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2 years ago

Which of the following is a type of data that is likely to be normally distributed?

Mathematics

2 answers:

kkurt [141]2 years ago

8 0

It is either A or D, but I think it’s A

andreyandreev [35.5K]2 years ago

7 0

Answer: The answer is A

Step-by-step explanation:

Its the only one that has the least amount of options and the highest probability chance

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PLEASE HELP!!! Write the equation of a line that goes through the point (6, 3) and is perpendicular to the line y = 4x + 1.

Tpy6a [65]

For this case we have that by definition, the equation of a line in the point-slope form is given by:

$y-y_ {0} = m (x-x_ {0})$

Where:

m: It is the slope of the line and $(x_ {0}, y_ {0})$ is a point through which the line passes.

We have the following equation of the slope-intersection form:

$y = 4x + 1$

Where the slope is $m = 4$

By definition, if two lines are perpendicular then the product of their slopes is -1.

Thus, a perpendicular line will have a slope:

$m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4}\\m_ {2} = - \frac {1} {4}$

Thus, the equation will be of the form:

$y-y_ {0} = - \frac {1} {4} (x-x_ {0})$

Finally we substitute the given point and we have:

$y-3 = - \frac {1} {4} (x-6)$

Answer:

Option B

8 0

2 years ago

Luca has 15

pav-90 [236]

Answer:10 question 1/2

Step-by-step explanation:

6 0

3 years ago

our friend purchased a medium pizza for $10.31 with a 30% off coupon. What is the price of a medium pizza without a coupon?

makkiz [27]

Answer:

$7.22 or $7.217

Step-by-step explanation:

$7.22 would be the answer because 70% of 10.31 is what you are looking for which is 7.217 which is rounded to 7.22

3 0

3 years ago

A student flips a coin 58 times. How many times can she expect the coin to land on heads.

goldenfox [79]

Well there’s two sides of a coin
so divide 58 by 2 to get 29

5 0

2 years ago

Read 2 more answers

When 238 is divided by the natural number n, the quotient is 3 more than n, and there is no remainder. What is n?

brilliants [131]

Answer:

n = 14

Step-by-step explanation:

Write the equation in algebraic (numbers and symbols) form

$\frac{238}{n}$ = n + 3 Rearrange the equation

$n\frac{238}{n}$ = n(n + 3) Multiply both sides by 'n'

238 = n(n + 3) On the left, multiplying and dividing by 'n' cancels out

238 = n² + 3n Distributed right side

0 = n² + 3n - 238 Rearranged to standard form for quadratic equations

Remember standard form for quadratic equations is: ax² + bx + c = 0

State the variables a, b and c:

a = 1; b = 3; c = -238

When a quadratic equation is in standard form, you can <u>use the quadratic formula</u> to solve for 'n'. (Usually, you see the variable 'x', but the quadratic formula can solve for 'n' as if it is 'x', as long as it's in standard form.)

$n = \frac{-b±\sqrt{b^{2}-4ac}}{2a}$ (ignore the Â, it's a formatting error)

$n = \frac{-(3)±\sqrt{(3)^{2}-4(1)(-238)}}{2(1)}$ Substitute the values for 'a', 'b' and 'c' from the equation

$n = \frac{-3±\sqrt{9-(-952)}}{2}$ In the root, two negatives make a positive

$n = \frac{-3±\sqrt{9+952}}{2}$ Add inside the root

$n = \frac{-3±\sqrt{961}}{2}$ Find the square root of 961

$n = \frac{-3±{31}{2}$ Split the equation at the ±

Split for adding:

$n = \frac{-3+31}{2}$ Simplify

n = 14

Split for subtracting:

$n = \frac{-3-31}{2}$ Simplify

n = -17

You get the answers 14 and -17 for 'n'. Decide which one is 'inadmissible', meaning it can't be right even if it solves the equation.

The problem says 'n' is a natural number. <u>Natural numbers are all non-partial numbers count up from 1.</u> (Non-partial means as a fraction, they are reduced to a number over 1). Since -17 is less than 1, it is inadmissible because it is not a natural number.

Therefore, 'n' is 14.

8 0

2 years ago