Answer:
a6 = -3072
Step-by-step explanation:
Put 6 where n is and do the arithmetic.
Since the form of your function looks like it is trying to describe a geometric sequence, we assume you actually mean ...
an = 3(-4)^(n-1)
So, for n=6, this has the value ...
a6 = 3(-4)^(6-1) = 3(-1024)
a6 = -3072
_____
Same deal if you really mean
an = -12n -1
a6 = -12(6) -1 = -73
2. Two researchers, Beth and Frank, ask a random sample of teenagers whether or not they had
been to the movies in the last month. They find that their sample proportion (p) of teens who
said yes was .8 (80%) When they construct a confidence interval based on this sample
proportion, Beth comes up with (.73, 87) while Frank gets (175, 89). Indicate which interval
has to be wrong, and explain your choice. (4 pts)
Answer:
Frank's confidence interval, (.75, .89) has to be wrong.
The explanation is presented below.
Step-by-step explanation:
The Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Margin of Error is the width of the confidence interval about the mean.
So, a sample proportion of 80% indicates that Beth's interval of (.73, .87) gives a margin of error of 7%.
Making the lower limit of the interval be
(Sample proportion) - (Margin of error) = 80 - 7 = 73%
Upper limit of the interval = (Sample proportion) + (Margin of error) = 80 + 7 = 87%
Hence, this confidence interval is plausible for the survey carried out.
But Frank's interval of (.75, .89) doesn't work with the definition of a confidence interval given above. The range has to be equally spread around the mean with (lower limit, upper limit). The lower limit cannot be 75 and the upper limit 89.
If the lower limit is truly 75, the margin of error has to be (80 - 75), 5%. And the corresponding upper limit should be (80 + 5), 85%.
Frank's interval as (.75, .85) would have been more plausible.
And if the upper limit is truly 89%, the fiitting lower limit, judging by the distance of the upper limit from the sample proportion (89 - 80 = 9%), should be (80 - 9), 71%. Frank's interval as (.71, .89) would also have been more plausible.
Hope this Helps!!!
Sheila earns $8 per hour at her afterschool job. After working one week, she received a paycheck for $104. Write and solve an equation to find the number of hours Sheila worked. Fill in the blank with the solution only.
Answer:
13
Step-by-step explanation:
It should just be 104 divided by 8 which equals=13
Find the missing value:
2 : x = 6 : 15
nts
Answer:
x = 5
Step-by-step explanation:
2 : x 6 : 15
Divide the second by 3
6/3: 15/3
2:5
x = 5
2:x is the simplified version of 6:15.
So, we can divide to find the value of x.
6/3:15/3
2:5
Therefore, the value of x is 5.
Bes of Luck!
S. Solve the following system of equations algebraically.
3x-y = 0
5x + 2y = 22
Part II: Combine the two equations to eliminate one of the variables. Show the result of this
combination below. (2 points)
Answer:
11x = 22(x, y) = (2, 6)Step-by-step explanation:
Twice the first equation can be added to the second to eliminate the variable y.
2(3x -y) +(5x +2y) = 2(0) +(22)
11x = 22 . . . . . . . the result of the combination
__
Solving this gives ...
x = 2
Substituting into the first equation gives ...
3(2) -y = 0
y = 6
The solution is (x, y) = (2, 6).
profit 75% retail $350. what is cost at wholesale
Answer:
Step-by-step explanation:
350-75%=87.5\\so 350-87.5\\=262.5\\$262.5 dolla profit\\
Which category is not one of the major responsibilities of state government?
A. Economic development
B. Corrections
C. Electrical power
D. Law enforcement
Answer: C electricity
Step-by-step explanation:
It is
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:C and E
Step-by-step explanation:
x^2-6x+40=6x+5
Arrange the equation to equal zero
x^2-6x-6x+40-5=0
x^2-12x+35=0
x^2-7x-5x+35=0
x(x-7)-5(x-7)=0
(x-5)(x-7)=0
x-5=0 or x-7=0
x=5 Or x=7
Can someone explain it to me please(? C:
I don’t know how to solve the problem when there’s two different variables next to each other.
Answer:
11
Step-by-step explanation:
just put the values in for the variables
5(3)(1) - 4(1)
15(1) - 4(1)
15 - 4
11
(Brainliest pleaseee)
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
True
Step-by-step explanation:
You should always check just in case a mistake or miscalculation was made. To check, substitute the value you got for the variable into the equation and solve.
For example,
x=2
8x-2=14
Substitute 2 in for x
8(2)-2=14
16-2=14
14=14
Since this is true, we know that 2 is the correct solution.
Which of the following is not a binorrial experiment?
a Asking 100 people whether or not the like pizza.
b. Measuring the height of 100 people to see if they are over 61.
Asking 100 people what their favorite color is.
d. Asking 100 people if their favorite color is red.
Answer:
You don't need experiments to ask people questions
Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5
Answer:
y = 3x-6
Step-by-step explanation:
y = 3x−5
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
m =3
Parallel lines have the same slope
We have the slope m=3 and a point (2,0)
y = mx+b
y = 3x+b
Substituting the point into the equation to solve for b
0 = 3(2)+b
0 = 6+b
b = -6
y = 3x-6
Answer:
y = 3x - 6
Step-by-step explanation:
Parallel lines have the same slope,
So m = 3
y - 0 = 3(x - 2)
y = 3x - 6
I NEED HELP PLSSS
Find the value of x.
Answer:
1) x= 43
2) x= 54
Step-by-step explanation:
you add the two angles given, then take that answer and subtract it from 180!
i hope this helped!!
Answer:
[tex]1. \: \: \: 7 \\ 2. \: \: \: 54[/tex]
Step-by-step explanation:
[tex]1. \: \: \: 72 - 65[/tex]
[tex]2. \: \: \: 90 - 36[/tex]
Happy to help:))
A certain television is advertised as a 45-inch Tv (the diagonal length). if the width of the TV is 36 inches, how many inches tall is the TV?
Answer:
27
Step-by-step explanation:correct answer
hope this helps
plz mark me the brainliest
There were 3,342 students enrolled at a university of those students 587 graduated in may over the sumer 32 students left the university and 645 new students enrolled in the fall how many students were enrolled in the fall
Answer:
645
Step-by-step explanation:
it says 645 were inrolled in the fall
Show steps how to solve for y!!!!!
2y+2=3y/2
Please help me
[tex]\text{Solve for y:}\\\\2y+2=\frac{3y}{2}\\\\\text{Multiply both sides by 2 to cancel the denominator}\\\\4y+4=3y\\\\\text{Subtract 3y from both sides}\\\\y+4=0\\\\\text{Subtract 4 from both sides}\\\\\boxed{y=-4}[/tex]
Answer:-4
Step-by-step explanation:
2y+2=3y/2
Cross multiply
2(2y+2)=3y
Open bracket
4y+4=3y
Collect like terms
4y-3y=-4
y=-4
Subtract fifteen and eighty-eight ten-thousandths from thirty-six. Express your answer in numerical and word form.
Answer:
20 and nine thousand nine hundred and twelve ten thousandth
Step-by-step explanation:
fifteen and eighty-eight ten thousandth =15 88/10000
Thirty six=36
36 - 15 88/10000
36 - 150088/10000
(36x10000 - 150088)/10000
(360000 - 150088)/10000
209912/10000=20 9912/10000
20 and nine thousand,nine hundred and twelve ten thousandth
The value of the expression [36 - (15 + 88 / 10,000)] is 20.9912.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Subtract fifteen and eighty-eight ten-thousandths from thirty-six. Then the expression is given as,
⇒ 36 - (15 + 88 / 10,000)
The value of the expression is calculated as,
⇒ 36 - (15 + 88 / 10,000)
⇒ 36 - (150,088/10,000)
⇒ (360,000 - 150,088) / 10,000
⇒ 209,912 / 10,000
⇒ 20.9912
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Write the fraction in lowest terms.
28
32
Answer:
7/8
Step-by-step explanation:
28/32
Divide the top and bottom by 4
28/4 = 7
32/4 = 8
28/32 = 7/8
what is the image of the point -6 and 4 after a rotation of 180 degrees counterclockwise about the origin
Step-by-step explanation:
6 and -4
Graph the equation y=x²-8x+7 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Answer:
vertex is: (4,-9)
y intercept= (0,7)
roots= (1,0) and (7,0)
Step-by-step explanation:
so we can use factoring to solve this quadratic equation real quick:
x^2-7x-1x+7
x(x-7)
-1(x-7)
(x-1)(x-7)=0
x-1=0
x=1
x-7=0
x=7
(1,0) and (7,0) are the roots
axis of symmetry: 8/2=4
substitute axsis of symmetry in equation to get vertex:
4^2-8(4)+7
16-32+7
-16+7=-9
vertex is: (4,-9)
y intercept= (0,7)
roots= (1,0) and (7,0)
Hope this helps
4 points
The base of a rectangular swimming pool is sloped so one end of the pool is 6 feet
deep and the other end is 3 feet deep, as shown in the figure. If the width is 15 feet,
find the volume of water it takes to fill the pool.
20 ft
6 ft
10 ft
Your answer
Answer:
1575 cubic feet
Step-by-step explanation:
The MIT soccer team has 2 games scheduled for one weekend. It has a 0.4 probability of not losing the first game. and a 0.7 probability of not losing the second game, independent of the first. If it does not lose a particular game, the team is equally likely to win or tie. independent of what happens in the other game. The MIT team will receive 2 points for a win, 1 for a tie. and 0 for a loss. Find the PMF of the number of points that the team earns over the weekend.
Answer:
Step-by-step explanation:
To determine the PMF of the points that the team receive, we must determine the probabilities of winning each of the games.
Consider the firt game. We know that the probability of not losing is 0.4. Since the team can either lose the game or not, we have that the probability of losing it is 0.6. We are told that given that the team does not lose, the probability of winning or having a tie is the same. Recall that, given events A, B, the conditional probability P(A|B) (which means probability of A given B) is given as
[tex]P(A|B) = \frac{P(A\cap B)}{P(B)}[/tex]
in our case, we have that B:= not losing the game. Consider A:= To win the game, C:= To tie the game. We know that P(A|B)=P(C|B). When the team doesn't lose, then the team either ties or wins, this means that
[tex]P(A|B)+P(C|B) = 1[/tex]
So we get that P(A|B) = P(C|B) = 1/2. Let us find P(A)
[tex]P(A|B) = \frac{P(A\cap B)}{P(B)} = \frac{P(A)}{P(B)}=\frac{1}{2}[/tex]
Then [tex]P(A) = \frac{P(B)}{2} = 0.2[/tex]. By an analogous calculation we have that P(A) = P(C) = 0.2.
We will define the following events: [tex]W_i[/tex] is the event that the team wins the game i, [tex]T_i[/tex] is the event that the team ties the game i and [tex]L_i[/tex] is the event that the team loses the game i. In this notation, we have that
[tex]P(W_1) = P(T_1) = 0.2, P(L_1) = 0.6[/tex]
By reasoning the same way for the second game, we can calculate that
[tex]P(W_2)=P(T_2)=0.35, P(L_2) = 0.3[/tex]
To calculate the PMF we must check all the possible outcomes of the results of both games. Since we can either win (W), tie(T) or lose(L) a game, we will express the outcome as follows TW(3) means that the team ties the first game and wins the second one, for a total of points. In this way, the possible outcomes are
WW(4), WT(3), WL(2), TW(3), TT(2), TL(1), LW(2), LT(1), LL(0)
We see that the number of possible points are 0,1,2,3,4. Let X be the number of points, to get the pmf of X is to give the probability P(X=k) for k=0,1,2,3,4 explicitly. Note that since each game is independent of each other, to get the probability of one of the outcomes it suffices to multiply the probability of each event. For example we have that [tex]P(WW) = P(W_1)\cdotP(W_2) = 0.07[/tex]
Then, the pmf is given by
[tex]P(X=0) = P(LL) = 0.18[/tex]
[tex]P(X=1)=P(LT)+P(TL) = 0.27[/tex]
[tex]P(X=2)=P(LW)+P(TT)+P(WL) = 0.34[/tex]
[tex]P(X=3)=P(WT)+P(TW) = 0.14[/tex]
[tex]P(X=4)=P(WW)= 0.07[/tex]
3A wholesaler buys baseball gloves for $15 each. He then marks up the price to $20. By what percentage was the price of the baseball glove increased
Answer:
25%
Step-by-step explanation:
A bag contains 1 yellow, 2 blue, 4 green, and 3 red marbles. A marble is drawn and replaced. Then a
second marble is drawn.
Part A
What is P (blue, then blue)?
Part B
What is P (green, then red)?
Answer:
Step-by-step explanation:
total = 1 + 2 + 4 + 3 = 10
blue then blue = 2/10 * 2/10 = 1/5 * 1/5 = 1/25
green then red = 4/10 * 3/10 = 12/100 = 3/25
what is 7 divided by 1/3 in multiplication is it A.1/3 multiplied by 7 =k B. 1/3 multiplied by k=7 or C. 1/3=k multiplied by 7. Please Try to give the correct answer!
Answer:
B. 1/3 multiplied by k=7
Step-by-step explanation:
7 ÷ ⅓ = k
Multiply both sides by ⅓
7 ÷ ⅓ × ⅓ = k × ⅓
7 = k × ⅓
find four rational number between -1 and -1/2
Answer:
-3/4, -99/100, -7/8, -2/3
Step-by-step explanation:
rational numbers are numbers that can be made by dividing two integers
the numbers that are less than -1/2 and bigger than -1 are options, even -1 and -1/2
Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the approximate distances and angles, as shown. A triangle is labeled with Jo apostrophe s House, Boris apostrophe s House, and Carrie apostrophe s house on the points. The length from Jo to Boris is 0.5 miles, the length from Boris to Carrie is 0.4 miles, and the length from Carrie to Jo is 0.6 miles. The angle at Jo is 38 degrees. The angle at Boris is 88 degrees. The angle at Carrie is 54 degrees. Which step should they take next to find a meeting place that is the same distance from each person’s house?
Answer:
Draw perpendicular bisectors of two the sides
Step-by-step explanation:
The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.
The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.
Answer:
The answer is C
Step-by-step explanation:
EDGE2020
3.6 x 0.025 is my question to be answered
Answer:
0.09
because I multiplied...
Answer:
0.09
Step-by-step explanation:
36/ 10 x 25/ 1000 = 18/ 5 x 1/40 = 9/100 = 0.09
Choose the correct answer.
1. What is the value of the 5
in 5,307?
A5,000
B 500
C 50
D 5
please help !!!!!
Answer:
A. 5,000 is the value.
Step-by-step explanation:
The 5 is in the thousands place.
Answer:
A
Step-by-step explanation:
It is in the thousands place
Measuring Circles:Question 1
A bicycle wheel has a circumference of 66 inches. What is the
approximate radius of the wheel?
Round to the nearest hundredth, and use
7 ~ 3.14
Select one:
0
4.58 inches
0
10.51 inches
0
21.02 inches
O
103.62 inches
We have been given that a bicycle wheel has a circumference of 66 inches. We are asked to find the radius of the wheel.
We will use circumference of circle formula to solve our given problem.
[tex]\text{Circumference of circle}=2\pi r[/tex], where r represents radius if circle.
Upon substituting our given values, we will get:
[tex]66=2\cdot 3.14\cdot r[/tex]
[tex]66=6.28\cdot r[/tex]
[tex]6.28\cdot r=66[/tex]
[tex]\frac{6.28\cdot r}{6.28}=\frac{66}{6.28}[/tex]
[tex]r=10.509554[/tex]
Upon rounding to nearest hundredths, we will get:
[tex]r\approx 10.51[/tex]
Therefore, the radius of the wheel is approximately 10.51 inches.
An ostrich that is 108 inches tall is 20 inches taller than 4 times the height of a kiwi. What is the height of a kiwi in inches? Thank you.
Answer:
22 inches.Step-by-step explanation:
Turn it into an equation:
4x + 20 = 108
Eliminate 20 by subtracting both sides.
4x = 88
x = 22
Hope this helps.
