Answer:
So Sara can fill 24 pint bottles completly with 3 gallons of juice.
Step-by-step explanation:
This question can be solved using a rule of three.
Each pint has 0.125 gallons. How many pints are 3 gallons?
1 pint - 0.125 gallons
x pints - 3 gallons
[tex]0.125x = 3[/tex]
[tex]x = \frac{3}{0.125}[/tex]
[tex]x = 24[/tex]
So Sara can fill 24 pint bottles completly with 3 gallons of juice.
Ryan randomly draws equal sized cards labeled with letters A, B, C, D and F from a hat and records the results in the table. Find the theoretical and experimental probabilities of randomly drawing a card that is labeled with the letter C. Frequency A 36, B 50, C 111, D 59, F 44 total 300
Answer:
We have 5 cards, and if we assume that the probability of selecting a given card at random is the same for all the cards, then the probability of randomly drawing the card C out of the 5 cards is equal to:
P = 1/5 = 0.20
Now, for the experimental probability, we can see that out of 300 draws, 111 times he drew the card C.
The experimental probability is:
Pe = 111/300 = 0.37
You can see that the experimental probability is bigger than the theoretical one, this may happen for two things.
Not enough draws: as the number of draws, we should expect to see that the experimental probability gets closer and closer to the theoretical one.
The cards have some difference: There is a chance that card C has a difference with the other cards, and this difference makes that when Ryan draws a card has a bigger probability of drawing this one.
Complete the solution of the equation. Find the
value of y when x equals o.
6% - 2y = 14
Enter the correct answer
OOD
BONE
Need help please no dumb answers I gotta turn it in in five min help a girl out please
Answer:
boo just search the formula dud
its A though
Solve the problem 5x+(x+6)+3x
what how am I solving do I simplify
What would your life be if you were shrek?
Answer:
No more lonely time
Step-by-step explanation:
I have shriek to keep me company in bed;)
Answer:
- Something unpredictable -
Step-by-step explanation:
I would just scream all day about my appearance
Simplify 3 + 5(x - 4)
Answer:
5x - 17
Step-by-step explanation:
3 + 5x - 20
= 5x - 17
convert the decimal 0.085to a percent
Answer:
8.5%
Step-by-step explanation:
Answer:
8.5%
Step-by-step explanation:
0.085
1: Ignore the 0 and take the numbers that is 85
2: Add a percent
3: Answer is 8.5%
Hope this helps.
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
A. x - 4
D. x + 8
Step-by-step explanation:
To find the two binomial that are factors of the trinomial, you split the middle term into two:
[tex]x^2[/tex] + 4x - 32
[tex]x^2[/tex] - 4x + 8x - 32
Group:
([tex]x^2[/tex] - 4x) (8x - 32)
Take out GCF (Greatest Common Factor):
x(x - 4) 8(x - 4)
(x + 8) (x - 4)
In a Monopoly market, a firm is a price maker since there are no close substitutes to the product. You are asked to find the company's Proft-Maximization point. Fixed Costs remains at $1,000.00. Calculate the revenue, profit (any), and costs on the graph,
Figure 4 shows a container in the shape of an inverted right circular cone which contains some water.
The cone has an internal radius of 2.5 m and a vertical height of 4 m.
At time t seconds, the height of the water is h m, the volume of the water is V m3 and water is modelled as leaking from a hole in the bottom of the container at a rate of h m3 s –1.
see on picture!
Given that the container was initially full of water,
(b) find an equation, in terms of h and t, to model this situation.
(3)
It takes close to 43 minutes for the container to empty.
(c) Use this information to comment on the suitability of this model.
Answer: a) See below; b) 2/5([tex]h^{\frac{5}{2} }[/tex]) = - [tex]\frac{1}{200}[/tex].t + 0.215
Step-by-step explanation:
a) To determine the radius (x) of the volume of water remaining, use proportionality of similar triangles:
[tex]\frac{x}{2.5} = \frac{h}{4}[/tex]
x = 0.625h
Volume is
V = 1/3.π.(0.625h)².h
V = 1/3.π.0.391.h³
Using the chain rule to determine the rate of change of height in function of t:
[tex]\frac{dV}{dt} = \frac{dV}{dh} . \frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = \frac{dV}{dt}/\frac{dV}{dh}[/tex]
[tex]\frac{dh}{dt} =[/tex] (π/512).[tex]\sqrt{h}[/tex] / 0.391.π.h²
[tex]\frac{dh}{dt} =[/tex] (π . [tex]\sqrt{h}[/tex]) / 512.0.391.π.h²
[tex]\frac{dh}{dt} =[/tex] [tex]\frac{h^{\frac{-3}{2} } }{200}[/tex]
[tex]h^{\frac{3}{2} }\frac{dh}{dt}=\frac{-1}{200}[/tex]
b) To find an equation:
[tex]h^{\frac{3}{2} }[/tex] dh = -(1/200) dt
∫ [tex]h^{\frac{3}{2} }[/tex] dh = -1/200 ∫dt
[tex]\frac{2.h^{\frac{5}{2} } }{5}[/tex] = [tex]\frac{-1.t}{200}[/tex] + c
It is known that it takes 43 minutes to empty the cone, so:
0 = [tex]\frac{-1.43}{200}[/tex] + c
c = 0.215
The equation is:
[tex]\frac{2.\sqrt[5]{h^{2}} }{5}[/tex] = [tex]\frac{-t}{200}[/tex] + 0.215
c) The equation shows how height and time are inversely proportional to each other: as time goes up, height goes down. Mathematically, though, time cannot be negative. So, the model is suitable for modeling time and height but is not mathematically correct.
Panat has assets that total $9,500. His liabilities total $1,900. Which expression will find Patrick's net worth?
$9.500-$1.900
$1.900-$9.500
$1.900-$9.500
$9.500-$1.900
Helppp
Answer:
D
Step-by-step explanation:
assets total - liabilities/deductions = net worth
his income is what his net worth it, but liabilities is what you dont have. its what you owe/need to pay/dont own. subtracting these two will give you your real net wroth.
The correct expression to find Patrick's net worth is D: $9,500 - $1,900.
What is the net worth?The difference between an individual's assets and liabilities is described as net worth.
As per the question, Patrick's assets are given as $9,500 and his liabilities are given as $1,900.
To find his net worth, we need to subtract his liabilities from his assets.
Thus, the expression for Patrick's net worth is:
Net worth = Assets - Liabilities
Net worth = $9,500 - $1,900
Net worth = $7,600
Therefore, Patrick's net worth is $7,600.
Learn more about the net worth here :
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8 x
105 is how many times as great as 8 x 10-l?
10 4
10 6
10 -4
10 -6
Answer:
10 6
................
Two Variable Statistics
Scatter Plots and Function Models AND PLEASE ANSWER ALL OF THE PART IF
Answer:
see step by step
Step-by-step explanation:
sorry rough sketch.
Answer:
idk
Step-by-step explanation:
23. A popular brand of AAA batteries has an effective use time of 12.3 hours, on average. A startup company claims that their AAA batteries last longer. The startup company tested 24,000 of their new batteries and computed a mean effective use time of 12.32 hours. Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
It is appropriate to conclude which of the following?
A) The startup company has strong evidence that their AAA batteries last longer, on average.
B) The startup company has moderate evidence that their AAA batteries last longer, on average.
C) The startup company has proved that their AAA batteries last longer, on average.
D) None of the answer choices are correct. With such a large sample size, statistically significant results may not be of any practical importance.
Answer:
Option B
Step-by-step explanation:
Although the difference is quite small (72 seconds—or just over a minute), the effect was statistically significant (P-value < 0.0001).
Since the P-value was less than 0.0001, the null hypothesis in this case can be rejected (H₀: ∪=12.3), concluding that the startup company has moderate/enough evidence that their AAA batteries last longer, on average.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12.3
For the alternative hypothesis,
µ > 12.3
This is a right tailed test.
The decision rule is to accept the null hypothesis if the significance level is lesser than the p value and reject the null hypothesis if the significance level is greater than the p value.
Let us assume a significance level of 0.05.
Since alpha, 0.05 > than the p 0.0001, then we would reject the null hypothesis.
The correct option would be
A) The startup company has strong evidence that their AAA batteries last longer, on average.
Given that f(x) = 5x − 10 and g(x) = x + 3, solve for f(g(x)) when x = −1. (1 point)
−30
0
10
12
Answer:
0
Step-by-step explanation:
Given: f(x) = 5x − 10 and g(x) = x + 3
f(g(x)) = 5(x+3) -10
f(g(x)) = 5x + 15 -10
f(g(x)) = 5x + 5
f(g(-1)) = 5(-1) + 5 (plugging x = -1)
f(g(-1)) = -5 + 5
f(g(-1)) = 0
Subtract: (3x2 - 8x + 3) - (-5x2 + 4x – 5)
Kinda lost, can someone help me.
Answer:
Area: x^2 + 6x
Step-by-step explanation:
1. This figure resembles a parallelogram, with it's dimensions parallel to the point of congruency. Even if it wasn't a parallelogram however, you would get the basic idea of calculating it's area by height * length.
2. Knowing the dimensions to be ( x + 6 ) by x, you can multiply them through algebra as such: x ( x + 6 ) ⇒ x^2 + 6x
3. Answer: x^2 + 6x
What’s the correct answer or this?
Answer:
Height = 35 x sin(55deg) = ~28.7 feet
Answer:
B
Step-by-step explanation:
Sin ∅ =opposite/HYPOTENUSE
Sin 55 =opposite/35
0.82×35=opposite
Opposite=28.7 feet
Charles’s law states that if the pressure of a dry gas is held constant, then the volume V of the gas and its temperature T, measured in degrees Kelvin, satisfy the relationship V=cT, where c is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the volume and the rate of change, with respect to time t, of the temperature?
a) dV/dt = T dc/dt
b) dV/dt = c * dT/dt
c) dV/dT = c
d) 1 = c * dT/dV
Answer:
b) dV/dt = c * dT/dt
Step-by-step explanation:
Differentiating the equation with respect to time, you have ...
V = cT
dV/dt = c·dT/dt . . . . matches choice B
What is the value of sin(A)
Answer:
6/10
Step-by-step explanation:
Determine the range of the following function {(-1,4)(0,6)(7,8)(2,-5)}
A) {-1,4,0,6}
B) {-1,0,7,8}
C) {4,6,8,-5}
D) {7,8,2,-5}
Answer:
C
Step-by-step explanation:
The range of a function is all of the y values of every point. In this case, that is 4, 6, 8, -5 (C). Hope that helps!
Answer:
The answer is C
Step-by-step explanation: 4 and 6 are the medium numbers. -5 and 8 and the lowest and highest nuumbers.
Can you send the integers worksheet question and answer for 6th grade
Find the value of each unknown variable in the given figures ?
10) a. 130
Step-by-step explanation:
[tex]180 - 50 = 130[/tex]
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 52 and a standard deviation of 5. Using the empirical rule, what is the approximate percentage of lightbulb replacement requests numbering between 47 and 52
Answer:
34% of lightbulb replacement requests numbering between 47 and 52
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 52
Standard deviation = 5
Between 47 and 52:
52 is the mean and 47 is one standard deviation below the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.
Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).
So
34% of lightbulb replacement requests numbering between 47 and 52
Solve: 3(x - 6) = -12
Answer:
x=2
Step-by-step explanation:
3*2=6
6-6=0
-12
What is the area of this parallelogram?
6 cm
2 cm
Answer:
12
Step-by-step explanation:
Area= base*height
Area= 6*2
Answer:
12cm
Step-by-step explanation:
hight & Base=6 cm & 2 cm
Formula for area: hight×base=6 cm×2 cm
12cm
A bungee jumper falls 150 feet and rebounds 60 feet. This fall and rebound pattern continues, with each rebound being 40 percent of the distance of the previous fall. How far will the bungee jumper rebound on the fifth rebound?
a.) 1.5 feet
b.) 11.7 feet
c.) 806.7 feet
d.) 1572.0 feet
Answer:A.1.5
Step-by-step explanation:
First rebound. 0.4 * 150= 60
Second rebound. 60 * 0.4=24
Third rebound. 24 * 0.4 = 9.6
Fourth rebound. 9.6 * 0.4= 3.84
Five rebound. 3.84 * 0.4= 1.5
The bungee jumper rebound 1.5 feet on the fifth rebound.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that the a bungee jumper falls 150 feet.
And each rebound is 40 percentage of the distance of the previous fall.
So first rebound;
40% of 150 feet = 150 × 40 / 100
= 60 feet
Second rebound = 40% of 60 feet
= 60 × 40 / 100
= 24 feet
Third rebound = 40% of 24 feet
= 24 × 40 / 100
= 9.6 feet
Forth rebound = 40% of 9.6 feet
= 3.84 feet
Fifth rebound = 40% of 3.84 feet
= 1.5 feet
Therefore, 1.5 feet the bungee jumper rebound on the fifth rebound.
To learn more about the percentage;
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what is 5/8 - 4/7 but simplified? i dont know how to do it
Answer:3/56
Step-by-step explanation:
5/8-4/7
(35-32)/56
3/56
A right triangle has one leg 3 meters long and a hypotenuse 5 meters long. What is the length of the other leg? A. 4 m B. 5 m C. 15 m D. 25 m
Answer:
A
Step-by-step explanation:
Using the Pythagorean Theorem, you can find that the length of the final leg is:
[tex]\sqrt{5^2-3^2}=\sqrt{25-9}=\sqrt{16}=4[/tex]
Therefore, the answer is A. Hope this helps!
What Value if n makes the equation true
1/2(n + 4)=6
N=8
1/2 x (8+4) = 6
1/2 x 12 = 6
