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Alborosie
3 years ago
7

PLEASE HELP, 5 STARS!!!

Mathematics
2 answers:
notka56 [123]3 years ago
7 0

Answer:

option D

Step-by-step explanation:

Domain is the set of x values for which the function is defined

To find domain restriction first we simplify the given expression

Factor both numerator and denominator

\frac{y^2-3y-40}{y^2+9y+20}

y^2-3y-40=(y-8)(y+5)

y^2+9y+20=(y+4)(y+5)

Replace the factors in our expression

\frac{(y-8)(y+5)}{(y+4)(y+5)}

Both top and bottom have y+5, so we cancel it out

\frac{(y-8)}{(y+4)}

To find restriction for y , set the denominator =0 and solve for y

y+4=0

so y=-4

y=-4 makes the denominator 0

So, y not equal to -4

Grace [21]3 years ago
6 0
Y=-4 is one of your answers
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Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?
Kobotan [32]

9514 1404 393

Answer:

  156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

  A = 1/2bh + LW

  A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

  V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

8 0
3 years ago
A new Neighborhood Activity Complex is being built in Safe Harbor. The perimeter of the rectangular playing field is 486 yards.
siniylev [52]

Answer:

the two lengths= 194 each side

teh two widths= 49 on each side

194+194+49+49= 486

Step-by-step explanation:

486= 2l+2w

l=4w-2

486-2w=2l -divide that by 2

243-w=l

243-w=4w-2

245=5w -divide that by 5

49=w

l=4(49)-2

l=194

w=49

6 0
4 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
Four int variables, x1, x2, y1, and y2, have been declared and been given values. write an expression whose value is the differe
Katen [24]
Even though we are using variables, we still know that "difference" means subtraction. So, if the larger is x1 and x2, those variables go first. The smaller, y1 and y2 will go second. So our problem will look like this:

(x1 <  x2 ? x2 : x1) - (y1 < y2 ? y1 : y2)
7 0
3 years ago
7) Simplify:<br> (3x)2<br> 3x3
Vsevolod [243]

Answer:

3x3

Step-by-step explanation:

3=3

3x3(1)

1x2

2+1

answer 3x3

8 0
3 years ago
Read 2 more answers
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