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denis-greek [22]
3 years ago
6

Alex is decorating a circular cake. She wants to place a triangle with the longest possible side within the circle. The radius o

f the circle is 4.5 inches. What is the longest side of the triangle measure?
Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0
2 inches i think. jkjjjhgknhkngujnvv
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An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had
Stolb23 [73]

Answer:

Q1 z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the that means have no difference

Q2  CI 95 %  =  (  0,056 ;  0,164 )

Step-by-step explanation:

Sample information for people under 18

n₁  =  500

x₁ =  180

p₁  =  180/ 500    p₁  =  0,36    then  q₁  =  1 -  p₁     q₁ =  0,64

Sample information for people over 18

n₂  =  600

x₂  =  150

p₂  =  150 / 600   p₂ =  0,25   then   q₂  =  1 - p₂   q₂ =  1 - 0,25   q₂ = 0,75

Hypothesis Test

Null hypothesis                        H₀              p₁  =  p₂

Alternative Hypothesis           Hₐ              p₁  ≠  p₂

The alternative hypothesis indicates that the test is a two-tail test.

We will use the approximation to normal distribution of the binomial distribution according to the sizes of both samples.

Testin at CI =  95 %    significance level is  α = 5 %   α  =  0,05  and

α/ 2  =  0,025   z (c) for that α  is from z-table:

z(c) = 1,96

To calculate   z(s)

z(s)  =  ( p₁  -   p₂ ) / EED

EED = √(p₁*q₁)n₁  +  (p₂*q₂)/n₂

EED = √( 0,36*0.64)/500  +  (0,25*0,75)/600

EED = √0,00046  +  0,0003125

EED = 0,028

( p₁  -  p₂  )  =  0,36  -  0,25  = 0,11

Then

z(s)  =  0,11 / 0,028

z(s) = 3,93

Comparing  z(s) and  z (c)    z(s) > z(c)

z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the idea of equals means

Q2  CI  95 %   =  (  p₁  -  p₂  ) ±  z(c) * EED

CI 95%  =  ( 0,11   ±  1,96 * 0,028 )

CI 95%  = (  0,11  ±  0,054 )

CI 95 %  =  (  0,056 ;  0,164 )

8 0
2 years ago
The correct hand signal to indicate a right turn i
RoseWind [281]

Answer:

<em>D</em><em>)</em><em> </em><em>hand</em><em> </em><em>and</em><em> </em><em>arm</em><em> </em><em>extended </em><em>upward</em><em> </em><em>.</em><em>.</em><em>.</em>

<em>is</em><em> </em><em>your</em><em> </em><em>answer</em><em> </em>

<em>d</em><em>)</em><em> </em><em>hand</em><em> </em><em>and</em><em> </em><em>arm</em><em> </em><em>extended</em><em> </em><em>upward</em><em>.</em><em>.</em><em>.</em>

3 0
2 years ago
Read 2 more answers
Joshua’s computer loan statement said he would pay $1,244.34 in simple interest for a three-year loan at 12.4%. How much did Jos
rusak2 [61]

Answer: Josh borrowed $ 876  to buy the computer.

Step-by-step explanation:

Formula for simple interest : I = Prt

, where P = principal amount

r= rate of interest ( in decimal)

t=time (in years)

Total amount with simple interest to pay : A = P+I

⇒ A = P +Prt

⇒ A = P(1 +rt)         (i)

As per given , A = $1,244.34

r= 12.4% = 0.124

t= 3 years

Now, put these values in (i) , we get

1244.34=P(1+0.124)^3\\\\\Rightarrow\ 1244.34=P(1.124)^3\\\\\Rightarrow\ 1244.34=P(1.420034624)\\\\\Rightarrow\ P=\dfrac{1244.34}{1.420034624}\\\\\Rightarrow\ P=876.27

Hence, Josh borrowed $ 876  to buy the computer.

4 0
2 years ago
Plz help me it's confusing
Elanso [62]
The answer is 80 + n = 120

n = 40
8 0
2 years ago
Read 2 more answers
Y=-3/2x+15 ........................
lorasvet [3.4K]
What is the question? This is just a function.
8 0
3 years ago
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