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Brums [2.3K]
4 years ago
14

The z-score tells you how many standard deviations about the mean a given data value is. Find the z-score in this situation:

Mathematics
1 answer:
Bas_tet [7]4 years ago
6 0

Answer:

Z-score = -1.38

Step-by-step explanation:

The z-score measures how many standard deviations from the mean a data is

Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation

Z =\frac{X-\mu}{\sigma}

Where

μ is the mean, x is a data of the population and \sigma is the standard deviation

In this case

\mu = 15\ g\\\\\sigma = 1.6\ g\\\\X = 17.2\ g

Then the z-score is

Z = \frac{15-17.2}{1.6}\\\\Z = -1.38

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On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car's actual length, from bumper to bumper, is
baherus [9]

Answer:

I=\frac{3}{8}\cdot F and F = \frac{8}{3}\cdot I.

Step-by-step explanation:

Let I represent inches and F represent feet.

We have been given that on he scale drawing of a car, the length from bumper to bumper is 6 inches. The car's actual length, from bumper to bumper, is 16 feet.

We will use proportions to solve our given problem as:

\frac{\text{Length on scale}}{\text{Actual length}}=\frac{6}{16}

\frac{I}{F}=\frac{6}{16}

Now, let us solve for I.  

I=\frac{6}{16}\cdot F

I=\frac{3}{8}\cdot F

Now, let us solve our equation for F.

I\cdot\frac{8}{3}=\frac{8}{3}\cdot\frac{3}{8}\cdot F

\frac{8}{3}\cdot I= F

F = \frac{8}{3}\cdot I

Therefore, our required equations would be I=\frac{3}{8}\cdot F and F = \frac{8}{3}\cdot I.

8 0
4 years ago
The gas tank in Sharon’s car can hold up to 16.5 gal of gas. About how many liters of gas can the tank hold? 1 L≈1.06 qt
My name is Ann [436]
Most people have trouble deciding on what conversion factor to use. If there you use one conversion factor, and you get something like this:

(gal^2)/qt

Then you know that you used the wrong conversion factor. ALWAYS remember to multiply and divide your units. If you don't, you will not know whether or not you got what you were looking for.

4 0
3 years ago
How do you solve 5/x=x-4
alexandr402 [8]
\frac{5}{x}=x-4\\
x\not=0\\
5=x^2-4x\\
x^2-4x-5=0\\
x^2+x-5x-5=0\\
x(x+1)-5(x+1)=0\\
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6 0
4 years ago
110.4 divided by 4 show your work
andrew-mc [135]
100/4 = 2510/4 = 2.5
0.4/4 = 0.1
25 + 2.5 + 0.1 = 27.6
final answer 27.6
5 0
3 years ago
I need answers to 60, 62, 64
laiz [17]
Problem 60) The only natural number is the number 62 (assuming the number is 62 and not some decimal value;it's impossible to tell because it appears to be cut off). Recall that the set of natural numbers is the set {1, 2, 3, 4, ...} which is synonymous with the set of counting numbers.

------------------------------------------------

Problem 62) Irrational numbers are numbers that we CANNOT write as fractions of whole numbers. In this case, pi is irrational and so is sqrt(17)

It is impossible to write pi as a ratio of two integers (in the form p/q where q is nonzero). The same applies to sqrt(17).

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Problem 64)

There are two nonnegative integers and they are: 0 and 62 (keeping with the same assumption made back in problem 60 above). All you do here is list whole numbers that aren't negative.
8 0
3 years ago
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