Answer: 3/2
Step-by-step explanation:
Since, two variables are called proportional if there is always a constant ratio between them.
And, The constant is called the coefficient of proportionality or proportionality constant.
Let x and y are proportional to each other.
Therefore, x ∝ y ⇒ y=kx
Where k is any constant.
For, x=2 and y=3 k= 3/2
For, x=4 and y=6, k=3/2
For x=6 and y=9, k= 3/2
Since, here the value of k is constant.
Therefore, k is the coefficient of proportionality.
And, given table is propositional.
Every kilogram of cinnamon red hot costs $4
and every kilogram of qummy bears costs $9
good luck
Answer:
P(X≥75)= 0.22663
Step-by-step explanation:
Hello!
The variable has a normal distribution with mean μ= 67 and a standard deviation δ= 8.
X~N(μ;δ²)
You need to find the probability that a randomly selected X value is at least 75, i.e. 75 or more, symbolically:
P(X≥75)
To calculate this probability is best to work using the standard normal distribution. This distribution is derived from the normal distribution. Considering a random variable X with normal distribution, mean μ and variance δ², the variable Z =(X-μ)/δ ~N(0;1) is determined.
The standard normal distribution is tabulated. Any value of any random variable X with normal distribution can be "converted" by subtracting the variable from its mean and dividing it by its standard deviation.
Using the formula and the values of the parameters of the population you have to standardize the value of X
Z= (X-μ)/δ = (75 - 67)/ 8= 0.75
Now you can express the probability under the standard normal distribution:
P(X≥75) = P(Z≥0.75)
The Z-tables show probability values P(Z≤z₁₋α)= 1 - α, then:
P(Z≥0.75)= 1 - P(Z<0.75)= 1 - 0.77337= 0.22663.
I hope it helps!
Answer:
C. 8(2.4x + 1.2)
Step-by-step explanation:
Usually the answer would be 4(4.8x + 2.4) but there is no option for that, although there is c which is technically
4 (2) (2.4x + 1.2) because you're dividing the expression into a half.
Answer:
-1 1/3
Step-by-step explanation:
Convert any mixed numbers to fractions. New equation:
5/2 ÷ −15/8
Fraction division formula:
5x8/2x-15 = 40/-30
Convert:
-1 1/3