A 176 inch pole is leaning up against a wall, but is sliding down the wall so that the vertical distance between the top of the
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Answer:
a: 28 < µ < 34
Step-by-step explanation:
We need the mean, var, and standard deviation for the data set. See first attached photo for calculations for these...
We get a mean of 222/7 = 31.7143
and a sample standard deviation of: 4.3079
We can now construct our confidence interval. See the second attached photo for the construction steps.
They want a 90% confidence interval. Our sample size is 7, so since n < 30, we will use a t-score. Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)
The t-value is: 1.943
We rounded down to the nearest person in the interval because we don't want to over estimate. It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate. It's better to use 28 and underestimate a little when considering customer flow.
Answer:
f(x) = -5x + 250
Step-by-step explanation:
* Lets explain how to solve the problem
- In week 10 the manufacturer fixed 200 cars
- In week 15, the manufacturer fixed 175 cars
- the reduction in the number of cars each week is linear
- The form of the linear equation is y = mx + c, where m is the slope of
the line which represent the equation and c is the y-intercept
- The slope of the line m =
where (x1 , y1) and (x2 , y2) are two points on the line
* Lets solve the problem
- Assume that the weeks' number is x and the cars' number is y
∴ (10 , 200) and (15 , 175) are two points on the line which represent
the linear equation between the cars' numbers and the weeks
numbers
∵ Point (x1 , y1) is (10 , 200) and point (x2 , y2) is (15 , 175)
∴ x1 = 10 , x2 = 15 and y1 = 200 and y2 = 175
- Use the rule of the slope above to find m
∴
- Substitute the value of x in the form of the linear equation above
∴ y = -5x + c
- To find c substitute x and y by one the coordinates of one of the
two points
∵ x = 10 when y = 200
∴ 200 = -5(10) + c
∴ 200 = -50 + c
- Add 50 to both sides
∴ 250 = c
- Substitute the value of c by 250
∴ y = -5x + 250, where the number of cars seen each week is y and
x is the number of the week
∵ f(x) = y
∴ f(x) = -5x + 250
Answer:
45 degree
Step-by-step explanation:
We are given that
Angle PSR=99 degrees
Angle PSQ=(3x+18) degrees
Angle QSR=(9x-27)degrees
According to question
Angle PSR=Angle PSQ+angle QSR
Substitute the values
Substitute the value of x
Angle PSQ=
Hence, the measure of angle PSQ=45 degree