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koban [17]
3 years ago
9

A tram travels at 10 km/hr for 2 hours and then at 13 km/hr for 1 hour. Find its average speed

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0
33km total / 3 hours total = 11 km/hr average
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Can someone please help me answer this question.?
SashulF [63]

Answer:

d=8.0 meters

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

We are given the volume and the height

117.23 and the height 7

117.23 = 1/3 *3.14 *r^2 * 7

117.23 = 7.3266666666 *r^2

Divide each side by 7.3266666666

117.23/7.3266666666 = 7.3266666666 *r^2/7.3266666666

16.00045496 = r^2

Take the square root of each side

sqrt(16.00045496) =sqrt( r^2)

4.000 = r

We found the radius but it wants the diameter

d = 2*r

d =2*4.0

d=8.0 meters

3 0
3 years ago
A researcher reports a 98% confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be [0.34,
Fantom [35]

Answer:

0.34 \leq p \leq 0.38

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

Step-by-step explanation:

For this case we have a confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be given by:

0.34 \leq p \leq 0.38

For this case we can conclude that with 98% of confidence the true proportion of Drosophila in a population would be between 0.34 and 0.38.

But that doesn't means that we have 98% of PROBABILITY that the true proportion would be between 0.34 and 0.38, because we are constructing a confidence interval with sample data and we can't analyze this using probability.

Then the best answer is:

2. False

3 0
3 years ago
Solve each system using substitution:<br> 1. 4x - 5y= -15<br> y= -3x + 22
Bumek [7]
4x - 5y = -15
y = -3x + 22

Plug in your y= equation into the y variable in the other equation

  4x - 5 (y) = -15
            ^^
y = (-3x + 22) = -15

4x - 5 (-3x + 22) = -15

Distribute

4x + 15x - 110 = -15

Combine like terms and add 110 over to -15

19x = 95

Then, divide the whole equation by 19

x = 5

Then, plug in your x into your y= equation

y = -3 (5) + 22
y = -15 + 22
y = 7

<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
3 0
3 years ago
Out of 30 questions, Ahmad answer 12 of them incorrectly. What percent of the questions did he answer correctly?
kati45 [8]
First, you would need to determine how many questions he got correct. 
30 - 12 = 18

Next, you would need to create an equation for this problem. Let x represent the unknown percentage. 
\frac{18}{30} = \frac{x}{100}

Now, you would cross multiply. 
30x = 1,800

The last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 30. 
x = 60

Ahmad got 60% of the questions correct. 

I hope this helps!
7 0
3 years ago
The diameter of a circle is 14 in. Find its area in terms of
Luda [366]

Answer:

Given - Diameter of circle = 14 in

To find - Area of circle

Solution -

Diameter= 2 × Radius

14 = 2 × R

14/2 = R

7 = R

Area of circle= π r^²

22/7 × 7 × 7

22 × 7

154

7 0
2 years ago
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