Answer:
Step-by-step explanation:
10
An auto assemply worker requires 4 electrical fuses for each vehicle. The supplier of the fuses has informed the plant manager that 5% of all the fuses they produce are defective. Assume that the assembly worker selects the 4 fuses for any vehicle at random and independently of each other. If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses
Answer:
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a vehicle having all defective fuses:
5% of fuses are defective, which means that [tex]p = 0.05[/tex]
A vehicle has 4 fuses, which means that [tex]n = 4[/tex].
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]
If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?
For each vehicle, 0.00000625 probability of having all defective fuses. For 2:
[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
What is the circumference of a circle with a diameter of 58 centimeters?
Step-by-step explanation:
by using the formula of circumference with diameter pie ×diameter
dont give me files. answer on here only.
Answer:
Look at the image.
Step-by-step explanation:
Use Euler's formula to find the missing number.
Vertices: 13
Edges: 26
Faces: ?
A.14
B.15
C.16
D.17
Answer:
15
Step-by-step explanation:
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Help! PLEASEEE! THANK YOU FOR HELPING BTW!
Answer:
Use the slope formula and slope-intercept form y = mx + b to find the equation you get:
y = 8x
If thats not what your looking for then for every 1 (x) you get 8 (y)
Step-by-step explanation:
hi could someone please tell me if this is correct?:)
PLEASE HELP ME ASP !!
Answer:
B
Step-by-step explanation:
if its a straight line, then just subtract from 180
180 - 84 = 96
Write the equation of the graph
Answer:
x + 2y - 5 = 0
Step-by-step explanation:
We can see that , the graph passes through (0,2.5) and (5,0) . Therefore the ,
x intercept is 5 y intercept is 2.5We can use the intercept form of equation as ,
=> x/a + y/b = 1
=> x/5 + y/2.5 = 1
=> x + 2y/5 = 1
=> x + 2y = 5
=> x + 2y -5 = 0 .
This equation can be verified by plotting the graph .[ Refer to attachment ]
Hence the equation of the line is x + 2y - 5 = 0 .Binomial distributions
The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52.5%. What is the probability that in a random sample of 430 voters, less that 49.6% say they will vote for the incumbent?
Answer: the vote will get 82.45%
Step-by-step explanation:
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Answer:
the green socks are cheaper than the orange
Step-by-step explanation:
common maths
Answer:
Green socks graph: 3-5, 6-10, 9-15, 12-20, 15-25
Orange socks graph: 5-9, 10-18, 15-27, 20-36, 25-45
Green socks are cheaper
Step-by-step explanation:
If 50 students were surveyed about their after-school sports, how many students play soccer?
Answer:
15
Step-by-step explanation:
30% is equal to 0.3 as a proportion
Multiply 50 by 0.3 to get the number of students who play soccer.
50 X 0.3 = 15
Answer:
15
Step-by-step explanation:
football and track =50% =25 students
20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer
An arena charged $119.49 for 4 tickets. This price included a $9.49 service fee What was the cost of one ticket?
Enter your answer in the box.
$
Answer: $27.50
Step-by-step explanation: So first off you would subtract the service fee from the total amount to get $110.00 then you would divide that by four to get $27.50 per ticket.
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
This box can be packed with 48 unit cubes. The edge length of each
unit cube is 1 meter. What is the volume of the box?
11 cubic meters
11 meters
48 meters
48 cubic meters
134 Complete
Answer:
Volume of the box = 48 cubic meter
Step-by-step explanation:
Given:
Total number of cubes used = 48 cubes
Length of each cube = 1 meter
Find:
Volume of the box
Computation:
Volume of each cube = Side³
Volume of each cube = 1³
Volume of each cube = 1 cubic meter
Volume of the box = 48[Volume of each cube]
Volume of the box = 48[1 cubic meter]
Volume of the box = 48[1]
Volume of the box = 48 cubic meter
The height of the equilateral triangle below is 15 units. What is the value of x?
An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot
Answer: b
Step-by-step explanation: on edge
Answer: C. 30 StartRoot 3 EndRoot
Step-by-step explanation:
Took the test/exam
Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know
Answer:
Grapes are less expensive
Step-by-step explanation:
First, find how much money 1 pound of each fruit is:
Bananas: $1.47 / 3 = $0.49
Grapes: $1.18 / 2 = $0.59
Compare:
0.49 < 0.59
So grapes are less expensive
Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.
At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.
a-1. Select the null and the alternative hypotheses.
H0: p ≥ 0.70; HA: p < 0.70
H0: p = 0.70; HA: p ≠ 0.70
H0: p ≤ 0.70; HA: p > 0.70
a-2. Calculate the sample proportion. (Round your answer to 3 decimal places.)
Sample proportion
a-3. Calculate the value of test statistic. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
a-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
a-5. What is the conclusion?
Older workers in Asia feel less fulfilled
Older workers in Asia do not feel less fulfilled
At a 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.
b-1. Select the null and the alternative hypotheses.
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≥ 0.50; HA: p < 0.50
H0: p ≤ 0.50; HA: p > 0.50
b-2. Calculate the sample proportion. (Round your answer to 2 decimal places.)
Sample proportion
b-3. Calculate the value of test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
b-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
b-5. What is the conclusion?
Younger workers in Asia feel more fulfilled
Younger workers in Asia do not feel more fulfilled
Answer:
H0: p ≥ 0.70; HA: p < 0.70
Sample proportion = 0.625
Test statistic = -1.79
Pvalue = 0.0367
Older workers in Asia feel less fulfilled
B.)
H0: p ≤ 0.50; HA: p > 0.50
0.58
2.35
0.0094
younger workers in Asia feel more fulfilled
Step-by-step explanation:
1.)
H0: p ≥ 0.70;
HA: p < 0.70
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
Phat = x / n = 75/120 = 0.625
1 - p = 1 - 0.7 = 0.3
(0.625-0.70) / sqrt(0.7*0.3/120)
-0.075 / 0.0418330
= - 1.79
Pvalue FROM Zscore calculator :
Pvalue = 0.0367
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude older workers in Asia feel less fulfilled than their British counterparts.
B.)
H0: p ≤ 0.50; HA: p > 0.50
Sample proportion, phat = 58% = 0.58
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
(0.58 - 0.50) / sqrt(0.58*0.42)/210)
0.08 / 0.0340587
Test statistic = 2.35
Pvalue FROM Zscore calculator :
Pvalue = 0.0094
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude younger workers in Asia feel more fulfilled than their British counterparts
ARE the square root of the positive integer irrational? if not given an example of the square root of a number that is a rational number
9514 1404 393
Answer:
no; √4 = 2
Step-by-step explanation:
If an integer is the square of another integer, its square root is rational. For example, 9 = 3², so √9 = 3, a rational number.
The square root of an integer is irrational if and only if the integer is not a perfect square.
A jogger is going around a circular track with a radius of 100 ft. Determine the
ANGULAR speed of the jogger given that they run a lap every 3 minutes, to the nearest tenth. (recall:theta must be in radians)
Answer:
ω= 0.01 rad/s
Step-by-step explanation:
The given data is question is ,
r = 100ft .t = 3 min = 180s.Firstly let's find the linear speed. Which is
=> v = Circumference/time
=> v = 2πr/180s
=> v = 3.14 × 100ft ./ 90
=> v = 3.48 ft/s ≈ 1m/s
Now the angular speed and linear speed are related as follows ,=> v = r[tex]\omega[/tex]
=> [tex]\omega[/tex] = v/r
=> [tex]\omega[/tex] = 1/100
=> [tex]\omega[/tex] = 0.01 rad/s
Hence the angular speed is 0.01 rad/s.The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180. The distribution of unrestrained compressive strength may be somewhat skewed. We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200. Test using α = 0.01.
Answer:
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
Step-by-step explanation:
We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.
At the null hypothesis, we test if the mean is at the design value of 3200, so:
[tex]H_0: \mu = 3200[/tex]
At the alternate hypothesis, we test if it is less than the design value of 3200, so:
[tex]H_a: \mu < 3200[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
3200 is tested at the null hypothesis:
This means that [tex]\mu = 3200[/tex]
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.
This means that [tex]n = 50, X = 3120, s = 180[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]
[tex]t = -3.14[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.
With the help of a calculator, the p-value of the test is 0.0014
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
In the diagram above z1 =2x+20 and z2 =3x+10. Find the measure of z1.
Answer:
40
Step-by-step explanation:
Angle 1 and 2 are alternate angles
Then they are equal
2x+20=3x+10
Solve for x
X=10
Then 2 (10)+20 =40
Plz help me well mark brainliest if correct!....
Answer:
the answer to the question is A
A package of colored paper contains 20 pieces of yellow paper. This represents 25% of the total pieces of colored paper in the package. 6.RP.3c Part A. Write 25% as a rate per 100 in simplest form. How many total pieces of colored paper are in the package?
Answer:
There were 80 pieces of colored paper in the package.
Step-by-step explanation:
Given that a package of colored paper contains 20 pieces of yellow paper, and this represents 25% of the total pieces of colored paper in the package, to determine how many total pieces of colored paper are in the package, the following calculation must be performed:
25 = 20
100 = X
100 x 20/25 = X
2,000 / 25 = X
80 = X
Therefore, there were 80 pieces of colored paper in the package.
O2) Work out 30% of £5.80.
Answer:
1.74
Step-by-step explanation:
Multiply 5.80 times .30
Answer:
1.74
Step-by-step explanation:
To solve this, lets multiply the value by the percentage.
Our value is 5.8
And our percentage is 30%.
Lets convert this into a decimal, to do this, divide 30 by 100:
30/100
=
0.3
Now that we have the percentage in decimal form, multiply it by the 5.8:
5.8*0.3
=
1.74
This is your answer!
Hope this helps! :)
you have the following coins in your pocket five quarters six dimes two nickels and 12 pennies what is the probability as a decimal you would draw a dime.
Answer: The probability of you drawing a dime is 0.24
Step-by-step explanation:
5 quarters, 6 dimes, 2 nickels, 12 pennies
5+6+2+12= 25
6/25= 0.24 or 24%
Answer:
0.24
Step-by-step explanation:
P(dime) = 6/25 which is 0.24
Due soon pls help - who ever answers get brainiest !
Answer:
D if it helps
Step-by-step explanation:
what decimal is greater than 1.434.
a. 1.443
b. 1.034
c. 1.340
d. 1.433
Answer:
the correct answer is A
Step-by-step explanation:
1.443-1.434
= 0.009
What is the constant of proportionality for the table below?
Answer:
Equation:y = 1/2x . or x = 2y
Constant = 2
Step-by-step explanation:
Input y = output x
the first input/output says that when inputed 2, the number 1 is outputted.
Similarly, when 5 is inputted, 2.5 is the output.
1/2 = 2.5/5
That means that y = 1/2 x
or x = 2y
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Factor 4x2 - 1.
A) (2x + 1)(2x - 1)
B) (2x - 1)(2x - 1)
C) (4x - 1)(x + 1)
D) (4x + 1)(x + 1)
Answer: A) (2x+1)(2x−1)
How to: Since both terms are perfect squares, factor using the difference of squares formula,
Have a great day and stay safe !
Solve the following equation for x 2log: 2x = 2 Describe what method you used to solve the problem and why?
Answer:
look at the picture i sent