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Hunter-Best [27]

2 years ago

12

A steel hex nut has two regular hexagonal faces and a hole with a diameter of 0.4 cm through the middle. Its mass is 3.03 grams.

Complete the steps to calculate the density of the steel. Calculate the volume of the prism. Recall that the area of a hexagon is times the apothem times the perimeter. V = cm3 Calculate the volume of the cylinder. Round to the nearest hundredth. V = cm3 Find the volume of the composite figure. V = cm3 Calculate the density by dividing the mass by the volume. d = g/cm3

2 answers:

Minchanka [31]2 years ago

8 0

Answer:

1. B

2. A

3. A

4. C

Step-by-step explanation: Got it right on e{dg}enuity.

marin [14]2 years ago

7 0

1.V = 0.45cm^3

2.V = 0.06cm^3

3.V = 0.39cm^3

4.D = 7.77g/cm^3

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Cameron wondered if the average score on a final exam was different between those who texted on a regular basis during the lectu

Margarita [4]

Answer:

c. A two-tailed test should be performed since the alternative hypothesis states that the parameter is not equal to the hypothesized value.

Step-by-step explanation:

Let p1 be the average score on a final exam who texted on a regular basis during the lectures for a particular class

And p2 be the average score on a final exam who did not texted at all during the lectures for a particular class

According to the Cameron's point of interest, null and alternative hypotheses are:

$H_{0}:$ p1 = p2

$H_{a}:$ p1 ≠ p2

Two tailed test should be performed since the alternative hypothesis states that the parameter is not equal to the hypothesized value.

3 0

2 years ago

Ethan enjoys buying books and going to the movies. He has income of $150 to spend on these two goods each month. The price of a

erica [24]

Answer: A

Step-by-step explanation:

A.) the substitution effect would predict Ethan would consume less books and more movies and the income effect would predict he would consume less of both.

B.) the substitution and income effects would both predict Ethan would consume less of both goods.

C.) the substitution effect would predict Ethan would consume more books and less movies, and the income effect would predict he would consume less of both.

D.) the substitution and income effects would both predict Ethan would consume more of both goods.

If he continuos to buy 4 books ans 6 movies the total amount is $170, that he does not have. He has to buy less books or go less to the movies.

A global efect of a certain good (X) price rise can be divided into 2 efects:

substitution effect: indicates a demand reduction of X, resulting from the price rise, making X less atractive to consumption
income effect: indicates a reduction of the demanded quantity of X resulting from the reduction of the acquisition power created by the rise of X price.

So, answer is A.

5 0

2 years ago

A band director uses a coordinate plane to plan as how for a football game. During a show, the drummers will march along the lin

LenaWriter [7]

Answer:

The equation in slope-intercept form for the path of the trumpet players is $y=\frac{x}{5}+\frac{12}{5}$ .

Step-by-step explanation:

Consider the provided information.

The drummers will march along the line y=-5x-8.

The trumpets players will march along a perpendicular line that passes through (-2,2).

The slope of line y=-5x-8 is: m₁ = -5.

The slope of perpendicular lines are: $m_1\times m_2=-1$

$-5\times m_2=-1$

$m_2=\frac{1}{5}$

Hence, the slope of the line should be 1/5.

The line passes through (-2,2).

Now use point slope form to find the equation of line.

$y-y_1=m(x-x_1)$

Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.

$y-2=\frac{1}{5}(x+2)$

$y-2=\frac{x}{5}+\frac{2}{5}$

$y=\frac{x}{5}+\frac{2}{5}+2$

$y=\frac{x}{5}+\frac{12}{5}$

Hence, the equation in slope-intercept form for the path of the trumpet players is $y=\frac{x}{5}+\frac{12}{5}$ .

4 0

1 year ago

A study of 25 graduates of four-year public colleges revealed the mean amount owed by a student in student loans was $55,051. Th

Kitty [74]

Answer:

a

The 90% confidence interval is $52561.13 < \mu < 57540.8$

b

Confidence interval for the population men between <u>$52561.13</u> up to <u>$57540.8</u>

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The sample mean is $\= x = \$ 55,051$

The standard deviation is $\sigma = \$ 7,568$

Given that the confidence level is 90% then the level of confidence is mathematically represented as

$\alpha = 100 -90$

$\alpha = 10\%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table the values is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{ \sigma }{\sqrt{n} }$

substituting values

$E = 1.645 * \frac{ 7568}{ \sqrt{ 25} }$

$E = 2489.9$

The 90% confidence interval is mathematically evaluated as

$\= x -E < \mu < \= x +E$

substituting values

$55051 - 2489.8 < \mu < 55051 + 2489.8$

$52561.13 < \mu < 57540.8$

6 0

2 years ago

8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm

denpristay [2]

Answer:

38

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

3 0

2 years ago