Solve for x. Enter your answer in interval notation using grouping symbols X^2 + 5x

What shape are the sides of a rectangular pyramid?

Snowcat [4.5K]

Answer: Its a angle ...

Step-by-step explanation: Hope its fine.

5 0

3 years ago

SOCCER TRACK GOLF 112 74 59 # OF STUDENTS There are 450 7th graders at Lakeside Middle School. The chart above shows the number

enot [183]

Answer: about 14% of the 7 grade don't play sports

Step-by-step explanation: i think

3 0

2 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

3 years ago

Name the place of the highlighted digit 4 in 5.654

zvonat [6]

Answer:

The answer would be thousandth :)

Step-by-step explanation:

the Third number behind the decimal is always the thousandths place!

5 0

3 years ago

Kayson mixes 300 milliliterss of spinach, 200 mL of berries, and 42 mL of dressing to make a salad. There are sss milligrams of

melomori [17]

Let T be total number of milligrams of vitamin C in our salad.

We have been given that there are s milligrams of vitamin C per milliliter of spinach, B mg per milliliter of berries, and D mg per milliliter of dressing.

Let us find how much mg of vitamin C our each ingredient of salad will have.

We have been given that a salad contains 300 milliliters of spinach, 200 ml of berries, and 42 ml of dressing.

$\text{Mg vitamin C in 300 ml spinach}=300\cdot\text{s mg}$

$\text{Mg vitamin C in 200 ml berries}=200\cdot\text{B mg}$

$\text{Mg vitamin C in 42 ml dressing}=42\cdot\text{D mg}$

To find total milligrams of vitamin C in our salad we will add milligrams of vitamin C in each of three ingredients of salad.

$T=(300s+200B+42D)\text{ mg}$

Therefore, our desired expression will be $T=(300s+200B+42D)\text{ mg}$ .

5 0

3 years ago

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Solve for x. Enter your answer in interval notation using grouping symbols X^2 + 5x < 24