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kogti [31]
3 years ago
13

The students in Jason's grade voted to select a guest speaker. 90% of the students voted for a famous athlete. If 36 students vo

ted for the famous athlete, what was the total number of students that voted?
Mathematics
1 answer:
ozzi3 years ago
7 0

Answer:

40 people voted in total.

Step-by-step explanation:

All right, this looks fun.

So, we know 36 students are 90% of the people that voted, and we want to find the total amount of people that voted.

The question we are really asking is "36 is 90% of what?"

To solve this, we set up an equation and solve for x.

36 = 0.90 * x

To get x alone divide by 0.90 on both sides.

36 divided by 0.90 = 40

Therefore 40 people voted in total.

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If A, B, and Care 2x2 matrices; and det(A) = -2, det(B) = -3, and det(C)=-4 then compute: det(4C^TA^-1 C^TB^3) = 0 Official Time
almond37 [142]

Answer with explanation:

|A| = -2

|B|= -3

|C| = -4

|4 C^TA^{-1}C^TB^{3}|=4 |C||A|^{-1}|C||B|^3, \text{as}|C^T|=|C|,|A^n|=A^n\\\\=4 \times (-4) \times (-2)^{-1} \times (-4) \times (-3)^3\\\\=4 \times (-4) \times \frac{-1}{2} \times (-4) \times (-27)\\\\=-1728 \times \frac{-1}{2} \\\\=864

3 0
3 years ago
He collected a total of 225 . If ​68% of the stamps he collected were​ foreign, how many other stamps did he​ collect?
MissTica

Answer:

72 stamps

Step-by-step explanation:

First, we're looking to find the number of stamps that AREN'T foreign, so we have to subtract 68% from 100%.

  • 100% - 68%
  • 32%

Now, we know that 32% of the stamps are NOT foreign. So, next, we:

  1. Multiply 32 by 225.
  2. Divide the product of 32 and 225 by 100
  • 32*225
  • 7200
  • 7200/100
  • 72

Therefore, the answer is 72 stamps.

4 0
2 years ago
A.4. B.-4. C.1/4. D-1/4
erastovalidia [21]

A or B think it's A tho not sure

8 0
3 years ago
Read 2 more answers
Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra
bearhunter [10]

Answer:

\frac{dh}{dt}=-\frac{1}{2\pi}cm/min

Step-by-step explanation:

From similar triangles, see diagram in attachment

\frac{r}{4}=\frac{h}{16}


We solve for r to obtain,


r=\frac{h}{4}


The formula for calculating the volume of a cone is

V=\frac{1}{3}\pi r^2h


We substitute the value of r=\frac{h}{4} to obtain,


V=\frac{1}{3}\pi (\frac{h}{4})^2h


This implies that,

V=\frac{1}{48}\pi h^3


We now differentiate both sides with respect to t to get,

\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}


We were given that water is drained out of the tank at a rate of 2cm^3/min


This implies that \frac{dV}{dt}=-2cm^3/min.


Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means h=8cm.


We substitute this values to obtain,


-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}


\Rightarrow -2=4\pi \frac{dh}{dt}


\Rightarrow -1=2\pi \frac{dh}{dt}


\frac{dh}{dt}=-\frac{1}{2\pi}






3 0
4 years ago
Read 2 more answers
A family decides to have children until it has three children of the same gender. Assuming P(B)=P(G)=.5,. what is the pmf of X =
Paha777 [63]

The reason why the sum of your probabilities equals 0.5 is because you're only considering half of the problem--i.e. the probabilities for only one gender. For example, the probability that there are only three children and all are boys is 1/8. But, remember, it could be the case that there are three children and all are girls. Thus, the probability that there are three children is 1/4--not 1/8. Thus, multiply your result for P(X=4) and P(X=5) by 2 and you should end up with the right answer...

6 0
4 years ago
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