How many solutions does the equation −2a + 2a + 7 = 8 have?

John sold 38 papers in 2 hours. How many papers would he probably sell in 3 hours?

Genrish500 [490]

He would sell 57 papers in 3 hours.

38÷2= 19

So 19 papers in one hour.

19×3= 57

Hope this helps! :)

\(^ ◇^)/

7 0

3 years ago

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You buy pounds of trail mix. The mix costs $ per pound. What is the total price for the trail mix?

telo118 [61]

Complete question :

You buy 3.9 pounds of trail mix. The mix costs $2.99 per pound. What is the total price for the trail mix?

Answer:

$11.661

Step-by-step explanation:

Given that :

Cost per pound of trail mix = $2.99

Pounds of trail mix purchased = 3.9 pounds

Total price of the trail mix :

(Cost per pound of trail mix * pounds of trail mix purchased)

($2.99 * 3.9 pounds)

= $11.661

7 0

3 years ago

What's the square root of -45? a) -9√5 b) 9i√5 c) -3√5 d) 3i√5

Verdich [7]

Answer:

c

Step-by-step explanation:

3 0

3 years ago

About 11% of adult Americans are left-handed. Suppose that two people are randomly selected from this

marshall27 [118]

Answer:

a) $P(X=0)=(2C0)(0.11)^0 (1-0.11)^{2-0}=0.7921$

$P(X=1)=(2C1)(0.11)^1 (1-0.11)^{2-1}=0.1958$

$P(X=2)=(2C2)(0.11)^2 (1-0.11)^{2-2}=0.0121$

And then we have our probability distribution like this:

X | 0 | 1 | 2 |

P(X) | 0.7921 | 0.1958 | 0.0121|

b) $P(X \geq 1) = P(X=1)+P(X=2) = 0.1958+0.0121=0.2079$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=20, p=0.48)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution for the problem

Part a

On this case since we select a sample size of n =2 we have the following values for the number of left handed X=0,1,2. We can find the probabilities for each case since we know that p=0.11.

$P(X=0)=(2C0)(0.11)^0 (1-0.11)^{2-0}=0.7921$

$P(X=1)=(2C1)(0.11)^1 (1-0.11)^{2-1}=0.1958$

$P(X=2)=(2C2)(0.11)^2 (1-0.11)^{2-2}=0.0121$

And then we have our probability distribution like this:

X | 0 | 1 | 2 |

P(X) | 0.7921 | 0.1958 | 0.0121|

Part b

For this case we want this probability:

$P(X \geq 1) = P(X=1)+P(X=2) = 0.1958+0.0121=0.2079$

8 0

3 years ago

Solve the multi-step equation and place the steps in the correct order. 3x - 6 + 4 = -20

baherus [9]

3x-6+4=-20

- add 6 to both sides

3x+4=-20 +6

3x+4=-14

- then subtract 4 from both sides

3x=-14 - 4

3x=-18

- then divide 3 from both sides

-18 divided by 3 = -6

x= -6

8 0

4 years ago

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