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valentinak56 [21]
3 years ago
13

I need help with this can you please help me?

Mathematics
1 answer:
Vikki [24]3 years ago
4 0
2. 12x5y
 3.7.402 x 10^6
4. 2.36 x 10^2, 2.36 x 10^3, 23.6 x 10^3
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In a recent contest, the mean score was 210 and the standard deviation was 25. a) Find the z-score of John who scored 190 b) Fin
denpristay [2]

Answer:

a) Z = -0.8

b) Z = 2.4

c) Mary's score was 241.25.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 210, \sigma = 25

a) Find the z-score of John who scored 190

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

Z = \frac{190 - 210}{25}

Z = -0.8

b) Find the z-score of Bill who scored 270

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

Z = \frac{270 - 210}{25}

Z = 2.4

c) If Mary had a score of 1.25, what was Mary’s score?

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

1.25 = \frac{X - 210}{25}

X - 210 = 25*1.25

X = 241.25

Mary's score was 241.25.

3 0
3 years ago
Read 2 more answers
(2.5×10-8)(9×10-10)​
IgorC [24]

Answer:

1360

Step-by-step explanation:

First, you do all the operations inside the parenthesis, and then you multiply the two. Also, remember the order of operations. Multiplication always comes before addition and subtraction.

(2.5x10-8)(9x10-10)

(25 - 8)(90 - 10)

(17)(80) = 17x80 = 1360

4 0
3 years ago
nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40
ziro4ka [17]

Answer:

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

Step-by-step explanation:

A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels (V_{net}), measured in cubic milimeters, is the product of the number of elements (n), no unit, and the volume of each element (V), measured in cubic milimeters. That is:

V_{net} = n\cdot V (1)

By volume equation of right cylinder, we have the following formula:

V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h (2)

Where:

n - Amount of nickels, no unit.

D - Diameter of nickel, measured in milimeters.

h - Thickness of nickel, measured in milimeters.

If we know that n = 40, D = 20\,mm and h = 2\,mm, then the net volume of the stack of nickels is:

V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)

V_{net} \approx 25132.741\,mm^{3}

The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.

8 0
3 years ago
PLEASE HELP ILL GIVE BRAINLIESTTTT
Stels [109]
F(-3)= 1
f(1)= -1
if f(x)= -2 then x=3
if f(x)= 2 then x= -5
7 0
2 years ago
Read 2 more answers
Craig is practicing his baseball pitching he kept track of the speed oI made a histogram at right can you tell the speed of each
Aneli [31]

Answer:

61

Step-by-step explanation:

8 0
2 years ago
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