First we need to find where the 2 graphs intercept.
x^2 + 3 = - (x^2 - 4x + 4) + 7
x^2 + 3 = -x^2 + 4x + 3
2x^2 - 4x = 0
2x(x - 2)
x = 0 , 2. are x coordinates of the 2 intercepts.
Answer:
The probability is 0.9909.
Step-by-step explanation:
Test statistic (z) = (sample mean - population mean) ÷ (sd/√n)
sample mean = 290 days
population mean = 298 days
sd = 22 days
n = 42
z = (290 - 298) ÷ (22/√42) = -8 ÷ 3.395 = -2.36
The cumulative area of the test statistic is the probability that the mean gestation period is less than 290 days. The cumulative area is 0.9909. Therefore the probability is 0.9909.
Answer:
The correct answer is first option. 270 m³
Step-by-step explanation:
Formula:
Volume of prism = Base area * Height
Area of triangle = bh/2 where b - base and h - height
From the figure we can see that height of prism = 36 m
Base is a right angled triangle with base 5 m and height = 3 m
<u>To find the Base area</u>
Area of triangle = bh/2 = (3 * 5)/2 = 15/2 = 7.5
<u>To find the volume of prism</u>
Volume = Base area * height = 7.5 * 36 = 270 m³
Therefore the correct answer is first option . 270 m³
Answer: 684
Step-by-step explanation:
95% of 720
Move decimal point two places to the right.
0.95 * 720 = 684
3/7 is equal to 9/21 because when you simplify 9/21 you can divide both 9 and 21 with 3 so you would get 3/7
hope this helps
