Answer: the number of roses sold is 69 while number of tulips is 37
Step-by-step explanation:
Let x represent the number of roses that the flower shop sold.
Let y represent the number of tulips that the flower shop sold.
The number of roses sold was 5 less than twice the number of tulips sold. This means that
x = 2y - 5 - - -- -- - - - - - ;1
If the shop sold 106 flowers in total, it means that
x + y = 106
Substituting x = 106 - y into equation 1, it becomes
106 - y = 2y - 5
3y = 106 + 5 = 111
y = 111/3 = 37
x = 106 - y = 106 - 37
x = 69
Answer:
see explanation
Step-by-step explanation:
Given that y is inversely proportional to x then the equation relating them is
y =
← k is the constant of proportionality
To find k use the condition that y = 7, x = 9
k = yx = 7 × 9 = 63, thus
y =
← equation of proportion
When x = 21, then
y =
= 3
Standard Form is ax + by = c, where a, b, and c are not fractions and a is not negative.
So, you can go through each of your options to see which ones work with those rules.
A. 2.5x + 3y = 12 No, this is not in Standard Form. 2.5 can be rewritten as 2<span>

, menaing A is a fraction, which you can't have.
B. -10x - 3y = 1 No, this is not in Standard Form. A is -10, but A can't be negative.
C. 2x + 3y = 12 Yes, this is in Standard Form. It follows all of the rules.
D. 5x + 5y = 10 Yes, this is in Standard Form. It follows all of the rules.
So,
C and
D are both written in Standard Form.
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Answer:
0.0244 (2.44%)
Step-by-step explanation:
defining the event T= the chips passes the tests , then
P(T)= probability that the chip is not defective * probability that it passes the test given that is not defective + probability that the chip is defective * probability that it passes the test given that is defective = 0.80 * 1 + 0.20 * 0.10 = 0.82
for conditional probability we can use the theorem of Bayes. If we define the event D=the chip was defective , then
P(D/T)=P(D∩T)/P(T) = 0.20 * 0.10/0.82= 0.0244 (2.44%)
where
P(D∩T)=probability that the chip is defective and passes the test
P(D/T)=probability that the chip is defective given that it passes the test
A I think it’s A llllleeeeettt go