Answer:
21/676
Step-by-step explanation:
The total number of letters of the alphabet will be the total outcome which is 26 alphabets.
If consonant numbers are drawn out, the probability of drawing a consonant will be total consonants/total alphabets
Total consonants in the alphabet is 21.
Probability of drawing consonants = 21/26.
Since all the consonants are replaced before drawing a Z, our total outcome will not change i.e it will still be 26.
Probability of drawing a letter Z will be 1/26.
Therefore, the probability of drawing a consonant,replacing it, and then drawing a Z will be;
21/26×1/26
= 21/676
Answer:
m = - 7.5
Step-by-step explanation:
Given
9 + m = 1.5 ( subtract 9 from both sides )
m = - 7.5
Answer:
Interest for 1 year is $80.50
Step-by-step explanation:
Simple interest is given by the formula
I =PRT
where I is the interest, P is the principal, R is the rate in decimal form, and T is the time.
P =3500
R=.023
T = 1 (1 year)
I = (3500) * (.023) (1)
I = 80.50
Answer:
4(−19x+23) is equivalent to the expression
Step-by-step explanation:
Let us convert this equation from standard to slope intercept form first.
5x+4y=8
4y=-5x+8
y=-5/4x+2
For the other line to be perpendicular it has to have an opposite reciprocal slope. That would be 4/5. This will make the equation for the new line "y=4/5x+b". We just need to find the y-intercept. Using the point given...
5=4/5(10)+b
5=8+b
b=-3
Answer: y=4/5x-3