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inn [45]
3 years ago
9

How do you figure out #9 and #10

Mathematics
1 answer:
Ann [662]3 years ago
4 0
#9 the sum of two angles is 90 degrees, creating a right angle.

#10 the sum of the two angles is 180 because the form a supplementary angle
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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.954 grams and a standard devia
olga_2 [115]

Let <em>X</em> be the random variable representing the amount (in grams) of nicotine contained in a randomly chosen cigarette.

P(<em>X</em> ≤ 0.37) = P((<em>X</em> - 0.954)/0.292 ≤ (0.37 - 0.954)/0.292) = P(<em>Z</em> ≤ -2)

where <em>Z</em> follows the standard normal distribution with mean 0 and standard deviation 1. (We just transform <em>X</em> to <em>Z</em> using the rule <em>Z</em> = (<em>X</em> - mean(<em>X</em>))/sd(<em>X</em>).)

Given the required precision for this probability, you should consult a calculator or appropriate <em>z</em>-score table. You would find that

P(<em>Z</em> ≤ -2) ≈ 0.0228

You can also estimate this probabilty using the empirical or 68-95-99.7 rule, which says that approximately 95% of any normal distribution lies within 2 standard deviations of the mean. This is to say,

P(-2 ≤ <em>Z</em> ≤ 2) ≈ 0.95

which means

P(<em>Z</em> ≤ -2 or <em>Z</em> ≥ 2) ≈ 1 - 0.95 = 0.05

The normal distribution is symmetric, so this means

P(<em>Z</em> ≤ -2) ≈ 1/2 × 0.05 = 0.025

which is indeed pretty close to what we found earlier.

4 0
3 years ago
Mason has a full bag of chocolate candies. He takes out all 38 of the green ones, which is 20% of the total number of chocolate
marta [7]

Answer:

190

Step-by-step explanation:

20 percent is 1 fifth of 100 percent so 38 would be 1 fifth. so multiply by 5

4 0
2 years ago
Read 2 more answers
Evaluate P(5, 3). 15 20 60
insens350 [35]

Answer:

20.

Step-by-step explanation:

P(5,3)  = 5! / 3!

= (5*4*3*2*1) / (3*2*1)

= 20.

7 0
3 years ago
-5x+y=-4 in function form
DaniilM [7]
In standard form it would be y= 5x - 4
6 0
3 years ago
which is the slope of a line that is perpendicular to the line that passes through the points (29, 24) and (3, 4)?
Nataliya [291]

Answer:

26/20

Step-by-step explanation:

y2-y1 divided by x2-x1

4-24= -20

3-29= -26

-20/-26= m

perpendicular means to switch the numbers and change the sign

a perpendicular slope to -20/-26 is 26/20.

3 0
3 years ago
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