9514 1404 393
Answer:
a. 24 = 8·3
b. 336 = 8·x
Step-by-step explanation:
A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).
a/b = c ⇔ a = bc
__
a. 24/3 = 8 ⇒ 24 = 3·8
b. 336/8 = x ⇒ 336 = 8x
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
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
(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.
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
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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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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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
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.
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.
Show 1/4 on the number line. Show 1/2 on the number line .
Answer:
If you were marking these fractions on a number line, keep in mine that 1/2 is equivalent to 2/4. If each sides of the number line are divided into four parts per whole number, this info is useful.
Step-by-step explanation:
Hope this helped!
Which product is the better deal
A. Washing Powder
B. Super Clean
(easy)
Answer:
i think b (super clean)
Step-by-step explanation:
I need a little bit of help on this question.
Answer:
your answer will be 64 inch on your mathematics problem
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:
# Prove
Please help me anyone please help.
No links and random answers please.
Answer:
proved
Step-by-step explanation:
hope it helped!!!
What is diffusion concentration gradient
ay know what 10,000 x 1 is
Answer:
1
Step-by-step explanation:
any thing times 1 is 1
Someone come in clutch pls
Answer:
vertical angles is the answer
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
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]
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.
5. Jerald is investigating the typical depreciation rate for the used automobile he intends to purchase next month. He has collected the following data about an automobile purchased in 1999 for 12,500. a. Using Jerald’s data, find the best-fit exponential equation for this deprecation using the substitution method. Must show work. b. Using the same data, get an equation using the calculator's regression feature. Then estimate the depreciated value of the automobile in 2010:
An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.
The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379
I've added the missing data as an attachment.
An exponential equation is represented as:
[tex]y = ab^x[/tex]
Where:
[tex]a \to[/tex] the first term
[tex]b \to[/tex] rate
[tex]x \to[/tex] years after 1999
[tex]y \to[/tex] depreciated value
When [tex]x = 0\ \&\ y=12500[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]12500 = ab^0[/tex]
[tex]12500 = a*1[/tex]
[tex]12500 = a[/tex]
[tex]a =12500[/tex]
When [tex]x = 1\, \&\ y = 10750[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]10750 = ab^1[/tex]
[tex]10750 = ab[/tex]
Substitute [tex]a =12500[/tex]
[tex]10750 = 12500 \times b[/tex]
Solve for b
[tex]b =\frac{10750 }{12500}[/tex]
[tex]b =0.86[/tex]
So, the equation is:
[tex]y = ab^x[/tex]
[tex]y = 12500(0.86)^x[/tex]
To calculate the depreciated value in 2010, we first solve for x in 2010
[tex]x = 2010 - 1999[/tex]
[tex]x = 11[/tex]
So, the depreciated value (y) is:
[tex]y = 12500(0.86)^x[/tex]
[tex]y = 12500 \times 0.86^{11}[/tex]
[tex]y = 2379[/tex]
Read more about exponential equation at:
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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
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:
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
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.
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
I need help please.
Answer:
it might be A but dont trust me
Step-by-step explanation:
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
What is the measure of the missing angle?
Answer:
51
Step-by-step explanation:
180-86-43=51
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:
