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3 years ago

The value of y varies directly with x, and y = −12 when x = 6. Find y when x = −4. A. −8 B. 8 C. 24 D. −24

Mathematics

1 answer:

Burka [1]3 years ago

6 0

Answer:

B. 8

Step-by-step explanation:

The proportion shown is k=-2. You multiply k by the x variable and that gives you 8. (-4 x -2=8)

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Please Help! Look at the picture attached.

-BARSIC- [3]

Answer:

23-x=5

X= 18

that's the answer

3 0

3 years ago

Read 2 more answers

PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST

ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0

3 years ago

Is the following linear, exponential, or neither? 3,6,9,12,15,18...

Bas_tet [7]

Given:

3,6,9,12,15,18...

We need to find the difference.

The difference between 3 and 6 is 6-3 =3.

The difference between 6 and 9 is 9-6 =3.

The difference between 9 and 12 is 12-9 =3.

The difference between 12 and 15 is 15-12 =3.

The difference between 15 and 18 is 18-15 =3.

Recall that linear have equal differences.

We get an equal difference between each value.

The form of the equation is

$y=3x$

Hence the given is linear.

3 0

1 year ago

What is the domain of this function

Talja [164]

Answer:

I think its A

Step-by-step explanation:

8 0

2 years ago

The point A(5.

NeX [460]

The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be

$\rm (x_2 , y_2) = (2x -x _1, 2y - y_1)\\\\(x_2 , y_2) = (2 \times 6 - 5, 2 \times 6- 7)\\\\(x_2 , y_2) = (12-5,12-7)\\\\(x_2 , y_2) = (7, 5)$

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

5 0

1 year ago