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iogann1982 [59]
2 years ago
8

HEEEEELP which one is correct?

Mathematics
2 answers:
USPshnik [31]2 years ago
7 0

Answer:

Substitution

Step-by-step explanation:

Substitution would be favored of the methods because we are given the "value" of y (1/2x + 6 ) so we could easily substitute 1/2x + 6 for y into -2x + 4y = 24

Graphing could work but there is no need because we can easily substitute

Elimination is used when the constant of y and x in both equations are the same. no constant of x and y are the same in the context therefore elimination should not be used.

Nostrana [21]2 years ago
3 0

Answer:

Substitution

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Solve the inequality 3(x+2)>0
Goryan [66]
Distribute
3x+6>0

Subtract 6 from both sides
3x>-6

Divide both sides by 3
x>-2

Final answer: x>-2
4 0
3 years ago
Determine the GCF of 14, 15, and 21
N76 [4]
Factor all 3 numbers
14  = 2 * 7
15 = 3 * 5
21 = 3 * 7

There are no common factors in all 3 numbers

Answer No GCF.

Though i guess you could say 1 is the GCF.
7 0
3 years ago
A bag contains 42 red, 45
AlexFokin [52]

Answer:

31

Step-by-step explanation:

First of,

or, in probability is subtraction and not means you shouldn't use green (therefore leaving you with yellow and red)

Red = 42

Yellow = 20

P(Yellow or Not Green) = \frac{R+Y}{2}

⁘ \frac{42+20}{2} = \frac{62}{2}

Hence, 31

7 0
1 year ago
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a stand
julsineya [31]

Answer:

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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.

Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.

In this problem:

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so \mu = 7, \sigma = 3.

We need to find the probability that it takes less than one minute to find a parking space.

So we need to find the pvalue of Z when X = 1

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

Z = \frac{1 - 7}{3}

Z = -2

Z = -2 has a pvalue of 0.0228.

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

5 0
3 years ago
1. 72% of the students in Math 6 at AZVA are currently passing mastering their lessons. If 324 students are currently mastering
Alexeev081 [22]

Answer:

<u>1. a. 72/100 = 324/x</u>

<u>72x = 32,400</u>

<u>b. 450 students are in Math 6</u>

<u>2. a. o = 3b</u>

<u>b. o = 3 pounds</u>

<u>3. a. Most popular animals:</u>

<u>A. Dogs - 67%</u>

<u>B. Cats - 20%</u>

<u>C. Other - 8%</u>

<u>D. None - 4%</u>

<u>E. Horses - 1%</u>

<u>b.  20 students</u>

<u>c. If 75 students have cats, the estimate of 250 students isn't correct.</u>

<u>The actual number of students interviewed is 375.</u>

Step-by-step explanation:

1. a. Let's use the following equation to solve the question:

x = Students that are in Math 6

72/100 = 324/x

72 * x = 324 * 100

72x = 32,400

b. Let's solve the equation, as follows:

x = 32,400/72

x = 450

<u>450 students are in Math 6</u>

2. a. The equation is:

o = 0.15 *20b

<u>o = 3b</u>

where, o = weight of oats in pounds and b = number of dog food bags

b. Let's find out the weight of the oats in one dog food bag, using our equation:

o = 0.15 *20b

o = 0.15 *20 * 1

<u>o = 3 pounds</u>

3. a. Most popular animals:

A. Dogs - 67%

B. Cats - 20%

C. Other - 8%

D. None - 4%

E. Horses - 1%

b. If 250 students were interviewed, the 8% who answered "other" are:

8% of 250 = 0.08 * 250 = <u>20 students</u>

c. If 75 students have cats, the estimate of 250 students isn't correct.

The 20% of 250 is 50, not 75.

0.2 * 250 = 50

The actual number of students interviewed is:

x = Actual number of students interviewed

75/x = 20/100

20x = 7,500

x = 7,500/20

x = 375

<u>The actual number of students interviewed is 375.</u>

3 0
2 years ago
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