1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liq [111]
3 years ago
9

Half of the students in Max's class volunteer at the local community center.Fifteen students do not volunteer.If there are 12 bo

ys in Max's class, how many girls are in the class?
Mathematics
1 answer:
yulyashka [42]3 years ago
7 0
18 girls
Half of the students volunteer
15 don't -- so the other half must be 15 as well making there 30 students in the class.
If 12 are boys, then 30(students in class) - 12 (boys) = 18 girls
You might be interested in
A plain travels 3400 miles in 8 hours. How far will it travel in 6 hours at this rate
pashok25 [27]

Answer:

2550 miles in 6 hours

Step-by-step explanation:

if you divide the miles and hours by each other you will get the m/ph (miles per hour)

3400 ÷ 8 = 425

now, that we know the plane travels 435 m/ph, then if we multiply it by 6 we will get the answer

425 × 6 = 2550

4 0
3 years ago
Question 16 (Essay Worth 7 points)<br><br> Verify the identity.<br><br> tan (x + π/2) = -cot x
Rus_ich [418]

Step-by-step explanation:

We know that tan=sin/cos, so tan(x+π/2)=

\frac{sin(x+pi/2)}{cos(x+pi/2)}

Then, we know that sin(u+v)=sin(u)cos(v)+cos(u)sin(v),

so our equation is then

\frac{sin(x)cos(\pi/2)+cos(x)sin(\pi/2)}{cos(x+\pi/2)}  = \frac{cos(x)}{cos(x+\pi/2) }

Then, cos(u+v)=cos(u)cos(v)-sin(u)sin(v), so our expression is then

\frac{cos(x)}{cos(x)cos(\pi/2)-sin(x)sin(\pi/2)} = \frac{cos(x)}{-sin(x)} = -cot(x)

6 0
2 years ago
The difference between a number and three is multiplied by negative six. The result is eighteen. What is the number? Write an eq
trapecia [35]

Answer:

that is the solution to the question

8 0
2 years ago
Answer the question in the pic below (math)
Marta_Voda [28]

Answer:

46.95 in.²

Step-by-step explanation:

Surface area of the kaleidoscope = surface area of a triangular prism = 2(BA) + P*H

Base area (B) = 2(½*bh) = 2(½*1.5*1.3) = 1.95 in.²

Perimeter of base (P) = 1.5 + 1.5 + 1.5 = 4.5 in.

Height of prism (H) = 10 in.

Plug in the values

Surface area = 1.95 + 4.5*10 = 46.95 in.²

7 0
2 years ago
A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y de
gregori [183]

a= μ-3.16*σ , b= μ+3.16*σ if each fish caught is equally likely to be any one of these 4 distinct types.

<h3>What is meant by Chebyshev inequality?</h3>

Chebyshev's inequality is a probability theory that ensures that, over a vast range of probability distributions, no more than a particular proportion of values would be present within a selected limits or range as from mean. In other words, only a certain fish caught will be discovered within a given range of the distribution's mean.

The formula for which no more than a particular number of values can exceed is 1/K2; in other words, 1/K2 of a distribution's values can be more than or equal to K standard deviations away from the distribution's mean. Furthermore, it asserts that 1-(1/K2) of a distribution's values must be within, but not include, K standard deviations of the distribution's mean.

How to solve?

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

where

Y =  the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 →  1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

P{Y≥b} ≥ 0.90  →  1- σ²/(σ²+λ²)=  1- 1/(1+(λ/σ)²)=0.90 → 3= λ/σ → λ= 3*σ

then for

P(Y≥ μ+3*σ ) ≥ 0.90

In order to learn more about Chebyshev inequality, visit:

brainly.com/question/24971067

#SPJ4

4 0
1 year ago
Other questions:
  • The graphs of f(x) = 10^x and its translation, g(x), are
    9·1 answer
  • I need help with this. screenshot attached
    7·1 answer
  • Someone Please Help with these questions, also it has to be solved for x Really need help I'm slow when it comes to math.
    9·1 answer
  • -6g + 3g + 12 &gt; -18
    11·1 answer
  • Im stuck help me pls thank you
    5·1 answer
  • Can you guys help me please?
    12·1 answer
  • Using the formula A = l w, determine the area of a rectangle when l = 3.7 and w = 4. Group of answer choices A.) 4.1 B.) 7.7 C.)
    12·1 answer
  • - 7th Grade Work -<br><br> Please write your answer like this:<br><br> 1.<br> 2.<br> 3.
    7·2 answers
  • I need to simplify x2+2x+1​
    12·2 answers
  • (03.01 MC) The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!