The required number of defective batteries is 29 out of 400 batteries tested. Option C. is correct.
The probability that a battery is defective is 1/14. The probability that a battery is defective is 1/14. If 400 batteries are tested, how many are expected to be defective s to be determined?
Probability can be defined as the ratio of favorable outcomes to the total number of events. it can be denoted as,
Probability = number of favorable outcomes / total sample space
The probability that a battery is defective given by,
P(D) = 1/14 = 0.072 or 7.2%
400 batteries are tested while multiplying the defective percentage to the number of batteries it gives the defective number of batteries
Number of defective batteries,
= 400 * 7.2%
= 400 * 7.2/100
=≈ 29
Thus, the required number of defective batteries is 29 out of 400 batteries tested. Option C. is correct.
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A dog allergy test for people a 98% accuracy rate.Only 1% of the population has an allergy to dogs(actually it is much smaller than that!). Use a group of 100,000 people who’ve taken this test and the information provided to complete a table and answer the following question:
If you tested negative,what is the probability you do not have a dog allergy?
(Express your answer as decimals rounded to four decimal places.)
Answer:
It is 0.9990
As is 0.0010 as four decimal places. for those that do have which means the same as a negative probability that you don't but reaffirms the situation so inverse of 0.0010 is needed to be 0.9990. so when added together they can become 100% = 1 whole as a probability that both options equal together 1.
When questions ask it negatively using words like don't, haven't, didn't etc. etc.
This question asks for such probability which is similar to percentage in scale for those that do have an allergy.
If the question asked the probability you do have a non allergy the opposite effect happens and we inverse the answer to 99%
But because it asks negatively that you dont have we keep the establishing number of the actual allergy finding because its the same as if you don't.
1% of 100,000 = 1000
1000/100000 = 1/1000
1/1000 = 0.001
Step-by-step explanation:
Once you find 1/1000 is answer to turn numbers into decimals remember the rule 1 = 100
So if 1 = 100
and we want 1/100
1/100 will equal and simplify into 0.01
Where 1/1000 will equal and simplify into 0.001 as the number 100 is extended another digit so would the decimal.
Using the given model. What value of X would make the equation true?
a. x = -8
b. x = 2
c. x = 3
d. x = 8
Answer:
a. x = -8
Step-by-step explanation:
2x + 3 = x - 5
take away x from both sides
X + 3 = -5
take away 3 from both sides
x = -8
An object is moving in a straight line. It initially travelz at a speed on 9 meters per second, and speeds up at a constant rate of 2 meters per second each second. Under such conditions, the distance (d), in meters, that the object travels is given by the equation 2 d t t=+ 9, where t is in seconds. According to this equation, how long will it take the object to travel 22 meters?
Answer:13 meters per second
Step-by-step explanation:
Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
A. n + q = 30
5n + 25q = 20
B. n + q = 30
n + q = 3.00
C. n + q = 3.0020
0.05n + 0.25q = 3.00
D. n + q = 20
5n + 25q = 300
Answer: D. n + q = 20
5n + 25q = 300
Step-by-step explanation:
Let n represent the number of nickels that you have.
Let q represent the number of quarters that you have.
Suppose you have 20 coins. It means that
n + q = 20
The total value of the coins is $3. The value of a quarter is $0.25 and the value if a nickel is $0.05. Therefore, the equation would be
0.05n + 0.25q = 3
Multiplying both sides of the equation by 100, it becomes
5n + 25q = 300
The correct option is
D. n + q = 20
5n + 25q = 300
Answer:
D
Step-by-step explanation:
Find the volume of the prism.
The volume is
cubic inches.
Answer:
3/10 cubic in.
Step-by-step explanation:
V= w*h*l= 3/5 times 3/4 times 2/3 = ...
3/10 cubic in. simplified
Hope this helps :D
The volume of a cuboid is 3/10 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, length of a cuboid = 2/3 in., Breadth of a cuboid=3/5 in., and height of a cuboid = 3/4 in.
We know that, the volume of a cuboid = Length×Breadth×Height
= 2/3 × 3/5 × 3/4
= 1/5 × 3/2
= 3/10 cubic inches
Therefore, the volume of a cuboid is 3/10 cubic inches.
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Find the distance between the points (11, 15) and (11, 6).
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
The distance between the pounts 11 and 15 is: 15-11=4 and the distance between 11 and 6 is: 11-6=5
I hope it'll help you much
Thank you for asking
HELP ASAP‼️‼️ A walkway surrounds a rectangular garden. The width of the garden is 5 feet, and the length is 4 feet. The width s of the walkway around the garden is the same on every side. Write an expression that represents the total area of the garden and walkway.
___ s^2+_____s+______
Answer:
=4x^2 +28x+48
Step-by-step explanation:
Width of the garden is 8
There is walkway on each side of width so add x on each side
With the walkway is x+8+x = 2x+8
Length of the garden is 6
There is walkway on each side of length so add x on each side
With the walkway is x+6+x = 2x+6
The area of the garden is
A = lw
A = 8*6 = 48
The area of the walkway and garden is
A = lw
= (2x+8) (2x+6)
FOIL (first outer inner last)
= 4x^2 + 12x + 16x +48
=4x^2 +28x+48
HELP ASAP ASAP!!!!!!!!!!!!!!!!! HELP NOWWWWWWWWWW!
Answer:
the answer is A
Step-by-step explanation:
an isosceles triangle is a triangle with two congruent sides and one not congruent to the others
Answer:
A
Step-by-step explanation:
the isosceles triangle has at least two equal sides and so does triangle W
-10 + x + 4 – 5 = 7x – 5 i know the answer its -1 help please
Answer:
x = -1
Step-by-step explanation:
- 10 + x + 4 - 5 = 7x - 5
-11 + x = 7x - 5
-6 + x = 7x
-6 = 6x
x = -1
Answer:
x= -1
Step-by-step explanation:
Step 1: combine like terms
-10+x+4-5=7x-5----------> -10-5+4+x=7x-5-------->-11+x=7x-5
Step 2: Isolate the variable
-11+x=7x-5-------------> -11+5-x+x=7x-x+5-5-------> -6=6x
Answer:
x= -1
will mark brainliest :)
Answer:
B and E
Step-by-step explanation:
The 2 in front of the x^3 stretches it vertically and the +8 shifts it up.
Answer:
hi
Step-by-step explanation:
Try It!
» Joaquin wants to reduce the number of winners so he
does not have to prepare as many prizes. Choose
another sum he could use as a winning sum, and
predict the number of winners if 500 people play his
game.
Answer:
Late, but is it 78?
Step-by-step explanation:
5 1/2 by 4 3/4 by 1/4 scale it down by 1/10
Answer:
(11/20 by 19/40 by 1/40) OR (0.55 by 0.475 by 0.025)
Step-by-step explanation:
To scale down a set of measurements, simply multiply the original measurement by the factors you're scaling it by. For example, take the first measurement of 5 1/2. To scale this down, I turned the value into an improper fraction (11/2) to make the multiplication process easier. Then, I multiplied 11/2 by the factor of 1/10.
After that, I got 11/20, which is the new first measurement.
help pls i give u brainliest and 5 stars
Answer:
Surface area means all 6 sides
TOP side= 2 multiplied by 5
Bottom = 2 multiplied by 5
Right face = 2 multiplied by 8.1
Left face = 2 multiplied by 8.1
Back side = 5 multiplied by 8.1
front side = 5 multiplied by 8.1
10+10+16.2+16.2+40.5+40.5 = 133.4 cm ^2
Answer:
133.4 cm²
Step-by-step explanation:
The opposite faces of the cuboid are congruent, thus
front/ back = 2(8.1 × 5) = 2 × 40.5 = 81 cm²
top/ bottom = 2(5 × 2) = 2 × 10 = 20 cm²
sides = 2(8.1 × 2) = 2 × 16.2 =32.4 cm²
Thus
Surface area = 81 + 20 + 32.4 = 133.4 cm²
Find the length of the side of a square whose area is 36 m2.
6 m
11 m
4 m
10 m
Answer:
6 m
Step-by-step explanation:
plz mark brainliest!
help ASAP
find the volume of the cone and cylinder please
Answer:
This is for cylyinder
V=πr2h
2723.76
1. FIND THE MEAN OF 8, 15, 10, 22, 16, 4
2. THE MEAN OF 42, X, 26, 58, 38 IS 40. FIND X
3. THE MASSES OF FIVE BAGS ARE 38.6KG, 40.5KG, 46.8KG, 30.7KG, 44.4KG. CALCULATE THE MEDIAN MASS.
4. FIND THE MODE OF THESE NUMBERS 10, 8, 13, 16, 14, 9, 5, 18, 13, 8
5. CALCULATE THE RANGE OF THE FOLLOWING SETS OF DATA. 10, 11, 13, 14, 17, 19, 15, 12, 12, 15.
Answers:
1. 12.5
2. 36
3. 40.5 kg
4. 13 and 8
5. 9
Look at the attached picture
Hope it will help you...
Good luck on your assignment
Connie has 84 feet of red ribbon 48 feet of blue ribbon and 72 feet of blue ribbon she wants to cut the ribbons into equal lengths that are as long as possible so that no ribbon is wasted
Answer:
Connie can cut the ribbon into 12 foot pieces.
Step-by-step explanation:
For these problems we should find the GCF, which is 12.
Alex knows that 4×20=80.
Select the three statements that are true.
Answer:
Don't Know
Step-by-step explanation:
I'm sorry to say this but I can't answer this full equation without knowing what the three statements are.
From my last question, I was wondering if anyone could help me with part 2:
The zeros are x= __. (Use a comma to separate answers.)
Answer:
x = - 1, x = 3
Step-by-step explanation:
The zeros are the points on the x- axis where the graph crosses, that is
x = - 1, x = 3
Answer:
Step-by-step explanation:
zeros are where curve cuts x-axis
so zeros are -1,3
Need help with this pls!!
Show work pls
Answer:
He has 7 nickels, 14 dimes, and 21 quarters.
Step-by-step explanation:
Let d = number of dimes.
Let n = number of nickels.
Let q = number of quarters.
The value of a dime is $0.10, so d dimes are worth 0.1d
The value of a nickel is $0.05, so n nickles are worth 0.05n
The value of a quarter is $0.25, so q quarters are worth 0.25q
The value of all coins combined is the sum of the values above, and it equals $7.00
0.1d + 0.05n + 0.25q = 7
The number of dimes = 2 times the number of nickels, so
d = 2n
The number of quarters = 3 times the number of nickels, so
q = 3n
Now we substitute 2n for d and 3n for q in our equation above.
0.1d + 0.05n + 0.25q = 7
0.1(2n) + 0.05n + 0.25(3n) = 7
0.2n + 0.05n + 0.75n = 7
n = 7
He has 7 nickels.
d = 2n = 2(7) = 14
He has 14 dimes.
q = 3n = 3(7) = 21
He has 21 quarters.
Answer: He has 7 nickels, 14 dimes, and 21 quarters.
Answer: He has 7 nickels, 14 dimes, and 21 quarters.
Step-by-step explanation:Did this one before and got it right!
A club consisting of 6 juniors and 8 seniors is to be formed from a group of 13 juniors and 16 seniors. How many different clubs can be formed the group?
Answer:
22084920
Step-by-step explanation:
You bought a wake board boat 4 years ago for $45,000. The boat's value depreciates by 10%
per year.
Answer:
it would be about $18000 in value
Step-by-step explanation:
:)
In a rhombus whose side measures 20 and the smaller angle is 38°. Find the length of the larger diagonal, to the nearest tenth.
A rhombus diagonals form right angles. The diagonals also cut in half the angles
use cosine: cos38 = [tex]\frac{a}{20\\\\}[/tex]
a = 20cos38
a=15.8
If DE is congruent to KR and O is the midpoint of ER and DK, which of the following congruence postulates can be used
to prove that the triangles are congruent.
SAS
SSS
ASA
HL
Answer:
ASA
Step-by-step explanation: I'm not sure I had just found a key.
Answer:
its SAS
Step-by-step explanation:
A Biycle wheel has a diameter of 52cm.
What is the radius of a wheel?
The radius of each circle is 3.7m
What are the width and length of the rectangle?
The string stretched between a fixed point and pencil is 75.5cm long
If the pencil is used the draw a circle what will the diameter of the circle be?
A yellow circle is placed in the middle of a blue circle.
The radius of the blue circle is 14.9cm and the radius of the yellow circle is 7.9cm
What is the distance of XY?
Answer:
26cm
Step-by-step explanation:
because 2 radius equal 1 diameter
Answers are
A)0-5
B)5-10
C)10-15
D)15-20
Answer:
C
Step-by-step explanation:
The median number is 7 and the seventh runner is in interval 10-15
Answer:
Option C ....final answer.
Find the 72nd term of the arithmetic sequence -27, -11, 5,...
Answer:
1109
Step-by-step explanation:
So the pattern is + 16
So if you start from -27, the second term is -27 + 16 * 1
The 72nd term will be -27 + 16 * 71
16 * 71 = 1136
-27 + 1136 = 1109
It costs $25.25 for a ticket to the annual garlic festival. If Shelby wants to go with three of her friends, how
much money they need for the tickets?
1. $50.50
2. $75.75
3. $101.00
4.$127.50
Answer:
3: 101.00
Step-by-step explanation:
This is a trick question. It says that Shelby wants to go with THREE other friends and implies that she is going too. So that means there are 4 people going. Hence, do 25.25*4=101.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!
Answer:
b= a/3 - 13/3
Step-by-step explanation:
An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?
Answer:
60
Step-by-step explanation:
math
Answer:
60
Step-by-step explanation:
The function for the total profit is going to be [tex]f(x)=(20+x)(100-x)[/tex] because the profit is the number of paintings multiplied by the number of dollars per painting, and for each additional painting the cost goes down by one. Multiplying this out, you get the quadratic function [tex]f(x)=-x^{2}+80x+2000[/tex]. We are trying to find the maximum, or the vertex, and we do not care about the y-coordinate of the vertex, which is the dollar amount, we only care about the x coordinate. We can find the x coordinate by using [tex]-b/2a[/tex] , which gives -80/-2 or 40. Now, we must remember that we started with 20 paintings, so adding 20 to 40 we get 60, the final answer.