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3 years ago

Which ordered pair is the solution to the system of equations below?

Mathematics

1 answer:

solniwko [45]3 years ago

8 0

Hi, this should be correct. Hope this helps :)

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What is the standard deviation of this data set? Use a calculator to help you.

ale4655 [162]

Answer:

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

X X - $Xbar$ $(X-Xbar)^{2}$

20 20 - 46 = -26 676

23 23 - 46 = - 23 529

32 32 - 46 = -14 196

36 36 - 46 = -10 100

41 41 - 46 = -5 25

43 43 - 46 = -3 9

44 44 - 46 = -2 4

45 45 - 46 = -1 1

47 47 - 46 = 1 1

54 54 - 46 = 8 64

55 55 - 46 = 9 81

59 59 - 46 = 13 169

61 61 - 46 = 15 225

63 63 - 46 = 17 289

66 66 - 46 = 20 <u> 400 </u>

$\sum(X-Xbar)^{2}$ <u>= 2769 </u>

Firstly we will calculate Mean, $Xbar$ = $\frac{\sum X}{n}$

$Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15}$ = 45.93 ≈ 46

Now, Standard deviation formula is given by;

s = $\sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}}$ = $\sqrt{\frac{ 2769}{15-1}}$ = 14.064 .

7 0

4 years ago

Find a fraction that is equivalent to 2/4. (Write three fractions.)

NikAS [45]

Answer:

1/2 3/6 4/8 and 5/10 because all are equivalent to 2/4

6 0

2 years ago

A baseball training clinic takes out a loan to build a new reception area. The loan is for $28,500 at 4.25% for five years. How

Vesna [10]

Answer:

$3073.80

Step-by-step explanation:

A suitable calculator can tell you the loan payment will be $526.23 monthly. The same calculator can also tell you the total of 60 payments exceeds the loan amount by $3073.80.

5 0

3 years ago

Divide using any method 2x^2+5x+1 ÷ X+3

Natali [406]

Question:

Solve the equation 2x2−5x+3=0 by the method of completing square.

Answer:

We have,

2x2−5x+3=0

⇒x2−25x+23=0 (Dividing throughough by 2)

⇒x2−25x=−23 (Shifting the constant term on RHS)

⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)

⇒(x−45)2=1625−23⇒(x−45)2=16

3 0

3 years ago

There are 785 students in the senior class if there are 77 more females in the class and males how many males and female seniors

sladkih [1.3K]

862 is the answer because we add

6 0

3 years ago

Read 2 more answers