Question 1

2 pts

(09.05)

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. Approximately what percent of red lights last between

2.5 and 3.5 minutes? (2 points)

32%

68%

Answers

Answer 1

Answer: The percent of red lights last between  2.5 and 3.5 minutes = 95.44% approx.

Step-by-step explanation:

Given: Mean time = 3 minutes

standard deviation = 0.25 minutes

The probability of red lights last between  2.5 and 3.5 minutes :-

[tex]P(2.5<x<3.5)\\\\=P(\dfrac{2.5-3}{0.25}<\dfrac{x-\mu}{\sigma}<\dfrac{3.5-3}{0.25})\\\\=P(-2<z<2)\\\\=2P(Z<2)-1\\\\=2(0.9772)-1\\\\=0.9544[/tex]

The percent of red lights last between  2.5 and 3.5 minutes = 95.44% approx.


Related Questions

Evaluate x^2, when x is 1/2

Answers

Answer:

1/4

Step-by-step explanation:

1/2*1/2

−6(4a +3) Multiply the polynomial below

Answers

Answer:

[tex] - 6(4a + 3) \\ =( - 6 \times 4a) + ( - 6 \times 3) \\ = - 24a - 18 \\ [/tex]

Step-by-step explanation:

-6(4a+3)

(-6×4a) (-6×3)

-24a-18

Tell how many solutions each one has

Answers

Answer:

Step-by-step explanation:

1) 3(x + 2 ) +4  = 31

3*x + 2*3 + 4 = 31

3x + 6 + 4 = 31

  3x + 10   = 31           {Subtract 10 from both sides}

          3x = 31 - 10

         3x = 21        {divide both sides by 3}

          x = 21/3

x = 7

This equation has one solution

2) 3x + 1 = 3x + 9

Subtract 3x form both sides

3x + 1 -3x = 3x + 9 - 3x

1 ≠ 9

There is no solution for this equation.

3) 2x - 4 = 2x -4

This equation has many solution

which of the following could be factored by grouping?
a. wy+wz+xy-xz
b. wy+yz-wx+yz
c. wy+wz+xy+xz
d. wx+wz-wy+wv

Answers

Answer:

wy+wz+xy+xz

Step-by-step explanation:

C.) wy+wz+xy+xz  could be factored by grouping.

What is factorization by grouping?

Method of factorization by grouping the terms:

(i) From the groups of the given expression a factor can be taken out from each group.

(ii) Factorize each group.

(iii) Now take out the factor common to group formed.

= wy + wz + xy + xz

= w(y+z) + x(y+z)

= (w+x)(y+z)

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#SPJ2

The diagram below shows the dimensions of two identical rectangular prisms joined together. What is the combined volume of the two prisms?

Answers

Answer:

5x11=55x10=550meters:)

Step-by-step explanation:

the area of the circle is 314 sq centimeters what's the circumference

Answers

Answer:

62.82

Step-by-step explanation:

C=2πA=2·π314≈62.81592cm

Answer:

c=62.82 cm

Step-by-step explanation:

A=pir^2

C=2pir

C=2sqrt(piA)=2sqrt(pi×314)=62.81592 cm

What is
as a percent?
20%
35%
6%
60%

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

When measuring volume of a cone, if the line goes all the way across the base, define this current value (what is the term for that line) and how do I identify the value of what to input into the formula? ​

Answers

Answer: the line across the circle is the diameter, you find diameter by multpyling radius by two

Step-by-step explanation:

The expression (x^22) (x^7)^3 is equivalent to x^p. What is the value of p?

Answers

Answer:

x^87

Step-by-step explanation:

Multiplying x^22 and x^7 results in x^29.

Then we have:

(x^29)^3 = x^87

Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)

The table below represents an exponential function of the form y = ab^x

1a. Complete the table.
1b. Determine the corresponding rule.

Answers

1=63

3=163

4=325

I hope this answered your question

How was y'all day :)?

Answers

Except it’s 1 am it was pretty cool

Given: Circle k(O), diameter US , m RU=50°, m UT=30° Find: m∠RUS, m∠UST

**WILL GIVE BRANLIEST**

Answers

Applying the inscribed angle theorem, the missing angles are:

m∠RUS = 65°m∠UST = 15°

What is the Inscribed Angles Theorem?

Based on the inscribed angle theorem, we have the following relationships:

Inscribed angle = 1/2(measure of intercepted arc)Central angle = measure of intercepted arc.

Given the following:

m(RU) = 50°m(UT) = 30°

Find m(RS):

m(RS) = 180 - m(RU)

Substitute

m(RS) = 180 - 50

m(RS) = 130°

Find m∠RUS:

m∠RUS = 1/2(m(RS) [inscribed angle theorem]

Substitute

m∠RUS = 1/2(130)

m∠RUS = 65°

Find m∠UST:

m∠UST = 1/2(m(UT))

Substitute

m∠UST = 1/2(30)

m∠UST = 15°

Learn more about the inscribed angle theorem on:

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. If three angle of a quadrilateral are in the ratio 2: 3: 5 and fourth angle is 130
find the angles​

Answers

Total ratio = 2 + 3 + 5 = 10
Sum of angles in a quadrilateral is 360
4th angle = 130
360 - 130 = 230
Sum of remaining 3 angles must be equal to 230
1st angle 2/10 * 230 = 46
2nd angle 3/10 * 230 = 69
3rd angle 5/10 * 230 = 115
Adding all angles together 46 + 69 +115 + 130 = 360

Answe

[tex]\huge\mathfrak\red{hello} \\ \\ sorry \: again[/tex]

A coin will be tossed 100 times. You get to pick 11 numbers. If the number of heads turns out to equal one of your 11 numbers, you win a dollar.

Which 11 numbers should you pick, and what is your chance (approximately) of winning? Explain.

Answers

Answer:

Numbers:

45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55

Chance:

68.27%

What is the average of 62 and 126

Answers

Answer:

94

Step-by-step explanation:

I asked alexa

what is the equation of the line that passes through the point (-6,3) and has a slope of -1/6

Answers

Answer:

y = -1/6x + 2

Step-by-step explanation:

y = -1/6x + b

3 = -1/6(-6) + b

3 = 1 + b

2 = b

Write the number in standard form 2.7. x 10^-4

Answers

Answer:

2.7 x 10^-4 = 0.00027

Step-by-step explanation:

This equation is already in standard form. So if you're looking for the answer, there it is.

The graph of line p represents = x-1. If the slope of line p is multiplied by (-10)
to create liner, which statement about the graphs of the two lines is true?
A
Line r intersects line p.
B Line ris parallel to line 2.
CLine ris 10 units above line p.
D
Line ris 10 units below line p.

Answers

Answer:

A. Line r intersects line p

Step-by-step explanation:

to find the second graph multiply the slope of line p by -10

slope is 1/5 or 0.2

So,

0.2 * -10 = -2

slope of second line is -2

Graph shown

Altered line shown in blue

Line p shown in green

As you can see, they intersect and meet no other answers

Find the surface area of the prism.

Answers

Answer:

108

Step-by-step explanation:

triangles of the sides 3×4=12

5×8=40

4×8=32

3×8=24

add everything

Equation of the line pls helppp

Answers

Answer:

y = 4/5x + 1

Step-by-step explanation:

used points (0,1) and (5,5) to find slope of 4/5

Simplify the following equation:

Answers

Answer:

D

Step-by-step explanation:

The Answer Is Just D. Don't Ask Me How Just Trust Me It's D. Sorry I Can't Give An Explanation! I Not That Smarts. But It Is D! Have A Good Day!


Question 2 (1 point)
drawing a vowel from letter tiles that spell out MATHEMATICS
chance
Blank 1:
Blank 2:

Answers

Answer:

3/ 8 ; 3/8

Step-by-step explanation:

MATHEMATICS

vowels in mathematics = (A, E, I)

letters in mathematics = (M, A, T, H, E, I, C, S)

Probability = required outcome / Total possible outcomes

Required outcome = vowels in mathematics = 3

Total possible outcomes = letters in mathematics = 8

Probability of drawing a vowel letter tiles = 3/8

2.)

Spinner division :

Red = 4 ; white =2 ; green = 1 ; blue = 1

Total divisions = 8

Probability (landing on blue) = number of blue / total

P(landing on blue) = 1 / 8

P(landing on white) = 2/ 8 = 1/4

P(landing on blue or white) = 1/8 + 2/8 = 3/8

Belinda is a wedding planner who wants to help couples determine how many people to invite to their wedding. She collects data on hundreds of weddings and finds that you can predict the number of guests based on the total number of immediate family members (parents, siblings, children) of the couple. The equation for doing so is: (Guests)-hat = 38.28 + 15.47 (Family Members)

What is the best prediction for the number of guests a couple with a total of 12 family members? (Do not round your answer)

Answers

Answer:

53.75.. I didn't round it either

Step-by-step explanation:

Have nice day/night :)

PLEASE HELP I WILL MARK BRAINLIEST!!! :)

Answers

Answer:

John would be 69 in.

Step-by-step explanation:

Maria must choose a number between 55 and 101 that is a multiple 4,8 of and 12 . Write all the numbers that she could choose. If there is more than one number, separate them with commas.

Answers

Answer:

they mean numbers that 4,8 12 can go into and there between 55 and 100 answers: 60,72,80,96,100

7. Find f(9) when f(x) = 12 (17 – 3x) *​

Answers

Answer:

-120

Step-by-step explanation:

Angle ACB = 74º What is the size of angle ABC?

Answers

Answer:

[tex]assume \: its \: is \: a \: right \: angled \: triangle \\ < ABC + < ACB + 90 \degree = 180 \degree \\< ABC = 180 \degree - (74 + 90)\degree \\ < ABC = 16\degree[/tex]

For which function k does the output increase by 20% every time the input increases by 1?​

Answers

Answer:

k(x) = 1.20^x

Step-by-step explanation:

Here, we want to get a function

The output in this case refers to k(x)

the input refers to the value x

So, for every 1 increase in x, we want k(x) to increase by 20%

20% is same as 20/100 = 0.2

So at an initial value of 1, each increase if 20% will be 0.2 + 1 = 1.2

So therefore, we have the function as;

k(x) = 1.20^x

find the value of x please ​

Answers

Answer:

it should be 47 because of (3x-4)

Step-by-step explanation:

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Answers

d=diameter ;r=radius
answer: i put both just in case
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