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Brilliant_brown [7]
3 years ago
11

If f(x)=2x-4and g(x)=x^2 what is f(g(x))

Mathematics
1 answer:
DerKrebs [107]3 years ago
7 0
F(g(x))
sub g(x) for every x in f(x)

f(g(x))=2(g(x))-4
f(x^2)=2(x²)-4
f(g(x))=2x²-4
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A costume designer bought 1.4 kg of sequince. She used 250 grams to make a crown and 400 grams to make a cape. How many grams of
Salsk061 [2.6K]
Find the total amount in grams.

1 kg = 1000 g

1.4 * 1000 = 1400

So she bought a total of 1400 grams.

Add up the grams she used:

400 + 250 = 650

Subtract it from the total:

1400 - 650 = 750

So 750 grams of sequence were left.
5 0
3 years ago
Read 2 more answers
A software engineer is creating a new computer software program. She wants to make sure that the crash rate is extremely low so
Soloha48 [4]

Answer:

a) the sample size is 400

b) 95% confidence Interval for p is ( 0.0286, 0.0714 )

Step-by-step explanation:

Given the data in the question;

sample size n = 400

x = 20

p = x / n = 20 / 400 = 0.05

q = 1 - p = 1 - 0.05 = 0.95

a)

n = 400

Hence, the sample size is 400

b) 95% confidence Interval for p;

At 95% confidence interval,

significance level ∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05 / 2 = 0.025

so, Z critical Value ; Z_{\alpha /2 = 1.96  { from table }

So for Confidence Interval for p;

⇒ p' ± Z_{\alpha /2√( p'q' / n )

we substitute

⇒ 0.05 ± 1.96√( (0.05 × 0.95 ) / 400 )

⇒ 0.05 ± 1.96√( 0.00011875 )

⇒ 0.05 ± 1.96 × 0.010897

⇒ 0.05 ± 0.021358

⇒ ( 0.05 - 0.021358 ), ( 0.05 + 0.021358 )

⇒ ( 0.0286, 0.0714 )

Therefore, 95% confidence Interval for p is ( 0.0286, 0.0714 )

8 0
3 years ago
Please hurryyyy help me with this
Verizon [17]
A) The peak of the curve has coordinates (3, 45). Thus the maximum is 45 hundred dollars. It occurs when 3 hundred dollars are spent on advertisiing.
  The maximum possible monthly profit of the shop is about $4500.

b) The x interval over which P(x) is greater than zero appears to be 0 to 10 hundred dollars. What is not clear from the question is whether the expected answer is (0, 10) or (0, 1000).

c) The maximum profit is earned when $300 is spent on advertising.
6 0
3 years ago
(1 point) Suppose we will flip a fair coin 100 times. (a) What does 35 heads correspond to on the standard scale? (enter exact a
vlada-n [284]

Answer:

(a) 35 heads correspond to -3 on the standard scale.

(b) z = 2.4 corresponds to 62 heads on the number of heads scale.

Step-by-step explanation:

(a) If we flip a fair coin once, probability of getting head = 0.5

If we flip a fair coin 100 times, mean number of heads = 100(0.5) = 50

If there are N draws with a P probability of success, the standard deviation (SD) is given as:

SD = \sqrt{(N)(P)(1 - P)}

Here, the probability of getting a head (P) is 0.5 while the number of draws (N) is 100. So,

SD = \sqrt{(100)(0.5)(1-0.5)}

SD = 5

The standard scale value is: (35 - 50) / 5 = -3

Hence, 35 heads correspond to -3 on the standard scale.

(b) The standard scale value is 2.4 and we need to find the number of heads.

(X - 50) / 5 = 2.4

X - 50 = 12

X = 62

Hence, z = 2.4 on the standard scale corresponds to 62 on the number of heads scale.

4 0
3 years ago
A baseball team wants a pitcher no more 150 innings during a season. So far, the pitcher has pitched <img src="https://tex.z-dn.
butalik [34]

Answer:

C. 6 because any answer besides that is too low or too high.

Step-by-step explanation:

110.25 pitches so far- 150 at max. 5.75 pitches per game.

4: 4x5.75 = 23

110.25 + 23 = 133.25

5. 5x5.75 = 28.75

110.25 + 28.75 = 139

6: 6x5.75 = 34.5

110.25 + 34.5 = 144.75

7: 7x5.75 = 40.25

110.25 + 40.25 = 150.50 > which rounds up to 151

5 0
3 years ago
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