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3 years ago

At Maxx Middle School, there are 30 times as many students as teachers. If there are 450 students, how many teachers are there?

Mathematics

2 answers:

vredina [299]3 years ago

8 0

30 times as many students than teachers
Equation = 450/30 = 15 teachers

Zolol [24]3 years ago

4 0

Answer:

15 teachers

Step-by-step explanation:

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At Ersatz University, the graduating class of 480 includes 96 guest students from Latvia. A sample of 10 students is selected at

grandymaker [24]

Answer:

A).3222

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are from Latvia, or they are not. We are choosing students without replacement. However, since the sample size is large, we can use the binomial distribution to approximate the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

480 students, of which 96 are from Latvia:

This means that $p = \frac{96}{480} = 0.2$

Sample of 10 students:

This means that $n = 10$

Probability that the sample contains at least three Latvian students.

Either there are less than three students from Latvia, or there are at least three. The sum of the probabilities of these events is 1. So

$P(X < 3) + P(X \geq 3) = 1$

We want $P(X \geq 3) = 1 - P(X < 3)$ , in which:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2648 + 0.3020 = 0.6742$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6742 = 0.3258$

The closest option is A.

4 0

3 years ago

Three times Jeff's age plus 3 is Maria's age.<br> Maria is 48. What is Jeff's age?

S_A_V [24]

Answer:

Ok so 48*3=144 and 144+3=147

Step-by-step explanation:

so 48*3=144+3=147 so that would be your answer I think I did that right

8 0

4 years ago

How do you write 11,760,825 in word form

andrezito [222]

Eleven million seven hundred sixty thousand and eight hundred twenty five

4 0

3 years ago

Read 2 more answers

ATCs are required to undergo periodic random drug testing.

aleksandr82 [10.1K]

Answer:

The responsess to the given question can be defined as follows:

Step-by-step explanation:

$P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\$

$P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07$

As per the given info we draw the tree diagram which is defined in the attachment file.

$P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )$

$= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762$

$P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}$

$= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882$

8 0

3 years ago

How do I write the sum of two numbers as the product of their GCF and another sum

Delicious77 [7]

Let's assume we were given 2 numbers: 15 and 30. Their sum is:
$15+30 = 45$
We want to express it as the product of GCF and another sum.
15 is divisible by: 1, 3, 5, 15
30 is divisible by: 1, 2, 3, 5, 6, 10, 15, 30
The greatest number that appears in 2 series is 15.
$\frac{15}{15} = 1$
$\frac{30}{15} = 2$
In this case sum of two numbers can always be written as:
$15+30 = (15\cdot 1) + (15\cdot 2) = 15\cdot (1+2) = 15\cdot 3 = 45$

8 0

3 years ago

Read 2 more answers