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3 years ago

Use the distributive property to simplify 3(x - 4y = 10)

Mathematics

1 answer:

andreev551 [17]3 years ago

7 0

Answer:

3x - 12y = 30

Step-by-step explanation:

3 × x = 3x

3 × -4y = -12y

3 × 10 = 30

Combine like terms to get

3x - 12y = 30

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The sum of the first 100 positive whole numbers is 5050. What is the sum of the first 100 positive odd whole number?

Rufina [12.5K]

The series of odd numbers is:

1, 3, 5, 7, 9, 11, 13, ....

If you observe this series, it is an Arithmetic Series with first term as 1 and common difference of 2. Common difference is defined as the difference between two consecutive terms of the series. So by using the formula of sum of an Arithmetic Series, we can find the sum of first 100 positive odd whole numbers.

The formula for the sum of an Arithmetic Series is:

$S_{n}=\frac{n}{2}(2a_{1}+(n-1)*d)$

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d = Common Difference = 2

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3 years ago

C. Polynomial functions: y = x4 - 3x2 - 3<br>Leading term<br>Leading coefficient :<br>Degree:

MrRissso [65]

Answer:

Step-by-step explanation:

hello : here is an solution

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2 years ago

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all

german

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.

Calculating the probability of the distribution for x:

$\to f(x) = 0.19\ for \ x=14\\\\\to f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\ for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\$

The formula for calculating the mean value:

$\bold{ E(X)= x \times f(x)}$

$=14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07$

$\bold{E(X^2) = x^2 \times f(x)}$

$=14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83$

use formula for calculating the Variance:

$\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}$

$= 51.83 - (5.07)^2\\\\= 51.83 - 25.70\\\\=26.13$

calculating the value of standard deivation:

Standard Deivation (SD) = $\sqrt{Variance}$

$= \sqrt{26.13} \\\\=5.111$

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3 years ago