Answer:
8
Step-by-step explanation:
Recall the formula for the population mean of a data set:
We already know that μ is 6 and the sum is 48. Substitute:
Divide both sides by 48:
Reciprocal of both sides:
Thus, there are 8 scores in the population size.
And we're done!
Answer:
a = 5
Remainder when p(x) is divided by x+2 = 62
Step-by-step explanation:
Given:
P(x) = x⁴-2x³+3x²-ax+3a-7
When x+1 divides the polynomial p(x) the ramainder is 19.
Applying remainder theorem,
x = -1
p(-1) = 19
Substitute the x = -1 into the polynomial expression
p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19
1+2+3+a+3a-7 = 19
6-7+4a = 19
4a-1 = 19
4a = 19+1
4a = 20
a = 20/4
a = 5.
Hence, a = 5
p(x) = x⁴-2x³+3x²-5x+8
If p(x) is divided by x+2,
Then the remainder is p(-2)
p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8
p(-2) = 16+16+12+10+8
p(-2) = 62
Hence the remaider when p(x) is divided by x+2 is 62
Answer:
x = 4
Step-by-step explanation:
A = hb/2
4 = 2(x)/2
4 = x
Answer:
-x-3
Step-by-step explanation:
First, you need to distribute the 1/5 to both the term 5x and the term -15, which requires multiplication. This gives you 1x-3. The -2x can then be added on to this equation, which gives you 1x-3-2x. Combining the like terms of 1x and -2x gives you -x. The entire expression is then -x-3.
