1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
maxonik [38]
3 years ago
15

Which of the following inequalities matches the graph? (1 point)

Mathematics
1 answer:
Komok [63]3 years ago
6 0

Answer:

<h2>x≤5</h2>

Step-by-step explanation:

The line is vertical, so it is <em>on x</em>

the line is on <em>x=5</em>

the line is whole so it is less or greater than and equal to

the shaded part is to the left, so it is less than

So, the inequality represented by the graph is x≤5

You might be interested in
Simplify: -2 (x - 5) + 6x
Ulleksa [173]

Answer:

4x +10

Step-by-step explanation:

-2(x-5) +6x

-2x +10 +6x

4x +10

4 0
3 years ago
Read 2 more answers
Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement
Alex Ar [27]

Answer:

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

Step-by-step explanation:

We use the binomial aproxiation to the normal to solve this question.

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 = 0.173, n = 120. So

\mu = E(X) = np = 120*0.173 = 20.76

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.173*0.827} = 4.14

In a random sample of 120 households, what is the probability that more than 20 households but fewer than 35 households receive a retirement income?

We are working with discrete values, so this is the pvalue of Z when X = 35-1 = 34 subtracted by the pvalue of Z when X = 20 + 1 = 21.

X = 34

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

Z = \frac{34 - 20.76}{4.14}

Z = 3.2

Z = 3.2 has a pvalue of 0.9993

X = 21

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

Z = \frac{21 - 20.76}{4.14}

Z = 0.06

Z = 0.06 has a pvalue of 0.5239

0.9993 - 0.5239 = 0.4754

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

6 0
3 years ago
Help me pls giving 25 points
ankoles [38]
The answer to this question is Letter B.
4 0
3 years ago
Read 2 more answers
What is the equation of the line that is parallel to the line y =-1\3
PilotLPTM [1.2K]

Hello!

If a you want to find an equation of the line that is parallel to the given line, we must know that if two lines are parallel, then their slope will <em>always</em> have to be equal.

This means that the new equation must have a slope of -1/3.

Also, you would need to substitute the given point (6, 8) into the equation with the slope: -1/3 as well. Following these steps allows you to find the equation of line.

y = -1/3x + b (6, 5)

5 = -1/3(6) + b

5 = -2 + b (add 2 to both sides)

7 = b

Therefore, the equation of the line is y = -1/3x + 7.

5 0
3 years ago
The area of a rectangle is 24 square cm. the length of the rectangle is 8 cm. find the perimeter
telo118 [61]
The perimeter is 22 cm

6 0
3 years ago
Other questions:
  • What is the value of x
    13·2 answers
  •  A hiker is walking down a mountain. She walked​ 5,978 feet in 17 minutes. In that​ time, she descended​ 1,024 feet from the top
    7·1 answer
  • Write a decimal expansion for 2/9. Chose the correct decimal notation.
    7·2 answers
  • Which graph is the line y=-2/5x+3?
    5·2 answers
  • DEF is a right triangle. <br><br> A. True <br> B. False
    10·2 answers
  • Which is the product?
    5·2 answers
  • Which of the following does not dissolve in water​
    12·1 answer
  • The perimeter of a semicircle is 46.26 meters. What is the semicircle's diameter?
    8·1 answer
  • when graphing a system of equations with "the same"or "different" in order to make the sentence a true statement ______________.
    9·1 answer
  • Hi- I need help please to get my HS diploma...did not graduate :(
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!