Answer:
The smallest sample size that we should consider is 68.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of 10 minutes.
This means that [tex]\mu = 10[/tex]
What is the smallest sample size that we should consider?
This is n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*10[/tex]
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.7[/tex]
Rounding up:
The smallest sample size that we should consider is 68.
Find an equivalent fraction 1/8 = x/56
Answer: I think it’s 1/8 = 7/56
The value of an equivalent fraction is,
⇒ 1/8 = 7/56
We have to given that,
A fraction to solve,
⇒ 1/8 = x/56
Now, We can simplify as,
⇒ 1/8 = x/56
Cross multiplication,
⇒ 56 = 8x
⇒ x = 56/8
⇒ x = 7
Therefore, The value of an equivalent fraction is,
⇒ 1/8 = 7/56
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A graph of f(x)=10x^2-11x-6 is shown on the coordinate grid.
What are the zeros of f(x)?
-2/5 and 3/2
-6
-9 and 4
11/20 and -9
Answer:
-2/5 and 3/2
Step-by-step explanation:
f(x)=10x²-11x-6
0=10x²-11x-6
(5x+2)(2x-3)=0
5x+2=0, 2x-3=0
5x=-2, 2x=3
x=-2/5, x=3/2
find the circumference and the area of a circle with the diameter of 8 m.
Answer:
circumference = 8 x 3.14 = 25.12 m
area = 3.14(4²) = 50.24 m²
Step-by-step explanation:
Answer:
C= about 25.13
A= about 50.27
Step-by-step explanation:
The formula for circumference is 2* pi* r
The formula for area is pi *r^2
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answer:
[tex]4\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{48} \\\\4\sqrt{3}[/tex]
Answer:
the second option is correct
Step-by-step explanation:
Find the Value of x. I WILL GIVE YOU BRAINLIEST!!!!! +to the person who answers first)
Answer:
hi
Step-by-step explanation:
5x+10+2x+10+90=180
5x+2x=180-10-10-90
7x=70
x=10
have a nice day
Consider the following number line:
B
C
A+
11
=>
1
0
Drag the following cards to match each point to its value.
Point Value
А
1
5
B
0.8
3
5
Answer:
The pink A goes to the Green C on the number line. the green C goes to the pink A on the number line. The Blue B goes to the Blue B in the number line.
Step-by-step explanation:
hope it helped ;)
Imagine you deposit $4,500 into an account that pays 5,5 percent interest compounded
daily. How much interest will you earn in 30 days?
Answer:
500
Step-by-step explanation:
What is the area of the figure? I give brainliest! :)
Answer: I think it is 142
Step-by-step explanation:
91 + 51 = 142
A(b) is a function
True or false
Answer:
false
Step-by-step explanation:
because if one of the right side goes to two or more of the left its not a function
Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour. Determine the following: a) Probability of no orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item a) of the question statement b) Probability of 3 or more orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item b) of the question statement c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001. Round your answer to two decimal places (e.g. 98.76).
Answer:
a) 0.39984 = 39.984% probability of no orders in five minutes.
b) 0.06563 = 6.563% probability of 3 or more orders in five minutes.
c) The length of time is 0.63 hours
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour.
This means that [tex]\mu = 11h[/tex], in which h is the number of hours.
a) Probability of no orders in five minutes.
Five minutes means that [tex]h = \frac{5}{60} = \frac{1}{12}[/tex], so [tex]\mu = \frac{11}{12} = 0.9167[/tex]
This probability is P(X = 0). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]
0.39984 = 39.984% probability of no orders in five minutes.
b) Probability of 3 or more orders in five minutes.
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]
[tex]P(X = 1) = \frac{e^{-0.9167}*(0.9167)^{1}}{(1)!} = 0.36653[/tex]
[tex]P(X = 2) = \frac{e^{-0.9167}*(0.9167)^{2}}{(2)!} = 0.168[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.39984 + 0.36653 + 0.168 = 0.93437[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.93437 = 0.06563[/tex]
0.06563 = 6.563% probability of 3 or more orders in five minutes.
c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.
This is h for which:
[tex]P(X = 0) = 0.001[/tex]
We have that:
[tex]P(X = 0) = e^{-\mu}[/tex]
And
[tex]\mu = 11h[/tex]
So
[tex]P(X = 0) = 0.001[/tex]
[tex]e^{-11h} = 0.001[/tex]
[tex]\ln{e^{-11h}} = \ln{0.001}[/tex]
[tex]-11h = \ln{0.001}[/tex]
[tex]h =-\frac{\ln{0.001}}{11}[/tex]
[tex]h = 0.63[/tex]
The length of time is 0.63 hours
Which of the following expressions is/are equivalent to 16x + 8-2?
A. 22x
B. 24x2
C. 16x+ 6
D. 2(8x + 3)
E. 2(8x 8 - 2)
F. 4(4x + 2) - 2
Tom works at an aquarium shop cleaning reef tanks. His job is to drain the tank. How much water is initally in
the tank before he starts to drain it?
Time (minutes)
Amount of Water
1
150
3
100
6
25
There are 175 cubic unit initially in the tank
How to determine the initial amount of water?The table of values is given as:
Time (minutes) Amount of Water
1 150
3 100
6 25
Calculate the slope (m) of the table using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (100 - 150)/(3 -1)
Evaluate
m = -25
This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit
When x = 1, y = 150
So, we have:
x = 1 - 1 when y = 150 - (-25)
This gives
x = 0 when y = 175
Hence, there are 175 cubic unit initially in the tank
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Does the point (-8, 8) satisfy the inequality 16x + 15y = -8?
yes
no
Answer:
Yes
Step-by-step explanation:
16x+15y=-8
16(-8)+15(8)=-8
-8=-8
Hope that helps :)
Answer:
True
Step-by-step explanation:
The left side − 8 is equal to the right side − 8 , which means that the given statement is always true.
200 miles divided by 8
Answer:
25
200 divided by 8 is 25.
Step-by-step explanation:
Question 2(3 - 3x) = -18
Answer:
x=4
Step-by-step explanation:
1. Rearrange terms
[tex]2(-3x+3)=-18[/tex]
2. Distribute
[tex]-6x+6=-18[/tex]
3. Subtract 6 from both sides of the equation
[tex]-6x+6-6=-18-6[/tex]
4. Simplify by subtracting the numbers
[tex]-6x + 6-6=-18-6[/tex]
[tex]-6x=-18-6[/tex]
[tex]-6x=-24[/tex]
5. Divide both sides of the equation by the same factor
[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]
6. Simplify
a) Simplify the fraction
[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]
[tex]x = \frac{-24}{-6}[/tex]
b) Divide the numbers
[tex]x=+4[/tex]
7. Remove the postive sign.
[tex]x=4[/tex]
Find the Mode:
88, 82, 81, 89, 77, 95
89, 90, 81, 75
Answer:
81 is the mode
Step-by-step explanation:
THe mode is the number ina. Set of data that appears the most. In this case, 81 appears twice while all the other numbers only appeared once. So 81 in this case is the mode.
Jin is planning to drive from City X to City Y. The scale drawing below shows the
distance between the two cities with a scale of 1/4 inch = 14 miles.
Answer:
84 miles
Step-by-step explanation:
Distance between the two cities on the drawing = 1½ in.
Scale of drawing = ¼ inches is to 14 miles
Actual distance between the two cities using proportion:
(14*1½)/¼
Actual distance = 84 miles
Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothies Total
17
250
Eighth-graders 233
Ninth-graders 240
10
250
Total
473
27
500
What is the relative frequency of eighth-graders who want fruit smoothies?
O A. 0.03
OB. 0.02
O C. 0.48
O D. 0.17
Answer:0.03
Step-by-step explanation:
Answer:
0.03
Step-by-step explanation:
The radius of the inside circle is 8 inches. The radius of the larger circle is 4 inches more than the radius of the small circle.
What is the area in square inches of the shaded area? Use 3.14 for π and round your answer to the nearest whole number.
Answer:
Area of shaded region=2 ×3.14×R -2×3.14×r(where R is lager radius and r is smaller radius.)
Therefore area of shaded region=2×3.14×12 -2×3.14×8
=2×3.14(12-8)
=6.18 ×4
=24.72 inc^2
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINIEST
Answer:
y < 4
Step-by-step explanation:
2(5y-2) < 36
Divide both sides by 2.
5y-2 < 18
Add 2 to both sides.
5y < 20
Divide both sides by 5 to isolate y.
y < 4
( 25 points because nobody is answering it!!!!!!! ive posted this question like 4 other timesssss)
During an experiment, the temperature of a liquid increased 6 degrees in 30 minutes. The temperature increased at a steady rate.
By how much did the temperature increase every minute?
Answer:
0.2
Step-by-step explanation:
[tex]\frac{6}{30} =\frac{x}{1} \\\\30x=6\\\\x=\frac{6}{30} \\\\x=\frac{1}{5}[/tex]
1/5 = 0.2
Answer:
the temperature increase is 0.2 degrees per minute
Step-by-step explanation:
pls help =pdndjn mkZbn v
Answer:
Step-by-step explanation:
Past: The birds flew away quickly
Present: The geese honk at the passerby
Future: The ducklings will hatch soon
Answer:
[Past] The birds flew away quickly.
[Present] The geese honk at passersby.
[Future] The ducklings will hatch soon.
_______________________________
I can't see the options on the second image.
I don’t understand this...I’ve tried reading for answers, but this question stumps me. Please help!
Answer:
x=1, y=-5
Step-by-step explanation:
4(1)+2y=-6
2y=-10
y=-5
or
-3x-2(-5)=7
-3x=-3
x=1
Hope this helps!
In the formulae below, make x the subject:
1. a) P = 2mx
Answer:
x = P/2m
Step-by-step explanation:
x is the subject of the formula, and we can express it as: x = P / (2m)
How make x the subjectTo make x the subject in the formula P = 2mx, we can rearrange the equation to isolate x on one side.
Starting with the equation:
P = 2mx
To solve for x, divide both sides of the equation by 2m:
P / (2m) = (2mx) / (2m)
This simplifies to:
P / (2m) = x
Therefore, x is the subject of the formula, and we can express it as:
x = P / (2m)
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what's up with all the answers with fake links that say something like "here is the answer click the link" and its not even a real link ???
Answer:
I dont even know lol
Step-by-step explanation:
Answer:
Like when its in a file? They just like to take your points
Step-by-step explanation:
The model represents the percentage of family households in the 2012 census. What percent of households were not considered families?
A:75%
B:65%
C:65%
D:35%
also it's not c I got it wrong
Two consecutive integers have a product of 12. What is the initial equation that would be used
to solve this?
x² = 12
x(x + 1) = 12
2 (2+2) = 12
x(x − 2) = 12
Answer:
x(x+1) = 12
Step-by-step explanation:
If a number is x then it's consecutive number will be x + 1.
And their product x(x+1)
What is the value of x?
(Only type the numerical value. Do not type x= before your answer)
Answer:
Step-by-step explanation:
study lol
The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.
Select the answers from the drop-down menus to complete the statements.
The mean apples picked
Choose...
because of the outlier.
The median apples picked
Choose...
because of the outlier.
The range
Choose...
because of the outlier.
Answer:
The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.
Select the answers from the drop-down menus to complete the statements.
The mean apples picked decreases because of the outlier.
The median apples picked decreases because of the outlier.
The range increases because of the outlier.
Step-by-step explanation:
The mean apples picked decreases because of the outlier.
The median apples picked decreases because of the outlier.
The range increases because of the outlier.
What is Dot plot?A dot plot, also called a dot chart, is a sort of simple histogram-like chart used in statistics for very small data sets where values fit into a number of discrete bins. To create a dot plot, count the number of data points in each bin and draw a stack of dots with that number of dots on top for each bin.
The number of apples gathered by a household is represented by the dot plot. Describe how the data outlier influences the statistical summary of the data.
To finish the statements, choose the appropriate answers from the drop-down menus.
Because of the outlier, the average number of apples picked lowers.
Because of the outlier, the median number of apples chosen falls.
Because of the outlier, the range expands.
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A local movie theater is trying to find the best price at which to sell popcorn. To reach its goal of making at least $50,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business. The firm determined that the best-case scenario for the theater’s revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars. Complete the statements about the system’s possible solutions. The point is of this system. The point is of this system.
The question is incomplete. The complete question is :
A local movie theater is trying to find the best price at which to sell popcorn To reach its goal of making at least 550,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business The firm determined that the best case scenario for the theater's revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars [tex]$r \leq -0.23p^2+2.25p$[/tex] and r ≥ 5 solutions Complete the statement( a viable solution, both a viable and a nomlable solution). The point (4,6) a nonviable solution The point (6,5) mola bouton of this system of this system.
Solution :
Total amount to be targeted by selling of popcorns in the movie theatre is 550,000.
A viable solution is one which has a definite meaning or definite solution to the question in context whereas a non viable solution does not have a definite relevant solution to the question.
In the context,
The point (4,6) is a non viable solution as it does not satisfy 1st inequality and only satisfies the second inequality.
The point (6,5) is a viable solution as it satisfies both the inequalities.
Answer:
The point of (4,6) is not a solution of this system/
The point of (6, 5) is a viable solution of this sytem
Step-by-step explanation:
Plato LIves Matter