Answer:
Z-statistic = 1.4017 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals
Step-by-step explanation:
Step(i):-
Given first sample size (n₁ ) = 57
Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period
First sample proportion
[tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157[/tex]
Second sample proportion
[tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037[/tex]
Null Hypothesis : p₁⁻ = p₂⁻
Alternative Hypothesis : p₁⁻ ≠ p₂⁻
Step(ii):-
Test statistic
[tex]Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]
where
[tex]P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }[/tex]
[tex]P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612[/tex]
Q = 1 - P = 1 - 0.2612 = 0.7387
[tex]Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }[/tex]
Z = 1.4017
Level of significance ∝ =0.05
The tabulated value Z₀.₀₅ = 1.96
Z-statistic = 1.4017 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals
The pair of triangle are similar What is the value of X
Answer:
cscs
Step-by-step explanation:
aasdadx
7x-7=2x-1 what is x please help
Answer:
x= 1.2
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
Step 2: Add 7 to both sides.
Step 3: Divide both sides by 5.
Hope this helped :)
Answer:
7x+=2x-1
7x+2x=7+1
9x=8
x=9-8
x=1
3. The letters that form the word MISSISSIPPI are placed in a bowl. What are the odds of choosing a “P”? Express as a fraction.
Answer:
Step-by-step explanation:
Lol since there's 2 P's and 11 letters in MISSISSIPPI. Odds are 2/11.
help meeeee pleaseeee
Complete the following statement. Write your answer as a decimal or whole number.
____% of $80 = $4
5% of $80 is $4.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, ____% of $80 = $4
Let x be the percent,
x% of 80 = 4
x = 4*100/80 = 5
Hence, 5% of $80 is $4.
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TAKE A PIC OF A PEICE OF PAPER WITH THE WORK ON IT AND AWNSER. Heyyy pls help me :( it would mean a lot!!! I have a 55% in math rn and I’m trying to get it up.. it would mean a lot if you could help me. I’m not doing so good rn. My parents are very mad about my grades, pls help. JUST 5 QUESTIONS
Answer:
1.
4x-5x+3-8
-x-5
2.
3x^2+8x^2-2x+7x
11x^2-5x
3.
4x+9x+2y+3y^2
3y^2+5y+13x
4.
-5x-7x-2
-5x+-7x-2
-12x-2
5.
6(3x-5)-9x
6(3(4)-5)-9(4)
6(12-5)-36
6(7)-36
6
15 divided by 19.5. help, please.
Answer:
Step-by-step explanation:
0.76923076923
okay. i need help i been working on this for like- 4 hours i dont know chile anyways so. im kinda not- smart- right now and i lost my brain. so a little help please <3
1. 8.2 repeating
2. 0.878
3. 22.02 repeating
4. 1.852 repeating
5. 0.76335877
6. 0.270 repeating
Of 15 possible books, you plan to take 7 with you on vacation. How many different collections of 7 books can you take?
The number of collections of 7 books can you take is 1685.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Total books= 15
n = 15 (the number of possible books) and r = 7 (the number of books to be taken).
Now,
To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.
The formula for combinations is:
nCr = n! / (r! (n - r)!)
where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.
We can plug these values into the formula:
15C7 = 15! / (7! (15 - 7)!)
= 15! / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)
= (6435 x 1320) / (5040)
= 8491770 / 5040
= 1685.25
Since we cannot have a fraction of a collection, we round down to get the final answer:
15C7 = 1685
Therefor, by algebra the answer will be 1685.
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Label the following graph as vertical or horizontal:
x = –2
A.
Circle
B.
Horizontal
C.
Vertical
D.
Curved
Jackson painted 80 bird house. 30% of the bird houses were painted green how many green bird houses did Jackson paint
The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the correct answer to complete the blanks in the sentence: "The level of ibuprofen in the patient's bloodstream increased from _____ hours to _____ hours."
The graph is missing, so i have attached it.
Answer:
From 0 hours to 2 hours.
Step-by-step explanation:
From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.
Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.
After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.
Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.
A student took two national aptitude tests. The national mean and standard deviation were 325 and 100, respectively, for the first test, and 50 and 6, respectively, for the second test. The student scored 425 on the first test and 65 on the second test. Use z-scores to determine on which exam the student performed better relative to the other test takers. first exam
Answer:
Second test
Step-by-step explanation:
Given that :
FIRST TEST
Mean (m) = 325
Standard deviation (s) = 100
Score (x) = 425
SECOND TEST
Mean (m) = 50
Standard deviation (s) = 6
Score (x) = 65
Express both scores as standardized scores:
Zscore = (x - m) / s
First Score :
Zscore = (425 - 325) / 100
Zscore = 100/100 = 1
SECOND SCORE :
Zscore = (65 - 50) / 6
Zscore = 15 / 6 = 2.5
Student performed better on second test :
Zscore second > Zscore first
A total of 600 advertisements were sold for a certain magazine. If 20 percent of the first 200 sold were in color, 40 percent of the next 300 sold were in color, and 80 percent of the last 100 sold were in color, what percent of the 600 advertisements were in color?
Answer:
40%
Step-by-step explanation:
First, find how many of the first 200 were in color:
200(0.2)
= 40
Then, find how many of the next 300 were in color:
300(0.4)
= 120
Find how many of the last 100 were in color:
100(0.8)
= 80
Then, add these all together to find how many were in color:
40 + 120 + 80
= 240
Then, divide 240 by 600 to find the percent that were in color:
240/600
= 0.4
So, 40% of the 600 advertisements were in color
In a scale model of a product, a part has a volume of 20 inches cubed. If the product will be 4 times longer, 4 times wider, and 4 times taller than the model, then what will be the volume of the product?
Answer:
1280 in³Step-by-step explanation:
Volume of model v = 20 in³
The volume is the product of 3 dimensions
If each dimension will increase 4 times, then the volume of the product will be:
V = v*4*4*4 V = 20*64 = 1280 in³1. Jordy brings in cupcakes for his class. He brings 2 cupcakes for each person in his class and 5 extra cupcakes as extra just in case. If Jordy brings in 49 cupcakes in all, write an equation that represents this information and then solve to find out how many classmates he has.
PLS PLS WRITE THE EQUATION...
Answer:
22 people
Step-by-step explanation:
49 - 5 = 44 cupcakes
44 ÷ 2 = 22 people
The speed of light is about 670,616,629 miles per hour. Which is this
speed of light written in scientific notation?
Answer:
6.70616629 × 10^8
Step-by-step explanation:
n/32 = 1/16
Please select the best answer from the choices provided.
A: n = 1/2
B: n = 4
C: n = 2
D: n = 12
Answer:
2 is the correct answer dood
Answer:
c) n=2
Step-by-step explanation:
what's 2+2-2-4+77 and what is the square root of the sum
Answer:
simplified it is 75 the square root of 75 is 8.66025403784
Step-by-step explanation:
What is 55% of 38
A) 20.4
B)1767
C)2090
D)20.9
E) none of these
Answer:
e
Step-by-step explanation:
yes
PLEASE HELP ME WITH THIS!! WRITE DOWN BELOW WHAT I CAN PUT INTO THIS QUESTION PLEASE! I WILL BE COPYING AND PASTING YOUR RESPONSE ONTO THE ANSWER BOX
Write an equation that represents the tile pattern in the table below
Answer:
y=3x+2
Step-by-step explanation:
First find the slope or m in the line of equation y=mx+b
to find slope you need two points, plug in to y2-y1 / x2-x1
so lets use points (0,2) (1,5)
5-2 / 1-0 = 3
m=3
we have y=3x + b
now we find b by pugging in a point, let's use (0,2)
2 = 3(0) + b
b= 2
y=3x+2
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Use a model to divide. 1/4 divided by 3.
Possible answers are,
3/6
9
1/12
1/6
9 is the answer I hope this helped
The solution of 12 + 2x – x = 9x + 28
Answer:
x = -2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Find the difference :
1 -
0.4308
PLEEASE ANSWER WILL MARK BRAINLIEST PLEASE ANSWER
Answe - 0. 5692
Step-by-step explanation:
the step is only to let 1 be 10000 and then subtract 4308 from 10000 and it u have any confusion then u can also check it by adding the answer with 4308
and that's it.
If u think it's helpful then plz share to ur friends too.
The difference is 0.5692.
What is Decimals numbers?Decimal numbers are numbers which has basically a whole number part and a fractional or decimal part after a point called decimal point.
Decimal number system describes the base 10 number system.
Here we have to find the difference of 1 - 0.4308.
Here, the number is 0.4308, which is a decimal number.
Write 1 as the decimal number as 1.0000
Subtracting as done as usual whole numbers, we get,
1.0000 - 0.4308 = 0.5692
Hence the difference of the given numbers is 0.5692.
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What is the slope of the line? Input the ratio and choose
the correct units. Then click done.
Answer:
100/4
Step-by-step explanation:
Just took the test on iready it was right.
Indicate a general rule for the nh term of this sequence.
12a, 15a, 18a, 21a, 24a,...
Answer:
The general rule for the nth term of this sequence will be:
[tex]a_n=3na+9a[/tex]
Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 12a, d = 3a
[tex]a_n=12a+\left(n-1\right)3a[/tex]
[tex]=12a+3na-3a[/tex]
[tex]=3na+9a[/tex]
Therefore, the general rule for the nth term of this sequence will be:
[tex]a_n=3na+9a[/tex]
3x+2=2x+7 what is x lol why I need 20 characters anyway help
Answer:
5
Step-by-step explanation:
3x-2x=7-2
x=5
45.15 ÷ 21 pleases solve it for me
Answer:
2.15
Step-by-step explanation:
If average of 3 quantities is 15 , sum of quantities is....?
Step-by-step explanation:
Sum of quantities = Average of quantities * Number of quantities = 15 * 3 = 45.
Answer:
45
Step-by-step explanation:
Average = Sum of quantities / Number of quantities
15 = Sum / 3
Sum = 45