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3 years ago

Simplify 2^3 + 6^1 =

Mathematics

2 answers:

maxonik [38]3 years ago

6 0

Answer:

Step-by-step explanation:

2^3=8

6^1=6

8+6=14

PIT_PIT [208]3 years ago

4 0

Answer:

2^3+6^1

8+6

Step-by-step explanation:

2^3 can be expanded to 2x2x2 which equals 8

6^1 can be expanded to 6x1 which is 6

2^3+6^1 can be simplified to to 8+6

8+6 is 14

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16-5(3t-4)=8(-2t+11) How to Solve

Hunter-Best [27]

16 - 5(3t - 4) = 8(-2t + 11) use distributive property: a(b + c) = ab + ac

16 - (5)(3t) - (5)(-4) = (8)(-2t) + (8)(11)

16 - 15t + 20 = -16t + 88

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3 years ago

A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

disa [49]

Answer:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X 5 6 7 8 9 10

P(X) 0.05 0.15 0.33 0.28 0.12 0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

5 0

3 years ago

Read 2 more answers

What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?

chubhunter [2.5K]

Answer:

22 meters per second

Step-by-step explanation:

If a car is going 374 meters in 17 seconds then you divide 374/17 claiming that the car is going 22 meters every second.

7 0

2 years ago