2. Let f(x) = 3x² -x+5, find f(x+1)

The owner of a local health food store recently started a new ad campaign to attract more business and wants to test whether ave

lawyer [9226]

Answer:

The upper bound of the confidence interval is 3127 $/day.

Step-by-step explanation:

With the new sample, we can determine the one-sided 95% confidence interval.

For this interval (one sided, with 95% confidence), z=1.64.

The total number of observations (n) is 45 days.

The average is 2984 and the standard deviation is 585.

We can estimate the upper limit of the confidence interval as

$UL=X+z*s/\sqrt{n} \\UL = 2984 + 1.64*585/\sqrt{45}=2984+ 959.4/6.708=2984+143=3127$

8 0

1 month ago

The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi u

babunello [8385]

The illustration is omitted. Please see the attachment below.

Answer:

The area of the shaded sector is 144π square units.

Step-by-step breakdown:

Given:

The central angle for the sector is, $\theta=\frac{8\pi}{9}\ rad$

The circle's radius is, $R=18\ units$

The area of a sector with radius 'R' and angle $\theta$ can be determined with:

$A=\frac{1}{2}R^2\theta$

Substituting $\theta=\frac{8\pi}{9},R=18$ gives

$A=\frac{1}{2}\times (18)^2\times \frac{8\pi}{9}\\\\A=(\frac{324\times 4}{9})\pi\\\\A=(36\times 4)\pi\\\\A=144\pi\ units^2$

Thus, the area of the shaded sector calculates to 144π square units.

5 0

1 month ago

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Christie has $200 in her bank account. Every month, she deposits $20 into her account. The equation of the line that models the

Zina [9154]

Each month she puts in 20......therefore annually she deposits (20 * 12) = 240 y = 240x + 200

3 0

7 days ago

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A periscope is 5 feet above the surface of the ocean. Through it can be seen a ship that rises to 50 feet above the water. To th

PIT_PIT [9097]

The maximum distance visible on Earth is calculated using the formula $d=\sqrt{8,000h_1} + \sqrt{8,000h_2}$

$h_1$ = your initial height and $h_2$ = your secondary height

In this case, $h_1=5$ represents the height of the periscope and $h_2=50$ denotes the height of the ship, leading us to a distance of 832.45553203368 feet. However, rounding to the nearest mile yields the answer as $11^a^0$

If there are any discrepancies, please inform me and I will recalculate!

5 0

17 days ago

Select the sequence of transformations that will carry rectangle A onto rectangle A'. A) reflect over y-axis, rotate 90° clockwi

PIT_PIT [9097]

Answer:

Each of the 4 arrangements will produce a rectangle.

Explanation:

Transforming a rectangle through rotation or translation will not alter its rectangular shape. This principle also applies when reflecting it across any axis. Thus, every sequence among the four provided will result in a rectangle.

6 0

26 days ago

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2. Let f(x) = 3x² -x+5, find f(x+1)​

2. Let f(x) = 3x² -x+5, find f(x+1)