Answer:
7
Step-by-step explanation:
We want to find the number 4-digit of positive integers n such that removing the thousands digit divides the number by 9.
__
Let the thousands digit be 'd'. Then we want to find the integer solutions to ...
n -1000d = n/9
n -n/9 = 1000d . . . . . . add 1000d -n/9
8n = 9000d . . . . . . . . multiply by 9
n = 1125d . . . . . . . . . divide by 8
The values of d that will give a suitable 4-digit value of n are 1 through 7.
When d=8, n is 9000. Removing the 9 gives 0, not 1000.
When d=9, n is 10125, not a 4-digit number.
There are 7 4-digit numbers such that removing the thousands digit gives 1/9 of the number.
Step-by-step explanation:
Total weight of all 3 books = 2 7/16 + 1 7/8 + 1/2
Finding the common denominator,
2 7/16 = 39/16
1 7/8 = 15/8 = 30/16
1/2 = 8/16
Total = 39/16 + 30/16 + 8/16
= 77/16 = 4 13/16 pounds = 5 pounds
Total is less than 6 pounds. So, Gina can ship all 3 books.
Answer:
P(A)=0.55
P(A and B)=P(A∩B)=0.1265
P(A or B)=P(A∪B)=0.7635
P(A|B)=0.3721
Step-by-step explanation:
P(A')=0.45
P(A)=1-0.45=0.55
P(B∩A)=?
P(B|A)=0.23
P(B|A)=(P(A∩B))/P(A)
0.23=(P(A∩B))/0.55
P(A∩B)=0.23×0.55=0.1265
P(A∪B)=P(A)+P(B)-P(A∩B)
=0.55+0.34-0.1265
=0.7635
P(A|B)=[P(A∩B)]/P(B)=0.1265/0.34 ≈0.3721
<span>First we will find all factors under the square root: 147 has the square factor of 49.Let's check this width √49*3=√147. As you can see the radicals are not in their simplest form.Now extract and take out the square root √49 * √3. Root of √49=7 which results into 7√3<span>All radicals are now simplified. The radicand no longer has any square factors.
the answer is </span></span><span>7√3
hopes thats helps
</span>
61 is a prime number not composite
