Answer:
1.62
Step-by-step explanation:
hope it helps god bless
Twice the sum of a number and 7 is equal to three times the difference of the number and 8. Find the number.
Answer:
the number is 10.
Step-by-step explanation:
2(x + 7) = 3(x - 8)
2x + 14 = 3x - 24
2x = 3x -10
x = 10
For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that the wife will vote on the referendum is 0.28, and the probability that both the husband and the wife will vote is0.15.
A) What is the probability that at least one member of a married couple will vote?
B) What is the probability that a wife will vote, given that her husband will vote?
C) What is the probability that a husband will vote, given that his wife does not vote?
Answer:
a) 0.34 = 35% probability that at least one member of a married couple will vote.
b) 0.7143 = 71.43% probability that a wife will vote
c) 0.0968 = 9.68% probability that a husband will vote
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
This is used for itens B and C. For item a, we treat the probabilities as Venn sets.
A) What is the probability that at least one member of a married couple will vote?
I am going to say that:
Event A: Husband votes.
Event B: Wife votes.
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
The probability that the wife will vote on the referendum is 0.28
This means that [tex]P(B) = 0.28[/tex]
The probability that both the husband and the wife will vote is 0.15.
This means that [tex]P(A \cap B) = 0.15[/tex]
At least one votes:
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]
[tex]P(A \cup B) = 0.34[/tex]
0.34 = 35% probability that at least one member of a married couple will vote.
B) What is the probability that a wife will vote, given that her husband will vote?
Here, we use conditional probability:
Event A: Husband votes:
Event B: Wife votes
The probability that the husband will vote on a bond referendum is 0.21
This means that [tex]P(A) = 0.21[/tex]
Intersection of events A and B:
Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]
0.7143 = 71.43% probability that a wife will vote.
C) What is the probability that a husband will vote, given that his wife does not vote?
Event A: Wife does not vote.
Event B: Husband votes.
The probability that the wife will vote on the referendum is 0.28
So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]
Probability of husband voting and wife not voting:
0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]
0.0968 = 9.68% probability that a husband will vote
Hunter took a test With 28 questions. If he answered of 2/7 of the questions correctly, how many did he
get wrong?
Answer:20
Step-by-step explanation: If you have a calculator its easy
Answer:
28.5% or you can divide to get your answer
Step-by-step explanation:
so first all you have to do is figure out what 2/7 Is, 2/7= 28.5%
PLEASE HELPPPP 10 points for its!!!!!!!!!!
Answer:
area of the square = (SIDE)2
=( 4)^2
= 16 answer
15x120 helppp what is this and how do u get the answer
Answer:
if this is regular multiplication the answer is 1,800
Step-by-step explanation:
solve the system of equations by using substitution
y=2x-2
2x+y=10
How to you multiply 1/10 X 1.4?
Answer:
a. 1 ÷ 10 = 0.1
b. 0.1 x 1.4 = 0.14
A school bus can hold up to 60 gallons of fuel. Which inequality shows this, using g for the amount of fuel the bus can hold?
Answer:
the answer is .............a
Step-by-step explanation:
Simplify completely and find the restrictions on the variable.
Answer:
[tex]\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringAlgebra II
DiscontinuitiesDomain RestrictionsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x - 12)(x + 2)}{x^2 - 3x - 108}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{(x - 12)(x + 2)}{(x - 12)(x + 9)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{x + 2}{x + 9}[/tex]We know that x cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that x cannot equal 12 because it was canceled out when simplifying.
please help meeeeeeeeeeeeeeeeeeeeee
Answer:
C and G
Step-by-step explanation:
not completely sure if this is correct but i think so lol
so 10% of 200 is 20 because 200*.10=20 , so your first payment would be 20 dollars.
your second payment is 25% of 200 which is 50 because 200*.25=50
adding those two payments together you get 70 dollars , meaning that you need 130 more dollars.
65% of 200 is 130 dollars , so I believe that C and G would be your correct answers
I’m gonna mark brainliest plz answer
Answer:
1) 6
2) 8/125
3) 5
4) 4/5
Step-by-step explanation:
1) 2x2x2x2x2x2 = 64 then 2^6 = 64
2) (2/5)^3 =8/125
3) 3x(3^4) = 3^5
4) sq rt 16/25 = 4/5
5-[6-2-(1-8) -3 +6]+5 =
Answer:
-4
Step-by-step explanation:
5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 =
Simplify.
5 - [6 - 2 + 7 - 3 + 6] + 5 =
Subtract
5 - [4 + 7 - 3 + 6] + 5 =
Add
5 - (11 - 3 + 6) + 5
Subtract
5 - (8 + 6) + 5
Add
5 - 14 + 5
Simplify by adding and subtracting.
-4
good luck, i hope this helps :)
Answer:
[tex]sln \\ 5 - (6 - 2 - (1 - 8) - 3 + 6) + 5 \\ 5 - (4 - ( - 7) + 3) +5\\ 5 - (4 + 7 + 3)+5 \\ 5 - (14) +5\\ 5 - 14 \\ - 9[/tex]+5
=-4
I hope this help
Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?
A. XY = 19 mm, YZ = 11 mm, XZ = 29 mm
В. XY = 19 mm, YZ = 11 mm, XZ = 31 mm
C. XY = 19 mm, YZ = 10 mm, XZ = 30 mm
D. XY = 20 mm, YZ = 11 mm, XZ = 32 mm
It should be C I’m not 100% shor tho
You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?
PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.
Answer:
Can you put the picture of the triangle up
Step-by-step explanation:
I'll change my answer then
DON'T REPORT ME
Answer:
i need a picture to awnser your question
Step-by-step explanation:
Factor the common factor out of each expression 64p - 24
Answer: 8(8p-3)
Step-by-step explanation:
64p and 24 are both divisible by 8
64p/8 = 8p
24/8 = 3
8(8p) - 8(3)
Distributive property
8(8p-3)
You recently saw a news article that included this graph and had the title “A Nation of Procrastinators”. What evidence from the graph supports this title?
Answer: The graph shows that people procrastinate by doing their taxes mostly in April then in the beginning of the year in January
Step-by-step explanation: think about it the name in the title has procrastinated in it which means holding off for a certain amount of time, then look at the graph most the people held off until April, why must you ask? Because the taxes are higher in the beginning of the year
Find the quotient of: (-20xyz) (5zy)
Answer:
the answer would be -4x
Step-by-step explanation:
dividing (-20xyz) by (5zy) = 3
help with this please and thank you
*will mark brainliest*
Answer:25
13
Step-by-step explanation:
Answer:
Group A IQR = $700
Group B IQR = $400
Group A's IQR is Greater Than Group B's IQR, so the salaries in the middle 50% for Group A are More spread out than those for Group B.
Step-by-step explanation:
Subtract the minimum value from the maximum value of each group's big box on the graph to get their IQR's
can somebody help me please
Given parameters :
Camille is 7 years older than Donny Donny is 4 years younger than TommyTo find :
Total ages of the three peopleSolution with details :
Let us take the age of Donny as x years - i
According to the given question we have ,
Camille's age = x + 7 yearsTommy's age - 4 = Donny's age Tommy's age = Donny's age + 4Tommy's age = x + 4 ( from i )Total ages of three people = Sum of their ages
Camille's age + Donny's age + Tommy's age x + 7 + x + x + 4 3x + 11HELPPPPP I WILL GIVE U THE BRAINLEST!!!!
What is the diameter, if the circumference is 24? Round all answers to the nearest
hundredth.
help pls
Find the volume of the composite solid.
Answer:
80cm3
Step-by-step explanation:
volume of the composite solid=volume of the
pyramid+
volume of the
cuboid
volume of the pyramid=1/3* base area*height
=1/3*5*4*6
=40cm3
volume of the cuboid=base area *height
=5*4*2
=40cm3
volume of the composite solid=40cm3+40cm3
=80cm3
10. If possible, determine whether or not triangles LQP and LMN
are similar. Give a detailed explanation for your answer.
PLEASE HELP!!
Answer:
They are similar
Step-by-step explanation:
If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.
This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:
LM/LQ = LN/LP
LM = 100
LQ = 12
LN = 75
LP = 9
LM/LQ = 100/12 = 25/3
LN/LP = 75/9 = 25/3
LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.
Find the slope y = 6x-1
Answer: the slope should be 6 I’m sure
Step-by-step explanation:
Answer:
y
=
−
6
x
−
1
Step-by-step explanation:
x-1
Please help ASAP. Thanks so much
Answer:
A
Step-by-step explanation:
Easy method for this question is to plug the point (-1,7)
Plug -1 as x and hope we can get 7
[tex]y =-2(-1+1)^{2}+7\\y=7\\[/tex]
The students at your school are taking a field trip to a science museum 154 miles away. If the school bus traveled 154 miles in 1.9 hours, what would be the speed of the school bus?
Answer.
The school but would have been driving at about 81 miles per hour.
Fun note.
The bus driver would have gotten a speeding ticket on almost all national highways in America if they were going at that speed.
Jack knows that one-third of his total trip is 640 miles. How far is Jack's total trip?
Find the measure ZBCD in the
following parallelogram.
Answer:
I think the answer is 2
x=1
Step-by-step explanation:
2x=2x
divide
x=1
plug it in
1×2
A local ice cream store wanted to see if there was a linear relationship between average temperature on any given day and their ice cream sales. After recording sales and temperatures for 15 randomly selected days they calculated b1 to be equal to 1.24 and a standard error of b1 to be equal to 2.59. Using the appropriate equation, calculate the test statistic is to test if there is a linear relationship between these two variables. Round to two decimal places as necessary. 0.48.
Answer:
the test statistic is 0.48
Step-by-step explanation:
Given that;
sample size n = 15
slope of regression b1 = 1.24
Standard of error SE = 2.59
now,
The hypothesis;
Null hypothesis H₀ : B1 = 0
Alternative hypothesis H₁ : B1 ≠ 0
If there is significant relation between variable x and dependent variable y, the slope will not be equal to zero.
Test Statistic
t = b1 / S.E
we substitute
t = 1.24 / 2.59
t = 0.4787 ≈ 0.48
the test statistic is 0.48
It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram or another strategy to show your thinking.
(PLEASE ANSWER ITS DUE IN 20 MINUTES!)
Answer: 24 ???
Step-by-step explanation:
4 mins to run 5 ... so im guessing it goes by 5
5 = 4
10 = 8
15 = 12
20 = 16
25 = 20
30 = 24
I am not sure if its right but that what i think ( you can use a table btw one colom that says laps and starts with 5 then the other colom that says mins and starts with 4
Hope its right Good Luck have a good rest of your day