Answer:
Total Probability = 1 / 221
Step-by-step explanation:
Total number of cards = 52
Total number of kings = 4
Probability (first card is a king) = 4 / 52
Probability (Second card is a king) without replacement = [4-1] / [52-1]
Probability (Second card is a king) without replacement = 3 / 51
Total Probability = [Probability (first card is a king)][Probability (Second card is a king) without replacement]
Total Probability = [4/52][3/51]
Total Probability = 12 / 2652
Total Probability = 1 / 221
Answer:
Volume is increased in a factor of 8. The volume is increased from
to
.
Step-by-step explanation:
The formula for the volume of the rectangular prism is:
![V = w\cdot h \cdot l](https://tex.z-dn.net/?f=V%20%3D%20w%5Ccdot%20h%20%5Ccdot%20l)
Where:
- Width
- Height
- Length
If dimensions are doubled, then volume is increased in a factor of 8:
![V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)](https://tex.z-dn.net/?f=V_%7Bf%7D%20%3D%20%282%5Ccdot%20w%29%5Ccdot%20%282%5Ccdot%20h%29%5Ccdot%20%282%5Ccdot%20l%29)
![V_{f} = 8\cdot w \cdot h \cdot l](https://tex.z-dn.net/?f=V_%7Bf%7D%20%3D%208%5Ccdot%20w%20%5Ccdot%20h%20%5Ccdot%20l)
![V_{f} = 8 \cdot V_{o}](https://tex.z-dn.net/?f=V_%7Bf%7D%20%3D%208%20%5Ccdot%20V_%7Bo%7D)
The volume is increased from
to
.
Answer:
The corresponding angles are congruent and the corresponding sides are proportional
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
therefore
The corresponding angles are congruent and the corresponding sides are proportional
Answer:
The number of seedlings the three boys planted together is 560 seedlings
Step-by-step explanation:
The possible information in the question are;
Percentage of the seedlings planted by Ali = 40%
Percentage of the seedling planted by Ben = 45%
The percentage of the seedling planted by Cliff = The rest of the seedling
The number of seedling planted by Cliff = 84 siblings
Therefore, the percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%
Given that Cliff planted 15% of the seedlings, we have;
15% of seedlings Cliff planted = 84
Let X = the total number of seedlings
15/100 × X = 0.15×X = 84
X = 84/0.15 = 560
The total number of seedlings = The number of seedlings the three boys planted together = 560 seedlings.
1/8 * 32 = 4mph that is the correct answer