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Neko [114]
3 years ago
8

Given the function g described by ​g(x) = -8x-5, find g(-9)

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

g(-9)=-8\cdot(-9)-5=72-5=67

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CAN SOMEONE PLEASE HELP ME WITH THIS QUICKLY!!!!!!!!!!!!!!!
Korvikt [17]
I think it’s the 3rd one i’m sorry if i am am wrong
5 0
3 years ago
The newly elected president needs to decide the remaining 8 spots available in the cabinet he/she is appointing. If there are 14
Elanso [62]

Answer:

The members of the cabinet can be appointed in 121,080,960 different ways.

Step-by-step explanation:

The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?

Permutations of 8 from a set of 14. So

P_{(14,8)} = \frac{14!}{(14-8)!} = 121,080,960

The members of the cabinet can be appointed in 121,080,960 different ways.

3 0
3 years ago
The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 h
DaniilM [7]

Answer:

Probability that a battery will last more than 19 hours is 0.0668.

Step-by-step explanation:

We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

<em>Let X = lifetime of a battery in a certain application</em>

So, X ~ N(\mu=16,\sigma^{2} =2^{2})

The z-score probability distribution for normal distribution is given by;

               Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean lifetime = 16 hours

            \sigma = standard deviation = 2 hours

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)

  P(X > 19) = P( \frac{  X -\mu}{\sigma} > \frac{19-16}{2} ) = P(Z > 1.50) = 1 - P(Z \leq 1.50)

                                              = 1 - 0.9332 = 0.0668

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.</em>

Hence, the probability that a battery will last more than 19 hours is 0.0668.

5 0
3 years ago
Can you please help
Free_Kalibri [48]

Answer:

The answer to the question provided is

\frac{9}{5}

Step-by-step explanation:

T

4 0
3 years ago
Help me answering this question
tatuchka [14]

Answer:

D

Step-by-step explanation:

when we perform each of these transformations, the only one that does <u>NOT</u> make shape F congruent (the same position, orientation and size) with shape G, for it reflects over and axis making it mirror to G, but is then ROTATED 90 degrees into shape G's sector, rotating the shape 90 degrees as well

hope this helps ya out :)

7 0
2 years ago
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