All categories

3 years ago

Pedro's Diner is open six days a week. His income for the first five days this week was

Mathematics

1 answer:

S_A_V [24]3 years ago

6 0

Answer:

$330

Step-by-step explanation:

What is mean/average?

It is the "sum of all the numbers" divided by the "number of numbers".

An average of 200 for 6 numbers means:

$Average=\frac{SUM}{NumberOfNumbers}\\200=\frac{SUM}{6}\\SUM=200*6\\SUM=1200$

THus, if we were to add the 6 numbers, we would get "1200". Let the 6th number be x, so we can write:

120 + 110 + 200 + 300 + 140 + x = 1200

870 + x = 1200

x = 1200 - 870

x = 330

To make the average $200, Pedro needs to make $330 on 6th day.

You might be interested in

What is blank divided by 750 equals 4

pychu [463]

X/750=4
multiply both sides by 750
x=3000

the number is 3000

6 0

3 years ago

Zack bought a cost for 69.78. he paid with $100 bill and received 26.73 in change. how much was the sales tax.

pshichka [43]

The tax was 3.49 dollars thats what i got hope it helps you man :)

3 0

3 years ago

Read 2 more answers

One common factor of two numbers is 40. Another common factor is 10. If both numbers are less than 100, what are the two numbers

Viefleur [7K]

Only two numbers less than 100 have a factor of 40: 40 (1 x 40) and 80 (2 x 40). Since 40 is a factor of both 40 and 80, 10 must also be a factor - indeed, 40 = 4 x 10 and 80 = 8 x 10.

The two number must be 40 and 80.

5 0

4 years ago

two trains leaves stations 320miles apart at the same time and travel toward eachother. One train travels at 110 miles per hour

I am Lyosha [343]

x/110 = (320-x)/90

<span> Cross multiply</span>

90x = 35200-110x

200x=35200

X = 35200/200 = 176 (distance traveled by train going 110 mph

176/110 = 1.6 hours = 1 hour and 36 minutes

Check: 110*1.6 = 176, 90*1.6 = 144

176+144 = 320

it will take 1.6 hours ( 1 hour 36 minutes) for the trains to meet

4 0

3 years ago

The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

5 0

3 years ago