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zhenek [66]
3 years ago
8

Simplify this expression 3+2(2p+4t)+6+5p

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0
3+4p+8t+6+5p
9+9p+8t
......
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A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y
jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / \sqrt{p*(1-p) / n}

x = 0.1235 - 0.10 / \sqrt{0.10 * 0.90 / 527}

x = 0.0235 / \sqrt{0.09 / 527}

x = 0.0235 / \sqrt{0.00017077798}

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

7 0
3 years ago
The product of two consecutive positive integers is 29 more than their sum. Find the integers
Rina8888 [55]
The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5    then: (x+1)=-5+1=-4  This is not the solution.
x₂=(1+11)/2=6    then: (x+1)=6+1=7    This solution is right.

Answer: the numbers would be 6 and 7. 
7 0
3 years ago
Each leg of a triangle measures 12 cm what is the length of the hypotenuse
alexira [117]
The legs are 12 cm each, so the hypotenuse is√(144+144)=12√2☺☺☺☺
6 0
3 years ago
Wesley office had already recycled 37 kilograms this year before starting a new recycling plan, and the new plan will have the o
borishaifa [10]

Answer:

37 kilograms alr recycled this year

Plan:

1 kilogram each week

After 13 weeks he would of recycled 13 kilograms

37+13=50

In total his office wesley's have recycled 50 kilograms of paper

Hope this helps

8 0
3 years ago
James drives 585 miles from Raleigh to Cleveland Ohio on Friday and back on Sunday.If the trip takes him 18 hours total how many
creativ13 [48]

if Raleigh to Cleveland = 585 miles then Cleveland to Raleigh = 585 miles

585 miles + 585 miles = 1170 miles

1170 miles / 18 hours = 65 miles / hour

James drove 65 miles per hour.

4 0
3 years ago
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