Answer:3,360.0
Step-by-step explanation:
Independent random samples of released prisoners in the fraud and firearms offense categories yielded the given information on time served in months. At the 1% significance level, do the data provide sufficient evidence to conclude that the meantime served for fraud is less than that for firearms offenses? Assume that populations standard deviations are the same for both groups. (i.e., we assume σ1 = σ2 .)
Answer:
Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.
Step-by-step explanation:
Fraud Firearm
15.2 9.2 20.1 15.7
11.2 15.8 20.4 9.8
7.2 5.2 13.1 13.5
7.7 4.9 20.7 23.1
7.4 9.8 10.4 22.2
∑ 93.6 169
Fraud (X1i)² Firearm(X2j)²
231.04 84.64 404.01 246.49
125.44 249.64 416.16 96.04
51.84 27.04 171.61 182.25
59.29 24.01 428.49 533.61
54.76 96.04 108.16 492.84
∑1003.79 3079.66
We formulate the null and alternative hypothesis as
H0: μ1 - μ2 ≤ 0 i.e. the fraud meantime is less than that for firearms offenses.
Ha: μ1- μ2 > 0 i.e. the fraud meantime is greater than that for firearms offenses.
We set the significance level at ∝= 0.01
The test statistic, if H0 is true , is
t= x1`1- x`2/ Sp√1/n1+ 1/n2
which has a student t- distribution with ν= n1+ n2 -2 = 18 degrees of freedom
The critical region consists of all t- values which are greater than or equal to t> t(0.01)(18)= 2.522
Computations :
X1`= ∑X1i/n1 = 93.6/10= 9.36
X2`=∑X2j/n2=169/10 = 16.9
∑( X1i- x`1)² = ∑X1i²- (∑X1i)²/n1
= 1003.79 - 876.096/10
= 100.379- 87.6096
=12.7694
∑( X2j- x`2)² = ∑X2j²- (∑X2j)²/n2
= 3079.66 - 28561/10
= 3079.66- 2856.1
=223.56
Sp²= 12.7694+223.56/18= 13.129
Sp = √13.129 =3.623
t= 9.36-16.9/ 3.623√0.1+0.1
t= -7.54/ 1.62
t= -4.654
Conclusion: Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.
The meantime served for fraud is less than that for firearms offenses.
Need help geometric sequences see pic for details
Given:
The recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]
[tex]a_1=-3[/tex]
To find:
The explicit formula of the given geometric sequence.
Solution:
We know that, first term of geometric sequence is [tex]a_1=-3[/tex].
Recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\times r[/tex] ...(i)
where, r is common ratio.
We have,
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]r=\dfrac{1}{8}[/tex]
The explicit formula of a geometric sequence is
[tex]a_n=a_1r^{n-1}[/tex]
Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get
[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]
Therefore, the correct option is D.
plz help! will give brainliest!
Answer:
B
Step-by-step explanation:
The graph shows 3 spaces up every our on the y axis I hope this helped you! im very good at these so I can help is u have more questions! can I have brainliest? I was the first
Answer: 3 miles per hour
Step-by-step explanation:
looking at the graph you have (1,3) (2,6) and (3,9) and everytime its multiplying by 3... 1x3=3 , 2x3=6, 3x3=9
Therefore, your answer is 3 miles per hour
Find the slope of the line that passes through the pair of points.
4. (1, 6), (6, -1)
7
a.
5
b.
5
7
c.
7
5
d.
5
7
Answer:
-7/5
Step-by-step explanation:
Best answer gets brainiest. Katie's math class starts at 10:15 A.M. and lasts for 1 hour and 55 minutes. After math class, Katie has recess for 35 minutes. What time does Katie's recess end?
Include A.M. or P.M. in your answer.
Answer:
12:45 PM
Step-by-step explanation:
First, add the time of the math class:
10:15 AM + 1 hour
= 11:15 AM
11:15 AM + 55 minutes
= 12:10 PM
Then, add the time of recess:
12:10 PM + 35 minutes
= 12:45 PM
So, her recess ends at 12:45 PM
Answer:
Recess Ends at 12:45 PM
Step-by-step explanation:
10:15 + 1 hour and 55 minute= 12:10 PM
12: 10+ 35 min= 12:45 PM
Can someone help me please
Answer:
time is Y-axis and gallons is x-axis
How much simple interest would Kaitlin earn on $300 at 6% for 3 months?
A. 27
B. 9
C. 54
D. 18
Answer:
C) $54.00
Step-by-step explanation:
300*6%*3
300*0.06*3
which is $54.
Hope this helps plz hit the crown :D
What is the perimeter of the triangle?
a
84 in
b
94 in
c
74 in
d
64 in
Answer:
The answer is C
Step-by-step explanation:
We alsreadyknow that 37 and 12 is the 2 given lines. and The last line is not 37 but pretty close making C the answer.
Answer:
D) 64 In
Step-by-step explanation:
P=12+37+64
what value of b makes the trinomial below a perfect square?
X^2-bx+100
a- 10
b-20
c-5
d-50
Answer:
Step-by-step explanation:
1. Perfect square trinomials, are 2nd degree polynomials, of the form so that , which can be written as perfect squares.
2. For example
3. Thus are perfect square trinomials.
4.
5. In the first case -b=20, so b=-20. In the second case, -b=-20, so b=20.
6. b∈{-20, 20}
Answer:
b) 20
Step-by-step explanation:
x^2-20x+100 If you factor it, it would be (x-10)^2
Which One Does Not Belong? Use a complete sentence to explain your choice.
5 + 5
2 + 8
9 + 1
3 +9
Answer:
3 +9 does not belong because it doesn't equal 10 like the rest of them do.
Write a story problem using the measurement interpretation of division for the following ¾ ÷ ⅛
Answer:
there was 3/4 of a pizza left and gets divided with 8 people
Step-by-step explanation:
The measurement interpretation of the division of the expression ¾ ÷ ⅛ will be 6.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
¾ and ⅛
Then the division between the numbers 6 and 1/3 will be given by putting a division sign between them. Then we have
⇒ ¾ ÷ ⅛
⇒ (¾) / (⅛)
⇒ (¾) × (⁸/₁)
⇒ 6
The measurement interpretation of the division of the expression ¾ ÷ ⅛ will be 6.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Divide. Write in simplest form.
3/4 divided by 1/8
Answer:
when you divide 3/4 by 1/8 you get 6
Casey walked 2.1 miles to the grocery store. She then walked 0.5 miles to the post office and 0.8 miles to work. How far did she walk in total? Convert your answer into kilometers.
Answer:
3.4 miles and 5.472 kilometers
If there are 13 pretzels in each cup, How many pretzels does He eat?
Answer:
Step-by-step explanation:
Please give me the correct answer
Answer:
5×1,000,000,000
Step-by-step explanation:
since 5×1=5
5×1,000,000,000 would be 5,000,000,000
this is what I think and I'm sorry if I'm wrong
what are 2 ratios equivalent to 2:12
Answer:
possible answers include 1:6 and 4:24
Step-by-step explanation:
think of ratios like fractions. you can simplify a fraction by dividing each number by the same factor. 2/12 = 1/6 because you divide the top and bottom by 2. now, you need ANOTHER response. if you can divide the top and bottom you can also multiply. 2/12 now multiply 2 and 12 by 2 and you get 4/24.
Please Help Fast I Don't Know
Answer:
376 people
Step-by-step explanation:
25% is 94
to get the there 75% divide 94 by 25% or .25 and you get 376. 25% of that is 94.
Alright i believe the answer is 376, to find the answer we need to find the percent of 1/4 and it is 25% so now i must find how many 25's can fit into the 100% or the whole, in this case 4 can fit into it so now i must multiply 94 * 4 = 376
so i think that is the answer is 376...
I hope this helps!
Kelly read 30 pages of her 300-page book in 6 hours. At this rate, how long will it take her to read the entire book? (5 points) 6 hours 5 hours 60 hours 30 hours
Answer:
It is 60 hours
Step-by-step explanation: 30 pages = 6 hours
30 × 10 = 300
6 × 10 = 60
Answer:
60
Step-by-step explanation:
trust me
to sacrifice my own life for pakistan
Answer:
yes.
Step-by-step explanation:
r these just free points?
Last year, Jeffrey grew 5/8 of an inch and his brother grew 1/2 of an inch. How much more
did Jeffrey grow than his brother?
Simplify your answer and write it as a fraction or as a whole or mixed number.
Answer:
Jeffrey grew 1/8 inch more than his brother
Step-by-step explanation:
5/8 - 1/2 = 5/8 - 4/8 = 1/8
Answer:
[tex]\frac{5}{4}[/tex] [tex]or[/tex] [tex]1.25[/tex]
Step-by-step explanation:
[tex]\frac{5}{8}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]?[/tex]
[tex]\frac{5}{8}[/tex] = [tex]0.625[/tex]
[tex]\frac{1}{2}[/tex] = [tex]0.5[/tex]
[tex]\frac{0.625}{0.5}[/tex] = [tex]\frac{5}{4}[/tex]
[tex]Therefore,[/tex] [tex]\frac{5}{4}[/tex] [tex]is[/tex] [tex]the[/tex] [tex]answer.[/tex]
Hope this helps! <3
Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,
in which every 2 inches represents 5 feet. On her scale drawing, the area of the room is 24.96 square
inches. If one side of her room is 12 feet long, how long is the other side of her room, in feet?
Answer:
The other side = 13 feets long
Step-by-step explanation:
Given that :
Scale of drawing : 2 inches represents 5 feets
Area of rectangular room according to scale drawing = 24.96 in²
Length of one side of the room = 12 feets
Length of other side = x
Area of rectangle = Length * width
If :
2 inches = 5 feets
x = 12 feets
x = (12 *2) / 5
x = 4.8 inches
Hence,
For the scaled drawing :
4.8 * width = 24.96
Width = 24.96 / 4.8
Width = 5.2 inches
Converting to feets according to scale:
2 inches = 5 feets
5.2 inches = x feets
x = (5.2 * 5 ) / 2
x = 13 feets
Other side is 13 feets long
failed my elementary statistics college class, 1st semester, can i retake the same class? or no
Answer:
I think you can
Step-by-step explanation:
Answer:
I think you can take it in the next semester
Step-by-step explanation:
Someone please help look at the picture please anything would help
Find the perimeter of the large triangle
Answeeeeeeeeeeerrrrrrrrrrrrrrr:
36
Estimate 48% of 199o
Answer:
Not sure if this is a typo but
48% of 199=95.52
48% of 1990=955.2
Step-by-step explanation:
Answer: 95.52.
Explanation: First take 199 then do times 48, then you'd get 95.52. Hope that helps!
HELP WILL GIVE BRAINLIEST IF CORRECT
Answer:
hiii
your answer is option c
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
If point C lies between two points A and B such that AC=BC, then
Answer:
If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.
A customer ordered a product online for $299 and was charged an additional $10 for shipping and handling. The customer received a rebate of $99 and a $25 credit for turning in an old cell phone. After a tax of 4% was applied, how much did the customer pay for the product?
Answer:
the amount paid by the customer for the product is $192.40
Step-by-step explanation:
The computation of the amount paid by the customer for the product is shown below:
= Total amount + Total amount × tax rate
= ($299 + $10 - $99 - $25) + ($299 + $10 - $99 - $25) × 0.04
= $185 + 185 × 0.04
= $185 + $7.4
= $192.40
Hence, the amount paid by the customer for the product is $192.40
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Which of the following equations are linear?
Hint: Two of them are linear.
1. y = 7/x
2. y = 3x + 4
3. 3x + 4y = 24
Final Answer: They are all Linear
Steps/Reasons/Explanation:
Question: Which of the following equations are linear?
1. [tex]y = \frac{7}{x}[/tex] Linear
2. [tex]y = 3x + 4[/tex] Linear
3. [tex]3x + 4y = 24[/tex] Linear
Because a linear equation is an equation of a straight line, it means that the degree of a linear equation must be 0 or 1 for each of its variables.
~I hope I helped you :)~
complete the following proof
Answer:
Step-by-step explanation:
statment/reason
1) HK≅JK / given (S)
2) IK bisects ∠HKJ / given
3) ∠3≅∠4 / angle bisectors form congruent angles (A)
4) HK≅JK / given
5) IK ≅IK / reflexive propriety (S)
6) ΔIHK≅ΔIJK / SAS theorem of congruency
7) ∠1≅∠2 / corsponding parts of congruent Δs are ≅
8) IK bisects ∠HIJ / angle bisectors form congruent angles