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madam [21]
3 years ago
10

Please help thank you

Mathematics
1 answer:
Softa [21]3 years ago
7 0
The absolute value statement that describes the actual amount of feet represented by -323 feet below sea level is |-323| = 323 . The answer is B.
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A restaurant makes pizzas with 6-inch diameters ad 12-inch diameters. Which of the following statement is true?
a_sh-v [17]

Answer:

The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

Step-by-step explanation:

The area (A) of each pizza is given by:

A = \pi r^{2}

Where:

r: is the radius

For the 12-inch pizza we have:

A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch

And for the 6-inch pizza we have:

A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch

The ratio between A₆ and A₁₂ is:

\frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4}

Hence:

A_{6} = \frac{A_{12}}{4}

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

I hope it helps you!            

4 0
3 years ago
What is the solution to this equation?<br>1-2x = 4(x + 3)​
valina [46]

Answer:

x=-1.83

Step-by-step explanation:

1-2x=4(x+3)

1-2x=4x+12

-2x=4x+12-1

-2x=4x+11

-2x-4x=11

-6x=11

x=11÷-6

x=-1.83

4 0
3 years ago
Show each step along the Way<br><br>Ur mom
LekaFEV [45]
2x+6 = 20
take 6 from both sides
2x = 14
divide by 2 on both sides
x = 7
8 0
3 years ago
Boris choos three diffrent numbers.the sum of the three numbers is 36.One of trh numbers is a cube number.the other two number a
inna [77]

Answer:

4,5,27

Problem:

Boris chose three different numbers.

The sum of the three numbers is 36.

One of the numbers is a perfect cube.

The other two numbers are factors of 20.

Step-by-step explanation:

Let's pretend those numbers are:

a,b, \text{ and } c.

We are given the sum is 36: a+b+c=36.

One of our numbers is a perfect cube. a=n^3 where n is an integer.

The other two numbers are factors of 20. bk=20 and ci=20 where a,c,i, \text{ and } k \text{ are integers}.

n^3+\frac{20}{k}+\frac{20}{i}=36

From here I would just try to find numbers that satisfy the conditions using trial and error.

3^3+\frac{20}{2}+\frac{20}{2}

27+10+10

47

3^3+\frac{20}{4}+\frac{20}{5}

27+5+4

36

So I have found a triple that works:

27,5,4

The numbers in ascending order is:

4,5,27

4 0
3 years ago
he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034
garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used 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.

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

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

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that the San Jose Sharks will win any given game is 0.3694.

This means that p = 0.3694

An upcoming monthly schedule contains 12 games.

This means that n = 12

What is the probability that the San Jose Sharks win 9 games in the upcoming month?

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

P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

6 0
3 years ago
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