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3 years ago

I dont quite understand how to do this

Mathematics

1 answer:

Oxana [17]3 years ago

6 0

Answer:

Step-by-step explanation:

substitute -3 in for x

f(-3)=(-3)²+1=

9+1=10

(You can ignore the g(x) part - it has nothing to do with this question.)

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Fin the domain of the function f(x)=x^2+7

drek231 [11]

Answer:

all real numbers

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Sean is taking drivers ed. And the instructor asked him to stay within 2 miles of the posted speed limits. The current speed lim

Aleonysh [2.5K]

Answer:

{x| 43 ≤ x ≤ 47} where x = Sean's speed (in mph)

Step-by-step explanation:

Sean is taking driver's ed. The instructor asked him to stay within 2 miles of the posted speed limits. The current speed limit is 45 mph.

So, the maximum speed which Sean can reach is, (45 + 2) mph

=47 mph

and, the minimum speed which Sean can reach is, (45 - 2) mph

=43 mph

so, {x| 43 ≤ x ≤ 47} where x = Sean's speed (in mph)

3 0

3 years ago

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

Identify the properties of the given quadratic.

Komok [63]

Answer:

see explanation

Step-by-step explanation:

A quadratic function in standard form is

y = ax² + bx + c (a ≠ 0 )

Given

y = - 3x² + 6x + 17 ← compare coefficients with standard form, then

a = - 3, b = 6, c = 17

Given the quadratic in standard form the the equation of the axis of symmetry is

x = - $\frac{b}{2a}$ = - $\frac{6}{-6}$ = 1

Equation of axis of symmetry is x = 1

4 0

3 years ago

Increase 58.50 by 10% working

natka813 [3]

Answer:

Final Value = 58.50 × (1 + 10/100)

Final Value = 58.50 × (1 + 0.1)

Final Value = 58.50 × (1.1)

Final Value = 64.35

8 0

3 years ago

Read 2 more answers

I dont quite understand how to do this​

I dont quite understand how to do this