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4 years ago

A function is given by the equation h (x)=x 2 squared +6x-3. what is h (3)?

1 answer:

5 0

Your "h (x)=x 2 squared +6x-3" is ambiguous. If you meant "x squared," then you need only write x^2 OR "x squared," but NOT "x 2 squared."

I will assume that by "h (x)=x 2 squared +6x-3" you actually meant:

h(x)=x^2 +6x-3. To find h(3), subst. 3 for x: h(3) = (3)^2 + 6(3) - 3, or

h(3) = 9 + 18 - 3, or h(3) = 24.

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ratio of a rectangle's length to its width is 4:7. If the longer side is 31.5in., find the width, the perimeter, and the area of

Nikitich [7]

Answer:

Step-by-step explanation:

Ratio of length : width = 4 : 7

Length = 4x

Width = 7x

Longer side = 31.5 in

⇒ 7x = 31.5

Divide both sides by 7

x = 31.5/7

x = 4.5

length = 4x

= 4*4.5

l = 18 in

width = 31.5

w = 31.5 in

$\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}$

= 2*18 + 2*31.5

= 36 + 63

= 99 in

$\boxed{ \text{Area of rectangle = l*w}}$

= 18*31.5

= 567 in²

3 0

2 years ago

Tracey has 29 students in her class. She has 21 boys in her class. What is the ratio of girls to boys in her class

Xelga [282]

First find the number of girls in her class.

29 student - 21 boys = 8 girls

So, the ratio of girls to boys is:

8 girls:21 boys

Or just:

8:21

answer: 8:21

6 0

4 years ago

The ratio of red marbels to blue marbles in a bag is 3:4 which of the following is a possible total number of marbels

nadya68 [22]

If that helps, but I'm pretty sure the answer is -1 that is what I have found in Google that is what all the answers are that in finding.

3 0

3 years ago

Suppose that one person in 10,000 people has a rare genetic disease. There is an excellent test for the disease; 98.8% of the pe

nirvana33 [79]

Answer:

A)The probability that someone who tests positive has the disease is 0.9995

B)The probability that someone who tests negative does not have the disease is 0.99999

Step-by-step explanation:

Let D be the event that a person has a disease

Let $D^c$ be the event that a person don't have a disease

Let A be the event that a person is tested positive for that disease.

P(D|A) = Probability that someone has a disease given that he tests positive.

We are given that There is an excellent test for the disease; 98.8% of the people with the disease test positive

So, P(A|D)=probability that a person is tested positive given he has a disease = 0.988

We are also given that one person in 10,000 people has a rare genetic disease.

So, $P(D)=\frac{1}{10000}$

Only 0.4% of the people who don't have it test positive.

$P(A|D^c)$ = probability that a person is tested positive given he don't have a disease = 0.004

$P(D^c)=1-\frac{1}{10000}$

Formula: $P(D|A)=\frac{P(A|D)P(D)}{P(A|D)P(D^c)+P(A|D^c)P(D^c)}$

$P(D|A)=\frac{0.988 \times \frac{1}{10000}}{0.988 \times (1-\frac{1}{10000}))+0.004 \times (1-\frac{1}{10000})}$

P(D|A)= $\frac{2470}{2471}$ =0.9995

P(D|A)= $0.9995$

A)The probability that someone who tests positive has the disease is 0.9995

(B)

$P(D^c|A^c)$ =probability that someone does not have disease given that he tests negative

$P(A^c|D^c)$ =probability that a person tests negative given that he does not have disease =1-0.004

=0.996

$P(A^c|D)$ =probability that a person tests negative given that he has a disease =1-0.988=0.012

Formula: $P(D^c|A^c)=\frac{P(A^c|D^c)P(D^c)}{P(A^c|D^c)P(D^c)+P(A^c|D)P(D)}$

$P(D^c|A^c)=\frac{0.996 \times (1-\frac{1}{10000})}{0.996 \times (1-\frac{1}{10000})+0.012 \times \frac{1}{1000}}$

$P(D^c|A^c)=0.99999$

B)The probability that someone who tests negative does not have the disease is 0.99999

8 0

3 years ago

Find the slope of the line passing through the points (8,-6) and (1, -2).

Alik [6]

Step-by-step explanation:

The slope of the line is -4/7.

3 0

3 years ago

Read 2 more answers