Answer:
Answer:
C. She makes $127.50 a week
Step-by-step explanation:
Since we are looking for how much she makes every week, we need to multiply her number of hours by the pay. She makes 8.50 per hour and works 15 hours.
8.5x15=127.5
She makes $127.50 a week
Step-by-step explanation:
The solution is Option C.
The total amount of straight time pay of Monica for the week is $ 127.50
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of hours worked in the week by Monica be = T
The value of T = 15 hours
Let the earnings per hour of Monica be = $ 8.50
Now , the equation will be
Total straight line pay for Monica = number of hours worked in the week by Monica x earnings per hour of Monica
Substituting the values in the equation , we get
Total straight line pay for Monica A = 15 x 8.50
Total straight line pay for Monica A = $ 127.50
Therefore , the value of A is $ 127.50
Hence , The total amount of earnings of Monica for the week is $ 127.50
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Calculate the mean deviation by median (by using the mid-point(x) of leaf weights. b) A fair die is rolled. Find the probability of getting an odd number or a prime number or both?
Answer:
hello attached below is the required table that is missing and the completed table as well
A) mean deviation = 0.1645
B) 2/3
Step-by-step explanation:
From the table we calculated the midpoint value (x) and c.f
N = 27
median class = 2.35 to 2.45
median = l + [ (N/2) - cf / F ] * H
= 2.35 + [ (13.5 - 13) / 6 ] *0.1 = 2.3583
hence mean deviation by median
= summation of fi |xi -M| / summation of fi
= 4.4417 / 27 = 0.1645
B ) probability of getting an odd number or prime number or both
the probability of an odd number = 1/2
also the probability of an even number = 1/2
while the probability of getting neither of them = 1/3
hence the probability of getting odd or prime or both
= 1/2 + 1/2 - 1/3 = 2/3
64. Determine whether the statement is true or false: The product of a rational and irrational number is
always irrational
Answer: TRUE
Step-by-step explanation:
you can't never change an irrational number into rational number
2 × √3 = 2√3 ⇔ still an irrational number
Answer:
False
Step-by-step explanation:
The product of two irrational number 2 is irrational. False. Counterexample: (√2) ∙ (−√2) = 2. (c) The sum of a rational number and an irrational number is irrational.
1. Type your answer below. 2. Type your answer below (no spaces! for example x=19) 3. Type your answer below (no spaces! for example x=19) Need help with all three answers please quick
Answer:
1) 12
2) c=-25
3) x = -16 2/3
Step-by-step explanation:
1) ..........................
6*(4-10+8) =6*(- 6+8) =6*2= 122) ..........................
34 + 2c = -162c = - 16 -342c = -50c = -50/2c=-253) ..........................
40 = -3x - 1040+ 10 = -3x-3x = 50x = 50/-3x=-16 2/3 851-473 is the same as (_)-378...
What is working to get the answer in the parentheses?
Answer:
851- 473 = 373
(751)-378 = 373
There are 9 classes of 25 students each 4 teachers in two times as many chaperones as teachers each bus hold a total of 45 people what is the least number of busses needed for the field trip
Answer:
Least number of bus require for trip = 5 buses (Approx)
Step-by-step explanation:
Given:
Total number of classes = 9
Number of student in each class = 25
Number of teacher = 4
Number of chaperones = Double of teacher
Bus hold = 45 people
Find:
Least number of bus require for trip
Computation:
Total number of student = 9 × 25
Total number of student = 225
Number of chaperones = 4 × 2
Number of chaperones = 8
Total people = 225 + 8 + 4
Total people = 237
Least number of bus require for trip = Total people / Bus hold
Least number of bus require for trip = 237 / 45
Least number of bus require for trip = 5.266
Least number of bus require for trip = 5 buses (Approx)
Answer:
Least number of bus require for trip = 5 buses
Step-by-step explanation:
Celine's book club read 42 books over 14 months. How many total months will it take them to read 57 books? Solve using unit rates.
Answer:
Step-by-step explanation:
42/14 = 57/x
42x = 57*14
42x = 798
x = 19 months
Answer: Actually its 18 months they calculated wrong
what percent of 6.2 is 14
Answer:
0.87
Step-by-step explanation:
The derivative of the trigonometric function. Please help me.
[tex]y=\dfrac{sin(x^2)}{x^3}[/tex]
Apply the quotient rule:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3\frac{\mathrm d\sin(x^2)}{\mathrm dx}-\sin(x^2)\frac{\mathrm dx^3}{\mathrm dx}}{(x^3)^2}[/tex]
Chain and power rules:
[tex]\dfrac{\mathrm d\sin(x^2)}{\mathrm dx}=\cos(x^2)\dfrac{\mathrm dx^2}{\mathrm dx}=2x\cos(x^2)[/tex]
Power rule:
[tex]\dfrac{\mathrm dx^3}{\mathrm dx}=3x^2[/tex]
Putting everything together, we have
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3(2x\cos(x^2))-\sin(x^2)(2x\cos(x^2))}{(x^3)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^3\cos(x^2)-2x\sin(x^2)\cos(x^2)}{x^6}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^2\cos(x^2)-\sin(2x^2)}{x^5}[/tex]
When [tex]x=\sqrt{\frac\pi2}[/tex], we have
[tex]\cos\left(\left(\sqrt{\dfrac\pi2}\right)^2\right)=\cos\left(\dfrac\pi2\right)=0[/tex]
[tex]\sin\left(2\left(\sqrt{\dfrac\pi2}\right)^2\right)=\sin(\pi)=0[/tex]
so the derivative is 0.
Find the average rate of change of the area of a circle with respect to its radius r as r changes from 3 to each
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the average rate of change of the area of a circle with respect to its radius r as r changes from 3 to each of the following.
(i) 3 to 4
(ii) 3 to 3.5
(iii) 3 to 3.1
(b) Find the instantaneous rate of change when r = 3. A'(3)
Area of a circle A(r)= πr²
The average rate of change of the area of a circle with respect to its radius
ΔA(r)/Δr = πr₂²-πr₁²/r₂-r₁
ΔA(r)/Δr = π(r₂²-r₁²)/r₂-r₁
i) If the radius changes from 3 to 4
ΔA(r)/Δr = π(r₂²-r₁²)/r₂-r₁
ΔA(r)/Δr = π(4²-3²)/4-3
ΔA(r)/Δr = π(16-9)/1
ΔA(r)/Δr = 7π
Hence, average rate of the area of a circle when the radius changes from 3 to 4 is 7π
ii) If the radius changes from 3 to 3.1
ΔA(r)/Δr = π(r₂²-r₁²)/r₂-r₁
ΔA(r)/Δr = π(3.5²-3²)/3.5-3
ΔA(r)/Δr = π(12.25-9)/0.5
ΔA(r)/Δr = 3.25π/0.5
ΔA(r)/Δr = 6.5π
Hence, average rate of the area of a circle when the radius changes from 3 to 3.5 is 6.5π
iii) If the radius changes from 3 to 3.1
ΔA(r)/Δr = π(r₂²-r₁²)/r₂-r₁
ΔA(r)/Δr = π(3.1²-3²)/3.1-3
ΔA(r)/Δr = π(9.61-9)/0.1
ΔA(r)/Δr = 0.61π/0.1
ΔA(r)/Δr = 6.1π
Hence, average rate of the area of a circle when the radius changes from 3 to 3.1 is 6.1π
iv) Instantaneous rate of change A'(r) = 2πr
When r = 3;
A'(3) = 2π(3)
A'(3) = 6π
Hence, the instantaneous rate of change when r = 3 is 6π
Answer:A number decreased by 4 is the same as 12.5
Step-by-step explanation:
What could be the rule ?
Answer:
Divide by 3
Step-by-step explanation:
Answer:
Sub. 10
Step-by-step explanation: input is 15 and output is 5, So i would say 15-10= 5 I would think the rule is Subtract 10, im Guessing not for sure tho! :DIf a 1000-count bottle of omeprazole 40 mg capsules costs the pharmacy $42.88, what is the estimated cost per capsule, rounded
to the nearest penny?
Answer:
Estimated cost per capsule = 4.288 (penny)
Step-by-step explanation:
Given:
Cost of 1000 capsule = $42.88
Number of capsules = 1000
Find:
Estimated cost per capsule
Computation:
1 dollar = 100 penny
So,
$42.88 = 4288 penny
Estimated cost per capsule = 4288 / 1000
Estimated cost per capsule = 4.288 (penny)
33505 divide 160 in fraction
Answer: The answer is 209.40625
The fractional equivalent of 33505 divided by 160 is 6701/32 .
Given,
33505/160
Now,
To get the fractional equivalent of 33505/160,
Divide numerator and denominator by the common factor .
So divide numerator and denominator by 5.
33505/5 = 6701
160/5 = 32
Now the simplified fraction is 6701/32.
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How to translate the number of people increased by 13 into an algebraic expression
Answer:
x +13.
where
x is number of people
Step-by-step explanation:
Let the number of people be x
given that number of people increased by 13
increased by 13 means that we whatever is the initial number of people, new number of people is 13 more than that.
thus, new number of people = x +13
to translate the number of people increased by 13 into an algebraic expression
we add 13 to number of people which can be represented by x +13.
The following data shows the number of laps run by each participant in a marathon. 46 65 55 43 51 48 57 30 43 49 32 56Which of these choices display the correct stemplot?A. 3 0 2 4 3 6 8 9 4 1 3 5 6 7 6 5B. 3 0 2 4 3 3 6 8 9 5 1 5 6 7 6 5
Answer:
The Stem plot is displayed below.
Step-by-step explanation:
A Stem Plot is a chart for demonstrating the distribution of numeric variables .
It is used to analyze the shape of the distribution.
The data provided is as follows:
S = {46, 65, 55, 43, 51, 48, 57, 30, 43, 49, 32, 56}
The Stem plot is displayed as follows:
3 | 0 2
4 | 3 3 6 8 9
5 | 1 5 6 7
6 | 5
12/5x - 2x = 3/10
solve for x
And show steps plz
Answer:
x=3/4
Step-by-step explanation:
First, we must combine like terms and find the common denominator (which is 5):
12/5x-2x
12/5x-10/5x=2/5x
Then, we cross multiply
[tex]\frac{2x}{5} =\frac{3}{10}[/tex]= 2x(10)=(3)(5)=20x=15
Then, we divide by 20 to get x:
x=15/20
and finally, we simplify the fraction
x=3/4
How is the following decimal written using bar notation? 3.126666666666...
Answer:
[tex]3.126666666666...=3.12\overline{6}[/tex]
Step-by-step explanation:
If the decimal number is repeating, then bar notation is used. A symbol called "bar" is used to express that type of numbers. it is placed at the top of the number that is repeating.
We have a number i.e. 3.126666666666...
We need express it in bar notation.
In this problem, 6 is repeating. It means "bar" is placed over 6.
So,
[tex]3.126666666666...=3.12\overline{6}[/tex]
It is the bar notation of 3.126666666666...
what is 3 feet, 3 feet, and 5 feet. What the total length?
Answer:
45 ft cubed
Step-by-step explanation:
3*3*5 is 9*5 which is 45 feet cubed.
Solve the system algebraically.
3x - 2y - 1 = 0 y = 5x + 4
What is the solution?
A:{(-9/7,-17/7)}
B:{(9/7.17/7)}
C:{(9/7,-17-7)}
Answer:
A:{(-9/7,-17/7)}
Step-by-step explanation:
3x - 2y - 1 = 0 ⇒ 3x - 2y = 1
y = 5x + 4
then:
3x - 2(5x+4) = 1
3x - 2*5x - 2*4 = 1
3x - 10x - 8 = 1
-7x = 1 + 8
7x = 9
x = -9/7
y = 5x + 4
y = 5(-9/7) + 4
y = -45/7 + 4
y = -45/7 + 28/7
y = -17/7
Answer:
A:{(-9/7, -17/7)}
answer the following Question
Answer:
a)$15.95
b) 8kg
Step-by-step explanation:
a)Approach this question by finding how much does it cost for 1g
So,
$2.1/50=$0.042per gram
then, multiple 380 to get the cost of sweets for 380 g
$0.042/gram*380gram=$15.96(Note: the gram cancel out each other)
Which is $15.95 as the question requested
b)This question stated that 3/4 of the metal has 15 kg
So, in order to find the total mass of metal we invert the 3/4 fraction
e.g 4/3*15=20kg
now we have the total mass we can find the mass for 2/5 of the metal
2/5*20kg=8kg
1. Brandon has $12. He will eam $8 for every
hour he works. He would like to have $52 at
the end of the day. Let h represent the
number of hours Brandon works.
Equation:
Solve it to find how many hours he needs
Answer:52-12=$40
1/8*40 = 5 hours.
Step-by-step explanation:
Given A = {a, b, c, d} and B = {1, 2, 3, 4} , sets A and B can be defined as? Question 2 options: equal sets equivalent sets equal and equivalent sets neither equal or equivalent sets
Answer:
equal and equivalent sets
Step-by-step explanation:
Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.
Then
1. XE(2) =
2. XP(-2) =
3. {z 62: XE() = 1} =
Answer:
[tex]\mathbf{X_E (2) = 1}[/tex]
[tex]\mathbf{X_E (-2) = 0 }[/tex]
[tex]\mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]
Step-by-step explanation:
Let E be the set of all even positive integers in the universe Z of integers,
i.e
E = {2,4,6,8,10 ....∞}
[tex]X_E : Z \to R[/tex] be the characteristic function of E.
∴
[tex]X_E(x) = \left \{ {{1 \ if \ x \ \ is \ an \ element \ of \ E} \atop {0 \ if \ x \ \ is \ not \ an \ element \ of \ E}} \right.[/tex]
For XE(2)
[tex]\mathbf{X_E (2) = 1}[/tex] since x is an element of E (i.e the set of all even numbers)
For XE(-2)
[tex]\mathbf{X_E (-2) = 0 }[/tex] since - 2 is less than 0 , and -2 is not an element of E
For { x ∈ Z: XE(x) = 1}
This can be read as:
x which is and element of Z such that X is also an element of x which is equal to 1.
∴
[tex]\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\ \mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]
E = {2,4,6,8,10 ....∞}
Derivative Function.. Could you solve this, please?
Hello, please consider the following.
f is differentiable so g is differentiable and we we can compute the derivative of g.
[tex]\text{derivative of } u^2\text{ is } 2uu'\\\\\text{derivative of } f(f(x^3)+x)\text{ is } (3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{So, }\\\\g'(x)=2f(f(x^3)+x)(3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{ We replace x par 1}\\\\g'(1)=2f(f(1)+1)(3f'(1)+1)f'(f(1)+1)\\\\g'(1)=2f(2)(3f'(1)+1)f'(2)\\\\\text{ We can put f'(2) in one part of the equation}\\\\f'(2)=\dfrac{2f(2)(3f'(1)+1)}{g'(1)}=\dfrac{2*5*(3*(-3)+1)}{2}\\\\=5*(-9+1)\\\\=5*(-8)\\\\=\boxed{-40}[/tex]
Thank you.
DUE AT 3:30 PLEASE HHHEEELLLLPPPPPP 100 POINTS IF CORRECT
Alyssa’s extended family is staying at the lake house this weekend for a family reunion. She is in charge of making homemade pancakes for the entire group. The pancake mix requires 2 cups of flour for every 10 pancakes. •Use the value of the ratio to fill in the following two multiplicative comparison statements. 1. The number of pancakes made is ________ times the amount of cups of flour needed. 2. The amount of cups of flour needed is ________ of the number of pancakes made. Question 1 options: Blank # 1 _____ Blank # 2_____
Answer:
1. 5 times
2. 1/5
Step-by-step explanation:
I can explain later if you want, but you seem like you're in a rush so I'll do it later :)
Where does the graph of the line 3x – 4y = 12 intersect the y-axis?
A. (4,0)
B. (-4, 0)
C. (0, 3)
D. (0, -3)
Answer
[0,-3] should be the right answer
The line should intersect at y axis i.e x=0
Then put the value of x as zero in the equation to find the value of y.
3*0-4y=12
-4y=12
y=12/-4=-3
y=-3 ..
HOPE THIS HELPS YOU
A Ferris wheel completes 4 revolutions in 10 minutes. The radius of the Ferris wheel is 40 feet.
What is the linear velocity of the Ferris wheel in inches per second?
Enter your answer, rounded to the nearest tenth, in the box.
Answer:
5.0in/secStep-by-step explanation:
[tex]Circumference = 2\pi r\\\\2 \pi \times 40 ft = 80\pi ft = 253.3274123 ft\\\\= 253.3274123 ft \times 12 \: \frac{inches }{feet} \\\\ = 3015.928947 in\\\\\\10 min = 10 min \times 60 \: sec / min = 600 sec\\\\4 \: revolutions / 10 min = 4 \times 3015.928947\: in / 600 sec \\\\ = 5.0 in/sec[/tex]
The linear velocity of the Ferris wheel is 20.1 inches per secnod.
What is the angular velocity of a rotating body?Suppose the body revolves θ angle in t time then the angular velocity of the body is
ω= θ/t
What is the linear velocity of a rotating body?Suppose the rotating body covers 's' distance in 't' which is actually 'rθ' distance in 't' time because, s=rθ.
Then the linear velocity of the rotating body is
v=s/t=r(θ/t)=r ω
i.e. v=r ω.
How to solve the problem?The speed of the Ferris wheel is given by 4 revs in 10 minutes. That means 4(2π) radians in 10 minutes.
Hence, the angular velocity of the Ferris Wheel is
ω= 8π/(10×60) rad/s= π/(75) rad/s
Hence, the linear velocity of the Ferris Wheel is
v=r ω= 40 Feet ( π/(75) rad/s)
= (12×40π)/(75) inch/s
= 20.1062 inch/s
≈20.1 inch/s (rounded to the nearest tenth)
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s=πrl+πr2 solve for l.
Answer:
[tex]l = \frac{s - π {r}^{2} }{πr} [/tex]Step-by-step explanation:
s = πrl + πr²
First move πr² to the left side of the equation
We have
πrl = s - πr²
Divide both sides by πr to make l stand alone
That's
[tex] \frac{\pi \:rl}{\pi \: r} = \frac{s - \pi \: {r}^{2} }{\pi \: r} [/tex]We have the final answer as
[tex]l = \frac{s - π {r}^{2} }{πr} [/tex]Hope this helps you
The data show the number of hours of television watched per day by a sample of people. Use technology to answer parts (a) and (b) below. a. Find the data set's first, second, and third quartiles. nothing nothing nothing (Type integers or decimals. Do not round.) b. Draw a box-and-whisker plot that represents the data set. Choose the answer below. Note that different technologies will produce slightly different results. A. 0 3 6 9 A boxplot has a horizontal axis labeled from 0 to 10 in increments of 1. Vertical line segments are drawn at the following plotted points: 0, 1, 6, 7, 9. A box encloses the vertical line segments at 1, 6, and 7 and horizontal line segments extend outward from both sides of the box to vertical line segments at 0 and 9. All values are approximate. B. 0 3 6 9 A boxplot has a horizontal axis labeled from 0 to 10 in increments of 1. Vertical line segments are drawn at the following plotted points: 0, 3, 6, 7, 9. A box encloses the vertical line segments at 3, 6, and 7 and horizontal line segments extend outward from both sides of the box to vertical line segments at 0 and 9. All values are approximate. C. 0 3 6 9
*see attachment for the data set given
Answer:
[tex] Q_1 = 2.5 [/tex]
[tex] Q_2 = 5.5 [/tex]
[tex] Q_3 = 8 [/tex]
The box plot is shown in the attachment below.
Step-by-step Explanation:
a. To find Q1, Q2 (median), and Q3, first order the data from the least to the largest. We would have:
0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9
Q2 which is also the median, is the middle value that divides the data set into two equal parts. In the data set given, Q2 is the data value between the 14th and 15th data value. The average of the 14th and the 15th data value would give us Q2.
0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, [5,Q2, 6], 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9
They are 5 and 6. Average = [tex] \frac{5+6}{2} = 5.5 [/tex]
Q1 is the middle value of the lower part of the data set from Q2 down to your left.
0, 1, 1,1, 2, 2, [2, Q1, 3,] 4, 5, 5, 5, 5, 5, Q2, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9
Q1 = average of the 7th and 8th value = [tex] \frac{2+3}{2} = 2.5 [/tex]
Q3 = [tex] \frac{8+8}{2} = 8 [/tex]
0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5,Q2, 6, 6, 7, 7, 7, 8, [8, Q3, 8], 8, 9, 9, 9, 9, 9.
What is construction
Answer:
Consrution is the steps of building buildings or town.
Step-by-step explanation:
CONSTRUCTION IS THE ACT OF MAKING 《OR》BUILDING SOMETHING.......
HOPE IT HELP.......❣❣❣
The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes. Find the probability that a call a. lasts between 5 and 10 minutes. b. lasts more than 7 minutes. c. lasts less than 4 minutes.
Answer: a. 0.6759 b. 0.3752 c. 0.1480
Step-by-step explanation:
Given : The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes
i.e. [tex]\mu = 6.3[/tex] minutes
[tex]\sigma=2.2[/tex] minutes
Let x be the long-distance call length.
a. The probability that a call lasts between 5 and 10 minutes will be :-
[tex]P(5<X<10)=P(\dfrac{5-6.3}{2.2}<\dfrac{X-\mu}{\sigma}>\dfrac{10-6.3}{2.2})\\\\=P(-0.59<Z<1.68)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=P(z<1.68)-(1-P(z<0.59))\\\\=0.9535-(1-0.7224)\ \ \ \ [\text{by z-table}]\\\\=0.6759[/tex]
b. The probability that a call lasts more than 7 minutes. :
[tex]P(X>7)=P(\dfrac{X-\mu}{\sigma}>\dfrac{7-6.3}{2.2})\\\\=P(Z>0.318)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<0.318)\\\\=1-0.6248\ \ \ \ [\text{by z-table}]\\\\=0.3752[/tex]
c. The probability that a call lasts more than 4 minutes. :
[tex]P(X<4)=P(\dfrac{X-\mu}{\sigma}<\dfrac{4-6.3}{2.2})\\\\=P(Z<-1.045)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1.045)\\\\=1-0.8520 \ \ \ [\text{by z-table}]\\\\=0.1480[/tex]