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3 years ago

I need help on this question

Mathematics

1 answer:

dangina [55]3 years ago

6 0

First off, rewrite all of the fractions so that they have a common denominator. That's 2/12, 2/12, and 4/12. Adding these together, we get 8/12. That's the probability of getting an A, B, or C — but not a D. The chance of getting a D is represented by the remaining 4/12 — or 1/3.

TIn short, the chance of rolling D is exactly 1/3.

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A suitcase measures 24 inches long and the dialogue is 30 inches long. How much material is needed to cover one side of the suit

borishaifa [10]

Answer:

432 in.^2

Step-by-step explanation:

The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.

We use the Pythagorean theorem,

a^2 + b^2 = c^2

(24 in.)^2 + b^2 = (30 in.)^2

576 in.^2 + b^2 = 900 in.^2

b^2 = 324 in.^2

b = sqrt(324 in^2)

b = 18 in

area of rectangle = length * width

A = 24 in. * 18 in.

A = 432 in.^2

6 0

3 years ago

I need help plsssss...........

ch4aika [34]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

system of linear equation
PEMDAS

<h3>let's solve:</h3>

since y is equal to both equation therefore we can substitute the value of y into the other equation

$\sf substitute \: the \: value \: of \: y : \\ \sf - x + 2 = 3x - 4$
$\sf add \: x \: to \: both \: sides : \\ \sf - x + x + 2 = 3x + x - 4 \\ \sf 4x - 4 = 2$
$\sf add \: 4 \: to \: both \: sides : \\ \sf xx - 4 + 4 = 2 + 4 \\ 4x = 6$
$\sf divide \: both \: sides \: by \: 4 : \\ \frac{4x}{4} = \frac{6}{4} \\ x = \frac{3}{2}$

let's figure out y

substitute the got value of x into the second equation: y=3*3/2 -4
simplify multiplication:9/2 -4
simplify division:4.5-4
substract:0.5 alternate form:y=½

3 0

3 years ago

Given -3(2x+7)=-29-4x prove x=4

Doss [256]

Answer:

x = 4

Step-by-step explanation:

Given

- 3(2x + 7) = - 29 - 4x ← distribute parenthesis on left side

- 6x - 21 = - 29 - 4x ( add 4x to both sides )

- 2x - 21 = - 29 ( add 21 to both sides )

- 2x = - 8 ( divide both sides by - 2 )

x = 4 ← as required

4 0

3 years ago

Read 2 more answers

At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine

Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$