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telo118 [61]
1 year ago
10

The grade of a road is the slope of a road. In the U.S., grade is often expressed as a percent by finding the product 100(slope)

. Approximate the grade of a road that has a rise of 950 ft over 3 mi.
A. 3%
B. 5%
C. 6%
D. 9%
Mathematics
1 answer:
bagirrra123 [75]1 year ago
6 0
The grade of a road is the slope of a road. In the U.S., grade is often expressed as a percent by finding the product 100(slope). Approximate the grade of a road that has a rise of 950 ft over 3 mi is :
A. 3%

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A man has 28 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 520 cents, how many d
nordsb [41]
Assuming x = dimes, y = quarters

x + y = 28 \\ 0.1x + 0.25y = 5.20

x + y = 28 \\ x = 28 - y

Substitute that into,
0.1(28 - y) + 0.25y = 5.20 \\ 2.8 - 0.1y + 0.25y = 5.20 \\0.15y = 2.4 \\ y = 16

Answer : He has 16 quarters.

Hope this helps. - M
5 0
2 years ago
One of your employees has suggested that your company develop a new product. You decide to take a random sample of your customer
iren [92.7K]

Answer:

269

Step-by-step explanation:

The margin of Error is E = 0.05

The level of significance is, α = 1 - confidence level = 1 - 0.9 = 0.1

Assume that the proportion is, p =0.5

From the standard normal table, observe that the critical value of Z for two tail test and 10% level of significance is 1.64

The calculation of sample size is as follows: n = (Z/E)²p(1-p)

n = (1.64/0.05)²0.5 (1 - 0.5)

n = (1.64/0.05)² 0.25

n = 1075.84 × 0.25

n = 268.96 ≈ 269

The required sample size with the given margin of error approximately is 269. This value indicates the size of the customers who are using this company’s products.

6 0
2 years ago
Jamal is comparing his transportation options for an upcoming trip. He’s considering a rental car and a taxi service. Based on h
ZanzabumX [31]

Answer:

The range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26}  [where x is in dollar]

Step-by-step explanation:

Let, the car rental rate be  $ x per day .

Jamal's trip will last for 4 day.

He expects to pay $ 24 for gas  (if he rents the car)

He expects a  taxi service would cost about $ 128

So, for the rental car option to be cheaper than the taxi option, the following inequality must follow,

128 > 24 + 4x

⇒ 4x < 104

⇒ x < 26

So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26} [where x is in dollar]

3 0
2 years ago
Select the locations on the number line to plot the points −2 , −11 , and −17 .
Sindrei [870]

Answer: With this information the answer would be GO down twice into the negatives and make you plot point, next go down eleven times and make your plot point, and last go down seventeen times and make your plot point.

Step-by-step explanation: What you have to do is make the number line with a zero at in the middle on the left of the zero you go down into the the negative numbers and on the right you go up into the positive numbers

8 0
1 year ago
PLEASE HELP! Given the following equation of an exponential function N= 40.25(1.0394)^t determine the base, b, of the exponentia
NeTakaya
The exponential equation in its generic form is:
 y = A * (b) ^ t
 Where,
 A: initial amount
 b: base (Growth rate for b> 1. Decrease rate for b <1.)
 t: time.
 We have then that the equation is:
 N = 40.25 (1.0394) ^ t
 The base is:
 b = 1.0394> 1 (it is a growth rate)
 Answer:
 
The base, b, of the exponential model is:
 
b = 1.0394
 the base is a growth rate
5 0
1 year ago
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