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4 years ago

Which description best describes the association between the years and population in this scatter plot?

Mathematics

1 answer:

Pavlova-9 [17]4 years ago

3 0

Answer:

"moderate negative"

Step-by-step explanation:

When two variables are correlated, a tendency, negative or positive, can be distinguished in the dispersion chart.

When the trend is positive it means that one variable increases when the other also increases.

When the trend is negative it means that one variable decreases as the other increases ..

The relationship between both variables can be strong or weak.

If the relationship is strong, the points in the scatter diagram will increasingly resemble a line (if it is a linear relationship).

If the relationship is weak, the points will be more and more scattered without any relation between them.

In this case it is observed that when the years increase the population decreases. Therefore it is a negative relationship. The distribution of the points resemble moderately to a straight line. Therefore, the correct option is "moderate negative"

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A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes a) are there in total?

attashe74 [19]

Answer:

There are 256 ways in total.

There are 56 possible outcomes contain exactly three heads.

The possible outcomes contain at least three heads is 219.

The possible outcomes contain the same number of heads and tails are 70.

Step-by-step explanation:

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are:

$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8=256$

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination: $\binom{n}{r}=\frac{n!}{r!(n-r)!}$

$\binom{8}{3}=\frac{8!}{3!(5)!}=56$

Hence, there are 56 possible outcomes contain exactly three heads.

Part (c) contain at least three heads?

For 3 heads: $\binom{8}{3}=\frac{8!}{3!(5)!}=56$

For 4 heads: $\binom{8}{4}=\frac{8!}{4!(4)!}=70$

For 5 heads: $\binom{8}{5}=\frac{8!}{5!(3)!}=56$

For 6 heads: $\binom{8}{6}=\frac{8!}{6!(2)!}=28$

For 7 heads: $\binom{8}{7}=\frac{8!}{7!(1)!}=8$

For 8 heads: $\binom{8}{8}=1$

Now add them as shown:

56+70+56+28+8+1=219

Hence, the possible outcomes contain at least three heads is 219.

Part (d) contain the same number of heads and tails?

Same number of heads and tails means that the value of r=4.

Therefore,

$\binom{8}{4}=\frac{8!}{4!(4)!}=70$

Hence, the possible outcomes contain the same number of heads and tails are 70.

6 0

3 years ago

(GIVING BRAINLIEST). Daria earns $17.50 per customer when she gives haircuts. If she gave x haircuts on Monday and y haircuts on

Brilliant_brown [7]

Answer:

B. 17.50(x + y)

Step-by-step explanation:

So lets find the equation for monday:

It would be 17.50 times x

or:

17.50(x)

For Tuesday:

17.50 times y

17.50(y)

17.50(x) + 17.50 (y) = 17.50(x+y)

Or B.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0

3 years ago

158÷79<br><br> SHOW WORK<br><br> Plz help

stich3 [128]

_2_
79/158 = 2
158

79x2= 158

4 0

3 years ago

What is the slope of each line? Line A: y = one-half x minus 4 Line B: y = 2 x minus 3 The slope of line A Equals one-half. The

Anestetic [448]

Answer:

The slope of line A equals one-half. The slope of line B equals 2.

Step-by-step explanation:

The equation of Line A is given by : $y = \frac{1}{2} x - 4$ ........... (1)

The equation of Line B is given by : y = 2x - 3 ............. (2)

Those two equations are in slope-intercept form i.e. y = mx + c, where m is the slope of the line.

Now, the slope of line A equals one-half. The slope of line B equals 2.

Therefore, option 1 will be correct. (Answer)

5 0

3 years ago

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The scale factor from rectangle Y to rectangle Z is 2. Which statement is true?

VMariaS [17]

Answer:

C is true

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers