Answer:
y = 2x + 5+2 graph would shift by 2 unit.
Step-by-step explanation:
Given : y = 2x + 5 .
To find :If you wanted to shift the graph up what would be equation .
Solution : We have given that y = 2x + 5 .
BY the transformation rule ; if f(x) +k then graph would shift up by k units .
Then to shift the graph of y = 2x + 5 up we need to add something in 5
Like y = 2x + 5+2
Then graph would shift by 2 unit.
Therefore, y = 2x + 5+2 graph would shift by 2 unit.
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:
bottom left graph should be correct
Answer:
for me I think it's
Step-by-step explanation:
the answer is 7
Answer:
7.
Step-by-step explanation:
Calculate the means for each group:
mean of 0-4 is 2
mean of 5-9 is 7
mean of 10-14 is 12
Mean = (Sum of frequencies * mean) / sum of frequencies
= required mean = [ (2(2) + 1(7) + 2(12)] / (2+1+2)
= 35/ 5
= 7.