Answer:
15
Step-by-step explanation:
Answer:
1/8th
Step-by-step explanation:
since there are 24 hours in a day
Answer:
21x^2 + 20x + 4 = (3x + 2)(7x + 2).
Step-by-step explanation:
Given the expression is 21x² +20x +4
We can solve the equation as follows:-
21x² +20x +4 = 0
Then a = 21, b = 20, c =4.
Using Quadratic formula, x = ( -b ± √(b² -4ac) )/2a
x = ( -20 ± √(400 - 4*21*4) )/2*21
x = ( -20 ± √(400 - 336) )/42
x = ( -20 ± √(64) )/42
x = ( -20 ± 8 )/42
x = -28/42 or x = -12/42
x = -2/3 or x = -2/7
(x + 2/3) = 0 or (x + 2/7) = 0
Now the factored form can be written as follows:-
(x + 2/3)(x + 2/7) = 0
(3x+2)(7x+2) = 0
Hence, the factored form is 21x^2 + 20x + 4 = (3x+2)(7x+2).
Answer:
The probability is 0.245
Step-by-step explanation:
Call B the event: Nathan is allergic to penicillin.
We know from your family history that
So the probability that Nathan is not allergic to penicillin is
Then, the test has 98% accuracy, that is: The probability that the test result is correct is 0.98.
So the probability that the test predicts that Nathan is not allergic and is not really allergic is:
There is a 24.5% chance that Nathan is not allergic and the test predicts it
1) average weight=the sum of weights divided by number of buckets
average weight=(2.79+2.45+2.62)÷3
=2.62
2) recipe calls for 4 4/5=4+(4÷5)
=4.8
1 1/3=1+(1÷3)=4/3
So 4.8 times 4/3=6.4
3) Jordan took 1+1/2=1.5 hours
Kasey 3/4 an hour longer than Jordan
So Kasey took 1.5+(3÷4)=2.25 hours
4) 32.5÷(−0.08)=−406.25
5) 4.3x= 81.7
Solve for x by dividing both sides by 4.3 to get
X=81.7÷4.3
X=19
Hope it helps!
