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Nuetrik [128]
3 years ago
13

Consider the functions:

Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

The function f(x) was translated right 3 units and up 2 units.

Step-by-step explanation:

F(x)=(2/3)^x

If we move it right for 3 units, we get

f(x)= (2/3)^(x-3)

If we move up 2 units , we get

g(x)= (2/3)^(x-3) +2

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A cell phone company is looking to place a new tower to service 3 cities. In order for it to best service each city, it needs to
AlladinOne [14]
A circle is a collection of points all of which are on the circumference of the circle.  If you use algebra and (x-h)^2 + (y-k)^2 = r^2 and the info contained in the coordinates (x,y) of each city, you can find h, k and r.  Then r is the (equal) distance between each city and the center of the circle, where the new tower will be built.

3 0
2 years ago
A dairy farm uses the somatic cell count (SCC) report on the milk it provides to a processor as one way to monitor the health of
Eva8 [605]

Answer:

t=\frac{25000-210000}{\frac{37500}{\sqrt{5}}}=2.37  

p_v =P(t_{4}>2.37)=0.038  

If we compare the p value and a significance level assumed \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the actual true mean is higher than 210250 at 5% of significance.  

Step-by-step explanation:

Data given and notation

\bar X=250000 represent the sample mean  

s=37500 represent the standard deviation for the sample

n=5 sample size  

\mu_o =210250 represent the value that we want to test  

\alpha=0.1 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the mean is higher than 210250, the system of hypothesis would be:  

Null hypothesis:\mu \leq 210250  

Alternative hypothesis:\mu > 210250  

Compute the test statistic  

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can replace in formula (1) the info given like this:  

t=\frac{25000-210000}{\frac{37500}{\sqrt{5}}}=2.37  

Now we need to find the degrees of freedom for the t distirbution given by:

df=n-1=5-1=4

Conclusion

Since is a one right tailed test the p value would be:  

p_v =P(t_{4}>2.37)=0.038  

If we compare the p value and a significance level assumed \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, and the actual true mean is higher than 210250 at 5% of significance.  

6 0
3 years ago
If the circumference of a circle is 24pi what is the radius of the circle?
Tems11 [23]
12 because 24 is the diameter and the radius is half the diameter
4 0
3 years ago
The length of a rectangle is three times as long as its width. The width of this rectangle is 6 inches smaller than its length.
lisov135 [29]

Answer:

The length is 9in and the width is 3in

The perimeter is 24in and the area is 27in²

Step-by-step explanation:

To start we have to make 2 equations with the information that gave us the problem

l = length

w = width

w = l - 6in

l = 3w

we replace l in the first equation with (3w)

w = (3w) - 6in

w - 3w = -6in

-2w = -6in

w = -6in / (-2)

w = 3in

now we replace the value of w in the second equation

l = 3w

l = 3 (3in)

l = 9in

Now that we have the length and width we can calculate the perimeter and the area with the following formulas

p = perimeter

a = area

p = 2w + 2h

p = 2(3in) + 2(9in)

p = 6in + 18in

p = 24in

a = w * l

a = 3in * 9in

a = 27in²

4 0
2 years ago
Sixteen increased by twice a number is 36 find the number
Marina CMI [18]
16 + 2n= 36

hope this helps . give brainliest 
thanks 
8 0
3 years ago
Read 2 more answers
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