Answer:
-6
Step-by-step explanation:
Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly
f(x) = 12 / 4x +2
Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side
f(-1) = 12/ 4(-1) + 2
f(-1) = 12 / - 4+2
= 12/ - 2
= - 6
The second line
least to greatest: -3, -2.4, -21/4, -1.5, -11/8
Answer:
Probability of more than 9 adult Australian sheep dogs out of 12 weighing 65 lb or more
P(X > 9) = 0.00788
Step-by-step explanation:
The only assumption required for the question is that all 12 adult dogs sampled must all be Australian sheep dogs.
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of adult dogs to be sampled = 12
x = Number of successes required = number of dogs that weigh 65 lb or more
= more than 9; >9
p = probability of success = probability of a dog weighing 65 lb or more = 0.45
q = probability of failure = probability of a dog NOT weighing 65 lb or more = 1 - 0.45 = 0.55
P(X > 9) = P(X=10) + P(X=11) + P(X=12)
Solving each of these probabilities, using the binomial distribution formula
P(X = x) = ¹²Cₓ (0.45)ˣ (0.55)¹²⁻ˣ with x = 10, 11 and 12
P(X > 9) = P(X=10) + P(X=11) + P(X=12)
= 0.00679820806 + 0.00101130368 + 0.00006895252
= 0.00787846427
= 0.00788 to 3 s.f
Hope this Helps!!!
12———-100%
8 ———— x
X=(8*100)/12=800/12=66.66%
Then discount percent is 100-66.66=33.33%
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
- If the equation of a line is ax + by = k is dilated, with center origin and scale factor k, then the equation of the image of the line is kax + kby = kc
- The line and its image are parallel
- The coordinates of a general point on the image is (kx , ky)
Line L is mapped onto the line T by a dilation centered at the origin and a scale factor of 3.
That means lint T is the image of line L after dilation
∵ The equation of line L is 2x - y = 7
∵ Line L is dilated by scale factor 3 and centered at origin
- That means multiply the equation of line L by 3 to find the
equation of line t
∵ Line T is the image of line L after dilation
∴ The equation of line T is (3)(2x) - (3)(y) = (3)(7)
∴ The equation of line T is 6x - 3y = 21
<em>Very important note:</em>
The equation of line T is the same with equation of line L but multiplied by the scale factor 3 ⇒ L and T are coincide lines (same line)
That means the equation of lines T and L is 2x - y = 7
The equation of line T is 2x - y = 7 ⇒ (6x - 3y = 21)
Learn more:
You can learn more about dilation in brainly.com/question/2480897
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