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3 years ago

Which of the following z-scores indicates the most extreme observation?

Mathematics

1 answer:

UNO [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Normally Z scores in a std normal distribution curve lie between -3 and 3 comprising more than 99% of total area.

Any entry outside (-3,3) can be considered as an extreme observation.

Here we have hence a) -4.3 is the most extreme observation.

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Given that 84 separates the lowest 75% of the scores from the highest 25% of the scores,

This means 84 is the 75th percentile and similarly 65 is the 25th percentile.

Thus we have 84 has the percentile rank of 75

Option C

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In a shipment of airplane parts, 5% are known to be defective. If 21 parts are found to be defective, how many parts are in the

horrorfan [7]

We can use ratios and the cross-multiply-divide to find this.

The ratio 21:5 is avaliable via the question. We then need to compare that to the ratio x:100, the 100 being the percent and the x being the number of airplane parts.

21/5 = x/100

We can then solve for x to find the number of airplane parts. First we multiply by 100 on both sides to get 2100/5 = x. Therefore x = 420 and there are 420 airplane parts.

7 0

3 years ago

A rectangle has vertices (8, 6), (4, 6), (8, −4), and (4, −4). What are the coordinates after dilating from the origin by a scal

Mama L [17]

Answer: (12,9), (6,9), (12,-6) and (6,-6)

Step-by-step explanation:

Given: The coordinates of the original rectangle are (8, 6), (4, 6), (8, −4), and (4, −4). We know that the coordinates of the image after dilation from the origin by a scale factor of k is given by:_

$(xy)\rightarrow(kx,ky)$

Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_

(8, 6)→ $(8\times1.5,6\times1.5)=(12,9)$

(4, 6)→ $(4\times1.5,6\times1.5)=(6,9)$

(8, −4) → $(8\times1.5,-4\times1.5)=(12,-6)$

(4, −4)→ $(4\times1.5,-4\times1.5)=(6,-6)$

Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).

3 0

3 years ago

3(x - 5) – 3 = 5(x - 2) + 2x

Arlecino [84]

Answer:

x=−2

Step-by-step explanation: Step 1: Simplify both sides of the equation.

3(x−5)−3=5(x−2)+2x

(3)(x)+(3)(−5)+−3=(5)(x)+(5)(−2)+2x(Distribute)

3x+−15+−3=5x+−10+2x

(3x)+(−15+−3)=(5x+2x)+(−10)(Combine Like Terms)

3x+−18=7x+−10

3x−18=7x−10

Step 2: Subtract 7x from both sides.

3x−18−7x=7x−10−7x

−4x−18=−10

Step 3: Add 18 to both sides.

−4x−18+18=−10+18

−4x=8

Step 4: Divide both sides by -4.

−4x

−4

x=−2

6 0

3 years ago

A ten-foot-long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 feet longer

VladimirAG [237]

Let's say the second piece is x ft long
The first piece is 2x ft long
The third piece is x+4 ft long
All of the pieces should add up to 10ft
x+2x+x+4=10
4x= 6
x=1.5ft
The first piece is 2x ft long=3 ft long

7 0

3 years ago

What is the GCF and LCM of -21 and 80? Please Help! Explanation Please! :)

Gekata [30.6K]

Answer:

It's on ur most recent version of this question

3 0

3 years ago