Answer:
The 90% confidence interval = (83.9, 86.1)
Step-by-step explanation:
The formula for confidence interval =
Mean ± z × standard deviation/√n
From the question:
n = 38
Mean = 85 points
Standard deviation = 4 points
Z score for 90% confidence interval = 1.645
85 ± 1.645 × 4/√38
85 ± 1.067416951
Confidence Interval =
85 - 1.067416951
= 83.932583049
≈ 83.9
85 + 1.067416951
= 86.067416951
≈ 86.1
Therefore, the 90% confidence interval = (83.9, 86.1)
56 In a video game, acquiring a flag is worth 2 points and
acquiring a golden saber is worth 5 points. In a single
game, Jill acquires 5 flags and 7 golden sabers, while
Amy acquires 2 flags and 13 golden sabers. Which of the
following matrix products represents the number of points
earned by Jill and Amy?
Answer: Jill earned 45 points and Amy earned 69 points
Step-by-step explanation:
hope this helps
the estimated world population in 2011 was 7 x 10^9. Of the total population, 682 million of those people were left handed. Approximately what percentage of the world population is left handed according to the 2011 estimation
Answer:
9.74%Step-by-step explanation:
Total population
7 × 10^9Let handed population
682 000000Percentage of left handed population
100%×682000000 / (7×10^9) =6.82×10^10/ (7 × 10^9) % =68.2/7 % = 9.74%Answer:
9.7 %Step-by-step explanation:
estimated world population in 2011 = 7x10⁹
left handed = 682,000,000
find:
Approximately what percentage of the world population is left handed according to the 2011 estimation
percentage = left handed population
total population
= 682,000,000
7,000,000,000
= 0.682
7.0
= 9.7 %
Scientists sprayed a cold virus in the noses of 153 people. After five days, 135 people became infected with the cold virus. What percentage of the people became infected? Round to the nearest percent.
PLS I NEED HELP II WILL MARK BRAINLIST Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A48%
B92%
C88%
D73%
Answer:
88% of people were infected by the cold virus
Step-by-step explanation:
153/135 multiplied by 100 will give the answer to be 88.235%. round to nearest percent is 88%
A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. In another area, he used the entire
length of the same rope to lay out a second flower bed in the shape of a circle. (Drawings not to scale.)
Exhit
Perimeter 80 feet
Circumference - 80 feet
What is the area of the circle?
A 125.6 ft2
B. 2,041.8 ft2
c. 215.2 ft
D. 506.5 ft2
The area of the circle with a perimeter of 80 feet is 509.31 square feet.
The entire length of the rope = 80 feet
So, the perimeter of the flower bed = 80 feet
Since the flower bed is in a square shape
So, the perimeter of the square = The entire length of the rope
The perimeter of the square = 80 feet
Suppose the side of the square is a
So, 4a = 80
a =20
So, the area of the square = 20² = 400 square feet.
What is the area of a circle?The area of a circle with a radius r is πr².
Similarly, when the flower bed is in a circular shape
The perimeter of the circle = 80
Suppose the radius of the circle is r
So, [tex]2\pi r =80\\\\[/tex]
[tex]r= 12.73 feet[/tex]
Area of circle = [tex]\pi r^{2}[/tex]
Area of circle = 509.31 square feet.
Therefore, the area of the circle with a perimeter of 80 feet is 509.31 square feet.
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at school 2 out of every 5 student in the 6th grade are members of the band. What will be the ratio of the number of 6th graders that are not members of the band
Answer:
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
The sum of a number and 3 is 8
Answer:
5
Step-by-step explanation:
Parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1) determine the measure of angle k
Answer:
Step-by-step explanation:
The sum of opposite angle and sides of a parallelogram is 180 . If a parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1), then <J + < M = 180
Substitute:
2 x +9+6x-1 = 180
collect like terms;
2x+6x+9-1 = 180
8x+8 = 180
8x = 180-8
8x = 172
x = 172/8
x = 21.8°
For the shape to be a quadrilateral, then the measure of angle k must 128 degrees
For quadrilateral PQRS to be an actual quadrilateral, then:
[tex]K = M[/tex] --- opposite angles of quadrilateral[tex]J + M= 180[/tex] --- adjacent angles of quadrilateral[tex]J + M = 180[/tex] implies that:
[tex]2x + 9 + 6x -1 = 180[/tex]
Collect like terms
[tex]2x + 6x = 180 -9 +1[/tex]
[tex]8x = 172[/tex]
Divide both sides by 8
[tex]x = 21.5[/tex]
We have:
[tex]K = M[/tex]
This becomes
[tex]K = 6x -1[/tex]
Substitute 21.5 for x
[tex]K = 6\times 21.5 -1[/tex]
[tex]K = 129 -1[/tex]
Subtract 1 from 129
[tex]K = 128[/tex]
Hence, the measure of angle K must be 128 degrees
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I need help .. ASAP .
Answer:
x = 12 degrees
Step-by-step explanation:
(9x-4)+(6x+4)=180 Linear Pair Theorem
15x=180 Simplified
180/15 = x Division Property of Equality
x = 12 degrees Simplified
Hope this helped! ;)
A small pumpkin weighs 5 1 5pounds. What does 3 5of it weigh?
Answer:
3.12 pounds
Step-by-step explanation:
I don’t understand this .
Answer:
C
Step-by-step explanation:
X + 7y = 49
Enter your answer a
Enter your answer as a order pair
Answer:
x-intercept(s): ( 49 , 0 )
y-intercept(s): ( 0 , 7 )
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
A recycling center was offering cash for different types of recyclables. For each pound of copper they paid $1.48, for each pound of aluminum they paid $1.55, and for each pound of plastic they paid $0.30. Jesse took in 50 pounds of copper, 15 pounds of aluminum and 10 pounds of plastic. How much money was he paid for his recyclables?
Answer:
100.25
Step-by-step explanation:
You multiply the amount the copper cost by however many pounds of it he brought in you do this to the others as well but of course theres different numbers for example it would be like this.
Copper=1.48x50=$74.00
Aluminum=1.55x15=$23.25
Plastic=0.30x10=$3.00
Then add those numbers together to get the amount of money he made off of his recyclables. Which the number you would get is 100.25 Hope this helps!!
Answer:
100.25
Step-by-step explanation:
You multiply the amount the copper cost by however many pounds of it he brought in you do this to the others as well but of course theres different numbers for example it would be like this.
Copper=1.48x50=$74.00
Aluminum=1.55x15=$23.25
Plastic=0.30x10=$3.00
Then add those numbers together to get the amount of money he made off of his recyclables. Which the number you would get is 100.25 Hope this helps!!
Select the correct answer. What is the product of and ? A. 9/5 B. 2 C.175/30 D/29
Step-by-step explanation:
the answer is c i took the test btw
What is the product of -3 1/3 and -8 7/10
C.175/30
If a quadratic function has the rule
f(x) = (x – h)? + k,
what will cause a horizontal translation?
A, changing the value of h
B, changing the value of k
A. Changing the value of h will cause horizontal translation.
What is transformation ?Transformations are of many types like translation, rotation, reflection and dilation.These transformations are of two types rigid transformation where the shape and size of image and pre image remains same and another one is non-rigid transformation in which size changes but shape of doesn't change.
We know that a quadratic function can be represented by a 2D co ordinate which has x axis and y axis.
Given a function f(X) = ( x - h) + k will cause horizontal transformation of h units to the left.
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In an hour, the pastry-cook made of one order.
How many orders does he make in 3 hours?
Answer:
3?
Step-by-step explanation:
It would be 3 since he took 1 hour in one order it would take another 3 hours to complete 3 other orders. Sorry if I'm wrong. :)
solve for x 5x-4_>12 and 12x+5<_-4
Answer:fgh
Step-by-step explanation:
a radio station sells buttons and bumpers stickers at a local fair the buttons each cost $2.95 and the bumpers cost $3.50.the radio station sells at most $162.00 worth of buttons and bumpers.If x represents the number of buttons and y represent the number of bumper stickers,which inequality represents the scenario?
Answer:
162 <= 2.95x + 3.50y
Step-by-step explanation:
8x^2 - 48x = -104. Write the equation so that a = 1: x^2 + _____ x = _____
Answer:
4 x = 6
Step-by-step explanation:
4x = - 6
10 POINTS
Find the area of each circle. Round to the nearest tenth.
Answer:
were ate circles I'm suppose to use
Step-by-step explanation:
where is the circles
Which of the following equations is true? 42=14−2 42=−4−2 42−4−2= −1 42+4−2= 0
Answer:
b. your welcome
What is answer to 3 divided by eleven twelveths
Answer:
Step-by-step explanation:
The answer is 3.27
what is 8.341 x 10 to the 5th power
Answer:
834100
Step-by-step explanation:
1. Move the decimal FIVE times to the right
8.341 ----> 834100.
2. Solution
834100
1. When solving the equation: 8n -2 = 1 +n + 5 + 6, Response area could NOT be the first step that would yield a solution
Answer:
n = 2
Step-by-step explanation:
Determine the length of x and y. Round your answer to the nearest tenth, if necessary.
X =
Y =
Solve for y
5/8y = -1
Answer:
y = -8/5
Step-by-step explanation:
Step 1: Write equation
5/8y = -1
Step 2: Solve for y
Divide both sides by 5/8: y = -8/5Step 3: Check
Plug in y to verify it's a solution.
Substitute: 5/8(-8/5) = -1Multiply: -40/40 = -1Divide: -1 = -1HELPPPPPPPPPPP PLEASEEEE.!!!!!!
Answer:
it is the one with the open circle going to the left
Step-by-step explanation:
The art club had an election to select a president. 80 out of the 100 members of the art club voted in the election. What percentage of the members voted?
59% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answer:5
Step-by-step explanation:
I would say 5 because it’s a 50/50% chance that you’d get it right so I’d go with 5.
Solve proportion, if necessary round to nearest hundredth.
Answer:
B=-3
Step-by-step explanation:
Multiply diagonally then simplify
8x + 4y= 12
2x+ y= 3