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3 years ago

What is taxes? What is Texas' tax rate?

1 answer:

7 0

Taxes are extra expenses that the government gives to support the economy and the rest goes to the shop owner and the employees. Texas’ tax rate is 6.25%.

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The Orchard Cafe has found that about 3% of the diners who make reservations don't show up. If 83 reservations have been made, h

daser333 [38]

Answer:

$\mu = 80.51\\\sigma = 1.56$

Step-by-step explanation:

We are given the following information in the question:

Percentage of of the diners who make reservations don't show up = 3%

Number of reservations = 83

Thus, we are given a binomial distribution with n = 83 and p = 0.97

$X\sim \text{ Binom}(p = 0.97, n = 83)$

$\mu = np = (83)(0.97) = 80.51$

Around 81 people can be expected to show up.

$\sigma = \sqrt{np(1-p)} = \sqrt{(83)(0.97)(1-0.97)} = 1.5541 \approx 1.56$

The standard deviation of this distribution is 1.56

6 0

3 years ago

A 51 foot piece of wire is cut into 3 sections so that the first section is three times as long as the second section and the se

kirill [66]

Answer:

The length of the longest section x = 36 ft

Step-by-step explanation:

Total length of the wire = 51 ft

Let first section of wire = x

Second section of wire = y

Third section of wire = z

According to given data

x = 3 y & y = 4 z

Total length of the wire = x + y + z = 51

$y + 3 y + \frac{y}{4} = 51$

$\frac{17}{4} y = 51$

y = 12

x = 3 × 12 = 36

$z = \frac{y}{4} = \frac{12}{4} = 3$

Therefore the length of the longest section x = 36 ft

8 0

3 years ago

Read 2 more answers

What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

schepotkina [342]

Lateral Area of a cylinder is ; 2πR.H

R=12 mm and H= 15 mm

Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²

5 0

3 years ago

78 round to the nearest tenth

LenaWriter [7]

78 rounded to the nearest tenth is 80

3 0

3 years ago

Which is the graph of the function f(x)= negative square root x

Vsevolod [243]

First, note that $\sqrt{x}$ is always positive (except for x=0), so $-\sqrt{x}$ must be always negative.

Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.

Now, $\sqrt{x}$ and $-\sqrt{x}$ are only defined for x≥0, because only for these x'es we can take the square root.

Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.

Answer: first graph

6 0

3 years ago