Answer:
The probability that all will last at least 30,000 miles is 0.3164.
Step-by-step explanation:
Consider the provided information.
For a particular tire brand, the probability of wearing out before 30,000 miles is 0.25. Someone who buys a set of four of these tires,
That means the probability of not wearing out is 1-0.25 = 0.75
Now use the binomial distribution formula.

Substitute p = 0.25, q=0.75, r=4 and n=4



The probability that all will last at least 30,000 miles is 0.3164.
Answer:

Step-by-step explanation:
The submersible is diving at a down angle of 15° along the hypotenuse AC of triangle ABC.
Its horizontal track along the surface AB is 1500 ft.

The submersible was already at a depth of 250 feet when it began the dive.
New depth = 250 + 402 = 652 ft

Answer:
4/2 or 4 carrots: 2 cups water
Step-by-step explanation:
<span>Two lines are parallel if their slope is the same.
You want to write 8x + 4y = 5 in the form y = mx + b, where m represents the slope and b is the y-intercept.
We need to isolate y in the given equation. The number next to x is the slope.
8x + 4y = 5
4y = -8x + 5
y = (-8x +5)/4
y = -2x + 5/4
The slope of the line we want is -2.
Two lines are perpendicular if the slope of the first line times the
slope of the second line produces a product of negative one.
Since our slope is -2, we know that -2 times 1/2 yields -1.
The slope of the line perpendicular is 1/2.
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