Answer:
y=9.25
Step-by-step explanation:
1. Plug in x=0.3 into the equation.
5(0.3)+2y=20
2. Simplify
1.5+2y=20
2y=18.5
3. Isolate y on the left side of the equation by dividing by 2 on both sides.
y=9.25
Using the normal distribution, the probability that a worker selected at random makes between $500 and $550 is: 2.15%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean mu and standard deviation sigma is given by:
Z = (X - mu)/sigma
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given as follows:
mu = 400, sigma = 50
The probability is the <u>p-value of Z when X = 550 subtracted by the p-value of Z when X = 500</u>, hence:
X = 550:
Z = (X - mu)/sigma
Z = (550 - 400)/50
Z = 3
Z = 3 has a p-value of 0.9987.
X = 500:
Z = (X - mu)/sigma
Z = (500 - 400)/50
Z = 2
Z = 2 has a p-value of 0.9772.
0.9987 - 0.9772 = 0.0215 = 2.15% probability.
More can be learned about the normal distribution at brainly.com/question/15181104
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Volume of square pyramid = a^2 x h/3
Volume of pyramid A = 9^2 x 10/3
Volume of pyramid A = 270 cubic inches.
Divide volume of B by A:
1350/270 = 5
5 x 100 = 500 % bigger
To check, rewrite 500% as a decimal and multiply by the volume of A:
500%/100 =5
270 x 5 = 1350
This equals the volume of B, so the scale was calculated correctly.
(x+9)^2+(y+4)^2=0
Because the radius is not given.
