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3 years ago

what is the equation of the line that passes through the points (-2,1) and (1,10)? a) 3x-y=-7 b)3x-y=-5 c)3x-y=5 d)x 3y=-5

1 answer:

Ber [7]3 years ago

8 0

The answer is a.
Substitute (-2,1) and (1,10) into each answer. Only a is correct because you will get -7 from both points.

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Suppose a population has a mean weight of 180 pounds and a standard deviation of 25 pounds. a sample of 100 items is drawn from

Angelina_Jolie [31]

Solution: We are given:

μ=180,σ=25,n=100

Therefore the standard error of the mean is

$\frac{standard deviation}{\sqrt{n}}$

$\frac{25}{\sqrt{100}}$

$2.5$

6 0

3 years ago

A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat c

AveGali [126]

Answer:

So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

Step-by-step explanation:

In this data we have

Mean= u = 18

X= 38

Standard deviation = s= 6

1) We formulate the null and alternate hypothesis as

H0: u = 18 against Ha : u > 18 One tailed test .

2) The significance level alpha = ∝= 0.05 and Z alpha has a value ± 1.645 for one tailed test.

3)The test statistics used is

Z= X- u / s

z= 38-18/6= 3.333

4) The calculated value of z = 3.33 is greater than the z∝ = 1.645

5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.

Then we find the value of z for the given significance value given and the test about to be checked.

Then the test statistic is determined and calculated.

Then both value of z and z alpha re compared. If the test statistics falls in the rejection region reject the null hypothesis and conclude alternate hypothesis is true.

The figure shows that the calulated z value lies outside the given z values

4 0

3 years ago

If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.

leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

$25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2$

so that this expression is actually a difference of squares. We can factorize this to get

$(5^x-3^y)(5^x+3^y)=18$

and given that $5^x-3^y=3$ , we divide both sides by this to get

$5^x+3^y=\dfrac{18}3=\boxed{6}$

7 0

3 years ago

Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms

guapka [62]

an aritmetic sequence increases by the same amount each time (if it decreases, then it increases by a negative number)

the common difference is the number that must be added to a term to get the next term

let's see if it increases by the same amount

-5 to -11 is increase of -6

-11 to -17 is increase of -6

-17 to -23 is increase of -6

-23 to -29 is increase of -6

so it appears to be aritmetic

common difference is -6

-29-6=-35

-35-6=-41

-41-6=-47

the next 3 terms are -35, -41, -47

4 0

3 years ago

Charlie had a -$38.00 balance in his checking account. He deposited $126.00 into the account. What is his new balance?

Marina86 [1]

Answer:

$88

Step-by-step explanation:

-38+126=$88

3 0

3 years ago