Wanda prepared 14 pizzas after working 2 hours. If Wanda prepares
Dizzas at the same rate, how many hours would Wanda have to work
to prepare 42 pizzas?

Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

we get that the expected value is

The probability that X is less than 10 is 0.3935 i.e. A. P(X < 10) = 0.3935.

The formula for the probability density function of an exponential distribution is f(x) = A*e^(-A*x), where A is the parameter of the distribution.

The mean of the distribution is u = 1/A and the standard deviation is a = 1/A.
Here,  u = 20, we can find the value of A as A = 1/20 = 0.05. Substituting this value in the formula for f(x), we get f(x) = 0.05*e^(-0.05*x).
Now we need to find the probability that X is less than 10, i.e., P(X < 10). This can be calculated using the cumulative distribution function (CDF) of the exponential distribution, which is given by F(x) = 1 - e^(-A*x).
Substituting the value of A and x = 10 in the formula for F(x), we get F(10) = 1 - e^(-0.05*10) = 0.3935.
Therefore, (A) P(X < 10) = 0.3935.

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Through the SAS rule of congruence, we prove that triangles LMY and LNX are congruent.​

Congruence is the condition when both of the figures have the same size, and shape and are mirror images of each other. SAS rule of congruence states when two sides and one angle is equal to the corresponding sides of the other triangle, then the two triangles are congruent.

Now, we have triangles LMY and LNX

In these two triangles, we have :

LX = LY { equal sides of isosceles triangle }

LM = LN { given}

∠LMY =  ∠LNX {corresponding angles of the equal sides of the isosceles triangle }

Hence, triangles LMY and LNX are congruent by the SAS rule of congruence.

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The probability of obtaining at least three tails is 5/16.

The probability of obtaining no heads is 1/16.

The probability of obtaining at least three tails, we need to calculate the probability of getting exactly three tails and the probability of getting four tails, and then add them together.

The probability of getting exactly three tails is (4 choose 3) x (1/2)³ x (1/2)

= 4/16

= 1/4.

The probability of getting four tails is (4 choose 4) x (1/2)⁴

= 1/16.

The probability of obtaining at least three tails is 1/4 + 1/16

= 5/16.

The probability of obtaining no heads, we need to calculate the probability of getting four tails.

The probability of getting four tails is (4 choose 4) x (1/2)⁴

= 1/16.

The probability of obtaining no heads is 1/16.

To get the likelihood of receiving at least three tails, we must first determine the likelihood of receiving precisely three tails and the likelihood of receiving four tails, and then put the two probabilities together.

The odds of having three tails precisely are (4 pick 3) x (1/2)3 x (1/2) = 4/16 = 1/4.

(4 pick 4) × (1/2)4 = 1/16 is the likelihood of receiving four tails.

1/4 + 1/16 = 5/16 is the likelihood of getting at least three tails.

We must determine the likelihood of receiving four tails before we can determine the likelihood of getting no heads.

(4 pick 4) × (1/2)4 = 1/16 is the likelihood of receiving four tails.

There is a 1/16 chance of getting no heads.

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Walt Disney holds the record for the most Academy Award nominations with 59 nods, while Edith Head holds the second-most with 52 nominations.

Walt Disney is considered to be one of the greatest animators and film producers in the world. He received a total of 59 Oscar nods and is the record holder for the most Academy Award nominations of all time. This great achievement was attained from a career that spanned over four decades.

Disney's work had a tremendous impact on the American film industry. He is known for pioneering new techniques in the animation industry, which helped to create some of the most memorable and beloved characters of all time. These characters include Mickey Mouse, Donald Duck, and many others.

The second-most Oscar nominations belong to Edith Head, who received 52 nods during her career as a costume designer. She was known for her work in Hollywood's Golden Age, which spanned from the 1920s to the 1960s. Her collaborations with famous filmmakers such as Alfred Hitchcock, Cecil B. DeMille, and others earned her a well-deserved reputation as one of the most respected and talented costume designers in the industry.

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Answer:

r=d/t

Step-by-step explanation:

d=rt

we are to make r the subject of the formula, so we remove t from the rhs.

we do this by dividing both sides by t

d divided by t= d/t and rt divided by t = r

therefore d/t =rt/t

= r=d/t

\(\\ \sf\longmapsto -1+100-(-55)\)

\(\\ \sf\longmapsto 99+55\)

\(\\ \sf\longmapsto 154\)

Option D

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

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Answer:

you would pay 2.38 sales tax for a 34 dollar pair of pants

Step-by-step explanation:

Perimeter of square

P = a²

P = 4²

P = 16 cm

Perimeter of circle

P = 2πr

P = 2 × π × 4

P = 8π

P = 8 × 3.14

P = 25.12 cm

so, the total parimeter of figure is

Pₜₒₜₐₗ = 16 + 25.12

Pₜₒₜₐₗ = 41.12 cm

Answer:

Step-by-step explanation:

CIRCLE PERIMETER

formula = 2 π r

2 * 3.14 * 4 =

25.12u

Total perimeter

25.12 + 4 + 4 + 4 + 4 =

41.12u

Since the denominators are equal, we can equate the numerators: x + k = y. Therefore, Sally made k out of the last 5 shots.

To solve this problem, we can use the concept of shooting percentages.

Sally has made x out of 20 shots, which gives her a shooting percentage of x/20.

After taking 5 more shots, Sally's shooting percentage increases to y/25.

To find the number of shots Sally made out of the last 5, we can set up the following equation:

(x + k)/(20 + 5) = y/25

Where k represents the number of shots Sally made out of the last 5.

Simplifying the equation, we have:

(x + k)/25 = y/25

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Answer:

B

Step-by-step explanation:

12x = 72

x = 6

12 x 6 = 72

Answer:

it would be b.

Step-by-step explanation:

if u plug a number into the x spot it would be 12 x 6 = 72

There are 45 handshakes that can be made between 10 people.

According to the given question.

Number of people invited in a party = 10

As we know that

The formula for the number of handshake possible with n people is given by

Number of handshakes = n(n -1)/2

This is because each of the people can shake with n -1 (they would not shake their own hand), and the handshake between two people in not counted twice.

Therefore, the number of hands each person shook

= 10(10 -1)/2

= 10(9)/2

= 45

Hence, there are 45 handshakes that can be made between 10 people.

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The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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The borrowed amount $900 initially, based on the given information of borrowing money for 2 years at 8 percent interest and having already paid $144 in simple interest.

To calculate the amount of money you borrowed, we can use the formula for simple interest: Interest = Principal × Rate × Time. In this case, we know the interest paid ($144), the rate (8 percent), and the time (2 years).

Using the formula, we can set up the equation:

$144 = Principal × 0.08 × 2

Simplifying further:

$144 = 0.16 × Principal

To isolate the principal, we divide both sides of the equation by 0.16:

$144 ÷ 0.16 = Principal

Calculating the result:

$900 = Principal

Therefore, the amount you initially borrowed is $900.

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Using the binomial distribution, the probability of at least 5 people in a population of 200 getting a virus with a probability of 0.02 is 0.1237. The probability of between 70 and 105 people in a population of 300 having a gene with a probability of 0.25 is 0.9189. The probability of rolling a 2 or 3 at least 6 and at most 10 times in 19 rolls of a fair die is 0.0065.

This scenario follows a binomial distribution with n=200 and p=0.02, where n is the number of trials and p is the probability of success. We want to find the probability of at least 5 people getting the virus, which can be written as P(X≥5). Using the binomial probability formula, we get:

P(X≥5) = 1 - P(X<5) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3) - P(X=4)

Using a binomial probability table or calculator, we can find the probabilities for each value of X:

P(X=0) = 0.9802, P(X=1) = 0.0392, P(X=2) = 0.0012, P(X=3) = 0.00003, P(X=4) = 0.0000006

Therefore,

P(X≥5) = 1 - (0.9802 + 0.0392 + 0.0012 + 0.00003 + 0.0000006) ≈ 0.038

So the probability that at least 5 people in a population of 200 get the virus is approximately 0.038.

This scenario follows a binomial distribution with n=300 and p=0.25. We want to find the probability that between 70 and 105 people have the gene, which can be written as:

P(70≤X≤105) = P(X≤105) - P(X<70)

Using a binomial probability table or calculator, we can find the probabilities for each value of X:

P(X<70) = 0.015, P(X≤105) = 0.999999999999997

Therefore,

P(70≤X≤105) = 0.999999999999997 - 0.015 ≈ 0.985

So the probability that between 70 and 105 people in a population of 300 have the gene is approximately 0.985.

This scenario follows a binomial distribution with n=19 and p=1/3, where p is the probability of getting either 2 or 3. We want to find the probability that the result is either 2 or 3 at least 6 and at most 10 times, which can be written as:

P(6≤X≤10) = P(X≤10) - P(X<6)

Using a binomial probability table or calculator, we can find the probabilities for each value of X:

P(X<6) = 0.778, P(X≤10) = 0.9999

Therefore,

P(6≤X≤10) = 0.9999 - 0.778 ≈ 0.221

So the probability that the result is either 2 or 3 at least 6 and at most 10 times in 19 rolls of a fair die is approximately 0.221.

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Answer:

4th option.

Step-by-step explanation:

You pay $9 and $__ for a total of $16.

$9 + $__ = $16.

9+__=16

Step-by-step explanation:

The degree of an algebraic expression is the largest exponent of the variable present. In expressions with multiple variables, the exponents of each variables are added.

First Expression;

pq: Degree = 1 + 1 = 2

p²q:  Degree = 2 + 1 = 3

p²q²:  Degree = 2 + 2 = 4

The degree of this expression is 4

Second Expression;

2y²z: Degree = 2 + 1 = 3

10yz: Degree = 1 + 1 = 2

The degree of this expression is 3

Answer:

Step-by-step explanation:

If I were to solve for x, the answer would be x  ≤  − 5.

Answer:

x ≤ -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

-4x + 10 ≥ 5x + 55

Step 2: Solve for x

Here we see that any value x smaller than or equal to -5 would work as a solution to the inequality.

Answer:

100 yards ( 300 feet) and it will cost $1650

Step-by-step explanation:

First you find the volume

so we do 20x10x1.5

The volume is 300 feet

Now its 16.50/yd of soil

a yard has 3 feet so lets do 300/3

300/3 is 100

So now we have to do 16.50 * 100

16.50 * 100 is 1650

Step-by-step explanation:

I guess the price is $16.50/yd³.

there are 12 inches in 1 ft.

there are 3 ft in 1 yd.

1 yd³ = 1 yd × 1 yd × 1 yd = 3 ft × 3 ft × 3 ft = 27 ft³

we need soil to fill a volume of

20 ft × 10 ft × 18 in = 20 ft × 10 ft × 1.5 ft = 300 ft³

300 ft³ = 300/27 = 100/9 yd³ = 11.11111111... yd³

we need to buy 11.11111111... yd³ or 100/9 yd³ of soil.

the price for this is

16.5 × 100/9 = 1650/9 = 550/3 = $183.3333333...

but normally, in a store, I cannot buy a fraction of a bag.

so, in order to fill 11.11111111... yd³ we might have to buy 12 yd³.

and the price for that would be

16.5 × 12 = $198.00

Answer:

300 ft

Step-by-step explanation:

1 yd = 3ft

We need to convert 100 yds to ft

100 yds  * 3 ft/ 1yds  = 300 ft

Answer:

300 ft us your answer er

Answer:

12f

Step-by-step explanation:

8f+5f-f

=13f-f

=12f

Answer:

12f

Step-by-step explanation:

8f+5f-f

=13f-f

=12f

Answer:

-1≤x≤3

Step-by-step explanation:

x²-2x-3≤0

(x-3)(x+1)≤0

x-3≤0   x≤3

x+1≤0   x≤-1

-1≤x≤3

We know,

\({\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}\)

⠀

Here,

⠀

Substituting the values in the formula :

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(14 \bigg)}^{3} }}}\)

⠀

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {2744 }}}}\)

⠀

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{ \cancel7} \times \cancel{2744 }}}}\)

⠀

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{ \cancel3} \times {22} \times \cancel{392 }}}}\)

⠀

\({ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = {4} \times {22} \times {130.66 }}}}\)

⠀

\({ \longrightarrow {\qquad {\pmb{\mathfrak{ Volume_{(Sphere)} = { 11498.66 }}}}}}\)

⠀

Therefore,