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dimulka [17.4K]
3 years ago
15

Solve the following equation: -3x + 10 = 21 *

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0
X = - 11/3
Hope that helps
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Apply the distributive property to factor out the greatest common factor. 12+20=
Rina8888 [55]

Answer: 12+20 = 12 + 20 = 4(3+5)

Step-by-step explanation:

3 0
3 years ago
An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample
valentina_108 [34]

Answer:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Replacing we got:

\bar X=58.875 represent the mean

s=5.083 represent the sample standard deviation for the sample  

n=8 sample size  

\mu_o =60 represent the value that we want to test

\alpha=0.1 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:  

Null hypothesis:\mu \geq 60  

Alternative hypothesis:\mu < 60  

The statistic would be given by:

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

Replacing the info we got:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0
3 years ago
What is 24.534 rounded to the nearest hundredth
alina1380 [7]
It's just 24.53 because the hundredth place is the 3, but the value after it is not high enough to round it up. Therefore, the answer is 24.53
6 0
3 years ago
Peter bought 2 1/2 pounds of hamburger meat.He is planning to make 1/4 pound hamburgers.How many 1/4 pound hamburgers can he mak
dexar [7]

Answer:

10

Step-by-step explanation:

divide the numbers for a anser

3 0
3 years ago
5s + 7s????????????????
natali 33 [55]

Answer:

12s

Step-by-step explanation:

5s + 7s = (5 + 7) s= 12s

This is your answer

8 0
3 years ago
Read 2 more answers
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