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3 years ago

What number has 12,24, and 30 as multiples explain how u found out the answer

1 answer:

6 0

Firs find the prime factors:-
12 = 2*2*3
24 = 2*2*2*3
30 = 2*3*5

Picking out the common factors from all three we get

2*3 = 6

Answer is 6.

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The population of gray wolves in Wisconsin increased from 570 in 2007 to 660 in 2014. Find the percent increase in the wolf popu

melamori03 [73]

Answer:

15.78947% increase

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100

7 0

3 years ago

A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m

svet-max [94.6K]

Answer:

Given : The sample mean score is 51.48 .

The standard deviation for the population of test scores is 15.

The nationwide average score on this test is 50.

To Find : Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : $H_0:\mu \leq 50\\H_a:\mu>50$

Formula of z test : $z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64$

Substitute the values

$z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}$

$z =0.789$

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z) = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

5 0

3 years ago

Read 2 more answers

Lines a and b are perpendicular. The equation of line a is y=1/3x+3. What is the equation of line b

kykrilka [37]

Perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
from the graph we see that the y intercept of line b is -4, so the equation of line b is: y=-3x-4

6 0

3 years ago

The perimeter of a ractangle is 28 units what is the value of w

saveliy_v [14]

Answer:

W=5

Perimeter=2(L+W)

2(L+W)=28

2(2W-1+W)=28

2(3W-1)=28

6W=30

W=5

5 0

3 years ago

The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.

Aleks [24]

Answer:

x=42.3m

Step-by-step explanation:

x/47=82.8/92

92x=3891.6= 42.3m is the distance

6 0

3 years ago