Answer:
The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744
Solution:
Total number of coils = number of good coils + defective coils = 88 + 12 = 100
p(getting two good coils for two selection) = p( getting 2 good coils for first selection ) [tex]\times[/tex] p(getting 2 good coils for second selection)
p(first selection) = p(second selection) = [tex]\frac{\text { number of good coils }}{\text { total number of coils }}[/tex]
Hence, p(getting 2 good coil for two selection) = [tex]\frac{88}{100} \times \frac{88}{100} =\bold{0.7744}[/tex]
Probability of selecting two good coils with replacement: [tex]\(0.88 \times 0.88 = 0.7744\)[/tex]. Correct answer is D) 0.7744.
To solve this problem, we need to calculate the probability of selecting two good coils when the first selection is replaced before the second is made. This means the selections are independent.
Here are the steps:
1. Calculate the total number of coils:
12 defective +88 good $=100$ total
2. Determine the probability of selecting a good coil on the first draw:
[tex]\[ P(\text{good on first draw}) = \frac{88}{100} = 0.88 \][/tex]
3. Since the first coil is replaced, the probability of selecting a good coil on the second draw is the same:
[tex]\[ P(\text{good on second draw}) = \frac{88}{100} = 0.88 \][/tex]
4. Calculate the probability of both events (selecting two good coils):
[tex]\[ P(\text{two good coils}) = P(\text{good on first draw}) \times P(\text{good on second draw}) \][/tex]
[tex]\[ P(\text{two good coils}) = 0.88 \times 0.88 = 0.7744 \][/tex]
Therefore, the probability of getting two good coils when two coils are randomly selected with replacement is:
[tex]\[\boxed{0.7744}\][/tex]
So the correct answer is:
D) 0.7744
The correct question is:
A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
A) 0.176
B) 0.0144
C) 0.7733
D) 0.7744
A football team lost 5 yards on each of 3 plays. Explain how you could use a number line to find the team's change in field position after the 3 days.
To determine the football team's change in field position using a number line, one would sequentially move 5 units left for each loss of 5 yards over 3 plays, resulting in a total change of -15 yards.
To find the football team's change in field position after the 3 plays, you can use a number line to represent the yards on the field.
If we consider the team's starting point as zero on the number line, each loss of 5 yards will be represented as moving 5 units to the left (into the negative side) from that starting point. Here's how you would calculate it step by step:
Mark the starting point at zero on the number line.
Since the team lost 5 yards on the first play, move 5 units to the left and mark that new point, which represents -5 yards.
Repeat the process for the second play, moving another 5 units to the left from the -5 mark to reach -10 yards.
Finally, for the third play, move yet another 5 units to the left to end up at -15 yards.
Therefore, after 3 plays with each losing 5 yards, the team's field position has changed by -15 yards.
Agnes wants to buy a gallon of iced tea. If a 1-gallon jug costs $3.05 and a
pint costs $0.45, how much money would Agnes save by buying the 1-gallon
jug instead of multiple pints?
O A. $2.60
O B. $1.25
O c. $0.55
O D. $0.35
o o
Answer:
c
Step-by-step explanation:
8 pints in a gal
.45 x 8 = 3.60
3.60 - 3.05 = . 55
Answer:
C.$0.55
Step-by-step explanation:
Joy is thinking of a number. She says, "My number is 74 more than 2 thousands, 6 hundreds, 8 tens, and 4 ones." What is Joy's number?
Answer:
2,785
Step-by-step explanation:
You need to add 2,684+74 and will equal 2,785... Yor welcome
The required number of the joy is 2758.
Given that,
Joy is thinking of a number.
She says, "My number is 74 more than 2 thousand, 6 hundred, 8 tens, and 4 ones."
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number be x,
The number is 74 more than 2 thousand, 6 hundred, 8 tens, and 4 ones
x = 74 + 2684
x = 2758
Thus, the required number of joy is 2758.
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What was the biggest decrease in time from the 1st leg to the 2nd leg??
Answer:
The first one. 55.3 and 40. 38
Step-by-step explanation:
Subtract all of the second legs from the first legs that they go with and find the biggest number. When this is done, the first one has the biggest number.
Answer:
The biggest decrease in time is 14.92 seconds.
Step-by-step explanation:
Consider the provided table.
Consider the row 1.
The biggest decrease in time from the 1st leg to the 2nd leg is:
55.3 seconds - 40.38 seconds = 14.92 seconds
Hence, the decrease in time is 14.92 seconds
Consider the row 2.
The biggest decrease in time from the 1st leg to the 2nd leg is:
55.29 seconds - 40.402 seconds = 14.888 seconds
Hence, the decrease in time is 14.888 seconds
Consider the row 3.
The biggest decrease in time from the 1st leg to the 2nd leg is:
55.295 seconds - 40.4 seconds = 14.895 seconds
Hence, the decrease in time is 14.895 seconds
Consider the row 4.
The biggest decrease in time from the 1st leg to the 2nd leg is:
55.037 seconds - 41.2 seconds = 13.837 seconds
Hence, the decrease in time is 13.837 seconds
From the above calculation it is clear that the biggest decrease in time is 14.92 seconds.
Identify the multiplication property used in the equation 7x2=2x7
The multiplication property used in the equation 7x2=2x7 is the Commutative Property of Multiplication, stating that the order of numbers doesn't affect the product.
Explanation:The multiplication property used in the equation 7x2=2x7 is known as the Commutative Property of Multiplication. This property states that the order in which you multiply numbers does not change the product. For example, in your equation 7x2=2x7, the position of the numbers 7 and 2 have been switched, but the product remains the same (14).
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In one season,Kim ran 18 races. This was four fewer races than twice the number of races Kelly ran. How many races did kelly run?
Answer:
11 races
Step-by-step explanation:
The reason being that 18 is 4 less than twice the number Kelly ran. 18+4=2x when x equals the races Kelly ran. so, 18+4=22 so 22=2x. if you divide each side by 2, you get 11=x. so, kelly ran 11 races
Answer:
44
Step-by-step explanation:
18+4=22 time 2 =44
A recipe calls for 1/2 cup sugar, 2/3 cup flour, and 2 1/4 cups of oatmeal. What is the combined measurement of these ingredients?
Answer:3 5/12
Step-by-step explanation:
So we have here 1/2, 2/3 and 2 1/4. So let's ignore the 2 from 2 1/4. so we add them all up (1/2 + 2/3 + 1/4) but before we add them up we have to find the common denominator. So the common denominator for 2, 3 and 4 is 12. so the question will be 6/12 + 8/12 + 3/12. Add this up and it will be 17/12 = 1 5/12. Now let's get that 2 back here and add 2 to 1 5/12 (2 + 1 5/12) = 3 5/12
What’s The Answer?
I don’t seem to understand... can you guys help ??
Answer:
-7y
Step-by-step explanation:
It's just -7y because you have to put like terms together, so 3x+(-3x) = 0
Help me please I will give poits if help
Answer:
Step-by-step explanation:
y= -5(10) + 30
y = -50 + 30
y = -20
x= 10
(10,-20)
this is the solution
Hey!
----------------------------------
Answer:
(10, -20)
----------------------------------
Solution:
y = -5x + 30
(-20) = -5x(10) + 30
-20 = -50 + 30
-20 = -20
The equation is true.
----------------------------------
Hope This Helped! Good Luck!
A poll reported that 66% of adults were satisfied with the job the major airlines were doing. Suppose 20 adults are selected at random and the number who are satisfied is recorded.
The probability that exactly 12 are satisfied with the airlines is
The problem involves calculating a binomial probability for 12 out of 20 adults being satisfied with airlines, given a satisfaction rate of 66%. This uses the formula for Binomial Probability: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)).
Explanation:The question involves using Binomial Probability in statistics. Here, the experiment is repeated 20 times (20 adults are selected), each trial is independent (one adult's answer doesn't affect another's), there are two possible outcomes (satisfied or unsatisfied), and the probability of success (being satisfied) is constant (66%).
To calculate the probability of exactly 12 adults being satisfied, we use the formula for Binomial Probability:
P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k))
Where:
C(n, k) is the number of combinations of n items taken k at a time.p is the probability of success (66% or 0.66 in this case).n is the number of trials (20 adults).k is the number of successes we're interested in (12 adults being satisfied).By subbing in these values, we can calculate the desired outcome.
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Alaina colors 20% of the total shapes on her paper. She colors 10 shapes. Enter the number of shapes on Alaina's paper.
Answer:
50
Step-by-step explan
20% = 10
100% = 10 : 20 * 100
100% = 50
Ratios- 5 calculators cost $120.00 how much for one calculator
Answer:$24 each
Step-by-step explanation:
Answer:
Cost of one calculator = $24
Step-by-step explanation:
Cost of 5 calculator = $120
Cost of one calculator = 120 /5 = $ 24
5/6 x= 15 solve for x
Answer:
X=18
Step-by-step explanation:
Multiply the 6 and the 15= 90
Then left with 5x so then divide 90 and 5= 18
Left with X= 18
The value of x in the given equation is x = 18.
Given is an equation 5x/6 = 15, we need to find the value of x,
To solve for x, you need to isolate x on one side of the equation.
Here's how you can do it step by step:
Start with the equation: 5/6 x = 15
To isolate x, you need to get rid of the fraction on the left side. Since the fraction has a denominator of 6, you can multiply both sides of the equation by 6 to eliminate it:
(6) × (5/6 x) = (6) × 15
The 6 on the left side cancels out the denominator 6, leaving:
5x = 90
Now, to find the value of x, you need to get x by itself on one side. Since 5x means 5 times x, you can undo this by dividing both sides by 5:
5x / 5 = 90 / 5
This simplifies to:
x = 18
So, the value of x is 18.
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in welcome to rise of the knights in which of these words from paragraph 3 has a neutral connotation
a. elaborate
b. engaging
c.multilevel
d.suspenseful
Answer: multilevel.
Multilevel has a neutral meaning in Welcome to Rise of the Knights.
A multilevel building is defined as one that has upwards of one level, such as various diagonal lines or surfaces at varying heights. Del Grosso lectured in what looked to be a traditional lecture hall, complete with long curving multileveled rows of permanent seats.Learn more:https://brainly.com/question/285672?referrer=searchResults
I need help 5(3x-2)>3(4x-1)
Answer:
x > 7/3
Step-by-step explanation:
5(3x - 2) > 3(4x - 1)
First, use the distributive property on both sides.
15x - 10 > 12x - 3
Subtract 12x from both sides.
15x - 12x - 10 > 12x - 12x - 3
3x - 10 > -3
Add 10 to both sides.
3x - 10 + 10 > - 3 + 10
3x > 7
Divide both sides by 3.
3x/3 > 7/3
x > 7/3
Find the length of the missing side of the triangle below.
The answer would be 65.7!
the lowest temperature ever recorder on the moon was about -170 C. the lowest temperature ever recorded in antartica was -89 c.find the difference in these temperatures
Answer:
81 c
Step-by-step explanation:
-170 - (-89)= 81
both of the negatives cancel out eachother and make it a positive
Convert 5.764764764... to a rational expression in the form of a over b where b ≠ 0.
Answer:
[tex]\large\boxed{5.764764764...=\dfrac{5,759}{999}}[/tex]
Step-by-step explanation:
[tex]\text{Let}\\\\x=5.764764764...\qquad\text{multiply both sides by 1,000}\\\\1,000x=5,764.764764764...\qquad\text{make the difference}\ 1,000x-x:\\\\1,000x-x=5,764.764764764...-5.764764764...\qquad\text{cancel}\ (\overline{764})\\\\999x=5,759\qquad\text{divide both sides by 999}\\\\x=\dfrac{5,759}{999}[/tex]
Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home. How many hours has Carlos practiced piano? How much longer does he need to practice before going to bed in order to meet his goal?
Answer:
Carlos has practiced piano for [tex]\frac{29}{20}=1\frac{9}{20}[/tex] hours.
Carlos needs to practice [tex]\frac{11}{20}[/tex] hours.
Step-by-step explanation:
We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
First of all, we will find piano practiced before school and after school by adding both amounts as:
[tex]\frac{3}{4}+\frac{7}{10}[/tex]
Make a common denominator:
[tex]\frac{3*5}{4*5}+\frac{7*2}{10*2}[/tex]
[tex]\frac{15}{20}+\frac{14}{20}[/tex]
Add numerators:
[tex]\frac{15+14}{20}[/tex]
[tex]\frac{29}{20}[/tex]
Therefore, Carlos has practiced piano for [tex]\frac{29}{20}[/tex] hours.
Now, we will subtract [tex]\frac{29}{20}[/tex] from 2 find number of hours Carlos needs to practice to reach his goal.
[tex]2-\frac{29}{20}[/tex]
[tex]\frac{2*20}{20}-\frac{29}{20}[/tex]
[tex]\frac{40}{20}-\frac{29}{20}[/tex]
[tex]\frac{40-29}{20}[/tex]
[tex]\frac{11}{20}[/tex]
Therefore, Carlos needs to practice [tex]\frac{11}{20}[/tex] hours before going to bed in order to meet his goal.
Please answer number 2, I will mark brainliest!!
Answer:
Theres not enouh information to come to a conclusion
Step-by-step explanation:
Answer:
It's a rhombus (I think)
Step-by-step explanation:
It tells you "If a parallelogram has 4 congruent sides, then it is a rhombus."
It's also telling you that "the parallelogram has 4 congruents sides."
That's telling me it is a rhombus.
(I have absolutely no idea what the Law of Detatchment is, but it looks like this is the answer to me.)
Convert 100 meters to centimeters
Answer:
10000 centimeters
Step-by-step explanation:
we know,
1 meter = 100 centimeters
∴ 100 meters = (100 x 100) centimeters
=10000 centimeters
Keisha swims 18 ft from one side of her circular pool to the other, swimming straight through the center. She then swims one time around the entire edge of her swimming pool.
Enter your answers in the boxes.
How many feet did she swim in terms of π ?
ft
How many feet did she swim using 3.14 for π ? Round your final answer to the nearest tenth.
ft
Answer:
324pie +18ft
1,035.36ft
Answer: 74.5 ft
Step-by-step explanation:
Line 1 : y = 2/3x +3
Line 2 : y = 2/3x - 8
What is the equation o
f a line with a slope of –2 that passes through the point (6, 8)?
Answer:
y - 8 = -2(x - 6)
y - 8 = -2x + 12
y = -2x + 20
-5+(5+3) in comuntative property
Answer:
3+(5+-5)
Step-by-step explanation:
in the communtive property you simply just move the numbers, in associative you move the parenthesis, and in distributive you break up the numbers
Micheal cycles a distance of 12 5/6 miles in 2/3 hours. what is his cycling unit rate in miles per hour ?
Jorge said that 0.029 can be written as 29/100. Is he correct ??
Jorge's statement is partially correct. 0.029 can be written as a fraction but it is 29/1000, not 29/100 since it has three decimal places.
Explanation:Jorge's statement that 0.029 can be written as 29/1000 is indeed correct. When you convert a decimal to a fraction, we count the number of decimal places, which determines the denominator of the fraction. In the case of 0.029, it has three decimal places, therefore, the denominator would be 1000 (the first place represents tenths, the second represents hundredths and third represents thousandths). Hence 0.029 as a fraction is written as 29/1000, not 29/100.
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Find the product: 8(− 2 7 )(− 1 2 )
A) − 4 7
B) 4 17
C) 7 4
D) 8 7
Answer:2592
Step-by-step explanation:
Answer:
D) 8/7
Step-by-step explanation
Bill has 5 apples and 5 bananas. He can only put 5 pieces of fruit in a bowl. How can Bill make a table to show the different ways he can put fruit in the bowl?
What will be the same in each row of the table?
Answer:
Step-by-step explanation:
5 apples
5 bananas
2 bananas , 3 apples
2 apples and ,3 bananas
4 bananas and 1 apple
4 apples and 1 bananas
the sum of the amount of fruit in the bowl will remain constant
Number of Apple Bill has =5 apple
Number of Banana Bill has =5 Banana
Number of fruits that , Bill can keep in his bowl =5 Pieces of fruit , which will be combination of both Apple and Banana or either 5 Banana or 5 Apple.
Different ways by which the two different type of fruit that bill can put in the bowl, if maximum number of fruit in the bowl =5
Banana Apple Total
1 4 5
2 3 5
3 2 5
4 1 5
5 0 5
4 1 5
3 2 5
2 3 5
1 4 5
0 5 5
In the table , there will be , (total number of fruits=5), which will be same in each row.
write a phrase to represent each algebraic expression
2x-9
2(x-9)
Answer:
See below.
Step-by-step explanation:
2x - 9: Nine less than 2 times a number.
2(x - 9) Two times some number less than nine.