Answer:
Yes, we can assume that the percent of female athletes graduating from the University of Colorado is less than 67%.
Step-by-step explanation:
We need to find p-value first:
z statistic = (p⁻ - p0) / √[p0 x (1 - p0) / n]
p⁻ = X / n = 21 / 38 = 0.5526316
the alternate hypothesis states that p-value must be under the normal curve, i.e. the percent of female athletes graduating remains at 67%
H1: p < 0.67
z = (0.5526316 - 0.67) / √[0.67 x (1 - 0.67) / 38] = -0.1173684 / 0.076278575
z = -1.538681
using a p-value calculator for z = -1.538681, confidence level of 5%
p-value = .062024, not significant
Since p-value is not significant, we must reject the alternate hypothesis and retain the null hypothesis.
Answer:
x=11
Step-by-step explanation:
The value of dividing x^2-3x+9 by x-2 is x + 3
<h3>Ways of dividing polynomials</h3>
There are several ways to divide polynomial functions; some of these ways include
- By factorization
- By long division
- By synthetic division
- By using technology such as graph
<h3>How to divide the polynomials?</h3>
The expression for the polynomial division is given as:
x^2-3x+9/x-2
To divide polynomial functions, we make use of the division by factorization method
Start by expanding the numerator of the polynomial division
x^2-3x+9/x-2 = x^2 + 3x - 6x + 9/x-2
Factorize the equation
x^2-3x+9/x-2 = x(x + 3) - 2(x + 3)/x - 2
Factor out x + 3 from the numerator
x^2-3x+9/x-2 = (x- 2)(x + 3)/x - 2
Cancel out the common factors
x^2-3x+9/x-2 = x + 3
Hence, the value of dividing x^2-3x+9 by x-2 is x + 3
Read more about polynomial division at:
brainly.com/question/25289437
#SPJ1
Answer:
LCM(9, -1, -1, +2, +2, +2) = 2×3^2 = 18
Step-by-step explanation:
9 = 32
-1 = -1
-1 = -1
+2 = 2
+2 = 2
+2 = 2
LCM = 2×3^2 = 18
18 / 9 = 2
18 / -1 = -18
18 / -1 = -18
18 / +2 = 9
18 / +2 = 9
18 / +2 = 9
Answer: 20
Explanation: Alright, so basically you’re going to want to use PEMDAS (Parenthesis, Exponents, Multiplication/ Division, Addition/ Subtraction)
* just means multiply.. sooo the problem looks like this:
6x(12-7.5)-7
We’ll start at the parentheses :)
So (12-7.5) = 4.5
Now our problem looks like: 6x(4.5)-7
Following PEMDAS, the next thing to come up is multiplication! So we’re going to multiply 6 by 4.5 ...
6x4.5=27
After this our problem looks like: 27-7
So now it’s just simple math...
27-7= 20
