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2 years ago

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Which of the following is the graph of y = StartRoot negative x minus 3 EndRoot? On a coordinate plane, an absolute value curve

opens up and to the right in quadrant 4. It starts at x = 3. On a coordinate plane, an absolute value curve opens down and to the left in quadrants 1 and 2. It starts at x = 3. On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2. It starts at x = negative 3. On a coordinate plane, an absolute value curve opens up and to the right in quadrants 3 and 4. It starts at x = negative 3.

1 answer:

MariettaO [177]2 years ago

8 0

Answer:

d

Step-by-step explanation:

just took the test

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Using approximations to 1 significant figure check that your answer to part a makes sense

natka813 [3]

Answer:

A significant figure is the first digit in a number that isn't zero. You round to this.

Step-by-step explanation:

E.g. 1959302 to 1 Sig Fig = 2000000

You round to the first figure that isn't zero, which is one

E.g 0.000001373 to 1 Sig Fig = 0.000001 because that 1 is the first digit that isn't zero

3 0

2 years ago

If the point (4,-1) is a point on the graph of f then f

AlekseyPX

If the point (4,-1) is a point on the graph of y = f(x). The corresponding point on the graph of y = g(x) is: (4,-1/2), (2,-1), (-1,-1), (1,4), (4,-4), (-12,1)

$g(x) = \frac{1}{2} f(x)$ => (4,-1/2)
$g(x) = f(x-2)$ => (2,-1)
$g(x) = f(-x)$ => (-1,-1)
$g(x) = f(4x)$ => (1,4)
$g(x) = 4f(x)$ => (4,-4)
$g(x) = -f(x)$ => (-12,1)

<h3>Further explanation </h3>

Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (-1) and divide it by 2 to get 2. Therefore, the new point is (4,-1/2)
Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (4) to get 2. Therefore, the new point is (2,-1)
Making the input of the function negative will multiply every x-value by 1. To get the new point, we will take the x-value (4) and multiply it by -1 to get. Therefore, the new point is (-1,-1)
Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (4) by 4 to get 1. Therefore, the new point is (1,4)
Multiplying the whole function by 4 increases all y-values by a factor of 4 , so the new y-value will be 4 times the original value (4) or -4. Therefore, the new point is (4,-4)
Multiplying the whole function by -1 also multiplies every y-value by -1, so the new y-value will be -1 times the original value (-1). or 1. Therefore, the new point is (-12,1)

<h3>Learn more</h3>

Learn more about corresponding point brainly.com/question/10218370
Learn more about point on the graph brainly.com/question/11297347
Learn more about the graph brainly.com/question/11534295

<h3>Answer details</h3>

Grade: 9

Subject: mathematics

Chapter: corresponding point

Keywords: corresponding point, the graph, point on the graph

3 0

2 years ago

Read 2 more answers

A hospital finds that 22% of its accounts are at least 1 month in arrears. A random sample of 425 accounts was taken. What is th

GenaCL600 [577]

Answer:

8.85% probability that fewer than 82 accounts in the sample were at least 1 month in arrears

Step-by-step explanation:

For each account, there are only two possible outcomes. Either they are at least 1 month in arrears, or they are not. The probability of an account being at least 1 month in arrears is independent from other accounts. So the binomial probability distribution is used to solve this question.

However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.22, n = 425$

So

$\mu = E(X) = np = 425*0.22 = 93.5$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{425*0.22*0.78} = 8.54$

What is the probability that fewer than 82 accounts in the sample were at least 1 month in arrears

This probability is the pvalue of Z when X = 82. So

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

$Z = \frac{82 - 93.5}{8.54}$

$Z = -1.35$

$Z = -1.35$ has a pvalue of 0.0885.

8.85% probability that fewer than 82 accounts in the sample were at least 1 month in arrears

8 0

2 years ago

The distribution of heights of a certain breed of terrier has a mean of 72 centimeters and a standard de- viation of 10 centimet

RSB [31]

Answer:

Pr(X-Y ≤ 44.2) = 0.5593

Step-by-step explanation:

for a certain breed of terrier

Mean(μ) = 72cm

Standard deviation (σ) = 10cm

n = 64

For a certain breed of poodle

Mean(μ) = 28cm

Standard deviation (σ) = 5cm

n = 100

Let X be the random variable for the height of a certain breed of terrier

Let Y be the random variable for the height of a certain breed of poodle

μx - μy = 72 -28

= 44

σx - σy = √(σx^2/nx + σy^2/ny)

= √10^2/64 + 5^2/100

= √100/64 + 25/100

= √ 1.8125

= 1.346

Using normal distribution,

Z= (X-Y- μx-y) / σx-y

Z= (44.2 - 44) / 1.346

Z= 0.2/1.346

Z= 0.1486

From the Z table, Z = 0.149 = 0.0593

Φ(z) = 0 0593

The probability that the difference of the observed sample mean is at most 44.3 is Pr(Z ≤ 44.2)

Recall that if Z is positive,

Pr(Z≤a) = 0.5 + Φ(z)

Pr(Z ≤ 44.2) = 0.5 + 0.0593

= 0.5593

Therefore,

Pr(X-Y ≤ 44.2) = 0.5593

5 0

1 year ago

The height of a cone-shaped container is 15 centimeters and its radius is 14 centimeters. Kate fills the container completely wi

lesantik [10]

The volume of the cone with radius r=14 cm and height h=15 cm is,
$V= \frac{1}{3} \pi r^2h = \frac{1}{3} \pi *14^2*15 = 3077.2~cm^3$

Each day 40 cm^3 is subtracted from the volume. So the volume of honey left after [d] number of days would be the starting volume minus 40 times number of days passed.
$V left=V start-40*d$
$V left = 3077.2 - 40d$

It asks when the volume will be empty, The volume left is zero after how many days?
$0 = 3077.2 - 40d$
d=76.93 days, or 80 days rounding to whole numbers.

7 0

1 year ago

Read 2 more answers