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vivado [14]
3 years ago
13

A researcher wants to know if the average time in jail for robbery has increased from what it was several years ago when the ave

rage sentence was 7 years. He obtains data on 400 recent robberies and finds an average time served of 7.5 years. If we assume the standard deviation is 3 years, perform a significance test (calculating the P-value) at the 0.05 level.
Mathematics
1 answer:
Fynjy0 [20]3 years ago
3 0

Answer:

So, the interval is : (7.206,7.794)

Step-by-step explanation:

The mean μ = 7.5

Standard deviation σ=3

n = 400

At 95% confidence interval, the z score is 1.96

7.5+1.96(\frac{3}{\sqrt{400} } )

And 7.5-1.96(\frac{3}{\sqrt{400} } )

7.5+0.294 and 7.5-0.294

So, the interval is : (7.206,7.794)

You might be interested in
A circle has a radius of 6 feet. Calculate the area of the<br> sector formed by a central 30° angle
Tems11 [23]

Answer:

The area of the sector is 9.43 ft^2

Step-by-step explanation:

Here, we want to find the area of the sector with a central angle of 30 degrees

To do this, we use the formula below;

Area of sector = theta/360 * pi * r^2

theta = central angle = 30 degrees

r = radius = 6 ft

Thus, we have it that;

Area of sector = 30/360 * pi * 6^2

= 30/10 * pi = 3 * 3.142 = 9.43 ft^2

6 0
3 years ago
Solve each proportion.<br> 2/4=4/p-3<br>pls help​
eduard

Answer:

p=\frac{8}{7}

Step-by-step explanation:

\frac{2}{4} = \frac{4}{p} - 3

\frac{1}{2} = \frac{4}{p} - 3 (simplify)

\frac{1}{2}+3 = \frac{4}{p} - 3+3

\frac{1}{2}+3 = \frac{4}{p} (Add 3 to both sides)

\frac{7}{2}= \frac{4}{p} (simplify)

\frac{7}{2}p= \frac{4}{p}*p

\frac{7p}{2}=4 (Multiply both sides by p)

\frac{7p}{2}*2=4*2

7p=8 (Multiply both sides by 2)

\frac{7p}{7}=\frac{8}{7}

p=\frac{8}{7} (Divide both sides by 7)

7 0
3 years ago
*Silly and/or spam answers will not be tolerated*
stepladder [879]

Answer:

-1/8

Step-by-step explanation:

lim x approaches -6     (sqrt( 10-x) -4) / (x+6)

Rationalize

   (sqrt( 10-x) -4)      (sqrt( 10-x) +4)

    ------------------- * -------------------

       (x+6)                 (sqrt( 10-x) +4)

We know ( a-b) (a+b) = a^2 -b^2

a= ( sqrt(10-x)   b = 4    

(10-x) -16

-------------------

(x+6) (sqrt( 10-x) +4)    

-6-x

-------------------

(x+6) (sqrt( 10-x) +4)

Factor out -1 from the numerator

-1( x+6)

-------------------

(x+6) (sqrt( 10-x) +4)

Cancel x+6 from the numerator and denominator

-1

-------------------

(sqrt( 10-x) +4)

Now take the limit

lim x approaches -6    -1/ (sqrt( 10-x) +4)

                                      -1/ (sqrt( 10- -6) +4)

                                      -1/ (sqrt(16) +4)

                                      -1 /( 4+4)

                                        -1/8

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bcot%20%5Calpha%20%7D%7B1%20%2B%20cot%20%5Calpha%20%7D%20%20%3D%20%20%5Cfrac%7B1%7
strojnjashka [21]
Im not sure what its asking.. whats the question?
8 0
2 years ago
Use the Law of Sines to find the missing angle of the triangle. Find m&lt;b to the nearest tenth.
defon
1. By the Law of Sines, you have:

 SinA/a=SinB/b=SinC/c

  2. You don't need the fraction SinC/c, so you can eliminate it. Then:

 SinA/a=SinB/b

 A=40°
 a=19
 B=m∠b
 b=13

 3. When you substitute this values into SinA/a=SinB/b, you obtain:

 SinA/a=SinB/b
 Sin(40°)/19=SinB/13
 SinB=13xSin(40°)/19
 m∠b=SinB^-1(13xSin(40°)/19)
 m∠b=26.1°

 Therefore, the answer is: 26.1 degrees.
6 0
2 years ago
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