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3 years ago

Determine the area of the given rhombus. ANSWERS: 140 square units 35 square units 70 square units 17.5 square units

Mathematics

1 answer:

sergey [27]3 years ago

7 0

Answer:

17.5

Step-by-step explanation:

A = $\frac{pq}{2}$

p = 7

q = 5

7 x 5 = 35

35 ÷ 2 = 17.5

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A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre

jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

Let $\bar X$ = sample mean

The z-score probability distribution for a sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 70

$\sigma$ = standard deviation = 8

n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;

So, z-score formula is given by ;

z-score = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{4 } }$

$\bar X = 70+(2 \times 4)$

$\bar X$ = 70 + 8 = 78

Therefore, the value of the sample mean is 78.

3 0

3 years ago

Someone please answer these two questions

galben [10]

Answer:

Are you dumb

Step-by-step explanation:

Stupid or dumb

7 0

3 years ago

Ms. Darden is selling handmade gloves at the school flea market. It costs her $9 to make one pair of gloves. At the fair she sel

satela [25.4K]

Answer:

270$

Step-by-step explanation:

7 0

3 years ago

If you bought 2 pairs of jeans that cost $19.99 each. How much change would you receive if you paid with a $50.00 bill? PLEASE H

damaskus [11]

10.02

19.99x2 is 39.98
50-39.98= 10.02

3 0

3 years ago

Read 2 more answers

Ryan is 4 1/2 ft. tall. He is 3 in. taller than his sister Lizzie. She is 3/4 of a foot taller than her sister Emma. How tall is

77julia77 [94]

Answer:

$3\frac{1}{12}$ ft tall

Step-by-step explanation:

We must follow the indications:

Ryan is 4 1/2 ft. tall.

Ryan = $4\frac{1}{12} ft$

He is 3 in. taller than his sister Lizzie. to find how tall is Lizzie we need to substract 3 inches from the height of Ryan, but we can only substract the quantities if they are in the same units.

Thus we convert the 3 inches to feet, since we 1 feet = 12 inches:

$\frac{1}{4} feet=3inches$

so the height of lizzie:

$4\frac{1}{12}ft-\frac{1}{4}ft\\ \\$

we convert the first mixed number to fraction by multiplying 4 by 12 and adding the numerator 1:

$4\frac{1}{12}=\frac{4*12+1}{12}=\frac{49}{12}$

the subtraction becomes:

$\frac{49}{12}ft-\frac{1}{4}ft\\ \\=\frac{49*4-12*1}{12*4}\\ \\=\frac{196-12}{48}\\\\=\frac{184}{48}\\ \\=\frac{46}{12} \\$

$=\frac{23}{6}$

Lizzie is 23/6 ft tall.

She is 3/4 of a foot taller than her sister Emma, thus we must substract 3/4 from the height of Lizzie to find the height of Emma:

$\frac{23}{6}ft-\frac{3}{4}ft\\ \\=\frac{23*4-6*3}{6*4}\\ \\=\frac{92-18}{24}\\ \\=\frac{74}{24}\\ \\=\frac{37}{12}\\ \\=3\frac{1}{12}$

Emma is $3\frac{1}{12}$ ft tall.

4 0

3 years ago