Which of the following correctly displays 1/2 r - t

Answer:

6.

Step-by-step explanation:

Since the y-value is the same, the two points make a horizontal line. You can think of it as a number line, where the first point is at -4 and the second is at 2. So, the distance between -4 and 2 is 6.

Answer:

1/7

Step-by-step explanation:

If a bag contains 10 white marbles, 5 green marbles, 6 yellow marbles and two marbles are drawn at random, the probability of picking a white marble and then a yellow marble means a white marble was picked first and then followed by yellow marble.

Note that the white marble that was picked first was not replaced. This is a probability question without replacement.

Probability of an event = possible outcome of event/Total outcome of event

Total outcome = total number of marbles = 10+5+6 = 21marbles

If a white marble is selected first, the probability of selecting a white marble will be 10/21.

Since the white ball wasn't replaced, the new total number of marbles will become 21-1 = 20marbles

If yellow marble was then selected out of this 20 marbles remaining, the probability of selecting the yellow marble will be 6/20 {since there are 6yellow marbles}

The probability of drawing a white marble and then a yellow marble will then give us;

10/21×6/20

= 60/420

= 6/42

= 1/7(in its simplified form)

Answer:

Step-by-step explanation:

Given

Required

In functions;

Substitute in

Solving for

If

then

Open Bracket

Recall that:

This implies that

Answer:

D

Step-by-step explanation:

if AB is congruent to AC that means both are 76 degrees so subtract that from the total degrees of a whole triangle which is 180 that gives you A which is 28.

Hope it helps :)

The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.

What is the inverse function?

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by the swapping of x with y and y with x.

The quadratic function is given below.

f(x) = (2x + 1)²

Then the inverse of the quadratic function will be

x = (2f⁻¹(x) + 1)²

2f⁻¹(x) + 1 = √x

2f⁻¹(x) = √x - 1

f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0

The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.

More about the inverse function is given below.

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Answer:

Step-by-step explanation:

Theres the inverse

Using the normal distribution, it is found that:

a) There is a 0.947 = 94.7% probability that a randomly selected bag contains between 1000 and 1500 chocolate​ chips, inclusive.

b) There is a 0.0392 = 3.92% probability that a randomly selected bag contains fewer than 1025 chocolate​ chips.

c) 0.3446 = 34.46% of bags contains more than 1200 chocolate​ chips.

d) The bag is in the 91st percentile.

In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:

• It 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, which is the percentile of X.

In this problem:

• Mean of 1252 chips, thus .
• Standard deviation of 129 chips, thus .

Item a:

The probability is the p-value of Z when X = 1500 subtracted by the p-value of Z when X = 1000, thus:

X = 1500:

has a p-value of 0.9726.

X = 1000:

has a p-value of 0.0256.

Then, 0.9726 - 0.0256 = 0.947

There is a 0.947 = 94.7% probability that a randomly selected bag contains between 1000 and 1500 chocolate​ chips, inclusive.

Item b:

This probability is the p-value of Z when X = 1025, thus:

has a p-value of 0.0392.

There is a 0.0392 = 3.92% probability that a randomly selected bag contains fewer than 1025 chocolate​ chips.

Item c:

This proportion is 1 subtracted by the p-value of Z when X = 1200, thus:

has a p-value of 0.3446.

0.3446 = 34.46% of bags contains more than 1200 chocolate​ chips.

Item d:

This percentile is the p-value of Z when X = 1425, thus:

has a p-value of 0.91.

The bag is in the 91st percentile.

A similar problem is given at brainly.com/question/13680644

Final answer:

The probability and percentiles can be found using the z-score formula and then looking these z-scores up in the standard normal distribution table.

Explanation:

In this question, we're dealing with a normal distribution. For a normal distribution, probabilities can be calculated using the z-score formula which is given by Z = (X - μ) / σ, where X is the value from which you want to find the probability, μ is the mean and σ is the standard deviation.

(a) To find the probability that a randomly selected bag has between 1000 and 1500 chocolate chips, we need to find the z-scores for both 1000 and 1500 and then find the area between these two z-scores in the standard normal distribution table.  (b) To find the probability that a randomly selected bag has less than 1025 chips, we find the z-score for 1025 and find the area to the left of it in the standard normal distribution table. (c) To find the proportion of bags containing more than 1200 chips, we find the z-score for 1200 and then find the area to the right of it in the standard normal distribution table. (d) Percentile rank can be found by finding the z-score for 1425 chips, and then finding the corresponding percentile in the standard normal distribution table.

Learn more about Normal Distribution here:

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