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3 years ago

Let f(x)=x^2+2 and g(x)=2x,find (fog)( x)

Mathematics

1 answer:

Artist 52 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

f(x) = x² + 2

g(x) = 2x

To find (fog)( x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)

We have

(fog)( x) = ( 2x)² + 2

We have the final answer as

Hope this helps you

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a carnival game consists of 3 dart throws at a target. The probability of scoring a hit on any one throw is 30%. Using the binom

Ghella [55]

Answer: Probability of scoring 2 hits = 0.63.

Step-by-step explanation:

Since we have given that

Number of dart throws at a target = 3

Probability of scoring a hit on any one throw = 30%

We will use "Binomial Distribution" i.e.

$P=^nC_rp^r(1-p)^{n-r}$

where,

n denotes number of dart throws at a target,

r denotes number of required throws

p denotes probability of success

(1-p) denotes probability of failure

So, Probability of success is given by

$\frac{30}{100}=\frac{3}{10}$

Probability of failure is given by

$1-\frac{30}{100}=\frac{70}{100}=\frac{7}{10}$

We will use "Binomial Distribution" i.e.

$P(X=2)=^3C_2(\frac{3}{10})^2\times (\frac{7}{10})\\\\P(X=2)=\frac{9}{100}\times \frac{7}{100}\\\\P(X=2)=\frac{63}{100}\\\\P(X=2)=0.63$

Hence, Probability of scoring 2 hits = 0.63.

3 0

4 years ago

1/5 part of pole is inside the mud, 2/3 part is inside the water and the remaining length of 10m is above the surface of the wat

wolverine [178]

Answer:

75 m

Step-by-step explanation:

Let the length of the pole to be : x m

1/5 of x is inside the mud, this will be : 1/5 x

2/3 of x in inside water , this will be : 2/3 x

10 m remaining is above the water surface. Finding the fraction that remains will follow;

x - {1/5 x + 2/3x } = 10

x-13/15 x =10

2/15 x = 10

x= 75 m

6 0

3 years ago

Rewrite 7/6 divided by 1/3

Arte-miy333 [17]

Answer:

7/6 * 3/1 =21/6 you just flip the fraction when doing division.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Planet Distance from sun in (km) Distance in Scientific Notation

Goryan [66]

Answer:

779000000" (and any subsequent words) was ignored because we limit queries to 32 words.

7 0

3 years ago

Given right triangle MNL, what is the value of cos(M)? Three-fifths Three-fourths Four-fifths Five-thirds

lidiya [134]

By applying the Pythagorean Theorem and the Trigonometry ratio, CAH, the value of cos(M) = 4/5

<em><u>Recall:</u></em>

Trigonometry ratios, <em>SOH CAH TOA</em> can be applied to solve a right triangle.

Pythagorean Theorem can also be applied which is: c² = b² + a², where c is the longest side (hypotenuse length).

<em><u>Given:</u></em>

ΔMNL is a right triangle

ML = 25

NL = 15

Find MN using the Pythagorean Theorem:

MN = √(ML² - NL²)

MN = √(25² - 15²)

MN = 20

To find the value of cos(M), apply the trigonometry ratio, CAH, which is:

cos ∅ = Adj/Hyp

Where,

∅ = M (reference angle)

Hypotenuse = ML = 25

Adjacent = MN = 20

Plug in the values:

cos(M) = 20/25

cos(M) = 4/5

Learn more about Trigonometry ratios on:

brainly.com/question/10417664

5 0

3 years ago