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3 years ago

for large parties, a restaurant adds a 15% service charge to the bill. How much would be added to a bill of 638.40

Mathematics

1 answer:

sp2606 [1]3 years ago

6 0

It would be 734.16 because 638.40+15% = 734.16

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5. Arrival problems usually follow a Poisson distribution, but in this case the time between arrivals of customers at a bank dur

Finger [1]

Answer:

0.5 or 50%

Step-by-step explanation:

For any given value of 'x' representing the time between arrivals of two customers. If 0 < x <120, then the cumulative distribution function is:

$\frac{x-0}{120-0}=\frac{x}{120}$

Therefore, the probability that the time between the arrivals of two customers will be more than 60 seconds is determined by:

$P(X>60) = 1 -\frac{60}{120}\\P(X>60) = 0.5$

The probability is 0.5 or 50%.

5 0

3 years ago

-1/2x+2=-x+7 i need to know

ludmilkaskok [199]

$= \frac{ - 1}{ \: \: 2} x + 2 = x + 7$

$= \frac{ - 1}{ \: \: \: 2} x + 2 - x = 7$

$= \frac{ - 3}{ \: \: \: 2}x + 2 = 7$

$= \frac{ - 3}{ \: \ \: 2}x = 7 - 2$

$= \frac{ - 3}{ \: \: \: 2} x = 5$

$x = 5 \: \div \frac{ - 3}{ \: \: \: 2}$

$x = 5 \times \frac{ \: \: \: 2}{ - 3}$

$x = \frac{ - 10}{ \: \: \: 3}$

$∴ \frac{ - 1}{ \: \: \: 2} \times \frac{ - 10}{ \: \: \: 3} = \frac{ - 10}{ \: \: \: 3} + 7$

6 0

4 years ago

1. tan a = cot(a + 10°)

Temka [501]

Answer:

$a=40+90n$

Step-by-step explanation:

Use a cofunction identity on the right hand side or left hand side...

So $\tan(a)=\cot(90-a)$ .

We have the equation:

$\tan(a)=\cot(a+10)$

Make the above replacement:

$\cot(90-a)=\cot(a+10)$

Since cotangent has period 180 degrees, we can also write this as:

$\cot(90-a+180n)=\cot(a+10)$

So solving the following will give us a set of solutions for $a$ :

$90-a+180n=a+10$

Add $a$ on both sides:

$90+180n=2a+10$

Subtract 10 on both sides:

$80+180n=2a$

Divide both sides by 2:

$40+90n=a$

Symmetric property:

$a=40+90n$

7 0

3 years ago

The diameter of a circle is 3 1/2m, what is the radius?

iogann1982 [59]

Answer:

1,75 m

Step-by-step explanation:

The radius is by definition half of the diameter and so the half of 3.5 m is 1.75 m

6 0

3 years ago

Read 2 more answers

Two angles are complementary. The larger angle is 36 more than the smaller angle. What is the measure of the larger angle?

iren [92.7K]

Answer:

The largest angle is 63

Step-by-step explanation:

Shows that one is 36 degrees larger: 63 - 36 = 27

Shows that the angles are complementary/Their sum is 90: 27 + 63 = 90

6 0

3 years ago