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1 answer:
Mathematics majors
Computer science majors
We need to use product rule because the first event is picking the mathematics major and second event is picking the computer science major
We need to use sum rule because the first event is picking OR mathematics major and second event is picking the computer science major
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- One of the most essential disciplines is mathematics.
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- Every aspect of our lives, including medical, engineering, finance, the natural sciences, economics, etc., are greatly affected by it.
- The universe of mathematics is all around us.
- Mathematical ideas, theories, and formulae have a wide range of practical applications.
- We must master the formulae and principles in order to solve diverse difficulties. To comprehend its many uses and relevance, it is crucial to grasp this subject.
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Answer:
Angle 1 = Angle 2 = 5y -23 (Vertically opposite)
We can see that we have a triangle in the figure
Since the sum of all angles of a triangle is 180,
<em>(2x + 13) + (47) + (5y -23) = 180</em>
<em>2x + 5y + 37 = 180</em>
<em>2x + 5y = 143</em>
5y = 143 -2x -----------------(1)
Assuming l and m to be parallel
<em>angle 1 = 3x (corresponding angles)</em>
<em>5y - 23 = 3x </em>
<em>From equation (1)</em>
<em>143 -2x - 23 = 3x </em>
<em>120 = 5x </em>
x = 24 ---------------------- (2)
Using (2) in (1)
<em>5y = 143 - 2(24)</em>
<em>5y = 143 - 48</em>
<em>5y = 95</em>
y = 19
Therefore,
x = 24
y = 19
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Answer:
Option (d) and (e)
Step-by-step explanation:
We are given that a sample survey interviews SRS of 500 female college students and 550 male college students. And Researchers want to determine whether there is a difference in the proportion of male and female college students who worked for pay last summer.
In all, 410 of the females and 484 of the males say they worked for pay last summer.
From this, Null Hypothesis, :
{means proportion of male and female college students who worked for pay last summer are same}
Alternate Hypothesis, :
{means there is a difference in the proportion of male and female college students who worked for pay last summer}
Now, since we know that results were statistically significant at the 1% level.
So, if p-value is less than the significance level ⇒ we will reject
if p-value is more than the significance level ⇒ we will not reject
From the options given it is sure that P-value is less than 1%,i.e.;
<em>P-value is less than the significance level, so we will reject null hypothesis and conclude that there is convincing evidence that the proportion of all male college students in the study who worked for pay last summer is different from the proportion of all female college students in the study who worked for pay last summer. </em>
Also, option (d) and (e) are same in my opinion.