We get that the value of x is option (b) 70.
We are given an equation:
x / 90 = 7 /9.
An equation is an expression that has an equality sign in between.
For example: 2 x + 4 y = 6 or 4 x + 8 y = 9
We have to solve the equation to find the value of x.
First, cross multiplying the numbers, we get that:
x × 9 = 7 × 90.
Now simplifying the expression, we get that:
9 x = 630
Solving the expression to get the value of x:
x = 630 / 9
x = 70.
Therefore, we get that the value of x is option (b) 70.
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Answer:
Nirmala can use the lamp for 31.66 hours before it runs out of oil.
Step-by-step explanation:
From the graph,
Take any two points, let say
(15, 25)
(25, 10)




The equation of line in slope-intercept form

Putting
and any point, let say (25, 10), to find the y-intercept 'b'







So the equation of line will be:


In order to find how long Nirmala can use the lamp before it runs out of oil, we need to find x-intercept which can be obtained by putting y = 0, and solve for x, as duration lies on x-axis.
so

Putting y = 0










Therefore, Nirmala can use the lamp for 31.66 hours before it runs out of oil.
A. the outlier is 37
B. the mean with the outlier is 20
C. the mean without the outlier is 17.5
Answer:
Step-by-step explanation:

a = 2, b = 8, c = -5


The average score is 500 points and the standard deviation is 50 points.Mean - 2 SD = 500 - 2 * 50 = 500 - 100 = 400It means that more than 400 on the standardized test is more than: Mean - 2 Standard deviations.For the Normal distribution: 100% - 2.5 % = 97.5% = 0.975.Answer: The probability that student scores more than 400 points is 0.975.