The first one is a dashed line and the second one is solid. Two points for the first one is (1,4) and (0,3). For the second one two points are (0,-3) and (1,0). From build the lines. Finally the first one is where y is greater so shade above the line with points like ( 10,10) or (7,8) in the shaded region. For the second one since y is less or equal to shade below the line with points like (-2,-10) or (-1,-5).
Answer:
x = 8
Step-by-step explanation:
Each side of the triangle on the left is divided by 3 to get the side of the triangle on the right.
We can find this by doing 18 ÷ 6 = 3
Then, knowing this, we do 24 ÷ 3 to get 8
I hope that helps!! :)
Part B is not clear and the clear one is;
P(X ≥ 6)
Answer:
A) 0.238
B) 0.478
C) 0.114
Step-by-step explanation:
To solve this, we will make use of binomial probability formula;
P(X = x) = nCx × p^(x)•(1 - p) ^(n - x)
A) 54% of U.S. adults have very little confidence in newspapers. Thus;
p = 0.54
10 random adults are selected. Thus;
P(X = 5) = 10C5 × 0.54^(5) × (1 - 0.54)^(10 - 5)
P(X = 5) = 0.238
B) P(X ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
From online binomial probability calculator, we have;
P(X ≥ 6) = 0.2331 + 0.1564 + 0.0688 + 0.01796 + 0.0021 = 0.47836 ≈ 0.478
C) P(x<4) = P(3) + P(2) + P(1) + P(0)
Again with online binomial probability calculations, we have;
P(x<4) = 0.1141 ≈ 0.114
Let X be a random variable representing the mean gray scale of each pixel.
P(110 ≤ X ≤ 140) = P(X < 140) - P(X < 110) = P(z < (140 - 125)/15) - P(z < (110 - 125)/15) = P(z < 1) - P(z < -1) = P(z < 1) - [1 - P(z < 1)] = 2P(z < 1) - 1 = 2(0.84134) - 1 = 1.68268 - 1 = 0.68268
Number of pixels that have gray scale of between 110 and 140 = 0.68268 x 1000000 = 682680 = approximately 680,000
Answer:
(i think)
5q3+25q2
Step-by-step explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.a
x2+bx+c
5⋅1(q2q)+25q2
Simplify each term
answer- 5q3+25q2