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hichkok12 [17]
3 years ago
13

"A normal distribution of test scores has a mean of 38 and a standard deviation of 6. Everyone scoring at or above the 80th perc

entile gets placed in an advanced class. What is the cutoff score to get into the class
Mathematics
2 answers:
Eduardwww [97]3 years ago
8 0

Answer:

43.05, meaning a score of 43

Step-by-step explanation:

Komok [63]3 years ago
3 0

Answer: the cutoff score to get into the class is 43

Step-by-step explanation:

Since the scores on the test are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = scores on the test.

µ = mean score

σ = standard deviation

From the information given,

µ = 38

σ = 6

The probability value for the 80th percentile is 80/100 = 0.8

Looking at the normal distribution table, the z score corresponding to the probability value is 0.85

Therefore,

0.85 = (x - 38)/6

Cross multiplying by 6, it becomes

0.85 × 6 = x - 38

5.1 = x - 38

x = 5.1 + 38

x = 43.1

Approximately 43

You might be interested in
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by payi
lukranit [14]

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

 

Using the values from above, we can set up the equation as:

400 = 25m + 10b

or

25m + 10b = 400

This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.

Hope this helps have a good day

3 0
2 years ago
8. Anoki Shah washes windows for Sparkle Cleans. He gets paid $1.39 per window. Last week he clean 284 windows. What was his tot
tensa zangetsu [6.8K]
284 x $1.39= $394.76
He made $394.76 washing 284 windows last week
6 0
3 years ago
9. YOU BE THE TEACHER Your friend
Crank

Answer:

Step-by-step explanation:

Yes, it's reasonable.

What you are doing is solving the question by rounding. You come up with an answer. Suppose you loose the decimal somewhere and you get 0.36? Is that reasonable? Do you just write the answer in the provided blank and move on. What now?

You get it wrong?!!

But your estimate should be about 9/3 = 3. Now you look at your calculator with great misgivings, because it made a mistake. Did it or did you? Well ultimately you did, but you have to blame something. So the calculator takes the heat.

Who  knows? Maybe the decimal doesn't work. It's stuck or something. In any event you should be aware that there's no way the answer could be 0.36 when you estimate it to be 3.

8 0
2 years ago
64.8=6(m+2.9) <br> what is m<br> please help me and explain how did you get your answer
BabaBlast [244]

Answer:

= −11.2

Step-by-step explanation:

64.8=6(m+22)

We move all terms to the left:

64.8-(6(m+22))=0

We calculate terms in parentheses: -(6(m+22)), so:

6(m+22)

We multiply parentheses

6m+132

Back to the equation:

-(6m+132)

We get rid of parentheses

-6m-132+64.8=0

We add all the numbers together, and all the variables

-6m-67.2=0

We move all terms containing m to the left, all other terms to the right

-6m=67.2

4 0
3 years ago
Read 2 more answers
Find the values of sand y <br> VR=y<br> TS=x+11<br> VT=y-3x <br> RS=x+2
Bumek [7]
I'm guessing this is a parallelogram or something, so VR=TS and RS=VT
therefore, y=x+11 and x+2=y-3x
y=x+11 , 2=y-4x
y=x+11 , y=4x+2
then use the process of elimination:
   y=4x+2         then plug in:    y=3+11
-  y=x+11                                 y=14
   0=3x-9                     I think this is how you'd do it, tbh it's just an educated
  3x=9 , x=3                               guess. Btw, sorry if it looks weird
6 0
2 years ago
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