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stiks02 [169]
2 years ago
9

I need the answer to this​

Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

Answer:

63.2

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

  • ST/16 = 31.6/8
  • ST = 63.2
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(08.06)The following data show the weight, in ounces, of 10 different bags of candy: 10 3 7 3 4 21 6 10 1 2 4 After removing the
hoa [83]

Answer:

B) is correct; on average, each bag of candy has a weight that is 2.6 oz different than the mean weight of 5 oz.

To find the mean absolute deviation, we first find the mean.  Find the sum of the data points and divide by the number of data points (without the outlier, 21, in it):

(10+3+7+3+4+6+10+1+2+4)/10 = 50/10 = 5

Now we find the difference between each data point and the mean, take its absolute value, and find their sum:

|10-5|+|3-5|+|7-5|+|3-5|+|4-5|+|6-5|+|10-5|+|1-5|+|2-5|+|4-5| =

5+2+2+2+1+1+5+4+3+1 = 26

We now divide this by the number of data points:

26/10 = 2.6

This is a measure of how much each bag of candy varies from the mean.

4 0
3 years ago
Read 2 more answers
Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer
IgorLugansk [536]

Transform <em>Y</em> to <em>Z</em>, which is distributed N(0, 1), using the formula

<em>Y</em> = <em>µ</em> + <em>σZ</em>

where <em>µ</em> = -16 and <em>σ</em> = 1.21.

Pr[-15.043 < <em>Y</em> ≤ <em>k</em>] = 0.1546

Pr[(-15.043 + 16)/1.21 < (<em>Y</em> + 16)/1.21 ≤ (<em>k</em> + 16)/1.21] = 0.1546

Pr[0.791 < <em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] - Pr[<em>Z</em> < 0.791] = 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] = 0.1546 + Pr[<em>Z</em> < 0.791]

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546 + 0.786

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (<em>Φ(x)</em> denotes the CDF itself):

(<em>k</em> + 16)/1.21 ≈ <em>Φ⁻¹</em> (0.940) ≈ 1.556

Solve for <em>k</em> :

<em>k</em> + 16 = 1.21 • 1.556

<em>k</em> ≈ -14.118

8 0
3 years ago
Justin wants to buy a new bike that costs $115. He has $40 and plans to
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15x+40=115

15x means 15 per week solve for x if you want to know how many weeks 40 is what he has only once

8 0
4 years ago
Name : Teacher: Word Problems Score: Date : Tom has 24 blue balloons. He wants to give his six friends the same number of blue b
Karo-lina-s [1.5K]

Each friend of Tommy will receive 4 blue balloons from tommy as Tommy wants to distribute his balloons equally among all of them.

As per the question statement, Tom has 24 blue balloons and he wants to distribute his balloons equally among all 6 of his friends.

To solve this question, let us assume that each friend of Tommy received "x" balloons on equal distribution.

We will now form a Linear Equation of single variable with "x", based on the condition mentioned in the question statement, and solving for "x", we will obtain our desired answer, i.e.,

(x+x+x+x+x+x)=24\\or, (6*x)=24\\or, x=\frac{24}{6}\\ or, x=4

Thus, Each friend of Tommy will receive 4 blue balloons.

  • Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c)  where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.
  • Variable: In Mathematics, a variable is a symbol or a representative of a value, which is unknown.

To learn more about Linear Equations, click on the link below.

brainly.com/question/27664510

#SPJ9

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2 years ago
I need help please?????
Advocard [28]

6×2 - 3×3

12 - 9

3

The answer is 3

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3 years ago
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