Answer:
(a) Expanded form:
[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]
(b) The value of the expression: -21
Step-by-step explanation:
Given
[tex]\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)[/tex]
Solving (a): The expanded form:
This means that we substitute the values of i from 1 to 4 in the above expression.
So, the expression becomes:
[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]
Solving (b): The value of the expression
To do this, we simply substitute the given values of X1, X2....... in the expression.
This gives:
So, the expression becomes:
[tex]((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)[/tex]
Simplify each bracket
[tex]((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)[/tex]
[tex]0 + 29 -48 -2[/tex]
[tex]-21[/tex]
Hence, the result of the expression is -21
Someone come in clutch pls
Answer:
vertical angles is the answer
what is the power of the variable in a constant term?
A. 1
B. None of the options is correct
C. 0
D. A Constant term is not variable
Answer:
C. 0Step-by-step explanation:
As,
In a constant term the power of the variable is zero, so it's degree is 0.
Eg:
[tex]4 {a}^{0} [/tex]
Since,
[tex] {x}^{0} = 1[/tex]
Hence,
4 × 1 = 4
Here, The value remains unchanged hence it is the constant variable.
Jon is taking a 625 mile trip, on the first day he drove 183 miles. How many more miles does he need to drive???
Answer:
442
Step-by-step explanation:
624-183= 442 he needs to drive 442 miles more
Aiden researches and finds that 37% of students at his school participate in the after school program. Aiden takes a random sample of 50 students and finds that 27 students participate in the after. Which statement correctly describe the sample ratio?
O The sample ratio is 27%, which is above the population ratio.
O The sample ratio is 27%, which is below the population ratio.
O The sample ratio is 54%, which is above the population ratio.
O The sample ratio is 54%, which is below the population ratio.
Answer:
Divide the number of students who participate in the after school program by the number of students in the sample. Multiply by 100 to find the percentage.
Step-by-step explanation:
Use the random sample to make an inference about the sample and population.
The measure of ADB is 162º. What is the measure of <EAB
Answer:
81 degrees
Step-by-step explanation:
Applying the inscribed angle theorem, the measure of ∠EAB is: 81°.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that an intercepted arc measure is always twice the measure of the inscribed angle in a circle.
Given the following:
Inscribed angle = ∠EABIntercepted arc = ADB = 162°We would therefore have the following:
1/2(ADB) = m∠EAB
Substitute
1/2(162) = m∠EAB
m∠EAB = 81°
Therefore, applying the inscribed angle theorem, the measure of ∠EAB is: 81°.
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Jaime earned some money mowing the neighbor's lawn. He spent one-fourth of his money to take his friends to see a movie. Then he spent $7.00 on popcorn and drinks. When he went home, he had $71.00 left. How much did Jaime earn mowing the neighbor's lawn?
A. $13
B. $64
C. $78
D. $104
Attendance has never been a component of the grade for this course. However, over the years I have noticed that 40% of those who attend regularly receive an above average grade (B or better), while only 10% of those who do not attend regularly receive an above average grade. About 70% of the students attend class regularly. One student is randomly selected at the end of the semester. Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade
Answer:
0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Did not receive an above average grade.
Event B: Did not attend class regularly.
Probability of an student not receiving an above average grade:
100 - 40 = 60% of 70%(attend class regularly).
100 - 10 = 90% of 100 - 70 = 30%(do not attend class regularly).
So
[tex]P(A) = 0.6*0.7 + 0.9*0.3 = 0.69[/tex]
Did not receive an above average grade and did not attend class regularly:
90% of 30%. So
[tex]P(A \cap B) = 0.9*0.3 = 0.27[/tex]
Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.27}{0.69} = 0.3913[/tex]
0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade
Nike marks up the original cost of all of the shoes they sell by 30%. Andre wants to buy a pair of shoes that has a price tag of $117. What was the original cost of these shoes before the 30% markup?
Answer:
$90
Step-by-step explanation:
The shoes now cost 130% of the original cost
The original cost is 100%
Take the new amount and divide it by 130:
117/130 = .90
Then multiply that number by 100 to get the original percent
.90 x 100 = $90
To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117
$90 x 1.30 = $117
what is value of this expression
Answer:
Step-by-step explanation:
= 4 + (-2)/ -3 + 3
= 4 - 2/ -3 + 3
= 2/0 If the denominator is 0, the value is undefined.
Answer:
2/0, which would be undefined.
Step-by-step explanation:
What is diffusion concentration gradient
Which product is the better deal
A. Washing Powder
B. Super Clean
(easy)
Answer:
i think b (super clean)
Step-by-step explanation:
# Prove
Please help me anyone please help.
No links and random answers please.
Answer:
proved
Step-by-step explanation:
hope it helped!!!
WILL MARK BRAINLEST
Which statement cannot be true of the graph of a proportional relationship?
A It is not linear.
B It is a straight line.
C It includes the origin.
D It shows a constant ratio.
Answer:
A
Hope that helps!
Step-by-step explanation:
P(-3,-5) and Q(1, -3) represent points in a coordinate
plane. Find the midpoint of PQ.
Step by step explanation :
The two points are ,
P( -3 , -5)Q (1 , -3)We can find the midpoint by finding the median of x coordinate and y coordinate .
[tex]\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}[/tex]
The cost table shows the average cost, a(x), of
producing x number of earbuds.
When verifying that a function represented in another
table is the inverse of the given cost function, which
ordered pair can be expected?
2 20
a(x) 52
25 30
67.5 84
O (20, 20)
O (52, 20)
O (20,52)
O (52,52)
Reverse the numbers in the table to get:
(52,20) (67.5,25) and (64,30)
The answer would be (52,20)
The ordered pair can be expected will be (52, 20). Then the correct option is B.
What is the inverse function?Let the function f is given as
y = m(x + a) + c
Then the inverse function of the function f will be given by swapping x with y and y with x.
The cost table shows the average cost, a(x), of producing x number of earbuds. When verifying that a function represented in another table is the inverse of the given cost function.
(2, 20), (a(x), 52), (25, 30), (67.5, 84)
The ordered pair of the inverse function is given as,
(20, 2), (52, a(x)), (30, 25), (84, 67.5)
The ordered pair can be expected will be (52, 20). Then the correct option is B.
More about the inverse function is given below.
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James wants to purchase a car.
The purchase price of the car is $27,000.00 The dealership will allow him to pay cash or
finance the car with a down payment of $5,000.00 and 60 monthly payments of
$525.00. James chooses to finance the car.
Answer the following questions:
a) What is the amount financed?
b) What is the total amount of monthly payments?
c} What is the amount of the finance charge?
(a) The amount financed is $22,000.
(b) Total amount of monthly payments is $31,500.
(c) Amount of the finance charge is $9,500.
What is Down Payment?Down payment is the amount which has to be paid at the beginning of a transaction while buying a house or a car.
Given that,
Purchase price of the car = $27,000.00
Down payment = $5,000.00
Number of monthly payments = 60
Amount of monthly payment = $525
(a) Amount financed = Purchase price - Down payment
= $27,000.00 - $5,000.00
= $22,000
(b) Total amount of monthly payments = 60 × $525
= $31,500
(c) Amount of the finance charge = $31,500 - $22,000
= $9,500
Hence the amount financed is $22,000.
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Mae Ling earns a weekly salary of $310 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,100 worth of merchandise
Answer:
638 in week
Step-by-step explanation:
4100×0,08=328
328+310=638
Select the correct answer.
Which of the following cases determined that the US president is not above the law during judicial proceedings and cannot withhold evidence?
A.
Hazelwood v. Kuhlmeier
B.
Bush v. Gore
United States v. Nixon
D.
Tinker v. Des Moines
the average of 6 members to 2 8 9 x 7 and 12 is 7 find the value of x
Answer:
x=(-45)
Step-by-step explanation:
2+8+9+x+7+12=7
38+x=7
x=(-45)
38+(-45)=7
1. What was the median number of guests for
each holiday?
THANKSGIVING
NEW
YEAR'S EVE
2. What is the IQR for each holiday?
3. Which holiday showed greater variqbility in the
data?
20
30
5 10 15
25
NUMBER OF GUESTS AT DINNER
1. What was the median number of guests for
each holiday?
Thanksgiving. 8
New Year's-17
Thanksgiving: 15
New Year's 10
Thanksgiving- 17
New Year's
Thanksgiving 10
New Year's-15
Answer:
Thanksgiving, median = 17
New year's eve, median = 8
Thanksgiving, IQR = 12
New year's eve, IQR = 10
THANKSGIVING has greater variability
Step-by-step explanation:
The median value of a box plot is the line which lies in the middle of the box :
From the plot, the best estimate :
Thanksgiving, median = 17
New year's eve, median = 8
THE Interquartile range, IQR is the difference between the upper quartile and lower quartile values, Q3 - Q1 ;
Lower quartile = the starting point of the box
Upper quartile = the endpoint of the box
From the plot ; Best estimate :
Thanksgiving :
Q1 = 12 ; Q3 = 24
IQR = Q3 - Q1 = 24 - 12 = 12
New year's eve :
Q1 = 5 ; Q3 = 15
IQR = Q3 - Q1 = 15 - 5 = 10
Thanksgiving :
Range = Maximum - Minimum
Range = (29 - 5) = 24
New year's eve:
Range = Maximum - Minimum
Range = 22 - 3 = 19
Hence, Thanksgiving has greater variability
If the center of a circle is
(-5,8) and a point on the circle is (-5, -4) What is the radius?
Answer:
The radius is 12.
Step-by-step explanation:
You're given the center and a point on the circle. The point and the center both have an x-coordinate of -5, so there is no horizontal distance between them. The distance is only in the vertical direction. The distance from 8 to -4 is 12. Since this is the distance from the center to a point on the circle, this equals the radius.
Solve and check please i need help
Answer:
w=15
Step-by-step explanation:
The way I found the answer is dividing 120 by 8 which equaled 15 and I made sure it was correct as I multiplied 8 by 15 and the answer was 120.
ay know what 10,000 x 1 is
Answer:
1
Step-by-step explanation:
any thing times 1 is 1
(1 point) A bucket that weighs 3.6 pounds and a rope of negligible weight are used to draw water from a well that is 78 feet deep. The bucket is filled with 38 pounds of water and is pulled up at a rate of 2.9 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well. Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)
Answer:
The total work done in pulling the bucket to the top of the well is approximately 3,139.1 ft·lb
Step-by-step explanation:
The given parameters are;
The mass of the bucket, W = 3.6 pounds
The depth of the well, h = 78 feet deep
The mass of water in the bucket = 38 ponds
The rate at which the water is pulled up = 2.9 feet per second
The rate at which water is leaking from the bucket, [tex]\dot m[/tex] = 0.1 pounds per second
We separate and find the work done for lifting the bucket and the water individually, then we add the answers to get the solution to the question as follows;
The work done in lifting bucket empty from the well bottom, [tex]W_b[/tex] = W × h
∴ [tex]W_b[/tex] = 3.6 pounds × 78 feet = 280.8 ft-lb
The work done in lifting bucket empty from the well bottom, [tex]W_b[/tex] = 280.8 ft-lb
The time it takes to lift the bucket from the well bottom to the top, 't', is given as follows;
Time, t = Distance/Velocity
The time it takes to pull the bucket from the well bottom is therefore;
t = 78 ft./(2.9 ft./s) ≈ 26.897
The time it takes to pull the bucket from the well bottom to the top, t ≈ 26.897 s
The mass of water that leaks out from the bucket before it gets to the top, m₂, is therefore;
m₂ = [tex]\dot m[/tex] × t
∴ m₂ = 0.1 lbs/s × 26.897 s = 2.6897
The mass of the water that leaks, m₂ = 2.6897 lbs
The mass of water that gets to the surface m₃ = m - m₂
∴ m₃ = 38 lbs - 2.6897 lbs ≈ 35.3103 lbs
Given that the water leaks at a constant rate the equation representing the mass of the water as it is lifted can b represented by a straight line with slope, 'm' given as follows;
The slope of the linear equation m = (38 lbs - 35.3103 lbs)/(78 ft. - 0 ft.) = 0.03448[tex]\overline 3[/tex] lbs/ft.
Therefore, the equation for the weight of the water 'w' can be expressed as follows;
w = 0.03448[tex]\overline 3[/tex]·y + c
At the top of the well, y = 0 and w = 38
∴ 35.3103 = 0..03448[tex]\overline 3[/tex] × 0 + c
c = 35.3103
∴ w = 0.03448[tex]\overline 3[/tex]·y + 35.3103
The work done in lifting the water through a small distance, dy is given as follows;
(0.03448[tex]\overline 3[/tex]·y + 38) × dy
The work done in lifting the water from the bottom to the top of the well, [tex]W_{water}[/tex], is given as follows;
[tex]W_{water} = \int\limits^{78}_0 {0.03448\overline 3 \cdot y + 35.3103 } \, dy[/tex]
[tex]\therefore W_{water} = \left [ {\dfrac{0.03448\overline 3 \cdot y^2}{2} + 35.3103 \cdot y\right ]^{78}_0[/tex]
[tex]W_{water}[/tex] = (0.034483/2 × 78^2 + 35.3103 × 78) - (0.034483 × 0 + 38 × 0) ≈ 2,859.1
The work done in lifting only the water, [tex]W_{water}[/tex] ≈ 2,859.1 ft-lb
The total work done, in pulling the bucket to the top of the well, W = [tex]W_b[/tex] + [tex]W_{water}[/tex]
∴ W = 2,859.1 ft.·lb + 280.8 ft.·lb ≈ 3,139.1 ft·lb
The total work done, in pulling the bucket to the top of the well, W ≈ 3,139.1 ft·lb.
If Dede uses 10 cups of yellow paint, how much blue paint should she use to make this
same shade of green?
Answer:
10 cups
Step-by-step explanation:
Answer:
10 cups
Step-by-step explanation:
10 × 2 = 20
20÷2= 10
Do creative people make better teachers? Ten teachers at a large university were given a creativity test (scores range from 0 to 20, with higher scores indicating greater creativity) and were evaluated regarding teaching performance by students and peers (a score of 100 indicates an average performance, and larger scores indicate better performance). The creativity scores and teaching performance scores are given below.
Answer:
The answer is "0.898"
Step-by-step explanation:
Using the command in any cell that is" =CORREL(I5:I14, J5:J14)" throughout the I5:I14 its value is the creativity scores that is the J5:J14 which is the value of the performance of the score, that gets the correlation coefficient that is equal to 0.897886. Hence, the correlation of the coefficient = 0.898
I need a little bit of help on this question.
Answer:
your answer will be 64 inch on your mathematics problem
Chase had $236.00 in his savings account. Then he spent 34% or that money on a new skateboard. How much money did Chase spend on his skateboard
Answer:
$80.24
Step-by-step explanation:
The standard deviation for a set of data with mean 25 and variance 16 is?
Answer:
Standard deviation = 4
Step-by-step explanation:
Given the following data;
Mean = 25
Variance = 16
To find the standard deviation;
Mathematically, standard deviation is given by the formula;
[tex]Standard \; deviation = \sqrt{variance}[/tex]
Substituting into the formula, we have;
[tex]Standard \; deviation = \sqrt{16}[/tex]
Standard deviation = 4
Write an expression using an exponent to represent the following: Adnan Start with one coin. the number of coins doubles every day. How many coins will he have on day 8?
Answer: 128
Step-by-step explanation:
day 1: 1
day 2: 2
day 3: 4
day 4: 8
day 5: 16
day 6: 32
day 7: 64
day 8: 128
ALSO.
you can solve it by doing 2 to the power of 8
2^8 is the expression