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Len [333]
3 years ago
14

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

B is an arithmetic sequence because the number that you add or subtract between each number has to match

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Round $78.9356 to the nearest cent
Bad White [126]
$78.90 cents
Hope this helps
7 0
3 years ago
HELP ASAP BRAINLIEST FOR FIRST CORRECT ANSWER In triangle ABC, m∠A=(5x−10)∘, m∠B=(12x)∘, and the exterior angle at C is (16x)∘.
kirill [66]

Answer:

160

Step-by-step explanation:

5x-10+12x=16x

17x-16x=10

x= 10

exterior angle at C = 16x= 16×10 = 160°

5 0
3 years ago
Read 2 more answers
It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele
kow [346]

Answer:

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

Step-by-step explanation:

1) Data given and notation      

\bar X=23500 represent the sample mean  

s=3900 represent the sample standard deviation      

n=100 sample size      

\mu_o =2000 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:      

Null hypothesis:\mu \leq 2000      

Alternative hypothesis:\mu > 2000      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974      

Calculate the P-value      

First we need to calculate the degrees of freedom given by:  

df=n-1=100-1=99  

Since is a one-side upper test the p value would be:      

p_v =P(t_{99}>8.974)=9.43x10^{-15}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.      

8 0
3 years ago
(x+5)(x-5) Multiplying special case polynomials
azamat

Answer:

x^2 - 25 ✔

Step-by-step explanation:

(x+5)(x-5)

x(x-5) +5(x-5)

x^2 - 5x + 5x - 25

x^2 - 25

7 0
3 years ago
rish is sorting bolts for her home repair business. She has an 8-pound bag of bolts. If each kitchen her team repairs requires 1
Reptile [31]
I hope you mean 1/5 when you say 1 5. If that's what you mean, then both, Joshua and Melanie, are correct because, both of their equations are the same. 

Joshua's - <span>8 ÷ 1/5 = 40 (Since we can divide a number by fraction, we use this rule: keep, change flip. When we use that Joshua's equation turns into 8 * 5/1 = 8*5 = 40, same as Melanie's.)</span>
5 0
3 years ago
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