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solniwko [45]
3 years ago
10

Maths Homework - 10A1 - Due 02/12

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

The answer is below

Step-by-step explanation:

a) To complete the table of values for y = 3x - 1, we substitute the value of x into the equation and find y.

For x = -2, y = 3(-2) - 1 = -7; For x = -1, y = 3(-1) - 1 = -4

For x = 0, y = 3(0) - 1 = -1;    For x = 1, y = 3(1) - 1 = 2

For x = 2, y = 3(2) - 1 = 5;    For x = 3, y = 3(3) - 1 = 8

x:    -2      -1        0        1         2       3

y:    -7      -4       -1        2         5      8

b) The graph is drawn using geogebra online graphing calculator.

c) From the graph, When x = 2.5, y = 6.5

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Renee scores an average of 153 points in a game of bowling, and her points in a game of bowling are normally distributed. Suppos
Lelu [443]

Answer:

\sigma=\frac{175-153}{2}=11

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent points in a game of bowling of a population, and for this case we know the distribution for X is given by:

X \sim N(153,unknown)  

Where \mu=153 and \sigma=?

We know that the value for Renee is X=175 and the z score obteined was Z=2.

Solution to the problem

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{X-\mu}{\sigma}

We are interested on the value of \sigma and we can solv for it:

z \sigma = X-\mu

\sigma=\frac{X-\mu}{z}

And replacing the values we have:

\sigma=\frac{175-153}{2}=11

 

5 0
3 years ago
Read 2 more answers
HELP!!! A cell phone is 132 mm long and 57 mm wide. What is ratio of the width and length in simplest form.
GalinKa [24]

The ratio of width to length in simplest form is 19 : 44

<em><u>Solution:</u></em>

Given that, A cell phone is 132 mm long and 57 mm wide

Length of cell phone = 132 mm

Width of cell phone = 57 mm

We have to find the ratio of width and length in simplest form

\frac{Width}{Length} = \frac{57}{132}\\\\\text{Reduce to lowest terms }\\\\\frac{width}{length} = \frac{57 \div 3}{132 \div 3}\\\\\frac{Width}{Length} = \frac{19}{44}

In ratio form, we know that,

\frac{a}{b} = a : b

Writing in ratio form, we get

Width : length = 19 : 44

Thus the ratio of width to length in simplest form is 19 : 44

6 0
3 years ago
If f(x)=3x^2-1 and g(x)=x+2, find (f+g)(x)
algol13
Answer:
(f+g)(x) = 3x^2 + x + 1

Explanation:
We are given that:
f(x) = 3x^2 - 1
g(x) = x + 2
To find (f+g)(x), all we have to do is add the above to functions as follows:
(f+g)(x) = f(x) + g(x)
= 3x^2 - 1 + x + 2
= 3x^2 + x + 1

Hope this helps :)
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3 years ago
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What factor of the number 144is neither prime nor composite
butalik [34]
There isn't a factor that isn't prime or composite.
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Alexxandr [17]

Answer:

f(2) = 2

Step-by-step explanation:

Substitute x=2 for x, but there is no x on the right side of the equation.

So since it is a straight line of f(x) =4, for any x, f(x)=2

3 0
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