Using the z-distribution, as we are working with a proportion, it is found that the buyers need a sample of 1505.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is z = 2.327.
There is no estimate of the percentage, hence [tex]\pi = 0.5[/tex], and the margin of error is of M = 0.03, hence we solve for n to find the desired sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 2.327\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 2.327(0.5)[/tex]
[tex]\sqrt{n} = \frac{2.327(0.5)}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.327(0.5)}{0.03}\right)^2[/tex]
[tex]n = 1504.2[/tex]
Rounding up, the buyers need a sample of 1505.
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25 pts
A rectangular storage box is 12 in.
wide, 15 in. long, and 9 in. high. How
many square inches of colored paper
are needed to cover the surface of
the box?
Answer:
1,620
Step-by-step explanation:
L x W x H
L = 15
W = 12
H = 9
15 x 12 = 180
180 x 9 = 1620
a company’s profit of 18000 is shared by 2 directors and 24 employees 1-3 of the profit is shared equally by 2 directors of the company
Using proportions, it is found that:
Each director gets 6000.Each employee gets 500.What is a proportion?A proportion is a fraction of a total amount.
In this problem, the directors share one-third of the profit, hence:
18000/3 = 6000
6000/2 = 3000.
That is, each director gets 6000.
The remaining 18000 - 6000 = 12000 will be shared equally by the 24 employees, hence:
12000/24 = 500
Each employee gets 500.
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A tonne (1000 kg) of soil is to be equally divided
between 7 garden beds. How much soil is placed
in each garden bed? Write your answer in tonnes
rounded to the nearest kilogram.
Answer:
0.143 tonnes
Step-by-step explanation:
1000 / 7 = 142.857143
= 143 kg
= 0.143t
A field is shaped like the diagram below.
It is a rectangle with semicircles at two ends. There is a running track around the perimeter of the field.
(a)
100 m
64 m
What is the circumference of the track?
Step-by-step explanation:
must be at least 100m, and the rectangle width, also known as twice the circle radius, must be less than or equal to 60m. That would make for a relatively normal-shaped track
The perimeter of the track is 464 m
What is a perimeter?The length around an object is called its perimeter.
Given that, a rectangle with semicircles at two ends. there is a running track around the perimeter of the field.
The dimension of the rectangle are 100 m and 64 m
The distance between the outer an dthe inner track is 10 m,
The diameter of the outer semicircles is 64+10+10 = 84 m
Therefore, is radius = 42 m
The perimeter of the outer semicircle = 2×π×radius
= 2×3.14×42
= 264 m
The length of the two straight lines = 100 + 100 = 200 m
Therefore, total perimeter of the whole track = 200+264 =464 m
Hence, the perimeter of the track is 464 m
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The figure for this question is:
Which of the following could be given lengths of sides of a triangle? Check all that apply.
When given three side lengths:
--> the three sides lengths that can form a triangle are the ones where
the sum of two side lengths of a triangle is always greater than the
third side
Thus the choice that fits the requirement is choice (C).
Hope that helps!
hat is the value of x in the equation −x = 3 − 4x + 15? −18 −6 6 18
I believe that x is equal to 6. x=6
what did I get wrong I got 6/8 please help
Answer:
Well I got your 1 mistake.
3 + 3 + 3 + 3 = 12 should be of diagram B not A.
hope it helps.......
Answer:
3/4
Step-by-step explanation:
You didn't simplify it it can go down to 3/4
Lily has a mask collection. She keeps some in a display case and the rest on the wall. 365 of her masks are on the wall, and 27% of her masks are in the display case. What is the total number of masks in Lily's collection?
Step-by-step explanation:
this answer is that correct
brain lest
If 365 of her masks are on the wall, and 27% of her masks are in the display case. Then 467 marks are the total number of masks in Lily's collection
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Lily keeps masks in a display case and the rest on the wall.
365 of her masks are on the wall.
27% of her masks are in the display case
We need to find what is 27% of 365 to solve this problem
27/100×365=0.27×365
=98.55
Now we need to find the total number of masks in Lily's collection
365+98.55
463.55
467
Hence, 467 are total number of masks in Lily's collection.
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-12 = -3y
How to Solve?
Answer:
y = 4
Step-by-step explanation:
Given:
[tex]-12=-3y[/tex]
Solve:
[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]
[tex]\frac{-3y}{-3}=\frac{-12}{-3}[/tex]
[tex]\mathrm{Simplify}[/tex]
Note: Negative + Negative = positive
y = 4
~lenvy~
3 Jade buys a blouse and a skirt for of their original price. She pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answer:
$13.50
Step-by-step explanation:
if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt
Quadrilateral abcd has vertices at a(0, 6), b(4, -1), c(-4, 0) and d(-8, 7). prove that:
(a) abcd is a rhombus using the distance formula
b) the diagonals of abcd are perpendicular
Answer:
Step-by-step explanation:
help ! 50 points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume
Select all that apply.
Green pencils are priced at $1.28 for 4. Blue pencils are priced at $5.52 for 24. Which of the following statements are true?
The unit rate for blue pencils is $0.28
The unit rate for green pencils is $0.32
The green pencils are priced less per pencil
The blue pencils are priced less per pencil.
Correct Statements:
1) The unit rate for green pencils is $0.32
2) The blue pencils are priced less per pencil.
Step-by-step explanation:
UNIT RATE:Green pencils:
Given that,
4 green pencils = $1.28
Divide 4 to both sides
1 green pencil = $1.28 / 4
1 green pencil = $0.32
Blue pencils:
Given that,
24 blue pencils = $5.52
Divide 24 to both sides
1 blue pencil = $5.52 / 24
1 blue pencil = $0.23
Blue pencil is priced less per pencil when compared to green pencil.
[tex]\rule[225]{225}{2}[/tex]
The value of a new truck decreases exponentially at a rate of 4.8% per year. If the purchase price of the new cars $42,000, how much is the car work by the time it is paid off by the time it is paid off 5 years later?
The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.
What is the worth of the car?When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:
FV = P (1 - r)^n
FV = Future value P = Present value R = rate of decline N = number of years$42,000 x (1 - 0.048)^5 = $32,842.34
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Omg please help! NO LINKS NO FILES PLEASE!
Answer: Square is a 17*17. Ok so its 121-25=96
Step-by-step explanation:
96
Find the common factor of all the terms of the polynomial 16x2 - 14x. O A. 2x² O B. 44² O c. 2x O D. 4x
Answer:
c. 2x.
Step-by-step explanation:
16x2 - 14x
Common factor of 16 and 14 = 2'
for x2 and x it is x,
Answer: 2x.
Leslie has a watering can that holds 3 liters of water. She uses 250 milliliters of water on each of her plants.
How many plants can she water? Enter your answer in the box
Answer:
12
Step-by-step explanation:
Convert the 3 liters into milliliters and then divide it normally or in the fraction way
Wendell wants to make a wooden lid for a decorative box. The lid needs to be 612inches wide and 812inches long with sides 2 inches deep. Part A Part B Wendell has a square piece of wood that has a side length of 12 inches. Based on your answer to Part A, does Wendell have enough wood to make the lid? Explain. Wendell has enough wood to make the lid because the surface area of his piece of wood is larger than the surface area of the wood needed. Wendell does not have enough wood to make the lid because the longest piece needed for the lid is longer than the side of his piece of wood. Wendell has enough wood to make the lid because each dimension of the box is less than the side length of his piece of wood. Wendell does not have enough wood to make the lid because the surface area of his piece of wood is smaller than the surface area of the wood needed
Answer:
Step-by-step explanation:
A
i need help on this and a few more i have been busy lately
Answer:
ok so we have to make it so we can get rid of one of the varibles by adding or subtracting
so lets multiply the first one by 4
120x+16y=4160
minus the second one so
108x=2160
divide by 108
x=20
then we just plug in
12(20)+16y=2000
240+16y=2000
-240
16y=1760
divide by 16
y=110
(20,110)
Hope This Helps!!!
The volume of Mikes rectangular lunch box is 240 cubic inches. The lunchbox is 3 inches deep and its length is 2 inches more then its width. What is the width of Mike's lunchbox
Answer:
8 inches
Step-by-step explanation:
You first divide 240 by 3 which is 80
Then you find what number is 2 less than the other number that is you multiplied together you get 80
And we know that 8 × 10 = 80
There for the :-
Width is 8 in
Length is 10 in
Hight is 3 in
The proof is if you multiply all of them you have to get 240
And if you multiply 8, 10, and 3 you get 240
12, 17, 22, ...
Find the 36th term.
Answer:
187
Step-by-step explanation:
a=12,d=17-12=5
nth term =a+(n-1)d
36th term=12+(36-1)5
=12+(35×5)
12+175
36th term=187
The value of 36th term is 187.
What is arithmetic progression?An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.
abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.
Given series
12, 17, 22,.....
since the series is in AP because the difference between any two consecutive numbers is equal,
17 - 12 = 5 and 22 - 17 = 5
for nth term of AP
aₙ = a₁ + (n - 1)d
where a₁ = 12, n = 36, d =5
a₃₆ = 12 + (36 - 1)5
a₃₆ = 12 + 35 × 5
a₃₆ = 12 + 175
a₃₆ = 187
Hence 187 is the 36th term.
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Brainliest if correct
Answer:
[tex]\frac{1}{2}-\frac{1}{6}=\frac{3}{6}-\frac{1}{6 }=\frac{2}{6} =\frac{1}{3}[/tex]
Step-by-step explanation:
To complete the steps:
[tex]\frac{1}{2}-\frac{1}{6}=\frac{3}{6}-\frac{1}{6 }=\frac{2}{6} =\frac{1}{3}[/tex]
I think the question you are answering a question that does not require simplification so ignore the last bit (= 1/3)
Which property can be used to solve the equation?
5 d = 75
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
Answer: Division of Equality
Step-by-step explanation: In this equation, using division, we can find what y is by dividing 5 on both sides. Y equals to 15.
what is Seven less than a number is the same as 2 more than twice the number as a equation?
Mrs.smith has 5 times many markers as colored pencils. The total number of markers and colored pencils is 54. How many markers does Mrs.smith have
Answer:
270 Markers
Step-by-step explanation:
5 x 54 = 270
(sorry if I'm wrong)
What is the area of this quadrilateral
Answer:
C
Step-by-step explanation:
First, let's work out the two triangles:
Area of triangle: bxh/2
2 x 8/2 = 8
Because there is two triangles multiply 8 by 2 = 16
To work out the area of the central rectangle:
Area of rectangle: l x w
3 x 8 = 24
Add 16+24 = 40 square feet
Kurt drove to his college after summer break
The graph shows the distance he traveled during his drive,
Distance Kurt
Traveled
100
y
(1.5,75)
75+
Use the drop-down menus to complete the statements based on the graph.
Distance (miles)
50+
25+
0
Time (hours)
CLEAR
The labeled point means in
hours, Kurt traveled
miles.
In 1 hour, Kurt traveled
miles.
His distance changed at a unit rate of
miles per hour, so Kurt's speed was
miles per hour.
If Kurt had driven more slowly, the slope of the graph would be
Answer:
1.5 hours; 75 miles50 miles50 miles per hour; 50 miles per hourless/decreased/reduced/smallerStep-by-step explanation:
The labels on the axes of the graph tell you the meaning of the coordinates of a point on the graph. The ordered pair lists the horizontal coordinate first. The horizontal axis is labeled hours, and the vertical axis is labeled miles.
The point (hours, miles) = (1.5, 75) means Kurt drove 75 miles in 1.5 hours.
__
You can find the miles driven in 1 hour by reading the graph at the horizontal coordinate 1 hour. You find that is 50 miles. The 1 represents 1 unit, so the "unit rate" is 50 miles in 1 hour. Such a rate is also called a "speed" of 50 miles per hour.
If Kurt had driven fewer miles in an hour, the points on the graph would all have smaller vertical coordinates. The unit rate (slope) would be less than 50 miles per hour.
i need help with this 3n-4=17 show work
Answer:
The value of n = 7
Step-by-step explanation:
=> 3n-4=17
=> 3n = 17+4
=> 3n = 21
=> n = 21/3
=> n = 7
Answer:
n=7
Step-by-step explanation:
1. Solve
3n-4=17
3n-4+4=17+4
3n=21
3n/3=21/3
n=7
2. Check
3x7-4=17
21-4=17
17=17
Correct!
3. Answer
n=7
Angle θ forms a reference angle that is below the positive -axis (in quadrant IV). What will be the signs on the sine and cosine of angle θ?
Answer: sin is negative, cos is positive
Step-by-step explanation:
Answer:
Step-by-step explanation:
sin0= 0.8
What is the scale factor from square ABC to square DEF
Answer:
the scale factor is 6
scale factor:
length of image ÷ length of original
Here:
24 ÷ 4 = 624 ÷ 4 = 612 ÷ 2 = 6