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Fudgin [204]
3 years ago
15

78 % of the class scored a C or above on their test. If there are 35 students in the class, how many scored a C or higher? Write

and solve a proportion for this situation.
Mathematics
2 answers:
konstantin123 [22]3 years ago
5 0

Answer:

27 students

Step-by-step explanation:

\frac{78}{100} =\frac{x}{35} \\

cross multiply and you get 27

ratelena [41]3 years ago
3 0

All this question is trying to ask is to find 78% percent of the total number of student in the class.

So first convert 78 to decimal by dividing it by 100: \frac{78}{100} = 0.78

Next multiply that with the total number of students which is 35.

So, 0.78 * 35 = 27.3

Now I don't think there can be a decimal here. The question must be wrong or the percentage might be incorrect. But, just for sake, we'll round it up so the final answer would be: 27

The proportion would be: 273:10

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A COUPLE PLAN TO HAVE THREE CHILDREN.
Helen [10]
A) 8 possibilities
BBB
GBB, BGB, BBG
BGG, GBG, GGB
GGG

B) 0, 1, or 2 boys not 3
7/8

C) 2 or 3 girls
4/8=1/2

D) same sex
2/8=1/4
4 0
1 year ago
For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean
ki77a [65]

Answer:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu=?,\sigma=?)  

We are interested on this probability

P(X>X+3\mu)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

And we can find the following probablity:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0
3 years ago
In the equation 3s +135= 4.5 (s +10) what is s
Lubov Fominskaja [6]
3s + 135 = 4.5s + 45

Now move the variables and coefficients

135 = 1.5s + 45

And then the numbers

90 = 1.5s

Simplify

90/1.5 = 1.5s/1.5

60 = s

Hope this helps!
6 0
2 years ago
How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these simila
jeyben [28]

Answer:

See explanation below for further details.

Step-by-step explanation:

A rational consist of two real numbers such that:

\frac{a}{b} =c

If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.

If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example:

If a = x^{2} and b = x, then:

c = \frac{x^{2}}{x}

c = x

If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example

If a = 3\cdot x^{3} and b = x, then:

c = \frac{3\cdot x^{3}}{x}

c = 3\cdot x^{2}

But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.

Example

If a = 10^{2x} and b = 3\cdot 10^x, then:

c = \frac{10^{2\cdot x}}{3\cdot 10^{x}}

c = \frac{1}{3}\cdot 10^{2\cdot x -x}

c = \frac{1}{3}\cdot 10^x

Otherwise, c would be equal to a constant function, that is, a polynomial with a grade 0.

If a = 5\cdot e^{x} and b = -3\cdot e^{x}, then:

Example

c = \frac{5\cdot e^{x}}{-3\cdot e^{x}}

c = -\frac{5}{3}

It is worth to add that exponential functions can be a linear combination of single exponential function, similar to polynomials.

Example

5\cdot a^2\cdot x -9

7 0
3 years ago
Which is the graph of f(x) = x2 - 2x + 3?
VMariaS [17]
Vertex =(1,2). It’s is also the minimum of our parabola
Y-intercept (0,3)
Axis ps symmetry is x=1
6 0
2 years ago
Read 2 more answers
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