1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa [96]
3 years ago
10

Can someone help me with these 2 last homework questions Thanks

Mathematics
1 answer:
Eva8 [605]3 years ago
6 0
31a) Think of $30.90 as 100% of her bill, we first want to find 6%
To work out how much this is, we need to divide the percentage by 100 to get a multiplier (decimal)
6/100 = 0.06
Multiply 0.06 and $30.90 to get the tax
$30.90 x 0.06 = 1.854
As we can't have part of a cent, we round to the nearest 100th
If the number to the right of this value is below 5 we round down, 5 or more we round up
4 is below 5 so we round down
$1.85

31b) For the total bill, we need to add together the original and the tax
$30.90 + $1.85 = $32.75

32a) Simple Interest = PRT
This means
P x R x T
We need to multiply together the Principal, Rate and Time span
We need to turn the percentage into a decimal, so we divide by 100 like before
3.2 / 100 = 0.032
$750 x 0.032 x 6 = $144

32b) To find the account balance, we need to add the interest to the original amount
$750 + $144 = $894
You might be interested in
TV advertising agencies face increasing challenges in reaching audience members because viewing TV programs via digital streamin
yarga [219]

Answer:

a)

The 99% confidence interval for the proportion of all adult Americans who watched streamed programming up to that point in time is (0.5336, 0.5864). This means that we are 99% sure that the true proportion of all adult Americans who watched streamed programming up to that point in time is between these two values.

b)

A sample size of 664 is required.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

A poll reported that 56% of 2348 American adults surveyed said they have watched digitally streamed TV programming on some type of device.

This means that \pi = 0.56, n = 2348

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 2.575, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.56 - 2.575\sqrt{\frac{0.56*0.44}{2348}} = 0.5336

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.56 + 2.575\sqrt{\frac{0.56*0.44}{2348}} = 0.5864

The 99% confidence interval for the proportion of all adult Americans who watched streamed programming up to that point in time is (0.5336, 0.5864). This means that we are 99% sure that the true proportion of all adult Americans who watched streamed programming up to that point in time is between these two values.

b. What sample size would be required for the width of a 99% CI to be at most .05 irrespective of the value P?

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

This sample size is given by n, with M = 0.05 and \pi = 0.5.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.05 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.05\sqrt{n} = 2.575*0.5

Dividing both sides by 0.05.

\sqrt{n} = 2.575*10

(\sqrt{n})^2 = (2.575*10)^2

n = 663.1

Rounding up:

A sample size of 664 is required.

7 0
3 years ago
Mr. Bradley purchased 20 trays of flowers. Each tray had 3 dozen flowers. Mr. Bradley's total for all the flowers was 273.60. Al
aev [14]

Answer: Each flower costs $0.38.

Step-by-step explanation:

1 dozen = 12 units

Flowers in each tray = 3 dozen = 3 x 12 = 36

Flowers in 20 trays = 20 x 36 = 720

Price of 20 trays = $ 273.60

Price of each flower = (Price of 20 trays  ) ÷ (Flowers in 20 trays)

= 273.60 ÷ 720

= $ 0.38

Hence, each flower costs $0.38.

7 0
3 years ago
Literally pls help me like literally pls i need help pls
jarptica [38.1K]

Answer:

2\16

Step-by-step explanation:

3 0
3 years ago
Which property is 32x0 = 0
sergij07 [2.7K]

Answer:

Step-by-step explanation:

Zero property because you are using zeros to multiply

3 0
3 years ago
The sum of a certain number and -3.4 is -8.1 find the number​
kirza4 [7]
Answer:

-4.7

Explanation:

-4.7 + -3.4 = -8.1

I’m giving you an Integer Rule Cheat Sheet that I use. Hopefully it can help you with Math problems like this!

6 0
3 years ago
Read 2 more answers
Other questions:
  • Identify whether each polynomial is quadratic, linear, or neither
    14·2 answers
  • McKenna pays $16 per month for a gym membership. In addition, she pays $2 per Pilates class.
    10·1 answer
  • A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volum
    13·2 answers
  • A group of girls decided to go on a trip and the organizer said that the bus would cost 360$ to rent. The organizer also told th
    7·1 answer
  • G(x) =x +5 then what is g(7)
    9·1 answer
  • Find the inverse of each function. h ( n ) = 4/n − 2
    6·1 answer
  • Solve for x
    11·1 answer
  • Find the product of 7.64​
    11·1 answer
  • This dot plot is not symmetric, and the data set has two
    7·2 answers
  • The radicand is the value inside of the radical.<br> O True<br> O False
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!