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SashulF [63]
1 year ago
10

3\sqrt{3} )^{2} +5^{2}" alt="\sqrt({3\sqrt{3} )^{2} +5^{2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Triss [41]1 year ago
8 0

Answer:

<u>2√13</u>

Step-by-step explanation:

⇒ √(3√3)² + 5²

⇒ √27 + 25

⇒ √52

⇒ <u>2√13</u>

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company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26
podryga [215]

Answer:

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

p_v =P(t_{(49)}  

If we compare the p value and the significance level assumed \alpha=0.05 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 height of men actually its significant lower than 26 so then the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=25.02 represent the sample mean

s=4.83 represent the sample standard deviation

n=50 sample size  

\mu_o =26 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 mean is at least 26 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 26  

Alternative hypothesis:\mu < 26  

If we analyze the size for the sample is > 30 but 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{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

P-value

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

df=n-1=50-1=49  

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

p_v =P(t_{(49)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 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 height of men actually its significant lower than 26 so then the specification is satisfied.

3 0
3 years ago
A triangle is formed with side lengths of 24 centimeters, 26 centimeters, and 10 centimeters. Is the triangle a right triangle?
storchak [24]

Answer:

A)

Step-by-step explanation:

676=676

8 0
2 years ago
How to find function definition area
insens350 [35]

Answer:Definition area"? Do you mean the "natural domain" of the function- the region in which the formula is defined? In order that a number have a square root that number must be non-zero.

Step-by-step explanation:Here, we must have x−1x≥0.

If x is positive, multiplying both sides by x we have x2−1=(x−1)(x+1)≥0. In order for that to be true, both x- 1 and x+ 1 must have the same sign: either x-1> 0 and x+ 1> 0 or x- 1< 0 and x+ 1< 0. The first pair of inequalities is true for x> 1 and the second for x< -1. Since "x is positive", we must have x> 1.

If x is negative, multiplying both sides by x we have x2−1=(x−1)(x+1)≥0. In order for that to be true, x- 1 and x+ 1 must have opposite signs: x+ 1> 0 and x- 1< 0 or x- 1<0 and x- 1> 0. The first pair is true for −1≤0≤1. The second pair are never both true. Since "x is negative" we must have −1≤x≤0.

Of course, we also cannot divide by 0 so x= 0 is not in the domain. The domain is the union of the two separate sets:{x|−1≤x<0}∪{x|x>1}.

Hope That Helps!

8 0
3 years ago
Can you give me the correct answers for the questions unanswered in the picture.
enyata [817]
The second one is 35 and the 3rd is 6:7 ratio
7 0
3 years ago
Read 2 more answers
PLZ HELP ME I HAVE 193 POINTS MORE IF YOU ANSWER CORRECTLY DON'T SCAM ME
Sonja [21]

Answer:

1. b.(03)

2. A.(6,12)

3. C.(10,-1)

4. (-9,2)

Please mark me BrainIIest

Step-by-step explanation:

1.I will solve your system by substitution.

−x+2y=6;6y=x+18

Step: Solve−x+2y=6for x:

−x+2y+−2y=6+−2y(Add -2y to both sides)

−x=−2y+6

\frac{-x}{-1} =\frac{-2y}{-1} Divide by -1

x=2y−6\

Well I did this problem differently I substitute

Step: Substitute2y−6for x in6y=x+18:

6y=x+18

6y=2y−6+18

6y=2y+12

6y+−2y=2y+12+−2y

4y=12

\frac{4y}{4} =\frac{12}{4}

y=3

Step: Substitute3 for y in x=2y−6:

x=2y−6

x=(2)(3)−6

x=0

Your final answer will be x=0 and y=3

3 0
3 years ago
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