When Anna commutes to work, the amount of time it takes her to arrive is
normally distributed with a mean of 51 minutes and a standard deviation of 5
minutes. Using the empirical rule, determine the interval that represents the
middle 68% of her commute times.

Answers

Answer 1

Answer:

(46,56)

Step-by-step explanation:


Related Questions

Help me with this please!!!!!!

Answers

Answer:

4√6

Step-by-step explanation:

cot60➜4√2/t

➜1/√3=4√2/t

➜t=4√2√3

➜t=4√6

Answer:

[tex]2\sqrt{2}[/tex] = t

Step-by-step explanation:

Sin(30) = t / [tex]4\sqrt{2}[/tex]

Sin(30) * [tex]4\sqrt{2}[/tex] = t

[tex]2\sqrt{2}[/tex] = t

Hope this helps!

whats the length of d

Answers

the length of d is 85
85 is the correct answer

An athlete eats 65 g of protein per day while training. How much protein will she eat during 15 days of training?

Answers

I think it’s 975 I’m sorry if I’m wrong but I just multiplied 65 with 15 days since she eats 65 during 15 days

Simplifique:
a) 0,027^1/3
b)16^1/25
c)4^0,5
d)27^0,333...

Answers

Answer:

a) 0.3.

b) 1.117287138  to  9 dec. places.

d)3.

Step-by-step explanation:

a and d: the powers 1/3 and 0.333... is  the cube root.

c: 0.5 = the square root.

b is found using a calculator

At a fixed interest rate, an investment of $4000 earns $210. How much do you need to invest at the same rate to earn $336?

Answers

Answer:

what they said^

Step-by-step explanation:

GIVING BRAINLIEST PLZ HELP

Answers

Answer:

Sebastian

Step-by-step explanation:

PLS HELP :(
Find the volume of the cone, round your answer to the nearest tenth. Use 3.14 for
7.
3
5
units

Answers

Answer: 47.1

Step-by-step explanation:

1/3πr^2h

=1/3×π×32×5

=15π

= 47.123889803847 feet3

The answer is going to be 47.1

Please help! I will give Brainliest!
Who is correct?

Answers

Irving is correct! A triangle is unique if the two shorter segments is "less than or equal to" the third segment.
4.5+8.5=13 which is less than 14.

note: Could you do me a favor and mark me as brainiest, that would really help motivate me to help out more people in the future. Thanks! ☺️ <3

Eddie built the ramp shown to train his puppy to do tricks. What is the surface area of the ramp. The dimensions are 20,20,20,23,25,25,15

Answers

Answer:

3775 in²

Step-by-step explanation:

The surface area of the ramp :

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 20 * 23 = 460 in²

Area of rectangle = 25 * 23 = 575 in²

Bottom rectangle = 60 * 23 = 1380 in²

For the trapezium: (front and rear)

1/2 (base 1 + base 2) * height

Base total = 20+ 20+ 20= 60

1/2(60)*15 = 450 in²

Total surface Area :

(460 + 460 + 575 + 1380 + 450 + 450) in² = 3775 in²

One fourth of a square pizza is 9 slices solve the equation 1/4s =9 to find how many slices are in the pizza. PLZ help

Answers

Answer: There is a total of 36 slices of pizza.

Suppose that to make the golf team you need to score no more than 85 on average over 5 games. If you scored 82, 91, 79, and 85 in your first 4 games what is the highest score you can shoot in your 5th game and still make the team?

Answers

Answer:

88

Step-by-step explanation:

(82+91+79+85+s) ÷ 5 ≤ 85

(337 + s) ÷ 5 ≤ 85

cross-multiply to get:

337 + s ≤ 85(5)

337 + x ≤ 425

x ≤ 425 - 337

x ≤ 88

At the Hardey Fitness Center, the management did a survey of their membership. The average age of the female members was 40 years old. The average age of the male members was 25 years old. The average age of the entire membership was 30 years old. What is the ratio of the female to male members? Express your answer as a common fraction.

Answers

Answer:

5 / 8

Step-by-step explanation:

Given :

Average age of male = 25

Average age of female = 40

Average age of entire membership = 30

The ratio of female to male students :

Male students : Female students

25 : 40

5 : 8

5/8

PLEASE HELP


I am quite confused

Answers

Im guessing it’s letter B
I actually believe it’s A because you have the smaller number in front for both equations

Circle
Pls help
Due soonnnnnnn

Answers

Answer:

First we solve the radius and then we use the formula for finding the equation of circle.

Xavier needs to bike a minimum of 90 miles this week for his training. If he has already biked 18 miles this week, then how many miles should he bike on each of the 6 remaining days this week?​

Answers

Answer:

It's 12.

Step-by-step explanation:

90-18=72

72/6 =12

Let AB = 24, AC = 10 and BC = 26.

a) What is the length of the leg opposite to ∠C?

b) What is the length of the leg adjacent to ∠C?

c) What is sin C?

d) What is cos C?

e) What is tan C?

Answers

Answer:

a) 24

b) 10

c) 12/13

d) 5/13

e) 12/5

Step-by-step explanation:

a) We can see that the leg opposite <C is AB, and we are given AB = 24

b) We can see the leg adjacent to <C is AC, and we are given that AC = 10

c) The trig function sine is equal to

[tex]\frac{opposite}{hypotenuse}[/tex]

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

[tex]sin(c) = \frac{24}{26} = \frac{12}{13}[/tex]

d)The trig function cosine is equal to

[tex]\frac{adjacent}{hypotenuse}[/tex]

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

[tex]cos(c) = \frac{10}{26} = \frac{5}{13}[/tex]

d)The trig function tangent is equal to

[tex]\frac{opposite}{adjacent}[/tex]

The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

[tex]tan(c) = \frac{24}{10} = \frac{12}{5}[/tex]

The height of a diver above the water is given by the quadratic function h(t)= -5t^2+5t+10, with t in seconds and h(t) meters. When will the diver reac maximun height

Answers

Answer:

0.5 seconds

Step-by-step explanation:

Equation: h(t) = -5t²+5t=10

Where h(t) is in meter, t is in seconds.

The driver will reach maximum height when d[h(t)]/d(t) = 0

From the equation,

d[h(t)]/d(t) = -10t+5

Therefore,

-10t+5 = 0

Solve for t

-10t = -5

10t = 5

t = 5/10

t = 0.5 seconds.

Hence the height will be maximum in 0.5 seconds.

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?

Answers

Given:

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).

To find:

The y-coordinate of the midpoint of line segment YZ.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:

[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]

[tex]Midpoint=\left(2,-1\right)[/tex]

Therefore, the y-coordinate of the midpoint of line segment YZ is -1.

A skateboarder goes off of a ramp at a speed of 52 ft./s. The ramp is 5 ft. above the ground with a 30°

angle of elevation. Which set of parametric equations represents the skater's jump? The acceleration due

to gravity is 32 ft/s^2.

Answers

The set of parametric equations representing the skater's jump is:

x = 52t

y = 5 + 16t²

We have,

Let's denote the time as t.

Horizontal motion:

The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:

x = vt

where v is the horizontal velocity, which in this case is 52 ft/s.

Vertical motion:

The vertical position (y) can be determined using the equations of motion under constant acceleration.

The skateboarder experiences acceleration due to gravity (g) acting downward.

The initial vertical position is 5 ft, and the initial vertical velocity is

0 ft/s.

Using the equation of motion:

[tex]y = y_0 + vy_0t + 0.5gt^2[/tex]

Substituting the given values:

y = 5 + 0t + 0.5(32)t²

y = 5 + 16t²

Thus,

The set of parametric equations representing the skater's jump is:

x = 52t

y = 5 + 16t²

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ4

A hockey player takes 150 shots each week. Sixty percent of these shots go in. How many shots do NOT go in?

Answers

60 percent of 150 is 90. So that means 60 shots do not go in.

If your car gets 22 miles per gallon of gasoline, how far
could you drive if your car has 10 gallons of gas in it?

Answers

I think no = 589.6 miles is how far you can go if your vehicle contains 22 gallons of gas and your vehicle gets 26.8 miles per gallon.

Find the value of x in the triangle shown below

Answers

Where is the triangle? Pls help

a ramp measures 6 feet long. if the ramp is 12 inches tall, what is the horizontal distance it covers? i'll give brainliest to whoever answers first/correctly!

Answers

we know that

1 ft--------> is equals to 12 in

the ramp is 12 inches tall----------> 1 ft tall

A ramp measures------------------>  6 ft long

applying the Pythagorean theorem

c²=a²+b²

where

c-----> 6 ft long

a----> horizontal distance

b-----> 1 ft tall

a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft

the answer is

5.92 ft

Answer:

6.08 or so

Step-by-step explanation:

The height is 1 foot, while the length is 6 feet.

You can use the Pythagorean Theorum to solve this, as you plug in the values.

The theorum states that A squared plus B squared = C squared, where A is  the length, and B is the width. (It doesn't matter if A is the width and B is the length either.)

So if we plug in the values:

1 squared plus 6 squared = C squared.

1 + 36 = 37

Since it is C squared, we can find the square root of 37, which is something like 6.0827625302982196889996842452021.

So usually we round to the hundredths place, so we can use 6.08.

Ivan and Teresa each opened a savings account today. Ivan opened his account with a starting amount of $320, and he is going to put in 585 per month
Teresa opened her account with a starting amount of $820, and she is going to put in $35 per month
Let x be the number of months after today.

Answers

Answer:After Ivan puts in $585 each month in just one monthes it would be a total of $905 dollers. After Teresa puts $820  in her new bank account  she puts in $35 per month just one month she has $940 In her bank account.

Step-by-step explanation: Sorry if it is wrong

61, 21, 80, 46, 37, 70, 59, 65, 46, 39, 17, 87, 3, 10 Calculating the Mean, Median, Mode and Range of Data

Answers

Answer:

Mean: 45.8 (rounded to the tenth place)

Median: 46

Mode: 46

Range: 84

Step-by-step explanation:

Solve to get the value of h

Answers

the answer to the question is h=64 degrees
H=64 degrees :)))))))))))))))))))))



Solve for t.
3t- 2 = -11
A. -12
B. -11
C. -9
D.-3

Answers

Answer:

T = -3

Step-by-step explanation:

No explanation needed ...

Please help serious answers only

Answers

Answer:

[tex](-9.5,2.63)[/tex]

Step-by-step explanation:

In essence, this problem asks one to find the vertex of the given equation. An easy way to find the vertex of a quadratic equation in standard form is to complete the square.

Completeting the square involves grouping the quadratic and linear term, then factoring out the coefficient of the quadratic term. After doing so, one will add a term to make the grouped terms a perfect square trinomial and then balance the equation. Finally, one will simplify the equation and get the quadratic equation in vertex form. From there, finding vertex is quite easy, the x-coordinate is the additive inverse of the quadratic term, and the y-coordinate is the constant.

Once a quadratic equation in standard form has been converted to vertex form by the process of completing the square, its equation is amongst the lines of the following,

[tex]a(x-k)^2+h[/tex]

(k, h) is the vertex of the parabola.

The quadratic equation in standard form,

[tex]2x^2+19x+42.5[/tex]

Group the quadratic and linear terms,

[tex](2x^2+19x)+42.5[/tex]

Factor out the coefficient of the quadratic term,

[tex]2(x^2+9.5x)+42.5[/tex]

Add a term to make the grouped part a perfect square trinomial, then balance the equation,

[tex]2(x^2+9.5x+22.5625)+42.5-2(22.5625)[/tex]

Simplify,

[tex]2(x^2+9.5x+22.5626)+42.5-45.125[/tex]

[tex]2(x+9.5)^2+2.625[/tex]

The vertex of the equation is the following,

[tex](-9.5,2.625)[/tex]

Rounded,

[tex](-9.5,2.63)[/tex]

135 miles in 3 hours is miles in 1 hour.

Answers

Answer:

45 miles in 1 hour

Step-by-step explanation:

135/3 = 45

45 miles in 1 hour

Laura is walking for a local charity She earns 75 cents for every lap she walks How much does she earn for walking 50 laps

Answers

Answer:

She earns $ 37.5  by walking 50 laps

Step-by-step explanation:

This method is called unitary method.

If we know the value of 1 unit of an item we can calculate any number of units of item.

For 1 lap she earns 75 cents.

She walks 50 laps.

She earns for 50 laps = 50*75= 3750 cents

Now we have to converts cents into Dollars for convenience.

1$ = 100 cents

3750 /100 = $ 37.5

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