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2 years ago

HURRY I'M TIMED!!!!! What kind of dot would be appropriate for the graph of the inequality t ≤ -3?

Mathematics

2 answers:

irina1246 [14]2 years ago

6 0

It would be a closed circle or "dot" since it is a less than or equal to sign.

Triss [41]2 years ago

3 0

Closed becuase it's less than or equal too so it includes the point

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A school sing games played 160 games and won 65 percent of them how many games did the team win?

jonny [76]

The team won 104 games
160 * 0.65 = 104

8 0

2 years ago

Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviat

drek231 [11]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

Step-by-step explanation:

For this case we have the following probability distribution given:

X 0 1 2 3 4 5

P(X) 0.031 0.156 0.313 0.313 0.156 0.031

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

We can verify that:

$\sum_{i=1}^n P(X_i) = 1$

And $P(X_i) \geq 0, \forall x_i$

So then we have a probability distribution

We can calculate the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

6 0

3 years ago

Round 5.242 to the nearest TENTH

Alex787 [66]

5.242 to the nearest tenth is 5.2.
6.537 to the nearest tenth is 6.5.
11.382 to the nearest tenth is 11.4.

8 0

3 years ago

Read 2 more answers

Help more than 10 points

Drupady [299]

Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in

ratios give
h = 7(8)/8
h = 7

b = 8/2
b = 4

Area Triangle = 0.5(7)(4)
= 14

Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²

3 0

3 years ago

5z ^ 3 - 2z ^ 4 - 9z ^ 2 + z What is the degree of the polynomial ?

Mariulka [41]

Answer:

Step-by-step explanation:

For any polynomial, we can determine the degree by finding the variable with the largest exponent. For the given polynomial:

$5z^{3} - 2z^{4} -9z^{2} + z$

we can see that $-2z^{4}$ contains the variable with the highest exponent, 4, so the degree of this polynomial is 4.

8 0

2 years ago

Read 2 more answers