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FinnZ [79.3K]
2 years ago
7

Find four consecutive integers such that twice the sum of the first and third is

Mathematics
1 answer:
disa [49]2 years ago
6 0

Answer:

Hi,Can You answer mine too please I really need the answer because I have to pass it tomorrow morning at my 1st class:(can you please check my question I'll mark you BRAINLIEST:)I hope you can help me:)

Step-by-step explanation:

about your question I'll just put it in the comment section:)

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Using traditional methods, it takes 10.1 hours to receive a basic driving license. A new license training method using Computer
Law Incorporation [45]

Answer:

We need to conduct a hypothesis in order to check if the technique performs differently than the traditional method, the system of hypothesis would be:  

Null hypothesis:\mu =10.1  

Alternative hypothesis:\mu \neq 10.1

t=\frac{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990    

p_v =2*P(t_{(11)}>0.990)=0.343    

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL  reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=10.5 represent the sample mean

s=1.4 represent the sample standard deviation

n=12 sample size  

\mu_o =10.1 represent the value that we want to test

\alpha=0.1 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 check if the technique performs differently than the traditional method, the system of hypothesis would be:  

Null hypothesis:\mu =10.1  

Alternative hypothesis:\mu \neq 10.1  

If we analyze the size for the sample is < 30 and we don't know the population deviation so 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{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=12-1=11  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(11)}>0.990)=0.343  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL  reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.  

7 0
3 years ago
Aliyah was counting her steps. It took her 1,317 steps to walk to the store, 561 steps to get to the park, and another 259 to ma
trapecia [35]

Answer:

Aliyah will take a total of 4274 steps.

Step-by-step explanation:

Given:

Number of steps from home to store = 1317 steps

Number of steps from store to park = 561 steps

Number of steps from park to friends house = 259 steps

So now we will find the Total number of steps from home to friends house.

Total number of steps from home to friends house can be calculated by adding  Number of steps from home to store and Number of steps from store to park and Number of steps from park to friends house.

framing in equation form we get;

Total number of steps from home to friends house = 1317+561+259 = 2137\ steps

Is same route is followed to home we can say that;

Total number of steps from friends house to home = 2137 steps.

So Total number of steps she will take next day will be equal to Total number of steps from home to friends house plus Total number of steps from friends house to home.

framing in equation form we get;

Total number of steps she will take next day = 2137 +2137 = 4274 steps

Hence Aliyah will take a total of 4274 steps.

3 0
3 years ago
Someone help me pls
koban [17]

Answer:

ydyysyescdcvd dvvshdhdhxxbxbxhxhbxhhxxbhxhxbxbgbcbcbbchchchchchchchchhchchcbcbcbcbchcjcj

6 0
2 years ago
The base area of a square-based prism is 25 ft squared. One of the lateral faces of the prism is 30 ft squared. What is the surf
telo118 [61]

Answer:

  • 170 ft²

Step-by-step explanation:

Surface area = 4*lateral faces + 2*bases

  • A = 4*30 + 2*25 = 170 ft²
7 0
3 years ago
What is the gcf of 24a^3c and 3a?
Archy [21]
24a^3c = 3a(8a^2c)

3a = 3a(1)

\text {GCF = }3a
6 0
3 years ago
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