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Snowcat [4.5K]
3 years ago
11

Complete this statement: 45ax2 + 27ax + 18a = 9a(

Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

9 a (5 x^2 + 3 x + 2)

Step-by-step explanation:

Simplify the following:

45 a x^2 + 27 a x + 18 a

Factor 9 a out of 45 a x^2 + 27 a x + 18 a:

Answer: 9 a (5 x^2 + 3 x + 2)

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A pet shelter 42 kittens for adoption at the beginning of the week by the end of the week there were 21 kittens left find the pe
scoundrel [369]

Answer:

50% decrease

Step-by-step explanation:

50% = half

half of 42 is 21

there are 21 left, so 21 (which is half or 50%) were adopted

7 0
2 years ago
Help!!! On a piece of paper graph then determine which answer choice matches the graph you drew
Brilliant_brown [7]

Answer:

C

Step-by-step explanation:

You read piece wise as

2 turns on at x = -5, then turns off at x = - 1 and so on

3 0
3 years ago
PLEASE ANSWER QUICKLY
ivolga24 [154]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
What is the surface area of a cube with a side of length 14 meters?
Yanka [14]
Area of a cube=6(side)²
area of a cube=6*(14 m)²=6*196 m²=1176 m²

Answer: 1176 m²
8 0
3 years ago
Read 2 more answers
There were 2430 Major League Baseball games played in 2009, and the home team won the game in 53% of the games. If we consider t
Ivahew [28]

Answer:

z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958  

p_v =P(Z>2.958)=0.0015  

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 is significantly higher than 0.5 .  

Step-by-step explanation:

1) Data given and notation  

n=2430 represent the random sample taken

\hat p=0.53 estimated proportion when the home team won the game

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the proportion is higher than 0.5 or 50%:  

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.

3) Calculate the statistic  

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

z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{2430}}}=2.958  

4) 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=0.05. 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>2.958)=0.0015  

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 is significantly higher than 0.5 .  

8 0
3 years ago
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