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4 years ago

Select two fractions equivalent to 3/5

Mathematics

2 answers:

sasho [114]4 years ago

3 0

Answer:

6/10

And 9/15

Step-by-step explanation:

svetoff [14.1K]4 years ago

3 0

Two could be 6/10 and 9/15

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The manager of the quality department for a tire manufacturing company wants to study the average tensile strength of rubber use

Alika [10]

Answer:

$p_v =P(z>z_{calc})=0.067$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis at 10% of significance.

So then the answer would be

a. true

Step-by-step explanation:

Data given and notation

$\bar X$ represent the sample mean

$\sigma$ represent the population standard deviation

$n$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

z 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 less or equal than 800 for the null hypothesis:

Null hypothesis: $\mu \leq 800$

Alternative hypothesis: $\mu > 800$

The z statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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) and we assume that she got a calculated value $z_{calc}$

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>z_{calc})=0.067$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis at 10% of significance.

So then the answer would be

a. true

3 0

4 years ago

Dwayne’s garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If

zhenek [66]

Answer: Longest side = 19 ft

Explanation:

We are given a triangular shaped with two equal sides.

Let length of equal side be x ft

Third side is 4 ft longer than equal side.

Third side = (x+4) ft

Three sides of triangular garden are x, x and x+4.

The perimeter of triangular garden is 49 ft.

Perimeter of triangle = Sum of all three sides

Perimeter of triangle = 49 ft

x+x+x+4=49

3x=49-4

3x=45

x=15 ft

Longest side = x+4 => 15+4

Longest side = 19 ft

3 0

3 years ago

Read 2 more answers

Divide 28 of soda into two groups so the ratio is 3 to 4

Musya8 [376]

Answer:Total units would be: 3+4 = 7. value of 1 unit = 28/7 = 4. ratio would be 3(4) & 4(4) = 12 & 16

Step-by-step explanation:

6 0

3 years ago

²log(x+2)+²log(x-2)≤²log5

AnnyKZ [126]

I believe you meant to write
$log_{2}(x+2) + log_{2}(x-2) \leq log_{2}(5)$ ?
If that's the case I'll solve the one I provided but I'll drop the base 2 to type it faster but you need to put it always!
Remember: log a + log b = log (a*b)
So log (x+2) + log (x-2) = log [(x+2)*(x-2)] = log (x^2 - 4)
Now back to the inequality:
log (x^2 - 4) ≤ log 5
Raise both sides as powers of 2 ( Since it's the base of your log)
Now,
x^2 - 4 ≤ 5
Add 4 both sides:
x^2 ≤ 9
Square root both sides
x ≤ +3 or x ≤ -3
Reject the -3 solution as it makes both (x + 2) and (x - 2) negative and a log can never have a negative value inside its brackets.
So x ≤ 3 But can never be less than 2 as well for the same previous reason.
Hope that helped.

6 0

4 years ago

Can someone help me with this math equation: f'(x)=-3x^2 +18x-10

12345 [234]

Answer:

the vertex is at (3,17)

it opens downward

the axis of symetry is x=3

Step-by-step explanation:

let me know if you need more info than that.

Hope this helps! :)

5 0

3 years ago