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Margaret [11]
3 years ago
7

A quadrilateral has vertices (2, 0), (0, –2), (–2, 4), and (–4, 2). Which special quadrilateral is formed by connecting the midp

oints of the sides?
a. kite
b. rectangle
c. trapezoid
d. rhombus
Mathematics
1 answer:
Elden [556K]3 years ago
3 0
The first step to take is to plot the coordinates of the figure. Next, we caculate the distances of the sides of the polygon using distance formula given the coordinates of points. Next we get the midpoint of each side and connect them to each other. we calculate again the distances. The resulting figure is composed of four congruent sides but the angles are not perpendicular. The answer is D. rhombus
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the brain volumes ​(​) of 50 brains vary from a low of to a high of . use the range rule of thumb to estimate the standard devia
Sloan [31]

The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

s=R/4

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

s=max-min/4

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

To know about standard deviation click here :

brainly.com/question/23907081

#SPJ4

5 0
11 months ago
Jojo bear bought 2 juices for 2.95 per juice and three bags of chips for 1.20 each. How much did he spend in total. Show work
stealth61 [152]
He spent $9.50 in total. To find this answer, you write the equation 2(9.95) + 3(1.20). You would distribute getting 5.90 + 3.60= $9.50.
5 0
3 years ago
Which is the value of x in the equation?<br> 4(x-3) = 40
mario62 [17]

Answer:14

Step-by-step explanation:

8 0
3 years ago
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Is 50 a perfect square ? Explain your answer please 
xeze [42]
No, 50 is not a perfect square.  A perfect square is any number that can be divided by any number to get the quotient as the same number AND the quotient must be rational.  When you divide 50 so that the quotient equals the divisor, you will get an irrational number.  Therefore, 50 is not a perfect square.
3 0
3 years ago
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Claire bought three packages of sports drinks to the volleyball game. If each package contains 8 drinks,how many total drinks di
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Answer:

24 drinks

Step-by-step explanation:

Multiply the number of packages of drinks (3) times the number of drinks in each pack (8)

3*8=24

6 0
3 years ago
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