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3 years ago

State the null and alternative hypothesis: The average score of 40 high school basketball games is less than 26

Mathematics

1 answer:

Julli [10]3 years ago

3 0

Answer:

$H_o:\mu = 26$

$H_a:\mu < 26$

Step-by-step explanation:

Given

Average score is less than 26

Required

Determine the null and alternate hypothesis

Since the average is said to be less than 26; that represents the alternate hypothesis.

The null hypothesis will be:

$Average = 26$

So, we have:

$H_o:\mu = 26$

And the alternate hypothesis

$H_a:\mu < 26$

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Find both the vector equation and the parametric equations of the line through (0,0,0) that is perpendicular to both uequals

Pavel [41]

Complete Question:

Find both the vector equation and the parametric equations of the line through (0,0,0) that is perpendicular to both $u = < 2, 0, 2>$ and $w = < -2, 1, 0>$ where t = 0 corresponds to the first given point.

Answer:

Vector equation: (x, y, z) = (0, 0, 0) + t ( u x w)

Parametric equation:

x = -2t

y = -4t

z = 2t

Step-by-step explanation:

Since the line is perpendicular to $u = < 2, 0, 2>$ and $w = < -2, 1, 0>$ , we will find the cross product of u and w

$u \times w = \left[\begin{array}{ccc}i&j&k\\2&0&2\\-2&1&0\end{array}\right] \\\\u \times w = i(0-2) -j(0+4) + k(2)\\\\u \times w = -2i - 4j + 2k\\\\u \times w = < -2, -4, 2>$

The equation of the line can be given by:

(x, y, z) = (0, 0, 0) + t ( u x w)

(x, y, z) = (0, 0, 0) + t < -2, -4, 2 >

x = -2t, y = -4t, z = 2t

4 0

3 years ago

A piece of string 25 cm long goes exactly once round the edge of a plate in the form of a quadrant. Calculate the area of the qu

Shtirlitz [24]

Answer:

25 cm

Step-by-step explanation:

If the string is 25 cm and it goes perfectly around the edge of a plate. The plate, is 25 cm.

5 0

3 years ago

20 - (3 2/3 + 2 1/4 + 2 1/3) = ?

Alex777 [14]

Answer:

20-5 11/12= 9 11/12

Step-by-step explanation:

we do (3 2/3 + 2 1/4+ 2 1/3 )which is

3 8/12. 2 3/12 2 4/12 (common denominator)

then add 3 8/12 and 2 3/12 and 2 1/3 to get 10 1/12 then we get 20- 10 1/12 to get a final answer of 9 11/12

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4 years ago

Exponents -<br> m^3 x m^0

Deffense [45]

The answer is m^3

When multiplying the same base with an exponent (m), you add the exponents together.

In this case, it would be m^3+0, which equals m^3

That’s your answer

Also, just a reminder:
Anything to the power of 0 is equal to 1,

For example, 5^0 = 1

6 0

1 year ago

Draw a line through all points with a y-coordinate of -3.

Sedbober [7]

Answer:

See image below

Step-by-step explanation:

We want to draw a line through all points with a y-coordinate of -3; first let's observe some of these points: (-3,-3), (0,-3), (1,-3), (10,-3) are all part of this line.

We can see that what all these points have in common are that they have -3 in the y axis. Therefore, the graph of the line would be y = -3

This line is drawn in the graph below.

3 0

3 years ago