Step-by-step explanation:
of what where is the question
An aircraft seam requires 29 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are defective independently of one another, each with the same probability. (Round your answers to four decimal places.) (a) If 23% of all seams need reworking, what is the probability that a rivet is defective
Answer:
0.9995 = 99.95% probability that a rivet is defective
Step-by-step explanation:
For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which 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.
An aircraft seam requires 29 rivets.
This means that [tex]n = 29[/tex]
23% of all seams need reworking
This means that [tex]p = 0.23[/tex]
What is the probability that a rivet is defective?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995[/tex]
0.9995 = 99.95% probability that a rivet is defective
The following diagram describes the number of museums in beach is visited by the Santos family while on vacation.
C is the correct answer
Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
A rectangular prism with a length of 5, width of 3, and height of 1.
A rectangular prism with a length of 2, width of 2, and height of 6.
A rectangular prism with a length of 5, width of 3, and height of 2.
A rectangular prism with a length of 6, width of 2, and height of 4.
Answer:
B
Step-by-step explanation:
i took the quiz have a nice day :)
Answer:
The correct answer is B
Step-by-step explanation:
2*2=4 2*6=12 2*6=12 4+12+12 = 28 28*2=56
A survey of 500 randomly selected people who commute to Manhattan for work showed that
187 of them used public transportation. An estimated 108,000 people commute to Manhattan
every workday.
1. How many commuters use public transportation?
Answer:
187
Step-by-step explanation:
convert 49% into a equivalent decimal
Answer:
0.49
Step-by-step explanation:
49 / 100 = 0.49
Answer:
49% = 49/100 out of 1, so it is .49.
What is the formula to find the area for a square, trapezoid, triangle,and a parallelogram
Answer:
for square its A=a2
for trapezoid its A=a+b/2h
for triangle A=hbb/2
for parallelogram A=bh
Step-by-step explanation:
Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were s Subscript men Baseline equals 0.98 minutes and s Subscript women Baseline equals 1.02 minutes. (a) Is there sufficient evidence to support the claim that men and women differ in repeatability for this assembly task at the 0.02 level of significance
Answer:
There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task
Step-by-step explanation:
Given
Let subscript 1 represent men and 2 represent women, respectively.
[tex]n_1 = 25[/tex]
[tex]n_2 = 21[/tex]
[tex]s_1 = 0.98[/tex]
[tex]s_2 = 1.02[/tex]
[tex]\alpha = 0.02[/tex]
Required
Determine if here is enough evidence
First, we need to state the hypotheses
[tex]H_o: \sigma_1^2 = \sigma_2^2[/tex]
[tex]H_1: \sigma_1^2 \ne \sigma_2^2[/tex]
Next, calculate the test statistic using:
[tex]F = \frac{s_1^2}{s_2^2}[/tex]
[tex]F = \frac{0.98^2}{1.02^2}[/tex]
[tex]F = 0.923[/tex]
Calculate the rejection region;
But first, calculate the degrees of freedom
[tex]df_1 =n_1 - 1[/tex]
[tex]df_1 =25 - 1[/tex]
[tex]df_1 =24[/tex]
[tex]df_2 = n_2 -1[/tex]
[tex]df_2 = 21 - 1[/tex]
[tex]df_2 = 20[/tex]
Using the F Distribution: table
[tex]c = \frac{\alpha}{2}[/tex]
[tex]c = \frac{0.02}{2}[/tex]
[tex]c = 0.01[/tex]
At 0.01 level (check row 20 and column 24), the critical value is:
[tex]f_{0.01,24,20} = 2.86[/tex] --- the upper bound
At 0.01 level (check row 24 and column 20), the critical value is:
[tex]f_{0.01,20,24} = 2.74[/tex]
Calculate the inverse F distribution.
[tex]f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365[/tex] ---- the lower bound
The rejection region is then represented as:
[tex]0.365 < Test\ Statistic < 2.86[/tex]
If the test statistic falls within this region, then the null hypothesis is rejected
[tex]F = 0.923[/tex] --- Test Statistic
[tex]0.365 < 0.923 < 2.86[/tex]
The above inequality is true; so, the null hypothesis is rejected.
This implies that, there is no sufficient evidence.
To keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.
This system of inequalities models the potential profit from the sales of the shirt style and the profit constraints, where p represents the profit
and x is the shirt price,
p < -15x2 + 6003 + 60
P5,000
Complete the statements about the system's possible solutions.
When the price of the shirt is $15, the company
When the price of the shirt is $25, the company
its profit goals.
its profit goals.
Reset
Next
Answer:
At x = 15 ; price meets profit goal
At x = 25 ; price does not meet profit goal
Step-by-step explanation:
Constraint:
p < -15x2 + 600x + 60
P ≥ 5,000
x = shirt price ;
If x = 15
p ≤ -15(15²) + 600(15) + 60
p ≤ -3375 + 9000 + 60
p ≤ 5685
p ≥ 5000
5685 ≥ 5000 ( condition is met)
2.)
With a shirt price of $25
x = 25
p ≤ -25(25²) + 600(25) + 60
p ≤ -15625 + 15000 + 60
p ≤ - 565
p ≥ 5000
-565 < 5000 ( condition is not met)
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
What is the profit goal?The profit goal is met when the price of a good or service exceeds the costs of its production and sales.
At p < -15(15)^2 + 600 (15) + 60 and p <= -15(25)^2 + 600(25) + 60, the profit goal of $5,000 is met.
Thus, we can conclude that:
a) When the price of the shirt is $15, the company meets its profit goals.
b) When the price of the shirt is $25, the company meets its profit goals.
Learn more about the importance of financial planning in meeting the profits goal at https://brainly.com/question/12890843
#SPJ5
Hey can someone help me measure these angles
Answer:
A is acute and B is obtuse.
Step-by-step explanation:
This is because any angle less then 90 is acute and any angle over 90 degreee is obtuse.
FREE BRAINLIST NEED HELP ASAP
Answer:
C. 904.78 cubic inches
Step-by-step explanation:
The volume of a cylinder = πr²h
=π(6²)(8)
=288π
=904.778684234 in³
A circular pool has a diameter of 24 feet. What is the area of the pool to the nearest tenth
of a square foot?
a) 75.4 square feet
b) 150.8 square feet
c) 452.4 square feet
d) 1,809.6 square feet
Answer:
c) 452.4 square feet
Step-by-step explanation:
HOPE THIS HELPS, MARK AS BRAINLIEST PLEASE NOT THE FILE VIRUS EXPLOITER
3. Kim's farm is 1.292 acres. Jack's
farm is 1,104 acres. Which is the
best estimate of the difference
in size between Kim's farm and
Jack's farm?
A 400 acres
B 200 acres
B
C100 acres
D90 acres
Answer:
d 90
Step-by-step explanation:
hope this helped you
Answer:
B. 200 acres
Step-by-step explanation:
Create an estimate by rounding the size of each of their farms to the nearest hundred.
Kim's farm is approximately 1,300 acres, since 292 is closest to 300.
Jack's farm is approximately 1,100 acres, since 104 is closest to 100.
Using these estimates, find the difference between them:
1,300 - 1,100
= 200
So, the best estimate of the size difference is B. 200 acres
What is the slope of the line that passes through the points (3, 2) and (−1,2)? Write your answer in the simplest form
Answer:
slope = 0
Step-by-step explanation:
To find the slope of a line that passes between a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the points (3,2) and (-1,2) into the formula and simplify:
[tex]m = \frac{(2)-(2)}{(-1)-(3)} \\m = \frac{2-2}{1-3} \\m = \frac{0}{-2} \\m=0[/tex]
So, the slope is 0.
I need help with this noww
Answer:
B) 6/√3
Step-by-step explanation:
It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.
Keisha’s basketball game started at 3:30 and ended at 4:47. How much time elapsed during the game?
Answer:
1 hour and 17 min
Step-by-step explanation:
it takes 30 min to get to 4 the another 30 min to get to 4:30 then 17 min to get to 4:47
Question 2 of 37
Suppose that F(x) =3/x and G(X) 3/x-10Which statement best compares
the graphs of F(x) and G(x)?
Answer:
F(x) = x^3 and G(x) = (4x)^3 − 5
so
G(x) = F(4x) -5
the visual effect is
1) shrink horizontally by 1/4
2) shift down by 5
therefore
the answer is the option
D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
B: 2,5
Step-by-step explanation:
Step One: We must assume this is rotating in a clockwise rotation since it is not -90 and there is no mention of it otherwise.
Step Two: To do this problem, you need to know the 90-degree rotation formula: (b, -a). This means that we make the x-coordinate negative and then switch spots with the x and y coordinates.
Step Three: By following this formula, we would make -2 negative, which makes it positive. Currently, the equation is (5, 2). Now, we need to finish the formula by swapping places: (2,5). That is the answer.
I have four bags of small chocolate
eggs, with each bag containing an equal
number of eggs and weighing 0.36kg
I hide the eggs in the garden
24 children search for the eggs and each
finds 3 eggs. They found all of the eggs
How much does
each egg weigh
in grams?
20 grams
Step-by-step explanation:
24× 3 = 72 eggs then convert kg to grams 0.36 × 1000 = 360 grams × 4 = 1440 grams after that 1440 ÷ 72 = 20 grams
Answer:
total number of eggs = 3×24= 72eggs
number of eggs in each bag = 72/4=18 eggs
Each egg will weigh, 0.36/18
= 0.02kg
= 0.02×1000
=20g
explain how the diagram can help find the area of a circle
Answer:
Step-by-step explanation:
This is a really famous diagram! The circle has been divided into many wedges (think slices of pizza!). The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them. See how the bottom and top edges of the rectangle look bumpy?
The area of the "rectangle" is approximately [tex]\pi r^2[/tex] . The reason is that the height of the rectangle is r , the radius of the circle. And the length of the rectangle is about [tex]\pi r[/tex] -- half the circumference of the circle. It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.
The approximation improves as the number of wedges increases. In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference. In other words, making more wedges makes the rectangle less bumpy!
Solve and graph and plot this on the line
GCF of 48, 36, and 16. (this is all I need thx) :)
Answer:
4
Step-by-step explanation:
16=2^4
48=2^4·3
36=2²·3²
GCF=2^2
=4
hope this helps :)
I CANT FOCUS ON THIS QUESTION CUZ ALL OF MY SEROTONIN IS FOR MY NEW DOG
Answer:
B) 3 5/9
Step-by-step explanation:
Subtracting the mixed numbers gives you 3 5/9. Have fun with your new dog!
PLEASE JUST HELP!!!!!! Anyone!!!!
Answer:
the answer is 8 because 8 is 20% of 40
Find the length of the third side. If necessary, write in simplest radical form.
Answer:
[tex]\boxed {\boxed {\sf 8}}[/tex]
Step-by-step explanation:
This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs of the triangle and c is the hypotenuse.
In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:
[tex]a= 7 \\b= \sqrt{15}[/tex]
Substitute these values into the formula.
[tex](7)^2+(\sqrt{15})^2=c^2[/tex]
Solve the exponents.
(7)²= 7*7=49[tex]49+ (\sqrt{15})^2=c^2[/tex]
(√15)²=√15*√15=15[tex]49+15=c^2[/tex]
Add.
[tex]64=c^2[/tex]
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
[tex]\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c[/tex]
The third side length is 8.
Answer:
8
Step-by-step explanation:
in 2007, there were 12 male social workers in springfield. this is 18 fewer than 1/2 the number of female social workers. how many female social workers were in springfield?
Answer:60 female workers
Step-by-step explanation:12+18=30
30x2=60
The expression 125 + 4n can be used to find the total price for n students to take a field trip to the aquarium. Determine the cost for 55 students to visit the aquarium.
Hurry plz
Answer:
125+ 4(55)
Step-by-step explanation:
345 is the answer
give brainliest if right
Walmart sells a 6oz bottle of laundry
detergent for $4.80. What is the priceper ounce?
A. $0.80
B. $0.08
C. $8
D. $0.88
Answer:
.80
Step-by-step explanation:
What is greater than 0.58 and less than 0.6
Answer:
0.59 im assuming
Step-by-step explanation:
Answer:
0.6=3/5
Step-by-step explanation:
Emani borrowed $2,000 from his bank. The loan will be compounded quarterly for 3.5 years at an 8% interest rate. The full amount to the nearest
whole cent) he will owe to the bank (principal + interest) is:
Note: Use the formula: FV = P(1 + yt.
Answer:$3,661.24.
Step-by-step explanation:
Name the figure below in two different ways.
Answer:
MUV
VUM
Step-by-step explanation:
add the line arrow symbol