What's the equation of a line that passes through points (–1, –5) and (1, 3)?

Mathematics

1 answer:

erastova [34]2 years ago

4 0

Answer:

y=4x-1

Step-by-step explanation:

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The perimeter of the regular polygon shown is 18 cm

kirill115 [55]

A polygon has 5 sides you can find the length of one side by dividing the total perimeter of 18 by the number of sides of 5. giving you 3.6

4 0

3 years ago

This is really easy i just dont get it

boyakko [2]

Answer:

x=1

Step-by-step explanation:

We wanna have the same amount on both sides

There are 3 circles on the left and 7 circles on the right. There are also 4 triangles. Turn into numbers...

4x+3=7

4x=7-3

x=1

We can check by substituting one

7=7

7 0

3 years ago

The number of hours spent per week on household chores by all adults has a mean of 28 hours and a standard deviation of 7 hours.

Alchen [17]

Answer:

Probability that the mean hours spent per week on household chores by a sample of 49 adults will be more than 26.75 is 0.89435.

Step-by-step explanation:

We are given that the number of hours spent per week on household chores by all adults has a mean of 28 hours and a standard deviation of 7 hours.

Also, sample of 49 adults is given.

Let X = number of hours spent per week on household chores

So, assuming data follows normal distribution; X ~ N( $\mu=28,\sigma^{2}=7^{2}$ )

The z score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = mean hours = 28

$\sigma$ = standard deviation = 7 hours

n = sample of adults = 49

Let $\bar X$ = sample mean hours spent per week on household chores

So, probability that the mean hours spent per week on household chores by a sample of 49 adults will be more than 26.75 is given by =P( $\bar X$ > 26.75 hours)

P( $\bar X$ > 26.75 hours) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{26.75-28}{\frac{7}{\sqrt{49} } }$ ) = P(Z > -1.25) = P(Z < 1.25)