if y=12, what is the value of 85y+8-80y?

Answers

Answer 1

Answer: 68

Step-by-step explanation: Because I am smart  


Related Questions

If the function r(x) = f(x + 5), how can the graph of the function
r(x) be obtained from the graph of f(x)?

A. By translating the graph of f(x) five units to the right
B. By translating the graph of f(x) five units to the up
C. By translating the graph of f(x) five units to the left
D. By translating the graph of f(x) five units to the down

Answers

Answer:

letter b

Step-by-step explanation:

Help ASAP) What is the volume of the rectangular prism? Type the answer in the boxes below. Will Mark Brainliest and look at the picture. ​

Help ASAP) What is the volume of the rectangular prism? Type the answer in the boxes below. Will Mark

Answers

Answer:

45

Step-by-step explanation:

5x3x3

pls answer im dying here

pls answer im dying here

Answers

Answer: A rotation followed by a reflection. The two figures are congruent because (I'm not sure about this one because I don't know the options that the drop-down menu provides.)

a. Write an inequality that represents the numbers that are not solutions of x+3.8>11.3​ .
Inequality:
Question 2
b. Graph the inequality from part (a).

Answers

Inequality that represents the coordinates that are not the solutions of this inequality is x < 7.5. The graph of the inequality is attached at the end.

What are the various operators used in inequalities for comparison?

The various operators used in inequalities for expression are -

greater than - ' > 'less than - ' < 'greater than or equal to - ' 'less than or equal to -  ' '

Given is a inequality in one variable which is → x + 3.8 > 11.3.


PART - A

The inequality that represents the coordinates that are not the solutions of this inequality is -

x + 3.8 < 11.3

or

we can simplify it to get -

Subtract 3.8 from both sides -

x + 3.8 - 3.8 < 11.3 - 3.8

x < 7.5

PART - B

In order to plot the graph of this inequality, firstly we will plot the line of equation -

x = 7.5.

Since, the inequality is strict, make a dashed line to represent the equation.

Take the coordinates of origin O(0,0), and substitute it in the inequality -

0 < 7.5

which is true. Therefore, we will shade the complete side where origin lies.

The graph of the inequality is plotted an attached with the answer.

Therefore, inequality that represents the coordinates that are not the solutions of this inequality is x < 7.5. The graph of the inequality is attached at the end.

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a. Write an inequality that represents the numbers that are not solutions of x+3.8&gt;11.3 .Inequality:

Jess spins a pointer 25 times and finds an experimental probability of the pointer landing on 3 to be or 16%. The theoretical probability of the spinner landing on 3 is or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?

Answers

Answer:

The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.

Step-by-step explanation:

The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.

What is the probability?

Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times

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Which expression represents twice the sum of a number and six

Answers

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

1. The most useful statistical instrument to be used with big number of
respondents is______

2._______
is being carried out through personally asking questions to
knowledgeable people about the data needed.

3. The question "Do you prefer answering Self Learning Modules (SLM) than
workbooks?" is an example of________

4. The changes in characteristics, behavior and__________
of the people
observed are the focus of observation.

5.________
is a type of question that allows someone to give a free-form
answer.

Answers

The answer to all parts is shown below.

1. The most useful statistical instrument to be used with a big number of respondents is a survey questionnaire.

This allows researchers to collect data from a large sample size efficiently and in a standardized manner, ensuring that all respondents are asked the same questions in the same order. Online surveys are particularly useful as they can reach a wider audience and allow for easy data analysis.

2. The process you are referring to is called "expert interviews".

3. This is an example of a survey question that measures a respondent's preference.

4. The changes in characteristics, behavior, and attitudes of the people observed are the focus of observation.

5. Open-ended question.

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A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

Answers

Answer:

\(Distance = 880ft\)

Step-by-step explanation:

Given

\(Speed = 20\frac{miles}{hour}\)

\(Time = 30\ seconds\)

Required

Determine the distance

To answer this question, we make use of speed-distance relationship

\(Speed = \frac{Distance}{Time}\)

Make Distance the subject

\(Distance = Speed * Time\)

\(Distance = 20 miles/hour * 30 seconds\)

Convert seconds to hour

\(Distance = 20 miles/hour * \frac{30}{3600} hour\)

\(Distance = 20 miles * \frac{30}{3600}\)

\(Distance = \frac{20 miles * 30}{3600}\)

\(Distance = \frac{600\ miles}{3600}\)

\(Distance = \frac{1}{6} miles\)

Convert to foot

\(Distance = \frac{1}{6} * 5280\ ft\)

\(Distance = \frac{1* 5280\ ft}{6}\)

\(Distance = \frac{5280\ ft}{6}\)

\(Distance = 880ft\)

The circle graph shows how a family spends its annual income. If 27,600 is used for Food, Auto, and Clothing combined, what is the total annual income?

The circle graph shows how a family spends its annual income. If 27,600 is used for Food, Auto, and Clothing

Answers

$60000 is the total annual income of the family

How find the total annual income using the circle graph?

A circle graph is a circular chart divided into sections where each section represents a percentage of the total

Given that: $27,600 is used for Food, Auto, and Clothing combined

The percentages for Food, Auto, and Clothing are 18%, 12% and 16% respectively

Percentages for Food, Auto, and Clothing = 18+12+16 = 46%

Let T represent the total annual income

We can write that:

 46% of T =  $27,600

46/100 × T = 27,600

Solve for T:

46/100 × T = 27,600

T = (27,600×100) / 46

T = 27,60000/46

T = $60000

Therefore, the total annual income of the family is $60000

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*WILL GIVE BRAINLIEST FOR BEST ANSWER IF YOU DONT KNOW THE ANSWER ILL REPORT YOU*

How do you write 2.9 × 102 in standard form?

Answers

Answer:

Multiply 2.9 by 102.

295.8

Step-by-step explanation:

please........

The is thinking of a number which he calls n. He finds 1/3 of the number and subtracts 5

Answers

Answer:

I just did it its 1/3n - 5

Step-by-step explanation:

According to the last census (2010), the mean number of people per household in the United States is (https://www.census.gov/content/dam/Census/library/publications/2012/dec/c2010br-14.pdfLinks to an external site.). Assume a standard deviation of . You plan to take a random sample of 110 households, what is the probability the sample mean household size is between 2.5 and 2.66 people? (round your probabilities to three decimal places)

Answers

0.738 is the probability the sample mean household.

How does sampling distribution work?

When selecting random samples from a particular population, statisticians create a probability distribution of that statistic, which is known as a sampling distribution.

                             It reflects the frequency distribution of how widely spaced different outcomes will be for a particular population and is also referred to as a finite-sample distribution.

we  have to determine P[ 2.5 < X < 2.66]

 μₓ = 2.58

 σₓ = σ/√n = 0.75/√110 = 0.07150969

= p[2.5 < x < 2.66]

 = P[X < 2.66] - P[X < 2.5]

 = P[ X - μₓ/σₓ  < 2.66 - 2.58/0.07150969] - P[ X - μₓ/σₓ  < 2.50 - 2.58/0.07150969]

   = P[ Z < 1.12] -P[Z< -1.12]

   = 0.8686 - 0.1314

  = 0.737

P[Z< 1.12] - P[Z < -1.12]

= 0.869 - 0.131

= 0.738

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A running shoe store mounts a new promotional campaign. Purchasers of new shoes may, if dissatisfied for any reason, return them within 7 days of purchase and receive a full refund. The cost to the dealer of such a refund is $105. The dealer estimates that with an 11% probability each purchaser, for whatever reason, will return their pair of shoes and obtain refunds. Suppose that 120 pairs of shoes are purchased during the campaign period. Clearly the exact number of purchasers who return their product is unknown. Answer the following questions:

a. Describe the probability distribution of the number of pairs of shoes that will be returned for refunds.
b. What is the mean and standard deviation of the number of pairs of shoes that will be returned for refunds.
c. What is the mean and standard deviation of the total refund costs that will accrue as a result of these refunds.

Answers

Answer:

a

             \(P(K = k ) = \  ^nC_x * p^k  *  (1-p)^{n-k}\)

Here  k is the random number of number of pairs of shoes that will be returned for refund, which can be  k = 0,1 ,2,3,4 ..., 120

b

The mean is   \(E(K) =  np =  13.2\)  

The  standard deviation is  \(\sigma =  3.43\)

c

The mean is  \(E(C) =   E(105 K) =  1386\)

The standard deviation is   \(\sigma  =  381.48 \)  

Step-by-step explanation:

From the question we are told that

   The  cost to dealer for each refund is  \(C =  \$105\)

   The  probability  that a shoe will refunded is  \(P(x) =  0.11\)

   The number of shoes purchased is  n  =  120 pairs

Generally the probability distribution of the number of pairs of shoes that will be returned for refunds is

          \(P(K = k ) = \  ^nC_x * p^k  *  (1-p)^{n-k}\)

Here  k is the random number of number of pairs of shoes that will be returned for refund, which can be  k = 0,1 ,2,3,4 ..., 120

Generally the mean is mathematically represented as

     \(E(K) =  np =  120 * 0.11\)

=>    \(E(K) =  np =  13.2\)  

Generally the  standard deviation is mathematically represented as

     \(\sigma  =  \sqrt{ n*  p  (1-p)}\)

=>    \(\sigma  =  \sqrt{ 120* 0.11  (1-0.11)}\)

=>    \(\sigma =  3.43\)

Generally the total refund cost is mathematically represented as

     \(C =  105 K\)

Here K denotes the number of shoes returned

Generally the mean of the total refund cost is mathematically represented as

           \(E(C) =   E(105 K) =  105 E(K)\)

=>         \(E(C) =   E(105 K) =  105 * 13.2\)

=>         \(E(C) =   E(105 K) =  1386\)

Generally the variance of the total refund cost is mathematically represented as

       \(Var(K) =  105^2 *  E(K)\)

=>     \(Var(K) =  105^2 *  13.2\)

=>    \(Var(K) =  145530\)  

=>      \(\sigma =  \sqrt{145530 }\)

=>    \(\sigma  =  381.48 \)  

   

Simplify the expression:
2+1d+3a=4

Answers

Answer:

d=2-3a

Step-by-step explanation:

Solve for d by simplifying both sides of the equation, then isolating the variable.

3d+3a=4

Subtract 3 from each side of the equal sign:

d+3a=1

Subtract 3a-1:

d=2-3a

Hence d=2-3a is your final answer

Answer:

d = 2 - 3a

a = -d+2/3

Step-by-step explanation:

i didnt know which one u wanted to slove for but here are the answers and putting both equations would take to long so yea

lmk if this helped

The dimensions of a cylinder are shown in the diagram




Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters

The dimensions of a cylinder are shown in the diagram Round to the nearest whole number , what is the

Answers

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

In ADEF, f= 33 inches, ZF=140° and ZD=5°. Find the length of e, to the nearest 10th
of an inch.

Answers

The length of e is 29.53 inches.

what is Sine Law?

In the following, the law of sine is presented in detail: In a triangle, the sine of angle A divided by side "a" equals the sine of angle B divided by side "b" equals the sine of angle C divided by side "c".

Given:

f= 33 inches

<F= 140, <D = 5

Now,

<E= 180 - (<F+ <D) = 180 - (140 + 5) = 35

Using Sine law

sin F / f = sin E/ e

sin 140 / 33 = sin 35 / e

0.642/ 33 = 0.573 / e

0.0194 e= 0.573

e= 29.53 inches

Hence, the length of e is 29.53 inches.

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An expresion is shown. - 2 3 /4 + 3 2/3 What is the value of the expression?

Answers

,By following these steps, we can find the value of this expression:

\(-2\times\frac{3}{4}+3\times\frac{2}{3}\)

first we multiply both -2 and 3 by their corresponding fractions, we do this by just multiplying the numbers with the numerator of the fraction, like this:

\(\frac{-2\times3}{4}+\frac{3\times2}{3}=\frac{-6}{4}+\frac{6}{3}=-\frac{6}{4}+\frac{6}{3}\)

Now simplify the fractions:

\(-\frac{6}{4}+\frac{6}{3}=-\frac{3}{2}+2\)

To sum fractions, we have to make sure that the denominators are the same, this is not the case, we can make their denominators the same by dividing and multiplying the two by two, like this:

\(-\frac{3}{2}+2=-\frac{3}{2}+\frac{2\times2}{2}=-\frac{3}{2}+\frac{4}{2}\)

Now, we just have to sum up the numerators, like this:

\(-\frac{3}{2}+\frac{4}{2}=\frac{-3+4}{2}=\frac{1}{2}\)

Then, the value of this expression is:

\(\frac{1}{2}\)

5
A bag of marbles had 16 red marbles and the rest were white. For a game, of the 16 red marbles were chosen, and 15 of the white marbles were also
chosen.
Use this information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough information."

5A bag of marbles had 16 red marbles and the rest were white. For a game, of the 16 red marbles were

Answers

Is this algebra 1 or 2

Move numbers to the blanks to solve the problem 6 divided by 1/3

Answers

Answer:

18

Step-by-step explanation:

6 / (1 / 3) = 6 * 3 = 18

Answer:

18

Step-by-step explanation:

I did it and got it right

Use the distributive property to remove the parentheses. -3(4v-2y-6)

Answers

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

What is the square root of -1?

Answers

the answer its “i” because there are two complex square roots of −1, namely i and −i,

Answer:

i

Step-by-step explanation:

i stands of imaginary because no real numbers are negative

A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?

Answers

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

Is 1 is a root of f/x Which of the following must be true?

Answers

According to Polynomial System, the correct answer is that the roots of f(x) are (x+1).

A polynomial system (sometimes just a polynomial system) is a set of simultaneous equations f₁ = 0,..., fₙ = 0. where fi is a polynomial in multiple variables such as x₁,..., xₙ over the fields. k.

This is due to the zero product property that when two binomials are multiplied by 0, one of their factors must be 0.

A simple example of a system of polynomial equations is

x²+y²- 5 = 0

      xy-2 = 0.

Its solutions are the four pairs (x, y) = (1, 2), (2, 1), (-1, -2), (-2, -1). These solutions are easily verified by substitution, but proving that there are no other solutions requires more work.

Based on above description, we can say that:

(x+1) must be 0.

(x+1)=0

x=-1

Thus, If (x-1)=0 then x is 1 instead of -1 in question.

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Help with this calculus problem please

Help with this calculus problem please

Answers

You're using Newton's method to find the roots to

f(x) = g(x)   →   x ⁶ = cos(x)

Recast this as finding the roots to

h(x) = f(x) - g(x) = x ⁶ - cos(x)

First, get the tangent line approximation L(x) to h(x) at an arbitrary starting point x = x₀ ; in a small neighborhood of x₀, we have

h(x)L(x) = h(x) + h'(x) (x - x₀)

Find the root to the tangent line function:

0 = h(x) + h'(x) (x - x₀)   →   x = x₁ = x₀ - h(x)/h'(x)

x₁ is the first approximation of a root to h(x). Repeat the process - that is, take the tangent line to h(x) at x₁ to find the next approximation x₂, and so on - until you meet the required condition.

For the smaller root, take x₀ = -π/2 :

x₀ ≈ -1.5708

x₁ = x₀ - h(x)/h'(x) ≈ -1.31348

x₂ = x₁ - h(x)/h'(x) ≈ -1.11366

x₃ = x₂ - h(x)/h'(x) ≈ -0.982446

x₄ = x₃ - h(x)/h'(x) ≈ -0.928013

x₅ = x₄ - h(x)/h'(x) ≈ -0.920039

x₆ = x₅ - h(x)/h'(x)-0.919887

Stop at x₆ because |x₆ - x₅| ≤ 0.001.

For the larger root, you can start the process over with a different seed for x₀, such as π/2. But since h(x) is an even function and symmetric about the y-axis, the larger root will just be the same root with positive sign, 0.919887.

In triangle ABC acute angles are in the ratio 5:1, i.e.

Answers

Answer:

The quen is as following:

ABC is a right triangle at C,

Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.

The solution is:  m∠HCL = 30°

Step-by-step explanation:

See the attached figure.

∵The triangle is right at C   ∴∠C = 90°

∴∠A + ∠B = 90° ⇒(1)

∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1

∴∠A = 5 times ∠B

Substitute at (1)

∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15°  and ∠A = 75°

∵CL is an angle bisector of ∠ACB

∴ ∠ACL = 90°/2 = 45°

∵ CH is an altitude to AB ⇒ ∠CHA = 90°

At the triangle AHC:

∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°

∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°

PLEASE I NEED HELP THIS DEPENDS ON WETHER I STAY IN MY SOFTBALL TEAM

PLEASE I NEED HELP THIS DEPENDS ON WETHER I STAY IN MY SOFTBALL TEAM

Answers

Answer:

Circumference/Diameter = π

If the diameter is 2, then the circumference is 2π.

If the diameter is 6, then the circumference is 6π.

The amount of a same le remaining after T days is giving by the equation p(f)=a(1/2) T/h

Answers

Answer:

6

Step-by-step explanation:

SuperKrunch candy bars include both peanuts and almonds. Peanuts cost $5.00 per bag and almonds cost $8.50 per bag. The budget allows $850 to buy the nuts for a batch of candy bars. The relationship between the amount of each kind of nut and the cost for a batch of candy bars is 5x + 8.5y = 850, where x is bags of peanuts and y is bags of almonds. What is the y-intercept of the graph of this relationship, in context?
A.
5.0 bags almonds are purchased when no bags of peanuts are purchased
B.
8.5 bags of peanuts are purchased when no bags of almonds are purchased
C.
100 bags of almonds are purchased when no bags of peanuts are purchased
D.
170 bags of peanuts are purchased when no bags of almonds are purchased

Answers

Answer:

the answer is b

Step-by-step explanation:

got it right on the test

Answer:

B

Step-by-step explanation:

I got it right 2

HOW DO YOU SEE IT? You randomly select two marbles from a bag, one at a time. The sample space is shown, with each first selection on the left. What is the probability that you select a red marble second, given that you randomly selected a blue marble first? Write your first answer as a simplified fraction. Round your percent answer to the tenths place.

Answers

Answer:

Brainliest please, It helps me!

Step-by-step explanation:

The probability of selecting a red marble second given that you randomly selected a blue marble first can be found using conditional probability.

First, we need to determine the total number of possible outcomes. From the sample space provided, there are a total of 6 possible outcomes: BB, BG, BR, GB, GG, and GR.

Next, we need to determine the number of outcomes where a blue marble is selected first. From the sample space, there are 3 outcomes where a blue marble is selected first: BB, BG, and BR.

Finally, we need to determine the number of outcomes where a red marble is selected second given that a blue marble was selected first. From the sample space, there is only one outcome where this occurs: BR.

Therefore, the probability of selecting a red marble second given that you randomly selected a blue marble first is 1/3 or approximately 33.3%.

factorise x³-4x²+x+6​

Answers

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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Other Questions
You are a trainee accountant in your second year of training within a small practice. A more senior trainee has been on sick leave, and you are due to go on study leave. You have been told by your manager that, before you go on leave, you must complete some complicated reconciliation work. The deadline suggested appears unrealistic, given the complexity of the work.You feel that you are not sufficiently experienced to complete the work alone. You would need additional supervision to complete it to the required standard, and your manager appears unable to offer the necessary support. If you try to complete the work within the proposed timeframe but fail to meet the expected quality, you could face repercussions on your return from study leave. You feel slightly intimidated by your manager, and also feel pressure to do what you can for the practice in what are challenging times.Key fundamental principles affectedIntegrity: Can you be open and honest about the situation? Would it be right to attempt to complete work that is technically beyond your abilities, without proper supervision?Professional competence and due care: Is it possible to complete the work within the time available and still act diligently to achieve the required quality of output?Professional behavior: Can you refuse to perform the work without damaging your reputation within the practice? Alternatively, could the reputation of the practice suffer if you attempt to perform the work?Identify relevant facts:Identify relevant employment issues:Identify affected parties:Who should be involved in the resolution: How can we see the changes that are happening during the WW1 through the poems written by soldiers?{will mark brainiest} True or False: The Mongol rule brought stability to the areas they conqueredWill give brainlyest! Which of the statements about the evolution of the citric acid cycle are consistent with existing knowledge?A) Early organisms may have lacked the enzyme *-Ketoglutarate dehydrogenaseB) The citric acid cycle may have evolved from two biosynthetic pathways in early life formsC) A reductive citric acid cycle can replenish oxidized cofactors such as NADHD) Although some organisms do not use the citric acid cycle under anaerobic conditions, they use a reductive pathway similar to the citric acid cycle to generate some larger moleculesE) The citric acid cycle may have originated from two pathways - a reductive pathway and an oxidative pathway Explain the scientific reason of why Venice is always flooding so often Which one are only the elements?a. Nitrogen gas (N2), Carbon dioxide (CO2), Sulfur dioxide (SO2)b. Steel, milk, Chlorine gas (Cl2)c. Aluminium (Al), iron (Fe), Sulfur (S)d. Steam (H2O), Sulfuric acid (H2SO4), Iodine gas (I2) What happened to the family that was in the Arch with Percy?Chapter 14 The Lighting Thief Topic 5: Solving Proportional word problems.Note: A proportion is an equation that states that two ratios are equivalent. Todetermine whether a pair of ratios forms a proportion, use cross products. You canalso use cross-products to solve proportions.Ex 5: solve each using a proportion.a.6 cans of soup cost $2.46.How much would 10 cans cost?b. If h lb of turkey has 320 calories,how many calories are in 3/4 pounds? Culture in Central AsiaMost languages arerelated to Turkishor PersianMost people live inrural areas?O A. The cities are extremely wealthy.B. There is a wide variety of ethnic groups.C. Most people are Christians.D. Governments mostly support artists. unit 6lesson 4 practice problems:Find the products.a. (100) (-0.09)b. (-7) (-1.1)C. (-7.3). (5)d. (-0.2) (-0.3) How accurate is the perception of the roaring twenties as an era of prosperity How do you simplify 9:3 In a population, a random variable X follows a normal distribution with an unknown population mean u, and unknown standard deviation o. In a random sample of N=16, we obtain a sample mean of X = 50 and sample standard deviation s = 2. 1 Determine the confidence interval with a confidence level of 95% for the population mean. Suppose we are told the population standard deviation is a = 2. 2 Re-construct the confidence interval with a confidence level of 95% for the average population. Comment the difference relative to point 1. 3 For the case of a known population standard deviation a = 2, test the hypothesis that the population mean is larger than 49.15 against the alternative hypothesis that is equal to 49.15, using a 99% confidence level. Comment the difference between the two cases. In a video game, a player can choose a character from 9 animal characters and 5 human characters. Players can let the computer randomly select a character for them. What is the probability the computer will pick an animal character if it is allowed to choose? Enter your answer as a fraction in simplest form in the boxes metabolic engineering of the shikimate pathway for production of aromatics and derived compounds-present and future strain construction strategies. AIf the two triangles shown below are similar based on the giveninformation, complete the similarity statement, otherwise choose the"Not Similar" button.A12 mmG6 mm1518 mm16 mm6 mm3 mmHB ~ What is the purpose of a topic sentence?O to state the main ideaO It's the thesis of the essay.to give a transition between ideasO to state a supporting detail The perimeter of a rectangle is 68 inches. Its width is 16 inches. What is its length? A 16 inches B 18 inches C 20 inches D 22 inches HELP ASAP PLS....... Which process could not occur if Earth's atmosphere did not absorb heat from the sun?Aatmospheric convectionBvolcanic eruptionsCsolar windDplate tectonics The perimeter of the base of a square pyramid is 64 inches. The slant height of the pyramid is 9 inches. What is the surface area of the pyramid.