Ask question

Ask question

All categories

pickupchik [31]

2 years ago

12

A dollar store sells items for $1 and $2. You plan to go there and spend at least $20. Let x stand for the number of one-dollar

items and let y stand for the number of two-dollar items. Write and graph a linear inequality that models the situation.

1 answer:

Eduardwww [97]2 years ago

8 0

Answer:

x * 10 + y *5

Step-by-step explanation:

You might be interested in

At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for revie

labwork [276]

Answer:

a. E(X) = 54.4

b. E(X) = 2.5

c. P(Y=2) = .0116

Step-by-step explanation:

a.

E(X) = np = .40 probability * 136 trials = 54.4 blocked transmissions

To get the expected value, we simply multiply probability times number of trials. You can look at it in simple terms by thinking if there's a 50% chance of flipping heads and you flip a coin twice, in an ideal world you will have .5*2 = 1 head.

b.

i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one. We will use a geometric distribution to model the "first" transmission. Whenever we're looking for the "first" time something happens, we use geometric.

ii. E(X) = 1/p , according to the geometric model.

= 1/.4 = 2.5.

We expect that the specialist will review 2.5 suspicious transactions <em>on average </em>before finding the first transmission that will be blocked.

c.

i. Let Y represent the exact number of blocked transmissions out of 10. We will use a binomial distribution to model the "fixed" number of transmissions. Whenever we're looking for a "fixed" number of times something happens, we use binomial.

ii. P(Y=k) = (n choose k)(p^k)(q^n-k)

P(Y=2) = (¹⁰₂)(.4^2)(.6^10-2)

= 45 (.4^2)(.6^10-2) = .0016

As for calculator notation, the n choose k can be accessed on a TI-84 via MATH -> PRB -> nCr. It looks like 10 nCr 2 on the display.

Hence the probability that two transactions out of ten will be blocked is .0016 by the binomial model.

5 0

2 years ago

Whole numbers greater than 10 but less than 20

hichkok12 [17]

11, 12, 13, 14, 15, 16, 17, 18, 19 Sorry if it doesn't help, I'm being too obvious

4 0

1 year ago

Read 2 more answers

In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba

amm1812

Answer:

<em>X ball bearings will be made in 1 hour and 20 minutes</em>

Step-by-step explanation:

<u>Proportions </u>

The proportions give us an important tool to easily solve common problems of any type. We know that:

Company ABC can make X ball bearings in 3 hours.

Company DEF can make X ball bearings in 4 hours.

Company GHI can make X ball bearings in 6 hours.

In one hour, each company can make

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

Working together, they can make

$\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}$

ball bearings. Operating

$\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}$

If they can make 3/4 of a ball bearing in one hour, then one complete ball bearing will need

$\displaystyle \frac{4}{3}$ hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes

X ball bearings will be made in 1 hour and 20 minutes

8 0

2 years ago

Which is closest to the quotient 2,967 ÷ 0.003?

rodikova [14]

Answer:

989000

Step-by-step explanation:

Divide 2,967 ÷ 0.003

7 0

2 years ago

A mouse traveled a total distance of 3/24 of a mile in a maze over the past three hours the mouse travel the same distance each

alexgriva [62]

Answer:

Total distance mouse traveled in 3 hours = $\frac{3}{24}$ of a mile

The mouse traveled the same distance in each hour. So in order to find the distance covered in 1 hour we have to divide the distance covered in 3 hours by 3. This will give us the distance that the mouse traveled in one hour.

So, the distance traveled in one hour will be = $\frac{3}{24} \div 3 = \frac{3}{24} \times \frac{1}{3} =\frac{1}{24}$ of a mile

The error which Matt made was that he divided only the denominator of the expression by 3, this probably was a calculation error.

Correct conclusion will be: Mouse travel 1/24 of a mile each hour

8 0

2 years ago