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likoan [24]
2 years ago
12

HELP!!!!!!!PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ>

Mathematics
1 answer:
horsena [70]2 years ago
4 0
The first one is correct
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The ages of the employees at Solar Systems, Inc. is normally distributed with a mean of 32.7 years and a standard deviation of 1
svetoff [14.1K]

Answer:

6.7%  of employees at Solar Systems, Inc. are younger than 30 years old

Step-by-step explanation:

The mean of  ages of the employees at Solar Systems is 32.7 years

Mean = \mu = 32.7

Standard deviation =\sigma = 1.8 years

We are supposed to find What percentage of employees at Solar Systems, Inc. are younger than 30 years old i.e.P(x<30)

So,Z=\frac{x-\mu}{\sigma}

Z=\frac{30-32.7}{1.8}

Z=-1.5

Refer the z table for p value

So,p value = 0.0668

So P(x<30)=0.0668= 6.68% = 6.7%

So, 6.7%  of employees at Solar Systems, Inc. are younger than 30 years old

7 0
3 years ago
Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to
aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

\frac{7}{10} x-3

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\

\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

5 0
3 years ago
Will mark brainliest!
ioda

Answer:

the answer is A

Step-by-step explanation:

5 0
3 years ago
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What is the value of (10 x 0.5) squared + 4 cubed?
kotegsom [21]
First set up the equation:
(10*0.5)^{2}+4^{3}

Now solve the ones in the parenthesis:
5^{2}+4^{3}

Then do the exponents:
25+64

The answer will be:<u> </u><u>89
</u>

Hope this helps!<u>

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4 0
3 years ago
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Please help I will mark brainlest
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Hope this helps, pls mark me brainliest

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