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3 years ago

12

Nicole made costumes for the annual school play. She used a total length of 1468.8 in of blue fabric. The fabric came in 3 rolls

that each had the same length. How much fabric was in each roll? Write your answer in yards.

1 answer:

Charra [1.4K]3 years ago

5 0

1468.8/3 = 489.3 in
convert answer into yards (divide by 36)
there was 13.6 yards of fabric in each roll.

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Use the following statements to find a compound statement for (p∨q)∧rp∨q)∧r p: 5<-3 q: All vertical angles are congruent. r:

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Given the compound statement <span>(p∨q)∧r
where: p: 5 < -3
q : All vertical angles are congruent.
r: 4x = 36, then x = 9.

Recall the in logic, '</span>∨' symbolises "or" while '∧' symbolises "and".

Therefore, the compound statement <span>(p∨q)∧r can be written as follows:
Either 5 < -3 or all vertical angles are congruent, and if 4x = 36, then x = 9.
</span>

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1. All of the following are true except B. A. A random variable represents a numerical value assigned to an outcome of a probabi

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Answer:

The true statements are :

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most applications, discrete random variables represent counted data.

C. In most applications, continuous random variables represent measured data.

Step-by-step explanation:

It is true statement that,

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most applications, discrete random variables represent counted data.

C. In most applications, continuous random variables represent measured data.

The false statement is -

D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.

Reason -

The mean value, or expected value, of a discrete random variable X is given by the following equation:

μ = E(x) = ∑ x p(x)

And

The variance of a discrete random variable is given by the following formula:

σ²=∑ (x−μ)² P(x)

And

The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :

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3 years ago

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3 years ago

Select all the correct equations.

Naya [18.7K]

Answer:

You did not post the options, but i will try to answer this in a general way.

Because we have two solutions, i know that we are talking about quadratic equations, of the form of:

0 = a*x^2 + b*x + c.

There are two easy ways to see if the solutions of this equation are real or not.

1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).

2) look at the determinant.

The determinant of a quadratic equation is:

D = b^2 - 4*a*c.

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3 years ago

If Alfie tosses the paper cup more times, what is the expected number of times that the cup will land on its side?

IRINA_888 [86]

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

Right side up = 60 Upside down = 53 Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

$Right = 60$

$Upside\ down = 53$

$Side = 37$

Required

First, we calculate the probability of landing on side

$P(Side) = \frac{n(Side)}{Total}$

$P(Side) = \frac{37}{150}$

$P(Side) = 0.247$

Next, we calculate the expected value; E(x) using:

$E(x) = n * P(x)$

When tossed 100 more times:

n = 100 and P(x) = P(Side) = 0.247

So:

$E(x) = 100 * 0.247$

$E(x) = 24.7$

$E(x) = 25$ --- approximated

<em>Hence, it is expected that it will land on its side 25 times</em>

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