Select all the values for k that make the equation 42 = k = 14 true.
588
6
2
14
52
3

Lets form a inequality

\(\\ \sf\longmapsto x>-4.5\)

\(\\ \sf\longmapsto x<-0.5\)

Now

\(\\ \sf\longmapsto -4.5\lt x\lt -0.5\)

Hence

\(\\ \sf\longmapsto x=\left\{-4.4,-4.3\dots -0.7,-0.6\right\}\)

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Answer:

A- Four hundred six thousand, seven hundred sixty-two

Hope this helps!

Answer:

A. Four hundred six thousand, seven hundred sixty-two

Step-by-step explanation:

Sound out the number before the comma first:

You would read it as four hundred six, not four hundred sixty (That would mean 460 and not 406.)

Sound out the number after the comma next:

You would read that as seven hundred sixty-two.

So combine them to say:

four hundred six thousand, seven hundred sixty-two. Choose A

A a gang of 17 bandits stole a chest of gold coins, using Chinese Remainder Theorem the smallest possible number of coins in the chest is given as 7.

The Chinese Remainder Theorem in Mathematics states that, assuming that n and the divisors are pairwise coprime, one may utilise the remainders of n's division by the product of these other numbers to get the unique remainder of n's division by n. (no two divisors share a common factor other than 1).

Apply Chinese Remainder Theorem we get,

x≡3(mod17),

So, (x-3) is divided by 17

so, x = 20

x≡10(mod16),

(x-10) is divided by 16

x = 26

x≡4(mod11)

(x-4) is divided by 11

So, x = 15

x≡0(mod7)

(x-0) is divided by 7.

So, x=7

So smallest possible coin is 7.

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Answer:

The S&P 500 index had a nominal 12-month return of 18.3% at the end of ... the rate of inflation was: Over the last 12 months, the consumer price index ... Expect a revisit to turmoil - an end to the relative calm energy markets of the past 12 months ... From June 30 through August 31, the value of the index decreased by 4.4% ...

Step-by-step explanation:

hope this help my best friend

and check your email

Answer:$73947.52

Step-by-step explanation:

The investment decreases in value, so the common ratio r is (1.000-0.012), or 0.988. Thus, A = $100,000* (0.988) ^25 = $73947.52 is the current value, after 25 years.

Answer:

Median: 5

Lower quartile: 4

Upper quartile: 7

Lowest value: 3

Highest value: 8

Box plot below

Step-by-step explanation:

When making a box plot, you plot the lowest value and the highest value. You make a box going from the lower quartile (in this case it's 4) to the upper quartile (7). You put a point on the median for the overall set of numbers, and you're done!

The Median is 5,The lower quartile is 4,The upper quartile is 7,The lowest value is  3,The highest value is  8.

We have given that 8, 3, 5, 5, 4, 7.

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

We have to make a box plot, first  plot the lowest value and the highest value. You make a box going from the lower quartile (in this case it's 4) to the upper quartile (7) and  put a point on the median for the overall set of numbers.

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Answer:

A. I can't quite see the question, but I'm pretty sure it's A

Step-by-step explanation:

Sin(A) = 1/3

Sin^2(A) + Cos^2(A) = 1

(1/3)^2 + cos^2(A) = 1

1/9 + cos^2(A) = 1

cos^2(A) = 1 - 1/9

cos^2(A) = 8/9

cos(A) = √(8/9)

√8 = √(2 * 2 * 2) = 2√2

√9 = 3

cos(A) = 2√2/3

To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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There are 36 '5' letter words that can be formed from the letters of "formulated" with 2 vowels, 3 consonants, and a vowel at the end.

Here, we have,

The word "formulated" has 4 vowels and 6 consonants. If each 5 letter word must contain 2 vowels and end with a vowel, there are two options for the last letter, "e" or "a". To form a 5 letter word with 2 vowels and 3 consonants, we need to choose 2 vowels from the 4 vowels in "formulated" and 3 consonants from the 6 consonants in "formulated". The order of the chosen letters does not matter, as we will arrange them later.

Thus, we can use the combination formula to find the number of ways to choose the vowels and consonants: C(4, 2) * C(6, 3) = 6 * 20 = 120.

Finally, we need to arrange these 5 letters in a specific order: consonant-consonant-vowel-consonant-vowel.

There are 3 choices for the first consonant, 2 choices for the second consonant (since it cannot be the same as the first), 2 choices for the vowel (either "e" or "a"), 3 choices for the third consonant (since it cannot be the same as the first or second), and 1 choice for the final vowel.

Thus, the total number of 5 letter words that can be formed from the letters of "formulated" with 2 vowels, 3 consonants, and a vowel at the end is 3 * 2 * 2 * 3 * 1 = 36.

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The population being studied in this scenario is the group of "students".

The type of study in this case is "observational".

To select the participants for the survey, the Math Department decides to use a "simple random sample" method.

The Math Library wants to understand which students are more likely to know about the homework help they offer. To gather the necessary information, they decide to conduct a study using a survey.

The type of study in this case is "observational". This means that the researchers will observe and collect data from the participants without intervening or manipulating any variables. They are interested in understanding the existing relationship between students' characteristics and their awareness of the Math Library's homework help.

To select the participants for the survey, the Math Department decides to use a "simple random sample" method. This involves using a random number generator to select 500 students from the list of students currently enrolled in math classes. By using a random sampling method, the researchers ensure that each student in the population has an equal chance of being selected, thus reducing bias and increasing the generalizability of the findings.

The choice of a simple random sample allows the researchers to obtain a representative subset of the student population. This method ensures that the selected sample is unbiased and provides a fair representation of the entire student population. By surveying a diverse group of students, the Math Library can gather information about various factors that may influence students' awareness of the homework help services.

Overall, by conducting an observational study using a simple random sample of students, the Math Library aims to gain insights into the factors that influence students' awareness of their homework help services. This information can then be used to develop targeted strategies to reach out to students who may benefit from the Math Library's resources.

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Answer: y

=

−

3

2

x

+

7

Step-by-step explanation: The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope and

b

is the y-intercept.

y

=

m

x

+

b

Answer:

2*3*3*3

Step-by-step explanation:

Answer:

54 = 2×3^3

Step-by-step explanation:

Factor the following integer:

54

Hint: | Is 54 divisible by 2?

The last digit of 54 is 4, which means it is even. Therefore 54 is divisible by 2:

54 = 2 27:

54 = 2×27

Hint: | Now try to factor 27. Is 27 divisible by 2?

27 is not divisible by 2 since 27 is odd and 2 is even:

54 = 2×27 (27 is not divisible by 2)

Hint: | Is 27 divisible by 3?

The sum of the digits of 27 is 2 + 7 = 9, which is divisible by 3. This means 27 is divisible by 3:

27 = 3 9:

54 = 2×3×9 (9 is not divisible by 2 since 27 is not)

Hint: | Now try to factor 9. Is 9 divisible by 3?

9 = 3 3, which means 9 is divisible by 3:

9 = 3 3:

54 = 2×3×3×3 (3 is not divisible by 2 since 9 is not)

Hint: | Now try to factor 3. Is 3 prime?

No primes less than 3 divide into it. Therefore 3 is prime:

54 = 2×3×3×3

Hint: | Express 54 as a product of prime powers.

There is 1 copy of 2 and 3 copies of 3 in the product:

Answer: 54 = 2×3^3

Answer:

I don't get the question?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Each box represents one observation.The data table is 7 boxes by 3 boxes.    7 * 3 is 21, so the answer is D.

Hope this helps :)

Have a nice day!

The ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

To determine how far up the side of the house the ladder reaches, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse of a right triangle, with one side being the distance from the base of the ladder to the house (6 feet) and the other side being the vertical distance we want to find. Let's call the vertical distance "x."

Using the Pythagorean theorem, we have:

(6^2) + (x^2) = (18^2)

36 + x^2 = 324

x^2 = 288

Taking the square root of both sides, we get:

x ≈ √288 ≈ 16.97

Therefore, the ladder reaches approximately 16.97 feet up the side of the house. Rounded to the nearest hundredth, it would be 16.97 feet.

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An 18-foot extension ladder is placed 6 feet away from a house.  How far up the side of the house does the ladder reach? (Round to the nearest hundredth).

Answer:

Answer c

Mark brainliest :)

Answer:

b) -9.9

Step-by-step explanation:

since its a negative its automatically smaller than any whole

hope this helps plz give brainliest

Answer

an=a1+(n-1)d

Step-by-step explanation:

a2-a=9_2=7

a3-a2=16-9=7

a4-a3=23-16=7

a5-a4=30-23=7

Answer:

3.92$

Step-by-step explanation:

Answer:

the tax is 3.92

Step-by-step explanation:

the total is: 94.08

Step-by-step explanation:

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.

Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.

The second word problem is:

It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)

Cost= m x+b

x is the cost per shirt, b is the handling charge

295=40m+b

565=80m+b

subtract the first equation from the second:

370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b

One the second question,

Cost= variable cost * n + Fixedcosts or

cost= n*v+F

1250=500v+f

1050=100v+f

subtract the second equation from the first

200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.

50 million people instead of 25 million people make up the population. The degree of assurance is reduced from 95% to 90%.

What is confidence interval?

A confidence interval in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified degree of confidence; the most popular level is 95%, but other levels, such 90% or 99%, are occasionally used.

Because the standard error is reduced as sample size increases, confidence intervals are narrower.

Therefore, we may state that when the population standard deviation rises, the width of the confidence interval will also rise.

Hence, 50 million people instead of 25 million people make up the population. The degree of assurance is reduced from 95% to 90%.

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Answer:  

$4.09

Step-by-step explanation:

14.20+6% of 14.20 = 15.05
118% of 15.05= 18.29
18.29-14.20=4.09

Answer:

  C. Exactly one solution

Step-by-step explanation:

You want to know the number of solutions of the system of equations shown in the graph.

A solution to a system of equations is the set of points on a graph where all of the equations are satisfied simultaneously. For a system of two linear equations, it will be the point(s) where the lines intersect.

Here, the lines intersect at one point, so there is exactly one solution.

Step-by-step explanation:

I believe the answer is

The fuction roughly matches the data

Answer:

The function fits very well

Step-by-step explanation:

The equation for the stats is

y=-0.039866x²+3.99375x-0.4785714

Step-by-step explanation:

< A = 4x

< B = 3x - 3°

<C = 5x + 3°

Solving for x

< A +<B + <C = 180° {Being sum of angles of triangle }

4x + 3x - 3 ° + 5x + 3° = 180°

12x = 180°

x = 180° / 12

x = 15°

Measure of <A

= 4 * 15°

= 60°

Measure of < B

= 3 * 15° - 3°

= 42°

Measure of < C

= 5* 15° + 3°

= 78°

Hope it will help :)❤

Answer:

solve for x = 15

Determine the measure of <A = 60

Determine the measure of <B = 42

Determine the measure of <C = 78

hope this helps :)

Based on the information provided, a) if X has a binomial distribution, n = 5 and p = 0.256. b) X can take values in the range of 0 to 5. c) The values of P(x) for x = 0, 1, 2, 3, 4 , 5 are 0.228, 0.392, 0.269, 0.093, 0.016, and  0.011 respectively. d) mean = 1.28 and standard deviation = 0.995.

a) If X has a binomial distribution n represents the number of tickets bought which is 5 and p represents the probability of winning a prize after taking a single ticket which is 0.256.

b) X can take values in the range of 0 to 5, which indicates the possible number of won tickets. Hence, x = 0, 1, 2, 3, 4, 5. c)

Using the binomial distribution formula, P (x) = nCx*p^x*(1 – p)^(n-x). Hence,

P(0) = 5C0*(0.256)^0*(1 – 0.256)^)(5-0) = 0.228

P(1) = 5C1*(0.256)^1*(1 – 0.256)^)(5-1) = 0.392

P(2) = 5C2*(0.256)^2*(1 – 0.256)^)(5-2) = 0.269

P(3) = 5C3*(0.256)^3*(1 – 0.256)^)(5-3) = 0.093

P(4) = 5C4*(0.256)^4*(1 – 0.256)^)(5-4) = 0.016

P(5) = 5C5*(0.256)^5*(1 – 0.256)^)(5-5) = 0.011

d) The mean and standard deviation of the distribution is given by:

mean = n*p = 5*0.256 = 1.28

standard deviation = √np(1 – p) = √5(0.256)(1 – 0.256) = 0.995

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