Answer: -2
Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0
Then you add 4 to 0 so -2r=4 then divide
Answer: the base is 28 inches. The altitude is 9 inches
Step-by-step explanation:
Let h represent the altitude of the sign.
Let b represent the length if the base of the sign.
The warning sign is triangular in shape.
The formula for determining the area of a triangle is expressed as
Area = 1/2bh
The base of the sign is 9 inches longer than the altitude. This means that
b = h + 9
If the area of the sign is 266 square inches, it means that
266 = 1/2 × h(h + 9)
266 × 2 = h(h + 9)
532 = h² + 9h
h² + 9h - 532 = 0
h² + 28h - 19h - 532 = 0
h(h + 28) - 19(h + 28) = 0
h(h + 28) - 19(h + 28) = 0
(h + 28)(h - 19) = 0
h = 19 or h = - 28
Since the height cannot be negative, then h = 19
b = h + 9 = 10 + 9
b = 28
Answer:
0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 114.8 mm Hg
Standard Deviation, σ = 13.1 mm Hg
Sample size = 23
We are given that the distribution of systolic blood pressures is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:
P(blood pressure is between 119 and 122 mm Hg)
0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.
Answer:
y = 16.3
Step-by-step explanation:
We would apply the formula for altitude of a right triangle which is given as:
h = √(xy)
Where,
h = 14
x = 12
y = y = ?
Plug in the values
14 = √(12*y)
14² = (√(12*y) (squaring both sides)
196 = 12*y
196/12 = 12y/12 (division property of equality)
16.3 = y (nearest tenth)
y = 16.3
<u>starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).</u>
