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3 years ago

1. Cole bought a snowmobile for $600. He spent $430 on parts to fix it, then sold it for

Mathematics

1 answer:

Alex73 [517]3 years ago

5 0

Answer:

70$ profit

8.75 per hour

Step-by-step explanation:

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Write an equation of the line below<br> (0,-4) and (5,-6)

11111nata11111 [884]

What kind of equation?

6 0

3 years ago

Find all zeros. One zero had been give

nekit [7.7K]

Answer:

The three zeros of the original function f(x) are {-1/2, -3, -5}.

Step-by-step explanation:

"Synthetic division" is the perfect tool for approaching this problem. Long div. would also "work."

Use -5 as the first divisor in synthetic division:

------------------------

-5 2 17 38 15

-10 -35 -15

--------------------------

2 7 3 0

Note that there's no remainder here. That tells us that -5 is indeed a zero of the given function. We can apply synthetic div. again to the remaining three coefficients, as follows:

-------------

-3 2 7 3

-6 -3

-----------------

2 1 0

Note that the '3' in 2 7 3 tells me that -3, 3, -1 or 1 may be an additional zero. As luck would have it, using -3 as a divisor (see above) results in no remainder, confirming that -3 is the second zero of the original function.

That leaves the coefficients 2 1. This corresponds to 2x + 1 = 0, which is easily solved for x:

If 2x + 1 = 0, then 2x = -1, and x = -1/2.

Thus, the three zeros of the original function f(x) are {-1/2, -3, -5}.

6 0

3 years ago

How do I write 2sin(0.6)cos(0.6) in one trigonometric function

levacccp [35]

<span>sin(2x)= 2sin(x)cos(x)

can you finish the rest or need more help?

sin(6/5) should be the answer

so we have 2 sin(0.6)cos(0.6)

we know its sin (2x) identity
x=0.6
so its sin(2*0.6)</span>

4 0

3 years ago

The lengths of nails produced in a factory are normally distributed with a mean of 5.02 centimeters and a standard deviation of

zaharov [31]

Answer:

The length that separates the top 6% is 5.1 centimeters.

The length that separates the bottom 6% is 4.94 centimeters.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 5.02, \sigma = 0.05$