First you need to find what 2/3 equals
to do this, take 99 divided by 3
99/3=33
if 1/3 equals 33, two thirds would be 33x2
33x2=66
now, you need to find 1/2 of 66. this can be done 2 different ways
1. 66 divided by 2 - 66/2=33
OR
2. 66 x 1/2 = 33 OR 66 x .5 = 33
The answer is 33 kilograms
The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .
We start with the relation between ratio of surface area and ratio of corresponding sides. That is
Here x and y are the corresponding sides .
Let the volume of the smaller one be v
So for the smaller solid, volume is 272 . And the correct option is the first option .
Answer:
Events E and F are not independent if the probability of event E occurring is affecting the probability of event F occurring.
Step-by-step explanation:
Two events are independent when the probability of one event occurring has no connection with that of the other event.
Example, when you toss a coin and roll a six sided die, the probability of getting a head or a tail has no connection with the probability of getting any number face.A real life example will be the probability going to the mall and owning a cat at home.These two have no influence on one another.
Mathematically independent events can be calculated as;
P(E∩F)=P(E)-P(F)
Answer:
$72.5
Step-by-step explanation:
- Initial value = $200
- Depreciated value after 4 years = $115
<u>Since depreciation rate is linear, then:</u>
- 200 - 4x = 115
- 4x = 200 - 115
- 4x = 85
- x = 85/4
- x = 21.25
<u>Value after 6 years:</u>
- 200 - 6*21.25 = 200 - 127.5 = $72.5
Answer:
B
Step-by-step explanation:
We want to find the equation of a line with a slope of 3 that includes the point (0, 5).
We can use the slope-intercept form, given by:
Where m is the slope and b is the y-intercept.
Notice that the given point (0, 5) is already the y-intercept. So, b = 5.
By substitution, we acquire:
Hence, our answer is B.
