Answer: See explanation
Step-by-step explanation:
From the question, we are informed that last month $30 was spent on clothing and that this month, 160% of what was spent last month.
The equation to to model this situation will be:
= 160% × $30
= 160/100 × $30
= 1.6 × $30
= $48
That means $48 will be spent this month.
Pictures listed in order... from A-C
Answer:
0.0776
Step-by-step explanation:
In order to solve this problema, Baye´s rule is used. Ii is expressed as follows:
P(A if B)=(P(B if A)*P(A))/(P(B))
Let A be women who have cancer and let B be women who have positive mammographies
So, P(B if A) would be women with breast cancer get positive mammographies
P(B if A) = 0.8
P(A) would be women with breast cancer
P(A) = 0.01
P(B) would be the women with positive mammographies. We don´t know it.
In order to find it we use law of total probability
P(B) = P(positive mammographies and cancer) + P(positive mammographies without cancer)
P(B) = 0.8*.01+0.096*0.99
P(B) = 0.103
With P(B) calculated we can complete the equation:
P(A if B)=(0.8*0.01)/0.103=0.0776
Probability is 0.0776
Answer is choice C
The expression given is equivalent to -3i
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Explanation:
Using a calculator, a reference sheet, or the unit circle, you'll find that:
cos(270) = 0
sin(270) = -1
So this means
z = 3(cos(270)+i*sin(270))
z = 3(0+i*(-1))
z = 3*0+3*i*(-1)
z = 0-3i
z = -3i
which is in a+bi form where a = 0 and b = -3
Answer:
see below
Step-by-step explanation:
Use the distributive property:
(y^2 +3y +7)(8y^2 +y +1)
= y^2(8y^2 +y +1) +3y(8y^2 +y +1) +7(8y^2 +y +1)
= 8y^4 +y^3 +y^2 + 24y^3 +3y^2 +3y + 56y^2 +7y +7
= 8y^4 +y^3(1 +24) +y^2(1 +3 +56) +y(3 +7) +7
= 8y^4 +25y^3 +60y^2 +10y +7 . . . . . matches the last choice
