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Natalka [10]
4 years ago
8

2. Write your own equation in slope intercept form. Identify the slope, m, and y-intercept, b.

Mathematics
2 answers:
liberstina [14]4 years ago
4 0
Slope intercept form
y = mx + b:

10 = 7x + 3

y = 10
slope (m) = 7
b = 3

standard form: 
Ax + By + C:

7x + 10y + 3

A = 7
B = 10
C = 3


hope this helps
Law Incorporation [45]4 years ago
3 0


<span>2. Write your own equation in slope intercept form. Identify the slope, m, and y-intercept, b. 
</span>slope intercept form : y = mx + b
so
equation
y = 2x + 1
slope, m = 2  and <span>y-intercept, b = 1

</span><span>3. Write your own equation in standard form. Identify the values of A, B and C.
standard form: Ax + By = C
so
equation

2x + 3y = 4

A = 2, B = 3 and C = 4</span>
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Out of 2,000 random but normally distributed numbers with a mean of 45 and a standard deviation of x, approximately 1,360 number
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\mathbb P(40\le Y\le50)=0.68

where Y is normally distributed with mean 45 and an unknown variance x^2.

Let's make the transformation to a random variable with a standard normal distribution:

\mathbb P\left(\dfrac{40-45}x\le\dfrac{Y-45}x\le\dfrac{50-45}x\right)=\mathbb P\left(-\dfrac5x\le Z\le\dfrac5x\right)

Since Z is symmetric, we have

\mathbb P(-\dfrac5x\le Z\le\dfrac5x\right)=2\mathbb P\left(0\le Z\le\dfrac5x\right)=2\bigg(\mathbb P\left(Z\le\dfrac5x\right)-\mathbb P(Z\le0)\bigg)

The mean of Z is 0, and by symmetry we know that exactly half of the distribution falls to the left of Z=0, so \mathbb P(Z\le0)=0.5. We're left with

0.68=2\mathbb P\left(Z\le\dfrac5x\right)-2\cdot0.5
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This probability corresponds to a value of Z\approx0.9945, which means

\dfrac5x\approx0.9945\implies x\approx5.0277
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Given f(x)=2x and g(x)=x^2+8 find the following expressions.<br> ​(a)(f*g)(4)
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Step-by-step explanation:

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