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2 years ago

How many centimeters are there in 0.5 inches?

Mathematics

1 answer:

melomori [17]2 years ago

6 0

Answer:

1.27 centimeters

Step-by-step explanation:

brainliest??

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The set of life spans of an appliance is normally distributed with a mean Mu = 48 months and a standard deviation Sigma = 8 mont

natita [175]

To solve the problem we must know about Z-Score.

<h3>What is Z-score?</h3>

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

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

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

The life span of an appliance that has a z-score of –3 is 24 months.

Given to us

Mean, μ = 48 months,
standard deviation, σ = 8 months,
Z-Score = -3

<h3> What is the life span of an appliance?</h3>

The life span of the appliance can be calculated using the Z-score formula,

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

Substitute the values,

$-3 = \dfrac{X- 48}{8}\\\\-3 \times 8 = X - 48\\\\-24+48=X\\\\X = 24\ months$

Hence, the life span of an appliance that has a z-score of –3 is 24 months.

Learn more about Z-score:

brainly.com/question/13299273

6 0

2 years ago

Rewrite with only sin x and cos x. <br><br> sin 3x

xeze [42]

$\bf sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\\\\\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
\boxed{cos^2(\theta)-sin^2(\theta)}\\
1-2sin^2(\theta)\\
2cos^2(\theta)-1
\end{cases}\\\\
-------------------------------\\\\
sin(3x)\implies sin(2x+x)\implies sin(2x)cos(x)+cos(2x)sin(x)$

$\bf 2sin(x)cos(x)cos(x)~+~[cos^2(x)-sin^2(x)]sin(x)
\\\\\\
\stackrel{like~terms}{\stackrel{\downarrow }{2sin(x)cos^2(x)}~~+~~\stackrel{\downarrow }{sin(x)cos^2(x)}}-sin^3(x)
\\\\\\
3sin(x)cos^2(x)-sin^3(x)$

8 0

3 years ago

I need help in this question please !

Tresset [83]

The answer would be 100/101 if we follow according to the rule on which the sequence is based on!

5 0

3 years ago

Read 2 more answers

Andre has been practicing his math facts. He can now complete 135 multiplication facts in 90 seconds. If Andre is answering ques

9966 [12]

Andre can complete 1.5 facts in one second.

Step-by-step explanation:

Given,

Number of multiplication facts completed in 90 seconds = 135

Therefore;

90 seconds = 135 facts

Dividing both sides by 90 to fins the facts per second

$\frac{90}{90}\ seconds=\frac{135}{90}\ facts\\\\1\ second = 1.5\ facts$

Andre can complete 1.5 facts in one second.

Keywords: unit rate, division

Learn more about unit rates at:

#LearnwithBrainly

4 0

2 years ago

The phone lines to an airline reservation system are occupied 45% of the time. Assume that the events that the lines are occupie

dimaraw [331]

Answer:

0.1569 = 15.69%

Step-by-step explanation:

If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):

P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6

P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6

P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%

7 0

2 years ago