Answer:
(f * g)(x) has a final product of 16x² + 8x.
Step-by-step explanation:
When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.
<em>f(x)=8x</em>
<em>g(x)=2x+1</em>
Now, we multiply these terms together.
(8x)(2x + 1)
Use the foil method to multiply.
16x² + 8x
So, the product of these terms is 16x² + 8x.
Answer:
35 degrees.
Step-by-step explanation:
It's a reflective sideway triangle.
Answer:
x+2
Step-by-step explanation:
The firs 3 observations are x, x+2, x+4
Mean = sum of data/samaple size
Mean = x+x+2+x+4/3
MEan = 3x+6/3
Mean = 3(x+2)/3
Mean = x+2
Hence the required mean is x+2
a) For x = 27:
z = 27-28/2 = -0.5
For x = 31:
z = 31-38/2 = 1.5
From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%
b) For x > 30.2:
z = 30.2-28/2 = 1.1
From the normal distribution table, P(x > 30.2) = P(z > 1.1) = 1 - P(z > 1.1) = 1 - 0.8643 = 13.57%
Answer:
25%
Step-by-step explanation:
Height of all the bars in chart = 2 or more is 10, 3, 1.
Add all the bars to give us exact amount of data required = 10 + 3 + 1 = 14
Total number of students in class = 56
Percentage of class having two or more student = (14/56) * 100% = 25%
