Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. Suppose that it is somehow known that the population standard deviation is 1.4. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
Answer:
sigma should be used
Step-by-step explanation:
Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.
The above given is for sample of 27 size.
For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.
But once population std deviation is given, we use only that as that would be more reliable.
So here we can use population std deviation 1.4 only.
If population std deviation is used we can use normality and do Z test
Hope this helps ;)
what is the variable in the expression 3y+8
help i’m failing school rn lol
Answer:
B.9x
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
The actual distance from Jarret's home to
Lake Mitchell is 140 miles. The distance on a map
is 3.5 inches.
What scale could have been used for the map?
O 1 inch = 4 miles
O =
1 inch = 40 miles
0 =
1 inch = 137.5 miles
O
1 inch = 490 miles
Answer:
1 inch= 40 miles
Step-by-step explanation:
u don't need one it's very easy
Chicken costs $3.20 per pound, and beef costs $4.59 per pound. What is the exact cost of 3 pounds of chicken?
Answer:
$9.60
Step-by-step explanation:
3.20x3=9.60
please help fill in these blanks
Answer:
1) 2
2)30
3)10
-Sumin <3
PLEASE HELPPPPPP
Solve this equation after changing it to have a base of e: 30 (.93) ^ x = 20
Answer:
U2I282 88X29Z SMQ0J9WJ8D,E,F,BF
Step-by-step explanation:
What is the solution to this equation. 7 + ∜m = 9
Answer:
m = 16
Step-by-step explanation:
hope this helps!!!!
If the figure is a regular polygon solve for x 7x + 3
Answer:
The answer is 7 x + 3 =24 because its a problem solving
The requried simplified value of the 12 sided-polygon is given as 21.
What is a polygon?Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of polygons, equilateral triangles, squares, pentagons, etc
Here,
The polygon given has 12 sides,
The angle of the polygon is given as,
7x + 3 = (n - 2) × 180/n
7x + 3 = (12 - 2) × 180/12
7x + 3 = 10×15
7x = 150 - 3
x = 147/7
x = 21
Thus, the requried simplified value of the 12 sided-polygon is given as 21.
Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ5
The diagram represents a 12 cm by 4 cm rectangle.
12 cm
4 cm
Calculate the area of the rectangle, giving the units of your answer.
Rewrite the function f (x) =3(x-1)^2-2 in the form f(x) = ax²+bx+c.
Answer:
3x^2-6x+1
Step-by-step explanation:
According to order of operations, you do exponents before multiplying. So, (x-1)^2=x^2-2x+1, then you multiply it by 3. Lastly, you subtract by 2.
In which table is y a linear function of x
Answer:
We conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
Step-by-step explanation:
Here are some of the rules using which we can easily figure out the true nature of a function.
Linear Function:
The constant change in x and y
Quadratic Function:
The constant change in x
The constant 2nd differences in y
Exponential Function:
The constant change in x
The constant ratio in y
We have to find a table in which y is a linear function of x.
Checking the table C
x -1 0 1 2 3
y 6 8 10 12 14
Here:
There is a constant change in x.
i.e. 0 - (-1) = 1; 1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1
Also there is a constant change in y.
i.e. 8 - 6 = 2; 10 - 8 = 2; 12 - 10 = 2; 14 - 12 = 2
Thus, we conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
Please, please, please, please help
Answer:
55%
Step-by-step explanation:
I divided 22 by 40 to get the percentage she got wrong
hope this is correct and helps :)
Answer:
The percentage is 55%
Which is NOT equivalent to 40/100
A: 4/10
B:8/20
C:40/10
D:20/50
Answer:
B
Step-by-step explanation:
because B is 8/20 and it's not equivalent to 40/100
Solve for “x” x+2 1/2=10.
Answer:
x = 7.5
Step-by-step explanation:
x + 2 1/2 = 10
Subtraction Property of Equality
x = 7 1/2 as a mixed number = 15/2 as an improper fraction = 7.5 in decimal form
I usually prefer decimal form
4√6 X 2√2
4√3
16√3
32√3
8√12
Answer:
Step-by-step explanation:
4√6 X 2√2 4√3 16√3 32√3 8√12
Answer: 16√3
Step-by-step explanation:
A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 64 bottles and finds the average amount of liquid held by the bottles is 9.9145 ounces with a standard deviation of 0.40 ounce. Suppose the p-value of this test is 0.0436. State the proper conclusion. choose from below and explain why.
A) At α = 0.05, reject the null hypothesis.
B) At α = 0.10, fail to reject the null hypothesis.
C) At α = 0.025, reject the null hypothesis.
D) At α = 0.05, accept the null hypothesis.
Answer:
A) At α = 0.05, reject the null hypothesis.
Step-by-step explanation:
Given a p-test value of 0.0436 ;
P-value = 0.0436
Recall :
Decision region :
Reject Null if p value < α
Testing the options :
A) At α = 0.05,
0.0436 < 0.05 (true)
Since p value < α ; Reject the null hypothesis.
B) At α = 0.10,
0.0436 < 0.1
True conclusion is to reject the Null Hypothesis
Hence, option B is incorrect.
C) At α = 0.025, reject the null hypothesis.
0.0436 > 0.025
True conclusion is ; Fail to reject the Null ;
Hence, option C is incorrect
D) At α = 0.05, accept the null hypothesis.
0.0436 < 0.05
True conclusion is ; reject the Null
Hence, option D is incorrect
Draw a model to show a 26-pack of candy bars divided equally among 7 people. How
many candy bars will each person have?
Answer:
[tex]\frac{26}{7}[/tex]
Step-by-step explanation:
Each person will get 3 packs of candy bars
The given parameters are:
Candy bars = 26 pack
People = 7
The number of pack each person will have is then calculated as:
Pack =Candy bars / People
So, we have:
[tex]Pack = \frac{26}{7}[/tex]
Divide 26 by 7 (remove the decimal or fractional parts)
[tex]Pack = 3[/tex]
Hence, each person will get 3 packs of candy bars
Read more about quotients at:
https://brainly.com/question/7068223
An urn contains four dice. Two have faces numbered 1,2,3,4,5, and 6; one has faces numbered 2,2,4,4, 6 and 6; and one has all six faces numbered 6. One of the dice is randomly selected from the urn and rolled. The same die rolled a second time. Calculate the probability that a 6 is rolled both times ( hint Law of total probability) Group of answer choices
Answer:
21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times
Step-by-step explanation:
Two have faces numbered 1,2,3,4,5, and 6
So for these two, each with 1/4 probability of being chosen, the probability of rolling two six is given by:
(1/6)^2 = 1/36
So
[tex]p_A = 2 \times \frac{1}{4} \times \frac{1}{36} = \frac{1}{72}[/tex]
One has faces numbered 2,2,4,4, 6 and 6;
The probability of rolling 2 faces six with this dice is:
(2/6)^2 = 4/36
This dice has 1/4 probability of being chosen. So
[tex]p_B = \frac{1}{4} \times \frac{4}{36} = \frac{1}{36}[/tex]
One has all six faces numbered 6.
The probabilityu of rolling two six is given by:
(6/6)^2 = 1^2 = 1
This dice has 1/4 probability of being chosen. So
[tex]p_C = \frac{1}{4} \times 1 = \frac{1}{4}[/tex]
Calculate the probability that a 6 is rolled both times
[tex]p = p_A + p_B + p_C = \frac{1}{72} + \frac{1}{36} + \frac{1}{4} = \frac{1 + 2 + 18}{72} = \frac{21}{72}[/tex]
21/72 = 0.2917 = 29.17% probability that a 6 is rolled both times
Solve the inequality for x. Be sure to show all work to receive full credit.
−3x + 5 ≤ −16
Answer:
x ≥ 7
Step-by-step explanation:
First, put the same terms on the same side. So subtract 5 from both sides. You will get:
-3x ≤ -21
Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.
You will get:
x ≥ 7
Therefore, x will be a number that is greater than or equal to 7.
What is the slope of the line
Answer:
b
Step-by-step explanation:
the slope is 7 bc of y=mx+b. m is the slope
anyone very good in math and wanna helpppp me?
2x−y=5 If x=4, then y=
Answer:
Y = 3
Step-by-step explanation:
2(4) = 8
Subtract 8 on both sides
-y = -3
Y=3
can u pls help me with this question 2
craig has a coin and a number cube.The number cube is labeled 1-6.He flips the coin once and rolls the number cube once.What is the probability that the coin lands heads up and the number cube lands on an odd number
Answer:
3/12
Step-by-step explanation:
A chain of sports shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on her initial purchase and supplies. Based on these figures, to explore the possibility of offering combinations, such as a pair ofboots pair skis, induce customers to buy more. As of cash register receipts revealed these initial purchases:$85 $139 $161 $175 $85 $133 $149 $145 $136 131 290235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139(a) Find the smallest class interval, use five classes.(b) What would be a better class interval?
Answer:
47.4 ;
50
Step-by-step explanation:
Given the data :
X ($) : 85 139 161 175 85 133 149 145 136 131 290 235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139
The smallest class interval :
Range / number of classes
Number of classes to use = 5
Range = Maximum - Minimum = (322 - 85) =237
Hence, smallest class interval :
237 / 5 = 47.4
A better class interval would be, one without decimal, rounded to the nearest 10; this will be easier and make more statistical sense
Hence, smallest class interval rounded to the nearest 10 :
47.4 = 50 (nearest 10)
please help. I can't find answer.
Answer:
-1,5
Step-by-step explanation:
A chemist needs 40 liters of a solution that is 20% acid for a certain experiment, but she has
only a solution that is 15% acid and a solution that is 40% acid. How many liters of the 15% and
the 40% solutions should she mix to get what she needs?
The product of (a − b)(a − b) is a perfect square trinomial.
A. Sometimes
B. Always
C. Never
Answer:
Always.
Step-by-step explanation:
Answer:
Always
Step-by-step explanation:
The first term of the product is always the first term of the original binomial squared.
The middle term of the product is always negative and equal to twice the product of the first and last terms of the original binomial.
The last term of the product is always positive and equal to the last term of the original binomial squared.
EX: Find the product of (3x − 4)2.
Identify what a and b are in the given binomial. Here, a is equal to 3x and b is equal to 4.
(3x − 4)2
substitute a for 3 times x and substitute b for 4 a b
Now, substitute the values for a and b into a2 − 2ab + b2.
a2 − 2ab + b2
Make sure you place the term in parentheses when it involves more than one factor. Then, use the Power of a Product rule to simplify.
(3x)2 − 2(3x)(4) + (4)2
32x2 − 24x + 16
9x2 − 24x + 16
Done!
Original price of a sled: $99.50
Discount: 50%
Answer:
49.75
Step-by-step explanation:
1/2 (50%) of 99.50 is 49.75