To answer this question you must make a come factor between the 2 fractions I believe the easiest way to do this is multiply the denominator or bottom number by the other one so 4*5 and 5*4 and what you do to the denominator you must do to the numerator so you would have to do 4*4 and 4*5 for the first fraction to get 16/20 and repeat on the other side 1*5 and 4*5 or 5/20 so the to fractions are 16/20+5/20 then add just the numerators 16+5=21 or 21/20 and simplify to 1/20
Answer:
LN = HJ
Step-by-step explanation:
If you look at the two triangles, you will see each side has a different number of lines on them. Each set of lines corresponds to the same set of lines on the other triangle.
So since side IH has one line the side on the other triangle with one line would be congruent. So that would be line ML.
Also if there are not lines on every side then you could identify the triangle by the red square in the corner meaning that that is a right angle (90 degrees.)
<u><em>Answer:</em></u>
y = -x² + 60x + 256 in²
<u><em>Explanation:</em></u>
<u>Before we begin, remember the following:</u>
yᵃ × yᵇ = yᵃ⁺ᵇ
<u>Now, for the given problem:</u>
We know that the area of the rectangle is the product of its dimensions (length and width)
<u>This means that:</u>
Area of rectangle = length × width
<u>Now, we are given that:</u>
length of game board = x+4 in
width of game board = -x+64 in
<u>Substitute with the givens in the rule it as follows: </u>
Area of rectangle = length × width
Area of board game = (x+4)(-x+64)
<u>Use the distributive property, compute the product and gather like terms as follows:</u>
Area of board game = (x+4)(-x+64)
Area of board game = x(-x) + x(64) +4(-x) +4(64)
Area of board game = -x² + 64x - 4x + 256
Area of board game = -x² + 60x + 256 in²
Hope this helps :)
A would be the correct answer because he is up in elevation so that makes the 1200 positive and he goes down 20.4 which is negative and is goes that far down!!
hope this helps
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
<em>p </em>= x / n
<em>p </em>= 91/110
<em>p </em>= 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
