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4 years ago

Find the area of the parallelogram! WILL GIVE BRAINLIEST FOR CORRECT ANSWER WITH A LITTLE BIT OF WORK :D

Mathematics

2 answers:

dybincka [34]4 years ago

7 0

The answer is $1330$ $in^{2}$

The formula to find the area of a parallelogram is: $A=bh$

The base of the parallelogram is 38 in.The height of the parallelogram that we are given in the dotted line because it is straight and gives us a more accurate representation of our actual height, so our height is 35 in. Now time for some math. All we have to do is plug our numbers into our formula and get our answer

$A=bh$

38
<u>x 35 </u>
1330

Remember to add the $unit^{2}$ because we are looking at the area of the given shape

And that is our final answer!

Thank you for your question! I hope this helped! Have an amazing day and feel free to let me know if I can be of any further help! :D

grandymaker [24]4 years ago

3 0

A=BH.. 35 x 38= 1330

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10.

Kay [80]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

Step-by-step explanation:

Information provided

$\bar X=32.1$ represent the sample mean

$\mu$ population mean

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

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

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

The degrees of freedom are given by:

$df=n-1=83-1=82$

The Confidence is given by 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=62.132$

$\chi^2_{1- \alpha/2}=104.139$

And replacing into the formula for the interval we got:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.535 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.2 \leq \sigma \leq 2.8$

And the best option would be:

A. 2.2 < σ < 2.8

3 0

3 years ago

Carl runs around a track in 1.17 minutes. How long would it take him to run 1.5 laps at this rate? [Round to two places

Andru [333]

Multiply:
1.17 x 1.5 = 1.755
rounded to 2 places = 1.76 minutes

6 0

3 years ago

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A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 7? Express your answer as a frac

zzz [600]

Answer:

0.4167 is the probability of rolling a sum less than 7.

Step-by-step explanation:

We are given the following in the question:

Event: A standard pair of six-sided dice is rolled

A: rolling a sum less than 7

Sample space:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1)}

Formula:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(A) = \dfrac{15}{36} = 0.4167$

0.4167 is the probability of rolling a sum less than 7.

8 0

3 years ago

How do I find domain and range from a graph/equation?

likoan [24]

domain represents the x values so for example in a diagonal line that continues infinitely, the domain is all real numbers or (-infinity, infinity)

range represents y values so it would also be all real numbers or (-infinity, infinity)

let’s say there is a line (refer to pic) that moves ONLY from point (-3, -1) and (2, 2)

the domain would be [-3, 2]

we use brackets because it’s a real number unlike infinity (also because it’s a closed circle on the graph; if the graph had an open circle you would use a parenthesis)

and the range would be [-1, 2]

if you have any more questions about this explanation feel free to ask!

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3 years ago

Can someone help me please?

Rainbow [258]

Answer:

the first option is correct

since value of a will be found through division.

7 0

2 years ago

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