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Amiraneli [1.4K]
3 years ago
13

The table shows the rates for sending text messages. Are the rates proportional? Explain.

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

Remember in order for the rates to be proportional it has to have a constant rate of change and it has to go through the origin if graphed

For one this has a constant rate of change which is 3 dollars per 25 messages

Now we just have to find out if it would go through the origin (0,0)

To do so we subtract 3 dollars and then 25 messages

6-3=3

50 - 25 =25

then again 25-25=0

3-3=0

concluding that (0,0) is a solution

Thus meaning that this is a proportional relationship

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a test for a certain drug has a 0.1% probability of producing a false positive. if a company hired 500 drug-free employees, what
Natasha_Volkova [10]

The probability of obtaining at least 1 false positive if the number of employees is 500 is 0.5

Probability

In the statistics concept, the probability refers the possible number of way of happening the particular event.

Given,

A test for a certain drug has a 0.1% probability of producing a false positive.

Here we need to find  the probability of obtaining at least 1 false positive if  a company hired 500 drug-free employees.

In the given question, we have the following values,

=> number of employees = 500

=> Probability of false positive = 0.1%

So, the probability of obtaining at least 1 false positive is calculated as,

=> 500 x 0.1/100

=> 5 x 0.1

=> 0.5

Therefore, the probability of obtaining at least 1 false positive is 0.5.

To know more about Probability here.

brainly.com/question/11234923

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6 0
1 year ago
Find the height of a cone with volume 4034.66 cm^3 and radius 13 cm.
pav-90 [236]
Volume of cone=4034.66cm^3
Pi×r^2×h/3=4034.66
Pi×13×13×h=4034.66×3
22×13×13×h/7=4034.66×3
h=4034.66×3×7/13×13×22
h=45.57
So h=45.6cm
8 0
3 years ago
-4.2 (-2.8+4.5) what is the value of the expression
Artyom0805 [142]
-7.14 should be your answer!
4 0
4 years ago
Brian needs to paint a logo using two right triangles. The dimensions of the logo are shown below. What is the difference betwee
solong [7]

Answer:

7.5 cm²

Step-by-step explanation:

Dimensions of the large ∆:

base (b) = 3cm, height (h) = 9cm

Area = 0.5*b*h = 0.5*3*9 = 13.5 cm^2

Dimensions of the small ∆:

base (b) = 2cm, height (h) = 6cm

Area = 0.5*b*h = 0.5*2*6 = 6 cm^2

Difference between the area of the large and the small ∆ = 13.5 - 6 = 7.5 cm²

5 0
3 years ago
Give an example to show that subtraction does not follow the associative rule
Agata [3.3K]

(6 - 2) - 1 = 4 - 1 = 3

6 - (2 - 1) = 6 - 1 = 5

The associative rule doesn't work for subtraction because you get different results when you move the parentheses.

4 0
3 years ago
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