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3 years ago

Answer the question to become the brainliest

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

Answer:

y = - 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = - 2 + c ⇒ c = 7 + 2 = 9

y = - 2x + 9 ← equation of line

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A random sample of 16 statistics examinations was taken. The average sample score was 76.2 with a sample variance of 144. The 99

dlinn [17]

99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

<h3>What is the margin of error in statistics?</h3>

The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

The interval will be calculated as below:-

Confidence interval = mean +/- margin of error (E)

mean = 76.2

variance = 144

sd = sqrt(variance) = sqrt(144) = 12

n = 16

Degree of freedom (df) = n - 1 = 16- 1 = 15

Confidence level (C) = 99% = 0.99

Significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 15 df and 1% significance level is 2.95

The margin of error will be:-

E = t×sd/√n = 2.95 × 12/√16 = 8.85

The interval will be:-

Lower limit = mean - E = 76.2 - 8.85 = 67.35

Upper limit = mean + E = 76.2 + 8.85 = 85.05

Therefore, the 99% confidence interval for the population average examination score is between a lower limit of 67.35 and an upper limit of 85.05. The correct option is C.

To know more about margin of error follow

brainly.com/question/24289590

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4 0

2 years ago

[EXTENDED RESPONSE SHOW ALL WORK.]

Lapatulllka [165]

A.) the greatest amount of boxes would probably be 8
B.) the amount of cars would be 5 and the airplanes would be 3

4 0

3 years ago

A simple impact crater on the moon has a diameter of 15 kilometers. a complex impact crater has a radius of 30 kilometers. how m

timurjin [86]

The general equation for computing the circumference of a circle is $C=\pi d$ , where C is the circumference, and d is the diameter. (You might also see the equation as $C=2 \pi r$ where r is the radius, because $d=2r$ )

Computing the circumferences of the two circles, we get:
$C_{d=15}=\pi (15)=15\pi$
$C_{d=30}=\pi (30)=30\pi$ .

To calculate the ratio of two numbers, we can divide one by the other. You can look at this as "How many times does the denominator fit in the numerator?"
$\frac{C_{d=30}}{C_{d=15}}=\frac{30\pi}{15\pi}=2$
So the circumference of the complex impact crater is 2 times greater than the circumference of the simple impact crater.

7 0

4 years ago

6. <br> Find the value of y. <br> 160° <br> 60° <br> 50°

prohojiy [21]

Answer:

where is the figure

Step-by-step explanation:

u should upload the figure too

6 0

3 years ago

Which equation represents a line that has a slope of 1/3 and passes through point (–2, 1)?

Yuliya22 [10]

Answer:

The equation would be y - 1 = 1/3(x + 2)

Step-by-step explanation:

In order to find this, we simply plug the values we have into point slope form.

y - y1 = m(x - x1)

y - 1 = 1/3(x - -2)

y - 1 = 1/3(x + 2)

6 0

3 years ago