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3 years ago

Find the area of the parallelogram that has a base of 2 1/2 feet and a height of 1 1/4 feet

Mathematics

1 answer:

blagie [28]3 years ago

4 0

Answer:

3 1/8 ft²

Step-by-step explanation:

The area of a parallelogram is equal to the product of its base and its height.

b × h

2.5 × 1.25

= 3.125

The area is 3.125 feet².

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Consider a sampling distribution with p equals 0.15p=0.15 and samples of size n each. Using the appropriate formulas, find the

Grace [21]

Answer:

$a.\ \mu_p=750\ \ , \sigma_p=0.005\\\\b.\ \mu_p=150\ \ , \sigma_p=0.0113\\\\c.\ \mu_p=75\ \ , \sigma_p=0.0160$

Step-by-step explanation:

a. Given p=0.15.

-The mean of a sampling proportion of n=5000 is calculated as:

$\mu_p=np\\\\=0.15\times 5000\\\\=750$

-The standard deviation is calculated using the formula:

$\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\=\sqrt{\frac{0.15(1-0.15)}{5000}}\\\\=0.0050$

Hence, the sample mean is μ=750 and standard deviation is σ=0.0050

b. Given that p=0.15 and n=1000

#The mean of a sampling proportion of n=1000 is calculated as:

$\mu_p=np\\\\=1000\times 0.15\\\\\\=150$

#-The standard deviation is calculated as follows:

$\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{1000}}\\\\\\=0.0113$

Hence, the sample mean is μ=150 and standard deviation is σ=0.0113

c. For p=0.15 and n=500

#The mean is calculated as follows:

$\mu_p=np\\\\\\=0.15\times 500\\\\=75$

#The standard deviation of the sample proportion is calculated as:

$\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{500}}\\\\\\=0.0160$

Hence, the sample mean is μ=75 and standard deviation is σ=0.0160

4 0

3 years ago

Please answer the following, 50 points available!

Rus_ich [418]

Answer for Area:

6,518.75 square meters

Explanation for Area:

First, you would multiply the length and the width of the car park to find its area (75 x 100 =7500). Now, find the area of the arena. Since you are given the diameter, divide it by 2 to get the radius (25). Now multiply π by 25^2. This should give you 1962.5. Then, since only half of the arena is in the car park, divide the area of the arena by 2. Now you have 981.25. Now, subtract this from the area of the car park (7500). Your answer should now be 6,518.75.

Answer for Fence:

295 meters

Explanation for Fence:

Add up all the sides. There are two sides with 100 meters and 2 sides with 75 meters. But, because you arent supposed to include the space where the arena is. only add 25. This gets you 300. Now, subtract 5 meters for a gate. 295 is your final answer.

6 0

3 years ago

Read 2 more answers

Policeman A and Policeman B hand out 70 speeding tickets in a month.

Inessa05 [86]

Answer:

Policeman A = 56 tickets

Step-by-step explanation:

Policemen A + B = 70

If Policeman B hands out x no of tickets...

Then Policeman A hands out 4x no of tickets

meaning...

x + 4x = 70

5x = 70

x = 70/5

x = 14

Therefore Policeman A hands out..

4x = 4 × 14 = 56 tickets

8 0

3 years ago

Blanca jogged 8 days last month she jogged 1.25 miles on each day and burned 140 calories per mile while jogging how many calori

xz_007 [3.2K]

Answer:

140p calories

Step-by-step explanation:

Bianca is said to have jogged km 8 days, while also completing 1.25 miles every day. First, we calculate the total number of miles Bianca jogged in total, and that is

8 * 1.25 = 10 miles

Therefore, Bianca jogged a total of 10 miles the previous month.

Again, it is said that Bianca burned 140 calories per each mile she jogged and were asked to find the total calories that was burnt.

If Bianca burns 140 calories per mile, then she must have burnt 140 * 10 calories in 10 miles.

Therefore, we conclude that Bianca burnt 1400 calories.

6 0

3 years ago

Subtract and add the group of fractions below. Make sure the answer is fully reduced.

yarga [219]

Answer:

19/20 that's simplified by the way... and if you want the decimal form it's 0.95

6 0

3 years ago

Read 2 more answers