The red light lasts between 2.5 minutes and 3.5 minutes is 95 %. Then the correct option is C.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0. 25 minutes.
In this case, the mean is 3 and the standard deviation is 0.25, We move one space to the right that would represent 3.25 minutes, one more space to the right that is 3.50 minutes. Similarly, we move one space to the left, this would be 2.75, one more space to the left, and the shows 2.50 minutes.
Thus, the correct option is C.
More about the normal distribution link is given below.
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Solve the question please
Answer:
a = 12
b = 9
Step-by-step explanation:
b = 3/4(a)
9 = 3/4(12)
9 = 9
a + b = 21
9 + 12 = 21
------------------------------------
b = 3/4(a)
-16(1/4) = (3/4) ((37(1/4))
-16 (1/4) = 447/16
False
----------------------------------
a + b = 21
20 + 11 = 21
31 = 21
False
--------------------------------
a + b = 21
20 + 15 = 21
35 = 21
False
------------------------------
The only correct one was a = 12; b = 9
I hope this helps!
Please help :( On the coordinate grid shown below, pentagon J is similar to pentagon K.
Which sequence of transformations could be applied to pentagon J to create pentagon K?
A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right
B. a reflection across the x-axis, then a translation 2 units up and 8 units right
C. a rotation 90° clockwise about the origin, then a translation 1 unit down and 5 units right
D. a reflection across the y-axis, then a translation 4 units right
Answer:
A. a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right
The sequence of transformation is "a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right" option (A) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The missing figure is attached to the picture, please refer to the picture.
From the figure we can see the transformation applied on the pentagon is a 90° counterclockwise rotation around the origin, followed by a translation of Three units up and seven right
Thus, the sequence of transformation is "a rotation 90° counterclockwise about the origin, then a translation 3 units up and 7 units right" option (A) is correct.
Learn more about the geometric transformation here:
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What is y + x =56? Please help me!
Answer: y = 50 and x = 6
Step-by-step explanation:
Answer:
y+x=56
y=50
x=6
50+6=56
Hope this helps you
Find the derivative of
[tex]\\ \rm\Rrightarrow y=\dfrac{sinx+cosx}{sinx-cosx}[/tex]
Proper explanation is mandatory
Note:-
Spams/sHort/wrong answers will be deleted on the spot .
Answer:
y' = 1 / sinxcosx
Step-by-step explanation:
Given :
y = sinx + cosx / sinx - cosx
Applying quotient rule :
y' = [(sinx - cosx)(cosx - sinx) - (sinx + cosx)(cosx + sinx)] / (sinx -
cosx)²
y' = [sinxcosx - cos²x - sin²x + sinxcosx - (sinxcosx + cos²x + sin²x + sinxcosx)] / (sinx - cosx)²
y' = 2sinxcosx - 2sinxcosx - 2cos²x - 2sin²x / (sinx -cosx)²
y' = -2(sin²x + cos²x) / (sinx - cosx)²
y' = -2 / (sinx - cosx)²
y' = -2 / sin²x - 2sinxcosx + cos²x
y' = -2 / -2sinxcosx
y' = 1 / sinxcosx [⇒ Final answer]
Answer:
⇒[tex]y'=-\frac{2}{(six-cosx)^{2} }[/tex]
Step-by-step explanation:
⇒Answer in the attachment.
find the perimeter
pls explain with explanation
Answer:
You have to divide the diagram into 3 rectangles and add the cm
Step-by-step explanation:
suppose you have a table-like - diagram and you have to find the perimeter
first, you divide it into 3 rectangles like so.
second, you right 1st rectangle= 1cm,2cm
then continue with this method until done.
third, you add all the measurements and you get the answer
Answer:
The perimeter is 22cm
Step-by-step explanation:
So first we know that the top is 5cm, the two bottom parts are each 1cm, one of the insides is 2cm, and the right side is 4cm. So far that gives us a perimeter of 13cm. Now we need to find the unlabeled sides, so first (and it doesn't matter what side you start with) let's find the left side. Because the shape is symmetrical we can look across at the right side's measurement, and it will be the same measurement for the left side, 4cm. Next the right inside. Again, we can look to the left and we see that the left inside has a measurement of 2 cm, so the right inside will be the same, 2cm. Now for the bottom. We see that the top is 5cm, and if we were to fill in that empty space at the bottom, it would also be 5cm. We know that the two bottom pegs are each 1cm, so they're 2cm combined. If we were to fill in the rectangle, the bottom would equal 5cm. So 5-2 (for the 2cm of the bottom pegs), we get 3cm for that bottom unlabeled part. So if we add 13 to our new numbers 4, 3, and 2, we get a perimeter of 22cm.
Find AC , round all answers to the nearest tenth
Answer:
AC = 14.0
Step-by-step explanation:
We know that this is a non-right triangle, so we must use either the law of sines or law of cosines to find AC.
We can find the measure of <C using 180 - (118 + 22) = 40
Since we only know one side and all the angles, we can use the law of sines: [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]
[tex]\frac{24}{sin 40}=\frac{AC}{sin 22}[/tex]
Solving for AC gives us AC = 13.986826, which we can round to 14.0
28. Suppose an investment doubles in value every 5 years. This is year the
investment is worth $12,480. How much will it be worth 10 years from now? How
much was it worth 5 years ago?
I think the answer is in 10 years from now the investment will be worth 24,960 and five years ago it was worth
MATH HELP! 100 POINTS!
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
_______
_______
#Dotted one
(0,2)(-3,1)Slope
m=1-2/3=-1/-3=1/3Equation in point slope form
y-2=1/3xy=1/3x+2Put (0,0)
0<2So the equation is
y<1/3x+2#Dark one
(0,2)(1,0)Equation in intercept form
x/a+y/b=1x/1+y/2=12x+y=2y=-2x+2Put (0,0)
0<2Equation
y<-2x+2Here is my question please answer my question ASAP
Answer:
Thanks for the points but someone may report and delete it.
Step-by-step explanation:
A raincoat costs $79. 25 today. If a similar raincoat cost $52. 48 in 1983, what is the CPI? a. 166 b. 151 c. 132 d. 127.
The CPI means consumer price index. The CPI is 151. Then the correct option is B.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A raincoat costs $79. 25 today. If a similar raincoat cost $52. 48 in 1983.
CPI is given as
[tex]\rm CPI = \dfrac{Price\ of\ raincoat\ today}{Price\ of\ raincoat\ in\ 1983}*100\\\\ CPI = \dfrac{79.25}{52.47}*100\\\\ CPI = 151[/tex]
More about the percentage link is given below.
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Math Review Please help and show work if Possible so I know what to do
A photographer needs a frame for an 5 x 7 inch picture, such that the total area is 80 in2. Calculate the width of the frame.
(Note: The frame is the same width all the way around)
Which of the following quadratic equations would be used when solving this?
4x^2 + 12x = 45
4x^2 + 24x = 45
2x^2 + 24 = 45
2x^2 + 12x = 45
Answer:
4x^2 + 24x = 45
Step-by-step explanation:
Answer:
4x² + 24x = 45
Step-by-step explanation: mark me brainliest!
”The total area of the frame and picture needed by the photographer = 80 in²The size of the picture that will be in the frame = 5 × 7 inchThe length of the picture = 7 inchesThe width of the picture = 5 inchesLet x represent the width of the frame, we get;
The width of the total area = The width of the picture + 2 ×
The width of the frameTherefore, the width of the total area = 5 + 2·x
The length of the total area =
The length of the picture + 2 ×
The width of the frame
Therefore, the length of the total area = 7 + 2·xWe get;
The total area = Total length × Total width
The total area = (5 + 2·x) × (7 + 2·x)
We are given that the total area = 80, therefore, by transitive property of equality,
we have;(5 + 2·x) × (7 + 2·x) = 8035 + 10·x + 14·x + 4·x² = 804·x² + 24·x = 80 - 35 = 45∴ 4·x² + 24·x = 45
Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.”
What is the product
(4s+2)(5s^2+10s+3)
Answer:
option d
hope it helps you<3please answer this URGENT!! will give brainlisest
Answer:
calculate length of BE is 9
Step-by-step explanation:
because the line which is in between two sides of a triangle is parallel with the third side and it's length equals the half of the third's side length
A goat is tethered by a rope 3. 5 m long. Find the maximum area that the goat can
graze.
Answer
3.5/5
13
author link
anmol7337
Ace
998 answers
648.6K people helped
Answer:mark as brainliest
mark as brainliest answer
The goat will be able to move in a circular manner
Step-by-step explanation:
1_ radius =3.5/2=1.75
then area of a circle is πr²=
=22*1.75*1.75/7=
9.6m²
2- if length is increase to 4.9 m then new radius =2.45
then new area =22*2.45*2.45/7=37.75m
I hope it will help u and please mark as brainliest answer then u will get points
a number is added to 5 and the result is multiplied by one third and gave 27. what is the numeber?
Answer:
76
Step-by-step explanation:
5 + X = Y
Y/ 3 = 27
Substitute Y with 5 + X
(5 + X) / 3 = 27
5 + X = 81
X = 76
Answer:
76
Step-by-step explanation:
let the number be n then added to 5 is 5 + n , so
[tex]\frac{1}{3}[/tex] (5 + n) = 27 ( multiply both sides by 3 to clear the fraction )
5 + n = 81 ( subtract 5 from both sides )
n = 76
the number is 76
The length of the sides of a triangle can be represented by these three expressions: (7/8x + 3/4y) (2y - 1) (4 - 1/2x)
What's the perimeter of the triangle?
Answer:
=(3/8)x+3(3/4)y−(1/3)
Step-by-step explanation:
Perimeter =(7/8)x+(3/4)y+2y−1+y−(1/2)x+(2/
3)
Combining like terms together,
=(7/8)x−(1/2)x+(3/4)y+2y+y−1+(2/3)
=(3/8)x+3(3/4)y−(1/3)
give brainliest.
Mr. Jones bought a cloth of length 3890 cm. How much is the length in m and cm?
Answer:
38m and 90cm
1m = 100cm
3890cm = 38m and 90cm
Step-by-step explanation:
1m = 100cm
3890cm = 38m and 90cm
It is 3890 cm long
1 m = 100cm --> 3890cm = 38.9 meters
Hope that helps!
Write the expression in exponential form, and then evaluate.
2.1 x 2.1 =
Answer:
exponential form = 2.1^2
evaluation = 4.41
Step-by-step explanation:
it is multiplying 2.1 two times, therefore its 2.1^2
hence,
2.1 times 2.1 = 4.41
The table shows the average length in
minutes of professional baseball games in
selected years.
Answer:
See attached image.
Step-by-step explanation:
See the attached image.
Use Microsoft Excel to produce a scatter chart.
The correlation coefficient is -0.12 and the line of the best fit is y = -0.11x + 385.50
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
From the table, the value of r:
r = -0.12
The negative correlation exist between year and time.
Since the value of r is not near the -1 or -1 we can say the relation is very weak.
The line of best fit:
y = mx + c
m = -0.11
c = 385.50
y = -0.11x + 385.50
Thus, the correlation coefficient is -0.12 and the line of the best fit is y = -0.11x + 385.50
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Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown.
What is the volume?
The volume of the shape shown is 105π cm³
What is volume?
Volume is the amount of space occupied by a three dimensional shape and object.
Volume of the cone = (1/3) * π * (6/2)² * 5 = 15π cm³
Volume of the cylinder = π * (6/2)² * (16 - 5 - 6/2) = 72π cm³
Volume of the hemisphere = (2/3)π * (6/2)³ = 18π cm³
Volume of the shape = 15π cm³ + 72π cm³ + 18π cm³ = 105π cm³
The volume of the shape shown is 105π cm³
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Find the length of BC. Round your answer to the nearest whole number.
Answer:
------------------
Step-by-step explanation:
----------------------
Answer:
BC = 5 cm (nearest whole number)
Step-by-step explanation:
Use the sine trig ratio:
[tex]\mathsf{\sin \theta=\dfrac{opposite\ side}{hypotenuse}}[/tex]
Given:
[tex]\theta[/tex] = 22.6°side opposite the angle = ahypotenuse = 13Substituting these values into the sine ratio formula:
[tex]\implies \mathsf{\sin (22.6)=\dfrac{a}{13}}[/tex]
[tex]\implies \mathsf{a=13\sin (22.6)}[/tex]
[tex]\implies \mathsf{a=4.995839195...}[/tex]
Therefore, BC = 5 cm (nearest whole number)
There a 10 apples 5 green ones and 2 red ones how many are golden. 20 points
Answer:
The answer is 3
Step-by-step explanation:
If there is 10 in total
. if there are 5 green apples
. and 2 red apples
there would be 3 golden apples
Problem:. 5 + 2 = 7
. 10 - 7 = 3
golden = 3
May i get brainliest
Answer:
There's 3 gold apples
Step-by-step explanation:
Pls, choose me as brainliest!
help me pleaseeeeeeeeee
Answer:
math po ba yun
Step-by-step explanation:
o sience anong subject yan
Val is driving 25 miles per hour. If Val travels for 3 hours, how far will she travel?
Answer: 75
Step-by-step explanation: Keywords; "driving 25 miles per hour", "travels for 3 hours in total"
To solve this problem we are going to use the rate (r) and time (t) equals distance (d) formula.
d=rt
plug in the numbers into the formula as shown.
d=25 x 3
now solve.
25x3=75
final answer is 75.
hope this helps!
26. A student was asked to find the value of a $2500 item after 4 years. The
item was depreciating at a rate of 20% per year. What is wrong with the student's work?
2500(0.2)
$4
The student's work is wrong because she did not subtract the rate of depreciaton from 100%.
What is the equation that represents the value of the money?Depreciation is when the value of an asset declines with the passage of time.
FV = P (1 - r)^n
FV = Future value P = Present value R = interest rate N = number of years2500 x (1 - 0.20)^4 = 1024
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The answer please help me this is a final
Answer:
i don't know I don't have ideas
Selina and three of her classmates each wrote out the steps for finding an approximate percent change. They all agreed on the first and fourth step:
1. Find the positive difference between the original number and the new number.
2. ________________________
3. ________________________
4. Round the answer if necessary.
They did not agree on steps 2 and 3. Which instructions are correct for steps 2 and 3?
2. Divide the difference by the original number.
3. Multiply the quotient by 100 to change it from a decimal to a percent.
2. Divide the difference by the new number.
3. Multiply the quotient by 100 to change it from a decimal to a percent.
2. Divide the difference by the original number.
3. Multiply the quotient by 10 to change it from a decimal to a percent.
2. Divide the difference by the new number.
3. Multiply the quotient by 10 to change it from a decimal to a percent.
Answer:
2. Divide the difference by the original number.3. Multiply it by 100.
Hope this helps :)
Increase 128 in a ratio 4:5
Answer:
160
Step-by-step explanation:
5/4 × 128 = 160
__
You can write the proportion ...
128 : x = 4 : 5
Then multiplying by 5x gives ...
(128)(5) = 4x
x = (5/4)(128) = 160 . . . . divide by 4 and evaluate
Jackson has some cards – 5 hearts, 2 diamonds and 12 spades. What is the probability of him not picking a diamond card from the stack?
Answer:
17/19
Step-by-step explanation:
Total number of cards - number of diamond card
Total number of cards
5+12+2 - (2)5+12+2
19-219
1719
A golf ball has a diameter of 4.1cm and the surface has 150 dimples of radius 2mm calculate the total surface area which is exposed to the surroundings. Assume the dimples are hemispherical