Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing. a. If 20 cards are defective, what is the probability that at least 1 defective card is in the sample
Answer:
The probability that at least 1 defective card is in the sample is [tex]0.9644[/tex]
Step-by-step explanation:
Here
N = 140
and n = 20
We will use the below given formula
P(at least 1 defective) = 1 - P( 0 defectives)
P( 0 defectives) =
[tex]= \frac{^{20}C_0 * ^{120}C_{20}}{ ^{140}C_{20}}\\= 0.0356 1-0.0356 \\= 0.9644[/tex]
(05.06)Use a net to find the surface area of the right triangular prism shown below:
Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.
88 square feet
232 square feet
283 square feet
300 square feet
Answer: The answer is 300
Step-by-step explanation: The triangle formula = ( B · H) ÷ 2
B = 5 H = 12 5 · 12 = 60 ÷ 2 = 30
Since there is two triangles you will have two 30's.
The rectangle farthest to the right = 13 · 8 = 104
If you unfold the triangle it will line up perfectly with the 3 rectangles, so...
The middle rectangle = 5 · 8 = 40
The rectangle farthest to the right = 12×8 = 96
Add them all up
30 + 30 + 104 + 40 + 96 = 300
Hope this helped!
Answer:
300
Step-by-step explanation:
01 PARTA Write an equation for the line represented by the data in the table. Х y -3 11 0 5 2 1 1 5 -5 7 -9
Answer: I don't know what it means by "equation" but a coordnite plane
its -3,11 0,5 2,1 5,-5 7,-9
Step-by-step explanation:
i need help with this please
19.
I hope this answer helped! please mark brainliest and vote 5 stars >:)
Answer:
x=4
Step-by-step explanation:
i used mathaway
3x+2 = 7x-14
Jenny measured 1/7 cup of flour and 1/3 cup of flour. How many total cups of flour did Jenny measure?
Answer:
I think it 25/36.
Step-by-step explanation:
The total amount of flour is 4/9 + 1/4. The common denominator of 9 and 4 is 36.
So 4/9 + 1/4 = 16/36 + 9/36 = 25/36
Jenny measured a total of 10/21 cups of flour.
Given that,
Jenny measured 1/7 cup of flour and 1/3 cup of flour. How many total cups of flour did Jenny measure is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Fraction is defined as the number of compositions that constitute the Whole. The fraction can be represented in the form of a / b.
Here,
Let, the total measure of the cups of flour be x,
x = 1/7 + 1/3
Taking lcm of the denominator 7, 3 which is 21,
now multiplying the numerators by 3 and 7,
x = (3*1 + 1*7)/21
x = 10 / 21
Thus, Jenny measured a total of 10/21 cups of flour.
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Help FAST
2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? -
- 466
99 36h
O 2x2 - 6y2
Answer:
[tex]9a^2-4b^2[/tex] is the correct answer.
Step-by-step explanation:
Difference of squares can be written as a^2 - b^2. This is equal to (a - b)(a + b)
In your answers, we see, 9a^2 - 4b^2. They are subtracting which is correct. 9 and 4 can also be rooted. 9 to 3 and 4 to 2 so
[tex]9a^2-4b^2[/tex] can be written as [tex](3a-2b)(3a+2b)[/tex]
The expression that is the difference between the two squares is 9a² - 4b⁶.
The correct option is B.
What is subtraction?Mathematical operations like subtraction exist. It is employed to delete words or objects from the phrase.
To find the difference between the two squares,
let a² and b² be the two terms.
So, a² - b² results in (a - b) (a + b).
From the given choices,
9a² - 4b⁶ = (3a)² - (2b³)²
As per the formula the expression can be rewritten as,
(3a - 2b³) (3a + 2b³)
Therefore, the required expression is 9a² - 4b⁶.
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Please help me i'm cri.
A.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Common Factors: 1, 2, 3, 4, 6, and 12
-----
B.
Factors of 16: 1, 2, 4, 8, and 16.
Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56
Common Factors: 1, 2, 4, and 8
-----
C.
Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.
Factors of 75: 1 , 3 , 5 , 15 , 25 and 75
Common Factors: 1, 3, 5, and 15.
-----
D.
Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
Common Factors: 1, 2, 3, 6, 9, and 18.
-----
E.
Whenever finding the greatest common factors of any pair of numbers it is necessary to list all the factors of each number. Then find the number that appears in both!
Use a calculator to determine the answer to 4.25 x
6.86?
Your answer isn't correct yet.
Once you submit your answer, does this fit the same
pattern as all of the previous calculations. In the
explain box, explain why or why not.
Submit and Explain
You didn't provide enough information.
4.25 x 6.86 = 29.155
pls help me:(!!!!!!!!!!
Answer:
A.........................
2y - 2x = 8
y + 6x = 11
If (1,5) is the solution to the system of equations above, what is the value of 5y?
Answer:
2
Step-by-step explanation:
is this for a test because if so good luck
Answer:
its 20 Period
Step-by-step explanation:
F. Jennifer earns $55,000 a year. About 18% is taken out for taxes. How
much is taken out for taxes?
Answer:
9900
Its taxes
dndjndnd
Answer:
$9,900
Step-by-step explanation:
18% is equal to .18
.18 times $55,000 = $9,900
Write an equation of the line that passes through the given points. (−3, 5), (0, −1)
Answer:
Step-by-step explanation:
(-1 - 5)/(0 + 3)= -6/3 = -2
y - 5 = -2(x + 3)
y - 5 = -2x - 6
y = -2x - 1
Prove that the value of the expression 7^8–7^7 +7^6 is divisible by 43.
Step-by-step explanation:
1. if to evaluate the given experssion, then
7⁶(7²-7+1)=7⁶*43.
2. if to divide this evaluated expression by 43, then
7⁶*43/43=7⁶.
0.15 + 0.1x = 1.1 ÷ 3 · 5.1 − 1.2
The area of the parallelogram is 315 square units. What is the height of the parallelogram?
WILL GIVE BRAINLEST
Answer:
15
Step-by-step explanation:
A÷B= H (Area divided by base equals height)
315÷21= 15
Answer:
height = 15
Step-by-step explanation:
Area of a parallelogram: Base * height
Plug in the values we know.
21 * height = 315
Divide both sides by 21
height = 15
A recipe calls for 1 1/2 cups of flour for 1 dozen of cookies. How much flour is needed for 32 cookies?
Answer:
4 cups
Step-by-step explanation:
Cesar bought 20 boxes of pizza and gave 14 nosed away what percentage is left
Answer:
30%
Step-by-step explanation:
14/20 is 70% he gave away, so 30% is left.
Answer:
30%
Step-by-step explanation:
I hope this helps :)
Charmaine drives a truck for a soft drink company. Her truck is filled with 20 ounce cans and 80 ounce bottles. Let x be the number of 20 ounce cans the truck is carrying, and let y be the number of 80 ounce bottles.The truck must be carrying at most 48,000ounce). Using the values and variables given, write an inequality describing this
9514 1404 393
Answer:
20x +80y ≤ 48000
Step-by-step explanation:
If x is the number of 20-ounce cans, then the number of ounces in the cans is 20x.
If y is the number of 80-ounce bottles, then the number of ounces in the bottles is 80y.
"At most 48,000 ounces" means the total of ounces of cans and ounces of bottles must be less than or equal to 48000.
20x +80y ≤ 48000
Which ordered pair solves the system of equations?
Answer:
(1;1)
Step-by-step explanation:
1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:
5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;
2. if x=1, then y=2x-1=2-1= 1.
3. the required pair is (1;1)
A right triangle and some of its measurements are shown in this diagram. Based on the measurements shown in the diagram, what is the value of T? HELP HELP GOD IMMA FAIL PLZ THIS IS URGENT
Answer:
t = 6√3 mm
Step-by-step explanation:
The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2
The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm
t = side opposite the 60° angle = 6√3 mm.
The value of T is 6√3.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Hypotenuse = 12 mm
Using Trigonometry
sin 60 = P/H
√3/2= P/12
12√3/2= P
P= 6√3
Thus, the value of T is 6√3.
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1. It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase
7.5 lbs of walnuts? Explain or show your reasoning.
Answer:
$34.50
Step-by-step explanation:
First, how many 3/4 lbs are in 7.5 lbs?
7.5 lbs = 15/2 lbs.
(15/2) / (3/4) = 10
There are 10 "3/4" lbs in 7.5 lbs.
So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.
Let me know if this helps!
C=-a/b what does a equal
Answer:
a = -bc
Step-by-step explanation:
We are given the equation:
c = -a/b
Because multiplication and division are inverse operations, if we move b over to the other side, since it was dividing on the right side, it would be multiplied on the other side (I don't know how to explain that well)
so you can make it look like this:
b*c = -a
Or:
-a = b*c
Then, do isolate a, we will have to divide by -1 on both sides
a = -b*c
To check this, we can plug in numbers
-8 = -16/2
-16 = -8*2
16 = 8 * 2
Let me know if you have any questions
Marilyn buys pens that cost $12 per dozen. What is the cost of one pen?
$12.00
$24.00
$1.00
$1.20
When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?
Answer:
I know you go to aops...
Step-by-step explanation:
First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!
What do opposite rays form
Answer:
they form a single straight line:)
Answer:
a line
Step-by-step explanation:
Here is ray AB
A B
+----------------------+------------------->
It starts at point A, goes through point B, and goes only in one direction, to the right. Points A and B lie on line AB.
Now I'll add an opposite ray whose endpoint is also point A.
C A B
<-----------+--------------+----------------------+------------------->
Ray AC also lies on the same line as ray AB, but starting at point A, it goes in the opposite direction of ray AB. When you add ray AC to its opposite ray AB, you get the entire line AB.
Answer: a line
please help!!! if you can thank you so much and have a bless day!!!!
Answer:
6
Step-by-step explanation:
Simply 2(×+4)+3(×-4)
Answer:
5x - 4
Step-by-step explanation:
In this question, you have to simplify the expression.
Solve:
2(x + 4) + 3(x - 4)
Use the distributive property.
2x + 8 + 3(x - 4)
2x + 8 + 3x - 12
Combine like terms.
5x + 8 - 12
5x - 4
Since there is no more similar terms, we are left with our final answer.
Your answer would be 5x - 4
A $60 sweater is on sale for 25% off. What is the sale price of the sweater?
Answer:
$45
Step-by-step explanation:
60/4=15 15x3(75%)=45
your sweater is $45 with the discount
3) Our next presidential election is in
2016. A presidential term lasts 4
years. How many presidential terms
will be served between our next
election and the year 2500?
Answer:121
Step-by-step explanation:
Determine the volume of a sphere with a diameter of 70 mm.
Question options:
A)
3,216.9 mm3
B)
100,024 mm3
C) CORRECT ANSWER
179,594.4 mm3
D)
21,714.7 mm3
Answer:
c.
Step-by-step explanation:
4/3 pi r²
4/3 × 3.142 or 22/7 × 3.5²