Answer:
j = -8
Step-by-step explanation:
-13j - 20 = -8j + 20
Add 13 j to each side
-13j+13j - 20 = -8j+13j + 20
-20 = 5j+20
subtract 20 from each side
-20-20 = 5j +20-20
-40 = 5j
Divide by 5
-40/5 = =5j/5
-8 =j
Answer:
60 students
Step-by-step explanation:
The confidence interval of a proportion is given by:

Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.
If the confidence interval is from 0.584 to 0.816, then:

60 students were in the sample.
Answer:
The null hypothesis is that there is no difference in the mean number of male and female cats
H₀; μ₂ - μ₁ = 0
Step-by-step explanation:
The given parameters are;
The given percentage of male stray cat population = 50%
The given percentage of female stray cat population = 50%
The number of areas the researcher visits, n = 15
The number of stray male cats he finds = 11
The kind of test to be performed = Sign test
The significance level, α = 0.05
A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.
Answer:
24/4/-a+12=/9d
Step-by-step explanation:
Answer:
Part 1) Triangles ABC, DBG, DEF and BEH are similar
Part 2)
Step-by-step explanation:
Part 1)
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
In this problem Triangles ABC, DBG, DEF and BEH are similar, because its corresponding angles are congruent by AA Similarity Theorem
Part 2)
Remember that
If two triangles are similar, then the ratio of its corresponding sides is equal
therefore