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3 years ago

Evaluate 4a2 + 3 when a = 5

Mathematics

1 answer:

rusak2 [61]3 years ago

7 0

Answer:

Step-by-step explanation:

4a2 +3

4(5)2 +3

20 × 2 +3

40 + 3

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Instead of dividing 400 by 16, Chip thought of an equivalent division problem that was easier for him to divide. Write an equiva

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100 divided by 4= 25. Hope it helps!

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4 years ago

Which of the following in not a method used to determine latitude?

Vesnalui [34]

The correct answer is quadrant.

Quadrant is a method used to determine latitude. Chronometer is used to measure time. Astrolabe is used by navigators and astrologers. Cross-staff or Jacob's staff is used to measure angles. So the correct answer would be quadrant. I hope this helped you.

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3 years ago

A pair of parallel lines is cut by a transversal, as shown below.

MA_775_DIABLO [31]

Answer:

$x=45\degree$

Step-by-step explanation:

In the diagram, the measure of the $(x+30\degree)$ angle is equal to the $75\degree$ angle.

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$\Rightarrow x =75\degree-30\degree$

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3 years ago

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tekilochka [14]

It’s on google or on ANSWERS.com

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4 years ago

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(score between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%$

$P(20 \leq x \leq 30) = 55.88\%$

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36$

c) P(mean score of sample is between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%$

$P(20 \leq x \leq 30) =99.84\%$

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4 years ago