Answer:
17 and 19
Step-by-step explanation:
n= lesser integer n+2= greater integer
2(n+2) = 3n -13
2n +4 = 3n-13
n= 17
lesser number =17
The other greater number = 19 (they are odd,so skipping 18)
19 x 2 = 38
17x3 - 13 =51-13 = 38
Answer: 0.4013
Step-by-step explanation:
Given : The volumes of soda in quart soda bottles are normally distributed with :
Let x be the volume of randomly selected quart soda bottle.
z-score :
The probability that the volume of soda in a randomly selected bottle will be less than 32 oz =
Hence, the probability that the volume of soda in a randomly selected bottle will be less than 32 oz is 0.4013
Answer:
8 units
Step-by-step explanation:
Hello!
So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c = , where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.
So, from the problem, if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.
Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.
So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>
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So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome
Answer: The projectile reaches its maximum height after 20 seconds.
Step-by-step explanation:
Given the function:
You can following formula (which gives the x -coordinate of the vertex of the parabola) in order to find after how many seconds the projectile takes to reach its maximum height:
In this case you can identify that the values of "a" and "b" are:
Then, substituting values into the formula, you get the following result:
Therefore,based on this, the conclusion is: The projectile reaches its maximum height after 20 seconds.