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3 years ago

The lodge at the Three Lakes Resort is offering the following two options for a holiday weekend.

1 answer:

8 0

X - the cost of one night´s lodging
y - the cost of a meal
3 x + 6 y = 132
3 x + 2 y = 109 / * (-1)
-----------------------------
3 x + 6 y = 132
-3 x - 2 y = - 109
-----------------------
4 y = 23
y = 5.75
3 x + 34.50 = 132
3 x = 97.50
x = 97.50 : 3
x = $32.50
The cost of one night´s lodging is $32.50.

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As a follow-up to a report on gas consumption, a consumer group conducted a study of SUV owners to estimate the mean mileage f

kondor19780726 [428]

Answer:

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

Step-by-step explanation:

Our sample size is 96.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 96-1 = 95$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 95 and 0.025 in the t-distribution table, we have $T = 1.9855$ .

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{5.6}{\sqrt{96}} = 0.57$

Now, we multiply T and s

$M = T*s = 1.9855*0.57 = 1.31$

For the lower end of the interval, we subtract the mean by M. So $19.6 - 1.31 = 18.29$

For the upper end of the interval, we add the mean to M. So $19.6 + 1.31 = 20.91$

The 95% confidence interval estimate for the mean highway mileage for SUVs is (18.29mpg, 20.91mpg).

8 0

3 years ago

4(4x+1) = 3x-4(6-x) + 4

brilliants [131]

the answer is -2.2.

hope it helped

8 0

3 years ago

Read 2 more answers

i used the answer key to get my answer and checked it with my dumb useless teacher and it’s right but, he won’t tell me how to g

gizmo_the_mogwai [7]

You multiply it with the same number you use for the denominator.
in this case 3/4 and 7/10
you find the LCM of the denominator is 20
so for 4 to become 20 you multiply by 5 then for the numerator 3 also multiply by 5, so you get 15/20
its the same also with 7/10, you multiply both the numerator and the denominator by 2 and get 14/20
hope it help... :)

7 0

3 years ago

According to the food label on a box cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the bo

Inessa [10]

Answer:

1/128 kilograms.

Step-by-step explanation:

First, multiply 16 and 4 to get 64. Since the weight of the box is 1/2 (or 0.5), so we have each cookie's weight at 1/128. Please mark this "brainliest" (the crown) if you like this answer!

also i am 100% sure its the answer i got this answer right in my test!

8 0

2 years ago

How to put -3x(4-6x) in distributive property

Rashid [163]

Answer:

-12x+18x²

Step-by-step explanation:

Given: $-3x(4-6x)$

Distributive property of multiplication under which a number is multiplied by the sum of two number, the first number can be distributed to both of those number.

∴ $-3x(4-6x)$

solving it by using distributive property

= $(-3x\times 4)-(-3x\times 6x)$

= $-(12x) + 18x^{2}$

Opening parenthesis

= $-12x+18x^{2}$

Hence, -12x+18 $x^{2}$ is the result after using distributive property.

3 0

3 years ago