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Nikolay [14]
2 years ago
15

Hector enters a competition to guess how many stuffed animals are in a box. Hector’s guess is 35 stuffed animals. The actual num

ber of stuffed animals is 28. What is the percent error of Hector’s guess?
Mathematics
1 answer:
qwelly [4]2 years ago
5 0

Answer:20%

Step-by-step explanation:Based on the given conditions, formulate:( 35 - 28 ) divided by 35

Calculate the sum or difference: 7/ 35

Cross out the common factor: 1/5

Multiply a number to both the numerator and the denominator: 1/5 x 20/20

Write as a single fraction: 20/5x20

Calculate the product or quotient:20/100

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An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y
Kay [80]

Answer:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

\bar X_{1}=14 represent the mean for sample 1 (younger)

\bar X_{2}=20 represent the mean for sample 2 (older)  

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=31 sample size for the group 2  

n_{2}=31 sample size for the group 2  

t would represent the statistic

System of hypothesis

We want to test if  that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=31+31-2=60  

Replacing the info given we got:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

6 0
2 years ago
11x + 12 = 8x - 9 ... please
Marat540 [252]

Assignment: \bold{\Solve \ Equation: \ 11x+12=8x-9}

<><><><><><><>

Answer: \boxed{\bold{x=-7}}

<><><><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><><><>

[ Step One ] Subtract 12 From Both Sides

\bold{11x+12-12=8x-9-12}

[ Step Two ] Simplify

\bold{11x=8x-21}

[ Step Three ] Subtract 8x From Both Sides

\bold{11x-8x=8x-21-8x}

[ Step Four ] Simplify

\bold{3x=-21}

[ Step Five ] Divide Both Sides By 3

\bold{\frac{3x}{3}=\frac{-21}{3}}

[ Step Six ] Simplify

\bold{x=-7}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

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What is 5 plus 5 the hint is 10
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Answer:

10

Step-by-step explanation:

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Which of the following is a list of equivalent numbers?
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Answer:

C. 12.5,114,125

Step-by-step explanation:

:3:3:3:3::33

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