Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.
At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:
[tex]H_0: \mu = 2.5[/tex]
At the alternative hypothesis, it is tested if it has increased, that is:
[tex]H_1: \mu > 2.5[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}[/tex]
[tex]z = 1.7[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of [tex]z^{\ast} = 1.645[/tex]
Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.
A similar problem is given at https://brainly.com/question/24166849
dont mind this i just need the achivement
Answer:
K cool
Step-by-step explanation:
Answer:
Step-by-step explanation:
BD bisects ABC. m ABC = (5x – 4) CBD = (3/2x+21) what's kind if angle is ABC
Answer:6 this is the answer
Jessie typed the first 300 words of her essay in 12 minutes. Then she got tired and
typed the remaining 300 words in 15 minutes. What was the average speed of Jessie's
typing?
Answer:
whats 12x15
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
300/12 = 25
300/15 = 20
25 and 20 average = 22.5
In a class of 38. Student, 15 play bockey and twice is mang play basketball Each student in the class Plays either backey or basketball
variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5
Answer:
16.3x
17. 8y
18.x+y
I thing these are the answers of these equations
1.
Identify the vertex and the y-intercept of the graph of the function.
y = 0.5(x – 3)^2
A. vertex, (3, 0); y-intercept 4.5
B. vertex, (–3, 0); y-intercept, 4.5
C. vertex, (–3, 0); y-intercept, 1.5
D. vertex, (3, 0); y-intercept, 1.5
Answer:
A. vertex, (3, 0); y-intercept 4.5
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 3 , 0 )
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s):
( 3 , 0 )
y-intercept(s):
( 0 , 4.5 )
I don’t even know the answer to this one plz help me
Answer:
You would multiply -11 by 9/4
This is because they are on opposite sides of the equation, and 9/4 is connected to a variable.
Jin schedules 496 hours for a project. He plans to work 8 hours each day. How many days will it take to complete the project?
Answer:
62 days
Step-by-step explanation:
496/8 = 62
496/8=62
Hope this helps!
Work out the shaded area of this shape.
Answer:
look at the picture .................
The picture shows the $481 four friends worked together to earn.
They want to split this money equally.
Drag the money below to the box to show how much each friend will get.
Answer:
for what you have you need to add one more $10 bill.
or make it total $120.25
good luck!!
The total amount each friend will get after split money equally is $120.25.
Given that;
The picture shows the $481 four friends worked together to earn.
And, They want to split this money equally.
Here, the total amount earn = $481
And, the number of friends = 4
Hence, the amount each friend will get,
$481/4 = $120.25
Therefore, the value of the amount is $120.25.
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Juan rolls a number cube 40 times, he rolls a 3 on the number cube 6 times. What is the experimental probability that he rolls a 3?
Answer: 6/40 = 3/20
Step-by-step explanation:
The experimental probability is the number of times the desired result was obtained over the number of times the experiment was carried out:
P= Time the event occurs/ Total number of trials
In this case the event we are looking for is rolling a 3 on the number cube. The total number of trials is: 40
because the student rolls the cube 40 times. and the time that he got the number 3 (the times the desired event occurs) is: 6
because he rolls a 3 on the number cube 6 times. Thus our experimental probability to roll a 3 is: P = 6/40
16 x [tex]\frac{1}{8}[/tex]
Answer:
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find the gradient and y- intercept of the line with equation 2x+3y-7=0
Answer:
Gradient = -2/3
y-intercept = 7/3
Step-by-step explanation:
Convert the equation in y = mx + c form, m is the gradient and c is the y-intercept
2x + 3y = 7
3y = -2x + 7
y = -2/3x + 7/3
Select all the products that are negative.
(–4)(–9)(2)
(–4)(9)
(6)(6)(–2)
(–6)(–6)
(6)(–6)
Answer:
(–4)(9)
(6)(–6)
(6)(6)(–2)
Step-by-step explanation:
(–4)(–9)(2)
=36(2)
=72, No
(–4)(9)
=-36, Yes
(6)(6)(–2)
=36(-2)
=-72, Yes
(–6)(–6)
=36, No
(6)(–6)
=-36, Yes
BRAINLIEST
Please solve at least one of these problems. I would love it if you could do all of them but I know you probably won’t have time for it. Ty!
Answer:
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST
[tex]f(a) = -4a +6a^3 - 15 -4a^2 \\\\\text{By the remainder theorem,}\\\\f\left(\dfrac 53 \right) = -4\left(\dfrac 53 \right) + 6 \left( \dfrac 53 \right)^3 - 15 - 4 \left(\dfrac 53 \right)^2 = -5\\\\\\ \text{Hence}~-5~ \text{is the remainder when f(a) is divided by}~ 3a -5[/tex]
[tex]\\ \sf\longmapsto 3a-5=0[/tex]
[tex]\\ \sf\longmapsto 3a=5[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{5}{3}[/tex]
Using remainder theorem
[tex]\\ \sf\longmapsto f(a)=-4a+6a^2-4a^2-15[/tex]
[tex]\\ \sf\longmapsto f\left(\dfrac{5}{3}\right)[/tex]
[tex]\\ \sf\longmapsto -4(5/3)+2a^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(5/3)^2-15[/tex]
[tex]\\ \sf\longmapsto -20/3+2(25/9)-15[/tex]
[tex]\\ \sf\longmapsto -20/3+50/9-15[/tex]
[tex]\\ \sf\longmapsto (-60+50)/9-15[/tex]
[tex]\\ \sf\longmapsto -10/9-15[/tex]
[tex]\\ \sf\longmapsto -10-135/9[/tex]
[tex]\\ \sf\longmapsto -145/9[/tex]
[tex]\\ \sf\longmapsto 16\dfrac{-5}{9}[/tex]
Remainder=-5
What type of angle is 90 degrees
Answer:
Obtuse or right angle
Step-by-step explanation:
Also you should stop making your question worth so many points
Simplify 5 x a 5 x a
Answer:
(5)2 x (a)2
Step-by-step explanation:
Collect the like terms which in this case are 5 and a, then see how many times they show. Put brakets or an index based on how many times the term shows.
f(x)=3x+5 and g(x)=2x+1
value of x
You can treat x and 2x+1 just as though they are real numbers.
So f(2x+1) = 3(2x+1) - 5 = 6x + 3 - 5 = 6x - 2
In the above, I made use of something called the distributive law which says that if a,b and c are real numbers, then a(b+c) = ab + ac.
A soap manufacturing company packs 5252 soap bars per carton.
Find the number of soap bars that can be packed in 99 cartons, using a direct variation model.
If this is the question in picture below.
Answer:
468
Step-by-step explanation:
6x-7y=7andx-7y=-8 find valve of x and y
Answer:
x = 3, y = 11/7.
Step-by-step explanation:
6x - 7y = 7
x - 7y = -8 Subtract:
5x = 15
x = 3
3 - 7y = -8
-7y = -11
y = 11/7.
Answer: x = 3 and y = 11/7
Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x) -7y/-7 = -6x+7/-7 y = 6/7x-1 x-7 (6/7 (x) -1) = -8 -5x+7+(-7) = -8+(-7) -5x/-5 = -15/-5 x = 3 y = 6/7x-1 y = (6/7) (3) -1 y = 18/7-1 18/7-1/1 18/7-7/7 y= 11/7 x = 3 and y = 11/7
1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive.
The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.
________________________________
Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?
A. -5.1 + d > 3 1/2
B.-5.1 + d > -3 1/2
C.-5.1 + d > 3 1/2
D.- 5.1 + d > -3 1/2
________________________________
Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3
The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:
1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.
2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5
3. Alex would represent it as: [tex]\frac{1}{2} n[/tex] > [tex]1\frac{1}{3}[/tex]
A number line is a system that can be used to show the positions of all directed numbers.
Thus, the solutions to the given questions are stated below:
1. Let the scuba diver's previous deepest dive be represented by d . Such that,
2.5 d = - 80 .......... 1
So that;
d + p = -80 ............ 2
From equation 1,
2.5 d = -80
d = -32 feet
From equation 2,
-32 + P = - 80
p = -80 + 32
= -48 feet
p = -48 feet
⇒ -32 + (-48) = -80
Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.
2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.
Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles
= 8.6 miles
Thus, since the distance to the store is more than 3.5 miles east of her home, thus the appropriate inequality that represents the situation is:
-5.1 + d > 3.5
The correct option is: A or C
3. Let the number be represented by n, so that:
[tex]\frac{1}{2}[/tex]n > [tex]1\frac{1}{3}[/tex]
Alex would represent the statement as: [tex]\frac{1}{2} n[/tex] > [tex]1\frac{1}{3}[/tex]
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Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?
Answer:
the answer is 5×9+2=47
Step-by-step explanation:
the answer is 47
Part C
How does a dilation by a scale factor of 1/2 change the coordinates of a shape?
Answer:
it cuts it in half
Step-by-step explanation:
and it makes it smaller and therfore it is cut in half hope that helps
A rectangle has an area of 888 square centimeters.
Which of the following could be the rectangle's length and width?
Answer:
i think 222 for eatch side
Step-by-step explanation:
can someone help me?!!! I need help!! ASAP
Answer:
x=4.6
Step-by-step explanation:
step 1 : calculate angle P since you know 2 angles
Step 2 : 57° - 90° = 180° [interior angles of a triangle ]
Step 3 : x/sin(33°) =7.1/sin(57°)
: x= 7.1Sin(33°)/sin(57°)
: x=4.6
first three common factors of 3 and 9?
Answer:
The GCF of 3 and 9 is 3.
Step-by-step explanation:
How do you make a circle graph without any extra space?
Answer:
draw a circle, and draw the degrees
Step-by-step explanation:
Deside whether g(x) = 2x^3 - 7x^2 - 3x^-1
(c) Ada is x years old and Bill is y years old.
Last
year,
Bill was 6 times as old as Ada.
(1) Form an equation in x and y and show that it simplifies to y = 6x - 5.
Using a system of equations, it is found that the simplified equation is y = 6x - 5.
Ada is x years old.Bill is y years old.Last year, Ada was x - 1 years old and Bill was y - 1 years old.
Bill was 6 times as old as Ada, hence:
[tex]y - 1 = 6(x - 1)[/tex]
[tex]y - 1 = 6x - 6[/tex]
[tex]y = 6x - 6 + 1[/tex]
[tex]y = 6x - 5[/tex]
The simplified equation is y = 6x - 5.
For a similar problem, also involving a system of equations, you can check https://brainly.com/question/13773803
