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kramer
3 years ago
13

In an arithmetic sequence, the seventh term is −9 and the nineteenth term is 39.

Mathematics
1 answer:
fomenos3 years ago
6 0

Answer:

d = 4

Step-by-step explanation:

a7 = -9

a19 = 39

We know the formula for an arithmetic sequence is

an = a1+d(n-1)

Using the givens:

a7 = -9 = a1 +d(7-1)

a19 = 39 =a1 +d(19-1)

Subtracting these equations

-9 = a1 +d(6)

39 =a1 +d(18)

------------------------

-48 = 0 -12 d

Divide by -12

4 =d

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Let μ denote the true average radioactivity level(picocuries per liter). The value 5 pCi/L is considered thedividing line betwee
VMariaS [17]

Answer:

H0: μ = 5 versus Ha: μ < 5.

Step-by-step explanation:

Given:

μ = true average radioactivity level(picocuries per liter)

5 pCi/L = dividing line between safe and unsafe water

The recommended test here is to test the null hypothesis, H0: μ = 5 against the alternative hypothesis Ha: μ < 5.

A type I error, is an error where the null hypothesis, H0 is rejected when it is true.

We know type I error can be controlled, so safer option which is to test H0: μ = 5 vs Ha: μ < 5 is recommended.

Here, a type I error involves declaring the water is safe when it is not safe. A test which ensures that this error is highly unlikely is desirable because this is a very serious error. We prefer that the most serious error be a type I error because it can be explicitly controlled.

7 0
3 years ago
The 12 members in Dante's hiking club shared 176 ounces of trail mix equally. How many ounces of trail mix did each member reciv
galina1969 [7]
Each member had to have received 14 and two thirds ounces. When you divide 176 by 12 you get 14.66666 which equals 14 and two thirds 
8 0
4 years ago
Read 2 more answers
PLSSSSS HELP MARKING BRAINLIST QUESTION BELOW
Ivan
The answer is B

We already know the rate of change for function A, 2, to find the rate of change for function B you have to divide the change in Y by the change in X, which gives you 4.
4 0
4 years ago
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Find the zeros of polynomial function.<br> f(x)=x^2-x-90
Fofino [41]

First step is to factor. With a polynomial function in the form ax² + bx + c = f(x), we have to find what factors of term C have a sum of term B.

So with this, we need factors of -90 add up to become -1. Your factors are - 10 and 9.

f(x) = x² + 9x - 10x - 90

Now we group together and pull out GCFs.

f(x) = (x² + 9x) + (10x - 90)

f(x) = x(x² + 9) - 10(x + 9)

f(x) = (x - 10)(x + 9)

Now, set each factor equal to zero.

x - 10 = 0, x + 9 = 0

For the first equation you are going to add 10 to both sides to get x by itself. Subtract 9 from both sides in the second equation for the same reason.

x = 10, x = -9

Your zeros are at x = -9, 10 or at the ordered pairs (-9, 0) and (10, 0).

7 0
3 years ago
Wesley walks at a constant speed from his house to school 1.5 miles away it took him 25 minutes to go to school what fraction re
Firdavs [7]
3/50

You would get that by doing 1.5 divided by 25 to get 0.06

Convert to fraction and get 6/100

Can it be simplified? 

Yep.

Divide both by common factor of 2 

Get your final answer of 3/50

Hope this helped!
8 0
3 years ago
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