The margin of error for the population mean for the 90% confidence level is 1.10.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
It is given by the formula:
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]
As the mean is given to us is 71 beats and the standard deviation is 6 beats, therefore, the margin of error for 90% confidence level can be written as,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{6^{2}}{80}}\\\\\text{MOE}_{\gamma}=1.645 \times \sqrt{\dfrac{36}{80}}\\\\\text{MOE}_{\gamma}=1.1034\approx 1.10[/tex]
Hence, the margin of error for the population mean for the 90% confidence level is 1.10.
Learn more about the Margin of error:
https://brainly.com/question/13990500
Answer:
B on edge
Step-by-step explanation:
Soo, I need help with these 3 math problems. I don't have enough time to do them before I go to bed.
So these apple pies have a ratio of 15 apples to 3 pies. How many apples do you need for 12 pies?
Answer:
60
Step-by-step explanation:
since 15 apples makes 3 pies you divided 15 by 3 and get 5. 5 apples for one pie so that would be 5 x 12 = 60
Answer:
Since with 15 apples we are able to make 3 pies, this means that in each pie there are 5 apples (15apples divided by 3 pies = 5 apples.)
If there are 12 pies we simply have to multiply 12x5 which equals 60, this means that if we needed to make 12 pies we would need 60 apples.
15apples:3pies = 60apples:12pies
PLEASE HELP ASAP
I PUT A PHOTO
Answer:
7/8
Step-by-step explanation:
Solve for the value of x.
10x-5
8x+9
Answer:
[tex]\displaystyle 7 = x[/tex]
Step-by-step explanation:
These are alternate interiour angles, and the theorem states that they are congruent, so set both expressions equivalent to each other:
[tex]\displaystyle 10x - 5 = 8x + 9 \Rightarrow \frac{-14}{-2} = \frac{-2x}{-2} \\ \\ \boxed{7 = x}[/tex]
I am joyous to assist you at any time.
solve for x and y.
A.
B.
C.
D.
Step-by-step explanation:
the height from the 90° angle (which is y here) in a right-angled triangle is the square root of the Sergent lengths of the Hypotenuse.
y = sqrt(3×9) = 3×sqrt(3)
and x we get via Pythagoras :
x² = y² + 9² = 27 + 81 = 108
x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)
so, A is correct.
16 of 18
!!!
Write a numerical expression to represent the phrase "the sum of 25 and the cube of 9." Do not evaluate the expression.
st answer in the box
The girl’s hockey team won 6 games, lost 3 games, and tied 2 games. What fraction of games did they win?
Answer:
6/11 games
Step-by-step explanation:
Take the total number of wins, losses, and ties, and add them up to get the total number of games.
3+2+6=11
Then divide the wins by the number of games to get the fraction.
6/11
answer the top 3 please i don’t need the rest
Answer:
a) inscribed angle LNP
b) minor arc: LP
c) semicircle: LN
Find the value of X for the given parallelogram
Answer:
15[tex] \: [/tex]
Step-by-step explanation:
Parallelogram is a quadrilateral whose both pairs of opposite sides are parallel and equal and opposite angles are also equal.
[tex] \: [/tex]
So,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { \angle P = \angle R}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 = 2x + 50}}}} \: \: \\ \\[/tex]
Subtracting 2x from both sides we get :
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 6x - 10 - 2x = 2x + 50 - 2x}}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 = 50 }}}} \: \: \\ \\[/tex]
Adding 10 to both sides we get :
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { 4x - 10 + 10 = 50 + 10 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { 4x = 60 }}}} \: \: \\ \\[/tex]
Dividing 4 from both sides we get :
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { \frac{4x}{4} = \frac{60}{4} }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \frak { x = 15 }}}} \: \: \\ \\[/tex]
Therefore,
The value of x is 15Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are congruent.
Answer: ASA
Step-by-step explanation:
In addition to the given information, angle C is congruent to itself by the reflexive property, making ASA congruence.
Which situation has a sum of zero?
A. Borrowing $20 from my brother and paying him back $10.
B. Earning $5 for mowing the lawn and spending $5 on candy.
C. Earning $10 for mowing the lawn and spending $2 on candy.
D. Borrowing $10 from my mom and then another $5 from her the next day.
O B
O C
O A
O D
Answer:
The answer is B
Step-by-step explanation:
If you earn $5 when you mow the lawn, you now have $5 in your wallet. You then go and spend $5 on candy, which means you now have $0.
The circumference of a circle is 12.56 centimeters. What is the circle’s diameter?
Answer:
Step-by-step explanation:
Heather drove at a constant rate. She traveled 162162 miles in 33 hours. How far, in miles, did Heather travel in 11 hour?
Answer:
i think its 54054
Step-by-step explanation:
A high school is having a talent contest and will give different prizes for the best 5 acts in the show. First place wins the most money, and each place after that wins $50 less than the previous place. Part A Create a model that can be used to determine the total amount of prize money based on the value of the first place prize Enter your model in the box provided.
The model that can be used to determine the total amount of prize money based on the value of the first place prize is as follows;
Total amount of price money = 5x - 500
The prices are given to the best 5 acts. The first place wins the most money and each place after that wins $50 less than the previous place. The pattern follows a sequence.
What is a Sequence?Sequence is a list of things (usually numbers) that are in order. Therefore,
let
the first price = x
The common difference of the sequence would be - 50.
To create a model that can be used to determine the total amount of prize money based on the value of the first place prize can be done as follows;
x , x - 50, x - 100, x - 150, x - 200Therefore,
Total amount of price money = x + x - 50 + x - 100 + x - 150 + x - 200
Total amount of price money = 5x - 500
learn more on model here: https://brainly.com/question/2400667
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7
8
.
There are 56 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Step-by-step explanation:
Multiply 56 by 7/8 to determine the amount of red marbles.
*56 can be put over 1.
Multiply;
[tex] \frac{56}{1} \times \frac{7}{8} = \frac{392}{8} [/tex]
Simplify by dividing by 8;
[tex] \frac{392 \div 8}{8 \div 8} = \frac{49}{1} [/tex]
There are 49 red marbles.
What is the area of this triangle?
6 cm
11 cm
Answer: 33
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
Area of a triangle = [tex]\frac{bh}{2} \\[/tex] (base × height ÷ 2)
A = 6 · 11
2
A = 66
2
A = 33
If the nth term of a number sequence is 4n^2+ n find the first 3 terms and 10th term
Answer:
1st term = 7, 2nd term = 18, 3rd term = 39, 10th term = 403
Step-by-step explanation:
To find the 1st term substitute 1 for n in the equation:
4(1)² + 1 = (4 × 1) + 3 = 4 + 3 = 7
To find the 2nd term substitute 2 for n in the equation:
4(2)² + 3 = (4 × 4) + 3 = 16 + 3 = 18
To find the 3rd term substitute 3 for n in the equation:
4(3)² + 3 = (4 × 9) + 3 = 36 + 3 = 39
To find the 10th term substitute 10 for n in the equation:
4(10)² + 10 = (4 × 100) + 3 = 400 + 3 = 403
Hope this helps!
the set of integers is closed numbers the operation division
Answer:
The integers are closed under addition, multiplication and subtraction, but NOT under division
Step-by-step explanation:
9 ÷ 2 = 4½
Miguel spent $11 to buy 16 apples and oranges. How many of each type of fruit did he buy F apples cost $0. 75 and oranges cost $0. 65
Answer:
Step-by-step explanation:
x + y = 16
.75x + .65y = 11
75x + 65y = 1100
-75x - 75y = -1200
-10y = -100
y= 10 organes
x + 10 = 16
x = 6 apples
x= 6 apples
y = 10 oranges
Which operation should you perform first in the expression 7 × 2 by the power of 3
Answer:
If the 7 x 2 is in parenthesis then you would do the 7 x 2 first then do 14 by the power of 3. If there is no parenthesis and the power of 3 is hovering next to the 2 then you would do 2 to the power of 3 and then multiply that by 7.
Step-by-step explanation:
PEMDAS. Whatever is in parenthesis gets solved first, then exponents and so on and so forth.
Does anyone know this? Please help! ASAP!!!
Answer:
a=4
b=5
c=6
d=1
Step-by-step explanation:
4a=16
7+a+b=16
2b+c=16
a+b+c+d=16
Solve the inequality.
r+0.2<−0.7
Answer:
r<−0.9
Step-by-step explanation:
Let's solve your inequality step-by-step.
r+0.2<−0.7
Step 1: Subtract 0.2 from both sides.
r+0.2−0.2<−0.7−0.2
r<−0.9
Recognize functions from graphs
11
Does the graph represent a function?
Answer:
yes
Step-by-step
If an island's only residents are penguins and bears, and if there are 22 heads
and 52 feet on the island, how many penguins and how many bears are on the
island?
Answer:
27 penguins and 43 bears
i hope thats right lol
Step-by-step explanation:
Solve by completing the square.
w2 – 16w – 19 = 0
Answer:
Factoring w2-16w+19
The first term is, w2 its coefficient is 1 .
The middle term is, -16w its coefficient is -16 .
The last term, "the constant", is +19
Step-1 : Multiply the coefficient of the first term by the constant 1 • 19 = 19
Step-2 : Find two factors of 19 whose sum equals the coefficient of the middle term, which is -16 .
-19 + -1 = -20
-1 + -19 = -20
1 + 19 = 20
19 + 1 = 20
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
w2 - 16w + 19 = 0
hope it helps
Compare the following ratios: (Use >, < or = sign in the place holders)
8) 1:2 ___ 3:6
9) 3:5 ___ 2:4
10) 6:7 ___ 4:8
11) 5:1 ___ 7:9
12) 4:6 ___ 7:6
13) 1:8 ___ 4:11
14) 5:2 ___ 10:4
15) 4:3 ___ 2:4
16) 7:2 ___10:3
Answer:
Step-by-step explanation:
8) 1:2 _<__ 3:6
9) 3:5 _>__ 2:4
10) 6:7 _>__ 4:8
11) 5:1 _<__ 7:9
12) 4:6 _<__ 7:6
13) 1:8 __<_ 4:11
14) 5:2 __<_ 10:4
15) 4:3 _> 2:4
16) 7:2 _<__10:3
The point always points towards the smallest number.
An oil company fills 1 over 12 of a tank in 1 over 4 hour with gasoline. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?
1 over 4 ⋅ 1 over 12 hours
1 over 12 ⋅ 4 hours
1 over 4 ⋅ 12 hours
12 ⋅ 4 hours
I am in middle school, not high school.
Answer:
1
Step-by-step explanation:
1/4 × 12 hours, since 12 × 1/12 = 1
Hope it helps!!!!!!!Brainliest pls!!!!!!What is the radius of the circle x2+y2–81=0?
Find the solution of the system of equations. 3x-8y = 19
3x + 5y = -46
(-7,-5)
Step-by-step explanation:
3x-8y = 19
minus
3x + 5y = -46
0x - 13y = 65
- 13y = 65
÷-13
y = - 5
Substitute y = - 5 into one of the functions:
3x-8y = 19
-8 x - 5 = 40
3x + 40 =19
-40
3x. = - 21
÷3
x= - 7
Solution is (-7,-5)
Hope this helps!
Determine if the two triangles are necessarily congruent. If so, fill in a flowchart proof
to prove that they are.
L
The triangles
necessarily congruent.
Answer:
Step-by-step explanation:
What is the answer to 1/3 divided by 2 is in fractions
Answ1/6
Step-by-step explanation:
1/3 divided by 2
we can change the division sign into multiplication by flipping it and this will also inverse 2
so now we will have
1/3 x 1/2
=1/6