Answer:
1407.43
Step-by-step explanation:
Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.
If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is .
The probability that 3 out of the next 5 voters approving the proposal is
Answer:
Probability that 3 out of the next 5 voters approving the proposal is 0.3125.
Step-by-step explanation:
We are given that the sample probability of the voters approving the proposal is 50% and Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal.
The above situation can be represented through binomial distribution;
[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]
where, n = number of trials (samples) taken = 5
r = number of success = exactly 3
p = probability of success which in our question is probability of
the voters approving the proposal, i.e; p = 50%
Let X = Number of voters approving the proposal
So, X ~ Binom(n = 5 , p = 0.50)
Now, Probability that 3 out of the next 5 voters approving the proposal is given by = P(X = 3)
P(X = 3) = [tex]\binom{5}{3} \times 0.50^{3} \times (1-0.50)^{5-3}[/tex]
= [tex]10 \times 0.50^{3} \times 0.50^{2}[/tex]
= 0.3125
Solve for k. Describe the steps taken to find the solution.
8 + 10 - 6k = 6(4 - k)
Answer:
no solutions
Step-by-step explanation:
8 + 10 - 6k = 6(4 - k)
Distribute
8 + 10 - 6k = 24 -6k
Combine like terms
18 -6k = 24 -6k
Add 6k to each side
18 - 6k +6k = 24 - 6k+6k
18 = 24
This is never true so there are no solutions
Hey there! I'm happy to help you out!
To solve for k, we have to isolate it on one side of the equation and put all the constants on the other side.
The first thing we need to do is get the k on the right side out of parentheses. To do this, we will use the distributive property!
8+10-6k=24-6k
Now, we will combine like terms.
18-6k=24-6k
We want to get all the ks on the left side and all the constants on the right. Let's add six k to both sides to cancel out the -6k on the right.
18=24
As you can see, our variables canceled out. This is because our equation was saying 18 minus six of something was equal to 24 minus six of something, which makes no sense because that doesn't work!
We are left with 18=24, which isn't even a true equation! Therefore, there is no solution to this equation.
I hope that this helps! Have a wonderful day!
PLEASE HELP ME! I'm really confusedddddddd!
Answer:
1) Negative (because y value decreases from left to right)
2) Undefined (a vertical line has undefined slope because it fails the vertical line test infinite times)
3) Positive (because y value increases from left to right)
Step-by-step explanation:
18. Describe the shape of the data distribution.
Answer:
B.
Step-by-step explanation:
The shape of data distribution is "symmetric".
Surface area of a cylinder in terms of pi
Find the Slope. (Slopes are incredibly difficult for me at the time could you help??)
Answer:
[tex]\frac{rise}{run} =\frac{4}{1} =4[/tex]
Step-by-step explanation:
Hunter assumed he would get 64 problems correct on his test, but he actually got 78 correct. What was his percent error? Round to the nearest percent
Answer:
=82%
Step-by-step explanation:
64:78*100=82%
The radius of a circle is 4 miles. What is the area of a sector bounded by a 180 arc?
Answer:
The area of sector is [tex]25.12 miles^2[/tex]
Step-by-step explanation:
Radius of circle = 4 miles
We are supposed to find the area of a sector bounded by a 180 arc
[tex]\theta = 180^{\circ}[/tex]
Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]
Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]
Area of sector = [tex]25.12 miles^2[/tex]
Hence The area of sector is [tex]25.12 miles^2[/tex]
A box is designed to hold pencils. The front of the box will be made from a clear material for display. The rest of the box will be made from cardboard.
A prism has a length of 20 centimeters, height of 5 centimeters, and width of 4 centimeters.
What is the surface area of the side with the clear material?
Answer:
area of a rectangle/front side of the box = 100 cm²
Step-by-step explanation:
The prism box is a rectangular prism and the front side of the box will be made of the clear material. The other sides will be made of cardboard paper. The surface area of the side with clear material is only the area of the front side of the box. The area of only the front side is the area of 1 rectangle.
The box has a length of 20 cm , height of 5 cm and a width of 4 cm. The surface area of only the front side of the box which is the area of one rectangle only deals with the height and the length.
area of a rectangle/front side = length × height
where
length = 20 cm
height = 5 cm
area of a rectangle/front side = 20 × 5
area of a rectangle/front side = 100 cm²
Answer:
D. 100
Step-by-step explanation:
20x5=100
I did the test! Good luck with the rest of your test! Have a good day/night! <3
Can someone pls help
Answer:
a=he went back home
b=speed=240km/h
Step-by-step explanation:
ps: wouldn't mind brainliest
Answer:
a) Jo moved 1 kn from her starting position at minute 10
b) 0.13 km/min
Step-by-step explanation:
Look at the picture
PLEASE HELP. WILL GIVE 30 POINTS AND BRAINLIEST!!!!
In one school, a half of all students who like math like science as well. Also, in that school, a third of all students who like science also like math.
b)
In that school, what is the ratio of the number of students who like math to the number of students who like science?
Answer: Is there a total for how many kids like each? If there isn't than this is how I would solve it. For percentage purposes let's say there are 100 students. 50 like math, 50 like science. Half of the students who like math also like science, which means 75 percent of the school likes science. A third of students who like science also like math, and since 75 percent of the school of 100 children likes science, that would mean 1/3 of that is 25, which would mean 75 percentof all students like math. Hence the ratio, I believe, is 1 to 1.
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
Answer:
well if you add the third of students to math and the third of students from science I think thats the answer
Step-by-step explanation:
Can some one help me???
Answer:
You will break even with the cost of your supplies equals your income how many cups of your hot chocolate and less you sell to break even
Step-by-step explanation:
When Sophia runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 1.1 second. What probability of races will her finishing time be between 74.2 and 76.4 seconds?
Round to the hundredths place (2 places after the decimal)
Answer: 90% of the time.
Step-by-step explanation: This is because you can add the two different times and the standard time of 75 seconds, divide it all by 3 leaving you with 75.2 and that is 0.2 away from the original between those times all together. Take that 0.2 and subtract it from the 1.1 deviation and you’ll get 0.9 times that by 100 and you get it in a percentage; 90%.
If A and B are independent events and P(A) = 0.8 and P(A and B) = 0.3, find P(B).
*
3/8
6/25
8/3
25/6
Answer:
6\25
Step-by-step explanation:
What is the slope of the line that passes through the points (4, 10) and (1, 10)?
Write your answer in simplest form
Answer:
The slope will be 0
Step-by-step explanation:
Once you do the slope formula which is y2 - y1 over x2-x1
You will get 0/3 in this case. So if the numerator is a 0 the slope will also be 0.
The slope of the a straight line is given by the ratio of the Rise to the Run
of the line. The rise between the given points is zero.
The slope of the line that passes through the points (4, 10) and (1, 10) is zero.
Reason:
The given points are; (4, 10) and (1, 10)
The slope of a line, m, is given by the following formula;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) = (4, 10) and (x₂. y₂) = (1, 10), we get;
[tex]Slope, \, m =\dfrac{10-10}{1-4} = 0[/tex]
The slope of the line that passes through the points (4, 10) and (1, 10) is 0.
Learn more here:
https://brainly.com/question/19506739
Is it easier to calculate surface area of a net or 3D figure? Explain your reasoning.
Answer:
I think it is easier to calculat the surface area with a net.
You get to see the 3d picture in 2d so it is easy to find the area of the shape.
Which statement can you be sure is true?
A.
NO
is parallel to ML.
B.
NO
is proportional to ML.
C.
NO
is not parallel to ML.
D.
None of the above is true.
Answer:
C
Step-by-step explanation:
NO is not parallel to ML.
(3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)
Answer: [tex]-2x^3-14x^2+7x-4[/tex]
Step-by-step explanation:
[tex](3x^3-2x^2+4x-8)-(5x^3+12x^2-3x-4)[/tex]
Distribute the negative sign.
[tex](3x^3-2x^2+4x-8)-5x^3-12x^2+3x+4[/tex]
Remove the other parentheses.
[tex]3x^3-2x^2+4x-8-5x^3-12x^2+3x+4[/tex]
Combine like terms.
[tex]-2x^3-14x^2+7x-4[/tex]
What is easy-access credit?
A) credit that is to be repaid in full by a specific date
B) a loan given for a short period of time that is not dependent on credit history
C) the amount of money borrowed excluding accrued interest
D) an amount of time during which a loan can be repaid without interest
The answer is B. Loan given for a short period of time that is not dependent on credit history
I just took the quiz and I am big brain.
A loan given for a short period of time that is not dependent on credit history is called a easy - access credit.
What is credit?Credit is the ability to borrow money or access goods or services with the understanding that you'll pay later.
Given is the easy-access credit.
Easy access credit refers to very short-term and usually very high interest loans. It's a fancy way of saying payday loans, pawn shop transactions, or title loans.
Therefore, a loan given for a short period of time that is not dependent on credit history is called a easy - access credit.
To solve more questions on credits, visit the link below-
https://brainly.com/question/29632930
#SPJ2
PLEASE HELP ME GREATLY APPRECIATE IT
Answer:
D
Step-by-step explanation:
Look at the attachment
What is the constant of proportionality between y and x in the graph
Answer:
I think its 2
Step-by-step explanation:
I counted by ones and then i found that the pint is between 4 and 2 so when i divided 4 by 2 and i got 2
Hope this helps Ask if i am wrong Brainliest plzSolve the following problem:
Given: △SAL, SA = LA
AT − ∠bisector
Prove: m∠L = m∠S
Answer:
[tex]\angle L=\angle S[/tex] using congruence rule
Step-by-step explanation:
Given: ΔSAL, SA = LA and AT is the bisector of [tex]\angle A[/tex]
To prove: [tex]\angle L=\angle S[/tex]
Proof:
Two triangles are congruent if they have same shape and same size.
Consider triangles ALT and AST
AL = AS
As AT bisects [tex]\angle A[/tex], [tex]\angle LAT=\angle SAT\\[/tex]
AT = AT (common side)
So, [tex]\Delta ALT\cong \Delta AST[/tex] ( by SAS congruence rule )
Here, SAS denotes side-angle-side
[tex]\angle L=\angle S[/tex] (using corresponding parts of congruent triangles)
Hence proved
Explanation:
First, we know that △ALT ≅ △AST, because of Side Angle Side Theorem. Next, we know that AL ≅ AS, because it's given.
Since A = A, we can remove A and it gives us m∠L = m∠S.
If you need to show work in math terms, your answer should look something like this:
1. △ ALT ≅ △AST - SAS
2. AL ≅ AS - Given
3. m∠ L ≅ m∠S
Hope this helped!
The image of the point (1, -2) after a rotation of 180° about the origin is
(-2, 1)
(2, -1)
(-1, 2)
Answer:
(-1,2)
Step-by-step explanation:
Found answer on brainly.
Answer:
(-1,2)
Step-by-step explanation:
In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).
(1,-2)×(-1x, -1y)= (-1,2) .
if both points were negative, the points would be positive. if they were positive, they would be negative.
PLEASE HELP ME
10 points
Answer:
Between -2 and 0
Step-by-step explanation:
plz help
(2x/0.25)−0.525=7.475
what's x?
Answer:
i used calculator and got 1
Step-by-step explanation:
What is the volume of the following triangular prism?
60 cm3
12 cm3
3.75 cm3
6 cm3
Answer:
what prism?
I've done the same test before so I know the answer is 6 cm3
Could you please include the picture of the prism next time?
Step-by-step explanation:
Answer:
Im a bit late but the answer us 6 cm3
Step-by-step explanation:
The formula to find the volume of a triangular prism is
(1/2 x length x width) x height
or in other words
base x height
The base is the triangle on the side of the prism.
Help me I will give you brainliest!!!!
Answer:
2/36
Step-by-step explanation:
There are 36 possibilities when rolling a die
There are 2 that sum to 11
P (sum of 11) = sum of 11/ total
=2/36
1/18
Adam and Martha each performed a simulation.
Adam's simulation
• He tossed a fair coin 4 times.
• Each time the coin landed with tails face up.
Martha's simulation
• She randomly chose 1 block from each of two bags containing blocks.
• Each block she chose was labeled with the letter R.
The probability for both Adam's and Martha's simulation were the same. Which two bags could be the
ones Martha used in her simulation?
Answer:
Its D
Step-by-step explanation:
AC =
Round your answer to the nearest hundredth.
4
Write the expression as a single natural logarithm. 3 ln 6 + 4 ln x
Answer:
ln(216[tex]x^{4}[/tex] )
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log(xy)
log [tex]x^{n}[/tex] ⇔ n log x
Given
3ln6 + 4lnx
= ln 6³ + ln[tex]x^{4}[/tex]
= ln (216[tex]x^{4}[/tex] )
