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Leno4ka [110]
3 years ago
14

Please answer fast needed as soon as possible

Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

Option B

Step-by-step explanation:

Equation of the graph,

f(x) = x²

If the graph is translated 5 units to the right,

g(x) = f(x - 5)

Therefore, g(x) = (x - 5)²

If the function 'g' is translated 3 units up,

h(x) = g(x) + 3

Therefore, h(x) = (x - 5)² + 3

If the function 'h' is vertically compressed by a factor of \frac{2}{3},

Then the new function will be,

k(x) = \frac{2}{3}(x-5)^2+3

Option B will the correct option.

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The histogram shows the number of videos streamed by 20 students in one month TO Number of Students O Which of the following que
Verdich [7]

Answer:

Step-by-step explanation: its the second one bc

8 0
3 years ago
Read 2 more answers
A principal of $3500 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 13 years? Us
Anna71 [15]
The equation is for when you compound annually is
A=P(1+r)^t

A=future amount
P=initial amount or principal
r=interest rate in decimal form
t=time in years



so
A=A
P=3500
r=7.5%=0.075
t=13

A=3500(1+0.075)^{13}
A=3500(1.075)^{13}
use your calculator
A=8961.4457
round to nearest dollar
A=$8961

that's how much the investment will be worth after 13 years
7 0
4 years ago
One number is four more than twice another. Their sum<br> is 34. Find the numbers.
lianna [129]

x = 15

2x + 4 = 34

     -4     -4

<u>2x</u>       = <u>30</u>

2             2

X         = 15

5 0
4 years ago
I really think it’s B ...Help?
kvv77 [185]
The correct answer is c y-5=4(x-7)
7 0
3 years ago
The National Cancer Institute estimates that 3.65% of women in their 60s get breast cancer. A mammogram can typically identify c
masha68 [24]

Answer:

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: Having breast cancer.

3.65% of women in their 60s get breast cancer

This means that P(B) = 0.0365

A mammogram can typically identify correctly 85% of cancer cases

This means that P(A|B) = 0.85

Probability of a positive test.

85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

7 0
3 years ago
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