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dem82 [27]
2 years ago
11

Plz help 3 question with explanation

Mathematics
1 answer:
Westkost [7]2 years ago
7 0

Answer:

1. $79.38

2. It's correct.

Step-by-step explanation:

price: $105

discount: 30%

tax: 8%

Calculate 30% of 105 and subtract it from 105

To convert 30% to decimals, divide by 100.

\frac{30}{100}=0.30

105-0.30(105)

105-31.50

$73.50

Now calculate 8% of it and add it.

73.50+0.08(73.50)

73.50+5.88

$79.38

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harkovskaia [24]
 it would be the third one, 2/3
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3 years ago
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The heights of women in the USA are normally distributed with a mean of 64 inches and a standard deviation of 3 inches.
Rainbow [258]

Answer:

(a) 0.2061

(b) 0.2514

(c) 0

Step-by-step explanation:

Let <em>X</em> denote the heights of women in the USA.

It is provided that <em>X</em> follows a normal distribution with a mean of 64 inches and a standard deviation of 3 inches.

(a)

Compute the probability that the sample mean is greater than 63 inches as follows:

P(\bar X>63)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{63-64}{3/\sqrt{6}})\\\\=P(Z>-0.82)\\\\=P(Z

Thus, the probability that the sample mean is greater than 63 inches is 0.2061.

(b)

Compute the probability that a randomly selected woman is taller than 66 inches as follows:

P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-64}{3})\\\\=P(Z>0.67)\\\\=1-P(Z

Thus, the probability that a randomly selected woman is taller than 66 inches is 0.2514.

(c)

Compute the probability that the mean height of a random sample of 100 women is greater than 66 inches as follows:

P(\bar X>66)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}>\frac{66-64}{3/\sqrt{100}})\\\\=P(Z>6.67)\\\\\ =0

Thus, the probability that the mean height of a random sample of 100 women is greater than 66 inches is 0.

8 0
3 years ago
The least value of the function x^2 + px + q is 3 and this occurs when x = - 2. find the values of p and q
Rasek [7]

Answer:

Hello,

p=4

q=7

Step-by-step explanation:

The vertex of the parabola is (-2,3)

Equation of the parabola is  k(x+2)²+3=x²+px+q

Let's identify the coefficients:

kx²+4kx+4k+3=x²+px+q

so

k=1

4*1=p

4*1+3=q

3 0
1 year ago
Solve for n 10/18=n/9
My name is Ann [436]
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3 years ago
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Write equation in standard form y-1= -1/4(x-6)
const2013 [10]

The standard form:

Ax+By=C

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y-1=-\dfrac{1}{4}(x-6)         <em>use distributive property</em>

y-1=-\dfrac{1}{4}x+\dfrac{3}{2}          <em>multiply both sides by 8</em>

8y-8=-2x+4\cdot3

8y-8=-2x+12           <em>add 2x to both sides</em>

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\boxed{2x+8y=20}

6 0
2 years ago
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