The amusement park employees who attend college have an average of 24 hours of homework per week, but we cannot conclude anything about the percent of the population who have homework.
What is the valid conclusion?The survey was to determine the average number of hours per week for employees that attended college. The result was that college students had an average of 24 hours of homework per week.
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Answer:
the last
answer
Step-by-step explanation:
I need help on my work or I get 0 percent
Answer:
B and E
Step-by-step explanation:
E is 3/4 8 times (this is just simple multiplication) and B is 3/4 8 times just shorter. Simplified if you will.
Liz records the amount of rainfall in her backyard. It rained 3/8 inch for 4 days in a row.
Which shows the amount of rainfall after 4 days?
A : 1 4/8
B : 1 5/8
C : 1 6/8
D : 1 7/8
1. Jill bikes 15 miles in the morning and 17 miles in the afternoon. How many miles does she bike in all? Equation: miles 7 | Lesson 1
Add the two together:
15 + 17 = 32
total miles = 32
A shop sells pairs of trainers for £68 each. They make a percentage profit of 70% on each pair.
What was the cost of each pair of trainers to the shop?
Answer:
47.6 euros
Step-by-step explanation:
68 x .70 = 47.6
.70 = 70%
70% of 68
of means multiply
You turn the percent into a decimal and multiply
find the greatest factor of 29g5h4 19g3h5
Answer:
gh1
Step-by-step explanation:
19 is prime and 29 is not divisible by 19 therefore 1g is the highest. 5 and 3 are both prime so again, 1h and finally, 5 is a prime number so gh1 is the greatest factor
Find the product. Simplify your answer.
(2w–1)(4w–2)
Answer:
8w² -8w +2
Step-by-step explanation:
(2w-1)(4w-2)
= 8w² -4w -4w + 2
= 8w² -8w +2
The cost of 5 dozen pencils is rs 300.Find the cost of 7 dozen pencils.
5 dozen = 300
so
1 dozen = 300 : 5 = 60
so
x 7 = rs 420
Answer:
Rs 420
Explanation:
5 dozen pencils → Rs 300Find the cost of each dozen pencils
1 dozen pencils → Rs 60Then multiply by 7
7 dozen pencils → Rs (60 * 7)Final answer:
7 dozen pencils → Rs 420Find the measures of the interior angles that maximize the area of an isosceles trapezoid
where the length of the non-parallel sides are each 4 inches and the length the shorter of
the two bases is 6 inches.
The measure of the angle that would maximize the area of this isosceles trapezoid is equal to 0.4395 rad.
Given the following data:
Base length = 6 inches.Sides length = 4 inches.How to calculate the area of a trapezium.Mathematically, the area of a trapezium is given by this formula:
A = ½ × (a + b) × h
A = ½ × (12 + 2l) × h
A = h(6 + l)
Next, we would derive a mathematical expression for A in terms of h as follows;
Let l = 4sinθ Let h = 4cosθA = (6 + 4sin(θ)) × 4cosθ
In order to determine the value of θ for which the area of this isosceles trapezoid is maximized, we would differentiate the area (A) with respect to angle (θ):
Note: sin²θ + cos²θ = 1 ⇒ cos²θ = 1 - sin²θ.
[tex]\frac{dA}{d\theta} =16 cos^{2} \theta - 4sin \theta(6+4sin \theta)\\\\\frac{dA}{d\theta} = 16 cos^{2} \theta - 16 sin^{2} \theta - 24sin\theta\\\\\frac{dA}{d\theta} =16(1-sin^{2} \theta)- 16 sin^{2} \theta - 24sin\theta\\\\\frac{dA}{d\theta} = - 32 sin^{2} \theta - 24sin\theta+16\\\\32 sin^{2} \theta + 24sin\theta-16=0[/tex]
Next, we would use the quadratic formula to solve for the value of sinθ.
Mathematically, the quadratic formula is given by this equation:
[tex]sin\theta = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
a = 32.b = 24.c = -16.Substituting the parameters into the formula, we have;
[tex]sin\theta = \frac{-24\; \pm\; \sqrt{24^2 - 4(32)(-16)}}{2(32)}\\\\sin\theta = \frac{-24\; \pm\; \sqrt{2624}}{64}\\\\sin\theta = \frac{-24\; \pm\; 51.23}{64}\\\\sin\theta = \frac{-24\;+\; 51.23}{64}\\\\sin\theta = \frac{27.23}{64}\\\\sin\theta = 0.4255\\\\\theta = sin^{-1}(0.4255)[/tex]
θ = 0.4395 rad.
Note: We would only consider the positive value of the quadratic root.
For the obtuse interior angles of the trapezoid, we have [tex](\frac{\pi}{2} +0.4395)[/tex]
Similarly, the measure of the acute interior angles of the trapezoid is [tex](\frac{\pi}{2} -0.4395)[/tex]
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If a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 6 tails?
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]The\ probability\ of\ tails\ per\ flip\ is\ \frac{1}{2}[/tex]
[tex]so\ the\ probability\ of\ getting\ six[/tex]
[tex]tails\ is[/tex]
[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}[/tex]
[tex]The\ probability\ of\ getting\ tails\ every[/tex]
[tex]time\ you\ multiply\ them\ is\ the[/tex]
[tex]probobility\ of\ getting\ tails\ all\ six[/tex]
[tex]times?[/tex]
I hope this helps you
:)
. A particle moves on a line away from its initial position so that after t seconds its distance is s = 3t^2+tmeters from its initial position. (a) At what time does the particle have a velocity of 25 m/s? (b) Is the acceleration ever 0? Why or why/not? Explain your answer
pls solve and explain fast
Answer:
The velocity of this particle is [tex]25\; {\rm m \cdot s^{-1}}[/tex] at [tex]t = 4\; {\rm s}[/tex].
Acceleration is constantly [tex]6\; {\rm m\cdot s^{-2}}[/tex] (and thus is never [tex]0[/tex].)
Step-by-step explanation:
The distance between the particle and the initial position is the displacement of this particle. Let [tex]x(t)[/tex] denote the displacement (in meters) of this particle at time [tex]t[/tex] (in seconds.) The question states that [tex]x(t) = 3\, t^{2} + t[/tex].
Differentiate displacement [tex]x(t)[/tex] with respect to time [tex]t[/tex] to find the velocity [tex]v(t)[/tex] (in [tex]{\rm m \cdot s^{-1}}[/tex]) of this particle:
[tex]\begin{aligned}v(t) &= \frac{d}{d t}\left[x(t)\right] \\ &= \frac{d}{d t}\left[3\, t^{2} + t\right] \\ &= 6\, t + 1 \end{aligned}[/tex].
Set velocity to [tex]25\; {\rm m\cdot s^{-1}}[/tex] and solve for time [tex]t[/tex] (in seconds):
[tex]v(t) = 25[/tex].
[tex]6\, t + 1 = 25[/tex].
[tex]t = 4[/tex].
Thus, the velocity of this particle is [tex]25\; {\rm m \cdot s^{-1}}[/tex] at [tex]t = 4\; {\rm s}[/tex].
Differentiate velocity [tex]v(t)[/tex] with respect to time [tex]t[/tex] to find the acceleration (in [tex]{\rm m\cdot s^{-2}}[/tex]) of this particle:
[tex]\begin{aligned}a(t) &= \frac{d}{d t}\left[v(t)\right] \\ &= \frac{d}{d t}\left[6\, t + 1\right] \\ &= 6\end{aligned}[/tex].
In other words, the acceleration of this particle is constantly equal to [tex]6\; {\rm m\cdot s^{-2}}[/tex]. Hence, the acceleration of this particle is never [tex]0[/tex].
Simplify 1/4 (8m - 4n) + 1/3 (6m + 3n).
Caleb placed 3 yellow balls and 4 red balls in a row.
How many visually distinct rows are possible?
A)210
B)70
C)144
D)35
Answer:
I think it's C)144. because I think it's C
Caleb placed 3 yellow balls and 4 red balls in a row. The possible visually distinct rows are 144.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
It is given that Caleb placed 3 yellow balls and 4 red balls in a row.
So, visually distinct rows are possible
= 4 x 3 x 2 x 3 x 2
= 144
Thus, The possible rows are 144.
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f(x) = -x^2 + 6x - 10
Sketch the graph of each function.
(Please show work, I don’t understand).
Answer:
The graph would not be as able to see the form and/or function so hope this helps
The lengths of the legs of a right triangle are 4 and 5. What is the length
of the hypotenuse
Answer:
[tex] \sqrt{41} [/tex]
Step-by-step explanation:
[tex]let \: the \: hypothenuse =\: x \\ by \: pythagoras \: theorem \\ x {}^{2} = 4 {}^{2} + 5 {}^{2} \\ x {}^{2} = 16 + 25 \\ x {}^{2} = 41 \\ sqare \: root \: bothsides \\( \sqrt{x}) {}^{2} = \sqrt{41} \\ x = \sqrt{41} \\ lenght \: of \: the \: hypothenus = \sqrt{41} [/tex]
An insurance policy sells for $800. Based on past data, an average of 1 in 50 policyholders will file a $15,000 claim, an average of 1 in 100 policyholders will file a
$30,000 claim, and an average of 1 in 400 policyholders will file a $70,000 claim. Find the expected value (to the company) per policy sold. If the company sells 20,000policies, what is the expected profit or loss?
The expected value is $____
The profit is $_____
Answer:
The expected value is $375
The profit is $6,500,000
Step-by-step explanation:
Amount of claim:15000, 30000, 70000
Probability:1/100, 1/200, 1/400
So the expected value of the claim is:
15000 × (1/100) + 30000 × (1/200) + 70000 × (1/400) = 475
Given that an insurance policy sells for $800 and the expected value of the claim is $475.
So, the expected value of the companies profit is = $(800 – 475) = $325.
If the company sells 20,000 policies then the expected profit is = $(20000 × 325) = $6,500,000
Thus, The expected value (to the company) per policy sold is $375 and the expected profit is $6,500,000.
-TheUnknownScientist 72
If y varies inversely as x, and y=16 when x=4, find y when x=10
Answer:
40
Step-by-step explanation:
you have to multiply x by 4 to get y when x=4 and y=16. so if x=10, then you have to multiply what x is (10) by 4 because there is a common ratio.
hope this helps!! please give brainliest!!!!!!
Answer: people in the US will spend____ billion dollars on statins in 2016
Answer:
38.5
Step-by-step explanation:
The equation says
S - 1.8x = 6.1, where x is the amount of years after 1998.
2016 is 18 years after 1998.
S - 1.8*18 = 6.1
S= 32.4 + 6.1
S= 38.5
A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers?
Answer:
D.)25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275
Step-by-step explanation:
A team t-shirt costs $3 per adult and $2 per child.
Let the number of children be = c
Let the number of adults be = a
A team t-shirt costs $3 per adult that is 3a and $2 per child that is 2c, also given is that the total money collected is $275, so equation becomes:
On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, equation becomes:
Now to know the number of children and adult, we can check by plugging in the values from options provided.
25 children and 75 adults = 25(2)+75(3)=50+225 =275
there were 63 fewer pears than apples in the supermarket. After 37 pears were sold, how many fewer pears than apples ?
Step-by-step explanation:
63/37 = 1.702 = 1.7
#Ihopethishleps
I need lateral surface
Answer:
un rhgdb tennis felicidades ID remix estoy do do ID do ID Rockband do ID do TX
find the area of the blue shaded region
Answer:
160 cm²
Step-by-step explanation:
Hello!
We can find the area of the blue shaded. region by finding the area of the rectangle, and subtracting the area of the triangle.
Area of rectangle:
Find the area of the rectangle
A = Base x HeightA = 10 x 20A = 200The units are cm so the area is 200 cm²
Area Triangle:
Find the area of the triangle
A = 0.5( Base x Height)A = 0.5(10 * 8)A = 0.5(80)A = 40The units are cm so our area is 40 cm²
Area Shaded:
Now we can simply subtract the triangle area from the rectangle.
200 cm² - 40 cm²160 cm²$1 = £0.73. Change $346 into £
Answer:
£252.58
Step-by-step explanation:
$346 × £0.73/$1 = £252.58
Please rate!! I hope this helps!!
A rectangular room measures 18 ft by 37 ft. How many
square feet of tile are needed to cover the floor?
Step-by-step explanation:
the area of a rectangle is length × width.
in our case
37 × 18 = 666 ft²
so, we need 666 ft² of tiles.
Answer:
666 square feet
Step-by-step explanation:
To find the number of square feet of tile, we need to find the area:
A = L × W
A = 18 × 37
A = 666 ft²
Help me pwes I need it.
Answer:
1/10
when you do the LCM you get 70
divide each fraction by 70 and you will get the least to be a tenth
PLSSSS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
Answer:
150 minutes
Step-by-step explanation:
Total plants are 16 and only 5 can be placed in one go. so total number of rounds for the plants will be: 16/5 = 3.2 rounds
As there are 3.2 rounds to go in 8 hours, so the time for 1 round will be: 8/3.2= 2 hours and 30 minutes
Answer:
150 minutes
Step-by-step explanation:
16/5 = 3.2 turns
8 hours /3.2 turns = 2.5 hours (150 minutes)
Graph a quadratic function with a vertex at (2, -3) with a = 3.
Answer:
bottom one
Step-by-step explanation:
use (x , y)
the top one is -3,2
the bottom one is 2,-3
This graph represents function of y = 3(x−2)²-3.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
The vertex form of parabola :
y=a(x−h)²+k
(h,k)is the vertex of the parabola, and
Substitute vertex(2,-3), into equation
y = a(x−2)²-3
Substitute a = 3 into equation
y = 3(x−2)²-3
Here is a graph of the y = 3(x−2)²-3
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Larry is reroofing his house. Each side of the roof measures 14 feet from the eave to the ridge. The horizontal distance between the eaves is
20 feet.
x
14 feet
14 feet
20 feet
The measure of the angle between the two sides of the roof is approximately
Reset
Next
Answer:
91.2°
Step-by-step explanation:
There are several ways to find the a.pex angle of an isosceles triangle with all side lengths given. One of them is using the Law of Cosines:
c² = a² +b² -2ab·cos(C)
Solving for the angle C, we find ...
C = arccos((a² +b² -c²)/(2ab))
__
Here, we have a=b=14 and c=20. The angle is ...
C = arccos((14² +14² -20²)/(2·14·14)) = arccos(-8/392)
C ≈ 91.16938°
The interior angle at the peak of the roof is about 91.2°.
if g = 6x-9 and x = 15 what is g
Answer:
g= 81
Step-by-step explanation:
Replace X with 15
g = 6x -9
g = 6(15) - 9
g = 90 - 9
g = 81
Step-by-step explanation:
g=6x-9
putting the value of x
g=6×15-9
g=81
the present ages of a father and his son are 40 years and 8 years respectively how many years ago the product of their ages was 105
Answer:
5 years ago
Step-by-step explanation:
5 years ago, they were 35 years old and 3 years old. 35*3=105.
A chocolatier makes chocolate covered cherries in the form of spheres. Amelia
measures the outer diameter of these chocolates to be 2.8 cm. If she measures the
thickness of the chocolate to be 0.5 cm, how much chocolate is used in one of the
chocolate covered cherries? Round your answer to the nearest hundredth if
necessary. (Note: diagram is not drawn to scale.)
The volume of the chocolate is the amount of choclate used in the cherries
The amount of chocolate used is 17.24 cubic centimeters
How to determine the amoumt of chocolate?Start by calculating the volume of the cherries using:
V = 4/3 π(D/2)^3
The diameter of the cherry is 2.8 cm.
So, we have:
V = 4/3π(2.8/2)^3
Evaluate
V = 11.49
Next, calculate the volume of the cherry and the chocolate.
V = 4/3π(0.5+2.8/2)^3
V = 28.73
Calculate the difference (d) between both volumes
d = 28.73 - 11.49
d = 17.24
Hence, the amount of chocolate used is 17.24 cubic centimeters
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