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agasfer [191]
3 years ago
14

Find the value of z.

Mathematics
1 answer:
Volgvan3 years ago
7 0

Answer:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation.\

Step-by-step explanation:

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X/3 +17 less than or equal to 15
Sliva [168]

x \leqslant  - 6

x/3+17is less than or equal to 15

x/3is less than or equal to 15-17

xis less than or equal to -6

5 0
3 years ago
What are the 1st and 3rd quartiles?<br> what is the interquartile range?
FrozenT [24]

Answer:

The first quartile is 5

The third is 8

The interquartile is the difference between the first and third quartile.

The interquartile is 3

Step-by-step explanation:

First, make a list of all the numbers. To find the first quartile, you have to first find the median. The median is the first 7 in the list.

Everything before 7 is the lower percentile of the range.

The firsr quartile is the median of the lower percentile.

The lower list is:

2,3,4,4,5,6,6,6

The median of this list is 5.

The process for finding the third quartile is the same except the list is the higher percentile which is the list of numbers above the median.

7 0
3 years ago
Read 2 more answers
On one highway, Gabriela noticed that they passed mile marker 123 at 1:00. She then saw that they reached mile marker 277at 3:00
Elena L [17]

<u>Given</u>:

Let time be the independent variable.

Let mile marker be the dependent variable.

On one highway, Gabriela noticed that they passed mile marker 123 at 1:00. She then saw that they reached mile marker 277 at 3:00 and Mr. Morales was driving at a constant speed.

The coordinates of the points on this line are (1,123) and (3,277)

We need to determine the slope of the line.

<u>Slope of the line:</u>

The slope of the line can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the points (1,123) and (3,277) in the above formula, we get;

m=\frac{277-123}{3-2}

m=\frac{154}{1}

m=154

Therefore, the value of the slope of this line is 154.

6 0
3 years ago
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many ya
Rainbow [258]

Answer: A

Step-by-step explanation:

X+y=1550

Y=4x

8 0
3 years ago
1. Use the given Taylor polynomial p 2 to approximate the given quantity.
KiRa [710]

Answer:

Part 1:

P₂(0.07)=0.93245≈e^{-0.07}

Part 2:

Error=0.5618*10^{-4}

Step-by-step explanation:

Given:

f(x)=e^{x}\\f(-0.07)=e^{-0.07}

P₂(x)=1-x+\frac{x^2}{2}

Solution:

Part 1:

P₂(x)=1-x+\frac{x^2}{2}

We have x=0.07

Put Value of x in above Equation:

P₂(0.07)=1-0.07+\frac{0.07^2}{2}

P₂(0.07)=0.93245≈e^{-0.07}

Part 2:

e^{-0.07}=0.93239382 (Calculated using Calculator)

Error=|e^{-0.07}-P₂(0.07)|=|0.93239382-0.93245|=0.00005618

Error=|0.93239382-0.93245|

Error=0.00005618

Error=0.5618*10^{-4}

6 0
3 years ago
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