Answer:
a) The equation is:
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b) The 98% confidence interval = (5.62784, 6.37216)
Step-by-step explanation:
a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
Mean = 6 days
Standard deviation = 1.6 days
Number of samples = 100
Z score of 98% confidence interval = 2.326
Confidence interval = 6 ± 2.326 × 1.6/√100
= 6 ± 2.326 × 1.6/10
= 6 ± 0.37216
= 6 - 0.37216
= 5.62784
6 + 0.37216
= 6.37216
Therefore, the 98% confidence interval = (5.62784, 6.37216)
Five people bought tickets for the school play for a total of $65.75. If each ticket was the same price, how much was the cost of each ticket?
Answer:
13.15 is ur answer hope this helped!
each ticket costs $13.15
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples.Using the same fruit bowl, Carol wrote the ratio 5\11 .What could Carol's ratio represent?
Answer:
5 of the 11 fruit are oranges
Step-by-step explanation:
Answer:
I know who you are your doing a test
Step-by-step explanation:
The lines below are parallel. If the green line has a slope of 3, what is the
slope of the red line?
Enter your answer as an integer or a fraction in lowest terms.
Answer:
3
Step-by-step explanation:
Parallel lines have the same slope.
3,269-round to the Nearest hundred
I'm confused
What is the answer
Some of the other shades of paint are more yellow than others. Which mixture(s) are the most yellow? chiesta haces of this paint are more yellow Explain your reasoning.
9514 1404 393
Answer:
2, 5, 6
Step-by-step explanation:
If we number the mixes 1-6 from top to bottom, then the fraction of the total that is yellow is ...
1. 1/(3+1+2) = 1/6
2. 2/(5+2+3) = 2/10 = 1/5
3. 2/(6+2+4) = 2/12 = 1/6
4. 4/(12+4+8) = 4/24 = 1/6
5. 6/(15+6+9) = 6/30 = 1/5
6. 8/(20+8+12) = 8/40 = 1/5
Mixes 2, 5, and 6 are the most yellow. (1/5 > 1/6)
A 9 foot long section of Kryptonite weighs 1673 pounds. What is the weight of a 1 foot long section of a Kryptonite?
Which of the following exponential equations shows a reflection over the y-axis, a vertical
stretch by a factor of 2, and horizontal shift right 1.
a. y = -2(4)* – 1
b. y = -2(4):-1
c. y = 2(4)-x-1
d. y = 4(2)-x-1
Answer:
we are given
parent function as
(1)
vertical stretch of factor 2
so, we can multiply y-value by 2
then a shift right of 3 units
so, we can replace x as x-3
(2)
a shift left by 2 units
we can replace x as x+2
then a horizontal shrink factor of 1/2
so, we can multiply by 2 to x-value
then a shift down of 5 units
we can subtract y-value by 5
so, we get
(3)
a shift to the right 1 unit
we can replace x as x-1
stretched vertically by a factor of 1/2
we can multiply y-value by 1/2
then is shifted down 4 units
we can subtract y-value by 4
(4)
reflected across the x-axis
we can multiply y-value by -1
tretched vertically by a factor of 3
multiply y-value by 3
shifted left 7 units
we can replace x as x+7
Step-by-step explanation:
Solve and graph 8(p+3)>2(4p-1)
Use the law of detachment to determine what you can conclude from the given information if three points lie on the same line then they are collinear points A B and C lie on the line M
Answer: Points A,B, and C are collinear
Step-by-step explanation:
Olivia buys 4 masks that each cost the same amount
and a scarecrow, all for $176.75. If the scarecrow
costs $56.75, find out the cost of each mask cost.
80 points! Answer quick and ill give brainleist!
Answer:
im in 8th grade and can't do that math
Step-by-step explanation:
i dont understannnddd
b & d maybeeeeeee .
hope this helps
HELP!!!!! WILL MARK BRAINLIEST 10 POINTS
Kayla thinks that the slope of a vertical line is undefined, while Joshua
argues that the slope of a vertical line is zero. Who is correct?
a. Kayla b. Joshua
Answer:
Kayla
Step-by-step explanation:
Vertical lines are always undefined because if your answer has to be divided by zero, the answer is an undefined operation.
Horizontal lines always have the slope of zero!
The slope of a vertical line is undefined.
Kayal is correct.
The rate of change in the table is -6.
The slope of the graph is 3/2.
What is a slope?The slope of a is the change in the y coordinate with respect to the change in the x coordinate.
We have,
A vertical line means there is no change in the x-coordinate.
i.e slope = change in y-coordinates / change in x-coordinate
slope = change in y-coordinate / 0
slope = undefined
The slope of a vertical line is undefined.
Now,
From the given table we see that there is a change of 1 for the x-values and a change of -6 in the y-values so,
Rate of change in the table:
= change in y values/change in the x values
= -6 / 1
= -6
Now,
Take any two points on the graph such as:
(a, b) = (4, 6) and (c, d) = (-4, -6)
The slope of the graph:
= (d - b) / (c - a)
= -6 - 6 / -4 - 4
= -12 / -8
= 3 / 2
Thus,
The slope of a vertical line is undefined.
Kayal is correct.
The rate of change in the table is -6.
The slope of the graph is 3/2.
Learn more about slope here:
https://brainly.com/question/26650191
#SPJ5
Mrs. Smith rode the bus 720 miles in 3 days. On the first day, she traveled 3 times as far as she did on the second day. On the third day, she traveled 2 times as far as she did on the second day. How far did she travel each day?
The first day = 3x
The second day = x
The third day = 2x
720 = 3x + x + 2x
Combine like terms.
720 = 6x
Divide both sides by 6
120 = x
The first day = 3x = 3(120) = 360 miles
The second day = x = 120 miles
The third day = 2x = 2(120) = 240 miles
the cost of an afternoon movie ticket last year was $5.00. this year an afternoon movie ticket costs $6.00. what is the percent increase of the ticket from last year to this year ?
a. 10%
b. 20%
c. 25%
d. 40%
There are 11 frogs at the pond. There are 5 frogs in the water. The rest are in the mud. How many frogs are in the mud?
Answer:
This is easy math. 11-5=6. Six frogs are in the water.
Step-by-step explanation:
11 represents the whole of frogs, and 5 represents the frogs in the water.
What is the solution to this equation?
4x=32
O A. X9
O B. x = 28
O C. X = 128
O D. X= 8
Answer:
4x=32
or,x=32/4
therefore,x=8
Answer:
it is D because you would need to divide both numbers by 4 to get x by itself and 32 divided by 4 is 8 so X=8
Step-by-step explanation:
Hope this helps!!
A cylinder has a radius of 1 inch and height of 1 inch.
What is the approximate volume of the cylinder? Round to the nearest hundredth. Use 3.14 for π.
1.05 cubic inches
1.57 cubic inches
3.14 cubic inches
6.28 cubic inches
Answer:
3.14, confirmed on Edge
Step-by-step explanation:
Since this cylinder has a radius of 1 inch, its volume is equal to 3.14 cubic inches.
Given the following data:
Radius of cylinder = 1 inch.
Height of can = 1 inch.
[tex]\pi =3.14[/tex]How to calculate the volume.Mathematically, the volume of a cylinder is given by this formula:
[tex]V = \pi r^2h[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V = 3.14 \times 1^2 \times 1\\\\V=3.14 \times 1[/tex]
V = 3.14 cubic inches.
Read more on cylinder here: brainly.com/question/21367171
What is the slope of the line that contains these points?
(5,-3),(6,-1),(7,1),(8,3)
Answer:
2
Step-by-step explanation:
slope of line= [tex]\frac{y2-y1}{x2-x1}[/tex]
You can take any two points from the given points, put them in this formula and answer will be 2.
For example:
Lets take (7,1) and (8,3)
Slope= [tex]\frac{3-1}{8-7}[/tex]
=2/1=2
Hope it will help :)
Please help thank you very much!!
Answer:
umm...
D...765 4th over 5th
x^2-12x-6=-65 solve for x
Answer:
x
Step-by-step explanation:
x
Answer:
x = 6 + 4.796i and x = 6 - 4.796i
Step-by-step explanation:
For this problem, we will simply apply the quadratic formula to find the values of x. The quadratic formula is as follows:
x = [-b +/- sqrt(b^2 - 4ac)] / 2a
Using the formula let's find the values of x.
x^2 - 12x - 6 = -65
x^2 - 12x - 6 + 65 = -65 + 65
x^2 - 12x + 59 = 0
The coefficient of x^2 is a, the coefficient of x is b, and the constant 59 is c.
Hence, for our formula we have the following values:
a = 1
b = -12
c = 59
x = [-b +/- sqrt(b^2 - 4ac)] / 2a
x = [-(-12) +/- sqrt( (-12)^2 - 4(1)(59) ) ] / 2(1)
x = [ 12 +/- sqrt ( 144 - 236 ) ] / 2
x = [ 12 +/- sqrt ( -92 ) ] / 2
x = [ 12 +/- sqrt ( -4 * 23 ) ] / 2
x = [ 12 +/- 2i sqrt(23) ] / 2
x = 6 +/- i sqrt(23)
Hence from the formula, we have two possible values for x, both complex solutions. Note, i is an imaginary number.
x = 6 + i sqrt(23) and x = 6 - i sqrt(23)
x = 6 + 4.796i and x = 6 - 4.796i
Cheers.
help please this is timed
Answer:
i think (-3,3)
Step-by-step explanation:
plz make brainliest answer and follow and like
What is answer in this question.
Answer:
A line segment congruent to PQ
3. A local fast food restaurant takes in $9000 in a 4 hour period. Write a direct variation equation
for the relationship between income and number of hours. Estimate how many hours it would
take the restaurant to earn $20,250.
Assume that an investment of $9000 earns an APR of 6% compounded monthly for 18 months. How much money is in your account after 18 months?
A 10-foot ladder is placed 4 feet from the edge of a building. How far up the building does the ladder reach. Round your answer to the nearest tenth of a foot.
HELP ME, ILL GIVE YOU ALOT OF POINTS!! AND BRAINY AWARD!!
Answer:
a = 9.2
Step-by-step explanation:
a^2+4^2= 10^2
a^2 + 16 = 100
a^2 = 84
a = 9.2
Malik considers the enkargement of the trapezoid
25 cm
10 cm
18 cm
x cm
What is the correct cross product that he should use to solve for the missing dimension?
(10)(25) 186
(10)(18) - 250
(18)(25) - 10
(18)(20) 18
Answer:
it should be D thx
Step-by-step explanation:
Amy practice yoga 20 minutes each day before school and 30 minutes each day after school she is in school Monday through Friday how many minutes does Amy practice yoga in four weeks please show your work
Answer:
1000
Explanation:
The equation would be 5(20+30)*4=_____
First, we add 20 and 30 to get 50, now we multiply 5 by 50 to get 250, then multiply 250 by 4 to get 1000.
Can I also get a Brainliest?
Maria took a taxicab from her home to the theater
downtown. The taxicab company charges a flat fee of $5.00
plus $0.25 per mile. Which equation represents C, the total
cost of her ride, in terms of m, the length of the trip in
miles?
Answer:
The answer is the third option, C = 5 + 0.25m
Step-by-step explanation:
We already know that the official price for the taxi is 5 dollars, so we aren't multiplying that value by anything.
However, the text mentions that for each mile, Maria is taxed an extra .25 cents. Therefore, you have to add the base amount, 5, plus the 25cent with the m next to it to symbolize that however many miles she goes, the 25 cents will be multiplied by that value.
