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2 years ago

Marty was renting a boat and wanted to get the best plan. Rental plan A charges a fee of

Mathematics

2 answers:

harina [27]2 years ago

6 0

The system of equations that represent the situation are as follows;

C = $50 + $25h

C = $10 + $35h.

According to the question;

Mary was trying to rent a boat and wanted to get the best plan.

Let C = Charged fees

and h = hours of rental

For Plan A:

Rental plan A charges a fee of
$50 plus $25 per hour.

C = $50 + $25h

For Plan B:

Plan B charges a fee of $10 plus $35 per hour.

C = $10 + $35h.

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Two shooters, Rodney and Philip, practice at a shooting range. They fire rounds each at separate targets. The targets are mark

Sedaia [141]

Complete Question

Answer:

$SE = 0.66}$

$-3.29 < \mu_1 - \mu_2 < -0.70$

Step-by-step explanation:

From the question we are told that

The sample size is n = 60

The first sample mean is $\= x _1 = 8$

The second sample mean is $\= x _2 = 10$

The first variance is $v_1 = 0.25$

The first variance is $v_2 = 0.55$

Given that the confidence level is 95% then the level of significance is 5% = 0.05

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the first standard deviation is

$\sigma_1 = \sqrt{v_1}$

=> $\sigma_1 = \sqrt{0.25}$

=> $\sigma_1 = 0.5$

Generally the second standard deviation is

$\sigma_2 = \sqrt{v_2}$

=> $\sigma_2 = \sqrt{0.55}$

=> $\sigma_2 = 0.742$

Generally the first standard error is

$SE_1 = \frac{\sigma_1}{\sqrt{n} }$

$SE_1 = \frac{0.5}{\sqrt{60} }$

$SE_1 = 0.06$

Generally the second standard error is

$SE_2 = \frac{\sigma_2}{\sqrt{n} }$

$SE_2 = \frac{0.742}{\sqrt{60} }$

$SE_2 = 0.09$

Generally the standard error of the difference between their mean scores is mathematically represented as

$SE = \sqrt{SE_1^2 + SE_2^2 }$

=> $SE = \sqrt{0.06^2 +0.09^2 }$

=> $SE = 0.66}$

Generally 95% confidence interval is mathematically represented as

$(\= x_1 -\= x_2) -(Z_{\frac{\alpha }{2} } * SE) < \mu_1 - \mu_2 < (\= x_1 -\= x_2) +(Z_{\frac{\alpha }{2} } * SE)$

=> $(8 -10) -(1.96 * 0.66) < \mu_1 - \mu_2 < (8-10) +(Z_{\frac{\alpha }{2} } * 0.66)$

=> $-3.29 < \mu_1 - \mu_2 < -0.70$

5 0

3 years ago

PLZ HELP I WILL MAKE YOU BRAINLIEST NO FAKE LINKS

madreJ [45]

Answer:

1/30 of an hour

Step-by-step explanation:

3 0

2 years ago

Identify the pair of figures in which the second figure is a translation of the first figure

Nadya [2.5K]

Answer:

The first pair of figures would be a translation.

Step-by-step explanation:

A translation is a transformation that involves the shift or slide of a figure in the coordinate plane. This movement will only be either horizontal, vertical or a combination of both. The second and third set of figures given include not only a shift, but a reflection and rotation as well. The only set of figures that has been moved horizontally and/or vertically is the first set.

8 0

3 years ago

You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. The carpet is sold in square yards. Ho

FromTheMoon [43]

Answer:

yards of carpet you need: 4*10/3=40/3=13.3333 yd^2

Step-by-step explanation:

convert feet to yard:

1 yard=3 feet so

12 feet=4 yards

10 feet=10/3 yard=3.33333 yard

yards of carpet you need: 4*10/3=40/3=13.3333 yd^2

3 0

3 years ago

What is the length of the altitude of an equilateral<br> triangle whose side has a length of 8?

Ronch [10]

Using Pythagorean theory the square of the hypotenuse minus the square of the base equals the square of the other side (altitude).

So 8*8=64, 4*4=16, 64–16=48 so the altitude of the triangle is the √48.

4 0

2 years ago