X + 19 ≥ 8.3 <<< your inequality equation
x ≥ 8.3 - 19
x ≥ -10.7 << your solution
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Answer:
Probability that next week's show will have between 30 and 37 million viewers is 0.2248.
Step-by-step explanation:
We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.
<em>Let X = number of viewers for the American Idol television show</em>
So, X ~ N(
)
Now, the z score probability distribution is given by;
Z =
~ N(0,1)
where,
= population mean = 26 million
= standard deviation = 8 million
So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X
30)
P(X < 37) = P(
<
) = P(Z < 1.38) = 0.91621
P(X
30) = P(
) = P(Z
0.50) = 0.69146
<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>
Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.
Answer:
x-intercept: 4
y-intercept: 2
Step-by-step explanation:
finding the x-intercept:
first, substitute y = 0.
2x + 4 x 0 = 8
then, remove the 0.
2x + 0 = 8
then, divide both sides. 2x = 8
so, x = 4.
finding the y-intercept:
first, substitute x = 0.
then, solve.
2 x 0 + 4y = 8
so, y = 2.
Answer:
a. 13/3
b. 3 3/4
d. 1 7/8
c. 7/2
Step-by-step explanation:
a. 4 1/3 given
4*3=12 multiply the whole numbers with the denominator
12+1 =13 add the numerator to the product
13/3 put sum over denominator
b. 15/4 given
15/4=3 with a remainder of 3 divide numerator by denominator
3 3/4 rewrite as mixed number
d. 15/8 given
15/8=1 with a remainder of 7 divide numerator by denominator
1 7/8 rewrite as mixed number
c. 3 1/2 given
3*2=6 multiply whole number by denominator
6+1=7 add numerator to product
7/2 put sum over denominator