Answer:
13ft a second it's just a an average it the feet divided by the time by 2
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.
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
Complete 8,9 for 5-8 points.
Step-by-step explanation:
8. Let's call the number x. We can set up the equation -3x - 5 = -10. Adding 5 to both sides, we have -3x = -5, and when we divide both sides by -3, we have x = 5/3.
9. Again, we'll call the number x. The equation is 2x - 3 = -13. We can write -3 instead of +(-3) because adding a negative number is the same as subtracting. Adding 3 to both sides, we have 2x = -10, and dividing bu -2, we have x = -5. Hope this helps!
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 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
Compute 90, 91, 92, 93, 94, and 95. 90 = 1 91 = 9 92 = 81 93 = 729 94 = 6561 95 = 59049 Make a conjecture about the units digit of 9n, where n is a positive integer. If n is even, the units digit of 9n is 1 . If n is odd, the units digit of 9n is 9 . Use strong mathematical induction to prove your conjecture. Submit your proof as a free response. (Submit a file with a maximum size of 1 MB.)
Answer:
Step-by-step explanation:
First we compute [tex]9^n[/tex], for [tex]n = 0,1,2,3,4,5[/tex]
[tex]9^0=1,9^1=9,9^2=81,9^3=729,9^4=6561,9^5=59049[/tex]
We have the unit digit of [tex]9^n[/tex], is either 1 or 9
Therefore, the conjecture can be state as follows
Conjecture; the unit of digit of [tex]9^n[/tex], is 1, when n is even and 9 when n is odd
Let the property p(n) be the formula;
"The unit digit of [tex]9^n[/tex], is 1 when n is even and 9 when n is odd"↔ P(n)
To show p(n) is true , we will use strong mathematical inductive
Show tgat p(0) and p(1) are true
We have to show the unit digit of [tex]9^0[/tex] is 1 and [tex]9^1[/tex] is 9
Since any integer with zero power is one and hence
[tex]9^0=1[/tex] and [tex]9^1 = 9[/tex]
Therefore, p(0) and p(1) are true
Show that for al integer [tex]k\geq 1[/tex], if p(i) is true for all integer i from o through k, then p(k+1) is also true
let k be any integer with [tex]k \geq 1[/tex] and suppose that for all integer i with [tex]0 \leq i \leq \leq k[/tex]
the unit digit of [tex]9^i[/tex] is 1 when is even and 9 when n is odd
we must show that [tex]9^{k +1}[/tex] equals 1 when n is even and 9 when n is odd
Case I; (k +1 is odd)
in this case k is even and so, by inductive hypothesis, the unit digit of [tex]9^k[/tex] is 1 and hence there is some non negative integer q such that
[tex]9^k = 10q + 1[/tex]
now, [tex]9^{k+1}=9^k(9)[/tex]
= (10q + 1)9
= 90q + 9
= 10.9q + 9
Note that for any non negative integer q , 9q is also an integer and this implies the unit digit of [tex]9^{k+1}[/tex] is 9
Case II
(k +1 is even)
in this case k is odd and so, by inductive hypothesis, the unit digit of [tex]9^k[/tex] is 9 and hence there is some non negative integer q such that
[tex]9^k=10q+9[/tex]
Now,
[tex]9^{k+1}=9^k.9\\=(10q+9)9\\=90q+81\\=10(9q+8)+1[/tex]
Note that any non negative integer q, 9q + 8 is also an integer and this implies the unit of [tex]9^{k+1}[/tex] is 1
Since we have proved both the basis and the inductive step of the strong mathematical induction, we conclude that the given statement is true
Simplify 3 + 5(x - 4)
Answer:
5x - 17
Step-by-step explanation:
3 + 5x - 20
= 5x - 17
Solve: 3(x - 6) = -12
Answer:
x=2
Step-by-step explanation:
3*2=6
6-6=0
-12
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,
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)
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 :
https://brainly.com/question/17199792
#SPJ5
If a 3 ft tall globe casts a 1 ft long shadow, then how tall is an adult giraffe that casts a 6 ft shadow?
Answer:
it has to be 18
Step-by-step explanation:
because 3 to 1 so 6 just multiply 3 by 6
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
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.
What is the value of sin(A)
Answer:
6/10
Step-by-step explanation:
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:
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
What is the area, in square units, of a rectangle with a length of 3/7 and a width of 2/9?
Answer:24
Step-by-step explanation:
fdgwgwrgwg
Please open the image and help me
1.
Looks like
[tex]y=2\sqrt[3]{x}+\dfrac1{x^2}+\pi[/tex]
Write [tex]\sqrt[3]{x}[/tex] as a fractional power, [tex]x^{1/3}[/tex]. This makes it more obvious that the power rule should be used here.
[tex]y'=(2x^{1/3})'+(x^{-2})'+\pi'[/tex]
[tex]y'=\dfrac23x^{-2/3}-2x^{-3}[/tex]
[tex]y'=\dfrac2{3\sqrt[3]{x^2}}-\dfrac2{x^3}[/tex]
2.
[tex]y=(\sin(2x)+\tan(3x))^e[/tex]
Power and chain rule:
[tex]y'=\left((\sin(2x)+\tan(3x))^e\right)'[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\sin(2x)+\tan(3x))'[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\cos(2x)(2x)'+\sec^2(3x)(3x)')[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(2\cos(2x)+3\sec^2(3x))[/tex]
Can you send the integers worksheet question and answer for 6th grade
Complete the solution of the equation. Find the
value of y when x equals o.
6% - 2y = 14
Enter the correct answer
OOD
BONE
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.
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 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!
Find the value of each unknown variable in the given figures ?
10) a. 130
Step-by-step explanation:
[tex]180 - 50 = 130[/tex]
Subtract: (3x2 - 8x + 3) - (-5x2 + 4x – 5)
The cost for a pack of 9 padlock is $25.20 find the unit price in dollars per padlock if necessary round your answer to the nearest cent.
Answer:
2.80
Step-by-step explanation:
Take the cost and divide by the number of padlocks
25.20/9
2.80
Each padlock costs 2.80
Answer:
$2.80
Step-by-step explanation:
25.20 is the total price, and there are 9 padlocks, so to get the price of each padlock, divide 25.20 by 9
25.20/9=2.8
write your answer in dollars: $2.80
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.
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
