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-Dominant- [34]
4 years ago
7

Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6

inches. (a) what is the probability that a randomly chosen 10 year old is shorter than 48 inches? (please round to four decimal places)
Mathematics
1 answer:
Firlakuza [10]4 years ago
4 0
Given:
μ = 55 in, population mean
σ = 6 in, population standard deviation

Part (a)
x = 48 in, the random variable
Calculate the z-score.
z = (x - μ)/σ
   = (48 - 55)/6
   = -1.667
From standard table, obtain
P(X < 48) = 0.12167 

Answer: 0.1217  (tyo 4 dec.places)

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3x - 2(2x - 5) = 2(x + 3) - 8
nataly862011 [7]

Answer:

x = 4

Step-by-step explanation:

Hello!

We can solve for x by expanding the parentheses and isolating x.

<h3>Solve for x</h3>
  • 3x - 2(2x - 5) = 2(x + 3)-8
  • 3x - 4x + 10 = 2x + 6 - 8
  • -x + 10 = 2x - 2
  • 10 = 3x - 2
  • 12 = 3x
  • x = 4

The value of x is 4.

3 0
2 years ago
How do convert 50/6 in the lowest fraction
vovikov84 [41]

\bf \cfrac{50}{6}\implies \stackrel{\textit{some quick prime factoring on both}}{\cfrac{2\cdot 5\cdot 5}{2\cdot 3}}\implies \cfrac{2}{2}\cdot \cfrac{5\cdot 5}{3}\implies 1\cdot \cfrac{5\cdot 5}{3}\implies \cfrac{25}{3}

5 0
3 years ago
What is the result of subtracting the second equation from the first?
Ronch [10]

Answer:

-5x + 0y = -11

The y terms are eliminated

Step-by-step explanation:

- 4x – 2y = -2

X - 2y = 9

We want to subtract the second equation from the first

Distribute a minus sign to all the terms in the second equation

- 4x – 2y = -2  

X - 2y = 9

= (-5x + 0y = -11)

6 0
3 years ago
Calculate the product of 8/15, 6/5, and 1/3. 
Mariulka [41]
\frac{8}{15} * \frac{6}{5} * \frac{1}{3}

First, I would multiply the last two fractions because they're smaller and easier to work with:

\frac{8}{15} * \frac{6}{5} * \frac{1}{3} = \frac{8}{15} * \frac{6}{15}

Now that we've simplified it, we could multiply these terms and simplify.  An easier method, however, would be to cancel out any common factors among the numerators and denominators before multiplying:

\frac{8}{15} * \frac{6}{15} = \frac{8}{5} * \frac{2}{15}

We can now multiply these terms:

\frac{8}{5} * \frac{2}{15} =  \frac{16}{75}

The <span>product of 8/15, 6/5, and 1/3 is B, 16/75.</span>
5 0
3 years ago
Find the sum of the following infinite geometric series, if it exists. <br> 2/5+12/25+ 72/125...
Agata [3.3K]
Each time multiplied by 6/5
the common ratio is 6/5
since |6/5|>1, the series does not converge to a single number and the sum approaches positive infinity


there is no real number that the sum of this series approaches
6 0
3 years ago
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