Answer:
A sample of 2017 people should be taken.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Suppose a 95% confidence level:
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Preliminary estimate of the proportion who smoke of .30.
This means that [tex]\pi = 0.3[/tex]
a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of .02 (to the nearest whole number)
This is n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.02})^2[/tex]
[tex]n = 2016.84[/tex]
To the nearest whole number, 2017.
A sample of 2017 people should be taken.
a submarine dives as shown in the diagram. to the nearest degree, determine the dive angle whose measure is X.
Answer:
75.96
Step-by-step explanation:
[tex]Tan= \frac{opposite}{adjacent}[/tex]
[tex]Tan X= \frac{500}{125}[/tex]
[tex]Tan X ^{-1} (Tan X)= Tan X ^{-1}(\frac{500}{125} )[/tex]
Answer 75.96
3. $595 refrigerator; 22% discount.
Show the work
Answer:
Discount: $130.90
Total cost after discount: $464.10
Step-by-step explanation:
Since I don't know what the actual question is, I will solve for the discount:
595 × 22%
Convert percentage into decimal
595 × 0.22
130.9
Discount is 130.9
Now I'll solve for how much that will take off from the original price:
595 - 130.9
464.1
Can someone please help me
Melinda baked 40 muffins for her school bake sale. At the bake sale, each muffin cost $1.50. How many money would the bake sale make if they sold all of Melinda's muffins?
Answer:
60$
Step-by-step explanation:
:)
Answer: $60
Step-by-step explanation: If each muffin cost 1.50 that means that all 40 muffuins = 1.50 each so all you have to do is 1.50 times 40 cus there is 40 muffins and your trynna figure out the price altogether or you can add 1.50+1.50 40 times
Please help me ! Will mark Brainly
Answer:
1512cm is the answer.
Step-by-step explanation:
Help plz I’ll mark brainliest
Answer:
A.
Step-by-step explanation:
PLZ mark brainliest!
Find the area of the shape below.
Give your answer in terms of pi
6cm
8cm
32cm
The diagram is not drawn to scale.
9514 1404 393
Answer:
164π cm²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...
1/2A = (1/2)(π)(d/2)² = (π/8)d²
The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.
The total area will be ...
area of largest + area of middle-size - area of smallest
= (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²
The area of the shape is 164π cm².
In ΔPQR, p = 75 inches, q = 73 inches and r=35 inches. Find the measure of ∠P to the nearest 10th of a degree.
Answer:
79.5
Step-by-step explanation:
a^2 =b^2+ c^2-2bc cos A
cos p = 73^2+35^2-75^2/2(73)(35)
cos p= 9229/5110
cosp=79.5
The measure of ∠P to the nearest 10th of a degree is 79.5
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
We are given that In ΔPQR, p = 75 inches, q = 73 inches and r=35 inches.
u² = s² + t² - 2(s)(t)·cos U
Now substituting;;
cos p = 73²+35²-75² /2(73)(35)
cos p= 9229/5110
cosp=79.5
The measure of ∠P is 79.5
Learn more about cosine rule;
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f(x) = -4x +1 and g(x) =13, for what value of x does f(x) equal g(x)?
Soes a square have any parallel lines? If yes how many
Answer:
2 sets of parallel lines
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2
if im correct can i get crown
Can someone help me with this?
Find x. Round to the nearest tenth.
xº
13
15
Answer:
x= 49.1
Step-by-step explanation:
Please see the attached picture for the full solution.
which table represents a function
Answer:
The last one
Step-by-step explanation:
A function is where every x has only one y value.
Identify the slope (CA) of triangle ABC.
it is 1/3 because its the opposite of counting
What number has a digit 9 that is 10 times the value of the digit 9 in 0.79. Need help now
Answer:
0.9 or 7.9
Step-by-step explanation:
Mark brainliest please
Find the value of x and y. This has to do with geometry
Answer:
x = 30°
y = 30°
Step-by-step explanation:
By inscribed angle theorem:
[tex]x = y = \frac{1}{2} \times 60 \degree \\ \\ x = y = 30 \degree[/tex]
Please help with this question. This is due today!
Answer:
3x° = 60°
2x° = 40°
Step-by-step explanation:
3x + 80 +2x = 180° (Linear Pair)
5x + 80 = 180
5x = 180 - 80
5x = 100
x = 20
Substituting the value for x,
3x° = 3 × 20 = 60°
2x° = 2 × 20 = 40°
Adam measured a line to be 6.4 inches long. If the actual length of the line is 6.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
If John has an eye level of 6 feet above the ground and
he is standing 60 feet from a flagpole that is 48 feet tall,
then what is the angle of elevation?
Answer:
Step-by-step explanation:
48fy
find the time required for an investment of $3000 to grow to $8000 at an interest rate of 7.5% per year, compounded quarterly ( round the answer to two decimal places)
Answer:
13.20 yearsStep-by-step explanation:
Investment P = $3000Final amount F = $8000Interest rate r = 7.5% = 0.075Compound number n = 4Time t = ?Formula:
F = P(1 + r/4)^(4t)Solve for t:
8000 = 3000(1 + 0.075/4)^(4t)8/3 = 1.01875^(4t)4t log 1.01875 = log (8/3)4t = 0.42596 / 0.008067t = 1/4(52.80)t = 13.20does anyone know how to solve this? I have to find lengths FJ, DM, and EM
Answer:
FJ= 24
DM= 16
EM= 18
Step-by-step explanation:
The centroid is twice as close along any median to the side that the median intersects as it is to the vertex it emanates from.
So in the case of FJ, the median intersects the side at point J and extends from vertex F. This means that FM is twice as long as MJ. It tells us that MJ is 8, so MF would be 16. Now because FJ is just FM+MJ, FJ is 24.
It also tells us that DK is 24, which means that DM+MK = 24. If DM is twice as long as MK, that would make MK equal to 8 and DM equal to 16
Similarily, EM would be twice as long as ML. It says that ML=9 so that would make EM=18
The sum of two numbers is -17. Their difference is 41. Find the numbers
Answer:
Step-by-step explanation:
x+y = -17
x-y = 41
------------
2x = 24
x = 12
y = -x-17 = -29
PLEASE HELP D:
Which of the following possibilities will form a triangle?
A - Side = 16 cm, side = 8 cm, side = 7 cm
B - Side = 16 cm, side = 9 cm, side = 7 cm
C - Side = 17 cm, side = 12 cm, side = 7 cm
D - Side = 17 cm, side = 11 cm, side = 5 cm
Answer:
Step-by-step explanation: Three line segments can form a triangle, if the sum of any two lengths is greater than the third length. In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.
Step-by-step explanation:
you have to study
Answer:
A,B and D form a triangle
Step-by-step explanation:
A - Side = 16 cm, side = 8 cm, side = 7 cm
16>8+7=15 form a triangle
B.- Side = 16 cm, side = 9 cm, side = 7 cm
16>9+7=16 form a triangle
C - Side = 17 cm, side = 12 cm, side = 7 cm
18>12+7=19 not form a triangle
D - Side = 17 cm, side = 11 cm, side = 5 cm
17>11+5=16 form traingle
Lila collected the honey from 3 of her beehives. From the first hive she collected 2/3 gallon of honey. The last two hives yielded 1/4 gallon each.
How many GALLONS of honey did Lila collect in all?
Answer: 1 1/6
Step-by-step explanation: i dont know if this is right, but hope it helps
Answer:
1 1/6
Step-by-step explanation:
Given function:
find the three beehives honey Lila total collected2/3,1/4,1/4Combine the terms:
[tex]\frac{2}{3}+\frac{1}{4}+\frac{1}{4}=\frac{2}{3}+\frac{2}{4}[/tex]Simplfly the fraction terms:
[tex]\frac{2}{3}[/tex]·[tex]4=\frac{8}{12}[/tex] [tex]\frac{2}{4}[/tex]·[tex]3=\frac{6}{12}[/tex]Combine the terms:
[tex]\frac{8}{12}+\frac{6}{12}=\frac{14}{12}[/tex]Simplifly the final value:
[tex]\frac{14}{12}=1\frac{2}{12}[/tex] [tex]1\frac{2}{12}=1\frac{1}{6}[/tex]Therefore, the three beehives gives a total of 1 1/6 honey..
The time spent watching a movie. Discrete or Continuous?
Answer:
The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.
The time spent watching a movie is an example of Continuous function.
What is the difference between Discrete and Continuous?We gather information to look for connections, patterns, and other ideas. For instance, if you keep track of how many push-ups you perform every day for a month, your overarching objective is to assess your development and rate of advancement. For example heart beat rate, signal, etc.
Numerical information that is continuously referred to the undefined variety of measurements that might be taken across two realistic sites. For example - time, wind, temperature, pressure, etc.
Despite the fact that these numbers are often gathered via accurate measurements, they are also not necessarily neat and orderly as those in categorical data.
The time spent watching a movie is an example of Continuous function.
More about the Discrete and Continuous link is given below.
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A marketing manager wishes to determine whether a relationship exists between the number of cereal boxes (Y) sold at the company's retail store and the number of clerks on duty (X) per day. The sample data below will be used to examine this empirical problem. Calculate the slope of the regression line.
X Y
3 4
2 4
2 2
1 2
a. 0
b. 1
c. 2
d. None of the above
Answer:
I’m very unsure but I think it is b
Step-by-step explanation:
A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years. Construct a 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years. Round your answer to three decimal places.
Answer: aA 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years = (0.163,0.189)
Step-by-step explanation:
Let p = population proportion of adults in the U.S. who have donated blood in the past two years.
Given: A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.
Sample size: n= 2322
Sample proportion [tex]q=\dfrac{408}{2322}=0.176[/tex]
Critical z-value for 90% confidence level : z*=1.645
The confidence interval for population proportion:
[tex]q\pm z^*(\sqrt{\dfrac{q(1-q)}{n}})[/tex]
A 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years:
[tex]0.176\pm (1.645)(\sqrt{\dfrac{0.176(1-0.176)}{2322}})\\\\=0.176\pm (1.645)(0.0079)\\\\=(0.176\pm0.013)\\\\=(0.176-0.013,0.176+0.013))\\\\=(0.163,0.189)[/tex]
Hence,
Select the three statements that give benefits of having a savings account.
if there were an emergency, I would have the money to cover expenses
Which equation represents the line shown in the graph?
O A. y = - 2x
B. y = -x
C.y = -1/2x
D.y=1/2x
E.y=2x
The ratio of the number of boys to the number of girls in orchestra is 3 to 2. There are 40 girls in the orchestra, how many boys are in the orchestra? (GIVING BRAINLIEST!!)
Answer:
there are 30 boys in the orchestra
The perimeter of a triangle is34 ft. One side of the triangle is 2 times the second side. The third side is 6 ft longer than the second side. Find the length of each side
Let the second side = x
The first side is 2x ( 2 times the second side)
The third side is x + 6 ( 6 feet longer than the second side)
Now you have: x + 2x + x + 6 = 34
Simplify to get:
4x + 6 = 34
Subtract 6 from both sides
4x = 28
Divide both sides by 4:
X = 7
1st side = 2x = 2*7 = 14 feet
2nd side = x = 7 feet
3rd side = x + 6 = 7 + 6 = 13 feet