A student takes a multiple choice test with 40 questions. The probability that a student answers a given question correctly is 0
1 answer:
Answer:
Step-by-step explanation:
X no of questions student answers is binomial with n =40 and p =0.5
If approximated to normal, X is Normal with
mean = np = 20 and variance = npq = 10
P(X>N) >0.10
We use std normal distribution table to get z value first then convert to x value
So
This is with continuity correction.
Hence without continuity correction this equals 7.2-0.5 = 6.7
x>6.7
n = 7
You might be interested in
Answer:
A) 3%
B) Product A
Step-by-step explanation:
<u>Exponential Function</u>
General form of an exponential function:
where:
- a is the initial value (y-intercept)
- b is the base (growth/decay factor) in decimal form
- x is the independent variable
- y is the dependent variable
If b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
<u>Part A</u>
<u>Product A</u>
Assuming the function for Product A is <u>exponential</u>:
The base (b) is 1.03. As b > 1 then it is an <u>increasing function</u>.
To calculate the percentage increase/decrease, subtract 1 from the base:
⇒ 1.03 - 1 = 0.03 = 3%
Therefore, <u>product A is increasing by 3% each year.</u>
<u>Part B</u>
To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:
Check using different two consecutive values of f(t):
Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.
Although the question has not asked, we can use the given information to easily create an exponential function for Product B.
Given:
- a = 10,100
- b = 1.01
- n = t - 1 (as the initial value is for t = 1 not t = 0)
To check this, substitute the values of t for 1 through 4 into the found function:
As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>
Answer:
Step-by-step explanation:
(x₁, y₁) = (19 , -4) & (x₂ ,y₂) = (17, -20)
m = 8
Parallel lines have same slope.
Parallel slope = 8
Slope of perpendicular line =
Perpendicular slope =
Answer:
Step-by-step explanation:
Because is being multiplied by S, we can divide
from both sides of the equation. This will give us:
÷
But, that looks a bit hectic. Instead of dividing, you can multiply by the reciprocal (which is essentially how to divide fractions). So, instead of ÷
, you get:
×
When multiplying fractions, remember you can just multiply straight across-- numerator x numerator, then denominator x denominator.
By doing that, you get the fraction
cannot be simplified any more, so S=
is your answer :)
I hope this helps