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pshichka [43]
3 years ago
7

John has 300 watermelons. He sells 150. How many does he have?

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

150

Step-by-step explanation:

300-150

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boyakko [2]

Ok lol

What you need help with

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3 years ago
What is the length of CD? In this diagram
julia-pushkina [17]
What diagram?????????????
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I please need help with this question. Thank you
Diano4ka-milaya [45]

Part (A)

The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.

The output variable is the y value, which in this case is the height. The units for the height is in inches.

====================================================

Part (B)

We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.

Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.

A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.

While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.

As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.

====================================================

Part (C)

The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728

So the rate of change is 1.728 inches per shoe size.

In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.

---------------------------------------------------------

Extra info:

The equation

Height = 51.46 + 1.728(Shoe Size)

is the same as

y = 51.46 + 1.728x

where x is the shoe size and y is the height

We can rearrange that into

y = 1.728x + 51.46

So that it matches with the familiar y = mx+b slope intercept form. This is optional.

3 0
3 years ago
Find the probability of at least three successes in six trials of a binomial experiment in which the probability of success is 5
Amanda [17]

Answer:

31.3%

Step-by-step explanation:

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is  

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)  

We are interested in the x^3y^3 term which represents exactly 3 successes. Since the probability of success and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is  

20/64 = .3125 which is 31.25% Rounding yo the nearest tenth gives us

8 0
3 years ago
Given that the average rate of change for y = f(x) over the interval [0,3] is −1, the average rate of change over the interval [
Svet_ta [14]

Answer:

Answer is 2

Step-by-step explanation:

We know that average rate of change of a function f(x) in the interval (a,b) is

\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx

Using this we can say that

\int\limits^0_3 {f(x)} \, dx =-1(3)=-3\\\int\limits^2_3 {f(x)} \, dx =5(1)=5\\\\\int\limits^2_6 {f(x)} \, dx =4(5)=20\\

Using properties of integration we have

3 to 6 integral = 20-5 =15

0 to2 integral = -3=5 =-8

Thus integral form 0 to 6 would be = -8+15+5 = 12

Average rate of change form 0 to 6 = \frac{12}{6} =2

Answer is 2

7 0
3 years ago
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