the diameter of a sphere is 15 inches. what is the volume of the sphere?

Answer: 11:00

Step-by-step explanation:

Answer: 11:00

Step-by-step explanation:

Answer:

24a²b

Step-by-step explanation:

Answer:

24a^2b

Step-by-step explanation:

3a*2a*4b

6a^2*4b

24a^2b

Answer:

(a) The probability that more than three arrive in one hour is approximately 0.018988

(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264

(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours

Step-by-step explanation:

The distribution of the arrival time of a small aircraft = Exponential distribution

The mean arrival time, μ = 1 hour

The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)

The mean, μ = 1/λ

∴ 1 = 1/λ

λ = 1 hour

∴ For the exponential distribution, f(x) = 1·e^(-x)

(a) The Poisson probability is given as follows;

[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]

The probability for more than 3 is given as follows;

[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]

(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264

(c) When the probability that no arrival occurs is 0.1, we have;

0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)

-x·ln(e) = ln(0.1)

∴ x = -㏑(0.1) ≈ 2.30259

The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.

Answer: 0.79

Step-by-step explanation: for example 79 is less than 80.

Answer:

y = 1/2x+1

Step-by-step explanation:

Slope = Δy/Δx

The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.

Slope-intercept form: y=mx+b

We take point (0,1) and input into this equation.

1= 1/2×0 +b

1 = b

Answer: B) 2(x+4)

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

a line perpendicular to the give formula has a reciprocal slope and it's sign is changed also.

then m = -1/3 for our perpendicular line

y - 1 = -1/3(x -6)

y -1 = -1/3x + 2

y = -1/3x +3

there you go  :)

Answer:

cosA = 8/17

Step-by-step explanation:

cos =  adjacent/hypotenuse

The number that is adjacent to angle A is 24 and the hypotenuse is 51

Plug the numbers into the cosine equation, which would look like:

Cos A = 24/51

You can simplify the fraction by dividing it by 3

So Cos A = 8/17 or 0.89130173...

Answer:

6 meters

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is always greater than the length of the third side. And this MUST be true for all the combinations

The only length where this is true is 6

3+5 is greater than 6

2+6 is greater than 5

5+6 is greater than 3

Answer:

20/35

Step-by-step explanation:

The framed wall art Modern is 20 and the total is 35  so unless you have to simplify this should be the answer

Answer: x=-3 can you mark me brainlyest thanks

Step-by-step explanation:

3(x-6)=2x(x+3)

3x-18=3x+6x

3x-18=9x

-3x      -3x

-18=6x

__   __

6      6

x=-3

Hope it helps you! ........

Answer:

True

Step-by-step explanation:

(21+5) >1

Simplify 21+5

26>1

Therefore the solution is

True

Helped by none other than the #Queen herself #DRIPPQUEENMO

Answer:

1) 0.04, 3.6

2) 0.35, 49

Step-by-step explanation:

Answer:

1. 90x0.04= 3.6

2. 140x0.35=49

Step-by-step explanation:

convert to decimal to calculate the percent.

Answer:

Step-by-step explanation:

I believe the first question is 1.9

second: 48.2

sorry didn't understand the third one :(

Answer:

3 exams

Step-by-step explanation:

[tex]2 \times \frac{1}{4} = \frac{9}{4} [/tex]

[tex] \frac{9}{4} \div 34 = \frac{3}{1} [/tex]

3/1 = 3

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The formula for dividing fractions.

= a/b ÷ c/d

= ad/bc

The number of subjects studied for the exam is 3 subjects

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

On Saturday:

The number of hours Kiana studied = 2 ¼ hours

This can be written as,

= 2 (1/4)

= 9/4 hours _____(A)

The number of hours studied for each subject.

= ¾ hour ______(B)

The formula for dividing fractions.

= a/b ÷ c/d

= ad/bc

Now,

From (A) and (B) we get,

The number of subjects.

= 9/4 ÷ 3/4

= (9 x 4) / (4 x 3)

= 3 subjects

Thus,

The number of subjects studied for the exam is 3 subjects

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Answer:

22

Step-by-step explanation:

Add al the digits (198) then divide by how many digits there are (9)

198÷9=22

Answer:

.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because i see it xD but like > 15 mean you going to the left soooo and u got to satrt at 15

Answer:

a ≤ −4 or a ≥ 8

Step-by-step explanation:

Hope This Helps!

Answer:

Length of the second base will be 12 meters.

Step-by-step explanation:

Area of a trapezoid is given by the formula,

Area = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, b₁ and b₂ are the bases of the trapezoid and 'h' is the vertical distance between the bases.

By substituting the values in the formula,

[tex]30=\frac{1}{2}(8+b_2)3[/tex]

[tex]60=3(8+b_2)[/tex]

[tex]20=8+b_2[/tex]

[tex]b_2=12[/tex]

Therefore, length of the second base will be 12 meters.

Answer:

41

Step-by-step explanation:

Usando BODMAS, entonces que tenemos

(2 + 4 * 3) =

(2 + 12) =

14

Con el segundo uno, tenemos

(3 * 2 - 2 * 2). Con esto, dices que

(3 * 2) - (2 * 2) =

6 - 4 =

2

Y ahora, decimos que

3 * (14) - 2(2) + 5 - 2 =

42 - 4 + 3 =

42 - 1 = 41

Nos respuesta a la pregunta es 41. Espero que tú entiendas

Answer:

A. the area of the large pond is 16 times the area of the small pond

Step-by-step explanation:

let's say 4 is the radius of the small circle, which means the area is 50.26548

if the large circle is 4 times the small circle, that means it's radius is 16 which means the area is 804.24772

so if you divide the big circle area by the small circle area:

804.24772/50.26548

it gives you 16.00000079577 which is rounded to 16

therefore, the bigger circle is 16 times bigger than the smaller circle

Answer:

x<3/4

Step-by-step explanation:

8x<6

x<6/8

x<3/4

I hope this helps

Answer:

x = 3/4

Step-by-step explanation:

Answer:

the answer is 15.

Step-by-step explanation:

you find the answer by turning 25% into 0.25 then you multiple it by 60, this results in 15.

Answer:

Solution is correct till finding the roots:

Then Seth should find the respective y- points using either equation:

and

Correct solution is:

Answer:

Seth's answer is incorrect.

Step-by-step explanation:

He is correct with all of his steps until he reaches the roots... the correct roots are, y = 4(3) + 1 = 13 y = 4(-2) + 1 = -7

So the correct answer would actually be: The graphs intersect at the coordinates (3,13) and (-2,-7)

Answer:

(-4,2)

Step-by-step explanation:

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The point is located 4 units to the left of the origin and 2 units below the

x-axis.

4 units to the left of the origin.

This means,

x = -4

2 units below the x-axis.

This means,

y = -2

The coordinate in the form of ordered pair is (-4, -2).

Thus,

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

Learn more about coordinates here:

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