The diameter of a circle measures 14ft. What is the circumference of the circle?

4.6(x - 3) = -0.4x + 16.2

kolbaska11 [484]

Hey!

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Steps To Solve:

4.6(x - 3) = -0.4x + 16.2

~Distributive property

4.6x - 13.8 = -0.4x + 16.2

~Add 0.4 to both sides

4.6x - 13.8 + 0.4= -0.4x + 16.2 + 0.4

~Simplify

5x - 13.8 = 16.2

~Add 13.8 to both sides

5x - 13.8 + 13.8 = 16.2 + 13.8

~Simplify

5x = 30

Divide 5 to both sides

5x/5 = 30/5

~Simplify

x = 6

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Answer:

$\large\boxed{x~=~6}$

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Hope This Helped! Good Luck!

8 0

3 years ago

Read 2 more answers

Ali bought 212 pounds of ground turkey at $2.50 per pound and 314 pounds of ground beef at $3.20 per pound.

den301095 [7]

Answer:

Step-by-step explanation:

the total cost for this question is $12.10.

let me know if this helped.

6 0

2 years ago

A medical researcher wondered if there is a significant difference between the mean birth weight of boy and girl babies. Random

Yuliya22 [10]

Answer:

b) independent samples t-test

$t=\frac{(5.92 -5.74)-(0)}{\sqrt{\frac{1.88^2}{5}}+\frac{1.81^2}{5}}=0.154$

$p_v =2*P(t_{8}>0.154) =0.881$

So with the p value obtained and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (boys) is NOT significantly different than the mean for the group 2 (Girls).

Step-by-step explanation:

The system of hypothesis on this case are:

Null hypothesis: $\mu_1 = \mu_2$

Alternative hypothesis: $\mu_1 \neq \mu_2$

Or equivalently:

Null hypothesis: $\mu_1 - \mu_2 = 0$

Alternative hypothesis: $\mu_1 -\mu_2\neq 0$

Our notation on this case :

$n_1 =5$ represent the sample size for group 1

$n_2 =5$ represent the sample size for group 2

We can calculate the mean and deviation for eaach group with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X_1 =5.92$ represent the sample mean for the group 1

$\bar X_2 =5.74$ represent the sample mean for the group 2

$s_1=1.88$ represent the sample standard deviation for group 1

$s_2=1.81$ represent the sample standard deviation for group 2

If we see the alternative hypothesis we see that we are conducting a bilateral test and with independnet samples t test.

b) independent samples t-test

The statistic is given by this formula:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{\sqrt{\frac{s^2_1}{n_1}}+\frac{S^2_2}{n_2}}$

And now we can calculate the statistic:

$t=\frac{(5.92 -5.74)-(0)}{\sqrt{\frac{1.88^2}{5}}+\frac{1.81^2}{5}}=0.154$

The degrees of freedom are given by:

$df=5+5-2=8$

And now we can calculate the p value using the altenative hypothesis:

$p_v =2*P(t_{8}>0.154) =0.881$

So with the p value obtained and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (boys) is NOT significantly different than the mean for the group 2 (Girls).

7 0

3 years ago

A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th

lys-0071 [83]

Answer:
let x=rate of the rowing team in still water
x+4=rate of the rowing team with current
x-4=rate of the rowing team against current
travel time=distance/rate
..
90%2F%28x%2B4%29=10%2F%28x-4%29
90x-360=10x+40
80x=400
x=5  rate of the rowing team in still water=5 mph

4 0

3 years ago

Y+7=-2(x-1)<br><br><br> hurry plz

zhannawk [14.2K]

Answer:

y=-2x-5

Step-by-step explanation:

First of all, you have to distribute -2 to (x-1) to get to this equation y+7=-2x+2. Then, you subtract 7 on both sides to get the slope-intercept of y = -2x - 5.

8 0

3 years ago