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liberstina [14]
3 years ago
7

A tank holds 1,000 gallons of syrup. Danielle filled 65 5-gallon cans with syrup. How much syrup was left in the tank when she f

inished? Ernie bought 3 12-packs Of regular cola, 4 12- packs of diet cola, and 2 6-packs of orange soda. How many cans did he buy?
Mathematics
1 answer:
Kipish [7]3 years ago
5 0

Answer:

675 gallons of syrup

96 cans

Step-by-step explanation:

Capacity of tank = 1,000 gallons

Danielle filled 65 5-gallon cans with syrup.

Gallons filled = 65 × 5 gallons

= 325 gallons of syrup

Gallons left in the tank = 1,000 - 325 gallons of syrup

= 675 gallons of syrup

3 12-packs Of regular cola = 3 × 12 packs = 36 packs

4 12- packs of diet cola = 4 × 12 packs = 48 packs

2 6-packs of orange soda = 2 × 6 packs = 12 packs

Total cans = 36 + 48 + 12

= 96 cans

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Based on a​ poll, among adults who regret getting​ tattoos, 1212​% say that they were too young when they got their tattoos. Ass
photoshop1234 [79]

Answer:

0.3165

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adults sampled = 9

x = Number of successes required = number of selected adults that say they were too young to get tattoos = 0

p = probability of success = probability of an adult that regrets getting a tattoo saying they were too young to get the tattoo = 12% = 0.12

q = probability of failure = 1 - p = 1 - 0.12 = 0.88

P(X=0) = ⁹C₀ (0.12)⁰ (0.88)⁹⁻⁰

P(X=0) = 0.31647838183 = 0.3165

Hope this Helps!!!

7 0
3 years ago
Considere as seguintes afirmações: I. O inverso de 0,2 é 5. II. O triplo de \frac{2}{5} é \frac{6}{15}. III. A metade de 0,5 é \
Alex777 [14]

Answer:

I e III

Step-by-step explanation:

Recebemos declarações na questão acima para considerar.

Declaração I. O inverso de 0,2 é 5.

Matematicamente, isso é escrito como:

1 / 0,2

0,2 = 2/10

Portanto: 1 ÷ 2/10 = 1 × 10/2

= 5

Afirmação 1 é verdadeira

Declaração II.

O triplo de 2/5 é 6/15.

Triplo de 2/5 = 2/5 + 2/5 + 2/5

= 2 + 2 + 2/5

= 6/5

= 1 1/5

Declaração II é falsa

III. A metade de 0,5 é 1/5

1/2 de 0,5

= 1/2 × 0,5 = 0,25

Convertendo em fração

= 0,25 = 25/100

= 1/4

Declaração III está correta

Portanto, as afirmações verdadeiras são I e III

8 0
3 years ago
Which row operation will trangularize this matrix?
Nadya [2.5K]

\left[\begin{array}{ccc}1&0&1\\0&0&1\\2&0&1\end{array}\right|\left\begin{array}{ccc}1\\6\\10\end{array}\right] \xrightarrow{-2R_1+R_3}\left[\begin{array}{ccc}1&0&1\\0&0&1\\0&0&-1\end{array}\right|\left\begin{array}{ccc}1\\6\\8\end{array}\right]\\\\Answer:\ C.\ -2R_1+R_3

8 0
3 years ago
Read 2 more answers
Graph each linear equation y=-x-2
mixer [17]

Answer:

Alright well use the Graph line using the slope and the y-intercept, or two points

Slope: - 1

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X: 0, 1

Y: - 2, - 3 Hope this helps :)

Step-by-step explanation:


3 0
3 years ago
(1 point)
marusya05 [52]

Answer:

The correct answer is: {2,4,6,8}

Step-by-step explanation:

Given sets are:

P = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and V= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20)

We have to find

P∩V

The symbol is used for intersection of two sets. In intersection, only common elements of both sets are written in result.

So,

P∩V = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9) ∩ {2, 4, 6, 8, 10, 12, 14, 16, 18, 20)

P∩V = {2,4,6,8}

Hence,

The correct answer is: {2,4,6,8}

7 0
3 years ago
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