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Rus_ich [418]
3 years ago
8

Which equation represents a line that passes through (5, 1) and has a slope of 1/2?

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

C

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = \frac{1}{2} and (a, b) = (5, 1), so

y - 1 = \frac{1}{2}(x - 5)

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What is the solution problem for x=9.81.
mixer [17]
Wouldnt it be 9.81? you already found x just calculate it
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2 years ago
1 red marble, 3 green, 4 blue. What is the probability of picking a yellow marble?​
Alexandra [31]

Answer:

zero probability, which means impossible

Step-by-step explanation:

there are no yellow marbles to select from

7 0
3 years ago
The probability distribution of random variable, X, is defined as follows:
stealth61 [152]

Answer and Step-by-step explanation:

A) For the model to be a probability distribution, it has to follow two conditions:

1) The probability of each value of the discrete random variable is between, and included, 0 and 1:

2) The sum of all probabilities is 1;

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

E(X) = \Sigma xP(x)

E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3

E(X) = 2.6

D) P(X=3) = P(3), which means probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

3 0
3 years ago
The expression square root 5x is equivalent to the expression square root 5 <br> A. True Or B. False
Kitty [74]

Answer:

False

Step-by-step explanation:

sqrt(5x) cannot simplify to x*sqrt5 because the x variable is not squared.

4 0
3 years ago
Read 2 more answers
Given that f(x)=5x^3+ax^2-4x-2 and that (x-1) is a factor of f(x), find a.
stepladder [879]

Answer:

a=1

Step-by-step explanation:

Because x-1 is factor of f(x)

for x1=1, f(1)=0, then

f(1)=5*1^3+a*1^2-4*1-2=0

5*1+a*1-4-2=0

5+a-6=0

a-1=0

a=1

5 0
3 years ago
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