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vovangra [49]
3 years ago
11

Find MP. MN=17 NP=3y MP=5y+9

Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0

Answer:

MP = 29

Step-by-step explanation:

Given:

MN = 17

NP = 3y

MP = 5y + 9

MN + NP = MP (segment addition postulate)

17 + 3y = 5y + 9 (substitution)

3y = 5y + 9 - 17 (subtracting 17 from each side)

3y = 5y + 8

3y - 5y = 5y - 8 - 5y (Subtracting 5y from both sides)

-2y = 5y - 8 - 5y

-2y = - 8

y = 4 (dividing both sides by -2)

MP = 5y + 9

Plug in the value of y

MP = 5(4) + 9 = 20 + 9

MP = 29

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3 years ago
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What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
Nat2105 [25]
Hello :
f(-4) = 4(-4)+9 = -7
f(-2) = 4(-2)+9 = 1
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the range of the function f(x) = 4x + 9 is : <span>D' = {-7, 1, 9, 17}</span>
8 0
3 years ago
A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race durin
Andrej [43]

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

3 0
3 years ago
a grandmother says her grandson is two years older than her granddaughter and that together, they are at least 12 years old. how
vfiekz [6]

Hello There!

As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.

First, we would create an equation based on what the question says, which would look as:

x + x + 2 = 12

2x + 2 = 12

Subtract two from both sides.

2x = 10

The grand daughter is 5 years old and since the grandson is two years older he is 7.

Thus,

The age of the granddaughter is 5

The age of the grandson is 7


7 0
3 years ago
Share 747 pound in the ratio 2:7 betwen tom and ben
Yuliya22 [10]
2p + 7p = 747
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2 * 83 = 166    7 * 83 = 581

Hope it helps
7 0
3 years ago
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