Given a polynomial f(x), if (x+2) is a factor. What else can be true?

¼ x 20 ⅛ x 56 0.16 x 32 4.5 x 9.1

Kay [80]

Answer:

¼ x 20 = 5

⅛ x 56 = 7

0.16 x 32 = 5.12

4.5 x 9.1 = 40.95

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

When a linear function has a slope of 5, what is the "run" part of the slope?

alukav5142 [94]

Slope equals rise over the run
so if slope = 5 then the rise also equals 5 and the run is 1

7 0

3 years ago

Hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. What is the smallest number of each that could

n200080 [17]

The lowest common denominator for 8 and 12 is 24. So you would need 3 packages of hotdogs and 2 packages of buns.

7 0

4 years ago

Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose t

andrezito [222]

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ. $e^{-\lambda.x}$

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - $e^{-\lambda.x}$

(a) Probability of distance at most 100m, with λ = 0.0143:

F(100) = 1 - $e^{-0.0143.100}$

F(100) = 0.76

Probability of distance at most 200:

F(200) = 1 - $e^{-0.0143.200}$

F(200) = 0.94

Probability of distance between 100 and 200:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = $\frac{1}{\lambda}$

E(X) = $\frac{1}{0.0143}$

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = $\sqrt{\frac{1}{\lambda^{2}} }$

σ = $\sqrt{\frac{1}{0.0143^{2}} }$

σ = 69.93

Distance exceeds the mean distance by more than 2σ:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - $e^{-0.0143*209.79}$ )

P(X > 209.79) = 0.0503

(c) Median is a point that divides the value in half. For a probability distribution:

P(X≤m) = 0.5

$\int\limits^m_0 f({x}) \, dx$ = 0.5

$\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx$ = 0.5

$\lambda.\frac{e^{-\lambda.x}}{-\lambda}$ = $-e^{-\lambda.x} + e^{0}$

$1 - e^{-\lambda.m}$ = 0.5

$-e^{-\lambda.m}$ = - 0.5

ln( $e^{-0.0143.m}$ ) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

6 0

4 years ago

Mike can stitch 7 shirts in 42 hours how long will it take to stitch 1 shirt

Alex_Xolod [135]

Answer:

42/7 is 6 so it would take Mike 6 hours to stich 1 shirt please give brainliest

Step-by-step explanation:

5 0

3 years ago