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anyanavicka [17]
3 years ago
15

Assume that college students have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Fin

d the probability that a randomly selected college student has an IQ greater than 115.5. Group of answer choices
Mathematics
1 answer:
jolli1 [7]3 years ago
3 0

Answer:

0.018 is  the probability that a randomly selected college student has an IQ greater than 131.5                                

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.

Formula:

a) P(IQ greater than 131.5)

P(x > 131.5)

Calculation the value from standard normal z table, we have,  

0.018 is  the probability that a randomly selected adult has an IQ greater than 131.5

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3<br> x. 3x²+x-3=0<br> Find the zeros
Tanya [424]

Answer:

The zeroes of this polynomial are x_{1} \approx 0.847 and x_{2} \approx -1.180.

Step-by-step explanation:

Let 3\cdot x^{2}+x - 3 = 0, the quickest and most efficient approach to find the zeroes of this second order polynomial is by Quadratic Formula. For all a\cdot x^{2}+b\cdot x + c = 0, roots are determined by:

x_{1,2} = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a} (1)

Where a, b, c are coefficients of the polynomial.

If we know that a = 3, b = 1 and c = -3, then roots of the polynomial are, respectively:

x_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (3)\cdot (-3)}}{2\cdot (3)}

x_{1,2} =\frac{-1\pm \sqrt{37}}{6}

The zeroes of this polynomial are x_{1} \approx 0.847 and x_{2} \approx -1.180.

3 0
3 years ago
Does 10p/2q = 5p/q<br> I think it is not equal but it doesn't seem right.
Rufina [12.5K]

Answer: \frac{10p}{2q}=\frac{5p}{q}  (TRUE)

Step-by-step explanation:

For this exercise it is important to remember that, by definition, fractions have the following form:

\frac{a}{b}

Where "a" is the numerator and "b" is the denominator.

The numerator and the denominator are Integers, but the denominator cannot be zero (b\neq 0)

In this case you have the following equation provided in the exercise:

\frac{10p}{2q}=\frac{5p}{q}

To find out if the left side of the equation is equal to the right side, it is necessary to simplify the fraction on the left.

Notice that the numerator and the denominator of the fraction on the left  can be both divided by 2. Then, you can simplify it.

So, you get;

\frac{5p}{q}=\frac{5p}{q}\ (TRUE)

6 0
3 years ago
Solve the following. 1. A number added to 2 is - 3. Find the number. ​
Vlad [161]

Answer:

respeto máximo

Step-by-step explanation:

82 de IQ soy matemático

esto es todo lo que hay el pana viste de Gucci

ahora soy héroe nacional y antes me llamaba banpuzi

escribo algo hoy y al siguiente ya no mola

3 0
2 years ago
What is the solution to this system of linear equations?
GarryVolchara [31]

Answer:

I got (1,2).

Step-by-step explanation:

Process of elimination:

Multiply the second equation by 3 to get same terms, subtract and solve for Y to get 2.

Plug 2 into second equation for Y to get x=1

(1,2)

6 0
3 years ago
A line passes through (8,2) and (11,-13) write the equation of thr line in standerd form
docker41 [41]

Answer:

Step-by-step explanation:

(8,2),(11,-13)

slope(m) = (-13 - 2) / (11 - 8) = -15/3 = -5

y = mx + b

slope(m) = -5

(8,2)...x = 8 and y = 2

now we sub and find b, the y int

2 = -5(8) + b

2 = -40 + b

2 + 40 = b

42 = b

so ur equation is : y = -5x + 42...now we need it in standard form

Ax + By = C

y = -5x  42

5x + y = 42 <====

8 0
4 years ago
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