A drawer contains 3 tan sweaters and two black sweaters. You randomly choose two sweaters. What is the probability that both sweaters are black?
Answers
P(A) = 2/5 since there are 2 black out of 2+3 = 5 total
After you make a selection, we have the event
B = event that you select another black sweater assuming event A has happened already
P(B) = 1/4 because there's 1 black sweater left out of 5-1 = 4 left over
Multiply the probabilities
P(A and B) = P(A)*P(B)
P(A and B) = (2/5)*(1/4)
P(A and B) = 2/20
P(A and B) = 1/10
The answer as a fraction is 1/10
In decimal form, it is 0.1
As a percent, the answer is 10%
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8. John is looking for a job after graduation. The salary which he is satisfied with must be$3000 with a tolerance of $500. Choose the salary John would accept.A $3.478B. $3.792C. $2,489D. $2,256
How many centimeters are equivalentto 2.5 meters?
What is the value of x in the equation 8+4 = 2(x-1)?511/213/27
The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form. An algebra tile configuration. Only the Product spot is shown. 6 tiles are in the Product spot in 4 columns with 2 rows. First row: 1 + x squared, 1 + x. Second row: 1 + x, 3 +. What is this function written in vertex form? f(x) = (x + 2)2 + 3 f(x) = (x2 + 2x)2 + 3 f(x) = (x + 1)2 + 2 f(x) = (x + 3)2 + 2x
Answers
Answer:
20
Step-by-step explanation:
- x+20%=24
- x+x*20/100=24
- x+0.2x=24
- 1.2x=24
- x=24/1.2
- x=20
Answers
Answer:
(0, 1).
Method 1 (Substitution):
Substituting our two y's, we get the following:
Thus, the only set of solutions is (0, 1). A quick sketch (either by hand or on Desmos) can confirm this.
Method 2 (Elimination):
We have two equations. We'll let the top one be equation 1 and the bottom one be equation 2. Eliminating as many variables as we can, we subtract (2) from (1) to get:
0 = 3x => x = 0.
So the only set of solutions is (0, 1).
Method 3 (Gaussian elimination):
We can place this in an augmented matrix and row reduce.
Row reducing this gives us:
This tells us that the only solution for x is x = 0 (since we read this as "3x = 0") and thus, the only solution we get is (0, 1).
Answers
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
G (x) = f (x + h)
G (x) = (x + 5) ^ 2
Answer:
The graph of G (x) is given by:
G (x) = (x + 5) ^ 2
option D
This means a horizontal translation of 5 units to the left of F(x) will result in G(x). Such a translation can be obtained from adding 5 to each x in the equation.
So,
G(x) = F(x+5)
F(x) = (x+5)²
So the correct answer is option D
Answers
Answer:
n = 10.286 aprox.
Step-by-step explanation:
n+4 + n/6 = 16
n/6 = 16 - 4 - n
n = 6(12-n)
n = 6*12 + 6*-n
n = 72 - 6n
n + 6n = 72
7n = 72
n = 72/7
n = 10.286 aprox.
verify:
10.286 + 4 + (10.286/6) = 16
14.286 + 1.714 = 16
Answers
Answer:
- y = -2x + 7
Step-by-step explanation:
Solve for y:
- 2x + y = 7
Add - 2x to both sides
- 2x + y - 2x = 7 - 2x
- y = 7 - 2x
or
- y = -2x + 7
30 cents for each additional minute. Find the cost
of a 15-minute call.
Answers
Answer: $4.40 is the cost for the call