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2 years ago

Find the value of x that solves the system shown below. y = 5x 2x - y = 18

Mathematics

1 answer:

cestrela7 [59]2 years ago

7 0

Since 5x is equal to y.we can write 5x instead of y in the equation.and then solve the equation

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A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98%

Luden [163]

Answer:

a) z = 2.327

b) The margin of error is of 0.065.

c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 300, \pi = \frac{112}{300} = 0.3733$

a) 98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $z = 2.327$ is the critical value.

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

So, applying to this question:

$M = 2.327\sqrt{\frac{0.3733(1-0.3733)}{300}} = 0.065$

The margin of error is of 0.065.

c) Find confidence interval for the problem.

$\pi - M = 0.3733 - 0.065 = 0.3083$

$\pi + M = 0.3733 + 0.065 = 0.4383$

The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

3 0

3 years ago

Interest rates of 5%,6%,8%, earned on investments of $13,000,$12,000,$4,000. Calculate total amount of interest earned

Mariana [72]

$13,000*0.05+12,000*0.06+4,000*0.08=1,690.00$

7 0

3 years ago

A marketing firm for Cobra Auto Security Systems mailed out a survey to 35% of the households in New York City, Washington DC, a

san4es73 [151]

Your answer would be B.

7 0

3 years ago

I need help asap!! <br> if p= -1, 5 Rx axis (P)

Evgesh-ka [11]

Answer:

P'(7, 5)

Step-by-step explanation:

Rule for the transformation of a point $R_{x=1}(P)$ defines,

Reflection of a point P(x, y) about a line, x = 1 which is parallel to y-axis.

Line x = 1 works like a mirror so the distance between the line and the image point will be equal to the distance between the line and the original point.

Distance between the line and a point (-1, 5) = 4

Therefore, distance between the line and the image point = 4

Coordinates of the image point will be,

P'(3, 5)

7 0

2 years ago

Martin's test scores are 84, 72, 94, 83, and 61. What is the range of the test scores?

sammy [17]

Answer:

33.

Step-by-step explanation:

In order to find range, you must subtract the largest amount given by the smallest amount. In this case, it would be 94-61=33.

5 0

2 years ago