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Pavel [41]
4 years ago
10

The scores on a tester normally distributed with a mean of 70 and a standard deviation of 14 what is the score of that is two st

andard deviation’s above the mean
Mathematics
1 answer:
anzhelika [568]4 years ago
8 0

Step-by-step explanation:

70 + 2(14) = 98

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Step-by-step explanation:

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The functions f(x) and g(x) are defined below.
Vilka [71]
So you do g of x first which is root of -4 and then sub that into f of x to get root minus 4 to the power of 4 - 2 root -4 squared + 2 which is the same as (((-4)^1/2)^2) - 4 times -4 + 2 which is the same as -4^2+16 +2 which is the same as 16+16+2 which is 34. Hope this helps :)
8 0
3 years ago
A coin is tossed eight times. How many different outcomes are there?
Viefleur [7K]

The total number of different outcomes of the toss are 256.

<u>Explanation:</u>

Given:

Coin is flipped 8 times.

Number of different outcomes, n = ?

A coin is flipped eight times where each flip comes up either

heads or tails.

Considering the order of the results from each toss does matter.

Each toss has two possibilities  and the number of toss is 8.

Thus, the total outcome of the toss = 2⁸

n = 256

Therefore, total number of different outcomes of the toss are 256.

5 0
3 years ago
Findf '(3), where f(t) = u(t) · v(t), u(3) =1, 2, −2, u'(3) =8, 1, 4,andv(t) =t, t2, t3.
Reika [66]

Answer:

f'(3)=100

Step-by-step explanation:

Given:

f(t)=u(t)\cdot v(t)\\u(3)=\left ( 1,2,-2 \right )\\u'\left ( 3 \right )=\left ( 8,1,4 \right )\\v(t)=\left ( t,t^{2},t^{3} \right )

To find: f'(3)

Solution:

v(t)=\left ( t,t^{2},t^{3} \right )

At t=3;

v(3)=(3,3^{2},3^{3} )=(3,9,27)

Differentiate with respect to t

v'(t)=\left ( 1,2t,3t^{2} \right )

At t=3;

v'(3)=\left ( 1,2(3),3(3)^{2} \right )=\left ( 1,6,27 \right )

Using product rule, differentiate f(t)=u(t)\cdot v(t) with respect to t

f'(t)=u'(t)\cdot v(t)+u(t)\cdot v'(t)

At t=3;

f'(3)=u'(3)\cdot v(3)+u(3)\cdot v'(3)\\=\left ( 8,1,4 \right )\cdot \left ( 3,9,27 \right )+\left ( 1,2,-2 \right )\cdot \left ( 1,6,27 \right )\\=24+9+108+1+12-54\\=100

7 0
4 years ago
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