Find the area of the sector.

he slept for 1/2 of the trip and then slept have the distance that was left so that would be 1/2 divided by 2 equals 1/4 so 1/2 plus 1/4 equals 3/4 so george has 1/4 of his journey left.

George was asleep for 33.3% of the journey.

When George went to sleep, he was halfway through to his grandmother's house which means that he was left with 1/2 of the journey.

When he woke up, he was still left with half of the distance he had slept. If we made this an expression and assume the percentage of the journey he slept was x, it would be:

1/2 of the journey = 1/2x + x

1/2 = 1.5x

x = 1/2 ÷ 1.5

x = 33.3%

George therefore fell asleep for 33% of the journey.

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Answer:

0.0337 = 3.37% probability that a particular death is due to an automobile accident

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that a particular death is due to an automobile accident?

Total of 1008 deaths.

34 resulted from an automobile accident. So

[tex]p = \frac{34}{1008} = 0.0337[/tex]

0.0337 = 3.37% probability that a particular death is due to an automobile accident

Required volume=352π or 1105.84in³

Answer:

solution given.:

radius of outer rim[R]=5in

radius of inner rim[r]=3in

height[h]=22in

we have

volume of Styrofoam collar[V]=volume of cylinder of (outer rim -inner rim)

=πR²h-πr²h=πh(R²-r²)=π×22(5²-3²)=352π or 1105.84in³

Answer:

[tex]y = 4.5x[/tex]

Step-by-step explanation:

Given

The attached table

Required

The table equation

The table shows a linear relationship.

So, we calculate the slope (m) first

Using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) =(2,9)[/tex]

[tex](x_2,y_2) =(6,27)[/tex]

So, we have:

[tex]m = \frac{27 - 9}{6 - 2}[/tex]

[tex]m = \frac{18}{4}[/tex]

[tex]m = 4.5[/tex]

Next, the equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 4.5(x - 2) + 9[/tex]

Open bracket

[tex]y = 4.5x - 9 + 9[/tex]

[tex]y = 4.5x[/tex]

Answer:

50m

Step-by-step explanation:

The triangles are similar, so their sides are in ratio:

BC/BE=AD/ED

j/46=25/23

j=(25/23)(46)=50

Answer:

d. Aaron could have chosen any company because the premiums are all the same.

Step-by-step explanation:

Going by the age of Aaron and the percentages charged by the various company due to smoking, it is safe to conclude that, the premiums are all the same. This could be seen in the table of column and rows which shows the annual insurance premiums (per 1,000 dollars of face value) over a 10 years term. The variation helps to show that, when the premium is evaluated, the are all the same.

Answer:

A

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

34/200=.17

.17×300= 51

Answer:

119400

Step-by-step explanation:

The approximate population of the city was 119400

9514 1404 393

Answer:

  -10

Step-by-step explanation:

The first step is to write what you mean. We think you mean (-1000)^(1/3).

If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...

  -1000 = (-10)^3

Then your expression is ...

  (-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10

__

Some calculators can evaluate this for you (see attached).

Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:

  (-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10

_____

Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.

Answer:

C.

g(x) = -|x|

Step-by-step explanation:

Absolute value vertex. In this case, the vertex for y=−|x|y=-|x| is (0,0)(0,0)

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(−∞,∞)(-∞,∞)

Answer:

19.85 sq ft

Step-by-step explanation:

area of circle with diameter of 5:  A = π(2.5²)  =  7.85

area of triangle:  A = 1/2(4)(6) = 12

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Answer:

1,908.5

Step-by-step explanation:

Add 1900 + 1917 and divide by two

1900+ 1917 = 3817

3817 divided by 2 = 1908.5

Answer:

83

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Hail Hydra

Answer:

Erm.

The game on robl. ox

Or real life?

Breaking out of prison is real life

In robl. ox, its also kinda like that, but you steal things

Step-by-step explanation:

Can I have brainest. Im trying to level up :3

Thanks!

Have a good day!

Answer:

Step-by-step explanation:

B dawn made 45 out of 50 free throws

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

Answer:

18.68 feet

Step-by-step explanation:

- Just did the quiz

- Also plugged it into a calculator I found online

Answer:

18.68 feet

Step-by-step explanation:

it passed the quiz

Answer:

2/11

Step-by-step explanation:

2 3/4 = 11/4

1/2 x 4/11 = 4/22 *when you divide a something by a fraction, you flip that fraction to get its reciprocal*

4/22 simplified is 2/11

Answer:

6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.

2.)  Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.

3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).

4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).

5.) Now, subtract both interquartiles. This should give you your answer (5).

Answer:

137(the exact amount 137.8571428571429)

Step-by-step explanation:

If i did the Whole thing with paper it would take very long i used calculator instead

Answer:

137.857142857

Is the answer

Answer:

268 cm²

Step-by-step explanation:

Surface area = (front + back + left side + right side + top + bottom) areas

since pairs of areas are the same (front back, left rigth, top bottom)

Surface area = (2 · front + 2 · left side  +  2· top) areas

                     = 2 · 11 · 4 + 2 · 11 · 6 + 2 · 4 · 6

                     = 268 cm²

Answer:

The slope is 7

Step-by-step explanation:

The equation is in y=mx+b form

m=the slope

b=y-intercept

Answer:

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

Answer:

45

Step-by-step explanation:

Answer:

The maximum guaranteed waiting time should be of 18.37 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.

This means that [tex]\mu = 15, \sigma = 2.4[/tex]

The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?

The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.405 = \frac{X - 15}{2.4}[/tex]

[tex]X - 15 = 1.405*2.4[/tex]

[tex]X = 18.37[/tex]

The maximum guaranteed waiting time should be of 18.37 minutes.