i. P(A) = 0. 4
ii. P(AB) = 0. 9
iii. P(A∩B) =0. 25
How to determine the probability
From the information given,
Universal set = 40% + 50% + 25% = 0.40 + 0. 50 + 0. 25
A = Mechanical defects = 40%
B = Electrical defects = 50%
A∩B =25%
i. Probability of A , P(A)
= [tex]\frac{40}{100}[/tex]
= [tex]0. 4[/tex]
ii. Probability of B, P(AB)
= [tex]\frac{40}{100} + \frac{50}{100}[/tex]
= [tex]0. 4 + 0. 5[/tex]
= [tex]0. 9[/tex]
iii. Probability of A∩B entails the common factor between A and B
P(A∩B) = [tex]\frac{25}{100}[/tex] = [tex]0. 25[/tex]
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if root x+9=root 784, the value of x
Answer:
on squaring complete term
x + 81 = 784
x = 784 - 81
x = 703
Step-by-step explanation:
A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows.
Find the value of the F-test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary.
Car A Car B Car C Car D
Driver 1 23 39 22 25
Driver 2 37 39 28 39
Driver 3 39 40 21 25
Driver 4 34 36 27 33
Driver 5 27 35 26 37
Required:
Make the decision to reject or fail to reject the null hypothesis that there is no difference in the average gas mileages of the four car models. State the conclusion in terms of the original problem. Use alpha = 0.01.
a. We reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
b. We fail to reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
c. We fail to reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
d. We reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
Answer:
We reject the null hypothesis at the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models ( A )
Step-by-step explanation:
Using the Given data we will apply the two way ANOVA without
source of variation SS df MS F
Block 148.80 4 37.20 1.68
Treatment 424.40 3 141.47 6.39
Error 265.60 12 22.13
Total 838.80 19
From the Two way ANOVA table the F-statistic = 6.39
Help meeee pleaseeeeeeee I need to pass my homework
First, you replace c and d. You would end up with[tex]\frac{1}{4}[/tex] (6) + 3(7).
Then, you evaulate it. You end up with [tex]1\frac{1}{2}[/tex] + 21.
Lastly, you add them together. The final answer is [tex]22\frac{1}{2}[/tex].
Hi there!
Simplifly c and d:
c=6, d=7
Multiply terms by terms:
[tex]\frac{1}{4}[/tex]·[tex]6=1\frac{2}{4}[/tex]
[tex]3[/tex]·[tex]7=21[/tex]
Add all terms together:
[tex]1\frac{2}{4}+21=22\frac{2}{4}[/tex]
Simplifly terms:
[tex]22\frac{2}{4}=22\frac{1}{2}[/tex]
Final Result: [tex]22\frac{1}{2}[/tex]
Find the value of x.
m2 = x + 85
2
73°
Answer:
-12
Step-by-step explanation:
in an iscocles, the base angles equal eachother so,
73=x+85
x=-12
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(5, 38) (6, 39)
(39 - 38)/(6 - 5) = 1/1= 1
y - 38 = x - 5
y = x + 33
Faucet A can fill up a water cooler in 8 minutes. Faucet B can fill the same water cooler in 12 minutes. How long will it take both faucets together to fill the water cooler?
!!!!!Explanation Needed!!!!!
Answer:
A cold water tap takes 3 minutes to fill the bath. A hot water tap takes 2 minutes to fill the bath. How long does it take to fill the bath when both taps are open at the same time?
It is easiest just to let the bath be a given size.
My little bath will be 12 litres
cold water 4L/min hot water = 6L/min
together 10L/1 min
10*(12/10) L per 1*(12/10) minutes
12L per 1.2min
12L per 1min and 12sec
It will take 1 minute and 12 seconds to fill the bath.
Step-by-step explanation:
Answer:
It will take 5 minutes for both faucets together to fill the water cooler
Step-by-step explanation:
I'm kinda just guessing but I do have a reasonable explanation
So the average time it takes for the faucets INDIVIDUALLY to fill the water cooler is 10 minutes
But since both faucets are filling them TOGETHER, it should take half the time
And half of 10 is 5
So it should take 5 minutes for both faucets together to fill the water cooler
If that makes sense
Help needed with this as soon as possible
Answer:
3
Step-by-step explanation:
it passes the vertical line test
hope this helps have a good day!
The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters
Answer: 1= A/w
Step-by-step explanation:
If it takes 1/2 hour to walk 2/7 of a field, how long will it take to walk the whole field
Answer:
1 hr 45 min
Step-by-step explanation:
so to get one from 2/7 me multiply by 7/2
so if we also multiply the time by 7/2
we get 1/2*7/2=7/4 hour
1 and 3/4 hour or
1 hr 45 min
Answer:
1hour 45 minutes
Step-by-step explanation:
2\7= 30min
7\7=7\7×30÷2\7=7\7×30×7\2=105mins
1h=60min
=105min
105÷60=1 1\4 hour
he mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 16001600 voters in the town and found that 344% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 311%. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
2.60
Step-by-step explanation:
Given that:
n = 1600
[tex]\hat p = 0.34[/tex]
[tex]P_o = 0.31[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}[/tex]
[tex]Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}[/tex]
[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}[/tex]
[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}[/tex]
[tex]Z = 2.60[/tex]
PLEASE PLEASE HELP 30 POINTS AND WILL GIVE BRAINIEST
what is the measure of angle ABC
what is the measure of angle CBE
what is the measure of angle DBE
what is the measure of angle ABD
Answer:
Please read down below, thanks
Step-by-step explanation:
Vertical angles are always equal.
Because the two expression we have are equal, we can make the equation:
4x + 2 = 5x - 13
Let's move x to one side and the constants to the other side.
Subtract both sides by 4x and add both sides by 13
15 = x
Now we know x = 15, we can solve for the angles.
∠ABC is 4x + 2 so: 4(15) + 2 = 47 degrees
∠CBE added up with ∠ABC is 180 degrees so: 180 - 47 = 133 degrees
∠DBE is the same as ∠ABC so: 47 degrees
∠ABD is also the same as ∠CBE so: 133 degrees
what's the correct answer please
A mite measures 0.00091 of a meter long. Which of the following correctly represents this in Scientific Notation?
9.1x10^4
9.1x10^-4
9.1x10^3
9.1x10^-3
Answer:
9.1x- 10000
9.1 x 10^-4
Step-by-step explanation:
b
In ΔPQR, the measure of ∠R=90°, RQ = 55, PR = 48, and QP = 73. What ratio represents the sine of ∠Q?
Answer:
48/73
Step-by-step explanation:
SOMEONE PLS HELP ME
Answer:
4
Step-by-step explanation:
hope this helps
Answer:
The slope is 2
Step-by-step explanation:
its 6/3 and if you simplify that its 2
Solve the answer for n
4/5 = n/3
Answer:
2.4
Step-by-step explanation:
4/5 = n/3
Cross multiple
4*3 = n *5
12= 5n
12/5 = 5n/5
n= 2.4
A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $168.00? Complete the explanation.
The cost per pound of the apples on sale is $__.
You can buy ___
pounds of apples for $168.00.
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ___
apples for $168.00.
Answer:
34
Step-by-step explanation:
168÷5=8
Divided The Cost By The Pounds
C. Find the value of x below:
15.r + 5
-2 + 16.
Answer:
7
Step-by-step explanation:
(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.
Measures of corresponding angles are equal.
Therefore,
- 2 + 16x = 15x + 5
16x - 15x = 5 + 2
x = 7
Ismail has 44 sweets more than Johan. If the number of sweets Johan has is of the
7/11 of the number of sweets Ismail has, how many sweets do they have altogether?
Answer:
121
Step-by-step explanation:
Find out the amount of units Ismail have more than Johan.
11 - 7 = 4 units
Since Ismail has 44 more sweets than Johan and 4 more units..
4 units = 44
1 units = 44 ÷ 4 = 11
Altogether, there's 11 units.
11 units = 11 x 11 = 121
A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?
Answer:
a.b=12 ise öncelikle çarpılarak 12 eden sayıları bulmalıyız;
4.3=12
6.2=12
12.1=12
şimdi toplamları en fazla ve en az olan çarpımları bulmalıyız toplamları en fazla olan çarpım;
12.1 den 12+1=13 tür
toplamları en az olan çarpım ise;
4.3 den 4+3=7 dir
Marco is building with bricks. He needs 560 bricks total to build a wall, but only has 445. The price per 5 bricks is $25. How much money does Marco need for a total of 115 bricks?
Answer:
575$
Step-by-step explanation:
If each 5 bricks is 25$ and Marco already has 445 all he needs is 115 more bricks and 115 divided by 5 is 23 so 23 groups of 5 bricks and 23*25 is 575$
I hope this was helpful!!
What is 3/4. Of 44 in the amazing mathematics
Answer:
3/4 of 44 is 33
Step-by-step explanation:
33
Answer:
33
Step-by-step explanation:
solve the equation 8 + b = 26 and b=
The population of a school will increase by 3% per year. In 2005, the population was 127 students. Use a graph to find when the population will be
Enter the correct year in the box.
Using an exponential function, it is found that the population will be of 350 students in the year of 2039, 34.3 years after 2005.
What is an exponential function?An increasing exponential function is modeled according to the rule presented as follows:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which the parameters of the equation is defined as follows:
A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.In the context of this problem, the values of the parameters are given as follows:
A(0) = 127, which is the number of students in the reference year of 2005.r = 0.03, which is the yearly increase rate.Hence the equation for the number of students in t years after 2005 is given as follows:
[tex]A(t) = 127(1.03)^t[/tex]
The number will be of 350 students when A(t) = 350, hence:
[tex]A(t) = 127(1.03)^t[/tex]
[tex]350 = 127(1.03)^t[/tex]
[tex](1.03)^t = \frac{350}{127}[/tex]
[tex]\log{(1.03)^t} = \log{\left(\frac{350}{127}\right)}[/tex]
[tex]t\log{1.03} = \log{\left(\frac{350}{127}\right)}[/tex]
[tex]t = \frac{\log{\left(\frac{350}{127}\right)}}{\log{1.03}}[/tex]
t = 34.3 years.
34.3 years = during the year of 2005 + 34.3 = 2039. This result is shown by the graph at the end of the answer.
Missing InformationThe problem asks for when the population will be of 350 students.
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Given that sin(t) = 0.8 and cos(t) < 0, find the values of the other 5 trigonometric functions.
Answer:
dhsuaehcusjr ushebdhzsjr
Berapakah volume bangun di atas?
Pake cara yya !
Answer:
Volume of the figure = 64 cm³
Step-by-step explanation:
Volume of the given figure = Volume of complete cuboid - volume of the cuboid having one face as ABCD
Volume of complete cuboid = Length × Width × Height
= 10 × 2 × 6
= 120 cm³
Volume of the part having one face as ABCD = AB × BF × BC
= 7 × 2 × (6 - 2)
= 56 cm³
Volume of the given figure in the picture = 120 - 56
= 64 cm³
Therefore, volume of the figure = 64 cm³
What is -8x-9-5+9 plz help
Answer:
-8x - 5
Step-by-step explanation:
-8x - 9 - 5 + 9 = -8x - 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Solve the parallelogram for x MARKINF people as brainlist
Answer:
in the question there must be the area of the parallelogram given...
Which set of ordered pairs represents a linear relationship?
A {(0, 1), (2, 2), (-2, 0), (4,3)}
B. {(0, -2), (1, 1), (-1,-3), (2, 3)}
C. {(0, -1), (1, 1), (-1,-2), (2,3)}
D. {(0, -2.5), (5, 2.5), (1, -2.5), (-1, -3.5)}
Answer:
A
Step-by-step explanation:
!! IMPORTANT !! WILL GIVE BRAINLIEST !!
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 10-in squares from each corner. The length of the original piece of cardboard is 20 inches more than the width. If the volume of the box is 1250 in^3, determine the dimensions of the original piece of cardboard.
(figure of the problem is shown in attached picture)
The dimensions of the original piece of cardboard are _ inches by _ inches.
!! PLEASE HELP !! THANKS !!
Answer:
25 in by 45 in.
Step-by-step explanation:
The length of the box will be x + 20 - 10 - 10 = x
The width of the box will be x - 10 - 10 = x - 20
The height of the box will be 10
So the volume = length x width x height
= x(x - 20)10 = 1250
= [tex]10x^{2} - 200x = 1250[/tex]
[tex]10x^{2} -200x - 1250 = 0[/tex]
[tex]10(x^{2} -20x - 125)\\[/tex] = 0
10(x + 5)(x - 25) =0
x = -5 x = 25
- 5 must be discarded since a length cannot be negative.
Therefore x = 25 in = width of piece of cardboard
x + 20 = 25 + 20 = 45 in = length of piece of cardboard
I need help with this question
Answer:
j-10=35
j is 45
Step-by-step explanation:
35+10=45