A florist divided 147 roses into bunches of 6. She had some roses left over, so she combined them with carnations to get a total
1 answer:
Answer:
3 carnations.
Step-by-step explanation:
We have been given that a florist divided 147 roses into bunches of 6. She had some roses left over.
Let us find the number of leftover roses by taking the largest multiple of 6 out of 147 or finding the remainder of 147 divided by 6 as:
6)147( 24
<u> 12</u>
27
<u> 24</u>
3
Since remainder is 3, so florist had 3 roses leftover.
We are also told that she combined the leftover roses with carnations to get a total of 6 flowers.
To find the number of carnation used by florist we will subtract number of roses from combined number of flowers.
Therefore, the florist used 3 carnations.
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Answer:
Approximate probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is less than 0.0005% .
Step-by-step explanation:
We are given that let X be the number that do some or all of their banking on the Internet.
Also; Mean, = 310/1000 or 0.31 and Standard deviation,
= 14.63/1000 = 0.01463 .
We know that Z = ~ N(0,1)
Probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is given by P(X <= 130/1000);
P(X <=0.13) = P( <=
) = P(Z <= -12.303) = P(Z > 12.303)
Since this value is not represented in the z table as the value is very high and z table is limited to x = 4.4172.
So, after seeing the table we can say that this probability is approximately less than 0.0005% .
Answer:
31 years to triple the investment
Step-by-step explanation:
Initial investment = 300
Triple amount that is final amount = 300*3= 900
rate of interest = 3.5 % = 0.035
we need to find out number of years (t)
for compounded continuously we use formula
A is the final amount
P is the initial amount
r is the rate of interest
t is the number of years
Divide both sides by 300
take 'ln' on both sides
ln(3) = 0.035t ln(e)
ln(e)= 1
t= 31.3889
Round to nearest whole number
t= 31 years