Answer:
y= 23
Step-by-step explanation:
Solve for (y
)
by simplifying both sides of the equation, then isolating the variable.
7y - 6y - 10 = 13
Answer:
The probability is 0.9211
Step-by-step explanation:
Let's call K the event that the student know the answer, G the event that the student guess the answer and C the event that the answer is correct.
So, the probability P(K/C) that a student knows the answer to a question, given that she answered it correctly is:
P(K/C)=P(K∩C)/P(C)
Where P(C) = P(K∩C) + P(G∩C)
Then, the probability P(K∩C) that the student know the answer and it is correct is:
P(K∩C) = 0.7
On the other hand, the probability P(G∩C) that the student guess the answer and it is correct is:
P(G∩C) = 0.3*0.2 = 0.06
Because, 0.3 is the probability that the student guess the answer and 0.2 is the probability that the answer is correct given that the student guess the answer.
Therefore, The probability P(C) that the answer is correct is:
P(C) = 0.7 + 0.06 = 0.76
Finally, P(K/C) is:
P(K/C) = 0.7/0.76 = 0.9211
Answer: (1.55, 6.45)
Step-by-step explanation:
The confidence interval for population mean is given by :-

Given : Significance level : 
Critical value : 
Sample size : n=41
Sample mean : 
Standard deviation : 
Then, 99% confidence interval for population mean will be :_

<em>Congruent triangles</em> are two or more triangles with the same length of <u>sides</u> and measure of internal <u>angles</u>. Thus the <em>required</em> proof is as shown below:
From the given diagram, it can be <u>observed</u> that:
AB = AC (<em>similar</em> property of two lines)
AC = AE (<u>similar </u>property of two lines)
Also,
m<A is a <u>common</u> angle to ΔABC and ΔADE
So that it can be <em>concluded </em>that;
ΔABC ≅ ΔADE (Side-Angle-Side property)
Thus since ΔABC ≅ ΔADE are <u>congruent</u>, then;
BC = DE (<u>corresponding</u> sides of <em>congruent</em> triangles)
For further clarifications on congruent triangles, visit: brainly.com/question/1619927
#SPJ1