Simplify the expression.
(5y) 4
The expression is ?

Answer:

17.85

Step-by-step explanation:

it would be $5.95 per tree times that by 5 you get $17.85

The ratio of YZ to UV is 2:1

1) Considering that the distance between YZ is 4√5 and the distance between points U and V is 2√5 the ratio of YZ to UV can be found through this:

2) Let's rationalize it by multiplying both numerator and denominator by √5 to simplify removing the radicals on the denominator.

3) So the ratio of YZ to UV is 2:1

There is no graph for Elevator B. I'm sorry if I'm mistaken.

Answer:.....

Step-by-step explanation:.....

the answer is in the picture

Answer:

It costs $560 to enclose a 50' by 40' rectangular area.

Step-by-step explanation:

50 + 40 = 90

90 x 4 = 360 because of the $4 per foot

360 + 200 = 560, you add 200 because of the flat rate charge.

Answer:

$660

Step-by-step explanation:

multiply 12,000 by 5.5% and get 660

The mean hourly wage is $18.The standard deviation is approximately $5.31.The 25th percentile is $13.

The hourly wages of a sample of eight individuals:Individual Hourly wage ($)a 27b 25c 20d 10e 12f 14g 17h 19a) Mean of hourly wages:Mean is calculated by taking the sum of all values and dividing by the total number of values.mean = (a + b + c + d + e + f + g + h) / 8= (27 + 25 + 20 + 10 + 12 + 14 + 17 + 19) / 8= 144 / 8= 18Therefore, the mean hourly wage is $18.

Standard deviation of hourly wages:Standard deviation is a measure of the amount of variation or dispersion of a set of values. It is calculated by taking the square root of the variance. Variance is calculated by taking the average of the squared differences of each value from the mean. Here, we will use the formula of sample standard deviation.S = √[Σ(xi - x)² / (n - 1)]Where,S is the standard deviation.x is the mean hourly wage.n is the number of observations.Σ is the sum of.xi is the ith observation.Substituting the values in the above formula:S = √[(27 - 18)² + (25 - 18)² + (20 - 18)² + (10 - 18)² + (12 - 18)² + (14 - 18)² + (17 - 18)² + (19 - 18)² / 7]S = √[198 / 7]S = √28.29Therefore, the standard deviation is approximately $5.31.

25th percentile of hourly wages:The 25th percentile is the value below which 25% of the observations fall. Here, we will calculate the 25th percentile by arranging the hourly wages in ascending order and then finding the value that corresponds to the 25th percentile. Therefore, the values are:10, 12, 14, 17, 19, 20, 25, 27Total observations = 8As we need the value for the 25th percentile, we need to find out which observation is at that point.25% of 8 = 0.25 × 8 = 2As the value 2 is a whole number, we can say that the 25th percentile falls between the 2nd and 3rd observations.Therefore, the 25th percentile can be approximated as the average of the 2nd and 3rd observations.(12 + 14) / 2 = 13Therefore, the 25th percentile is $13.

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The constraint optimization problem can be solved by determining the expressions for x' and y' and confirming the second-order condition using the bordered Hessian Matrix. The value function and the Envelope Theorem can be used to analyze the effects of changes in income and prices on the optimal value of u(x, y).

To find the expressions for x' and y', we set up the Lagrangian function:

\(L(x, y, \lambda) = 2x^2 + y - \lambda (p_x * x + p_y * y - M)\)

Taking partial derivatives with respect to x, y, and λ, we get:

\(\partial L/\partial x = 4x - \lambda p_x = 0\\\partial L/\partial y = 1 - \lambda p_y = 0\\p_x * x + p_y * y = M\)

Solving these equations simultaneously, we find the optimal values of x and y. Differentiating the first-order conditions, we obtain the second derivative expressions, denoted as 2". The bordered Hessian matrix can be used to confirm the second-order condition for part (a).

To derive the value function, we substitute the optimal values of x and y into the utility function: u(x, y) = 2(x')² + y'.

Suppose the income increases by one unit. We can determine the effect on the optimal value of u(x, y) by using the value function and considering the change in the optimal values of x and y.

Applying the Envelope Theorem, we can evaluate the change in the optimal value of u(x, y) by taking the derivative of the value function with respect to income, while keeping the prices constant.

Similarly, if the price of y increases by one unit, we can analyze the impact on the optimal value of u(x, y) using the Envelope Theorem and considering the change in the optimal values of x and y, with the price of y denoted as p.

These steps will help us understand the changes in the optimal values of u(x, y) under different scenarios based on the given utility function, prices, and income.

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The finished quilt has dimensions of 7 feet by 27 feet and an area of 36 square feet.

To solve for the dimensions of the border, we can use a trial-and-error method or use a factorization method to find two numbers that multiply to 11. For example, we can use 1 foot and 11 feet as the length and width, respectively, which gives us:

Area of border = Length x Width

11 square feet = 1 foot x 11 feet

Therefore, the border is 1 foot wide on one side and 11 feet long on the other side.

Since the main design is a square with each side measuring 5 feet and the border is 1 foot wide on one side and 11 feet long on the other side, the total dimensions of the quilt are:

Length = Length of main design + 2 x Width of border

Length = 5 feet + 2 x 1 foot

Length = 7 feet

Width = Width of main design + 2 x Length of border

Width = 5 feet + 2 x 11 feet

Width = 27 feet

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Complete Question:

Maria makes a quilt. The main design is 5 feet long on each side. Then she adds a

border around the main design. The finished quilt has an area of 36 square feet.

What is the dimension of one side of the finished quilt?

Answer:

a couple different obes

Step-by-step explanation:

there are five

Answer:

32725

Step-by-step explanation:

             385

            x445      

            1925

          15400

        +15400

         32725

Hope this helps :)

Answer:

v=2144.66

Step-by-step explanation:

formula: 4/2 (pi) (r)³

................

Answer:

V = 2143.573333333333.... in³

Step-by-step explanation:

Formula for volume -> V = 4/3 πr³

We know the circumverence now we need to et the radius.

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius.

16pi/pi = 16/2 = 8

V=4/3πr³

V=4/3π8³ = 2143.5733333333333333333333333333333333333333333333333333333333333...

Answer: 0.51

Step-by-step explanation:

To find the value of P(F|B), we need to use the formula:

P(F|B) = P(F and B) / P(B)

where P(F and B) is the probability that a student prefers brand B and their strongest stroke is freestyle, and P(B) is the probability that a student prefers brand B.

From the given table, we can see that:

P(F and B) = 26/95

P(B) = 51/95

Therefore, we can calculate

:P(F|B) = (26/95) / (51/95) = 26/51 ≈ 0.51

So, the correct value of P(F|B) is approximately 0.51, which can be interpreted as the probability that a student's strongest stroke is freestyle given that they prefer brand B.

So, we know that:

Every 12 hours, the population doubles.

We start with 1000 bacteria.

We want to find the number of bacteria after 72 hours (3 days).

72 / 12 = 6, so we know the population doubles 6 times.

So set up a formula:

It doubles six times, so we must do 2^6 * 1000 = P

P = 64,000 bacteria, or 6.4 x 10^4 in scientific notation.

Asymptote indicates that as time increases, the number of bacteria approaches 0.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Once an antibiotic is given, number of bacteria decreases at a rate of 15% /day.

There were about 15,000 bacteria prior to the treatment.

The line y = 0 is an asymptote of the graph.

The y-intercept is 15,000.

The y-intercept represents the number of bacteria when treatment began.

The asymptote indicates that as time increases, the number of bacteria approaches 0.

Hence, asymptote indicates that as time increases, the number of bacteria approaches 0.

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The approximate probability that the sample mean will be greater than 63 is 0.0885, rounded off to the second decimal place.

What is Central Limit Theorem?

The Central Limit Theorem (CLT) is a fundamental concept in statistics and probability theory. It states that, under certain conditions, the distribution of the sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To find the approximate probability that the sample mean will be greater than 63, we can use the Central Limit Theorem. The Central Limit Theorem states that for a large enough sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution.

In this case, since the sample size is 58 (which is reasonably large), we can use the normal distribution to approximate the probability.

First, we need to calculate the standard error of the sample mean, which is the standard deviation of the population divided by the square root of the sample size:

Standard Error (SE) = Standard Deviation (σ) / √Sample Size (n)

SE = 17 / √58 ≈ 2.2271

Next, we can standardize the sample mean using the formula:

Z = (Sample Mean - Population Mean) / Standard Error

Z = (63 - 60) / 2.2271 ≈ 1.3488

Now, we need to find the probability of Z being greater than 1.3488 using the standard normal distribution table or a statistical calculator. Looking up the corresponding probability, we find that it is approximately 0.0885.

Therefore, the approximate probability that the sample mean will be greater than 63 is 0.0885, rounded off to the second decimal place.

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Answer

sqrt 544 feet

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

12^2 + 20^2= c^2

144+400=c^2

544=c^2

c= sqrt 544

Answer:

Step-by-step explanation:

The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus

d² = 6² + 4² = 52

d = √52 = 7.2 km

The total distance that he drove on his birthday is

6 + 4 + 7.2 = 17.2 km

If the system has infinite solutions, it means that the two equations are not independent, but rather one equation is a multiple of the other. In other words, the second equation must be a multiple of y = 7x + 8.

One possible equation that completes the system is:

14y = 98x + 112

To check that this equation works, we can substitute y = 7x + 8 into the equation:

14(7x + 8) = 98x + 112

98x + 112 = 98x + 112

As we can see, the equation is true for any value of x, which means that it is satisfied for any value of y that corresponds to y = 7x + 8.

Therefore, the system of equations that has y = 7x + 8 as one of its equations and has infinite solutions is:

y = 7x + 8

14y = 98x + 112

If this professional basketball player makes his second free shot but misses his first, the probability is 0.18.

Probability is the discipline of mathematics that investigates the probable outcomes of given occurrences, as well as the relative likelihoods and distributions of those possibilities. Probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are. Statistics is the study of occurrences guided by probability. Probability is computed by dividing the number of possible outcomes by the total number of possible outcomes. Probability and odds are two distinct ideas. Odds are calculated by dividing the chance of something happening by the probability of it not happening.

Here,

percent of missing first throw=40%

percent of making second throw=45%

Probability that if this professional basketball player has made his second free throw and he missed his first throw,

=0.40*0.45

=0.18

Probability that if this professional basketball player has made his second free throw and he missed his first throw will be 0.18.

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The probability that the student really knew the correct answer is 0.9375, or 93.75%.

(i) If the probability that the student knows the answer to the question is 0.75 and the probability that the student guesses is 0.25, the probability that the question is answered correctly is:

P(correct) = P(knowing the answer) * P(guessing correctly given knowing the answer) + P(guessing) * P(guessing correctly given guessing)

In this case, the probability of guessing correctly given knowing the answer is 1, since the student knows the correct answer. And the probability of guessing correctly given guessing is 0.25.

Therefore, P(correct) = 0.75 * 1 + 0.25 * 0.25 = 0.75 + 0.0625 = 0.8125

(ii) If it is answered correctly, what is the probability that the student really knew the correct answer?

This is called conditional probability and is represented as P(knowing the answer | correct). To calculate it we use Bayes' theorem,

P(knowing the answer | correct) = P(correct | knowing the answer) * P(knowing the answer) / P(correct)

In this case, P(correct | knowing the answer) = 1, P(knowing the answer) = 0.75 and P(correct) = 0.8125

Therefore, P(knowing the answer | correct) = 1 * 0.75 / 0.8125 = 0.9375

So the probability that the student really knew the correct answer is 0.9375, or 93.75%.

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Deb had 2 3/4 pounds of blueberries. Deb let her friend clarence eat 1/4 of the blueberries. Clarence ate 0.6875 pounds of blueberries.

To find out how many pounds of blueberries Clarence ate, we need to first convert the 2 3/4 pounds to a decimal. We can do this by dividing the numerator (3) by the denominator (4) and adding the result to the whole number (2).

2 3/4 pounds = 2 + (3/4) = 2 + 0.75 = 2.75 pounds

Now we know that Deb had 2.75 pounds of blueberries. To find out how many pounds of blueberries Clarence ate, we need to multiply this amount by the fraction of blueberries he ate (1/4).

2.75 pounds x 1/4 = 0.6875 pounds

So Clarence ate 0.6875 pounds of blueberries.

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Answer: florist a is cheaper than florist b

Step-by-step explanation: the price of florist B's flowers are 5.20$ more than florist A's

The expression for Jason's earnings and spending for a day can be written as Earnings = 30x, Spending = 40.

Expression for Jason's earnings and spending:

Let E be the amount Jason earns in a day and S be the amount he spends on transportation and food.

We know that Jason makes $30 per hour, and let's assume he works for x hours in a day. So, the amount he earns in a day can be expressed as:

E = 30x

Similarly, we know that he spends $40 on transportation and food in a day. Therefore, the expression for his spending can be written as:

S = 40

Hence, the expression for Jason's earnings and spending for a day can be written as:

Earnings = 30x

Spending = 40

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Answer:

Step-by-step explanation:

A direct variation equation is of the form ...

  y = kx

for some constant k. We can arbitrarily choose k=1.5, so our equation is ...

  y = 1.5x

For x=10, the value of y is ...

  y = 1.5·10 = 15

The set 3 = y + 1 and x = -6 does not belong to the four sets of equations because it a linear equation with one variable.

Linear equation has only one variable. The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution

While simultaneous equations are two or more equations that are satisfied by the same set of values for the variables.

we can observe that the pairs;

y = 3x + 1

y = 3x - 1,

-2x + y = 2

-4x + 2y = 4 and,

y - 1 = 2(x + 4)

y + 3 = -5(x + 1)

all have more than one variable and can give the same set of values to satisfy for each pair.

But the set;

3 = y + 1 and x = -6 only have one variable each and will have only on solution.

In conclusion, only the set of equations 3 = y + 1 and x = -6 with one variable does not belong.

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There is sufficient evidence at the 0.05 level to support the company's claim that less than 38% of computer chips fail in the first 1000 hours of their use, based on a one-tailed z-test for proportions with a test statistic of -3.17.

Null Hypothesis (H0): The proportion of computer chips failing in the first 1000 hours of use is greater than or equal to 0.38.

Alternative Hypothesis (Ha): The proportion of computer chips failing in the first 1000 hours of use is less than 0.38.

The level of significance is 0.05.

To test the hypothesis, we can use a one-tailed z-test for proportions.

The test statistic can be calculated as

z = (p - P) / sqrt((P×(1-P))/n)

where,

p = sample proportion = 0.34

P = hypothesized proportion = 0.38

n = sample size = 900

Substituting the values, we get

z = (0.34 - 0.38) / sqrt((0.38×(1-0.38))/900) = -3.17

At a significance level of 0.05, the critical value of z is -1.645 (for a one-tailed test).

Since the calculated test statistic (-3.17) is less than the critical value (-1.645), we can reject the null hypothesis.

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These scores are used to provide an overall measure of an individual's intelligence and cognitive abilities.

Gregory most likely took an intelligence test, specifically the Wechsler Adult Intelligence Scale (WAIS). The WAIS is designed to measure an individual's cognitive abilities and is commonly used in psychological assessments. It consists of a full scale or total score, which is a combination of the verbal score and the performance score. The verbal score measures an individual's language and communication skills, while the performance score measures an individual's ability to solve problems and complete tasks. These scores are used to provide an overall measure of an individual's intelligence and cognitive abilities.

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