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
Andrej [43]
2 years ago
12

Your parents heard about the success of your business and they want to give you an additional $300 to put toward your business.

Mathematics
1 answer:
Harrizon [31]2 years ago
7 0

We want to write an inequality that reflects that you can spend between $150 and $450.

We will find the inequality:

450 ≥ 11*t + 18 ≥ 150

And solving this we have:

39.3  ≥ t  ≥ 12

Now let's see how to solve this problem.

So, we start with the inequality:

150 ≥ 11*t + 18.

I assume that:

11*t + 18

Is the amount you will spend, and 150 is the initial maximum amount that you can spend.

Now your parents give you $300, so the maximum goes from $150 to $450, and we also have a minimum of $150 (because the problem says it).

Then we write the inequality as:

450 ≥ 11*t + 18 ≥ 150

We can solve this for t:

450 - 18 ≥ 11*t  ≥ 150  - 18

432  ≥ 11*t  ≥  132

432/11  ≥ t  ≥ 132/11

39.3  ≥ t  ≥ 12

If you want to learn more, you can read:

brainly.com/question/20382422

You might be interested in
- 5+x=-8 how do solve this equation ​
zloy xaker [14]

Add 5 to both sides to get x alone and you will have your answer which is x= -3

5 0
3 years ago
Read 2 more answers
5(−3)+4=60−1(-5) help
melamori03 [73]
Use socratic it helppppssssss
3 0
2 years ago
How would you describe domain
irina [24]

Answer:

The domain represents the x-axis, more specifically, what is happening on the x-axis. So when looking at a graph, if you are asked to find the domain think about what the x-axis looks like. I put an image in to show you an example of what the domain would be for a parabola:

So on the left side of the x-axis, we can see that the line stretches out into negative infinity, so the domain would begin at negative infinity.

On the right side of the x-axis, the parabola also stretches into positive infinity, so here the domain would be (negative infinity, positive infinity), because it goes to both ends forever.

6 0
3 years ago
A study of long-distance phone calls made from General Electric's corporate headquarters in Fairfield, Connecticut, revealed the
Jet001 [13]

Answer:

a) 0.4332 = 43.32% of the calls last between 3.6 and 4.2 minutes

b) 0.0668 = 6.68% of the calls last more than 4.2 minutes

c) 0.0666 = 6.66% of the calls last between 4.2 and 5 minutes

d) 0.9330 = 93.30% of the calls last between 3 and 5 minutes

e) They last at least 4.3 minutes

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 3.6, \sigma = 0.4

(a) What fraction of the calls last between 3.6 and 4.2 minutes?

This is the pvalue of Z when X = 4.2 subtracted by the pvalue of Z when X = 3.6.

X = 4.2

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

Z = \frac{4.2 - 3.6}{0.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

X = 3.6

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

Z = \frac{3.6 - 3.6}{0.4}

Z = 0

Z = 0 has a pvalue of 0.5

0.9332 - 0.5 = 0.4332

0.4332 = 43.32% of the calls last between 3.6 and 4.2 minutes

(b) What fraction of the calls last more than 4.2 minutes?

This is 1 subtracted by the pvalue of Z when X = 4.2. So

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

Z = \frac{4.2 - 3.6}{0.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% of the calls last more than 4.2 minutes

(c) What fraction of the calls last between 4.2 and 5 minutes?

This is the pvalue of Z when X = 5 subtracted by the pvalue of Z when X = 4.2. So

X = 5

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

Z = \frac{5 - 3.6}{0.4}

Z = 3.5

Z = 3.5 has a pvalue of 0.9998

X = 4.2

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

Z = \frac{4.2 - 3.6}{0.4}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

0.9998 - 0.9332 = 0.0666

0.0666 = 6.66% of the calls last between 4.2 and 5 minutes

(d) What fraction of the calls last between 3 and 5 minutes?

This is the pvalue of Z when X = 5 subtracted by the pvalue of Z when X = 3.

X = 5

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

Z = \frac{5 - 3.6}{0.4}

Z = 3.5

Z = 3.5 has a pvalue of 0.9998

X = 3

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

Z = \frac{3 - 3.6}{0.4}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.9998 - 0.0668 = 0.9330

0.9330 = 93.30% of the calls last between 3 and 5 minutes

(e) As part of her report to the president, the director of communications would like to report the length of the longest (in duration) 4% of the calls. What is this time?

At least X minutes

X is the 100-4 = 96th percentile, which is found when Z has a pvalue of 0.96. So X when Z = 1.75.

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

1.75 = \frac{X - 3.6}{0.4}

X - 3.6 = 0.4*1.75

X = 4.3

They last at least 4.3 minutes

7 0
3 years ago
In 2010, a Quinnipiac University Poll and a CNN Poll each asked a nationwide sample about their views on openly gay men and wome
PilotLPTM [1.2K]

Answer:

Option B

Explanation:

Option A has the likelihood of getting greater percentage of gay Men and Women's response in the positive. hence, option B is slanted to get more negative response

6 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the equation.<br> 3/2y - 5 = -2
    10·2 answers
  • A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
    10·1 answer
  • Can someone read this Algebra help please
    14·2 answers
  • Find the vertex for the parabola given by the function ƒ(x) = −3x2 − 6x.
    7·1 answer
  • What is 3182 divided by 5??
    12·1 answer
  • Please help me!!!<br><br> Find the measure of angle x in the figure below:
    8·2 answers
  • Name this triangle by its angles and sides.
    10·1 answer
  • What percent of the values are between 10 and 30? Round to the nearest tenth of a percent if necessary.
    9·1 answer
  • Use the Pythagorean Theorem to find the hypotenuse.
    6·1 answer
  • At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!