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leva [86]
3 years ago
7

Solve the inequality of -4m≥-4

Mathematics
2 answers:
Dmitrij [34]3 years ago
4 0
X less than or equal to 1

is your answer
tatuchka [14]3 years ago
3 0

Answer:

m≤1

Explanation:

Step 1: Divide both sides by -4.

-4m / -4 ≥ -4 / -4

m≤1

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64, –48, 36, –27, ...
frozen [14]
The only formula that can be used to describe the sequence is definitely the third one f(x + 1) = -3/4 f(x). So count like that64* -\frac{3}{4}  = -48
48* -\frac{3}{4} = 36 and so on. You can check others by yourself to check if I'm right or not.
4 0
3 years ago
A certain 90-mile trip took 2 hours. Exactly 1/3 of the distance traveled was by rail and this part of the trip took 1/5 of the
antiseptic1488 [7]

The average rate, in miles per hour, of the rail portion of the trip is; D: 75

<h3>How to calculate the average speed?</h3>

Since exactly 1/3 of the distance travelled was by rail, then we can say that;

(1/3) * (90) = 30 miles

We are told that part of the trip took 1/5 of the travel time. Thus;

Time it takes to travel that distance is:

(1/5) * (2) = 2/5 of an hour

Average rate is;

30/(2/5) = 150/2 = 75 mph

Read more about Average speed at; brainly.com/question/4931057

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7 0
2 years ago
A child attempts to open a five-disc
adelina 88 [10]

Answer:

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5 0
3 years ago
Read 2 more answers
Can you help me find x/5+7=16 Because I don’t know what it is.
kramer

Answer:  x=45

STEPS:

1

Add the same term to both sides of the equation

2

Simplify

3

Multiply all terms by the same value to eliminate fraction denominators

4

Simplify

5 0
3 years ago
Read 2 more answers
According to sleep researchers, if you are between the ages of 12 and 18 years old, you need 9 hours of sleep to be fully functi
Alexxx [7]

Answer:

d) H0:μ=9 and Ha:μ<9

t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77    

p_v =P(t_{(27)}  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is significantly lower than 9 hours at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=7.9 represent the sample mean

s=2.1 represent the sample standard deviation

n=28 sample size  

\mu_o =9 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 check if the students at this high school are getting too little sleep, the system of hypothesis would be:  

Null hypothesis:\mu \geq 68  

Alternative hypothesis:\mu < 68  

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".  

The best option for this case would be:

d) H0:μ=9 and Ha:μ<9

Calculate the statistic

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

t=\frac{7.9-9}{\frac{2.1}{\sqrt{28}}}=-2.77    

P-value

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

df=n-1=28-1=27  

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

p_v =P(t_{(27)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, we can conclude that the true mean is significantly lower than 9 hours at 5% of signficance.  

8 0
3 years ago
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