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rodikova [14]
3 years ago
9

If g(x) = x4

atex-formula"> − x3 + x2 − x, find g(−16).

Mathematics
1 answer:
ELEN [110]3 years ago
4 0
Answer: 69,904

Explanation:
g(-16)= (-16)^4-(-16)^3+(-16)^2-(-16)
g(-16)= (65,536)-(-4,096)+(256)-(-16)
g(-16)= 65,536+4,096+256+16
g(-16)=69,904

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a square measuring 9 inches by 9 inches is cut from the corners of a square measuring 15 inches by 15 inches what is the area of
ss7ja [257]

Answer:

144 in²

Step-by-step explanation:

Find the area of the larger square, then subtract the area of the square we cut out.

The larger square has side length of 15, so it has an area of 15² = 225 in²

The smaller square has side length of 9, so it has an area of 9² = 81 in²

The area left over is

225 - 81 = 144 in²

3 0
3 years ago
A simple random sample of size n=14 is obtained from a population with μ=64 and σ=19.
madam [21]

Answer:

a) A. The population must be normally distributed

b) P(X < 68.2) = 0.7967

c) P(X  ≥  65.6) = 0.3745

Step-by-step explanation:

a) The population is normally distributed having a mean (\mu_x) = 64  and a standard deviation (\sigma_x) = \frac{19}{\sqrt{14} }

b) P(X < 68.2)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x} but μ=64 and σ=19 and n=14,  \mu_x=\mu=64 and \sigma_x=\frac{ \sigma}{\sqrt{n} }=\frac{19}{\sqrt{14} }

Therefore: z=\frac{68.2-64}{\frac{19}{\sqrt{14} } }=0.83

From z table, P(X < 68.2) = P(z < 0.83) = 0.7967

P(X < 68.2) = 0.7967

c) P(X  ≥  65.6)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x}

Therefore: z=\frac{65.6-64}{\frac{19}{\sqrt{14} } }=0.32

From z table,  P(X  ≥  65.6) =  P(z  ≥  0.32) = 1 -  P(z  <  0.32) = 1 - 0.6255 = 0.3745

P(X  ≥  65.6) = 0.3745

P(X < 68.2) = 0.7967

5 0
3 years ago
Keisha has a total of 90 coins all of which are either dimes or quarters the total value of the coins is $13.50 find the number
OLga [1]
1 dime and 14 quarters
5 0
3 years ago
Bryan owes his friend more than $1,930 from a loan. Bryan has already paid his friend back $200 and continues to pay him $173 ea
Ann [662]

Answer:

Choice C

Step-by-step explanation:

Bryan owes MORE than $1930 which means how much he pays back is going to be greater than 1930$

And so, $200 + $173 for certain number of months is going to be more than 1930.

Therefore, $200+ $173x >$1930

Hope this helped..

Have a great day : )

8 0
3 years ago
Match each description with its symbolic representation.
Artist 52 [7]
The scenarios matched up are as summarized:
1 is matched with E
2 is matched with D
3 is matched with F
4 is matched with A
5 is matched with C 
and lastly 6 is matched with B
7 0
3 years ago
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