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Aloiza [94]
2 years ago
8

PLEASE HELP ME ASAP!!!!!!

Mathematics
1 answer:
melamori03 [73]2 years ago
3 0

Answer:

b

Step-by-step explanation:

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The 400-meter race times at a state track meet are normally distributed with a mean
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P = 1.214

Step-by-step explanation:

Draw a normal probability curve.

Find the z score which comes out to be 0.18 (0.181578947)

look for the probability in the table.

look across 0.1 and under 8.

Get the probability and add 0.5 to it

so rhats:

0.714 + 0.5 = 1.214

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The number of employees at a company
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Find the GCF of 6x^7 and 15x^3?
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Let a = x2 + 4. Use a to find the solutions for the following equation:
Zepler [3.9K]

The solutions for x are -2, 0, 2

<em><u>Solution:</u></em>

Given that,

\text { Let } a = x^2 + 4

Given equation is:

(x^2 + 4)^2 + 32 = 12x^2 + 48

(x^2 + 4)^2 + 32 = 12(x^2 + 4)

\text { Subtsitute } a = x^2 + 4 \text{ in above equation }

a^2 + 32 = 12a\\\\a^2 -12a + 32 = 0

\text{ Let us factorize the above equation }\\\\\text{ Splitting the middle term -12a as -4a - 8a we get, }

a^2 -4a - 8a + 32 = 0

Taking "a" as common term from first two terms and taking "-8" as common from last two terms

a(a-4)-8(a - 4) = 0

\text{Taking (a - 4) as common term, }\\\\(a - 4)(a - 8) = 0

\text{Equating to zero we get, }\\\\(a - 4) = 0 \text{ or } (a - 8) = 0\\\\a = 4 \text{ or } a = 8

\text{Now substitute the value of a = 8 and a = 4 in: }\\\\a = x^2 + 4

\text{ For a = 8: }\\\\a = x^2 + 4\\\\8 = x^2 + 4\\\\x^2 = 4\\\\x = \pm2\\\\x = +2 \text{ or } -2

\text{For a = 4: }\\\\a = x^2 + 4\\\\4 = x^2 + 4\\\\x = 0

\text{Thus solutions of } x \text{ are: }\\\\x = 0 \text{ or } x = 2 \text{ or } x = -2

8 0
3 years ago
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