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2 years ago

Question 6 Multiple Choice Worth 1 points)

Mathematics

1 answer:

OleMash [197]2 years ago

5 0

Answer:

Quantity A because it changes with gravitational pull.

Explanation:

Mass defines the constitutive matter of an object. It is immutable (does not change). Although it could be converted into energy, the matter is constant.

On the other hand, the weight of an object (gravitational force) depends on the acceleration due to gravity.

That is why an astronaut weighs about three times more on earth than on Mars. The gravitational acceleration on Mars is about one third that on earth.

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Factor Quadratics

klasskru [66]

Answer:

(x−3)(x−8)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

In studies for a medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.

timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

$p = 0.03$

$q = 1 - 0.03 = 0.97$

The mean is

$\mu = np$

$\mu = 643 \times 0.03 = 19.29$

The standard deviation is

$\sigma = \sqrt{npq}$

$\sigma = \sqrt{643 \times 0.03 \times 0.97}$

$\sigma =4.33$

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

$P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 1.20) \\ = 0.051$

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

$P(X \: < \: 24.5) = P(z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P(z \: < \: 1.20) \\ = 0.8849$

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

$P(X \: > \: 10.5) = P(z \: > \: \frac{10.5 - 19.29}{4.33} ) \\ = P(z \: > \: - 2.03)$

$= 0.9788$

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

$P(23.5 \: < \: X \: < \: 28.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{28.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 2.13) \\ = 0.1494$

3 0

3 years ago

SOMEBODY PLEASE HELP ME it’s due at 11:59

lapo4ka [179]

Answer:

Step-by-step explanation:

given: miles traveled and cost

to find: which one is correct

solution:

miles traveled =25

And cost =80

80/25 = 3.2

similarity all $3.20 cost increase

7 0

2 years ago

ILL GIVE BRAINLEST, Find the value of x.

natali 33 [55]

Answer:

x=6, y=128

set 5x+16 = 7x+4

-2x=-12

x=6

plug x into equation= 46

180-46=134

y+6=134

y=128

3 0

3 years ago

Read 2 more answers

Find the Domain and Range of the following: (6.-1) (-2.2) (18,-1) (-2,3) Domain: Range: Is this relation a function?

zheka24 [161]

Answer:

Domain: {-2,6,18}

Range: {-1,2,3}

This relation is not a function.

Step-by-step explanation:

The domain is all of the x values given listed in order from least to greatest and not repeating any numbers. The range is the same thing, but with the y values given. This is not a function because multiple ordered pairs have more than one output for the input. Let's take -2 in these ordered pairs. It has two different outputs, 3 and 2. Because of this, it is not a function.

Hope this helps!!

8 0

2 years ago