All categories

3 years ago

Select the correct answer.

Mathematics

1 answer:

mel-nik [20]3 years ago

6 0

Answer:

g(f(-1)) = 48

Step-by-step explanation:

given the following

f(x) = 5x² + 2

g(x) = x²-1

g(f(x)) = g(5x²+2)

Replace x with 5x² + 2 in g(x) as shown;

g(5x²+2) = (5x²+2))²- 1

g(f(x)) = (5x²+2))²- 1

g(f(-1)) = (5(-1)²+2))²- 1

g(f(-1)) = (5+2))²- 1

g(f(-1)) = (7)²- 1

g(f(-1)) = 49 - 1

g(f(-1)) = 48

You might be interested in

The mean for a data set is 60. The Z-score for

Vladimir [108]

Answer:

D. a = 60 and b = 58.8

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Z-score for data point a is 0.

This means that a is the mean, that is, a = 60.

The z-score for data point b is -0.4.

This means that b must be a value below the mean, that is, a value below 60.

The option that satisfies a = 60 and b < 60 is option D, which is the answer.

7 0

2 years ago

What is 2 + -5 - -13

rosijanka [135]

Answer:

10.

The answer is 10.

5 0

3 years ago

Read 2 more answers

match the steps to find the equation of the parabola with focus (-1, -8.75) and directrix y = - 9.25.

choli [55]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistant from S and d

Focus S=(-1,2), d:x-5=0]

5 0

2 years ago

An algebraic expression that contains three terms is called?

statuscvo [17]

Answer:

Trinomial is the correct answer

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

5 0

2 years ago

A certain medical test is known to detect 73% of the people who are afflicted with the disease Y. If 10 people with the disease

Setler [38]

The probability of an event is the measurement of the chance of that event's occurrence. The probabilities of considered events are:

P(At least 8 have the disease) ≈ 0.4378
P(At most 4 have the disease) ≈ 0.0342

<h3 /><h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials. Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

X = B(n,p)

The probability that out of n trials, there'd be x successes is given by

P(X=x) = $^nC_xp^x(1-p)^{n-x}$

Since 10 people can be either diseased or not and they be so independent of each other (assuming them to be selected randomly) , thus, we can take them being diseased or not as outputs of 10 independent Bernoulli trials.

Let we say

Success= Probability of a diseased person tagged as diseased by the clinic

Failure = Probability of a diseased person tagged as not diseased by the clinic.

Then,

P(Success) = p = 72% = 0.72 (of a single person)

P(Failure) = q = 1-p = 0.28

Let X be the number of people diagnosed diseased by the clinic out of 10 diseased people. Then we have: X ≈ B(n+10,P=0.73)

Calculating the needed probabilities, we get:

a) P(At leased 8 have disease) = P(X≥8) =P(X=8) + P(X=9) + P(X=10)

P(X≥8) = $^{10}C_8(0.73)^8(0.28)^2+^{10}C_9(0.73)^9(0.27)^1+^{10}C_{10}(0.73)^{10}(0.27)^0$

P(X≥8) ≈ 0.2548 + 0.1456 + 0.0374 ≈ 0.4378

b) P(At most 4 have the disease) = P(X≤4) = P(X=0) + P(X=1)+P(X=2)+P(X=3)+P(X=4)

P (X ≤ 4) =

$^{10}C_0(0.73)^0(0.27)^{10}+^{10}{C_1(0.73)^1(0.27)^9+^{10}{C_2(0.73)^2(0.27)^8+^{10}C_3(0.73)&^3(0.27)^7 \\$

$+^{10}C_4(0.73)^4(0.27)^6$

P (X ≤ 4) = 0.000003 + 0.000076+0.00088+0.00604+0.02719

P (X ≤ 4) = 0.0342

Thus,

The probabilities of considered events are:

P(At leased 8 have disease) = 0.4378 approx
P(At most 4 have the disease) = 0.0342 approx

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

4 0

2 years ago