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2 years ago

How many faces ,edges, and vertices does a cereal box have

Mathematics

1 answer:

insens350 [35]2 years ago

8 0

A cereal box has, 6 faces,
8 edges,and 8 <em>vertices.</em>

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Below are 36 sorted ages of an acting award winner. Find P80.

blsea [12.9K]

P80 = 36 * 0.80 = 28.8

The above equation shows that the 80th percentile will have 28.8 values below it. So obtaining the 29th value will be the 80th percentile.

Looking at the given values, P80 = 67.

3 0

3 years ago

Read 2 more answers

Find the height of a cylinder whose diameter is 42 cm and the area of its curved

Wittaler [7]

9514 1404 393

Answer:

90 cm

Step-by-step explanation:

The lateral area of a cylinder is given by the formula ...

LA = πdh

Filling in the given information, we can solve for h:

11,880 cm^2 = π(42 cm)h

h = 1180 cm^2/(42π cm) ≈ 90.0 cm

The height of the cylinder is about 90 cm.

7 0

2 years ago

Determine the mean and variance of the random variable with the following probability mass function. f(x) = (216/43)(1/6)^x, x =

anzhelika [568]

Answer:

The mean of function provided is 1.186.

The variance of the provided f(x) is 0.198

Step-by-step explanation:

It is provided that the probability mass function is,

f(x)= (214/43)×(1/6)ˣ; x=1,2,3

The mean is calculated as,

E(X)=∑ x × f(x)

=1×(216/43)×(1/6)¹ + 2 × (216/43)×(1/6)² × 3 × (216/43)×(1/6)³

=36/43 + 12/43 +3/43

=1.186

The mean of function provided is 1.186

Explanation | Common mistakes | Hint for next step

The expected value of the probability mass function,f(x)= (216/43×(1/6)ˣ

is 1.1861.186 .

Step 2 of 2

To calculate the variance, first calculate E(X²)=∑ x² × f(x)

= 1² ×(216/43) × (1/6)¹ + 2² × (216/43) × (1/6)² × 3² × (216/43) ×(1/6)³

=36/43 +24/43 +9/43

=1.605

The variance is calculated as,

V(X) =E(X²) - [E(X)]²

=1.605 -(1.186)²

= 0.198

The variance of the provided f(x) is 0.198

Explanation | Common mistakes

The variance of function f(x)=(216/43) × (1/6)ˣ ; x =1,2,3 is 0.198

3 0

3 years ago

Pretend that it’s 7:00 now. In 33 hours, what time will the clock show? Don’t worry about AM/PM

Xelga [282]

Answer:

4:00

Step-by-step explanation:

take away 24 hours.

you have nine left, so 9 hours after 7 will be 4

If this helps please mark me brainliest.

3 0

2 years ago

Read 2 more answers

Solve the following system using substitution.

ziro4ka [17]

Answer/Step-by-step explanation:

3. By substitution method, let's substitute $\frac{2}{3}x- 4$ for y in the first equation.

Thus,

$\frac{1}{3}x + 2(\frac{2}{3}x- 4) = 1$

Solve for x

$\frac{x}{3} + \frac{4x}{3} - 4 = 1$

Add 4 to both sides

$\frac{x}{3} + \frac{4x}{3} - 4 + 4 = 1 + 4$

$\frac{x}{3} + \frac{4x}{3} = 5$

$\frac{x + 4x}{3} = 5$

$\frac{5x}{3} = 5$

Multiply both sides by 3

$\frac{5x}{3}*3 = 5*3$

$5x = 15$

Divide both sides by 5

$x = 3$

Now, substitute 3 for x in the equation.

$y = \frac{2}{3}x- 4$

$y = \frac{2}{3}(3) - 4$

$y = 2 - 4$

$y = -2$

The solution of the equation is x = 3, y = -2

4. Solving by elimination, let's try to eliminate the x-variable by adding both equation together.

$3x - 2y = 11$

$-3x - y = 4$

$-3y = 15$ => $(-3x +(-3x) = 0; -2y +(-y) = -3y; 11 + 4 = 15)$

Divide both sides by -3 to solve for y

$\frac{-3y}{-3} = \frac{15}{-3}$

$y = -5$

Substitute -5 for y in the first equation to find x

$3x - 2(-5) = 11$

$3x + 10 = 11$

Subtract 10 from both sides

$3x + 10 - 10 = 11 - 10$

$3x = 1$

Divide both sides by 3

$\frac{3x}{3} = \frac{1}{3}$

$x = \frac{1}{3}$

The solution is $x = \frac{1}{3}, y = -5$

8 0

3 years ago