Simplify (t^2-25)/(t^2+8t+15)/(t-5/t+9)

The following polygons are similar. Find x

Ray Of Light [21]

is 750.000 is your answer.

5 0

3 years ago

George said if 2 and 4 are factors of a number, then 8 is a factor of the whole number. is he correct explain

Mamont248 [21]

He is correct and incorrect. 2 and 4 can create factors but they can also be factors of other numbers. So 8 can be a factor of bigger whole numbers and can also have it own smaller factors.

8 0

3 years ago

10.) This week, you worked shifts that were 6 hours, 5 hours,

dimaraw [331]

Answer:

The average would be 22.25

Step-by-step explanation:

Average = $\frac{sum}{count }$

6+5+74+4= 89

there are four numbers

$\frac{89}{4}$ =22.25

7 0

3 years ago

A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

8090 [49]

Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

First sample proportion

$p^{-} _{1} = \frac{65}{500} = 0.13$

Given second sample size n₂ = 700

Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.

second sample proportion

$p^{-} _{2} = \frac{133}{700} = 0.19$

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There is no significance difference between these proportions

Alternative Hypothesis :H₁: There is significance difference between these proportions

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165$

Q = 1 - P = 1 - 0.165 = 0.835

$Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }$

Z = -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

3 0

3 years ago

The shape below contains a rectangle and four semi-circles. What is the perimeter of the shape above? What is the area of the sh

Colt1911 [192]

Answer:

Step-by-step explanation:

lets find out the perimeter P

P rectangle= 2*L+2*W=(2*5)+(2*13)=10+26=36

P small semi-circle ( we have 2), where the d=5, r=2.5

Circumference small circle=2*3.14*r= 2*3.14*2.5=15.70

P 2 small circles=15.70*2=31.40

but we need just half of this, because we have semicircles=15.70

Circumference big semicircle (we have 2), where d=13, r=6.5

C big circle=2*3.14*6.5=40.82

Ps big circle=2*40.82=81.64

we need half of this also, so is 40.82

P total figure=36+15.70+40.82=92.52

Area rectangle=5*13=65

Area small circle, basically the 2 semicircle = 1 circle

Area=3.14*r^2=3.14*2.5^2=19.63

Area big circle=3.14*6.5^2=132.73

Area total figure=65+19.63+132.73=217.36

5 0

3 years ago