Slove for the indicated variable in the literal equation. real answers
P = -3 - 4L - 6 for L
Given:
The equation is
[tex]P=-3-4L-6[/tex]
To find:
The formula for L.
Solution:
We have,
[tex]P=-3-4L-6[/tex]
It can be written as
[tex]P=(-3-6)-4L[/tex]
[tex]P=-9-4L[/tex]
We need to isolate variable L.
Adding 6 on both sides, we get
[tex]P+6=-4L[/tex]
Dividing both sides by -4, we get
[tex]\dfrac{P+6}{-4}=L[/tex]
[tex]\dfrac{P}{-4}+\dfrac{6}{-4}=L[/tex]
[tex]-\dfrac{P}{4}-1.5=L[/tex]
Therefore, the required value of L in terms of P is [tex]L=-\dfrac{P}{4}-1.5[/tex].
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:
There are 12 negative charges and 8 positive charges. Which integer represents the total value of the charges?
Answer:
-4
Step-by-step explanation:
-12 + 8
-4
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]
if the spinner is spun twice what is the probability that the spinner will stop on a vowel then a consonant?
Answer:
1/9 is correct
1/3 for 1st spin, 1/3 for 2nd spin. You just multiply them.
round off 9.999 to the nearest 10
Answer:
the answer is 10 you round up a nine it keeps going to the end
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
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]
I need help! ANSWER THIS QUICK
Answer:
Step-by-step explanation:
Diameter = 84 km
Radius = 84/2 = 42 km
Area of circle = πr²
= 3.14 * 42 * 42
= 5538.96 km²
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
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
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?
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
Writing and Evaluating an Algebraic Expression Try it five more than the product of two and a number, decreased by seven; evaluate when a = 8
Answer:
7
Step-by-step explanation:
dont trust me i dont know the answer sry
Answer:
ya
Step-by-step explanation:
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.
A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?
Answer:
15
Step-by-step explanation:
Answer:
21 ounces.Step-by-step explanation:
This is percentage increase.In order to find that, we simply do:
(100+25)% = 125%
100% = 12 ounces
125% = ?
12*125/100 = 9 ounces
Add it up to the original amount:
12+9 = 21 ounces
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
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)
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:
8 grade solution plobem, first explantion gets brainest
Answer:
x=8
y=1/6x+4/6
y= 2
Step-by-step explanation:
help help help help
thanks
Answer:
3, each number is being multiplied by a factor of 3
write the place value of the 5 in each number. a) 1 325
Answer:
Place Value of 5 in 1325 is 'Thousands'
HELPPPPP I WILL GIVE U THE BRAINLEST!!!!
What is the diameter, if the circumference is 24? Round all answers to the nearest
hundredth.
In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree
Answer:
M= 16.8868 ≈ 16.9
Step-by-step explanation:
Suppose that J and K are points on the number line. If Jk=5 and J lies at -12 where could K be located?
k would be located at
What are the values of m and n in each right triangle
We have 20 weeks left from school before the summer. How many days is left? Show me how you found the answer.
Answer:
140 days
Step-by-step explanation:
there are 7 days in 1 week so just multiply 20 by 7 which is 140, to make it easier multiply 2 by 7 which is 14 then add the 0 soo 140.
Hope this helps :)
Help me with this please 100 points if its done right
Answer:
[tex]P=24\sqrt{x}[/tex] and [tex]A=36x[/tex]
Step-by-step explanation:
To find the perimeter of the triangle, you have to add all the sides of the triangle. So, we get:
[tex]P=8\sqrt{x} +7\sqrt{x} +9\sqrt{x}[/tex]
Combine like terms, meaning the numbers with [tex]\sqrt{x}[/tex]
[tex]P=24\sqrt{x}[/tex]
To find the area of the triangle, we will use the formula [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height
The base is: [tex]9\sqrt{x}[/tex]
The height is: [tex]8\sqrt{x}[/tex]
Plug and chug:
[tex]A=\frac{1}{2} *9\sqrt{x} *8\sqrt{x}[/tex]
[tex]A=\frac{1}{2} *72x\\A=36x[/tex]
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
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: