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3 years ago

Perform the indicated operation and simplify the result.

Mathematics

1 answer:

Finger [1]3 years ago

3 0

Answer:

7/ (3a-1)

Step-by-step explanation:

3a^2 -13a +4 28+7a

------------------ * --------------------

9a^2 -6a+1 a^2 -16

Factor

(3a-1)(a-4) 7(4+a)

------------------ * --------------------

(3a-1) (3a-1) (a-4)(a+4)

Cancel like terms

1 7

------------------ * --------------------

(3a-1) 1

Leaving

7/ (3a-1)

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The sample consisted of 50 night students, with a sample mean GPA of 3.02 and a standard deviation of 0.08, and 25 day students,

bulgar [2K]

Answer: The test statistic is t= -0.90.

Step-by-step explanation:

Since we have given that

n₁ = 50

n₂ = 25

$\bar{x_1}=3.02\\\\\bar{x_2}=3.04\\\\\sigma_1=0.08\\\\\sigma_2=0.06$

So, s would be

$s=\sqrt{\dfrac{n_1\sigma_1^2+n_2\sigma_2^2}{n_1+n_2-2}}\\\\s=\sqrt{\dfrac{50\times 0.08^2+25\times 0.06^2}{50+25-2}}\\\\s=0.075$

So, the value of test statistic would be

$t=\dfrac{\bar{x_1}-\bar{x_2}}{s(\dfrac{1}{n_1}+\dfrac{1}{n_2})}\\t=\dfrac{3.02-3.04}{0.074(\dfrac{1}{50}+\dfrac{1}{25})}\\\\t=\dfrac{-0.04}{0.074(0.02+0.04)}\\\\t=\dfrac{-0.04}{0.044}\\\\t=-0.90$

Hence, the test statistic is t= -0.90.

7 0

3 years ago

A car dealership pays you 4% commission on your first $8,000 in car sales and 8% commission on additional sales over the $8,000.

Zigmanuir [339]

Answer:

Total Commission = $400

Step-by-step explanation:

Since total is $9000 (in sales) -- commision is 4% on the first $8000 and 8% in the additional part over $8000 (9000-8000=1000). So 8% on $1000.

<u>Total commission</u> = 4% of 8000 + 8% of 1000

= (0.04)(8000) + (0.08)(1000)

= 400

Total Commission is $400

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3 years ago

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The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. Find the pro

Bogdan [553]

Answer:

Step-by-step explanation:

Let X be the length of pregnancy.

X is N(268, 15)

a) Prob of pregnancy lasting 307 days or longer

= P(X>307) = $P(Z>\frac{307-268}{15} )\\=P(Z>2.6)\\$

=0.5-0.4953

=0.0047

b) Lowest 2% is 2nd percentile

Z=-2.55

X score = 268-2.55(15)

= 229.75 days

If length of days >230 days then it is not premature.

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3 years ago

Solve for b.

MakcuM [25]

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Answer:

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