Answer:
a) 68.2%
b) 31.8%
c) 2.3%
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 530
Standard Deviation, σ = 119
We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.
Formula:

a) P(test scores is between 411 and 649)

b) P(scores is less than 411 or greater than 649)

c) P(score greater than 768)
P(x > 768)


Calculation the value from standard normal z table, we have,

Answer:
Hi there!
Your answer is: 150 people prefer that school assemblies be held on Friday afternoon
Step-by-step explanation:
3 out of 4 students means that 75% of students prefer assemblies on Friday afternoon!
To find 75% of 200:
200 = 100%
/100 to find 1%
2 people = 1%
Multiply it by 75 to determine 75%
2×75= 150
150people is 75% of 200 people!
I hope this makes sense! Let me know if you have questions!
Answer:
yes
Step-by-step explanation:
4x3-2=10>4
so it is true
Answer:
Expression: Y = -10/3 X
Y = 10/3
Step-by-step explanation:
If Y varies directly as X, then;
Y∝X
Y = kX
k is the constant of variation
If Y = 10 and X = -3
10 = -3k
k = -10/3
Substitute k = -10/3 into the expression Y = kX
Y = -10/3 X
This gives the required expression
To get the value of Y when X = -1
Recall that Y = kX
Y = -10/3 (-1)
Y = 10/3
Hence the value of Y is 10/3