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Elza [17]
3 years ago
14

The area of a parallelogram is 513cm² and the height is 19cm. Calculate the base length.

Mathematics
1 answer:
lidiya [134]3 years ago
8 0
The base length is 27 cm.
area of a parallelogram is A=b*h
plug in the known area and height into the formula: 513=19*b
divide off the 19: b=27
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Rachel jogged along a trail that was 1/4 of a mile long. She jogged along the trail 8 times. How many miles did Rachel jog?
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5 0
3 years ago
Consider a left-tailed test, where the p-value is found to be 0.10. If the sample size n for this test is 49, then the t statist
tigry1 [53]

Answer:

df=n-1=49-1=48  

We know that the p value is 0.1, and since is a left tailed test would be given by:

p_v = P(t_{48} < t_{calculated})=0.1

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is t_{calculated}=-1.29944

Step-by-step explanation:

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the true mean is lower than specified valu \mu_o, the system of hypothesis would be:  

Null hypothesis:\mu \geq \mu_o  

Alternative hypothesis:\mu < \mu_o  

Compute the test statistic  

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".  

We can find the degrees of freedom for this test given by:

df=n-1=49-1=48  

We know that the p value is 0.1, and since is a left tailed test would be given by:

p_v = P(t_{48} < t_{calculated})=0.1

And we can find the calculated value using excel or the t table.

If we use the following excel code we got: "=T.INV(0.1,48)"

And the calculated value is t_{calculated}=-1.29944

3 0
2 years ago
Brian wants to build a ramp that leads to a storeroom 5 meters above the ground he wants a ramp to be 10 meters long what should
sveticcg [70]
The angle of elevation is 26.565 (3dp)
let h be the end height of the ramp above
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the angle of elevation is (30)
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6 0
3 years ago
Read 2 more answers
What is the quotient of -8x∧6 over 4x∧-3 ??
Allushta [10]

Answer:

-2x^{9} is the quotient

Step-by-step explanation:

We have two expression -8x^6 and 4x^{-3}

We need to find quotient of this expression using exponent law.

First we write as quotient form,

\Rightarrow -\dfrac{8x^6}{4x^{-3}}

\Rightarrow -2x^{6-(-3)}                        (x^m\div x^n=x^{m-n})

\Rightarrow -2x^{6+3}

\Rightarrow -2x^{9}

Thus, -2x^{9} is the quotient of -8x^6 and 4x^{-3}.

8 0
3 years ago
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