Willard F. Libby received his undergraduate degree from
.

After he completed his graduate work, he became a professor at
.

In 1960, he won a Nobel Prize in

Answer:

Capacity of tank = 44,000 l

Step-by-step explanation:

Given:

Height of tank = 3.5 m

Radius = 2 m

Find:

Capacity of tank

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(2)²(3.5)

Volume of cylinder = 44 m³

1m³ = 1000 l

So,

Capacity of tank = 44  x 1,000

Capacity of tank = 44,000 l

Answer:

28

Step-by-step explanation:

Here is the complete question used in answering this question :

Three-fourths of the boats in the marina are white. 4/7 of the remaining boats are blue , and the rest are red . If there are 9red boats, how many boats are in the marina?

We first have to determine the fraction of the boats that are red

1 - ([tex]\frac{3}{4}[/tex] + [tex]\frac{4}{7}[/tex])

1 - [tex]\frac{21 + 16}{28}[/tex]

1 - [tex]\frac{37}{28}[/tex]

1 - 1[tex]\frac{9}{28}[/tex]

= 9/28

so, 9/28 of the boats are red

let b represent the total number of boats

9/28 x b = 9

to find b, divide both sides of the equation by 28/9

b = 28

Answer:

a) 0.0879 = 8.79% probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs.

b) 0.3672 = 36.72% probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need for money to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either it was motivated by a need to buy drugs, or it wasnt. Thefts are independent, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In a certain city district, the need for money to buy drugs is stated as the reason for 75% of all thefts.

This means that [tex]p = 0.75[/tex]

Next 5 theft cases

This means that [tex]n = 5[/tex]

(a) exactly 2 resulted from the need for money to buy drugs;

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.75)^{2}.(0.25)^{3} = 0.0879[/tex]

0.0879 = 8.79% probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs.

(b) at most 3 resulted from the need for money to buy drugs.

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.75)^{0}.(0.25)^{5} = 0.0010[/tex]

[tex]P(X = 1) = C_{5,1}.(0.75)^{1}.(0.25)^{4} = 0.0146[/tex]

[tex]P(X = 2) = C_{5,2}.(0.75)^{2}.(0.25)^{3} = 0.0879[/tex]

[tex]P(X = 3) = C_{5,3}.(0.75)^{3}.(0.25)^{2} = 0.2637[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0010 + 0.0146 + 0.0879 + 0.2637 = 0.3672[/tex]

0.3672 = 36.72% probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need for money to buy drugs.

Answer:

If Jack adopted half of the spaniel puppies, and there are 4 spaniel puppies, that means that he adopted 2 puppies.

If Carmen adopted half of the beagle puppies, and there are 6 beagle puppies, then Carmen adopted 3 puppies. This means that Carmen adopted more puppies than Jack.

Step-by-step explanation:

1/2 of 4 = 2

1/2 of 6 = 3

Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, a shelter had 4 spaniel puppies and 6 beagle puppies.

Jack adopted 1/2 of the spaniel puppies.

That is, 1/2 ×4 =2

Carmen adopted 1/2 of the beagle puppies.

That is, 1/2 ×6 =3

Therefore, Carmen adopted more puppies that is 3 and Jack adopted 2 puppies.

To learn more about the fraction visit:

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Answer:

Here are the answers. Need to have 20 characters for answer. Phew

Answer: 24/100 more

Step-by-step explanation:

Answer:

kendall ate 24/100 more than parker

Answer:

23

Step-by-step explanation:

To find the area of a circle you need to find the radius. You find the radius by dividing the diameter by 2. So in this case, the radius is 14. Multiply 14 by pi and square your answer for the area.

Answer:

it's a non equation if x=2 is given then we get a proper line of the equation bur x is greater than 2 the we find a region that go far from origin

Answer:

1/2

Step-by-step explanation:

Answer:

5y + 2x + 15

Step-by-step explanation:

x+y+x+y+3(y + 5)

Open the bracket.

x + y + x + y + 3y + 15

Bring the like terms together and simplify them.

3y + y + y + x + x + 15

= 5y + 2x + 15

Step-by-step explanation:

[tex]x - 9 - 3 = y \\ y = x - 12[/tex]

The given equation solved for y as x-12.

The given equation is x-9=3+y.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

x-9=3+y

⇒y=x-9-3

⇒y=x-12

Therefore, the given equation solved for y as x-12.

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Answer:

Step-by-step explanation:

Find the length of one of the braces b, use sine:

Total length:

your answer will be A

The function y=3x is growing slower than y=3^x

Step-by-step explanation:

hope it helps you

have a great day!!

Answer:

wha- okay.. umm Do something funny.......................

☁️ Answer ☁️

Here:

Have a nice day noona!~ ￣▽￣❤️

a

asta e raspunsul

gyyy

Answer:

how is this Spanish

Step-by-step explanation:

Answer:

Step-by-step explanation:

to make a graph, when you have the equations, as you do,  just make up a table of some x coordinates,  you get to choose which ever ones you want so pick some easy ones,   like - 2,-1 , 0, 1, 2  .. then put each of those numbers into your equations as the x ... one at a time, ofc,   and see what you get out for y.  then you have the y coordinate of your table  

when you have your table then you can plot each of the points,  if you use the Demos  web site graphing tool you can make the graph on your computer , or use a graph paper.    

:)

Answer:

22 gallons

Step-by-step explanation:

280 miles / 56 gallons = 5 miles per gallon

110 miles/5 mpg = 22 gallons

Answer:

B

Step-by-step explanation:

It goes up the same amount ($0.75) for every bar you get.

Answer:

89

Step-by-step explanation:

Hypotenuse = sqrt[ (Leg a)2 + (Leg b)2 ]

Hypotenuse = sqrt[ (39)2 + (80)2 ]

Hypotenuse = sqrt[ 1521 + 6400 ]

Hypotenuse = sqrt[ 7921 ]

Hypotenuse = 89

Answer:

45 is your answer c=45 13

Answer:

$21 is the correct answer

Answer:

Step-by-step explanation:

First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35

0.35 (40) = 14

35 - 14 = 21

So, the discounted price is now $21.

Answer:

1500

Step-by-step explanation:

STEP 1 900 = 60% × Y

STEP 2 900 =

60

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 60 we will arrive at:

STEP 3 Y = 900 ×

100

60

STEP 4 Y = 900 × 100 ÷ 60

STEP 5 Y = 1500

Answer: A

Step-by-step explanation:

Box A has a greater value than Box B. Expression of box A on being solved will result in a bigger value than that of box B.

Expression, in mathematics, is a combination of numbers, variables, functions, etc in a meaningful way.

Without multiplying, it is needed to compare both expressions.

As in the operation 'multiplication', numbers can interchange their position around the symbol '×', so, changing places of 4 and 8 in the numerator of the expression of box A,

Box A: [tex]\dfrac{8}{5} \times \dfrac{4}{9}[/tex].

The first fractions in both expressions are the same now in both boxes, so the expression having a bigger second expression will have the greater value.

To compare the second terms of both expressions, make the denominator equal:

Box A: [tex]\dfrac{8}{9} = \dfrac{8}{9} \times\dfrac{2}{2} = \dfrac{16}{18}[/tex]

Box B: [tex]\dfrac{1}{2} =\dfrac{1}{2} \times \dfrac{9}{9} = \dfrac{9}{18}[/tex]

Since, [tex]\dfrac{16}{18}\geq \dfrac{9}{18}[/tex] as [tex]16 \geq 9[/tex],

Therefore, the expression in Box A is greater than that of Box B.

Learn more about Expressions here:

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The complete question is as follows:

Without multiplying the numbers in each box, explain which box has the greater value

Box A: [tex]\dfrac{4}{5} \times \dfrac{8}{9}[/tex]

Box B: [tex]\dfrac{8}{5} \times \dfrac{1}{2}[/tex].

Answer: the answer is 162

Step-by-step explanation: good luck with your math test I hope you get a good grade

Answer:

22

Step-by-step explanation:

6(n - 5) - 2

6(9 - 5) - 2

6(4) - 2

24 - 2

22

Answer:

22

Step-by-step explanation:

Because it is the "Correct Answer"

Step-by-step explanation:

Joesphene is 23 years old, because: 2x=32+14=>2x=46=>x=23 .

Answer:

Josephene is 23 years old

Step-by-step explanation:

First, you can assign the variables x and y to Joseph and Josephene, next you should write an equation. Since Joseph is 14 years younger than twice Josephene's age, you can write the equation x + 14 = 2y, if 32 is substituted in for x and the equation is simplified, you will end up with Josephene's age, 23.

I hope this helps :)