Answer:
9.72
Step-by-step explanation:
s1 = 10.6383 ; s2 = 5.21289
x1 = 147.583 ; x2 = 136.417
n1 = 12 ; n2 = 12
df1 = n1 - 1 = 12 - 1 = 11
df2 = n2 - 1 = 12 - 1 = 11
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926
Test statistic, T* :
(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))
11.166 / √(7.926 * (1/6)
11.166 / √1.321
11.166 / 1.1493476
T* = 9.7150766
Test statistic = 9.72
Answer:
0.6957 = 69.57% probability that you are randomly assigned a General Practitioner or a doctor under the age of 50.
Step-by-step explanation:
I am going to solve this question treating these events as Venn events.
I am going to say that:
Event A: General practitioner.
Event B: Under the age of 50.
Suppose that 9 out of the 23 doctors in a small hospital are General Practitioners
This means that
10 out of the 23 are under the age of 50
This means that
3 are both General Practitioners and under the age of 50.
This means that
What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 50?
This is:
Considering the values we have for this exercise.
0.6957 = 69.57% probability that you are randomly assigned a General Practitioner or a doctor under the age of 50.
For the answer to the question above asking to <span>write an equation for the revenue R in terms of the number of bracelets?
The answer to the question above is </span>R = 34x - (4x + 180)
I hope my answer helped you. Have a nice day!
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
To learn more on quadratic equations: brainly.com/question/2263981
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