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kow [346]
3 years ago
14

The heights of 20-year-old females are normally distributed with a mean of 64 inches and a standard deviation of 2 inches. What

is the z-score for a height of 62 inches?​
Mathematics
2 answers:
likoan [24]3 years ago
8 0
I’m on the same question lol
natali 33 [55]3 years ago
5 0

Answer: z= -1

Step-by-step explanation: z= (62-64)/2 = -1

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Scores on an English test are normally distributed with a mean of 31.5 and a standard deviation of 7.3. Find the score that sepa
vladimir1956 [14]

If X is a random variable representing test scores, then the 41st percentile is the score x such that P(X\le x)=0.41. Transform X to the random variable Z that follows the standard normal distribution via X=31.5+7.3Z:

P(X\le x)=P\left(\dfrac{X-31.5}{7.3}\le\dfrac{x-31.5}{7.3}\right)=P\left(Z\le\dfrac{x-31.5}{7.3}\right)=0.41

The z-score for the 41st percentile is about -0.2275, so

\dfrac{x-31.5}{7.3}\approx-0.2275\implies\boxed{x\approx29.8}

6 0
4 years ago
Please help me answer this
tekilochka [14]

Answer:

The answer is B

Step-by-step explanation:

Btw if its wrong im sorry

7 0
2 years ago
Evaluate the expression under the given conditions. cos(θ − ϕ); cos θ = 3 5 , θ in quadrant iv, tan ϕ = − 15 , ϕ in quadrant ii
GaryK [48]
Begin with  cos(θ) = 5/13, θ in Quadrant IV 

you should distinguish the 5-12-13 right-angled triangle 

and then cosØ = adjacent/hypotenuse 

x = 5, r = 13 , y = -12, since Ø is in IV 

and sinØ = -12/13 


also tan(ϕ) = −√15 = -√15/1 = y/x and ϕ is in II, 

y = √15 , x = -1 

r^2 = x^2 + y^2 = 15+1 = 16 

r = 4 

sinϕ = √15/4 , cosϕ = -1/4 
you must know that: 

cos(θ − ϕ) = cosθcosϕ + sinθsinϕ 

= (5/13)(-1/4) + (-12/13)(√15/4) 

= -5/52 - 12√15/52 

= (-5-12√15)/52 
7 0
3 years ago
Help me with this pls!!! You need to fill in the blanks with the words given above 99 Points!
sweet-ann [11.9K]

A simulation is a mathematical model used to represent a situation.

  • A simulation can be a program or a physical test to "simulate" a situation to predict the outcomes.

When we combine two or more simple events we have a compound event

  • "Compound" means to combine, like a compound word would be a combination of two words

A Tree Diagram is a diagram that shows all the possible outcomes of an event

  • In a tree diagram, each possible outcome "branches" off the main stem, making the final diagram look like a tree with many separating branches.

All the possible outcomes or results is called the sample space

  • The outcomes are each different samples, and a sample space is a space that collects each of these samples

When an event is not affected by a previous outcome we have an independent event

  • This event is "independent", not affected by other factors, making it an independent event

Let me know if you need any clarifications, thanks!

~ Padoru

8 0
4 years ago
Complete the proof that △TUW≅△TVW.<br> T<br> U<br> V<br> W
Radda [10]

Answer: ASA

Step-by-step explanation:

8 0
2 years ago
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