When it comes to probability, the answer is always expressed as part of a whole. With that being said, your answer for this problem can be a ratio, fraction or in percentage. Probability is the study of finding the chances or odds of an event happening with the use of statistics. You are already given the statistics of baby girls and baby boys. Note that you are asked to find the probability of the baby being a girl. So, the part here includes the 248, while the whole is 248+13 = 261. Therefore, the probability is 248/261 or 0.95 or 95%. That means that the likelihood of having a girl baby using this technique is very high.
Since each point of the triangle is going to be 1.5 times as far from the center of dilation, each side will increase by a factor of 1.5..
3 x 1.5 = 4.5m
4 x 1.5 = 6m
5 x 1.5 = 7.5m
So the perimeter of the new triangle will be 4.5 + 6 + 7.5 = 18 meters
We need to make an equation. The equation used to find perimeter is 2L+2W=A
We know that the area is 24 cm. We also know that the length is 3 cm more than its width: L=3+W; let's plug that equation in for L.
2(3+W)+2W=24; let's simplify the parenthesis. 6+2w+2w=24 6+4w=24; subtract 6 from both sides. 4w=18; divide both sides by 4. W=4.5
Let's find the length if the width is 4.5.
4.5+3=7.5; So, the length is 7.5 and the width is 4.5. Let's check. 2(7.5)+2(4.5)=15+9=24
So, the length is 7.5 and the width is 4.5.
The horizontal distance is given by the formula:
tan θ=opposite/adjacent
where:
θ=21
opposite=2000 ft
adjacent=a
thus calculating for a we get:
tan 21=2000/a
thus
a=2000/tan 21
a=5210.18 ft
Answer: 5210.18 ft
Answer:
Step-by-step explanation:
b² - 4b - 12 = b² - 6b + 2b - 2*6
=b*(b -6) + 2*(b - 6)
= (b - 6) (b + 2)
b² - 4b - 12 = 0
(b - 6) (b + 2) = 0
b - 6 = 0 or b + 2 = 0
b = 6 or b = -2
