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3 years ago

1.5555555555556 as a simplified fraction

Mathematics

2 answers:

sukhopar [10]3 years ago

7 0

2 or 1.56 sorry I can't give perfect answer

lesantik [10]3 years ago

5 0

It’s 1.55 because all those numbers can’t really relate to math

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This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards

liberstina [14]

Answer:

Given : The high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide.

The school decided to cover the semicircles with grass to create a space for stretching and other activities.

To Find: area of one of the semicircles at either end of the track

How many square yards of grass will the school need to cover the entire circle?

Solution:

Diameter of semicircle = 70 yards

Radius of semicircle = 70/2 = 35 yards

Area of semicircle at one end = (1/2)πr²

= (1/2)(22/7)35²

= 1,925 sq yards

area of one of the semicircles at either end of the track = 1,925 sq yards

square yards of grass will the school need to cover the entire circle

= 2 x 1,925

= 3850 sq yards

distance around one of the semicircles at either end of the soccer field = πr = (22/7) 35 = 110 yards

distance around the inner lane of the track = 100 + 100 + 110 + 110

= 420 yards

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Hope this Helps

4 0

3 years ago

Help, please! :(

Mashutka [201]

Answer:

A. The greatest one year increase in tuition ocurred from 1997 to 1998.

Step-by-step explanation:

If you look at the graph, at the points above 1997 and 1998, you'll see that the dots are separated by two lines, not just one.

3 0

3 years ago

What is the slope of line segment AB? Keep as a reduced fraction. B A

ladessa [460]

Answer:

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1) where (x1, x2) and (y1, y2) are points on the line

Plug in the points A (-3, -2) and B (1, 6)

(y2 - y1) / (x2 - x1)

(6 + 2) / (1 + 3)

8 / 4

= 2

So, the slope of line segment AB is 2.

4 0

4 years ago

In a multiple regression equation, two independent variables are considered, and the sample size is 30. The regression coefficie

MAXImum [283]

Answer:

Both the variables are important for the regression analysis and cannot be deleted.

Step-by-step explanation:

(1)

The hypothesis for for the testing of coefficient β₁ are:

H₀: β₁ = 0 vs. Hₐ: β₁ ≠ 0

The test statistic is:

$t=\frac{b_{1}}{S_{b_{1}}} =\frac{2.815}{0.75}= 3.753$

It is provided that H₀ is rejected if t > 2.042.

The test statistic value, t = 3.753 > 2.042.

Thus, the null hypothesis is rejected.

Conclusion:

There is a significant relationship between the regression variable and the dependent variable.

(2)

The hypothesis for for the testing of coefficient β₂ are:

H₀: β₂ = 0 vs. Hₐ: β₂ ≠ 0

The test statistic is:

$t=\frac{b_{2}}{S_{b_{2}}} =\frac{-1.249}{0.41}= -3.046$

It is provided that H₀ is rejected if t < -2.042.

The test statistic value, t = -3.046 < -2.042.

Thus, the null hypothesis is rejected.

Conclusion:

There is a significant relationship between the regression variable and the dependent variable.

Thus, both the variables are important for the regression analysis and cannot be deleted.

7 0

3 years ago

What is the vertex of the graph of f(x) = x2 + 10x - 9? A) (-5, -34) B) (-5, -9) C) (5, -9) D) (5, 66)

sukhopar [10]

Answer:

A) (-5, -34)

Step-by-step explanation:

f(x) = x^2 + 10x - 9

We complete the square to get the equation in vertex form

Take the coefficient of the x term and divide by 2 then square it. We add it and then subtract it not to change the value of the equation

f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9

f(x) = x^2 +10x +25 -25 -9

f(x) = (x^2 +10x +25) -34

The term in parentheses simplified to (x+10/2) ^2

= (x+5)^2 -34

= (x - -5)^2 -34

This is in the form (x-h)^2 +k

The vertex is (h,k) h=-5 and k=-34

(-5,-34)

4 0

3 years ago

Read 2 more answers