Someone plz help (20 points)

What would be the answer of 5(x-2)=30 in dustributive property

lisabon 2012 [21]

Answer:

x = 8

Step-by-step explanation:

5(x-2)=30

Distribute

5x- 10 = 30

Add 10 to each side

5x-10+10 = 30+10

5x= 40

Divide by 5

5x/5=40/5

x = 8

3 0

2 years ago

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Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4-x and y = 2x + 3 intersect are the s

ale4655 [162]

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4-x and y = 2x + 3 intersect are the solutions of the equation 4-x = 2x + 3.

Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.

Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.

x values 4 -x    2x + 3

-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6    2(-2)+3 =-1
-1 4-(-1)=5 2(-1)+3 = 1
0 4-0=4 2(0)+3 = 3
1 4-1=3    2(1)+3=5
2 4-2=2 2(2)+3 = 7
3    4-3=1    2(3)+3 = 9

The the solution is between x = 0 and x =1

Part C: How can you solve the equation 4-x = 2x + 3 graphically?

Draw in a same graph both functions y= 4 - x and y = 2x +3.

Then read the x-coordinates of the intersection point. That is the solution.

3 0

3 years ago

In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women w

kompoz [17]

Answer:

c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.

Step-by-step explanation:

The difference in mean birth weights (nonsmokers minus smokers) is 281.7 grams with a margin of error of 205.2 grams with 95% confidence.

Then, we know that the 95% confidence interval is (76.5, 486.9)

$LL=M-MOE=281.7-205.2=76.5\\\\UL=M-MOE=281.7+205.2=486.9$

a. We are 95% confident that smoking causes lower birth weights by an average of between 76.5 grams to 486.9 grams.

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

b. There is a 95% chance that if a woman smokes during pregnancy her baby will weigh between 76.5 grams to 486.9 grams less than if she did not smoke.

False, it interprets the confidence interval as a probability for individual cases. The confidence interval is a range for the population mean.

c. Smoking is associated with lower birth weights. When smokers are compared to nonsmokers, we are 95% confident that the mean weight of babies born to nonsmokers will be between 76.5 grams to 486.9 grams more than the mean birth weight of babies born to smokers.

True.

d. With such a large margin of error, this study does not suggest that there is a difference in mean birth weights when we compare smokers to nonsmokers.

There is enough evidence, as the lower bound of the confidence is positive. This means that there is only a probability of 0.05/2=0.025 that the true mean weight difference is smaller than 76.5 grams.

6 0

3 years ago

How do you write a real world scenario using equations

olga2289 [7]

Answer:

You will need an unknown value at first. Let that value be X.

Step-by-step explanation:

So let's say that Sandra earns 5 dollars per hour and already has 30 dollars. Now lets use this form

y-mx+b(Easy way to write one)

y=5x+30

X Is Number of hours while y is the money gained

6 0

2 years ago

If Marie has twice as much money as Tim,who has three times as much as William, what is the ratio of the amount of money William

Goryan [66]

The answer is B) 1:6. If William has $1, Tim has 3 times as much, which means Tim has $3. Marie has 2 times as much as Tim which means she has $6. The ratio would be 1:6 William Marie.

5 0

2 years ago

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