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givi [52]
3 years ago
5

Use your calculator to find sin 52º. Use your calculator to find cos 47°.

Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

sin of 52 is 0.98662759204

cos of 47 is 0.99233546915

Step-by-step explanation:

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Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon
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Using the normal distribution, it is found that 0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • The mean is of 90 grams, hence \mu = 90.
  • The standard deviation is of 1 gram, hence \sigma = 1.

We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{3}{1}

Z = 3

The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.

  • Looking at the z-table, Z = -3 has a p-value of 0.0013.

2 x 0.0013 = 0.0026

0.0026 x 100% = 0.26%

0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

For more on the normal distribution, you can check brainly.com/question/24663213

4 0
2 years ago
Calculate simple interest earned on a deposit of $500 at a rate of 5% for 5 years. $125 $500 $625 $12,500
Sergio [31]

Answer:

$125

Step-by-step explanation:

Given:

deposit, P=  $500

rate,i =  5%

time,t= 5 years

I=P*i*t

where P is principal amount

i is interest rate

t is time

I is simple interest

Putting values we get:

I=500*0.05*5

 = 125 !

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3 years ago
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The answer is 11367736100!
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3 years ago
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What would you need help with the most with this big problem?
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What is the intial value and rate of change in this graph. please explain step by step!!!!!
WARRIOR [948]

The initial value of the graph is where x = 0. Thus, in this case, the initial value is 12.


The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:

\dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the graph

Let's use two points from the chart to find the slope:

m = \dfrac{30 - 21}{2 - 1} = 9


In this case, the rate of change of the graph is 9.

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