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bagirrra123 [75]
2 years ago
11

What property is 87 times 3 equals 3 times 87?

Mathematics
2 answers:
zlopas [31]2 years ago
8 0
87 * 3 = 3 * 87

The property is Commutative Property.

It doesn't matter which comes first, the answer is the same.

87 * 3 = 261,        3 * 87 = 261
atroni [7]2 years ago
5 0
The property for 87x3=3x87 is known as commutative property of multiplication. 
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Logan and Jack collected 180 aluminium cans from the park. Jack collected twice as many aluminum cans as Logan. How many alumini
drek231 [11]
Answer
Logan collected= 180
Jack collecte twice as Logan =(180*2) = 360
Jack has 360 cans
6 0
3 years ago
According to a Washington Post-ABC News poll, 331 of 502 randomly selected U.S. adults interviewed said they would not be bother
k0ka [10]

Answer:

z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124  

p_v =P(z>7.124)=5.24x10^{-13}  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is significantly higher than 0.5.  

Step-by-step explanation:

Data given and notation

n=502 represent the random sample taken

X=331 represent the adults that said they would not be bothered if the NAtional security agency

\hat p=\frac{331}{502}=0.659 estimated proportion of people who would not be bothered if the NAtional security agency

p_o=0.5 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than the majority of 0.5:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>7.124)=5.24x10^{-13}  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is significantly higher than 0.5.  

4 0
3 years ago
Mrs. Simpson is frosting circular sugar cookies. Each cookie is 7 cm in diameter. How many square inches will she need to frost
Alexus [3.1K]

Answer:

51.92 square inches

Step-by-step explanation:

Area of a circle = (pi)(r^2)

if the diameter is 7, the radius is 3.5

A = 3.14 x 3.5

A = 10.99 cm^2 for one cookie

10.99 x 12 for a dozen = 131.88 cm^2

converting cm to inches, you divide by 2.54

131.88/2.54 = 51.92 square inches.

LMK if you have questions.

7 0
2 years ago
Evaluate the expression.<br> (-5)(5) +5=
Ierofanga [76]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-5)(5) +5  Equation

Step 2

(-5)(5) +5 Simplify

(-5)(5) +5

Step 3

(-5)(5) +5  Add and multiply them

(-25)+5

answer

-20

8 0
3 years ago
- 3(3s - 4) - 12 = - 3/6s + 1) - 4
s344n2d4d5 [400]

Answer:

s=-7/9

Step-by-step explanation:

-9s+12-12=-18s-3-4

-9s=-18s-7

9s=-7

s=-7/9

(if I understood the question correctly)

6 0
2 years ago
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