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3 years ago

Could someone please help with this question

Mathematics

2 answers:

Charra [1.4K]3 years ago

8 0

The answer is 6 because 4+1=5+1=6

yuradex [85]3 years ago

8 0

The answer to this problem is 6 because 4 plus 1 is 5 and 1/8 plus 7/8 is 1 whole and 5 plus 1 is 6!!!!!!!!!

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The volume of a right circular cone that has a height of 13 m and a base with a diameter of 3.4 m. Round your answer to the near

Mamont248 [21]

Answer:

The volume of right circular cone having height = $13 \ m$ and Diameter = $3.4 \ m$ is $39.4\ cubic\ meter$ .

Step-by-step explanation:

Diagram of the given scenario is shown below.

Given that

Height of a right circular cone is $13 \ m$ .

Diameter of the right circular cone is $3.4 \ m$ .

To find: The volume of a right circular cone.

So, From the question,

$Height = \ 13 \ m\\diameter = 3.4\ m$

$Radius = \frac{diameter}{2}= \frac{3.4}{2}$

⇒ $Radius = 1.7\ m$

Now

Volume of right circular cone = $\frac{1}{3}\pi r^{2}h$

$=\frac{1}{3}\times\frac{22}{7} \times (1.7)^{2}\times 13$

= $\frac{826.54}{21}$

$= 39.4\ cubic\ meter$ .

Therefore,

The volume of right circular cone having height = $13 \ m$ and Diameter = $3.4 \ m$ is $39.4\ cubic\ meter$ .

8 0

3 years ago

17. If a triangle has sides of 21 and 36, what is the range for the shortest side?

Leona [35]

Given a = 7 and b = 13, this gives us for c:

6 < c < 20, i maybe be wrong

6 0

3 years ago

Find the value of x.........

GREYUIT [131]

The angles of a triangle should add up to 180 degrees. in the left triangle, you should find the 3rd angle

75 + 50 + y = 180
125 + y = 180
y = 55

vertical angles are congruent, so the left angle on the right triangle will also be 55 degrees.

then you do the same thing to find x.

85 + 55 + x = 180
140 + x = 180
x = 40

3 0

2 years ago

Read 2 more answers

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vaieri [72.5K]

4 1/2x7=31.5
1.7x5=8.5
31.5+8.5=40

40 miles in two weeks

5 0

2 years ago

A bag contains 4 blue marbles and 2 yellow marbles. Two marbles are randomly chosen (the first marble is NOT replaced before dra

VMariaS [17]

Answer:

0.4 = 40% probability that both marbles are blue.

0.0667 = 6.67% probability that both marbles are yellow.

53.33% probability of one blue and then one yellow

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

Step-by-step explanation:

To solve this question, we need to understand conditional probability(for the final question) and the hypergeometric distribution(for the first three, because the balls are chosen without being replaced).

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

What is the probability that both marbles are blue?

4 + 2 = 6 total marbles, which means that $N = 6$

4 blue, which means that $k = 4$

Sample of 2, which means that $n = 2$

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,6,2,4) = \frac{C_{4,2}*C_{2,0}}{C_{6,2}} = 0.4$

0.4 = 40% probability that both marbles are blue

What is the probability that both marbles are yellow?

4 + 2 = 6 total marbles, which means that $N = 6$

2 yellow, which means that $k = 2$

Sample of 2, which means that $n = 2$

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,6,2,2) = \frac{C_{2,2}*C_{4,0}}{C_{6,2}} = 0.0667$

0.0667 = 6.67% probability that both marbles are yellow.

What is the probability of one blue and then one yellow?

Total is 100%.

Can be:

Both blue(40%)

Both yellow(6.67%)

One blue and one yellow(x%). So

40 + 6.67 + x = 100

x = 100 - 46.67

x = 53.33

53.33% probability of one blue and then one yellow.

If you are told that both selected marbles are the same color, what is the probability that both are blue?

Conditional probability.

Event A: Both same color

Event B: Both blue

Probability of both being same color:

Both blue(40%)

Both yellow(6.67%)

This means that $P(A) = 0.4 + 0.0667 = 0.4667$

Probability of both being the same color and blue:

40% probability that both are blue, which means that $P(A \cap B) = 0.4$

Desired probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.4667} = 0.8571$

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

8 0

2 years ago