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Mamont248 [21]
3 years ago
7

A survey about phone service has a margin of error of 5%. Out of 150 people surveyed, 103 said that they were pleased with their

service. The phone company has 72,000 customers. What is the range of the number of people that are satisfied?
A. 46,968 to 51,912 customers
B. 46,986 to 51,192 customers
C. 46,698 to 51,291 customers
D. 48,696 to 52,191 customers
Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

Step-by-step explanation:

Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.

so:

(72,000 x 103 )÷150 = 49,440

The next step is to calculate the 5% margin of error of that result.

49,440 x 0.05= 2,472

Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.

49,440-2,472= 46,968

49,440 + 2,472=51,912

So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.

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72% of 25 students are intrested in math. how many are not interested in math?​
saveliy_v [14]

Answer:

7 students are not interested in math

Step-by-step explanation:

We first need to find what is 72% of 25

<u>Therefore:</u>

72% of 25

=> 18

<u>Now, since we have the number of kids who are interested in math, we must do backwards equation:</u>

<u></u>

25 - 18

=> 7

4 0
3 years ago
Read 2 more answers
Please help!!!!<br> picture below
Vlada [557]

Answer:

7 ^ 6x + 2 = 7^15

taking log on both the sides

log 7^6x + 2 = log 7^15

6x + 2 log 7 = 15 log 7

log 7

7 0
1 year ago
Which expression is equivalent to -1.3 - (-1.9)−1.3−(−1.9)minus, 1, point, 3, minus, left parenthesis, minus, 1, point, 9, right
RideAnS [48]

Answer:

Choise B: -1.3+1.9

Step-by-step explanation:

For this exercise you must remember the multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

 

By definition, equivalent expression have the same value.

Then, you can find an equivalent expression to the expression provided in the exercise by simplifying it.

So, given:

-1.3 - (-1.9)

To simplify it, you can distribute the negative that is located outside of the parentheses (in order to eliminate the parentheses).

Applying this procedure, you get the following equivalent expression:

-1.3 - (-1.9)=-1.3+1.9

Therefore, as you can notice, the expression obtained matches with the one shown in Choice B.

8 0
3 years ago
For the polynomial shown below find f(1).<br><br><br>f(x)=3x^4-x^2+4x-2
Feliz [49]

Answer:

f(1)=4

Step-by-step explanation:

f(1)=3(1)^4-(1)^2+4(1)-2

f(1)=3(1)-1+4-2

f(1)=3-1+4-2

f(1)=4

6 0
3 years ago
The middle side of a triangle is half of 3 times the length of the shortest side. The longest side is 2 centimeters longer than
USPshnik [31]

<u>Answer:</u>  

The difference between the longest and shortest sides of the triangle is 4 cm.

<u>Explanation:</u>

<em>Step Number One:</em>

Let the shortest side of the triangle have a length of x.

The middle side of the triangle has a length that is half of 3 times the length of the shortest side. This can be written as 1/2*3x, which equals 3/2x.

The longest side of the triangle has a length that is 2 centimeters longer than the length of the middle side. This can be written as 3/2x + 2.

<em>Step Number Two: </em>

The perimeter of the triangle, which can be found by adding the lengths of all of the sides of the triangle, is 18 centimeters. This can be shown by the following equations:

Shortest Side + Middle Side + Longest Side = Perimeter

x + 3/2x + 3/2x + 2 = 18

4x + 2 = 18

4x = 16

x = 16/4

x = 4

<em>Step Number Three: </em>

This means that the shortest side of the triangle has a length of 4 centimeters and the longest side of the triangle has a length of 8 centimeters.

8 cm - 4 cm = 4 cm

--------------------------------------------------------------------------------------------------------------

Are you still confused? Not feeling confident in your ability to solve these types of problems? Some helpful topics to practice are listed below!

<u>Still confused on ...</u>

Step 1 - Practice equation solving!

Step 2 - Practice perimeter!

Step 3 - Practice addition and subtraction!

Remember: Certain problems may be tricky, but practice makes perfect!

--------------------------------------------------------------------------------------------------------------

<em>Answer by Math_Is_Me_123         </em>

7 0
3 years ago
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