The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
What is the margin of error?The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}[/tex]
[tex]\text{MOE}[/tex] = margin of error
[tex]\gamma[/tex] = confidence level
[tex]z_{\gamma}[/tex] = quantile
σ = standard deviation
n = sample size
As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.
We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,
[tex]\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742[/tex]
Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.
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6. Izabella and
Lani go to breakfast
and spend $34, plus
they give a 20%
tip. How much do
they pay total ?
Please help me, because I am struggling on this picture.
Answer:
see attached
Step-by-step explanation:
Each grid is divided into units by the dark vertical lines, and into fractions of the last unit by the lighter vertical lines. The left-side figure, for example, shows 3 units, the last of which is divided into fourths (1/4s).
The lighter horizontal lines divide the vertical space into fractions. The left side figure has horizontal lines dividing the vertical space into tenths (1/10s).
Overall, each grid represents multiplication of a mixed number by a fraction.
__
The left-side figure has coloring horizontally covering two full units and 3/4 of the last unit. The coloring vertically occupies 3 of the 10 spaces, Overall, the figure represents multiplication of 2 3/4 by 3/10. That matches the solution required for the question about July rainfall (bottom word problem).
__
The top right figure has coloring horizontally that covers two full units and 2/3 of the last unit. The coloring vertically occupies 2 of the 3 spaces. Overall, the figure represents multiplication of 2 2/3 by 2/3. That matches the solution required for the question about mat area (top word problem).
__
The bottom right figure has coloring horizontally that covers three full units and 1/5 of the last unit. The coloring vertically occupies 1 of the 4 spaces. Overall, the figure represents multiplication of 3 1/5 by 1/4. That matches the solution required for the question about the weight of carrots (middle word problem).
_____
Additional comment
Perhaps the confusing part is that the answer to the question, as represented by the shaded area, is not easy to determine from the figure.
The left-side figure, for example, has a blue shaded area that totals 6/10, and an orange shaded area that totals 9/40. The answer to the question posed is then 6/10 +9/40. The diagram offers no help in figuring the value of that sum, hence the answer to the question.
write equation from slope and 1 point. i need help on both questions please.
Answer:
10.) y = [tex]\frac{-1}{4}[/tex]x + [tex]\frac{17}{4}[/tex] 11.) y = 3x + 7
Step-by-step explanation:
10.) when given, slope, and a point you can use the equation y=mx+b to solve for "b" as your unknown. so, you substitute everything that you do know y = 4. x = 1. m = -1/4.
y=mx+b becomes 4 = [tex]\frac{-1}{4}[/tex](1) + b
4 = -1/4 +b
add the 1/4th to both sides to isolate b.
you end up with an answer of, 4[tex]\frac{1}{4}[/tex] which equals [tex]\frac{17}{4}[/tex]
so you end up with b = [tex]\frac{17}{4}[/tex]
-------------------------------------------------------------------------------
11.) Do the same thing with the other problem.
you know m = 3. x = -1 and y = -4
substitute what you know now.
y = mx+b becomes -4 = 3(-1) + b
add -3 to both sides to isolate b
then you end up with an answer of
b = 7
Trains Two trains, Train A and Train B, weigh a total of 281 tons. Train A is heavier than Train B. The difference of their weights is 113 tons. What is the weight of each train? Train A weighs tons.
Answer:
A = 197 tons
B = 84 tons
Step-by-step explanation:
Given Equations: A + B = 281 A - B = 113
A = 113 + B
113 + B + B = 281
2B = 281 - 113
2B = 168
B = 84
A = 113 + 84
A = 197
Which point is a solution to the inequality y > − 5 x + 3 ?
What is the square root of 100.
Answer:
10 is the answer
Step-by-step explanation:
thank me layer
Answer:
10
Step-by-step explanation:
The square root is the opposite of squared. 10²=10x10=100. There is no method of squarooting something. The only method would be calculator or memorizing perfect squares.
Please answer this (and explain if you can) it will be really helpful!!
Dilate the triangle ABC by the given scale factor (3), with the origin as the center of dilation.
Answer: A'(3,0), B'(3,6), C'(9, 3)
Step-by-step explanation:
PLS HELP IM GIVING U POINTS
Answer:
80/7, of 11 3/7
Step-by-step explanation:
make 4 into a fraction, 4/1, then make 2 6/7 into an improper fraction, 20/7. For fraction multiplication, multiply the numerators and then multiply the denominators. after doing that you will get 80/7 which in 11 3/7
Out of a sample of 1,450 people, 1,000 said they prefer to drive themselves to work rather than carpool. Construct a 95% confidence interval for the population mean of people who would rather drive themselves than carpool.
CI = (65.84%, 72.09%)
CI = (66.58%, 71.35%)
CI = (65.27%, 72. 13%)
CI = (66.97%, 70.96%)
The required confidence interval for the population mean is; B: CI = (66.58%, 71.35%)
What is the Confidence Interval?We are given;
Sample size; n = 1450
Sample number; x = 1000
Thus,sample proportion is;
p^ = x/n = 1000/1450
p^ = 0.69
We are not given the population proportion but we will assume; p = 0.5
Formula for confidence interval is;
CI = p^ ± z√(p(1 - p)/n)
Where z for CL of 95% is; z = 1.96
Thus;
CI = 0.69 ± 1.96√(0.5(1 - 0.5)/1450)
CI = 0.69 ± 0.026
CI = (66.58%, 71.35%)
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Please, please please please help me
Answer:
Triangle C
Triangle D
Triangle B
Triangle A
Answer:
its B hope that helps have a great day
The perimeter of square is 20 in. What is the Area Draw the square
Answer:
Step-by-step explanation:
Well I can't really draw the square, but.
If the the squares perimeter is 20, and all sides on a square are the same, and there are 4 sides.
Do 20/4 which = 5 inches.
Then area is length x width,
So 5x5 which equals 25 inches.
Question 2 (2 points) B Triangle ABC has angle measures as shown below. Using the information in the diagram, find the value of x. Be sure to write your answer down on a piece of paper - you will need it for Question 4. In your answer, give the value of x and explain how you calculated it. 3(x + 2) 35° 52 А B
Answer:
bilmiyom ne olduğunu Türkçe anlat
Answer:
x = 29
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
3(x + 2) + 52 + 35 = 180 , that is
3(x + 2) + 87 = 180 ( subtract 87 from both sides )
3(x + 2) = 93 ( divide both sides by 3 )
x + 2 = 31 ( subtract 2 from both sides )
x = 29
The figure below is made of 1-inch cubes. Three rows of nine cubes have been removed from the top of a prism.
What is the volume of the figure above?
A.
99 in3
B.
90 in3
C.
108 in3
D.
81 in3
if you answer this I will give you 100pts and brainlylist
Answer:
Its 81 in3
Step-by-step explanation:
(i took the test)
Help me I needs the helps
Answer:
467.4 units^2
Step-by-step explanation:
See attached image.
The dimensions of this screen are 8 inches by 15 inches. What is the screen size? Round your answers to the nearest whole number. Remember, the screen size is the same as the hypotenuse of the triangle whose legs are the width and height of the screen
Answer:17
Step-by-step explanation:
I just did it and got it write 15/8=17
Answer:
B
Step-by-step explanation:
A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m months and develops the equation mc010-1. Jpg to model the situation. Most recently, the scientist counted 138 plants. Assuming there are no limiting factors to the growth of the plants, about how many months have passed since the plants were first introduced? 6. 1 6. 6 7. 2 23. 1.
With no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
A type of plant is introduced into an ecosystem and quickly begins to take over.
A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,
[tex]p(m)=19.3(1089)^m[/tex]
Most recently, the scientist counted 138 plants.
[tex]138=19.3(1089)^m\\(1089)^m=7.15[/tex]
Taking log both sides of the equation,
[tex]\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1[/tex]
Thus, with no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.
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Answer:
With no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.
Step-by-step explanation:
help..564 patrons can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in the library?
Answer:
3,384
Step-by-step explanation:
So this is a classic multiplication problem. If each patron has 6 books, and there's 564 patrons, you multiply:
564 x 6 = 3,384
hope this helps:D
Hello, anybody out there can help me with this please
Answer:
6/7
Step-by-step explanation:
We want the numerical ratio
green apple trees 18
------------------------------ = -------- which reduces to 6/7 (answer)
red apple trees 21
only the evaluate question. please answer quickly
Answer:
2m²-6m
Step-by-step explanation:
First simplify the numerator.
Then cancel the common factor of m+3 and use distributive property.
Multiply m by m and lastly multiply -3 by 2.
Which expression represents the surface are of the prism?
4
8
7
Answer:
C
Step-by-step explanation:
One side;
7 x 8 = 56, the side parallel to it is also 56 as well, so 56(2).
Second(bottom) side;
8 x 4 = 32, the side parallel to it(the side above) is also 32 as well, so 32(2).
Third(front) side;
4 x 7 = 28, the side parallel to it(backside) is also 28 as well, so 28(2).
You add all those products to get the surface area:
56(2) + 32(2) + 28(2)
What is the standard equation of a circle with center (0, 2) that
passes through (5,-2)?
Answer:
x² + (y - 2)² = 41
Step-by-step explanation:
the equation of a circle in standard form is
(x - h )² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
The distance from the centre to a point on the circle is the radius r
calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (5, - 2 )
r = [tex]\sqrt{(5-0)^2+(-2-2)^2}[/tex]
= [tex]\sqrt{5^2+(-4)^2}[/tex]
= [tex]\sqrt{25+16}[/tex]
= [tex]\sqrt{41}[/tex] , then r² = ([tex]\sqrt{41}[/tex] )² = 41
then
(x - 0)² + (y - 2)² = 41 , that is
x² + (y - 2)² = 41 ← equation of circle
by what percent will a fraction increase if its numorator is increased by 60% and ist denominator decreased by 20%
Answer:
100%
Step-by-step explanation:
Assume the fraction is X/Y.
Increase the numerator by 60%: 1.6X
Decrease the denominator by 20%: 0.8Y
New value: 1.6X/0.8Y
That is equal to 2(X/Y)
The fraction increases by 100% [X/Y to s(X/Y)]
What is the value of c
7x-2=5x+14
X=?
(step by step needed)
Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 5x from both sides.
[tex]7x-2-5x=5x+14-5x[/tex] [tex]2x-2=14[/tex]Step 2: Add 2 to both sides.
[tex]2x-2+2=14+2[/tex] [tex]2x=16[/tex]Step 3: Divide both sides by 2.
[tex]2x/2=16/2[/tex] [tex]x=8[/tex]Step 4: Check if solution is correct.
[tex]7(8)-2=5(8)+14[/tex] [tex]56-2=40+14[/tex] [tex]54=54[/tex]Therefore, x = 8.
Answer:
x=8
Step-by-step explanation:
7x-2=5x+14
collect like terms (remember when taking a value across the equality sign name sure the sign of the value changes)
7x-5x=14+2
2x=16
divides both sides by the value of x
x=16/2
x=8
At the beginning of a month, the number of people rock climbing increases and then decreases by the end of the month. The number of people zip-lining steadily increases throughout the same month. The models show the number of people y for each type of activity based on the number of days x since the beginning of the month.
a. Write a system of equations that represents this situation.
b. On what day or days were the same number of people rock climbing and zip-lining?
c. How many people were participating in each activity on that day or days?
Answer:
a)
[tex]y=-\dfrac17x^2+2x+10[/tex]
[tex]y=2x+3[/tex]
b) Equate the equations and solve for x:
[tex]-\dfrac17x^2+2x+10=2x+3[/tex]
[tex]\implies -\dfrac17x^2+2x-2x=3-10[/tex]
[tex]\implies -\dfrac17x^2=-7[/tex]
[tex]\implies x^2=49[/tex]
[tex]\implies x=\pm\sqrt{49}[/tex]
[tex]\implies x=7[/tex] (as time is positive)
The same number of people were rock climbing and zip-lining on day 7.
c) Substitute [tex]x = 7[/tex] into [tex]y = 2x + 3[/tex] and solve for y:
[tex]\implies 2(7)+3=17[/tex]
Therefore, 17 people were participating in each activity on day 7.
Answer:
The same number of people were rock climbing and zip-lining on day 7.
c) Substitute into and solve for y:
Therefore, 17 people were participating in each activity on day 7.
Step-by-step explanation:
The coordinates of the points A and B are ( 0 , -2 ) and ( 3 , 0 ) respectively.
(a) What is the y - intercept of the line AB?
(b) What is the gradient of the line AB?
(c) What is the length of the line AB?
Answer: The y-intercept is -2
The gradient is 2/3
and the length is 13
Step-by-step explanation:
here i need help for this please
A potter sells small and large ceramic bowls at a craft fair on Saturday. The potter sells a total of 32 ceramic bowls at the craft fair and earns a total of $ 916 . If the small ceramic bowls cost $ 18 each, and the large ceramic bowls cost $ 35 each, exactly how many large ceramic bowls does the potter sell at the craft fair on Saturday?
The numbers of large bowl sold at the fair is 20
Data;
Total bowl sold = 32Total amount made = $916Cost of small ceramic bowl = $18Cost large bowl = $35System of EquationTo solve this problem, we need to write system of equations for this.
Let x represent the numbers of small ceramic bowl
let y represent the numbers of large ceramic bowl
[tex]x+y=32...eq (i)\\18x + 35y = 916 ...eq(ii)[/tex]
From equation (i), let's make x the subject of formula
[tex]x + y = 32\\x = 32 - y...eq(iii)[/tex]
Let's substitute equation (iii) into equation (ii)
[tex]18x+35y = 916\\x = 32 - y\\18(32 -y) + 35y = 916\\576- 18y + 35y = 916\\17y = 916 - 576\\17y = 340\\\frac{17y}{17} = \frac{340}{17}\\ y = 20[/tex]
The numbers of large bowl sold at the fair is 20
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what is 8 divided by 7.6
Answer:
1.05263
explanation:
8 divided by 7.6
[tex]\hookrightarrow \dfrac{8}{7.6}[/tex]
multiply both by 10
[tex]\hookrightarrow \dfrac{80}{76}[/tex]
final answer
[tex]\hookrightarrow 1.05263[/tex]
At a restaurant, 600 customers were served during a 10-hour period of time. Which graph has a slope that best represents the number of customers that were served per hour at this restaurant?
The number of customers that were served per hour at this restaurant is 60 customers per hour
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
600 customers were served during a 10-hour period of time. Hence:
slope = 600 customers / 10 hours = 60 customers per hour.
The number of customers that were served per hour at this restaurant is 60 customers per hour
Find out more on linear function at: https://brainly.com/question/15602982
The proportional relationship that represents the situation is:
y = 60x.
The graph is given at the end of the answer.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality.
In this problem, 600 customers were served during a 10-hour period of time, hence:
k = 600/10 = 60.
And the equation is:
[tex]y = 60x, 0 \leq x \leq 10[/tex]
The graph is sketched at the end of this answer.
More can be learned about proportional relationships at https://brainly.com/question/10424180