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Wewaii [24]
3 years ago
8

Measure of the angle

Mathematics
2 answers:
Zolol [24]3 years ago
5 0
In total it has to be 180 since a straight line is 180 so i would be 69
romanna [79]3 years ago
4 0
180-111= 69
The correct answer to your question would be 69 degrees
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Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of
jarptica [38.1K]

Answer:

The "probability that a given score is less than negative 0.84" is  \\ P(z.

Step-by-step explanation:

From the question, we have:

  • The random variable is <em>normally distributed</em> according to a <em>standard normal distribution</em>, that is, a normal distribution with \\ \mu = 0 and \\ \sigma = 1.
  • We are provided with a <em>z-score</em> of -0.84 or \\ z = -0.84.

Preliminaries

A z-score is a standardized value, i.e., one that we can obtain using the next formula:

\\ z = \frac{x - \mu}{\sigma} [1]

Where

  • <em>x</em> is the <em>raw value</em> coming from a normal distribution that we want to standardize.
  • And we already know that \\ \mu and \\ \sigma are the mean and the standard deviation, respectively, of the <em>normal distribution</em>.

A <em>z-score</em> represents the <em>distance</em> from \\ \mu in <em>standard deviations</em> units. When the value for z is <em>negative</em>, it "tells us" that the raw score is <em>below</em> \\ \mu. Conversely, when the z-score is <em>positive</em>, the standardized raw score, <em>x</em>, is <em>above</em> the mean, \\ \mu.

Solving the question

We already know that \\ z = -0.84 or that the standardized value for a raw score, <em>x</em>, is <em>below</em> \\ \mu in <em>0.84 standard deviations</em>.

The values for probabilities of the <em>standard normal distribution</em> are tabulated in the <em>standard normal table, </em>which is available in Statistics books or on the Internet and is generally in <em>cumulative probabilities</em> from <em>negative infinity</em>, - \\ \infty, to the z-score of interest.

Well, to solve the question, we need to consult the <em>standard normal table </em>for \\ z = -0.84. For this:

  • Find the <em>cumulative standard normal table.</em>
  • In the first column of the table, use -0.8 as an entry.
  • Then, using the first row of the table, find -0.04 (which determines the second decimal place for the z-score.)
  • The intersection of these two numbers "gives us" the cumulative probability for z or \\ P(z.

Therefore, we obtain \\ P(z for this z-score, or a slightly more than 20% (20.045%) for the "probability that a given score is less than negative 0.84".

This represent the area under the <em>standard normal distribution</em>, \\ N(0,1), at the <em>left</em> of <em>z = -0.84</em>.

To "draw a sketch of the region", we need to draw a normal distribution <em>(symmetrical bell-shaped distribution)</em>, with mean that equals 0 at the middle of the distribution, \\ \mu = 0, and a standard deviation that equals 1, \\ \sigma = 1.

Then, divide the abscissas axis (horizontal axis) into <em>equal parts</em> of <em>one standard deviation</em> from the mean to the left (negative z-scores), and from the mean to the right (positive z-scores).  

Find the place where z = -0.84 (i.e, below the mean and near to negative one standard deviation, \\ -\sigma, from it). All the area to the left of this value must be shaded because it represents \\ P(z and that is it.

The below graph shows the shaded area (in blue) for \\ P(z for \\ N(0,1).

7 0
3 years ago
Your football team has a probability of 3/4 or 75% of winning a game. Your team is scheduled to play 16 games. How many games wi
sasho [114]

Answer:

B. 12

Step-by-step explanation:

3/4 can be converted to something over 16. You have to multiply 4 x 4 to get to 16, so do the same with 3, and 3 x 4 is 12. Now the fraction/proportion is 12/16, so they will win 12 games.

7 0
3 years ago
Read 2 more answers
Order 27.657, 27.658, 27.558, and 27.659 in decreasing order.<br><br> Thx-Kheri Moore
Vikki [24]

Answer:

The answer is

1.    27.659

2.   27.658

3.   27.657

4.   27.558

Step-by-step explanation:

Decreasing order is greatest number to the least.

I really hope this helps

4 0
2 years ago
Read 2 more answers
Write a system of equations to describe the situation below, solve using elimination or substitution.
tangare [24]
X= mountain dew    y= coke

-(5x+5y=1160)
8x+5y=1523

-5x-5y=-1160
+
8x+5y=1523

<u>3x</u>=<u>363
</u><u />3      3

x=121 g of sugar in Mt. Dew

8x+5y=1523 plug in 3 in x

24+5y-24= 1523-24

<u>5y</u>= <u>1499
</u>5       5

y= 299.8 grams of sugar in coke



4 0
3 years ago
During a period of extreme cold, the average daily temperature dropped decreased by 1. Feach day. How many days did it take for
PtichkaEL [24]

Answer:

The answer is 9 days

Step-by-step explanation:

First, we realise

-1.F = 1 day

-9.F = 9 days

The -1.F times 9 gives us one so the days times 9 as well.

Answer = 9

4 0
3 years ago
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