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Gelneren [198K]
3 years ago
6

Evaluate. write in simplest form. 6-b/3a for a = 10, b = 9

Mathematics
1 answer:
ruslelena [56]3 years ago
6 0
6  -   b/3a             a = 10, b = 9

6   -   9/(3*10)

6 - 9/30

6    -  3/10

6 -  0.3

<span>= 5.7    or 57/10</span>
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Sovle: 10 -2x = -30 <br> Please use subsitution <br> Show your steps to solve the equation
Margaret [11]
10 - 2x = -30
-2x = -40
2x = 40
x = 20
7 0
3 years ago
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Consider a bell-shaped symmetric distribution with mean of 16 and standard deviation of 1.5. Approximately what percentage of da
fredd [130]

Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : \mu=\ 16

Standard deviation :\sigma= 1.5

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x = 13

z=\dfrac{13-16}{1.5}=-2

For x = 19

z=\dfrac{19-16}{1.5}=2

The p-value = P(-2

0.9772498-0.0227501=0.9544997\approx0.9545

In percent, 0.9545\times100=95.45\%

Hence, the percentage of data lie between 13 and 19 = 95.45 %

6 0
3 years ago
In a certain​ country, the mean birth weight for boys is 3.27 ​kg, with a standard deviation of 0.51 kg. Assuming that the distr
Degger [83]

Answer:

0.066

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation

For the question

mean birth weight for boys is 3.27 ​kg, with a standard deviation of 0.51 kg.

x = 2.5

Hence:

z = 2.5 - 3.27/0.51

z = -1.5098

Probability value from Z-Table:

P(x ≤ 2.5) =P(x < 2.5) = P(x = 2.5) =

=0.065547

Therefore, the proportion of baby boys that are born with a low birth weight is 0.066

5 0
3 years ago
Find an<br> expression which represents the sum of (7x - 8y) and (-6x - 6y) in<br> simplest terms.
grigory [225]

Answer:

\displaystyle (7x - 8y) + (-6x - 6y) = x - 14y

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle (7x - 8y) + (-6x - 6y)<em />

<em />

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                                                                                    \displaystyle (7x - 8y) + (-6x - 6y) = x - 8y - 6y
  2. Combine like terms (y):                                                                                    \displaystyle (7x - 8y) + (-6x - 6y) = x - 14y
3 0
2 years ago
Tori invests $1,500 into the stock market which earns 9% per year. In 20 years, how much will Tori's investment be worth if inte
kipiarov [429]
\bold{ANSWER:}
$8725

\bold{EXPLANATIONS:}

4 0
2 years ago
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