Answer:
d. No, the conditions for normality have not been met because the sample size for the pennies is not large enough and no information is given about the distributions of the populations.
Step-by-step explanation:
In this example, we learn that the sample taken of pennies was of 25, while the sample of quarters was of 35. According to the central limit theorem, a sample must be equal to or larger than 30 for the theorem to hold. The theorem states that when random variables are added, they tend towards a normal distribution even if the original variables themselves are not normally distributed. In this question, the sample of pennies is not large enough for the theorem to hold. On top of this, we have no information about the distribution of the populations. Therefore, the conditions for normality have not been met.
<u>Assuming that k is variable:</u>
6k - 6²
<u>Assuming that 3k represents 3000:</u>
426×7
Answer:
- The measure of ∠A is 66°.
Step-by-step explanation:
<u>We know that:</u>
- ∠A = 3x + 18
- ∠D = 4x + 2
- ∠D = ∠A
<u>Now, let's solve the equation. ∠D = ∠A.</u>
- => 3x + 18 = 4x + 2
- => -2 + 18 = x
- => 16 = x
<u>Now, let's substitute the value of x into any equation.</u>
- => 4x + 2
- => 4(16) + 2
- => <u>66°</u>
Hence, the measure of ∠A is 66°.
Answer:
They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.
Step-by-step explanation:
From the statements,
∠G≅∠K
∠F≅∠J
∠H≅∠L
The sides of triangle FGH are proportional to those of triangle JKL
FG/JK =GH/KL=FH/JL =1/2
Answer:
$9400
Step-by-step explanation:
1.5x4=6%
100-6=94
0.94x10000=9400
