Answer:
The standard deviation for the number of defects per batch is 0.87.
Step-by-step explanation:
Let X denote the number of defective batteries per batch.
A company manufactures batteries in batches of n = 26.
It is provided that the rate of defects is, p = 0.03.
Each battery is defective independently of the others.
The random variable X follows a binomial distribution.
The standard deviation of a binomial distribution is:
[tex]\sigma=\sqrt{np(1-p)}[/tex]
Compute the standard deviation for the number of defects per batch as follows:
[tex]\sigma=\sqrt{np(1-p)}[/tex]
[tex]=\sqrt{26\times 0.03\times (1-0.03)}\\\\=0.86982757\\\\\approx 0.87[/tex]
Thus, the standard deviation for the number of defects per batch is 0.87.
Point M lies on the line segment connecting L(-4, 2) and N (2,-4). If M partitions the segment in the ratio 1:2, what are the coordinates of M?
A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If A is a subset of S, A could be {7, 8, 9}. If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}. If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.
Answer: A, B, and E
Step-by-step explanation:
The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A is a subset of S
How to determine the true statements?The sample space is given as:
S = {1, 2, 3, 4, 5, 6, 7, 8}
The possible subsets of S are as follows:
Even numbers = {2,4,6,8}Odd numbers = {1,3,5,7}Any number or group from 1 to 8, inclusiveUsing the above highlights, the possible set of A are:
A could be {1, 2, 3}. A = {1, 2, 3, 4}.Hence, the true statements are (A) and (B)
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Explain how multiplying fractions and dividing fractions are alike and how they are different.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Step-by-step explanation:
Example:
[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]
The price of a television was reduced from $250 to $200. What was the percent decrease in price? HELPP? ILL GIVE YOU A BRAINLLEST?!!
Answer:
20%
I hope this is good enough:
Find the distance between the points (-3, -6) and (1, -2).
Answer: -3 - 1 = -4
Your Answer I think is -4 Hope This helps If I'm Wrong I apoligize.
If Thomas travels 120 miles in 2 hours how many will it take him to travel 300 miles
Answer:
5hours
Step-by-step explanation:
120÷2=60
60=1 hour
300÷60=5
5hours
Evaluate the expression 8-3×2+5
Answer:
7
Step-by-step explanation:
First do 3x2 to get 6, and then do 8-6, which is 2, and add that to 5 to get 7
HELP
Solve y – 18 = –3.
Answer:
y = 15
Add 18 to both sides to cancel out the negative next to the y
Answer:
y=15
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-18-(-3)=0
y-15 = 0
Add 15 to both sides of the equation :
y = 15
Multiply two and four-fifths negative five and two-thirds
John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year
Answer:
John attempted 500 passes.
Step-by-step explanation:
350 / x = 70%
350 = 0.7x
x = 500
The equation F= 9/5C +32 relates temperature measured in degrees Celsius. C, to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F.
Given:
The equation is
[tex]F=\dfrac{9}{5}C+32[/tex]
To find:
Whether there is a proportional relationship between C and F.
Solution:
If there is a proportional relationship between C and F, then the line of given equation passes through (0,0) and the equation must be true for (0,0).
Put F=0 and C=0 in the given equation.
[tex]0=\dfrac{9}{5}(0)+32[/tex]
[tex]0=0+32[/tex]
[tex]0=32[/tex]
This statement is not true because [tex]0\neq 32[/tex].
It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.
Hence, there is not a proportional relationship between C and F.
Answer:
korrect
Step-by-step explanation:
it looks right
Evaluate the function for x = 2,3,4
F(x) =2x-7-3
Answer:
below in bold
Step-by-step explanation:
f(x) = 2x - 7 - 3
~Combine like terms
f(x) = 2x - 10
When x = 2...
f(x) = 2(2) - 10
f(x) = 4 - 10
f(x) = -6
When x = 3...
f(x) = 2(3) - 10
f(x) = 6 - 10
f(x) = -4
When x = 4...
f(x) = 2(4) - 10
f(x) = 8 - 10
f(x) = -2
Best of Luck!
If 6 x 7 = 26 +0, find the number that belongs in the box.
211
2688 divided by 96 with remainder
Answer: OK, the answer is 28.
Step-by-step explanation: Also there is no remainder for this division problem, you could have the remainder if the numbers are not the same as a multiplication problem, so did you get it?
Bella wants to create a tea-mix. She can buy Asian Treasure tea for $7.50 per ounce and Paradise tea for $5.00 per ounce. If she wants to make 60 ounces of tea-mix at a cost of $6.00 per ounce, how many ounces of Asian Treasure tea and how many ounces of Paradise tea should she buy?
9514 1404 393
Answer:
24 oz Asian Treasure36 oz ParadiseStep-by-step explanation:
The proportion of Asian Treasure is the difference in price of the mix and Paradise tea, divided by the difference in price of Asian Treasure and Paradise tea. So the amount of Asian Treasure is ...
(6.00 -5.00)/(7.50 -5.00)(60 ounces) = 24 ounces . . . Asian Treasure tea
The remaining 60-24 = 36 ounces will be Paradise tea.
__
Using an equation
You can get the same result if you define a variable (a) to the amount in ounces of the higher-priced contributor. Then the lower-priced contributor will be in the amount (60-a) ounces. The total cost of the mix is ...
7.50a +5.00(60 -a) = 60(6.00)
(7.50 -5.00)a +60(5.00) = 60(6.00) . . . rearrange the left side
(7.50 -5.00)a = 60(6.00 - 5.00) . . . . . . subtract 60(5.00)
a = 60(6.00 -5.00)/(7.50 -5.00) . . . . . . divide by the coefficient of 'a'
Note that this last expression is identical to the one we used above to find the quantity of Asian Treasure tea.
A punter kicks a football into the air. The pathway of the football can be represented by the equation h=-16t^2+82t (where t= time in seconds and h= height in feet.) what was the maximum height of the ball and what time was the maximum height reached?
Answer:64
Step-by-step explanation:
Answer:
2fiftguvvbbhb to the following ad listing has ended on the same to ensure everyone I r
4. The value of a copy machine is $8500 when it is purchased. After two years its value is $7475. What is its value after 8 years?
Answer:
3375 is the answer.
Step-by-step explanation: 8500- 1025=7475
so 1025 is every to years so we need to subtract 7475-1025-1025-1025-1025 so each 1025 is 2 yrs.
I hope this works :)
David has 4 bales of hay for his 13 cows. What is an equivalent ratio of cows to bales of hay
Answer:
13 : 4
Step-by-step explanation:
13 : 4
he has 13 cows and he has 4 bales of hay so 13:4
you can't simplfy it so its still 13 : 4
Find the value of this question
Answer:
the expression is equal to 0
Evaluate 2ab if a=5 and, b=8.
Answer:
80
2(5)(8)
you multiply 2 times 5 = 10
10 times 8 is 80
Chloe prepared 28 kilograms of dough after working 7 hours. How much dough did Chloe prepare if she worked for 8 hours? Assume the relationship is directly proportional.
Answer:
Chloe prepared 32 kilograms if she worked for 8 hours.
Step-by-step explanation:
28 ÷ 7 = 4
4 kilograms per hour worked
4 × 8 = 32
Answer:
32 kilograms
Step-by-step explanation:
The proportion of kilograms of dough to the number of hours worked is [tex]\frac{28}{7}[/tex] which equals to 4 kilograms / hour.
You multiply 4 kilograms/hour by the number of hours she worked which is 8 hours so 4 kg/hour (8 hours) = 32 kilograms.
what is the product of 22 and 8
Answer:
22 times 8 is equal to 176
Step-by-step explanation:
Salvador is 15 years older than Elizabeth. In 6 years, the sum of their ages will be 87. How old are they now?
please include and explantation
Answer:
????
Step-by-step explanation:
find the domain of f(x) . give answer in interval notation
Answer:
(0,6]
Step-by-step explanation:
Please help geometry find the solution
Answer:
Directions Unclear:
Step-by-step explanation:
I am now drowning on air.
Answer:
ok
Step-by-step explanation:
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST Paul's Pumpkin Patch advertises four pumpkins for $10.50. Which equation below represents this proportional relationship?
Answer
the 1st equation
Step-by-step explanation:
Write a fraction that is equal to 5
Answer:
5/1
Step-by-step explanation:
How many solutions does the absolute value equation have?
I x - 3 I + 2 = -2
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.
__
Additional comment
Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.
x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution
here x+3y=13
x=13-3y.....1st equation
-3x+2y=27......2nd euation
now putting the value of x from equation 1st in 2nd we will get
-3(13-3y)+2y=27
-49+9y+2y=27
11y=27+49
y=76÷11
y=6.9
now again putting the value of y in equation 1st we get
x=13-3×6.9
x=13-20.7
x=7.7
Which reason justifies statement 2?
A) Vertical angles are congruent
B) Corresponding angles are congruent
C) Alternate interior angles are congruent
D) Alternate exterior angles are congruent
Answer:
Step-by-step explanation:
Is b) corresponding angles are congruent.
The reason that justifies statement two: "Angle Y ≅ Angle 4", is option C "Alternate interior angles are congruent".
What are congruent angles?Angles that are of the same measurement are called congruent.
Suppose that two angles ∠A and ∠B are of the same measure, then
[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of the same measurement, where the small m shows that it's the measurement's the angles they're preceding.
We can see that angle Y and angle 4 are two alternate angles within the two parallel lines cut across by the transversal, therefore, they are called alternate interior angles.
Since Alternate interior angles are always congruent to each other.
Thwithefore, the reason that justifies statement two: "Angle Y ≅ Angle 4", is "Alternate interior angles are congruent".
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