Answer:
2/13 or 15.38%
Step-by-step explanation:
Number of Aces in a deck = 4
Number of 7s in a deck = 4
Number of cards in a deck = 52
Probability of A or 7 = (4 Aces + 4 Sevens) / 52 cards 8 cards / 52 cards
This simplifies to 2/13 or 15.38%
Answer:
Step-by-step explanation:
Left
When a square = a linear, always expand the squared expression.
x^2 - 2x + 1 = 3x - 5 Subtract 3x from both sides
x^2 - 2x - 3x + 1 = -5
x^2 - 5x +1 = - 5 Add 5 to both sides
x^2 - 5x + 1 + 5 = -5 + 5
x^2 - 5x + 6 = 0
This factors
(x - 2)(x - 3)
So one solution is x = 2 and the other is x = 3
Second from the Left
i = sqrt(-1)
i^2 = - 1
i^4 = (i^2)(i^2)
i^4 = - 1 * -1
i^4 = 1
16(i^4) - 8(i^2) + 4
16(1) - 8(-1) + 4
16 + 8 + 4
28
Second from the Right
This one is rather long. I'll get you the equations, you can solve for a and b. Maybe not as long as I think.
12 = 8a + b
<u>17 = 12a + b Subtract</u>
-5 = - 4a
a = - 5/-4 = 1.25
12 = 8*1.25 + b
12 = 10 + b
b = 12 - 10
b = 2
Now they want a + b
a + b = 1.25 + 2 = 3.25
Right
One of the ways to do this is to take out the common factor. You could also expand the square and remove the brackets of (2x - 2). Both will give you the same answer. I think expansion might be easier for you to understand, but the common factor method is shorter.
(2x - 2)^2 = 4x^2 - 8x + 4
4x^2 - 8x + 4 - 2x + 2
4x^2 - 10x + 6 The problem is factoring since neither of the first two equations work.
(2x - 2)(2x - 3) This is correct.
So the answer is D
Answer:
We conclude that supermarket ketchup was not as good as the national brand ketchup.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 100
p = 69% = 0.69
Alpha, α = 0.05
Number of stating that the supermarket brand was as good as the national brand , x = 56
a) First, we design the null and the alternate hypothesis
This is a two-tailed test.
b) Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.0049
c) Since the p-value is lower than the significance level, we fail to accept the null and reject it.
Thus, we conclude that supermarket ketchup was not as good as the national brand ketchup.
d) It need to be tested further whether the supermarket brand was worse than the national brand or better than the national brand.
