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3 years ago

14

Geometry What is the value of x to the nearest tenth?

1 answer:

Setler [38]3 years ago

5 0

Answer:

x = 9.4

Step-by-step explanation:

The angle bisector divides the sides proportionally:

x/15.4 = 4.7/7.7

x = (15.4)(4.7/7.7) . . . . multiply by 15.4

x = 9.4

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Suppose you drive 75 miles and use 3 gallons of gasoline. At the same ratio, how many miles can you drive with 12 gallons of gas

Annette [7]

Answer:

300 miles

Step-by-step explanation:

just do 3 times 4 you get 12 so you do 4 times 75 and you get 300

8 0

3 years ago

Read 2 more answers

The following results come from two independent random samples taken of two populations.

photoshop1234 [79]

Answer:

$(a)\ \bar x_1 - \bar x_2 = 2.0$

$(b)\ CI =(1.0542,2.9458)$

$(c)\ CI = (0.8730,2.1270)$

Step-by-step explanation:

Given

$n_1 = 60$ $n_2 = 35$

$\bar x_1 = 13.6$ $\bar x_2 = 11.6$

$\sigma_1 = 2.1$ $\sigma_2 = 3$

Solving (a): Point estimate of difference of mean

This is calculated as: $\bar x_1 - \bar x_2$

$\bar x_1 - \bar x_2 = 13.6 - 11.6$

$\bar x_1 - \bar x_2 = 2.0$

Solving (b): 90% confidence interval

We have:

$c = 90\%$

$c = 0.90$

Confidence level is: $1 - \alpha$

$1 - \alpha = c$

$1 - \alpha = 0.90$

$\alpha = 0.10$

Calculate $z_{\alpha/2}$

$z_{\alpha/2} = z_{0.10/2}$

$z_{\alpha/2} = z_{0.05}$

The z score is:

$z_{\alpha/2} = z_{0.05} =1.645$

The endpoints of the confidence level is:

$(\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}$

$2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}$

$2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}$

$2.0 \± 1.645 * \sqrt{0.0735+0.2571}$

$2.0 \± 1.645 * \sqrt{0.3306}$

$2.0 \± 0.9458$

Split

$(2.0 - 0.9458) \to (2.0 + 0.9458)$

$(1.0542) \to (2.9458)$

Hence, the 90% confidence interval is:

$CI =(1.0542,2.9458)$

Solving (c): 95% confidence interval

We have:

$c = 95\%$

$c = 0.95$

Confidence level is: $1 - \alpha$

$1 - \alpha = c$

$1 - \alpha = 0.95$

$\alpha = 0.05$

Calculate $z_{\alpha/2}$

$z_{\alpha/2} = z_{0.05/2}$

$z_{\alpha/2} = z_{0.025}$

The z score is:

$z_{\alpha/2} = z_{0.025} =1.96$

The endpoints of the confidence level is:

$(\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}$

$2.0 \± 1.96 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}$

$2.0 \± 1.96* \sqrt{\frac{4.41}{60}+\frac{9}{35}}$

$2.0 \± 1.96 * \sqrt{0.0735+0.2571}$

$2.0 \± 1.96* \sqrt{0.3306}$

$2.0 \± 1.1270$

Split

$(2.0 - 1.1270) \to (2.0 + 1.1270)$

$(0.8730) \to (2.1270)$

Hence, the 95% confidence interval is:

$CI = (0.8730,2.1270)$

8 0

3 years ago

A group of friends wants to go to the amusement park. They have $203.75 to spend on parking and admission. Parking is $20, and t

Liono4ka [1.6K]

Answer:

5 people can go to the amusement park

Step-by-step explanation:

1. 203.75-20=183.75

2. 183.75 ÷ 36.75=5

3 0

3 years ago

Can anyone answer and offer a simple step by step explanation for finding the volume for this?

Tamiku [17]

Answer:

x^6

Step-by-step explanation:

Volume=w times height times length

Volume=x^2 times x^2 times x^2

x^2+2+2

x^6

4 0

3 years ago

Read 2 more answers

Line r passes through points (8,10) and (2,3). Line s is perpendicular to r. What is the slope of line S?

Zepler [3.9K]

Answer:

$-\dfrac67$

Step-by-step explanation:

slope of r:

$a_r=\dfrac{10-3}{8-2}=\dfrac76$

s is perpendicular to r:

$s\perp r\ \ \implies\ \ a_s\cdot a_r=-1\\\\a_s\cdot\dfrac76=-1\\\\a_s=-\dfrac67$

5 0

3 years ago