Answer:
62 trees = 100%
62 / 2 = 31 trees
100% / 2 = 50%
31 trees = 50%
Step-by-step explanation:
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 145145 millimeters, and a standard deviation of 77 millimeters. If a random sample of 3131 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 33 millimeters
Answer:
The probability that the sample mean would differ from the population mean by greater than 33 millimeters is 0.0174
Step-by-step explanation:
[tex]Mean = \mu = 145 mm[/tex]
Standard deviation =[tex]\sigma = 7[/tex]
We are supposed to find the probability that the sample mean would differ from the population mean by greater than 3 millimeters
[tex]P(|x-\mu|>33)=1-P(|x-\mu|<3)\\P(|x-\mu|>33)=1-P(-3<|x-\mu|<3)\\P(|x-\mu|>33)=1-P(\frac{-3}{\frac{\sigma}{\sqrt{n}}}<\frac{|x-\mu|}{\frac{\sigma}{\sqrt{n}}}<\frac{-3}{\frac{\sigma}{\sqrt{n}}})\\P(|x-\mu|>33)=1-P(\frac{-3}{\frac{7}{\sqrt{31}}}<\frac{|x-\mu|}{\frac{\sigma}{\sqrt{n}}}<\frac{-3}{\frac{7}{\sqrt{31}}})\\P(|x-\mu|>33) =1-P(-2.38<z<2.38)\\P(|x-\mu|>33) =1-(P(z<2.38)-P(z<-2.38))\\[/tex]
Using Z table
= 1-(0.9913-0.0087)
=0.0174
Hence the probability that the sample mean would differ from the population mean by greater than 33 millimeters is 0.0174
A resident of Bayport claims to the City Council that the proportion of Westside residents
(1) with income below the poverty level is lower than the proportion of Eastside residents
(2) The City Council decides to test this claim by collecting a random sample of resident incomes from the Westside of town and a random sample of resident incomes from the Eastside of town. Seventy-six out of 578 Westside residents had an income below the poverty level. Hundred-and-twelve out of 688 Eastside residents had an income below the poverty Specify the hypotheses.
Calculate the value of the test statistic (round to 4 decimal places).
Calculate the p-value (round to 4 decimal places).
Answer:
The test statistics is [tex]z = -1.56 [/tex]
The p-value is [tex]p-value = 0.05938 [/tex]
Step-by-step explanation:
From the question we are told
The West side sample size is [tex]n_1 = 578[/tex]
The number of residents on the West side with income below poverty level is [tex]k = 76[/tex]
The East side sample size [tex]n_2=688[/tex]
The number of residents on the East side with income below poverty level is [tex]u = 112[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 < p_2[/tex]
Generally the sample proportion of West side is
[tex]\^{p} _1 = \frac{k}{n_1}[/tex]
=> [tex]\^{p} _1 = \frac{76}{578}[/tex]
=> [tex]\^{p} _1 = 0.1315 [/tex]
Generally the sample proportion of West side is
[tex]\^{p} _2 = \frac{u}{n_2}[/tex]
=> [tex]\^{p} _2 = \frac{112}{688}[/tex]
=> [tex]\^{p} _2 = 0.1628 [/tex]
Generally the pooled sample proportion is mathematically represented as
[tex]p = \frac{k + u}{ n_1 + n_2 }[/tex]
=> [tex]p = \frac{76 + 112}{ 578 + 688 }[/tex]
=> [tex]p =0.1485[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }[/tex]
=> [tex]z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }[/tex]
=> [tex]z = -1.56 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(z < -1.56 )[/tex]
From z-table
[tex]P(z < -1.56 ) = 0.05938[/tex]
So
[tex]p-value = 0.05938 [/tex]
PLEASE HELP!!!!!
WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZWX has a measure of 60 degrees. Find the measure of angle ZYW.
Answer:
ZYW = 17.
Step-by-step explanation:
ZYW = XYW = 180 - 133 + 30(sum of angles in a triangle) = 17.
The measure of angle ZYW is 17.
Given that,
The Angle WXY has a measure of 133 degrees.And, the angle ZWX has a measure of 60 degrees.Based on the above information, the calculation is as follows:
= 180 - 133 - 30
= 17
Also ZYW = XYW
Therefore we can conclude that the measure of angle ZYW is 17.
Learn more: brainly.com/question/17581080
7 more than 3 times a number is 49.What is the number?
Answer:
14
Step-by-step explanation:
Let x be the missing number
3x + 7 = 49 [Given equation]
3x = 42 [Subtract 7 from both sides of the equal sign]
x = 14 [Simplify]
Hope this helps! I apologize if I get this incorrect.
Answer:14
Step-by-step explanation: I hope this helps plz tell me if its wrong so i can fix it :)
Which of the following is an equation that involves a variable under a radical sign?
Quadratic Equation
Radical Eqaution
Exponential Equation
Linear Equation
If g(x) =5-9x and f(x) = 5+ 3x
Find g(2)
Find f(g(2))
Answer:
Step-by-step explanation:
g(2)= 5-9(2)
= -13
f(g(2))= 5+3(-13)
= -34
Answer:
g(2) = -13
f(g(2)) = -34
Explanation:
For g(2), just substitute 2 in for the x, multiply, and simplify.
g(x) = 5-9(x)
g(2) = 5-9(2) = 5-18 = -13
For f(g(2)), substitute this output in for x, multiply, and simplify.
f(x) = 5 + 3(x)
f(g(2)) = 5 + 3(g(2)) = 5 + 3(-13) = 5-39 = -34
HELP ASAP !!!! WILL MARK BRANLIEST !
A group of students is investigating whether wheels affect the force of friction. The students push two boxes each with the same force on a table. One box has wheels and the other does not have wheels. The distance traveled by each box is shown.
Experimental Observations
Student 1 Student 2 Student 3 Student 4
Distance traveled by box with wheels 24 cm 22 cm 20 cm 23 cm
Distance traveled by box without wheels 12 cm 14 cm 15 cm 13 cm
Which step should the students take next?
Make a hypothesis
Test another variable
Analyze the results
Share their conclusion
Answer: Yes wheels affect the force, with wheels it moves longer and faster without wheels it doesn't move as much and doesn't go fast.
So they should; Share their conclusion
Step-by-step explanation: This really ez
please help me asap
Answer:
11. 6
12. The last option, A=1/4, B=7/16, C=5/8, D=3/4
Step-by-step explanation:
11. look at the denominators, and what do you see? I see that 11 is 88 divided by 8. So, let's divide the numerator by 8 as well! 48/8=6
12. 1/4 is half of 1/2, so it would be between 0 and 1/2, or A
Same thing with 3/4 but this time in the middle of 1/2 and 1, or D
5/8 is a little over 4/8, or 1/2, so C
The last one left is 7/16, B
A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurment is closet to the circumference of the circle un meters.
Answer: Is D 69.08
Formula:C=Pi(d)
C=22 times 3.14 equals 69.08
Circumference=69.08
Hope this helps :)!
Which fraction is equivalent to 0.018?
55
2.
111
9
500
17
900
Please help
Answer:
0.018=9/500 as a fraction
Step-by-step explanation:
Pls help i dont understand :( will give Brainliest + 25 Points
well,
2/3x is the slope, and b is the y-intercept, y is the y coordinate
it can only be one of the last 2
It is the LAST one
x=6
y=-5
-5 = 2/3(6)-9
-5 = 4-9
-5 = -5
the answer is the last one
Answer:
Step-by-step explanation:
part d
y=2/3x-9
What numbers rounded to 200,000 when rounded to the nearest hundred thousand
Answer:
The answer would be 150,000 to 249,999
What is the inverse of f(x) =1/3x+2
Today it rained 2 inches and continues to rain at a rate of one fourth inch per hour what is the liner model in y=X+
Answer:
y=[tex]\frac{1}{4}[/tex]h+2
Step-by-step explanation:
three numbers that have 2, 4, and 8 as factors. What other factors do these numbers have in common?
The figures below are scaled copies. Identify the corresponding parts.
Answer:
a. ∠U
b. ∠D
c. WX
d. ST
Step-by-step explanation:
Suppose there is a 27.4% probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is a 29.3% probability that a randomly selected person age 40 years or older is male, given that he or she jogs.
Required:
a. What is the probability that a randomly selected person age 40 years or older is male and jogs?
b. Would it be unusual to randomly select a person aged 40 years or older who is male and jogs?
Answer:
a
[tex]P(M \ n \ J ) = 0.0802 [/tex]
b
Yes
Step-by-step explanation:
From the question we are told that
The probability that a random selected person of age 40 years or older is a jogger is [tex]P(J) = 0.274[/tex]
The probability that a random selected person of age 40 years or older is a male given that he/she jogs is [tex]P(M |J) = 0.293[/tex]
Generally the probability that a randomly selected person age 40 years or older is male and jogs
[tex]P(M \ n \ J ) = P(M|J) * P(J)[/tex]
[tex]P(M \ n \ J ) = 0.293 * 0.274 [/tex]
[tex]P(M \ n \ J ) = 0.0802 [/tex]
Generally it would be unusual because the probability that a randomly selected person age 40 years or older is male and jogs is greater than 0.05[border line for statistical significance]
256=(1/4)3x+2Solve the exponential equation for x.
Answer:
Exact Form:
x =1016 /3
Decimal Form:
x = 338. ¯ 6
Mixed Number Form:
x = 338 2/3
Step-by-step explanation:
the quotient of 9 3/4 and 5/8
Answer:
15.6
Step-by-step explanation:
[tex]9\frac{3}{4} = \frac{39}{4}[/tex] Plug 39/4 in: 39/4 ÷ 5/839/4 ÷ 5/8 = 39/4 × 8/539/4 × 8/5 = 312/20[tex]\frac{312}{20} = 15.6[/tex]I hope this helps!
Answer:
15 3/5
Step-by-step explanation:
9 3/4 ÷ 5/8
39/4 ÷ 5/8
39/4 x 8/5
39 x 8 / 4 x 5
312 / 20
312 ÷ 4 / 20 ÷ 4
78/5, or 15 3/5
I need help fast
please help
Calculating the right recipe for Jerome 22 people are running in tomorrow’s world racing drone thinks they will each want to cups of energy drink how much water and how much drink make sure Jerome used to make enough energy drink for all the runners create a table and show your work and explain in writing your results
Answer:
you need to provide more information lol
Step-by-step explanation:
e
help me pls I don't get this question
Answer:
To multiply mixed numbers:
Step-by-step explanation:
1. convert to improper fractions
2. top * top
3. bottom * bottom
4. convert back into a mixed number
Answer:
Hi!
In these questions you're being asked to multiply mixed numbers. The easiest way to do this is to convert the mixed numbers to improper fractions, and then multiply them in that form.
For the first question:
[tex]1\frac{3}{5} = \frac{8}{5} ; 1\frac{2}{5} =\frac{7}{5} \\[/tex] To convert the mixed numbers to improper fractions, you just multiply the denominator by the whole number, and then add it to the current numerator, forming the new numerator. The denominator stays the same.
[tex]\frac{8}{5} *\frac{7}{5} = \frac{56}{25}[/tex] Next, multiply together the numerators, and then multiply together the denominators.
[tex]\frac{56}{25} = 2\frac{6}{25}[/tex]
In the cafeteria, 100 milk cartons were put out for breakfast. After breakfast there were 40 milk cartons left. What is the ratio of milk cartons taken to total milk cartons put out for breakfast.
Answer:
3:5
Step-by-step explanation:
There were 100 milk cartons there and someone took 100-x=40. Add 100 on both sides 40-100=-60 so 60 milk cartons were taken. So the ratio would be 60:100, which can be simplified further 30:50 15:25 3:5.
Luke and Leia are selling hot dogs and hamburgers at a minor league baseball game. At the end of the day they determine they have sold a total of 45 items and earned $195. If hot dogs cost $4 and hamburgers cost $5, how many did they sell of each?
What would be a system of equations for the scenario above?
Answer:
15 hamburgers were sold and 30 hotdogs were sold.
The systems of equations are x + y = 45 and 4x + 5y = 195.
Step-by-step explanation:
Let's make two equations.
x + y = 45
This represents the total of hotdogs and hamburgers sold
4x + 5y = 195
This represents the amount of money made for each food.
These are systems of equations, when you use 2 equations to solve a problem. I will use the strategy, Elimination for the following systems of equations. Anyways the goal is to multiply a number to x + y = 45 to cancel out one of the variables in 4x + 5y = 195. In other words, when we add these equations, the sum of the xs or ys will equal 0.
Let's multiply -5 to both x and y.
Now we have -5x -5y = -225 + 4x + 5y= 195
We will end up with -x = -30. This means that x = 30.
Now that we know x = 30, we can plug in 30 as x in one of the equations. I will plug in 30 into x + y = 45. 30 + y = 45.
Solve for y in 30 + y = 45, so y=15.
This means 15 hamburgers were sold and 30 hotdogs were sold.
44756 divided by 167
Answer:
268
Step-by-step explanation:
hope this helps if not im sorry
Multiply 11.3 x 4.16
Answer:
47.008
Step-by-step explanation:
Carlos is having a big party. He invited 5 times as many children as adults. He invited 15 adults. Which equation shows how to find the number of children invited to the party?
Answer:
75 children.
Step-by-step explanation:
If the amount of children is 5 times as many adults, you just need to multiply 15x5.
15x5=75 The number of children invited to the party is 75.
If you wanted this in an algebraic equation, it would look similar to this...
15(5)=x To solve for x, multiply 15 by 5.
75=x
Hope this helps! Have a great day ^^
9.The Bridgeport water department has a monthly service charge of $12.60 and a volume charge of
$1.38 for every 100 cubic feet of water. Write an equation that can be used to determine the Morgan
family's monthly water bill.
[tex]y = 1.38x + 12.60[/tex]
Step-by-step explanation:
the 12.60 is going to be charged every months no matter what it's fixed so that's why it's added! the 1.38 is a rate, so how many cubic inches she uses in increments of 100 she will be charged so that depends on how much she uses in addition to that 12.60for example she uses 700 cubic feet of water once month well (x) will be 7 because u divide it by 100 and it'll give u ur "x". put it into the formula and it'll give the price she'll have to pay. 1.38(7) + 12.60 and this will equal $21.70 !Which statement is correct?
Answer:
c is correct
Step-by-step explanation:
Brainly Crown Pls
Write an
equivalent expression by distributing the "_' "sign outside the parentheses:
- (9r – 3.2s) + 4
Answer:
-9r+3.2s+4
Step-by-step explanation:
- (9r – 3.2s) + 4
Distribute the minus sign
-9r - -3.2s+4
Subtracting a negative is like adding
-9r+3.2s+4