Simplify the expression (62)4.

Answer:

the circumference decreases by a factor 1/3.

Step-by-step explanation:

Answer:

A: The circumference decreases by a factor of One-third

Answer:

Parallelogram are quadrilaterals with opposite sides parallel, but adjacent sides not perpendicular. If the sides have equal lengths, then it is called a rhombus.

Step-by-step explanation:

Because the sides of the shape meet at angles which are not 90 degrees, so they cannot be perpendicular.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

A shape can have parallel sides but not perpendicular sides if it is not a rectangle or a square. Examples of such shapes include parallelograms, trapezoids, and rhombuses. In these shapes, the sides are parallel to each other, but they are not perpendicular to each other.

Because the sides of the shape meet at angles which are not 90 degrees, so they cannot be perpendicular.

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Answer:

46

Step-by-step explanation:

72 + 58 + 2x + 3x = 360

5x = 230

x = 46

Answer:

5/16 yd[tex]^{2}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Essentially, if we plug in any of the given choices into the function and we get 0, then that's our answer.

A) (-3)^2 + 2 * (-3) - 3 = 9 - 6 - 3 = 0  -  correct

B) (-1)^2 + 2 * (-1) - 3 = 1 - 2 - 3 = -4  -  incorrect

C) 0^2 + 2 * 0 - 3 = -3  -  incorrect

D) 2^2 + 2 * 2 - 3 = 4 + 4 - 3 = 5  -  incorrect

So, the answer is A.

The alternative, more "formal" way of doing this problem is to factor the quadratic: x^2 + 2x - 3 = (x + 3)(x - 1) = 0

Then set each of these equal to 0: x + 3 = 0 and x - 1 = 0

We get the values of x = -3 and x = 1. Only -3 is one of the answer choices, so A is correct.

Hope this helps!

Answer:

a) -3

Step-by-step explanation:

Zero of a function is the x-value where y = 0

x² + 2x - 3 = 0

x² + 3x - x - 3 = 0

x(x + 3) - (x + 3) = 0

(x - 1)(x + 3) = 0

x = 1, -3

Answer:

D. A weakness can be turned to strength

Answer:

d

Step-by-step explanation:

Answer:

x = -10.

Step-by-step explanation:

x / 10 = -1

To solve the equation we isolate the x on one side.

Whatever operation we do one one side of the equation we have to do the same on the other side so that the balance is maintained.

Here to isolate x we multiply both sides by 10:

x

--    * 10   =  -1 * 10

10

x = -10.

Hope this helps.

Answer:

The maximum is P=112.4 at (23.4,7)

Step-by-step explanation:

From the graph, the coordinates of the vertices of the feasible region are:

(0,25)

(9,7)

(23.4, 7)

(15,17.5)

Substituting these values in the objective function, P.

At (0,25), P = 6x − 4y=6(0)-4(25)=-100

At (9,7), P = 6x − 4y=6(9)-4(7)=26

At (23.4,7), P = 6x − 4y=6(23.4)-4(7)=112.4

At (15,17.5), P = 6x − 4y=6(15)-4(17.5)=20

Since the objective is to maximize,

The maximum is P=112.4 at (23.4,7)

To solve the linear programming problem, graph the inequalities to find the feasible region, then compute the function P = 6x − 4y at each corner point of the feasible region to find the maximum value. The values of x and y must also uphold all the inequalities.

The subject of the problem is a linear programming problem, and to solve it, we first identify the feasible region by graphing inequalities. This involves graphing x + 2y ≤ 50, 5x + 4y ≤ 145, 2x + y ≥ 25, y ≥ 7, and x ≥ 0. The feasible region would be formed by the area enclosed within those lines.

Next, we find the corner points of the feasible region because, in a linear programming problem, the maximum and minimum always occur at the vertices or corner points. Let's calculate these corner points.

Finally, we evaluate the function P = 6x − 4y at each corner point and find the value of P that would be maximized. It's crucial to remember that the values of x and y must satisfy all the given inequalities.

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Answer:

  1520.5 ft²

Step-by-step explanation:

A diagram can be helpful.

The total area is the sum of ...

  3/4 of a circle with radius 24 ft

  1/4 of a circle with radius 12 ft

  1/4 of a circle with radius 8 feet

__

The area of a whole circle is given by ...

  A = πr²

so our grazing area is ...

  A = (3/4)π(24 ft)² + (1/4)π(12 ft)² + (1/4)π(8 ft)²

  = π(432 ft² +36 ft² +16 ft²) = 484π ft²

  A ≈ 1520.5 ft²

h(t) = t+3

Find h(1)

h(1) = 1+3

h(1) = 4

The answer is 4.

Noticing that there is a pattern of repetition in the question (the numbers are repeated twice), we are assuming that the mean number of words per minute is 88, the standard deviation is of 14 WPM, as well as the number of sixth graders is 137, and that there is a need to estimate the probability that the sample mean would be greater than 89.87.

Answer:

"The probability that the sample mean would be greater than 89.87 WPM" is about [tex] \\ P(z>1.56) = 0.0594[/tex].

Step-by-step explanation:

This is a problem of the distribution of sample means. Roughly speaking, we have the probability distribution of samples obtained from the same population. Each sample mean is an estimation of the population mean, and we know that this distribution behaves normally for samples sizes equal or greater than 30 [tex] \\ n \geq 30[/tex]. Mathematically

[tex] \\ \overline{X} \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex] [1]

In words, the latter distribution has a mean that equals the population mean, and a standard deviation that also equals the population standard deviation divided by the square root of the sample size.

Moreover, we know that the variable Z follows a normal standard distribution, i.e., a normal distribution that has a population mean [tex] \\ \mu = 0[/tex] and a population standard deviation [tex] \\ \sigma = 1[/tex].

[tex] \\ Z = \frac{\overline{X} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex] [2]

From the question, we know that

We also know the size of the sample for this case: [tex] \\ n = 137[/tex] sixth graders.

We need to estimate the probability that a sample mean being greater than [tex] \\ \overline{X} = 89.87[/tex] WPM in the distribution of sample means. We can use the formula [2] to find this question.

The probability that the sample mean would be greater than 89.87 WPM

[tex] \\ Z = \frac{\overline{X} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex] \\ Z = \frac{89.87 - 88}{\frac{14}{\sqrt{137}}}[/tex]

[tex] \\ Z = \frac{1.87}{\frac{14}{\sqrt{137}}}[/tex]

[tex] \\ Z = 1.5634 \approx 1.56[/tex]

This is a standardized value and it tells us that the sample with mean 89.87 is 1.56 standard deviations above the mean of the sampling distribution.

We can consult the probability of P(z<1.56) in any cumulative standard normal table available in Statistics books or on the Internet. Of course, this probability is the same that [tex] \\ P(\overline{X} < 89.87)[/tex]. Then

[tex] \\ P(z<1.56) = 0.94062 \approx 0.9406[/tex]

However, we are looking for P(z>1.56), which is the complement probability of the previous probability. Therefore

[tex] \\ P(z>1.56) = 1 - P(z<1.56) = 1 - 0.9406[/tex]

[tex] \\ P(z>1.56) = P(\overline{X}>89.87) = 0.0594[/tex]

Thus, "The probability that the sample mean would be greater than 89.87 WPM" is about [tex] \\ P(z>1.56) = 0.0594[/tex].

The equation is [tex]-\frac{1}{2} x+3[/tex]

This is what you should input in the chart:

(0,3)

(3,2)

(6,1)

(9,0)

(12,-1)

(15,-2)

Answer:

160 pages.

Step-by-step explanation:

75% = 120 pages so , by proportion, 100% = 120 * 100/75

= 120 * 4/3

= 40 * 4

= 160 pages.

Answer:

160 pages

Step-by-step explanation:

75% of x = 120

Turn 75% into a fraction or decimal

75/100 * x = 120

0.75 * x =120

0.75 is multiplying with x so to get rid of 0.75, we have to multiply both sodes by 0.75

x = 120/0.75

x = 160

So there are a total of 160 pages in the book.

The standard error of the mean pertains to the variability of the mean between different samples, rather than the variability of individual measurements. Therefore, the correct interpretation is D. The typical distance between means of samples of size 25 and the population mean foot length is approximately 0.8 cm.

The most accurate interpretation for the standard error of the mean in the context of the given problem is: D. "The typical distance between means of samples of size 25 and the population mean foot length is approximately 0.8 cm".

The standard error of the mean (SEM) demonstrates the standard deviation of the sampling distribution of the means. It measures how far the sample mean of the data is likely to be from the true population mean. SEM gives us an estimate of the precision of our sample mean in relation to the true population mean. It's important to recognize that SEM is not about the dispersion of individual measurements, but rather about the dispersion of sample means.

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Step-by-step explanation:

It means every cake needs 2 eggs and 1 cup of sugar

So first we will multiply 21 by 2 to get the number of eggs = 21 ×2 = 42

So answer is 21 cups and 42 eggs

Answer:

-288

Step-by-step explanation:

-18*16

cause its going by 16's

pls mark me brainliest

a23 = -288

As the sequence is going by [tex]16[/tex].

∴ [tex]-18[/tex] × [tex]16=-288[/tex]

Therefore, [tex]a23=-288[/tex].

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Answer:

(B)This is a perfect cube.

(D)The side length is 4.

(E)Taking the cube root of the volume will determine the side length.

Step-by-step explanation:

Given a cube with a volume of 64 cubic centimeters.

The following conclusions can be reached:

(B)This is a perfect cube.

64=4 X 4 X4

(D)The side length is 4.

Volume of a Cube =[tex]s^3[/tex]

4 X 4 X4 =64 cubic centimeters.

(E)Taking the cube root of the volume will determine the side length.

[tex]\sqrt[3]{64}=4 cm[/tex]

These are not valid conclusions.

(A)The expression [tex]s^2[/tex], where s represents the side length, was used to solve for the volume.

(C)The side length is 8.

Answers on edugenuity

B

D

E

The pretax cost of debt is 5.43% and the aftertax cost of debt is 4.24%.

To calculate the pretax cost of debt, we need to find the current yield of the bond. The current yield is the annual coupon payment divided by the market price. In this case, the coupon rate is 5% and the market price is 92% of the face value. Therefore, the current yield is (0.05 * face value) / (0.92 * face value), which simplifies to 0.0543 or 5.43%.

To calculate the aftertax cost of debt, we need to multiply the pretax cost of debt by (1 - tax rate). In this case, the tax rate is 22%. Therefore, the aftertax cost of debt is 5.43% * (1 - 0.22), which simplifies to 4.24%.

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Answer:

6.7%

Step-by-step explanation:

In this question, we are to calculate the percentage error in in the average polling results calculated.

Firstly, what this means is that we calculate the average of the total votes.

That would be ; (66 + 56 + 55 + 60 + 63)/5 =

300/5 = 60%

we now proceed to calculate the percentage error in the company’s result.

Mathematically;

percentage error = (Actual value - expected value)/expected value * 100%

Here the actual value is 64% and the expected is 60%

% error = (64-60)/60 * 100 = 4/60 * 100 = 6.67%

This is 6.7% to the nearest tenth of a percent

The rental's total charge that includes insurance, represented by T(m), is the sum of the standard charge function C(m) and the insurance charge I, as in the equation T(m) = C(m) + I.

The question provided is incomplete as the functions for the standard charge and the insurance charge are not specified. However, assuming the functions are given by C(m) for the standard charge, where m is the number of miles driven, and I for the insurance charge, the total charge would be represented by the function T(m). The equation that relates the total charge to both the standard charge and the insurance charge would therefore be T(m) = C(m) + I. Simplifying the equation does not apply in this case as the individual functions are not provided for further manipulation.

Answer: 18.1 inches

Step-by-step explanation: A volleyball is spherical in shape, and the surface area of a sphere is giving by the formula

from the data giving, the surface area was calculated to be 227 square inches. from the above formula, we define the radius, r to be the subject of formula, we arrive at

if we substitute for the surface area, we arrive at

Hence the radius of the volleyball will be 18.1 inches  

Hope this helps

Answer:

g(2) = -3

Step-by-step explanation:

g(n) = n - 5;

Let n=2

g(2) = 2-5

      = -3

Answer:

g(2)= -3

Step-by-step explanation:

We want to find what g is, when n is 2, so we can substitute 2 in for n.

g(n)=n-5

g(2)=2-5

g(2)= -3

The sum of 13/20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.

We want to find the sum of ¹³/₂₀ and 0.72

This is expressed as;

¹³/₂₀ + 0.72

Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; ¹³/₂₀ = 0.65

Thus, we now have the decimal expression;

0.65 + 0.72 = 1.37

Thus, we can conclude that the sum of 13/20 and 0.72 when expressed in decimal form gives us 1.37.

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The sum of 13 / 20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.

To find the sum of 13 / 20 and 0.72, we can first convert 13/20 to a decimal by dividing 13 by 20.

This is expressed as;

13 / 20 + 0.72

Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; 13 / 20 = 0.65

Thus, we now have the decimal expression;

0.65 + 0.72 = 1.37

Thus, we can conclude that the sum of 13 / 20 and 0.72 when expressed in decimal form gives us 1.37.

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Answer:

Probability that at least 40 students have purchased textbooks from an off-campus vendor at least once during their college career is 0.0688.

Step-by-step explanation:

We are given that a survey of students at a large university found that 82% had purchased textbooks from an off-campus vendor at least once during their college career.

Also, 45 students are randomly sampled.

Let [tex]\hat p[/tex] = sample proportion of students who have purchased textbooks from an off-campus vendor at least once during their college career.

The z-score probability distribution for sample proportion is given by;

                               Z = [tex]\frac{\hat p- p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion = [tex]\frac{40}{45}[/tex] = 0.89

p = population proportion of students who had purchased textbooks from an off-campus vendor at least once during their college career = 82%

n = sample of students = 45

Now, probability that at least 40 students have purchased textbooks from an off-campus vendor at least once during their college career is given by = P( [tex]\hat p[/tex] [tex]\geq[/tex] 0.89)

      P( [tex]\hat p[/tex] [tex]\geq[/tex] 0.89) = P( [tex]\frac{\hat p- p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] [tex]\geq[/tex] [tex]\frac{0.89-0.82}{\sqrt{\frac{0.89(1-0.89)}{45} } }[/tex] ) = P(Z [tex]\geq[/tex] 1.50) = 1 - P(Z < 1.50)

                                                                      = 1 - 0.9332 = 0.0688

The above probability is calculate by looking at the value of x = 1.50 in the z table which ha an area of 0.9332.

Therefore, the required probability is 0.0688.

Step-by-step explanation:

1/3 πr²h

Given

diameter (d) = 8ft

radius (r) = d/2 = 8/2 = 4 ft

height (h) = 3 ft

Volume of cone

[tex] \frac{1}{3} \times \pi {r}^{2} h[/tex]

[tex] \frac{1}{3} \times 3.14 \times {4}^{2} \times 3[/tex]

[tex] \frac{150.72}{3} [/tex]

=50.24 ft³

The cone formula is V=1/3(pi*r^2)h, plug in what you know 150pi=1/3(pi*r^2)8.

Multiply both sides by 3: 450pi=(pi*r^2)8

Divide by 8: 56.25pi=pi*r^2

Divide by pi: 56.25=r^2

Square root both sides: 7.5=r

Multiply by 2 to find diameter: d=15

Answer:

If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, it will take 140 hours to fill the pool

Step-by-step explanation:

An inlet pipe can fill the pool in hours = 20

Inlet pipe 1 hour work = [tex]\frac{1}{20}[/tex]

A drain pipe can empty the pool in 21 hours

Drain pipe 1 hour work =[tex]\frac{1}{21}[/tex]

Inlet pipe and drain pipe 1 hour together work = [tex]\frac{1}{20}-\frac{1}{21}=\frac{1}{420}[/tex]

Now we are given that the pool is 2/3 filled

So, remaining portion to be filled =[tex]1 - \frac{2}{3} = \frac{1}{3}[/tex]

So, Inlet pipe and drain pipe fill [tex]\frac{1}{420}[/tex] in hours = 1

So, they can fill 1/3 in hours = [tex]\frac{1}{\frac{1}{420}} \times \frac{1}{3} =140 hours[/tex]

Hence If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, it will take 140 hours to fill the pool

Answer 2 dollars a ride.

Step-by-step explanation:

26=50-12x

x=2

x

Answer:

No, we can't reject [tex]H_0[/tex] at the α = 0.01 level of significance.

Step-by-step explanation:

We are given the sample of five matched pairs below ;

Sample 1 (B) :    20, 20, 23, 18, 22

Sample 2 (A) :   23, 16, 15, 14, 18

Let [tex]\mu_1[/tex] = population mean for first sample

[tex]\mu_2[/tex] = population mean for second sample

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_D[/tex] = 0    {means that there is no difference between the population means of both samples}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_D[/tex] > 0    {means that three is positive difference between the population means of both samples, i.e. population mean of first sample is higher than the population mean of second sample}

The test statistics that will be used here is Paired data test statistics;

                      T.S.  = [tex]\frac{\bar D-\mu_D}{\frac{s_D}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar D[/tex] = [tex]\bar B -\bar A[/tex] = 20.6 - 17.2 = 3.4

           [tex]s_D=\sqrt{\frac{\sum D_i^{2}-n \bar D^{2} }{n-1}}[/tex]  =  [tex]\sqrt{\frac{121-5 \times 3.4^{2} }{5-1}}[/tex] = 3.975

             n = sample size = 5

So, test statistics  =  [tex]\frac{3.4-0}{\frac{3.975}{\sqrt{5} } }[/tex]  ~ [tex]t_4[/tex]     

                               =  1.913

Now at 0.01 significance level, the t table gives critical value of 3.747 at 4 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 3.747 > 1.913, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the there is no difference between the population means of both samples.

Answer:

No, we can't reject  at the α = 0.01 level of significance.

Step-by-step explanation:

the other response is right

Though there are multiple solutions to the given equation, the two ordered pairs that are solutions would be both (1, 2) and (2, 4).

Hope this helps!

Answer:

10 meters

Step-by-step explanation:

The triangles are similar, by a scale factor of 2, so if QR is 10, then ST is 1/2 or 5

We can use trig functions to find SP

sin P = opp/ hyp

sin 30 =5/SP

SP sin 30 =5

Divide each side by sin 30

SP = 5 / sin 30

SP =10

Answer:

C. 10 meters

Step-by-step explanation:

sin(30) = QR/QP

½ = 10/QP

QP = 20

PS = ½ × 20

PS = 10