Answer:
Move the terms with a to one side
3a-2a =-6
Substract
a=-6
Answer:
[tex]a = - 6[/tex]
Step-by-step explanation:
1) Subtract 3a from both sides.
[tex]6 = 2a - 3a[/tex]
2) Simplify 2a - 3a to -a.
[tex]6 = - a[/tex]
3) Multiply both sides by -1.
[tex] - 6 = a[/tex]
4) Switch sides.
[tex]a = - 6[/tex]
So, therefor, the answer is, a = -6.
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:
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
I WILLL GIVE THE BRAINLEST!!!!
If a circle has a radius of 4 cm, what is the circumference? Enter a numerical value
only. Round all answers to the nearest hundredth.
Answer:
25.13
Step-by-step explanation:
C=2πr=2·π·4≈25.13274cm
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
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:
A can of tomato soup has a circular base with a diameter of 7 cm. If the surface area of the can is 104.3 cm. What is the height of the can?
Answer:
1.243 cm
Step-by-step explanation:
The surface area of a cylinder is the sum of the area of the two congruent circular bases and the rectangular lateral area.
[tex] SA = 2\pi r^2 + 2 \pi rh [/tex]
[tex] SA = 2\pi r(r + h) [/tex]
We are given the surface area and the diameter.
r = d/2 = 7 cm / 2 = 3.5 cm
We can solve for h, the height.
[tex] SA = 2\pi r(r + h) [/tex]
[tex] 2\pi r(r + h) = SA [/tex]
[tex] r + h = \dfrac{SA}{2\pi r} [/tex]
[tex] h = \dfrac{SA}{2\pi r} - r [/tex]
[tex] h = \dfrac{104.3~cm^2}{2(3.14159)(3.5~cm)} - 3.5~cm [/tex]
[tex] h = 1.243~cm [/tex]
Please help due tonight will give good review and brainliest!
Answer:
True
Not true
true
True
Step-by-step explanation:
A, C, E
A, C, D
B, D, E
C, D, E
Answer: A C and E (1st choice)
Step-by-step explanation:
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
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.
Solve for AC and AB. 10 points.
Answer:
AC = 7.29 in
AB = 11.58 in
Step-by-step explanation:
tan 51 = 9/AC
1.2349 = 9/AC
AC = 7.29 in
sin 51 = 9/AB
0.7771 = 9/AB
AB = 11.58 in
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
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
what is 4/90 reduced
Answer:
2/45
Step-by-step explanation:
divide both sides by 2
4/2=2
90/2=45
2/45
Examine the diagram. It is not drawn to scale.
What is the m_3?
m_3=
Answer:
I think 12 I don't know if it's right or not but I tried
Answer:
its 105 :)
Step-by-step explanation:
its 100% correct <3
At Nolan's Car Rentals, customers will pay $60 to rent a mid-sized car for the first day, plus $5 for each additional day. At Westford Rent-a-Car, the price for a mid-sized car is $50 for the first day and $10 for every additional day beyond that. Find the solution to the system.
Answer:
2, 70
Step-by-step explanation:
It is given that :
At Nolan's Car rentals, if a customer rents a car, he or she has to pay $60 for the car for the first day and more $ 5 for every additional days.
Therefore this gives the equation :
y = 5x +60 ..........(1)
At Westford car rental, the price of the car for first day is $ 50 and additional $10 for every additional day.
So the equation will be :
y = 10x + 50.......(2)
Solving (1) and (2), we get
5x + 60 = 10x + 50
⇒ 60 - 50 = 10x - 5x
⇒ 10 = 5x
∴ x = 2
Now putting the value of x = 2 in equation (1), we get
y = 5x +60
y = 5(2) +60
y = 70
Therefore, (x, y) = (2, 70)
Jaden earned $54 every nine days based on this information how many days will it take Jaden to earn $96
Answer:
it will take her 16 days
Step-by-step explanation:
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:
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
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)
1) Ellen Murphy manages an Auto Film outlet that
applies window films to automobile windows.
She reported that last week a total of 28 autos had
window film applied. Auto Film charges $129.99
for a four-door sedan and $99.99 for a two-door
coupe. If Ellen had total receipts for the week of
$3,459.72, how many four-doors sedans had been
serviced? How many two-door coupes?
Answer:
Four-door sedan = 22
Two-door coupes = 6
Step-by-step explanation:
This is an algebra problem.
Let "x" represent number of four-door sedan,
"y" represent two-door coupe.
Since there are total of 28 autos on which film is applied, we have:
x + y = 28 Equation 1
y = 28 - x Equation 2
Also provided,
Total revenue = $3,459.72
That means,
129.99x + 99.99y = 3,459.72 Equation 3
Putting value of "y" from Equation 2 in Equation 3 we have:
129.99x + 99.99(28 - x) = 3,459.72
129.99x + 2,799.72 - 99.99x = 3,459.72
30x = 660
x = [tex]\frac{660}{30} = 22[/tex]
Therefore, number of four door sedans = 22
Further y that is two door sedan = 28 - x = 28 - 22 = 6
Jake feeds some chickens 1/8 of a bag of chicken feed each day. If he has 8 bags of feed, how many days will the feed last?
Answer: 64 days
Step-by-step explanation: 1/8 every day, so he has 1 bag per 8 days, 8 bags, so 8x8 = 64 days.
In the rectangle below what is X?
Answer:
X= 82°
Step-by-step explanation:
Since we know ∠DAB is 41°, we also know that ∠CBA is 41°, since they must be equal. This tells us that the bottom angle of that triangle must be 98°, since the sum of all interior angles must equal 180°. Since this angle is supplementary to x, we know that x must equal 82°.
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?
Someone help me with this.
Answer:
2x² + 13x + 15
Step-by-step explanation:
| 2x | 3
x | 2x*x = 2x² | 3*x = 3x
5 | 2x*5 = 10x | 3*5 = 15
We have, 2x² + 3x + 10x + 15
Combining like terms, we would have the final expression as:
2x² + 13x + 15
1/6 x 1/8
&
1/2 x 1/3
answer:
1/48 & 1/6
Step-by-step explanation:
will give brainliest !!!
Answer:
B. E' ( -1, 1)
Step-by-step explanation:
5 to the left =
4 - 5
2 up =
-1 + 2
good luck, i hope this helps :)
What is the mode of the data set (30,28,30,45,40,37,35)? Level 1-2
28
30
45
37
help helpppp
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 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]