When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times

Answers

Answer 1

Answer:

(34, 48)

Step-by-step explanation:

According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean.  That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:

41 - 7 < mean < 41 + 7, or

34 < mean < 48, or simply (34, 48)


Related Questions

PLEASEE HELP ME FAST

Answers

Answer:

Step-by-step explanation:

2/3 ÷ 1/3

=2/3 × 3/1 (recipracol)

=6/3

=2

Answer:

2 and [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

when you divide by a fraction you just multiply by its reciprocal

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3} * \frac{3}{1}[/tex]

then just solve

[tex]\frac{6}{3}=2[/tex]

for the second one do the same thing

[tex]\frac{4}{5} * \frac{2}{1} =\frac{8}{5}[/tex]

X-15>-20
Please help first answer gets brainliest

Answers

Answer:

x > -5

Step-by-step explanation:

hope this helps :)

Answer:

x>-5

Step-by-step explanation:

X-15>-20

Add 15 to both sides;

x-15+15=>-20+15

simplify

x>-5

Hope this helped!

Helped by none other than the #QUEEN herself  aka # DrippQueenMo

In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?​

Answers

Answer:

120 gold is in the alloy

Step-by-step explanation:

G:S

6:4

6+4=10

200/10=20

20*6=120

Hope this helps!

Select the correct answer.
Which statement describes the end behavior of the function f(x) = 3|x − 7| − 7?

A.
As x approaches negative infinity, f(x) approaches negative infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches positive infinity, f(x) is no longer continuous.

Answers

Answer:

answer is B..as x approaches negative infinity,f(x) approaches positive infinity.

Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?

Answers

Answer:

470.81 or 470.815

Step-by-step explanation:

Which of the following is a rational number? square root 97square root 98, square root 99, square root 100 square root 97 square root 98 square root 99 square root 100

Answers

I think it would be the square root of 100

Answer:

100 feet

Step-by-step explanation:

I did the test hope it helps a lot have a good day

a+b=8
3a - 45=3

And is it good for the elimination method

Answers

Answer: a is 16, b is -8

Step-by-step explanation:

3a-45=3

add 45 to both sides to get rid of -45

3a=48

divide both sides by 3

a = 16

plug 16 into the first equation

16 + b = 8

subtract 16 from both sides

b = -8

is it good for the elimination method? hmm i probably wouldn't use it in this case since there aren't any variables to cancel out.

ill give brainliest

Length = 11

Width = 4

Height = 7

What is the vloume?

What is the surface area?​

Answers

Answer:

volume = 308 units^3

surface area = 298 units^2

Which of the following are equivalent to the expression 9/4(1.75−2 1/4)?

Answers

Answer: -1 1/8 (Decimal: -1.125)

Select the TWO numbers that are solutions to the equation x2 = 49.
A. 49
B. 7
C. -49
D. 2
E. -7

Answers

Answer:

x = ±7

x=7, -7

Step-by-step explanation:

x^2 = 49

Take the square root of each side

sqrt(x^2) = sqrt(49(

x = ±7

What is the area, measured in square meters, of the parallelogram shown?
Round to the nearest tenth, if necessary.

Answers

Answer:

A = (11 m)(4.33 m) = 47.6 m^2

Step-by-step explanation:

The width of this parallelogram is (5 m)(sin 60 degrees), or approximately 4.33.  This is the length of the dashed line shown.

The area of this parallelogram is A = (length)(width), which here is:

A = (11 m)(4.33 m) = 47.6 m^2

Answer:

55

Step-by-step explanation:

i think

The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.

Answers

Answer:

x = 12°

Step-by-step explanation:

The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.

The sum of the exterior angles of a polygon sums up to 360

An hexagon is a 6 - sided polygon

(x + 2x + 5x + 6x + 7x + 9x) = 360

30x = 360

Divide both sides by 30

x = 360 / 30

x = 12

Hence, x = 12°

Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?​

Answers

Answer:

Yes, he can buy it for $350 or less

Step-by-step explanation:

330.00 x 4.5%

330.00 x 0.045 = 14.85

330.00 + 14.85 = 344.85

or

330.00 x 1.045  = 344.85

Plsss help will mark brainliest

Answers

Answer:

27. 18.62

28. 200%

29. 136

30. 50

31. 12.5%

32. 750

33. 5.4

Step-by-step explanation:

is
5x^2y^3z^5
a polynomial
explain

Answers

Answer:

no

Step-by-step explanation:

A polynomial is a combination of terms separated by  +  or  −  signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

no it is not a polynomial

You have $5.60 to buy avocados for a guacamole recipe. Avocados cost $1.40 each.

Answers

Answer:

You could buy 4 avacodos with how much money you have :)

You can buy 4 avocados

Can any of these get round to the Nearest tenth

Answers

Answer:

They both can First=1,885 second=628.3

Step-by-step explanation:

Answer:

Yes, I belive so. For the first one (1.884.95592), you have to round them starting with the lowest place number and work your way up.

A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?​

Answers

Answer:

18.86 m

Step-by-step explanation:

From the given question, both covers the same distance of the straight line segment.

For the inner lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                   = 30 x [tex]\frac{22}{7}[/tex]

                                   = 94.2857

So that,

the total length for the two halves of the inner lane = 2 x 94.2857

                                                                  = 188.5714 m

For the outer lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                                 = 33 x [tex]\frac{22}{7}[/tex]

                                                 = 103.7143

The total length for the two halves of the outer lane = 2 x 103.7143

                                                                  = 207.4286 m

The difference between the two = 207.4286 - 188.5714

                                                       = 18.8572 m

Therefore, Devin would run 18.86 m more to complete one lap.

please help, need help asap!

Answers

The correct answer is letter C

What is an equation of the line that passes through the points (-4,-2)
and (8,1)?

Answers

Answer:

y=0.25x-1

Step-by-step explanation:

y=mx+b

slope = 0.25

y = 0.25x+b

the y intercept = -1

y = 0.25x+-1

y = 0.25x-1

Plz help me solve and show your work.

Answers

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

23 points!!!!!!

If the first 2 sides of a triangle are 6 cm and 4 cm, which of the following are possibilities for the other side? Choose all that apply.


2.5 cm


2 cm


1 cm


4 cm

Answers

Answer:

2.5cm and 4cm

Step-by-step explanation:

According to Triangle Inequality Property:

Measurement of any two sides of the triangle should be greater than the third side

So,

For 2.5,

6 + 4 = 10 > 2.5

4 + 2.5 = 6.5 > 6

6 + 2.5 = 8.5 > 4

For 4,

6 + 4 = 10 > 4

4 + 6 = 10 > 4

4 + 4 = 8 > 6

While for 1 and 2,

4 + 1 = 5 < 6

and

4 + 2 = 6 = 6

Hence,

Only 2.5 and 4 are the possible measurements.

please help with this question?!?

Answers

Answer:

416 mi

Step-by-step explanation:

In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.

Remember to find the area it is length x width

9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottomLastly for the last 2 squares to find the area you multiply 8 x 8 = 64In total, you will add 72+72+72+72+64+64 which equals 416

yo can someone help me with this? (Links = report)

Answers

Answer:

2

Step-by-step explanation:

12.6 divided by pi= 4.01

sqaure root of 4 is 2

Which set of ordered pairs represents y as a function of x?
O {(1,5), (2,5), (3,4), (1,4)}
O {(7,8), 6,2), (3,2), (6,7)}
{(0,9), (2,8), (3,5), (1,8)}
o {(7,3), (2,6), (1,4), (2,8)}

Answers

Answer:

(2,8), (3,5),

Step-by-step explanation:

a number increased by 8 is 21 help

Answers

Answer:

the number is 13

Step-by-step explanation:

13+8=21

Answer:I think it means that a number plus 8 is 21? or possibly multiplied?

Step-by-step explanation:

42 - 35 = 8 - 12 + t
What does t mean?

Answers

I think t = 11:
42 - 35 = 8 - 12 + t
7 = 8 - 12 + t
7 = -4 + t
7 + 4 = t
11 = t

Im sorry if this is wrong

I need help on this I’ll report if a link

Answers

Answer:

72.5°

Step-by-step explanation:

180° is a straight line. Subtract 35° from 180°, you get 145°, now divide 145° by 2, you will get 72.5°.

Hope this helped.

The sum of all angles is 360

we have one angle given which is 35 degrees the angle infront of it is also the same as opposite angles are always equal

so x= 35

for y as said earlier opposite angels are equal so the empty 2 angles are also y

so now we have

[tex]4y+35+35=360\\4y+70=360\\4y=290\\y= 72.5[/tex]

so y=72.5 degrees

pls help help help help help help ​

Answers

Answer:

-89

Step-by-step explanation:

-89

-89= 10(-7) - 19   ----------->  -70 - 19

232.7449 rounded to the nearest whole number? please help​

Answers

Answer:

233

Step-by-step explanation:

Look at the tenths place. It is above 5 so you round to 233,

Answer:

233

Step-by-step explanation:

Simple, 7 is closer to 10 than 0, round up to 233.

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