Answer:
the percentage is 12%
Step-by-step explanation:
Given that
The 12 students picked up the vanilla cupcake
And, 88 students picked up the chocolate cupcake
We need to find out the percentage of the students picked up a vanilla cupcake
So, the percenatge is
= (12) ÷ (12 + 88) × 100
= 12 ÷ 100 × 100
= 12%
Hence, the percentage is 12%
Answer:
Volume of the smaller cone = 8.34 cm³
Step-by-step explanation:
"If two figures are similar, their dimensions will be proportional.
Following this rule,
Ratio of the dimensions of two cones = ![\frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BRadius%20of%20the%20large%20cone%7D%7D%7B%5Ctext%7BRadius%20of%20the%20small%20cone%7D%7D)
= ![\frac{r_2}{r_1}](https://tex.z-dn.net/?f=%5Cfrac%7Br_2%7D%7Br_1%7D)
=
= 2.5
Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".
Ratio of the volumes = (ratio of the dimensions)³
![\frac{V_1}{V_2}=(2.5)^3](https://tex.z-dn.net/?f=%5Cfrac%7BV_1%7D%7BV_2%7D%3D%282.5%29%5E3)
![\frac{131}{V_2}=15.625](https://tex.z-dn.net/?f=%5Cfrac%7B131%7D%7BV_2%7D%3D15.625)
![V_2=\frac{131}{15.625}](https://tex.z-dn.net/?f=V_2%3D%5Cfrac%7B131%7D%7B15.625%7D)
= 8.384 cm³
≈ 8.4 cm³
Therefore, volume of the smaller cone is 8.4 cm³.
5q ≥ 8q - 3/2
<em><u>Add 3/2 to both sides.</u></em>
3/2 + 5q ≥ 8q
<em><u>Subtract 5q from both sides.</u></em>
3/2 ≥ 3q
<em><u>Multiply both sides by 2.</u></em>
3 ≥ 6q
<em><u>Divide both sides by 6.</u></em>
0.5 ≥ q.
The value of q is less than or equal to 0.5.
Answer:
B. 12.5
Step-by-step explanation:
We have the lowe confidence interval = 185
The upper confidence interval = 210
Mean of X = (lower confidence + upper confidence interval)/2
Mean of X = 185 + 210/2
= 197.5
The margin of error = the upper confidence interval - mean of X
= 210-197.5
= 12.5
Example Problems<span>Find the value of "x": 5x = 25. Step 1 : The product is 25 and the given divisor is 5 . Given 5x = 25 . Divide by 5 on both the sides. 5 x 5 = 25 5 . ...<span>Find the value of "x" : 7x = 56; Step 1 : The product is 56 and the given divisor is 7. Given 7x = 56 . Divide by 7 on both the sides. 7 x 7 = 56 7 .</span></span>