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3 years ago

Which information is. eeded to show that a parallelogram is a rectangle

Mathematics

1 answer:

MissTica3 years ago

5 0

all sides must be parrerel.

all angles should bisect each other

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The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

Daniel works at a nearby electronics store. He makes a commission of 15%, percent on everything he sells. If he sells a laptop f

levacccp [35]

Answer:

Commission earned= $43.95

Step-by-step explanation:

Giving the following information:

Commission rate= 15% = 0.15

Sales= $293

<u>To calculate the commission earned by selling the laptop, we need to use the following formula:</u>

Commission earned= commission rate*sales

Commission earned= 0.15*293

Commission earned= $43.95

4 0

3 years ago

Write the equation of the line that passes though the points (0,-2)(3,4)

34kurt

Answer:

y=2x-2

Step-by-step explanation:

find the slope (m)

m=y2-y1/x2-x1

m=4-(-2)/3-0

m=4+2/3-0

m=6/3

m=2

y-y1=m(x-x1)

y-(-2)=2(x-0)

y+2=2x

y=2x-2

8 0

3 years ago

A video game costs $25.00. The sales tax is 7%. How much will the total cost be for the game?

Luba_88 [7]

25 × .07 is the sales tax total
so the sales tax is $1.75
25 + 1.75 is $26.75

4 0

3 years ago

Read 2 more answers

Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) +

Sergeu [11.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Find the error in the student's calculation. 2 cubed (2 minus 4) + 5 (3 minus 8). 2 cubed (negative 2) + 5 (5). 8 (negative 2) + 25. Negative 16 + 25. 9.

The student's error occurred here :

2 cubed (negative 2) + 5 (5)

(3 - 8) will give - 5 and not 5 as Witten by the student. The correct working is stated below :

2³(2 - 4) + 5(3 - 8)

Step 1:

8(-2) + 5(-5)

Step 2:

-16 + - 25

Step 3:

-41

3 0

4 years ago

Read 2 more answers

Which information is. eeded to show that a parallelogram is a rectangle​

Which information is. eeded to show that a parallelogram is a rectangle