Y=2x-pq rearrange the formula to make x the subject

For the wheat-yield distribution of Exercise 4.3.5, find

Setler79 [48]

Answer:

a) 90.695 lb

b) 85.305 lb

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 88, \sigma = 7$

(a) The 65th percentile

X when Z has a pvalue of 0.65. So X when Z = 0.385.

$Z = \frac{X - \mu}{\sigma}$

$0.385 = \frac{X - 88}{7}$

$X - 88 = 7*0.385$

$X = 90.695$

(b) The 35th percentile

X when Z has a pvalue of 0.35. So X when Z = -0.385.

$Z = \frac{X - \mu}{\sigma}$

$-0.385 = \frac{X - 88}{7}$

$X - 88 = 7*(-0.385)$

$X = 85.305$

6 0

2 years ago

The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal

mash [69]

Answer:

Part a) $y=-2x+4$

Part b) The coordinates of the point are $(\frac{4}{3},\frac{4}{3})$

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

$m=(0-4)/(2-0)=-2$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-2\\b=4$

substitute

$y=-2x+4$

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

$y=-2x+4$

substitute

$x=-2x+4\\3x=4\\x=\frac{4}{3}$

$y=x=\frac{4}{3}$

therefore

The coordinates of the point are $(\frac{4}{3},\frac{4}{3})$

6 0

2 years ago

What is the unit rate of 3 accidents in 12 months

Wewaii [24]

Simplify 3 to 12 Divide 3 1 to 4 So the answer is 1 car accident in 4 month ~JZ Hope it helps you out there

7 0

2 years ago

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A folk band sold CDs at a concert. Each single CD costs $12 and their double CDs cost $17. They sold 14 more single CDs than dou

attashe74 [19]

The band sold 33 single CDs and 19 double CDs.

33 x 12 = 396

19 x 17 = 323

396 + 323 = 719

7 0

2 years ago

which equation is in slope-intercept form and represents a line with slope 3 through the point (9,-4)

krek1111 [17]

Slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the line. Since we weren't given the y-intercept, one way to solve this problem is substitute the slope for the variable m and then the x and y values from the ordered pair to solve for b.

y = mx + b

y = 3x + b

-4 = 3(9) + b

Now, we can simplify by computing the multiplication on the right side of the equation.

-4 = 27 + b

Finally, we can find the value for b by subtracting 27 from both sides of the equation to get:

-31 = b

Now, we should substitute this value for b back into our equation with the slope.

y = 3x - 31

Therefore, your answer is y = 3x - 31.

Hope this helps!

6 0

2 years ago

Read 2 more answers