Simple Pythagorean theorem, And if you double check Tamara's work she is correct. Therefor B is the correct answer.
Answer:
Step-by-step explanation:
<u>We can observe that:</u>
- The difference of the second and third numbers is equal to 17
- The difference of the first and fourth numbers is equal to 13
<u>Therefore the missing pair will be:</u>
- 20+17 = 37 and 28 + 13 = 41
Correct choice is A
Answer:
If it is less than 3, Player 1 earns 3 points.
If not, Player 2 earns 2 points.
Step-by-step explanation:
<u>Player 1</u> :
p(N < 3) = p(N = 1 or N = 2) = 2/5
<u>Player 2</u> :
p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5
<u>We notice that</u> :
p(N < 3) × 3 = (2/5) × 3 = 6/5
On the other hand,
p(N ≥ 3) × 2 = (3/5) × 2 = 6/5
since ,the probability player 1 win multiplied by the associated number of points (3)
is equal to
the probability player 2 win multiplied by the associated number of points (2).
Then the game is fair.
Answer: the length is 87 feet
The width is 40 feet
Step-by-step explanation:
Let L represent the length of the playing field.
Let W represent the width of the playing field.
The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of a playing field for a certain sport is 254 ft. This means that
254 = 2(L + W)
L + W = 254/2
L + W = 127 - - - - - - - - - - - -1
The length is 47 ft longer than the width. This means that
L = W + 47
Substituting L = W + 47 into equation 1, it becomes
W + 47 + W = 127
2W + 47 = 127
2W = 127 - 47 = 80
W = 80/2 = 40
L = W + 47 = 40 + 47
L = 87
Answer:
B
Step-by-step explanation:
Here, we are to give the reason why we would reject the null hypothesis during the hypothesis testing.
In considering whether to accept the null hypothesis or reject the null hypothesis, we have to take into consideration two things.
The p-value and the alpha value. The p-value refers to the probability which is directly obtainable from the standard score which is referred to as the z-score while the alpha refers to the level of significance.
Now, when the p-value is less than alpha, we simply reject the null hypothesis and accept the alternative hypothesis. In a case however, we have the value of p greater than or equal to the significance level alpha, we simply accept the null hypothesis in this case.
The question asks for a rejection case and this can happen only when the p-value is less than the level of significance alpha
