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
andrezito [222]
3 years ago
13

You need at least 15 pencils or markers. You want to spend at most $14 on pencils and markers. Pencils p are $0.85 each and mark

ers m are $1.45 each. Which system of inequalities models the situation?
Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

.85p + 1.45m <= 14

Step-by-step explanation:

You don't want to spend more than 14, but you can spend 14. So the inequality must be less than or equal to. To find the combination of pencils and markers you must multiply their price times the number of pencils. Sorry if this explanation isn't amazing, I know how to do work but not explain my reasoning. :)

You might be interested in
Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20
mart [117]

Answer:

qw567

Step-by-step explanation:

8 0
3 years ago
Determine the intercepts of the line.
Damm [24]
Y int.: (0,-1.2)
X int.: (-0.7,0)
6 0
3 years ago
The following table shows a portion of a four-year amortization schedule. A 4-year amortization schedule. The loan amount or pri
yKpoI14uk [10]

Answer:

  • Option c. $ 9,543.97

Explanation:

The row for month 25 shows that after <em>twenty-five payments</em> <u>the balance of the loan is  $10,356.03</u>

You are told that the<em> loan amount or principal is $ 19,900</em>.

From those two data, you can calculate <em>how much of the principal has been paid off after </em>25 months, because the amount paid off is equal to the loan less the balance after 25 payments:

  • Principal paid off = $ 19,900 - $ 10,356.03 = $9,543.97
8 0
3 years ago
It is estimated that 75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell
Mademuasel [1]

Answer:

a) 75

b) 4.33

c) 0.75

d) 3.2 \times 10^{-13} probability that no one in a simple random sample of 100 young adults owns a landline

e) 6.2 \times 10^{-61} probability that everyone in a simple random sample of 100 young adults owns a landline.

f) Binomial, with n = 100, p = 0.75

g) 4.5 \times 10^{-8} probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

Step-by-step explanation:

For each young adult, there are only two possible outcomes. Either they do not own a landline, or they do. The probability of an young adult not having a landline is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

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)}

75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell phone at home.

This means that p = 0.75

(a) On average, how many young adults do not own a landline in a random sample of 100?

Sample of 100, so n = 100

E(X) = np = 100(0.75) = 75

(b) What is the standard deviation of probability of young adults who do not own a landline in a simple random sample of 100?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100(0.75)(0.25)} = 4.33

(c) What is the proportion of young adults who do not own a landline?

The estimation, of 75% = 0.75.

(d) What is the probability that no one in a simple random sample of 100 young adults owns a landline?

This is P(X = 100), that is, all do not own. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 100) = C_{100,100}.(0.75)^{100}.(0.25)^{0} = 3.2 \times 10^{-13}

3.2 \times 10^{-13} probability that no one in a simple random sample of 100 young adults owns a landline.

(e) What is the probability that everyone in a simple random sample of 100 young adults owns a landline?

This is P(X = 0), that is, all own. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.75)^{0}.(0.25)^{100} = 6.2 \times 10^{-61}

6.2 \times 10^{-61} probability that everyone in a simple random sample of 100 young adults owns a landline.

(f) What is the distribution of the number of young adults in a sample of 100 who do not own a landline?

Binomial, with n = 100, p = 0.75

(g) What is the probability that exactly half the young adults in a simple random sample of 100 do not own a landline?

This is P(X = 50). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 50) = C_{100,50}.(0.75)^{50}.(0.25)^{50} = 4.5 \times 10^{-8}

4.5 \times 10^{-8} probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

8 0
2 years ago
When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. U
xxMikexx [17]
3                       x
---------= --------- ---------
15                 180

15x=540
-----   ------= 36 students. 
15       15

Steps: Cross multiply to get 15x and 540. Divide both numbers by 15, then you found what x equals, which is the answer. 
4 0
3 years ago
Other questions:
  • Based on the tax brackets, what’s the estimated total tax due for a single taxpayer with a taxable income of $43,500?
    6·1 answer
  • What is the area of the figure shown below?
    11·1 answer
  • Two six-sided dice are rolled. Find the probability that the sum of the two faces that turn up is between 1 and 14.
    12·1 answer
  • -2/9-(-3)<br> How do you solve it
    6·1 answer
  • Find the difference. The answer should be in simplest form.<br><br> −2/3 − 1/3 =
    9·1 answer
  • Convert 8.4 hours to hours and minutes
    11·1 answer
  • What is the recursive formula for this geometric sequence 2, -10, 50, -250
    13·2 answers
  • Does the table represent a proportional relationship? Show your work!
    15·1 answer
  • #2) Can the sides of a triangle have the lengths 1, 3, 1? *<br> O Yes<br> O No
    14·1 answer
  • Need ASAP BEFORE 10:30PM
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!