The number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 9876 ways.
The box contains 400 computer chips. Of these 400 chips 24 are defective and 376 are good.
A quality control inspector samples 2 computer chips.
The number of ways to select at least 8 defective chip is:
n (At least 8 defective chip) = n (1 defective chip) + n (2 defective chips)+n (3 defective chips)+n (4 defective chips)+n (5 defective chips)+n (6 defective chips)+n (7 defective chips)+n (8 defective chips)
The number of ways to select 1 defective chip is:24C1*400C1=24*400=9600 ways.
The number of ways to select 2 defective chips is: 24C2*400C0=276*1=276ways.
n (At least 1 defective chip) = n (1 defective chip) + n (2 defective chips)
= 9600+276
= 9876
Thus, the number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 9876 ways.
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What is the answer to -6x - 11 = 19
And how to solve it?
-6x-11=19/+11 <=>
<=> -6x=30/:(-6) <=>
<=> x=-5
A plane flies 1.7 hours at 140 mph on a bearing of 10 degrees. It then turns and flies 9.6 hours at the same speed on a bearing of 100 degrees. How far is the plane from its starting point?
The starting point is 1,365 miles .
Given :
→ initial time of plane = 1.7 hours
→ initial speed = 140 mph
→ final time of plane = 9.6 hours
→ final speed = same = 140 mph
The initial displacement of the plane is :
distance = speed × time
= 1.7 × 140
= 238 miles
The final displacement of the plane is :
distance = 9.6 × 140
= 1,344 miles
The angles between initial and final displacement is :
100° - 10 ° = 90 °
The distance of the plane from its starting point is calculated as follows
d = [tex]\sqrt{238^{2}+ 1344^{2} }[/tex]
d = [tex]\sqrt{56644 + 1806336}[/tex]
= [tex]\sqrt{1862980}[/tex]
= 1364.9 miles ≈ 1,365 miles
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Which triangles are congruent by ASA?
The correct answer is [b] ΔHGF and ΔABC.
In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
What do you mean by congruent?In geometry, the two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Formally speaking, two sets of points are said to be congruent if—and only if—they can be changed into the one another by an isometry, which is a combination of rigid motions like translation, rotation, and reflection. This indicates that either object may be precisely aligned with the other object by moving and reflecting it, but not by resizing it. So if we can cut out and then perfectly match up two separate plane figures on a piece of paper, they are congruent. The paper may be turned over.
Triangles with two pairs of congruent sides and an included congruent angle are said to be congruent by ASA.
According to the graph, sides TU, FG, and BC are congruent, as well as sides TV, HG, and AB. Additionally, it shows that angles G and B are congruent as well as angles U, F, and C. Triangle TUV is eliminated because ASA cannot find another triangle that is equivalent to angle U of triangle TUV using the information provided.
The only triangles left are FGH and ABC. These triangles are congruent by ASA since it is clear that angles G and B are included angles.
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5. For the following function, evaluate f(5)-f(4), *
f(x) = -2x²-x+3
For this following function by evaluating f(5)-f(4) we get -19.
What is evaluate?
Finding the value of an algebraic expression when a given number is used to replace a variable is known as evaluating the expression. When evaluating an expression, we change the variable in the expression to the given number and then use the order of operations to simplify the expression.
Sol- f(5)-f(4)
f(5)-f(4)= (-2.5^2-5+3)-(-2.4^2-4+3)
Calculate the power
(-2×25-5+3)-(-2×4^2-4+3)
Calculate the product or quotient
(-50-5+3)-(-2×16-4+3)
Calculate the sum
-52-(-32-4+3)
=-52-(-33)
determine the sign
=-52+33
By calculating the sum of difference we are get
-19.
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Could someone help me with this question?
Select the correct answer.
Aster Inc. paid salaries of $28,000 to its employees. How are the balance sheet and income statement affected by this transaction?
Based on the fact that Aster Inc. paid salaries to its employees, the effect on the balance sheet and the income statement is A. Assets ↓ Expenses ↑.
What are assets and expenses affected?When the salaries were paid by Aster Inc. to its employees, the effect was that the assets decreased. This is because cash was used to pay the salaries and cash is an asset.
Expenses will increase because when there is a payment of expenses to employees, it is recorded as a debit to the relevant asset account so this is an increase that will decrease income.
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What is -0.25 as a fraction in its simplest form
Answer:
-1/4
Explanation:
To write the decimal -0.25 as a fraction we need to multiply and divide by 100 as follows:
[tex]-0.25\times\frac{100}{100}=\frac{-0.25\times100}{100}=\frac{-25}{100}[/tex]We multiply by 100 because there are 2 digits after the decimal point.
Then, we need to simplify the fraction, so we can divide the numerator and the denominator by 25 as:
[tex]\frac{-25}{100}=\frac{-25\div25}{100\div25}=-\frac{1}{4}[/tex]So, the fraction in its simplest form is -1/4
help me the question please rast the answers
Considering the situation with the parallel lines being cut by the two transversal lines, the measures of the angles are given as follows:
12. m<14 = 66º (option C).
13. m<12 = 86º (option D).
Measure of angle 14Angles 4 and 15 are alternate exterior angles, as they are on different sides of the same transversal line, hence they are congruent, that is:
m<15 = 114º.
Angles 14 and 15 are consecutive interior angles, meaning that they are supplementary, hence the measure of angle 14 is calculated as follows:
m<14 + m<15 = 180º
m<14 + 114º = 180º
m<14 = 66º.
Measure of angle 12Angles 5 and 10 are alternate interior angles, as they are on the opposite internal sides of the same transversal line, hence they are congruent and the measure of angle 10 is given as follows:
m<10 = 86º.
Angles 10 and 12 are equivalent angles, as they are on the same position, just relative to different transversal lines, hence they are also congruent, and the measure of angle 12 is given as follows:
m<12 = 86º.
Missing informationThe diagram with these lines is given by the image at the end of the answer.
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Complete the table of values representing the linear equation 5x - 4y = -8.
Enter your answers as integers or decimals in the spaces provided.
X
-6
0
y
-3
0
Substitution method - the points are (-6, -11/2),(-4,-3), (-8/5,0), (0,2) and (4,7)
what is the substitution method?
To solve many simultaneous linear equations, use the substitution method in algebra. The value of a variable from one equation is substituted in the second equation in this procedure, as the name implies.
we are given the equation,
5x - 4y = -8
case I
when x = -6
5(-6) - 4y = -8
-30 - 4y = -8
-4y = -8 + 30
-4y = 22
y = -(22/4)
y = -11/2
(x,y) = (-6, -11/2)
case II
when y = -3
5x - 4(-3) = -8
5x + 12 = -8
5x = -8 -12
5x = -20
x = -20/5
x = -4
(x,y) = (-4,-3)
case III
when y = 0
5x - 4y = -8
5x - 4(0) = -8
5x = -8
x = -8/5
(x,y) = (-8/5,0)
case III
when x = 0
5(0) - 4y = -8
0 - 4y = - 8
y= 8/4
y = 2
(x,y) = (0,2)
case IV
when x = 4
5(4) - 4y = -8
20 - 4y = -8
-4y = -8-20
-4y = -28
y = 28/4
y = 7
(x,y) = (4,7)
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t+p=
1350
Blank 1:
Р
t
PLEASE HURRY
Answer:
135
Step-by-step explanation:
two interior angles of a triangle equal to the exterior of the angle that is neither of the interior angles
so in this case
p + t = 135
please help!!!! will mark brainliest if correct!!!
The monomial in standard form is 6x¹¹y¹⁸.
The given expression is
[tex](-3xy^{2})^{3} .(-\frac{2}{3}x^{2} y^{3} )^{4}[/tex]
We to write the expression as a monomial in standard form
Monomial is an expression having a single term. It can be represented as kxⁿ, where k is any integer often known as the coefficient, x represents the variable/s in the given expression and n denotes the power.
In the expression
[tex](-3xy^{2})^{3} .(-\frac{2}{3}x^{2} y^{3} )^{4}[/tex]
we first need to multiply the powers
using the formula
(mn)ˣ = mˣnˣ
[tex](-3xy^{2})^{3} .(-\frac{2}{3}x^{2} y^{3} )^{4}\\(-3x^3y^{2.3}) .(-\frac{2}{3}x^{2.4} y^{3.4} )\\(-3x^3y^{6}) .(-\frac{2}{3}x^{8} y^{12} )\\[/tex]
Now, we need to multiply both the terms
The following formula is used
xᵃ . xᵇ = xᵃ+ᵇ
[tex](-3x^3y^{6}) .(-\frac{2}{3}x^{8} y^{12} )\\\\-3(-\frac{2}{3})x^{3+8} y^{6+12} \\\\6x^{11}y^{18}[/tex]
Therefore the monomial in standard form is 6x¹¹y¹⁸.
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Look at the distance vs. elevation graph. Describe the relationship between distance and elevation. Does the relationship support the continental drift theory? Provide at least one piece of support for your answer by referencing your graph
The relationship has no relation to continental drift theory, as it is a relation between distance and time, not distance and elevation.
What is continental drift theory?The continental drift theory states that the world's tectonic plates are in constant motion over time.
This is supported by the fact that some millions of years ago, there was only one continent, named Pangea, and now we have the continents as we know. These continents are also moving a small amount a year.
In this problem, the elevation decreases and the distance increases, however, the continental drift theory should have the distance increasing or decreasing over time, hence the graph relationship has no relation to the continental drift theory.
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help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer: 9 square inches
Step-by-step explanation:
please somebody help me I really need help with this
Answer:
54.4 %
Explanation:
The percent change in net sales can be calculated as:
[tex]\text{ \% Change = }\frac{\text{ Final number - Initial number}}{\text{ Initial number}}\times100[/tex]Where the final number is the net sales in quarter 2 and the initial number is the net sales in quarter 1. Replacing the values by 170 and 110, we get:
[tex]\text{ \% Change = }\frac{170-110}{110}\times100=\frac{60}{110}\times100=54.5\text{ \%}[/tex]Therefore, the answer is:
percent change = 54.5 %
Point P represents a ship outside of a danger circle.What is mZĀC?68°110°84°D81°2658°
26 = (110 - x)/2
52 = 110 - x
x = 110 - 52
x = 58°
a student missed 4 problems on a mathematics test and received a grade of 75%. if all the problems were of equal value, how many problems were on the test?
The problems in the test are 16.
In the given case a student missed four problems on a test.
The test happened to be a mathematics test and the student scored a total percentage of 75%.
It is mentioned that every question has of same score values.
To find out how many problems were actually on the test we need to solve the problem by following the steps.
Let,
Questions not attempted ( x ) = 4
Percentage gained ( y ) = 75%
The percentage lost is 25%
The total questions in the test are;
→ A = (100/25) * 4
A = 16
Therefore, the questions in the test are 16.
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Will give brainly pls help asap
Answer: [tex]\frac{\sqrt{x}^3 }{3}[/tex]
Step-by-step explanation:
Step 1: Insert f(x) in for the x in g(x). This will give you [tex]\sqrt{x^3}[/tex]
Step 2: Insert [tex]\sqrt{x^3}[/tex] into the x in h(x) giving you [tex]\frac{\sqrt{x}^3 }{3}[/tex]
Find the value of “B,” that will make a perfect square trinomial. x² + Bx + 1.
*
Type the answer for B as a whole number.
Using algebraic identities, we found that for B=2 and B= -2 , the trinomial x² + Bx +1 makes a perfect square.
What are algebraic identities?Algebraic identities are the identities which aids in solving products or powers of algebraic expressions. Most common identities are :
(a+ b)² = a² + 2ab + b²
(a- b)² = a² - 2ab + b²
a² -b² = (a+ b) (a- b), where a and b can be variable or constants or algebraic expressions.
Let the perfect square of the trinomial be (x +a)²
x² + Bx +1 = (x+ a)² = x² + 2xa + a² (using identity (a+ b)² = a² + 2ab + b²)
⇒ x² + Bx +1 = x² + 2xa + a²
⇒ Bx = 2xa , a² =1
⇒B = 2a , a =± 1
if a =1 ⇒ B = 2
If a = -1 , B = -2
For B = 2 , x² + Bx +1 = x² + 2(1)x +1² = (x+1)² ( ∵(a+ b)² = a² + 2ab + b²)
For B = -2 , x² + Bx +1 = x² -2x + (-1)² = x² -2x +1 = ( x-1)² (∵(a- b)² = a² -2ab
+ b²)
Thus, the given trinomial x² + Bx +1 is perfect square when B =2 or -2
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the average age of vehicles registered in the united states is 96 months. assume the population is normally distributed with a standard deviation of 15 months. find the probability that the mean age of a sample of 36 vehicles is between 98 and 100 months?
The probability that the mean age of a sample of 36 vehicles is between 98 and 100 months is 15.71%.
What exactly is the z-score?The Z-score indicates the measure's deviation from the mean.We analyze the z-score table after deciding the Z-score to ascertain the p-value associated with this z-score.This p-value symbolizes the likelihood that the value of the measure is less than X, or even the percentile of X.For the given question;
The data for the vehicles registered in the united states is given as-
mean μ = 196 monthsstandard deviation σ = 15 monthssample mean x = 98 and 100 monthsSample size n = 36 vehicles.The formula for the z score is-
z = (x - μ)/(σ/√n)
Put the values.
√n = √36 = 6
For x = 98 months
z = (98 - 96)/(15/6)
z = 0.8
p(z < 0.8) = 0.7881
For x = 100 months
z = (100 - 96)/(15/6)
z = 1.6
p(z < 1.6) = 0.9452
P(0.8<x<1.6) = 0.9452 - 0.7881
P(0.8<x<1.6) = 0.1571
Thus, the probability that the mean age of a sample of 36 vehicles is between 98 and 100 months is 15.71%.
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a computer randomly selects 800 names from a list of all registered voters. those selected are surveyed to predict who will win the election for mayor.
a computer randomly selects 800 names from a list of all registered voters. Then option C is correct that is Simple random sampling
A simple random sample in statistics, is a subset of individuals chosen from a larger set. Each individual is chosen randomly and entirely by chance, such that each individual has the same probability for the entire larger set.
the complete question is
Identify the sampling method as simple random sampling, systematic sampling, convenience sampling, or stratified sampling. A computer randomly selects 800 names from a list of all registered voters. Those selected are surveyed to predict who will win the election for Mayor.
Choose the correct sampling technique below.
A. Systematic sampling
B. Convenience sampling
C. Simple random sampling
D. Stratified sampling
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Volume is 7/8, length is 5/8, width is 7/9, what is height?
5/8 x 7/9 x ? = 7/8
The height of a the given shape which has a volume of 7/8, length of 5/8, width of 7/9 is 9/5
How to find height of a shape given the volume?Volume of the shape = 7/8Length of the shape = 5/8Width of the shape = 7/9Height of the shape = ?Volume = Length × width × height
7/8 = 5/8 × 7/9 × x
7/8 = 35/72x
divide both sides by 35/72x = 7/8 ÷ 35/72
multiply by the reciprocal of 35/72= 7/8 × 72/35
= 9/5
So therefore, the height of the given shape is 9/5
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Gino has a debit card. The account pays no interest. He keeps track of his purchases and deposits in this debit card register. Find the missing entries a through f.
SARL
778.19
8/4 Baseball Bat
42.19
8/5 Gas
8/7 Deposit
8/7 Gas
8/7
Dinner at Spooner's
On the Beach
8/11 Books for Fall Semester
a. 92.19
b. 51.00
C. $400.00
d. 25.00
e. 71.12
f. 491.51
**
**
92 19
ST 00
25 00
71 12
491 ST
400 00
a.
b.
C.
d.
e.
The missing entries are (a) $686, (b) $635, (c) $1035, (d) $1010, (e) $938.88 and (f) $447.37.
What is Debit Card?Debit card is a card owned by a person for which the money used for transaction will be withdrawn or added into the account of the holder immediately.
Given is a table showing the transactions of Gino with his debit card.
He has an initial deposit amount of $778.19.
New balance in the account will be the difference of previous balance and the payment amount.
He paid $92.19 for baseball bat.
a = $778.19 - 92.19 = $686
He paid $51.00 for gas.
b = $686 - $51 = $635
He deposited $400.
c = $635 + $400 = $1035
He paid $25 for gas.
d = $1035 - $25 = $1010
He paid $71.12 for dinner at Spooner's on the beach.
e = $1010 - $71.12 = $938.88
He paid $491.51 for the books for all semester.
f = $938.88 - $491.51 = $447.37
Hence the missing entries are found.
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For which of the following pairs (x,y)(x,y) does the inequality 12x^2 + 6y^2 \geq 17xy12x2+6y2≥17xy fail?
Answer:
=(3x - 2y( (4x - 3y)
Step-by-step explanation:
We have,
12x2 – 17xy + 6y2
The coefficient of x2 is 12
The coefficient of x is -17y
Constant term is 6y2
So, we express the middle term -17xy as -9xy – 8xy
12x2 -17xy+ 6y2 = 12x2 – 9xy – 8xy + 6y2
= 3x (4x – 3y) – 2y (4x – 3y)
= (3x – 2y) (4x – 3y)
if you answer beans u r a chad
beans
Answer: bean
Step-by-step explanation:
bean chd china bean poopies beans
300 divided by 2(0.5 +4.5)^2
Answer: 6
Step-by-step explanation:
1. add (0.5 + 4.5) which equals 5, so now you have 2 x 5^2.
2. evaluate the power (5^2) which equals 25 and you end up with 2 x 25 which equals 50.
3. now you have 300 divided by 50.
300 divided by 50 is 6.
The value of the expression 300 divided by 2(0.5 +4.5)²is 6
What is Simplification ?Simplification is reducing the expression/fraction/problem to a simpler form. It makes the problem easy with calculations and solving.
Given an expression, 300 divided by 2(0.5 +4.5)²
300/2(0.5 +4.5)²
= 300/2x5²
= 300/2x25
= 300/50
= 6
Hence, The value of the expression 300 divided by 2(0.5 +4.5)²is 6
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Wes wants to treat his friends to some arcade games. He has 50 game tokens. Which three responses show a number of friends Wes could divide his tokens among evenly?
The three responses that can show a number of friends Wes could divide his tokens among evenly include:
25 tokens each for 2 friends.
5 tokens each for 5 friends.
10 tokens for 5 friends.
How to illustrate the information?From the information, Wes wants to treat his friends to some arcade games. He has 50 game tokens.
It should be noted that this information simply wants you to illustrate the factors of 50.
Therefore, the factors are 2, 5, 10, 25 and 50.
Therefore, 25 for 2 friends will be 50. Same with 5 for 10 friends. In this case, it should be noted that 25 × 2 = 50 and 5 × 10 = 50. This gives the original value and shows how he can divide the game tokens equally.
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Can some one pls help!? I have no clue what I’m doing. And I’ve not been given a book to look from
The unknown angles are as follows:
m∠EFH = 59.5°m∠GFH = 59.5°What are angle bisector?An angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.
In other words, a line that splits an angle into two equal angles.
Therefore, a bisector of an angle 120 degrees bisect the angle into 60 degrees.
Hence, FH bisect ∠EFG into the angles m∠EFH and m∠GFH .
Therefore, m∠GFH and m∠EFH are congruent.
m∠EFG = 119°
Hence,
m∠EFH = m∠GFH
Therefore,
m∠EFH = 119 / 2
Hence,
m∠EFH = 59.5°
m∠GFH = 59.5°
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what are the coordinates of point E
Step-by-step explanation:
E = (-8, 2)
reflected across the y axis means that there is kind of a mirror along the y-axis.
and when you look into that mirror, you see point D as point E all the way on the other side of the mirror, at the same distance from the mirror as point D is. and point E has the same "height" (y) as point D.
since the other side of the mirror represents the negative numbers, the same distance to the mirror means the same amount of negative units away from the mirror for E, as we have positive units away from the mirror for D.
The varsity baseball team has won 15 out of their last
16 games. The junior varsity team has won 6 out of their
last 10 games. What is the probability that both teams
win their next game?
If you could give me step by step explanation that would be great.
Answer:
Step-by-step explanation:
according to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1,875. assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $640. (round your z-score computation to 2 decimal places and final answers to 2 decimal places.) a. what percent of the adults spend more than $2,775 per year on reading and entertainment?
According to a government study among adults the percent of the adults spend more than $2,775 per year on reading and entertainment is
7.98%How to determine if the probability that the elevator is overloadedGiven data form the question
the mean amount spent per year on reading and entertainment is $1,875
standard deviation of $640
what percent of the adults spend more than $2,775 per year on reading and entertainment
Definition of variables
mean sample, μ = $1,875
standard deviation, σ = $640
measure X = $2,775
For normal distribution, the z-score of a measure X with mean μ and standard deviation σ is given by as follows:
Z = ( X - μ ) / σ
Z = (2775 - 1875) / 640
Z = 1.40625 gives p-value of 0.0798250014
This is equivalents to 7.98%
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Jordan is mixing water and flour to make tortillas. The number of cups of water, w, needed for f cups of flour is described by the equation w=0.75f . What does 0.75 tell us in this situation?
If the number of cups of water w, needed for f cups of flour is described by the equation w = 0.75f, 0.75 represents the number of cups of water needed for one cup of flour
The equation is
w = 0.75f
Where w is the number of cups waters needed for f cups of flour.
Here w is is dependent variable and f is the independent variable
We can see that w is proportional to the f, the 0.75 is the constant.
w = 0.75f
Move the f to left hand side of the equation
w/f = 0.75
Hence, If the number of cups of water w, needed for f cups of flour is described by the equation w = 0.75f, 0.75 represents the number of cups of water needed for one cup of flour
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