Answer:
The correct option is C:
C) The representative sample contained more girls than boys.
Step-by-step explanation:
It is given that a random sample is chosen from a total students of 160 students. The sample can be of 10,15 or any small numbers of students as compared to 160. However, a sample cannot be of 160 students as it is defined as a population in this case.
A random sample is always unbiased. Which means that the sample chosen should have around the same proportion of girls to boys as it is in the population of 160.
We know that:
Total boys in 160 = 65
Total girls in 160 = 95
Proportion of girls to boys = 95/65 = 1.462
Which means that for every 1 boy, there are 1.462 of girls.
The same ratio is held in a random sample, hence the total number of girls will be greater than boys
Answer:
52
Step-by-step explanation:
1) Simplify the inner most parentheses:
35 + [16 - 7 + 8}
2) Perform the operations inside the brackets:
35 + [17]
3) Add
52
The reflection transformation in the question is a rigid transformation,
therefore, the image and the preimage are congruent.
The statements that are true are;
Reasons:
The given parameter are;
Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST
Required:
To select the true statements
Solution:
A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.
Therefore;
AB = RS
BC = ST
AC = RT
Given that the image formed by a reflection is congruent to the preimage, we have;
ΔABC ≅ ΔRST
∠ABC ≅ ∠RST
m∠ABC = m∠RST by the definition of congruency
∠BCA ≅ ∠STR
m∠BCA = m∠STR by the definition of congruency
∠BAC ≅ ∠SRT
m∠BAC = m∠SRT by the definition of congruency
Therefore, the true statements are;
- <u>AB = RS</u>; Image formed by rigid transformation
- <u>∠ABC ~ ∠RST</u>; Definition of similarity
- <u>ΔABC = ΔRST</u>; By definition of congruency
- <u>m∠BAC = m∠SRT</u>; by the definition of congruency
Learn more here:
brainly.com/question/11787764
Answer:
The answer I believe is 20
Step-by-step explanation:
Just add -34 + 54
Answer:
AC = 2.44
Step-by-step explanation:
Reference angle = 26°
Opposite side = AC = ?
Adjacent side = BC = 5
Applying TOA, we have:
Tan 26 = opp/adj
Tan 26 = AC/5
multiply both sides by 5
Tan 26 × 5 = AC
AC = 2.44 (nearest hundredth)
