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GaryK [48]
3 years ago
9

HELP PLEASE URGENT!!!!

Mathematics
2 answers:
Setler79 [48]3 years ago
4 0
<span>Equations:
g + b + 0 = 1500
g + 0 + r = 750
g + b + r = 2000
============
</span><span>g = 250
b = 1250
r = 500
============
Happy Valentines :)</span>
Nataly [62]3 years ago
4 0
(1)   G + B = 1500
(2)  G + R = 750
(3)  G + B + R = 2000

Rearrange (1) to get B = 1500-G
Replace B in (3) to get G + (1500 - G) + R = 2000
Simplify to get R + 1500 = 2000, therefore R = 500
Insert R-value into (2) to get G = 250
Insert G-value into (1) to get B = 1250
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In order to determine the number of squirrels in a conservation area, a researcher catches, and marks 114 squirrels then release
vodomira [7]

Answer:

456 squirrels

Step-by-step explanation:

We have the following formula:

N = M * C / R

Where "N" is the estimated population size, "M" is the number of individuals already tagged, "C" is the total number of those caught the second time regardless of whether or not they are tagged, and "R" is the total number of tagged recaptured individuals.

Now, replacing we have:

N = 114 * 96/24

N = 456

Therefore, there are approximately 456 squirrels in the conservation area.

5 0
3 years ago
0.003 is 1/10 of ____
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8 0
3 years ago
Joe paid 14.00 for a board game this is 70% off the original price what is the original price?
soldi70 [24.7K]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be x.

x\times \frac{70}{100}=14

x\times \frac{7}{10}=14

Multiply both sides by 10.

7x=140

Divide both sides by 7.

x=20

The original price is 20. Therefore the correct option is B.

6 0
4 years ago
A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0
3 years ago
At cheng’s bike rental cost $40 to rent a bike for seven hours how many dollars does it cost per hour of bike use
Alchen [17]
40$. 7hrs
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X~5.71 $ per hour
3 0
3 years ago
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