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katrin [286]
2 years ago
11

D =

Mathematics
1 answer:
BigorU [14]2 years ago
6 0

Answer:

This is a function. Range is y is an element of all real numbers, or {yer} and domain is x is greater than or equal to -4, xer {x>=-4|xer}

Step-by-step explanation:

You might be interested in
What is the answer<br>2x+3x-7=42​
Studentka2010 [4]

Answer:

x = \frac{49}{5} or 9.8

Step-by-step explanation:

First, combine like terms. Like terms are terms with the same amount of the same variable.

(2x + 3x) - 7 = 42

5x - 7 = 42

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 7 to both sides of the equation:

5x - 7 (+ 7) = 42 (+ 7)

5x = 42 + 7

5x = 49

Next, divide 5 from both sides of the equation:

(5x)/5 = (49)/5

x = 49/5

x = 9.8

7 0
2 years ago
Read 2 more answers
A class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class
Varvara68 [4.7K]

Answer:

0.01863, yes preference

Step-by-step explanation:

given that a class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class  and says that the five students are being selected at random

Here selecting any 5 students from the group of total 24 students is combination because order does not matter.

Total no of ways of selecting any 5 from total 24 = 24C5\\=42504

No of ways of selecting only 5 girls = No of ways of selecting random 5 girls from total 12 girls

= 12C5\\=792

a) the probability be that all five students

selected are girls=\frac{792}{42504} \\=0.01863

b) Since the probability for selecting all girls is very small and near to 0, it is unusual to select all girls if done at random.  Hence the teacher had a preference for girls.

5 0
3 years ago
A boat leaves a port and heads straight East for 12 miles then turns straight south for another 7 miles then stops. If another b
dlinn [17]

Answer:

Step-by-step explanation:

3 0
3 years ago
Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A
belka [17]

Answer:

a) y=0.00991 x +1.042  

b) r^2 = 0.7503^2 = 0.563

c) r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

y = mx +b

Wehre

m=\frac{S_{xy}}{S_{xx}}  

And:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625  

And the slope would be:  

m=\frac{625}{63085.714}=0.00991  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429  

\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7  

And we can find the intercept using this:  

b=\bar y -m \bar x=7-(0.00991*601.429)=1.042  

And the line would be:

y=0.00991 x +1.042  

Part b

The correlation coefficient is given by:

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

For our case we have this:

n=7 \sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354  

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

The determination coefficient is given by:

r^2 = 0.7503^2 = 0.563

Part c

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

4 0
3 years ago
Write a formula that describes the value of an initial investment of $1200, growing at an interest rate of 4%, compounded monthl
Flauer [41]

Answer:

f(x)=1200(1.04)^n

Step-by-step explanation:

4 0
3 years ago
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