Question 1:
73 is a prime number. It can only be divided by 1 and by itself.
The GCF of the three numbers:
54 36 73
1×54 1×36 1×73
2×27 2×18
3×18 3×12
6×9 4×9
6×6
GCF of 54, 36 and 73 is 1
GCF of 54 and 36 is 18
If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.
So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets
Pi divided by 2 is <span>1.57079632679 so anything bigger than 0 and less than that number should be between.</span>
Answer: The explanation is correct.
Step-by-step explanation:
The interpretation of 95% confidence interval for population mean is that "A person can be 95% sure that the true population mean lies in it."
Given : The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen.
Interpretation: The admissions director can be 95% sure that the true population mean IQ score of all freshmen lies in (107.8, 116.2).
i.e. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.
Hence, the explanation is absolutely "correct" .
Answer:
The approximate measure of angle K is 34°
Step-by-step explanation:
In ΔJKL
∠L = 105°
JK = 4.7
JL = 2.7
Sine Rule:
So,
K ≈ 34°
So, Option B is true
Hence The approximate measure of angle K is 34°
Complete question :
designs a board game in which a card is drawn on each turn. • A blue card means move forward 4 squares. • A red card means move back 6 squares. Liam suggests adding some other cards to Sia's game Part A Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.
Answer:
2 squares backward
Step-by-step explanation:
Given the rule :
Blue card = 4 squares forward
Red card = 6 squares backward
Yellow card = drawing a blue followed by a red
Spaces moved after drawing a yellow card:
Yellow equals :
Blue = + 4 squares ; then
Red = - 6 squares
Net total movement :
Blue + red
+4 + (-6)
4 - 6
- 2
2 squares backward
