Answer:
Step-by-step explanation:
Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Get the slope;
m = Δy/Δx = y2-y1/x2-x1
m = -10-(-3)/7-6
m = -10+3/1
m = -7
Get the intercept;
Substitute the point (6, -3) and m = -7 into the expression y = mx+c
-3 = -7(6)+c
-3 = -42 + c
c = -3 + 42
c = 39
Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c
y = -7x + 39
Hence the required equation is y = -7x + 39
Answer:
10 8 6 1
flour water sugar baking soda
? ? ? 3
30 24 18
four: 30 kilograms
water: 24 kilograms
sugar: 18 kilograms
baking soda: 3 kilograms
hope this helps <3
F(4) is equivalent to 28 because when you plug in 4 for the x, you get 28.
Answer:
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Step-by-step explanation:
Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:
X 1060 1400 1620
P(X) 0.5 0.1 0.4
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Answer:
option-B
Step-by-step explanation:
we know that
Sum rule of logarithm:

which is same as
the log of a product (ab) is equal to the addition of log a nad log b
Subtraction rule of logarithm:

which is same as
the log of the quotient of a and b is equal to the log of a minus the log of b
Exponent rule of logarithm:

which is same as
the log of the quantity a raised to b is equal to the product of b and the log of a
so,
option-B is not correct