A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval?
It would increase by 8%.
It would decrease by 8%.
It would increase, but not necessarily by 8%.
It would decrease, but not necessarily by 8%.
Answer:
It would decrease, but not necessarily by 8%
If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.
Option D is the correct answer.
What is a confidence interval?A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.
It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.
We have,
The width of a confidence interval is determined by the level of confidence and the sample size.
A higher confidence level requires a wider interval, and a larger sample size typically results in a narrower interval.
Since the sample size is fixed in this case, changing the confidence level will result in a change in the width of the interval.
As the confidence level increases, the width of the interval also increases. This is because a higher confidence level requires a larger margin of error, which is added to the point estimate to create the interval.
Therefore,
If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.
Learn more about confidence intervals here:
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Help with question 4 please I’ll give brainlest
Answer: a
Step-by-step explanation: A plane is a 2d surface so if it ever intersects a 3d object the cross-section will be a 2d figure, in this case, a rectangle.
guys can you help me answer this?
Leah works at an appliance store. She recorded her recent sales. washing machines 3 dishwashers 1 ovens 6 clothes dryers 5 What is the experimental probability that the next appliance Leah sells will be an oven? Write your answer as a fraction or whole number. P(oven)=
Answer:
2/5
Step-by-step explanation:
Add up everything which would be 15, then put the number of ovens their was as the numerator. Then you'd have 6/15 so then just simplify!
Q9.
£4000 is invested at 2% compound interest.
(a) What is the value of the investment after 3 years?
Answer:
£4244.83
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r)^t. Here, P = £4000, r = 0.02 and t = 3 yrs
So: A = £4000(1 + 0.02)^3, which comes to:
A = £4000(1.061) = £4244.83
Tell whether the ordered pair is of liner equations (5,-6) 6x+3y=12 4x+y=14
Answer:
The ordered pair is one of the solution to the system of equations. See below.
Step-by-step explanation:
To tell if the ordered pair is the solution to the system of equations or not, we can do by substituting the ordered pair in both equations.
(x, y) = (5,-6)
Substitute x = 5 and y = -6 in both equations.
First Equation
6x+3y=12
6(5)+3(-6)=12
30-18=12
12=12
Second Equation
4x+y=14
4(5)-6=14
20-6=14
14=14
Because both equations have same sides which mean that both equations are true for (5,-6). Therefore (5,-6) is part of the equations.
For every six dollars that Jamal saves in his account, his brother saves eight dollars in his account.
If Jamal has $24.00 dollars in his account, how much money does his brother have in his account?
Answer:
jamel brother has 48.00 dollors
Step-by-step explanation:
Answer: He has 32$ 24 divided by 6 is 4 multiply 4 by 8 and you get 32
Thank you :)
The question is above!
;)
Answer:
umm 9/2
Step-by-step explanation:
I need help on this question I need the answer
Answer:
11
Step-by-step explanation:
Each side on the smaller quadrilateral is half the length of the larger one. So since the corresponding side is 22, then half of that is 11.
ta da!
hope this helped :)
please solve for x!!!
Answer:
x = 20
Step-by-step explanation:
The two angles are verticals angles and vertical angles are equal
7x -99 = 2x+1
Subtract 2x from each side
7x-99-2x =2x+1-2x
5x-99 =1
Add 99 to each side
5x-99+99 = 1+99
5x =100
Divide each side by 5
5x/5 =100/5
x = 20
Answer:
x=20
set them equal to eac hother
7x-99=2x+1
-2x+99-2x+99
---------------------
5x=100
---- ------
5 5
x=20
Beth filled 48 jars with paint. If each jar holds 1 pint of paint, how many gallons of paint did Beth use?
The gallons of paint that Beth used is 6 gallons.
How many gallons did Beth use?The first step is to convert pint to gallon:
1 pint = 0.125 gallon
The second step is to multiply 0.125 by 48 : 0.125 x 48 = 6 gallons
To learn how to convert units, please check: https://brainly.com/question/25993533
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Randomly select a painted rock from a bag containing 4 purple rocks, 3 green rocks, 3 orange rocks, and 2 blue rocks.
Answer:
i got a orange
Step-by-step explanation:
2
(
3
r
+
4
)
−
3
(
r
+
1
)
=
11
Hey there!
ASSUMING
2(3r + 4) - 3 (r + 1) = 11
IF SO
2(3r + 4) - 3 (r + 1) = 11
2(3r + 4) - 3 (1r + 1) = 11
DISTRIBUTE
2(3r) + 2(4) - 3(1r) - 1(1) = 11
6r + 8 - 3r - 1 = 11
COMBINE the LIKE TERMS
(6r - 3r) + (8 - 3) = 11
6r - 3r + 8 - 3 = 11
3r + 5 = 11
SUBTRACT 5 to BOTH SIDES
3r + 5 - 5 = 11 - 5
SIMPLIFY!
3r = 11 - 5
3r = 6
DIVIDE 3 to BOTH SIDES
3r/3 = 6/3
SIMPLIFY!
r = 6/3
r = 2
Therefore, the answer should be: r = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
24 + 8x + 10(2x)
Terms:
Constants:
Coefficients:
Diana looks up at an angle of 57 and sees a hot air balloon 150 meters away. To the nearest meter, what is the value of x,
the height of the hot air balloon above Diana's head? (Show work on paper)
Answer:
230.98 meters
Step-by-step explanation:
Answer:
126m
Step-by-step explanation:
Use sine because we want to find the opposite length but only know the hypotenuse.
Michelle ordered 200 T-shirts to sell at the school carnival. She paid $2.80 per shirt, plus 5% of the total
order for shipping. When she sells each T-shirt at the carnival, she adds a 150% markup to the total price
she paid for the shirt (including the cost of shipping).
For what price does she sell each T-shirt?
Answer:
$7.35
Step-by-step explanation:
We have 200 shirts
Cost $2.80 each
plus a 5% charge for shipping.
Selling price
150% markup
Recall when we use percentages, we need to express them as decimals.
Michelle's cost for each shirt was
2.80 (1.05) = 2.94
The markup is
2.94 (1.50) = 4.41
The markup is added to the cost to get the final selling price.
2.94 + 4.41 = $7.35
Michelle will sell each shirt for $7.35
Elena is graduating from high school. She will attend a private, 4-year university and study to become a Certified Public Accountant. The annual cost for her tuition, room and board, and books is $22,255. Elena's parents have a college fund with $ 54,000 to help with the costs. Elena received a scholarship for $500 per semester for four years .
Answer:
Reminder to eat drink and take care. :)
Step-by-step explanation:
Answer:
8,255 reminder to eat today
a) Rearrange the following formula to make x the subject.
Give your answer in its simplest form.
4(2x - 3y) = y + 5
+
Answer:
x = 13y + 0.625
Step-by-step explanation:
4(2x - 3y) = y + 5
8x - 12y = y + 5
8x = y + 5 + 12y
8x = 5 + 13y
8x ÷ 8 = 5 + 13y ÷ 8
x = 5 + 13y ÷ 8
x= 13y + 5 ÷8
x = 13y + 0.625
equivalent fractions for 2 4/5 and 2 2/3 plz help I will mark brainliest
Answer:
24/5: 48/10
22/3: 44/6
plz mark me as brainliest.
Math help me out this is tricky man hurry solve both
Answer:
1) a , b , c , e are ans....
2) a.F b.T c.F d.T
Find the sum of the measures of the exterior angles of a convex 65-gon
Answer: 360
Step-by-step explanation: Sum of exterior angles of any convex polygon is always 360, think about it.
I need the length of DB and Measure of angle C in degrees!!!!!
Answer:
DB = 10
m∡C = 106°
Step-by-step explanation:
DE = EB
20x - 8 = 16x + 12
4x = 20
x = 5
DB = 5 doubled, or 10
m∡A + m∡D = 180
3y + 7 + 2y + 8 = 180
5y + 15 = 180
5y = 165
y = 33
m∡A = m∡C
m∡A = 3(33)+7 = 106°
m∡C = 106° also
Two sides of a triangle measure 5
units and 3 units. The perimeter
of the triangle is 12 units. What is
the measure of the third side?
Answer:
4 units
Step-by-step explanation:
5+3=8
12-8=4
okay last one . help
Simplify
(2½)² x (0,5)²
Answer:
1.5625
Step-by-step explanation:
2½ = 5/2
(5/2)² = 25/4
25/4 = 6.25
0.5² = 0.25
6.25 x 0.25 = 1.5625
please help me ......
Answer:
no solution
Step-by-step explanation:
Let f (x) = x2 + 2x + 3 What is the average rate of change for the quadratic function from X = -2 to x= to x = 5?
Answer:
Answer: 5
Step-by-step explanation:
The average rate of change for the function f(x) from x=a to x=b is given by :-
The given function : (Its a quadratic function with degree 2.)
The average rate of change for the quadratic function from x=−2 to x = 5 will be :-
[Note (-)(-)=(+)]
Hence, the average rate of change for the quadratic function from x=−2 to x = 5 is 5 .
Step-by-step explanation:
6. The table shows the number of manatee deaths caused by watercraft in Florida each year
beginning in 1980. The years are coded that 1980 is 1, 1981 is 2, and so on. Use the table to
find the best model and the R2 value.
Year
1
2
3
4
5
6
7
8
9
10
Deaths
16
24
20
15
34
33
33
39
43
50
(1 point)
linear model, 0.845
exponential model, 0.779
power model, 0.682
quadratic model, 0.866
Answer: quadratic model, 0.866
Step-by-step explanation:
ok so Im getting banned and these cant go to waist so have fun :D
Answer:
Thx u
Step-by-step explanation:
that's not good oof
:3
:)
:0
:>
Solve for .
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
43 +4 < 92 +8
Answer:
[tex]x > -\frac{24}{19}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{3}x + 4 < \frac{9}{2}x + 8[/tex]
Required
Solve for x
Collect like terms
[tex]\frac{4}{3}x - \frac{9}{2}x < 8-4[/tex]
[tex]\frac{4}{3}x - \frac{9}{2}x < 4[/tex]
Take LCM
[tex]\frac{8x - 27x}{6} < 4[/tex]
[tex]\frac{-19x}{6} < 4[/tex]
Multiply by 6
[tex]6 * \frac{-19x}{6} < 4 * 6[/tex]
[tex]-19x < 24[/tex]
Divide by -19
[tex]x > -\frac{24}{19}[/tex]
