Ahmad drove 360miles in 5hours.<br> At the same rate, how long would it take him to drive 864miles?

What is the value of x in the equation 7k-5x=2/3x(ax-6)

olga55 [171]

Firstly, you have to isolate the X on one side if the equation by doing that you have to divide the numbers that are on the same side of the equation as part of the X.

4 0

3 years ago

Which equation has the same solutions as 2x^2+16x-10=0?

Gala2k [10]

X=3/8, and what are the choices?

4 0

4 years ago

2. One angle of a triangle measures 10 degrees more than the second. The measure of the third angle is twice the sum of the meas

Yakvenalex [24]

Answer:

first angle = 25 degrees

Second angle = 35 degrees

Third side = 120/degrees

Step-by-step explanation:

Let the size of the second angle be x degrees.

One angle of a triangle measures 10 degrees more than the second. This means that the size of the first angle is ( x+ 10 )degrees.

The measure of the third angle is twice the sum of the measures of the first two angles. This means that The third angle = 2( first angle + second angle). So the size of each angle is

First angle (x + 10) degrees

Second angle = x degrees

Third angle = 2(x + 10 + x) = (4x + 20) degrees

Sum of angles in a triangle = 180 degrees. Therefore, x + 10 + x + 4x + 20 = 180 degrees 6x + 30 = 180

6x = 180 - 30 = 150

x = 150/6 = 25 degrees

First angle = x + 10 = 25 +10 = 35

Third angle = 4x + 20 = 4 × 25 + 20

= 100+ 20 = 120 degrees

Hope this helps

5 0

3 years ago

Read 2 more answers

Independent random samples of voters from two voting districts, G and H, were selected to investigate the proportion of all vote

kolbaska11 [484]

Answer:

$0.13 \leq p_G - p_H \leq 0.47$

And since the lower value for the confidence interval of the difference is higher than 0 we can conclude that the proportion of voters who favor a proposal in district G is significantly higher than the proportion for the district H and the best solution for this case is:

C. It is likely that more voters in district G favor the proposal than in district H, because all values in the interval are positive.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_G$ represent the real population proportion for district G

$\hat p_G$ represent the estimated proportion for district G

$n_B$ is the sample size required for district G

$p_H$ represent the real population proportion for district H

$\hat p_H$ represent the estimated proportion for district H

$n_H$ is the sample size required for district H

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_G -\hat p_H) \pm z_{\alpha/2} \sqrt{\frac{\hat p_G(1-\hat p_G)}{n_G} +\frac{\hat p_H (1-\hat p_H)}{n_H}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The confidence interval for this case is given by:

$0.13 \leq p_G -p_H \leq 0.47$

And since the lower value for the confidence interval of the difference is higher than 0 we can conclude that the proportion of voters who favor a proposal in district G is significantly higher than the proportion for the district H and the best solution for this case is:

C. It is likely that more voters in district G favor the proposal than in district H, because all values in the interval are positive.

4 0

4 years ago

Which of the following equations Are a linear function.

svetlana [45]

Answer:A IS THE LINEAR FUNCTION

Step-by-step explanation: NO NEED FOR EXPLANATION

6 0

3 years ago

Ahmad drove 360miles in 5hours. At the same rate, how long would it take him to drive 864miles?