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Artemon [7]
3 years ago
10

Study island Jack Russell high school 96 students plan on going to end in State College and 58 students plan on going to an out

of state college what is the ratio of students planning on going to State College to students planning on going to an out-of-state college
Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer:

48:29

Step-by-step explanation:

So lets find the ratio without simplest form: the ratio is 96:58

When writing the ratio we write the one mention first

Now lets write it in simplest form practically reducing it to its lowest term

\frac{96}{58}( we first write it as a fraction)

\frac{96}{58}÷\frac{2}{2}=48:29

So the answer is 48:29

HOPE IT HELPED

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On a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 fin
lilavasa [31]

Answer:

89.84375

Step-by-step explanation:

Given that on a finance exam, 15 accounting majors had an average grade of 90. On the same exam, 7 marketing majors averaged 85, and 10 finance majors averaged 93.

To find weighted mean.

Here weights can be considered as number of majors in each subject

Marks x     90        85       93\\Weights     15          7         10\\Product     1350    595     930\\

Weighted total = 1350+595+930 = 2875

Weighted mean = weighted total/total students

=\frac{2875}{32} =89.84375

6 0
3 years ago
What size is the television screen shown in the illustration? Find if 20 in. and 15 in. ?
serg [7]
12 2 +16 2 = D2

D2= 144+256
D2= 400


D2= 400
7 0
3 years ago
Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose
Furkat [3]

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


In which

x is the number of sucesses


e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Binomial 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.

Poisson mean:

\mu = 0.2

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164


0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

P(X \geq 2) = 1 - P(X < 2)

In which

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

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}&#10;

P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819

P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164&#10;

P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so p = 0.181

We want to find P(X = 0).

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

P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671

0.671 = 67.1% probability that neither contains a missing pulse

8 0
3 years ago
A student gets 9 out of 15 problems correct on a homework assignment.
Alex777 [14]

Answer:40%.

Since the student got 60% correct, the remaining percentage would be the part they got incorrect.

I got 60% by translating 9/15 into a decimal and moving the decimal point to create a percentage.

Hope this helps!

Step-by-step explanation:

7 0
3 years ago
La suma de 3 más el doble de un número es igual a ese número pero con signo negativo.llamemos x al número desconocido.
nydimaria [60]

Answer:

x = -1

Step-by-step explanation:

3 + 2x = -x

   - 2x     - 2x

3 = -3x

divides 3 por ambos lados del signo igual

x = -1

4 0
3 years ago
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