Answer:
Step-by-step explanation:
Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = test reults
µ = mean score
σ = standard deviation
From the information given,
µ = 1700 points
σ = 75 points
We want to the probability that a student will score more than 1700 points. This is expressed as
P(x > 1700) = 1 - P(x ≤ 1700)
For x = 1700,
z = (1700 - 1700)/75 = 0/75 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
P(x > 1700) = 1 - 0.5 = 0.5
Answer:
The blue area is y is less than or equal to 5
The purple area is y is greater than or equal to x.
The green area is less than or equal to 2.
Step-by-step explanation: The solid lines indicate that y=5, y=x. and x=2 Also the shaded regions would be y<5, y>x and x<2
Sorry my keyboard doesn't have the symbols for <= less than or equal to or greater than or equal to >= so I have to spell them out.
Complementary best describes their measures.
Complementary describes 90°.
Supplementary describes 180°.
Congruent describes two figures/lines that are similar.
Linear describes a straight line.
It takes Tom <u>90 minutes</u> to reach at the work.
Given,
Total time taken by paul = 45 minutes
Time taken by tom = x
According to the question,
the equation will be -
45 = (1/3)x + 15
On solving,
45 - 15 = (1/3)x
30 = (1/3)x
x = 90 minutes
So, it takes, tom 90 minutes to reach
<h3>What is a linear equation?</h3>
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
To learn more about linear equations from given link
brainly.com/question/12997032
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Answer:
1, 500km
Step-by-step explanation:
