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vitfil [10]
3 years ago
12

The black triangles are similar. Identify the type of segment shown in blue and find the value of the variable. altitude base hy

potenuse median Question 2 y=
Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

Answer:

Hello your question is incomplete attached below is the complete question

answer : ALTITUDE , x = 24

Step-by-step explanation:

The type of segment shown in Blue is ALTITUDE segment

This is because

Angle BCD = Angle CEG (opposite angles)

Angle ACD= Angle CFG (opposite  angles)

Angle ADC = Angle BCD= Angle CEG = Angle CFG

It can be seen that the triangles are similar hence

 18/27=16/x

therefore  X  =24

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denis23 [38]

Answer:

a) (-4, 5)

b) (4, -5)

Step-by-step explanation:

Just reverse the signs or use desmos as a better example.

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The two dot plots compare ages of girls and boys in a pottery class.
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Answer:

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2 years ago
At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with
MatroZZZ [7]

Answer:

a)Slope: \hat \beta_1 =\frac{7625.9}{1248.9}=6.106

Intercept: \hat \beta_o = 157.955 -6.106 (69.686)=-267.548

b) r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"    

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

\sum Y_i =17375 , \sum X_i = 7665.5

Part a

The slope is given by this formula:

\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}

If we replace we got:

\hat \beta_1 =\frac{7625.9}{1248.9}=6.106

We can find the intercept with the following formula

\hat \beta_o = \bar y -\hat \beta_1 \bar x

We can find the average for x and y like this:

\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955

And replacing we got:

\hat \beta_o = 157.955 -6.106 (69.686)=-267.548

Part b

In order to calculate the correlation coefficient we can use this formula:  

r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}  

For our case we have this:  

n=110, \sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8  

So we can find the correlation coefficient replacing like this:

r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657  

And the determination coeffecient is r^2 = 0.657^2 =0.432  

6 0
4 years ago
Help please :))
Marysya12 [62]

Answer:

  • See below

Step-by-step explanation:

<u>The roots are:</u>

  • 3, 3, 2 - 3i, 2 + 3i (conjugate of 2 - 3i should be added) and the leading coefficient is - 5

<u>The polynomial is:</u>

  • -5(x - 3)² (x - [2 - 3i]) (x - [2 + 3i]) =
  • - 5(x² - 6x + 9) (x² - 4x + 13) =
  • -5(x⁴ - 10x³ + 46x² - 114x + 117) =
  • -5x⁴ + 50x³ - 230x² + 570x - 585

7 0
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1. Jennifer earns 25% commission as a salesperson for her company. If she sells $1850 worth of product, how much commission does
elixir [45]

Answer:

$462.50

Step-by-step explanation:

Find 25% of 1850:

1850(0.25)

= 462.5

So, she earns $462.50 in commission

7 0
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