Answer:
25 / 676
Step-by-step explanation:
There are 5 vowels in the alphabets, and there are 26 alphabets in total as a whole.
The probability of drawing a vowel kb first trial is going to be
5 / 26, total number of vowels and total number of alphabets as a whole.
Again, we're told to replace the picked vowel, and pick another vowel, so that will once again be
5 / 26.
To get the final answer, we multiply both answers by each other
5 / 26 * 5 / 26 = 25 / 676.
Therefore, the probability has been found to be 25 / 676
Answer:
5 stickers were put in each bag.
Step-by-step explanation:
There is a total of 56 presents and 7 gift bags. If she puts three pencils in each bag, 7 times 3 is 21. 56 presents minus 21 pencils is 35 presents left. 35 divided by 7 is 5, so there are 5 stickers in each bag.
Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.
Answer: The points of the images are (9,10), (15,6), (6,4) and the image is not a rigid motion because the shape changes in side.
Step-by-step explanation:
Since it gives you the scale factor then find they coordinates by multiplying the coordinates by the scare factor.
A(3,5) → (3*3,5*2) → (9,10)
B( 5,3) → (5*3, 3*2) → (15,6)
C ( 2,3)→ (2*3, 2*2)→ ( 6,4)
