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Contact [7]
2 years ago
7

Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?

Mathematics
1 answer:
Ymorist [56]2 years ago
4 0

Answer:

the answer is the second number line

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Cherries cost $4.99 per pound. If Lacey buys 3.5 pounds, how much will she pay for the cherries?
Vladimir79 [104]
It would $17.47. if you times $4.99 by 3.5 pounds of cherries then your answer will be $17.47
4 0
3 years ago
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Jeanne has many nickels, dimes, and quarters in her wallet. She chooses 3 coins at random. What is the probability that all thre
Whitepunk [10]

Answer:

Step-by-step explanation:

There isn't enough said about the distribution of coins in her wallet, but we'll just assume that the number is so large that any coin is equally likely to be drawn.

Stated another way, there are 27 possible outcomes of the three draws (3 x 3 x 3) and we'll assume each is equally likely.

PROBLEM 1:

This is a conditional probability question. We only have to consider the cases where she could have drawn 2 quarters and another coin. The possible draws are:

DQQ, NQQ, QDQ, QNQ, QQD, QQN or QQQ*.

That's 7 possible draws (with equal probability) and only 1* of them is a draw with 3 quarters.

Answer:

P(three quarters given two are quarters) = 1/7

PROBLEM 2:

Again, this is conditional probability. To help count the ways, let's instead count the ways to *not* draw any dimes. That means you have 2 choices for the first coin, 2 choices for the second coin and 2 choices for the third coin.

So 8 out of the 27 draws would *not* contain a dime. By subtracting, we can see that 19 of the draws *would* contain at least one dime.

Now think of the ways to create a draw consisting of one of each coin. We have the 3 different coins and they can be drawn in any order. That would be 3! or 6 ways.

If that isn't clear, let's list them all out:

DDD, DDN, DDQ, DND, DNN, DNQ*, DQD, DQN*, DQQ, NDD, NDN, NDQ*, NND, NQD*, QDD, QDN*, QDQ, QND*, QQD

There are 19 possible outcomes with at least one dime and exactly 6 of them have one of each type.

P(all different given at least one is a dime) = 6/19

3 0
3 years ago
Which exoression has three terms when simplified
morpeh [17]

Answer:


Step-by-step explanation:


7 0
3 years ago
The point (4, –3) is on the terminal side of an angle in standard position. Determine the value of r, and the exact value of sin
viva [34]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

A (4 , -3)

r = ?

sin = ?

cos = ?

tan = ?

Process

1.- Plot the point

This point is in the fourth quadrangle

2.- Calculate r

We have the Opposite side and the Adjacent side

       tan Ф = -3/4

       tan⁻¹ Ф = Ф = 323.1

        Ф = 323.1°

3.- sinФ =

Calculate the hypotenuse

        c² = 4² + (-3)²

        c² = 16 + 9

        c² = 25

        c = 5

 sinФ = -3/5

cos Ф = 4/5

tan Ф = -3/4

7 0
3 years ago
There are 7 school buses taking students on a field trip. There are 37 students on each bus. How many students are going on the
Vedmedyk [2.9K]

There are 259 kids on all 7 buses.

6 0
3 years ago
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