In Carter County, 19% of the population lives in the county seat, while the rest live in the countryside. Suppose 3% of those living in the county seat are selected for ury duty while 4.5% of those living in the countryside are selected for Jury duty. A resident of the county is random y chosen. Let D be the event that the person is selected for ury duty. El be e event that the person is from the county seat, and E2 be the event that the person is from the countryside. Complete parts (a) through (c) below.
a. Find the probability that this person is selected for jury duty Write an equation that models the probability. Choose the correct answer below
OD. P(D) = P(DE)'P(E)
b. The probability is
(Round to three decimal places as needed.) Click to select your answer(s).
Answers
Full question attached
Answer and explanation:
Answer and explanation attached
Related Questions
Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?
A.
{-4, 4, 14}
B.
{2, 4, 9}
C.
{-12, -4, 6}
D.
{12, 4, -6}
Answers
Answer:
The range is {12, 4, -6} ⇒ D
Step-by-step explanation:
The range of the relation is the values of y corresponding to the values given for x which is the domain of the relation
∵ The relation is 12x + 6y = 24
∵ The domain of the function is {-4, 0, 5}
→ That means x = -4, 0, 5, we need to find their corresponding values of y
∴ Substitute the values of x in the relation
∵ x = -4
∴ 12(-4) + 6y = 24
∴ -48 + 6y = 24
→ Add 48 to both sides
∴ -48 + 48 + 6y = 24 + 48
∴ 6y = 72
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{72}{6}[/tex]
∴ y = 12
∵ x = 0
∴ 12(0) + 6y = 24
∴ 0 + 6y = 24
∴ 6y = 24
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{24}{6}[/tex]
∴ y = 4
∵ x = 5
∴ 12(5) + 6y = 24
∴ 60 + 6y = 24
→ Subtract 60 from both sides
∴ 60 - 60 + 6y = 24 - 60
∴ 6y = -36
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{-36}{6}[/tex]
∴ y = -6
∵ The range is the values of y which corresponding to the domain
∴ The range is {12, 4, -6}
The answer is down below have a good day!!!
Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 16.
Answers
Answer:
The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".
Step-by-step explanation:
[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]
The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.
In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):
[tex]V = \iiint dy\,dx\,dz[/tex] (1)
The solid is constrained by the following intervals:
[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]
Then, the triple integral is now described:
[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]
Now we proceed to integrate thrice to obtain the volume:
[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]
[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]
[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]
The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.
We kindly invite to check this question on triple integrals: https://brainly.com/question/19484372
how to construct cuboid net? what should be the measurement (around 1-5)?
Answers
the measurement should be 4
an equivalent ratio to the tape diagram shown is to
Answers
Answer:
it is 16 to 32
Step-by-step explanation:
if you divided 16 by 8 and 32 by eighth you get 2:4
Miguel works for a company that installs and repairs dishwashers. Last week he installed 3 and repaired 4 dishwashers. What is the ratio of Miguel’s total jobs to dishwashers that he repaired?
Answers
Answer:
ewhyfreu62
Step-by-step explanation:
z=b+ m/a, solve for a
Answers
A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally how much pet food will each container hold
Answers
Explanation:
1 pound equals 16 ounces
5 x 16=80
80 ounces divided by 6 containers is equal to 13 1/3 ounces of pet food.
Answer:
answer is 0.85 repeat (a line over 5)
Step-by-step explanation:
all you have to do is divide 6 from (5 ÷ 6) wich gives you 0.85 continous (a line over 5) so 0.85 with a line over it is your answer
Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bikes and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Answers
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
Please help me solve both of them
Answers
Answer:
first one: a,d,e
second one: d
Step-by-step explanation:
pemdas
Answer:
1.- A
2.- A
Step-by-step explanation:
5/680 long divison explanation
Answers
Please help me ..................
Answers
a)E
b)D
c)A
2)Between 3 and 4
decimal estimate is 3.6
3)Between -12 and -13
Decimal estimate is -12.25
4)5.48 or 5.5inches
5)32 feet
6)B
7)C
The answers are shown below:
What is square root?The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents.
Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product. This can be written as 3 × 3 or 32. Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n^1/2, where n is a positive integer.
a) point E represent √47 ( 6.855)b) point D represent √27 ( 5.19)
c) point A represent √11 ( 3.316)
√13(3.6050 lies between 3 and 4.-√150 (12.247) lies between (-12 and -13)side = √area= √30 = 5.477 inch√90=9.48 ( option b)The incorrect statement is √12 lies between 4 and 5Learn more about square root here:
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Edgar has 20 dimes and nickels,all together sum up to $1.40.what does each one of them cost?
Answers
Answer:Edgar has 12 nickles and 8 dimes.
Step-by-step explanation:
A water-salt mixture calls for 3/4 cup if salt to be placed in 5 1/2 cups of water if i use 1 cup if salt how much water should i use to preserve the proper water to salt ratio
Answers
Answer:
7⅓ cups of water
Step-by-step explanation:
Water-salt mixture ratio = ¾ cup of salt to 5½ cups of water (¾ : 5½)
To maintain this water to salt ratio, if you intend to use 1 cup of salt, the number of water you need to add can be calculated as follows:
¾ cup of salt : 5½ cups of water = 1 cup of salt : x cups of water
¾ : 5½ = 1 : x
[tex] \frac{\frac{3}{4}}{5\frac{1}{2}}. = \frac{1}{x} [/tex]
[tex] \frac{\frac{3}{4}}{\frac{11}{2}} = \frac{1}{x} [/tex]
[tex] \frac{3}{4}*{\frac{2}{11} = \frac{1}{x} [/tex]
[tex] \frac{3}{2}*{\frac{1}{11} = \frac{1}{x} [/tex]
[tex] \frac{3*1}{2*11} = \frac{1}{x} [/tex]
[tex] \frac{3}{22} = \frac{1}{x} [/tex]
Cross multiply
[tex] 3x = 22 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{22}{3} [/tex]
[tex] x = 7\frac{1}{3} [/tex]
Number of cups of water to add to 1 cup if salt is 7⅓ cups.
Paula caught a tarpon with a weight that was 11 times as great as the weight of a permit fish she caught. The total weight of the two fish was 168 pounds
Answers
Answer:
Permit fish=14 pounds if thats the question
Tarpon=154
Step-by-step explanation:
IM NOT GOOD AT MATH PLEASE HELP WITH THESE FEW QUESTIONS ASAP
Answers
Answer:
for the first question
solve for t:t= square root of 2da/a (2da over a)
Solve for a : a= 2d/t squared
Solver for d: d=t squared /2(over 2)
Step-by-step explanation:
Evaluate and reduce:
3
4
35 - -
F
Enter the number that belongs in the
green box.
Answers
Answer:
28
Step-by-step explanation:
35/5 ÷ -3/4
=7÷ (-3/4)
=7× (4/-3)
=(7×4)/-3
=- 28/3
the minus is already placed in the question, that makes the answer 28 without the minus
3. An almirah is sold at 5,225 after allowing a discount of 5%. Find its marked price.
Answers
Answer:
4,963.85
Step-by-step explanation:
There is 3 questions help asap
Answers
A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test statistic is t≈1.971, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0.
Select all that apply:
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different.
Answers
Answer:
The correct option is
Option A and Option C
Step-by-step explanation:
From the question we are told that
The sample size of paired men is [tex]n_p = 11[/tex]
The test statistics is t≈1.971
The significance level is α=0.05
The rejection region is t<−2.228 and t>2.228
The null hypothesis is [tex]H_o :\mu_ d=0[/tex]
The alternative hypothesis is [tex]H_a :\mu_ d \ne 0[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
Here [tex]n_1[/tex] is the sample size of father which is [tex]n_1 = 11[/tex]
[tex]n_2[/tex] is the sample size of males who are at least 18 years old which is [tex]n_2 = 11[/tex]
So
[tex]df = 11 + 11 - 2[/tex]
=> [tex]df = 20[/tex]
Generally the critical values of α=0.05 from the t- distribution table at a degree of freedom of [tex]df = 20[/tex] for a two -tailed test is
[tex]t_{0.05 , 20 } = \pm 2.08596345 [/tex]
From the value obtained we see that the critical value is within the region of rejection hence
The decision rule is
Reject the null hypothesis
The conclusion is
The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
Maddy made $22.50 for babysitting for 5 hours for her aunt. Maddy was paid $21.00 for 3.5 hours of babysitting for her neighbor. How much more per hour does Maddy’s neighbor pay than her aunt?
A. $1.00/hr
B. $1.50/hr
C. $2.00/hr
D. $2.50/hr
Answers
Hope this helps!!!!!
Answer: B.1.50
Step-by-step explanation:
22.50 divided by 5 = 4.5
21.00 divided by 3.5 = 6.0
6 - 4.5 = 1.50
This will tell us the differences in
how much money they made.
Write the expression using exponents.
a⋅a⋅c⋅c
Answers
The expression using exponents we can rewrite as [tex]a^2 . c^2[/tex] .
What are exponents ?The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as [tex]2^3[/tex] ) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal [tex]2^3.[/tex] Keep in mind that a number raised to the power of one is itself.Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.The key distinction is that an exponential function has its variable in the exponent, but a power function has its variable in the base.To learn more about exponent refer,
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what is the slope of the linear function represented in the table?
Answers
Answer:-7 I think
Step-by-step explanation:
PLZ HELP FAST
A cruise ship is currently 15 kilometers away from its port and is traveling away from the port at 15
kilometers per hour. The function y = 15x + 15 relates the number of kilometers y the ship will be from
its port x hours from now. How far will the cruise ship be from its port 3 hours from now?
The cruise ship will be______ kilometers away from port in 3 hours.
Answers
Answer:
45
Step-by-step explanation:
Answer: 60 kilometers
Step-by-step explanation:
Plug in your hours:
y = 15(3) + 15
y = 45 + 15
y = 60 kilometers
Hope this helps!
2 An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration. Which equation best describes the total cost, c, given the number of months, m?
Answers
Answer:
The equation should be, 65m+25=c
Answer: it’s going to be c=65m+25
Step-by-step explanation:
PLSSSSSS 15 POINTS
create a discount booklet using
actual advertisements available right
now. Use newspaper or flyers. Must
have actual ads for the work. You
must show your calculations for each
ad.
Answers
It's supposed to represent half of what the people who answer are getting but in total you ow 15 or 16 so it takes that amount
Answer:
You cant make this..
Step-by-step explanation:
I need to turn this in by tomorrow!!!!! PLEASE HELP ME.
Answers
Step-by-step explanation:
Alternate interior angles :- 1 , 4
corresponding angles :- 3
same side interior angles :- 2 , 5 , 6
Can you guys help me with this angle problem for Geometry tysm
Answers
Answer:
You need to solve for x
Step-by-step explanation:
3x + 5 + 10x - 7 = 180
13x + 5 - 7 = 180
13x - 7 = 175
13x = 182
x = 14
Plug in x
3(14) + 5 for QRT and 10(14) - 7 for TRS
QRT = 47 and TRS = 133
Answer:
QRT = 47
TRS = 133
Step-by-step explanation:
The two angles form a straight line so they add to 180
3x+5 + 10x-7 = 180
13x-2 =180
Add 2 to each side
13x-2+2 =180+2
13x= 182
Divide by 13
13x/13 = 182/13
x =14
We want QRT = 3x+5 = 3*14+5 = 42+5 = 47
TRS = 10x-7 = 10*14-7 = 140-7 = 133
IF YOU ARE REALLY GOOD AT MATH PLEASE HELP ASAP!! Select all the correct answers on the table
Answers
Row2.the first and last one
85 miles on 8 gallons of gas
Answers
Answer:
11.6 miles per gallon
Step-by-step explanation:
Answer:
11.6 miles per gallon
Step-by-step explanation:
just divide
I WILL MARK BRAINLIEST BUT PLEASE ANSWER FAST
Answers
Answer:
B
Step-by-step explanation:
It had this question on my test. I already answered it. I put c and got it wrong. The answer is B.