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A sample of computer tablet batteries has a mean battery life of 28 months and standard deviation of 4 months. What is the lifes

Ulleksa [173]

Using the Empirical Rule, it is found that the lifespans, in months, are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

<h3>What is the Empirical Rule?</h3>

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

More can be learned about the Empirical Rule at brainly.com/question/24537145

5 0

2 years ago

Which expression is equivalent to 3x – 5?

Scrat [10]

the equation 2x-4-1+x would be the answer

Because 2x+x = 3x and -4-1 = 5, the result would be 3x-5

6 0

3 years ago

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Write f(x) = 2x2 – 44x + 185 in vertex form.

forsale [732]

Answer:

Step-by-step explanation:

$f(x)=2x^2-44x+185\\\\=2(x^2-2*11*x)+185\\\\=2(x^2-2*11*x+11^2)+185-2*121\\\\\boxed{f(x)=2(x-11)^2-57}\\\\vertex\ is\ (11,-57)$

7 0

3 years ago

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Marco located the falllow points on a number line which point is not corrtly placed on the number line

mario62 [17]

Question:

Marco plotted the following points on the number line.

Point A: 0.3 Point B: 3/4 Point C: 11/4 Point D: 0.7

Which point did he plot incorrectly?

Answer:

Point D

Step-by-step explanation:

Given

$Point\ A= 0.3$

$Point\ B= \frac{3}{4}$

$Point\ C= \frac{11}{4}$

$Point\ D= 0.7$

Required

The incorrectly plotted point

Number plotted on a number line increases from left to right. This implies that:

$A < B < C < D$

Substitute the values for the given points

$0.3 < \frac{3}{4} < \frac{11}{4} < 0.7$

Express as fractions

$0.3 < 0.75 < 2.75 < 0.7$

Up till 2.75, the order of the numbers is correct.

However, 0.7 is less than 0.75 and 2.75

So, 0.7 is not placed correctly.

<em>This implies that point D is not correctly placed</em>

7 0

3 years ago

If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Natasha_Volkova [10]

The correct answers are:
1) sin(x) = $\frac{ \sqrt{3} }{2}$
2) tan(x) = $\sqrt{3}$

Explanation:
Given:
$cos(x) = \frac{1}{2}$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}$

Step 3:
Take square-root on both sides:
$\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}$

sin(x) = $\frac{ \sqrt{3} }{2}$

Now to find the tan(x), we would use the following formula:

tan(x) = $\frac{sin(x)}{cos(x)}$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

Hence tan(x) = $\sqrt{3}$

6 0

3 years ago

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