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omeli [17]
3 years ago
14

The heights of male students are normally distributed with a mean of 160 cm and a standard deviation

Mathematics
2 answers:
vlada-n [284]3 years ago
5 0

Answer:

6mm

Step-by-step explanation:

Comment of the.....

kompoz [17]3 years ago
4 0

Answer:

2.28%

Step-by-step explanation:

As this is normally distributed, we can use z scores to find the percentage.

First, find the z-score for 148.

The z-score that you get is:

(148-160)/2=2

As we see that z=2, we can use a calculator or a z-score chart to find the percentage less than a z score of 2.

I used my chart and found: 2.28%

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Three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting,
Alex17521 [72]

After translating the expression I got:

\frac{3}{4} x < 24

Once you cross multiply you should have the following expression:

x < 32

Then when you graph, remember it should be an open circle on the 32 and the direction of the arrow should be towards 0

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3 years ago
23 x 5 + 6 x 50 -7 = ?
Marysya12 [62]

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Step-by-step explanation:

5 0
3 years ago
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Lydia baked a total of 144 chocolate chip cookies and peanut butter treats for Valentine's Day. Initially, the ratio of chocolat
andre [41]
Let x be the chocolate chip cookies, so the peanut butter treats will be 144-x.
We know that the cookies and the treats are in a ratio of 5:3, so:\frac{cookies}{treats} = \frac{5}{3} = \frac{x}{144-x}
Now we can solve for x:
\frac{5}{3} = \frac{x}{144-x}
5(144-x)=3x
720-5x=3x
8x=720
x= \frac{720}{8}
x=90

We now know Lydia has 90 chocolate chip cookies, and 144-x=144-90=54 peanut butter treats.

Then, Lydia's friend ate \frac{3}{5} of her cookies, so her friend ate \frac{2}{5} (90)=36 cookies. Therefore, Lydia has 90-36=54 cookies left.
Now we can calculate the total amount of baked goods after her friend ate the cookies:
144-54=90
Therefore, our remainder treats will be:
90-x

We also now that after her friend ate 54 cookies and some treats, the new ratio is 6:1, and that's all we need to set up our new equation and solve it to find how many treats she ate:
\frac{cookies}{treats} = \frac{6}{1} = \frac{54}{90-x}
6(90-x)=54
540-6x=54
6x=486
x= \frac{486}{6}
x=81

Finally, if she ate 81 out 90 treats, we can conclude the Lydia has left with 9 peanut butter treats.


3 0
4 years ago
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A shirt is on sale for $15. its original price was $25. by what percentage did the price decrease?
Rama09 [41]

Answer:

That would be a decrease of 40%

Step-by-step explanation:

6 0
3 years ago
Find the measure of the missing angle.
ZanzabumX [31]

Answer:

40°

Step-by-step explanation:

All angles must equal 180.

110°+30°+_40°_= 180°

6 0
3 years ago
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