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3 years ago

The booster club needs to raise at least $6,000 for new football uniforms. So far, they have raised $1,200.

Mathematics

1 answer:

lana66690 [7]3 years ago

3 0

Answer:

• Let x be the number of members

• In inequalities, at least means greater or equal ( ≥ )

${ \underline{ \mathfrak{ \: answer : }}}$

${ \boxed{ \boxed{ \rm{x + 1200 \geqslant 6000}}}}$

• To get the average, substitute for x as 99 and amount collected by each member

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An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations

Hoochie [10]

Answer:

a) $E(Y)= \sum_{i=1}^n Y_i P(Y_i)$

And replacing we got:

$E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95$

b) $E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148$

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

Solution to the problem

Part a

We have the following distribution function:

Y 0 1 2 3

P(Y) 0.45 0.2 0.3 0.05

And we can calculate the expected value with the following formula:

$E(Y)= \sum_{i=1}^n Y_i P(Y_i)$

And replacing we got:

$E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95$

Part b

For this case the new expected value would be given by:

$E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)$

And replacing we got

$E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148$

5 0

3 years ago

The ratio of car riders to bus riders is 7 to 8. If 150 students attend the school

svetoff [14.1K]

Answer:

8+7=15 15x150=0.1

Step-by-step explanation:

7 0

3 years ago

What is H in the algebraic expression H+340÷30=25

disa [49]

Answer:

H = 13.67

Step-by-step explanation:

Given:

The the algebraic expression is

$H + \frac{340}{30} = 25$

We need to write the above equation for h.

Solution:

$H + \frac{340}{30} = 25$

First we divide the fraction part of the equation by common factor 10.

$H + \frac{34}{3} = 25$

Subtract both side of the equation by $\frac{34}{3}$ .

$H + \frac{34}{3}-\frac{34}{3} = 25- \frac{34}{3}$

$H = 25- \frac{34}{3}$

To write 25 as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$H = 25\times \frac{3}{3}- \frac{34}{3}$

$H = \frac{25\times3}{3}- \frac{34}{3}$

$H = \frac{75}{3}- \frac{34}{3}$

$H = \frac{75-34}{3}$

$H = \frac{41}{3}$

$H = 13.67$

Therefore the value of H is 13.67.

7 0

3 years ago

Sid’s Yummy Food store sold 13 bagels. 9 of them were poppy seed bagels. What is the experimental probability that the next bage

Alenkasestr [34]

Answer: will it be 4/13?

Step-by-step explanation:

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3 years ago

What is pulverization?<br>__<br><br>Easy steps to cry XD

ICE Princess25 [194]

Pulverization is defined as the separation of particles from each other rather than the breaking up of individual particles.

<h3>What is pulverization?</h3>

Pulverization is defined as the separation of particles from each other rather than the breaking up of individual particles.

It is applied in several fields, for instance, pulverization in waste management is simply the process of grinding collected solid waste into powder using the grinding machine thereby changing its volume and physical characteristic.

Learn more on pulverization here: brainly.com/question/21400963

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3 years ago

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