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3 years ago

There is a pair of parallel sides in the following shape.

Mathematics

1 answer:

Nutka1998 [239]3 years ago

4 0

The area of the shape is 12 square units

<h3>Area of a trapezium</h3>

The given shape is a trapezium and the formula for calculating the area of a trapezium is expressed as:

A = 0.5(a+b)h

Given the following parameters

a = 2

b = 10

h = 2

Substituting the given parameters

A = 0.5(2+10)*2
A = 0.2(12) * 2

A = 12 square units

Hence the area of the shape is 12 square units

Learn more on area of trapezium here: brainly.com/question/16904048

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The student body President of a high school claims to know the names of at least 1000 of the 1800 students at the school. To tes

hoa [83]

Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

$n = 100, \pi = \frac{46}{100} = 0.46$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.3317$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 + 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.5883$

The 99% confidence interval for p in this case is (0.3317, 0.5883).

4 0

3 years ago

PLEASE HELP ME 50 POINTS!!!! Identify an expression that is equivalent to 0.3(15y).

IgorC [24]

Answer: 4.5y

Step-by-step explanation: You have To Multiply 15 times 0.3 and you get 4.5y

7 0

3 years ago

Read 2 more answers

Find the slope that passes through (2,-4) and (5,2)

yanalaym [24]

Hi there! :)

Step-by-step explanation:

$SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{2-(-4)}{5-2}=\frac{6}{3}=2$

Therefore, the slope is 2.

Final answer is 2.

*The answer must have a positive sign.*

I hope this helps you!

Have a nice day! :)

-Charlie

Thank you! :)

7 0

3 years ago

Gabriella and her children went into a grocery store and where they sell apples for $1 each and mangos for $0.50 each. Gabriella

Dafna1 [17]

Answer:

Step-by-step explanation:

Let x represent the number of apples that she wants to buy.

The grocery store sells apples for $1 each and mangos for $0.50 each.

If Gabriella decided to buy 13 mangos, it means that the cost of buying x apples and 13 mangoes is expressed as

x + 13 × 0.5 = x + 6.5

If she buy at least 19 apples, it means that

x + 13 ≥ 19

x ≥ 19 - 13

x ≥ 6

Gabriella has $15 to spend. It means that

x + 6.5 ≤ 15

x ≤ 15 - 6.5

x ≤ 8.5

Therefore, the maximum number of apples that she can buy is 8

5 0

3 years ago

steve measured the length of his room and found it to be 9 feet and 6 inches. The width of his room was 11 feet exacly. What is

Art [367]

Length: 114 in.
Width: 132 in.

For length, you have 9 feet and 6 inches. Meaning that if you would want to get the length of his room in inches, you would have to multiply 9 with 12 and add 6.

It's the same thing for the width.

If you need more help comment below!

4 0

4 years ago