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4 years ago

What is the height of the following triangle if the area is 60 square meters? Do not round your answer.

Mathematics

1 answer:

olga nikolaevna [1]4 years ago

5 0

Answer: Height = 8 m

Step-by-step explanation: We have to find h...

We're given two values

A = 60

B = 15

60 is equal to 1/2 x 15

Solve for h:

h = 60 / (1/2 x 15)

h = 60 divided by 7.5

h = 8

I hope this helps!

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I need a step by step instruction please

Alika [10]

Answer: $x=52$

Step-by-step explanation:

$x-45+45=7+45\\x=52$

3 0

2 years ago

A random sample of 20 students yielded a mean of ¯x = 72 and a variance of s2 = 16 for scores on a college placement test in mat

Helen [10]

Answer:

The 98% confidence interval for the variance in the pounds of impurities would be $8.400 \leq \sigma^2 \leq 39.827$ .

Step-by-step explanation:

1) Data given and notation

$s^2 =16$ represent the sample variance

s=4 represent the sample standard deviation

$\bar x$ represent the sample mean

n=20 the sample size

Confidence=98% or 0.98

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.01,19)" "=CHISQ.INV(0.99,19)". so for this case the critical values are:

$\chi^2_{\alpha/2}=36.191$

$\chi^2_{1- \alpha/2}=7.633$

And replacing into the formula for the interval we got:

$\frac{(19)(16)}{36.191} \leq \sigma^2 \leq \frac{(19)(16)}{7.633}$

$8.400 \leq \sigma^2 \leq 39.827$

So the 98% confidence interval for the variance in the pounds of impurities would be $8.400 \leq \sigma^2 \leq 39.827$ .

7 0

3 years ago

Amber says 2.76/6 gets an answer of 0.19.Is Amber's answer reasonable. (Choose One) A:No,because 0.2x3=0.6 B:No,because 0.2x6=1.

Butoxors [25]

Answer:

No, her answer is unreasonable because 0.2 * 6 = 1.2

Step-by-step explanation:

Here in this question, we are trying to use an approximation to see if what was said to be the result of a calculation is reasonable as an answer.

Looking at her division, 2.76/6 = 0.19

To the nearest tenth , 0.19 is same as 0.2, now multiplying 0.2 by 6, what we have is 1.2 ( of which even 0.19 * 6 is expected to be less than this). we can see that this value is quite far from our expected answer of 2.76 which makes the answer an unreasonable one

Thus, the division 2.76/6 = 0.19 is not a reasonable answer

5 0

3 years ago

What is the answer for h/8=3/12 in algebra

enot [183]

When you simplify 3/12, it's 1/4.
h/8 is equal to 1/4 so you want to multiply 2 for 1/4 which it becomes 2/8
Therefore h is 2

5 0

3 years ago

The formula for the volume of this rectangular prism is:

juin [17]

Answer:

Step-by-step explanation: Explanation:

and

represent the length, height and width of the prism, then the volume of the rectangular prism is :

............. (1)

Given :

−

;

............... (2)

(

−

)

;

(

)

Let

(

)

be the expression for the length, then the RHS of equation (1) becomes

(

−

)

(

)

(

−

)

(

)

(

−

)

(

)

(

−

)

(

)

(

−

)

−

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

;

−

;

Therefore

(

)

8 0

3 years ago