Can someone help me understand this?

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact. f(

lianna [129]

Answer:

Step-by-step explanation:

Part of the definition of a polynomial is that the exponents have to be non-negative integers. In other words, it cannot have a fraction as an exponent or an imaginary number. Our polynomial has real non-negative exponents, so it is in fact a polynomial. The degree is found in the highest exponent of the polynomial. Ours is a 5th degree. The leading coefficient is the number stuck to the x that has the highest degree. Therefore, our leading coefficient is -16. B is your choice.

7 0

3 years ago

Simplify the following. 8 × -7

Jlenok [28]

Answer:

8*-7= -56

Step-by-step explanation:

How I solved it in my head

8*6= 48

48+7= 56

If you multiply any number with a negative, the answer becomes a negative

4 0

3 years ago

How do I work this out

Iteru [2.4K]

If the track is 10km long, and X travels at 40 km/h, it will take 1 hour to do 4 laps. this means that car X will do one lap in 15 minutes. Y travels at 30 km/h, which means it will do 3 laps in 1 hour, meaning that car X will do 1 lap in 20 minutes.

X- 15, 30, 45, 60
Y-20, 40, 60

Therefore, after an hour, they will pass again.

5 0

4 years ago

Question 4 (5 points)

klemol [59]

Answer: B (-2)

Step-by-step explanation:

[log base b of a = c] turns into [b^c = a]

You have log base 5 of 1/25 = ?, so it turns into 5^? = 1/25

This part is sort of guess and check, but we can look at it to find the answer pretty easily. First, it's 1/n, so we should use a negative power: 5^-1 = 1/5

In addition to being in the denominator, it's 25, which is 5^2.

So, if we want to put it in a reciprocal as well as square it, we can use -2:

5^(-2) = 1/(5^2) = 1/25

Since -2 (B) is the exponent we place on 5 to get 1/25, it is also the answer to log base 5 of 1/25.

8 0

3 years ago

Read 2 more answers

Each item produced by a certain manufacturer is independently of acceptable quality with probability 0.95. Approximate the proba

Diano4ka-milaya [45]

Answer:

The probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

Step-by-step explanation:

Let X = number of items with unacceptable quality.

The probability of an item being unacceptable is, P (X) = p = 0.05.

The sample of items selected is of size, n = 150.

The random variable X follows a Binomial distribution with parameters n = 150 and p = 0.05.

According to the Central limit theorem, if a sample of large size (n > 30) is selected from an unknown population then the sampling distribution of sample mean can be approximated by the Normal distribution.

The mean of this sampling distribution is: $\mu_{\hat p}= p=0.05$

The standard deviation of this sampling distribution is: $\sigma_{\hat p}=\sqrt{\frac{ p(1-p)}{n}}=\sqrt{\frac{0.05(1-.0.05)}{150} }=0.0178$

If 10 of the 150 items produced are unacceptable then the probability of this event is:

$\hat p=\frac{10}{150}=0.067$

Compute the value of $P(\hat p\leq 0.067)$ as follows:

$P(\hat p\leq 0.067)=P(\frac{\hat p-\mu_{p}}{\sigma_{p}} \leq\frac{0.067-0.05}{0.0178})=P(Z\leq 0.96)=0.8315$

*Use a z-table for the probability.

Thus, the probability that at most 10 of the next 150 items produced are unacceptable is 0.8315.

5 0

3 years ago