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satela [25.4K]
3 years ago
12

Square root of 5625​

Mathematics
2 answers:
devlian [24]3 years ago
6 0

Answer:

75

Step-by-step explanation:

75 × 75 = 5625

75² = 5625

nataly862011 [7]3 years ago
6 0

Answer:

75

Step-by-step explanation:

5625 is a mult. of 5 so check 5s also mult. of 3 too.

45?no

75? yes

guess and check possible answers- it had to end in 5, multiple of  3.

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A coach is assessing the correlation between the number of hours spent practicing and the average number of points scored in a g
cricket20 [7]

Answer:

a) r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

b) m=\frac{90}{15}=6  

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

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

c) For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

Step-by-step explanation:

We have the following data:

Number of hours spent practicing (x) 0 0.5 1 1.5 2 2.5 3 3.5 4

Score in the game (y) 5 8 11 14 17 20 23 26 29

Part a

The correlation coefficient is given:

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=9 \sum x = 18, \sum y = 153, \sum xy = 396, \sum x^2 =51, \sum y^2 =3141  

r=\frac{9(396)-(18)(153)}{\sqrt{[9(51) -(18)^2][9(3141) -(153)^2]}}=1  

We have a perfect linear relationship between the two variables

Part b

m=\frac{S_{xy}}{S_{xx}}  

Where:  

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}=51-\frac{18^2}{9}=15  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=396-\frac{18*153}{9}=90  

And the slope would be:  

m=\frac{90}{15}=6  

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

\bar x= \frac{\sum x_i}{n}=\frac{18}{9}=2  

\bar y= \frac{\sum y_i}{n}=\frac{153}{9}=17  

And we can find the intercept using this:  

b=\bar y -m \bar x=17-(6*2)=5  

So the line would be given by:  

y=6 x +5  

Part c

For this case the slope indicates that for each increase of the number of hours in 1 unit we have an expected increase in the score about 6 units.

And the intercept 5 represent the minimum score expected for any game

5 0
3 years ago
Angle 2 is 2x+10 angle 4 is 4x+80 solve for x
Airida [17]

Answer:

15

Step-by-step explanation:

Angle 2 is 2x+10

angle 4 is 4x+80

and from the figure we can understand that when we add these 2 equations

We get

6x+ 90= 180

6x = 180 - 90= 90

6x= 90

x = 90 ÷ 6 = 15

answer = 15

7 0
2 years ago
HELP ASAP HELP ASAP HELP ASAP HELP ASAP
Shtirlitz [24]

The equation is P= 2w + 2(w+4.1)

The width is 8.2cm

5 0
2 years ago
You have a right circular cone of height 1530 mm and volume 2.2 x 104 in3 . Calculate the base diameter of the cone.
Alja [10]

Answer:

  37.35 in

Step-by-step explanation:

The volume of a cone is given by the formula ...

  V = (π/3)r²h

where r is the radius of the base and h is the height. We want to find the diameter of the base, so we can rewrite this in terms of diameter and solve for d. Please note that the height is given in millimeters, not inches, so a conversion is necessary.

  V = (π/3)(d/2)²h

  12V/(πh) = d²

  d = 2√(3V/(πh)) = 2√(3(2.2×10^4 in^3)/(π·1530 mm/(25.4 mm/in))

  = 2√(1.6764×10^6/(π·1.53×10^3) in^2)

  d ≈ 37.35 in

The base diameter of the cone is about 37.35 inches.

4 0
3 years ago
Hey! please help i’ll give brainliest!
devlian [24]

Answer:

D it will remain at rest

Step-by-step explanation:

Balanced force is two forces pushing the same amount on different sides of an object. If you and a friend tried pushing a table from either side with the same amount of force, it wouldn’t move.

5 0
3 years ago
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