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Mumz [18]
3 years ago
8

How does one explain how to graph a point on the coordinate grid?

Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer:

Firstly you have to know the x and y points,

then you use the coordinate grid to plot the points and then draw the graph from the points that has been plotted.

Hopefully this helps :)

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Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to hav
Svetllana [295]

Answer:

She needs a sample of at least 385.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

How large a sample should she take to achieve this?

She needs a sample of size at least n.

n is found when M = 0.04.

We do not know the true population proportion, so we use \pi = 0.5, which is the case for which we are going to need the largest sample size.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.05\sqrt{n} = 1.96*0.5

Dividing both sides by 0.05

\sqrt{n} = 19.6

(\sqrt{n})^{2} = 19.6^{2}

n = 384.2

Rounding up

She needs a sample of at least 385.

3 0
3 years ago
Calculate S30 for the arithmetic sequence defined by {an}={3.1n-2}
timurjin [86]

Answer:

c) 1,381.5.

Step-by-step explanation:

First term = 3.1 *1 - 2 = 1.1

2nd term = 3.1*2 - 2 =  4.2

3rd term = 3.1*3 - 2 = 7.3

so the common difference d = 3.1.

S30  = (30/2) [ 2* 1.1 + (30-1) * 3.1)]

= 1,381.5.

3 0
3 years ago
(Please Answer Quickly)
iren2701 [21]
For an airplane we need to create a function. The airplane flies in straight line so this means that we will have linear function. The airplane starts left of the rainbow. So let's take the following function:
y=x+8

"<span>Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow."
To find the intersection points we need to solve system of two equations:
</span>y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
Now we can create a table
x        -1    0     1    2
f(x)    35    36   37  38    
<span>

"</span><span>What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?"

The domain represents all possible values that x can have. The range represents all possible values that y can have.
In this example not all values make sense. Rainbow goes above ground and touches it.
Limitations exist if we have fraction, root, logarithm, trigonometric function... We do not have any of these so there are no limitations, so x can have any value.
Domain:  -6</span>≤x≤6   because x can not have smaller values than those at ground touch.
The formula for parabola is:
y=a x^{2} +b
Depending on sign of x^{2} the maximum or minimum value of y is equal to b. All other smaller or greater values are possible.
Range: 0≤y≤36     because y can not have smaller values than those at ground touch.

"<span>What are the x- and y-intercepts of the rainbow? Explain what each intercept represents."
x- and y- intercepts represent points at which function touches x- and y- axis.
To find y- intercept we insert x=0 into equation:
y=0+36
y=36
To find x- intercept we insert y=0
0=-</span>x^{2}+36
x^{2} =36 \\  x_{1} =-6 \\  x_{2} =6

"<span>Is the linear function you created with your table positive or negative? Explain."

Function is positive if it lies above x-axis. Function is negative if it lies below x-axis.
Positive on interval:  x </span>∈ <-6,∞>
Negative on interval: x ∈ <-∞,-6>
Not defined: x= -6


"What are the solutions or solution to the system of equations created?Explain what it or they represent."

We already found these solutions:
y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
These solutions represent points of intersection of linear function and parabola.

"Explain, using complete sentences, the steps for graphing the function."

Step 1) we need to find domain and range
Step 2) we need to find x- and y- intercepts
Step 3) if the function is exponential we find minima and maxima
Step 4) we find at least three values for the function

8 0
3 years ago
Y varies jointly as x, z, and w. when x=2, z=1, and w=12, then y=72. find y when x=1, z=2, and w=3
son4ous [18]
ANSWER: 18


EXPLANATION:

y=kxzw

where k is a constant
Making k the subject of the formula, we have

k=y/xzw

Inputting the values

k= 72/(2)(1)(12)

k=72/24

k = 3

Solving for y when x=1,z=2 and w=3

We have


y=kxzw

y = (3)(1)(2)(3)

y = 18
7 0
2 years ago
Suzl starts her hike at 300 feet below sea level. When she reaches the end of the
Angelina_Jolie [31]

For all the other viewers of this question, the change was -403 feet or you could say 403 feet i guess but the answer is -403 feet

7 0
3 years ago
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