Answer:
235.65 cm^2s-1
Step-by-step explanation:
We have that;
Rate of change of area (dA/dt) = (dA/dr) (dr/dt) By chain rule
Note that dr/dt = rate of change of radius
But
A = πr^2
dA/dr = 2πr
dr/dt = 2.5cm s-1 (given)
So;
dA/dt = 2πr * 2.5cm s-1
r = 15cm (given)
dA/dt = 2 * 3.142 * 15cm * 2.5cm s-1
dA/dt = 235.65 cm^2s-1
A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that less than 7, but more than 4 bulbs from the sample are defective
Answer:
0.04845
Step-by-step explanation:
Probability that less than 7 but more than 4 bulbs from the sample are defective :
P(4 < X < 7) = P(x = 5) + P(x = 6)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
From the question :
p = 0.2 ; 1 - p = 0.8 ; n = 11
P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876
P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969
P(4 < X < 7) = P(x = 5) + P(x = 6)
P(4 < X < 7) = 0.03876 + 0.00969
P(4 < X < 7) = 0.04845
Which of these graphs represents a function ?
Answer:
Graph C
Step-by-step explanation:
Find the explicit form of the arithmetic function of p if the first term is 12 and the common difference is 2. Then find the seventh term.
Answer:
1st
Step-by-step explanation:
Helpppppppppppppooopp
Answer:
I can't see clearly
Step-by-step explanation:
What is the area of the following figure in square inches?
Answer, Alright the formula for a Rectangle is (A = bh) so ill do ( 13 x 8 ) = 104. Next ill do the triangle 19 - 13 is 6 which is the height of the triangle. The formula for a triangle is ( 1/2bh ) so lets do (6 x 8 ) which is 48 now lets divide it by 2...24.
24 + 104 = 128
Step-by-step explanation:
First, I split the Square from the Traingle
Second, I did base times height which equaled (104)
Third, I found the area of the triangle by base times height divided by 2.(24)
Lastly, I added the figures up which equaled 128
Write the additive inverse and multiplicative inverse of 3-7i?
Step-by-step explanation:
additive inverse means multiplying 3-7i by it's conjugate which would be
(3-7i)(3+7i)=3^2+7^2=9+49=58
the multiplicative inverse of a number z is 1/z
1/(3-7i)
multiply numerator and denominator by 3-7i's conjugate and it equals 58
(3-7i)/58
3/58-7/58i
Hope that helps :)
are these correct???
Answer:
They are all correct.
Step-by-step explanation:
1.
1/2(b)(h)
1/2(4)(6)
1/2(24)
12
2. l x w
7 x 5
35
3. (b)(h)
(8)(4)
32
Will you explain it
Answer:
there is literally nothing in the picture
Answer:
it's a black screen sized 200x200
help pls ! need it asap
Answer:
m∠X = 110°
m∠V = 60°
Step-by-step explanation:
1.) Angle Y and W are equal from the markers, which means the angles are equal
35*2 = 70
180 - 70 = 110 ( You know it has to be greater than 90 because it's larger than a corner angle)
2.) This is another isosceles (equal angle and sides)
Some times all sides aren't equal on isosceles but you can see these are
180/3 = 60°
Omlll, I'm actually stuck rn xD If anyone can help,i'd appreciate it so much!! Tyssmm!!!!!
Answer: it’s acute
Step-by-step explanation:
the second one lollollol
which is a correct step when using the median fit method for modeling data?
Use the median value of intercepts found
Calculate slope using the right and middle points
Determine three y intercepts by using each summary point along with the slope.
Determine the median of the x values and the median of the y values.
When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.
What is the median fit method?This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.
As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.
Find out more on the median fit method at https://brainly.com/question/23298464.
#SPJ2
Answer: C
Step-by-step explanation:
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
Evaluate f^-2 g for f = 3 and g = 27.
a) 9
b) 1/3
c) 3
(3)^-2 (27)
the answer is C) 3
Find the measure of <4.
{
44
158°
{
44 = [?]
Answer:
<4 = 22
Step-by-step explanation:
<4 = x
x + 158 = 180
x = 22
Same side interior angles are supplementary
<4+158=180<4=180-158<4=22°A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?
Answer:
$6510
Step-by-step explanation:
First thing that should come to mind is: What is 7% of $7000?
Well, if you don't know how to find a percent of something, this is the formula you use:
7000 x 0.07 = 490.
In the first year, they will receive 490 out of the 7000 they've invested.
7000 - 490 = 6510.
Therefore, the account balance at the end of the first year will be 6510.
The account balance at the end of first year will be equal to $6510.
What do you mean by percentage ?
Percentage is the relative value indicating one hundredth part of any quantity.
It is given that a retiree invests $7000 in a savings plan which pays 7% per year. So , it meant that we need to calculate that what is the value 7% of $7000.
So , 7% of $7000 is :
= 7000 × [tex]\frac{7}{100}[/tex]
= $490
It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.
So , the account balance at the end of first year will be :
= 7000 - 490
= $6510
Therefore , the account balance at the end of first year will be equal to $6510.
Learn more about percentage here :
brainly.com/question/22091903
#SPJ2
Anyone else been saved by brainly?
Answer:
Yes, many times actually. I've aced tests because of brainly
Step-by-step explanation:
Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
Step-by-step explanation:
what makes 1/3 x > 12 true
Answer:
I dont know I am sorry I really had to ask a question and i don't have enough points so sorry you can report me if you want but I really need some
Math 3rd grade can anyone explain why is 48 ?? I thought that we need to plus 6 top 6 bottom and each side is 8 why 8 because 6+2 is 8
So 6+6+8+8 = 24
Answer:
It's 48
Step-by-step explanation:
The entire area of the rectangle would be length times width
The width is six, and the length is 8
6 times 8 is 48
btw, its asking for area
Answer:
See, its divided into TWO squares/rectangles.
you have to solve with the numbers you have on each one.
so, for the covered in shade one, you do 6 times 2, which is 12.
for the "not covered" you need to find the second number for the square. Since it has equal sides, the other side will be 6.
for that one you do 6 times 6 which is 36.
now you add both of them.
36 + 12= 48.
You added them, you need to multiply them but do not mix both rectangles/ squares numbers until the end
please help!! Area of Trapezoids and Triangles
Answer: Area of the shape is 168 ft.
Step-by-step explanation: Split the shape into 2 shapes: A rectangle and a triangle.
Area of the rectangle shape is 144 and the area of the triangle is 24. Add them and you get 168.
(-6, -7) and (3,-4)
Pleaseee helppppppp
Answer:
y = x/3 - 5
Step-by-step explanation:
Answer:
y = (1/3)x - 5 .
Step-by-step explanation:
(-6 , -7) ; (3 ,-4)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]
m = 1/3 ; (3,-4)
y - y1 = m(x - x1)
[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]
Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable
Answer:
20
Step-by-step explanation:
fw3f2f3sf a
Someone actually help me w this ☝
Answer
Sorry If this is not correct, but I believe you keep the X varriable the same and multiply the Y varriable by 4. This means it will move to the right on the grid.
New coordinates: G(3,4) T(1,4) B(3, 20)
What is the range of y=4sin(x)-2
Answer:
According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.
Step-by-step explanation:
1) Solve 2 + 7x + 12 = 0 using factoring and the zero product property.
a) Factor2+7x+12
b) Use the zero product property to solve for x
b) Use the zero product property to solve for x
Answer:
7x+14=0, 7x=-14, x= -2
Step-by-step explanation:
add like terms, then get x on one side, number on the other, then divide both sides by 7
Tristian has 35 rock songs, 50 dance songs and 15 rap songs on his play list. If his music player randomly selects a song, what is the probability that it is a dance song?
Answer:
1/2
Step-by-step explanation:
35+50+15 = 100
probability of the dance song = 50/100 = 1/2
Answer:50%
Step-by-step explanation:
35+15+50=100
50 divided by 100 is 0.5 or you can do it as a fraction and get 50/100
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 431 grams with a variance of 144. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 434[/tex]
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu < 434[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that [tex]\mu = 434[/tex]
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that [tex]X = 431, n = 9, \sigma = \sqrt{144} = 12[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}[/tex]
[tex]z = -0.75[/tex]
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
I need some help! I would really appreciate it!
Answer:
answer is A
Step-by-step explanation:
slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig
Tell whether b=6 is a solution of 8b=48
Answer:
b= 6 for sure
Step-by-step explanation:
CAn someone help me plsss
13.76
Divide 27.52 by 2 to get 13.76
Select all numbers that have and absolute value of 0.6
