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Mnenie [13.5K]
3 years ago
13

Please help I will be very grateful for this

Mathematics
2 answers:
12345 [234]3 years ago
6 0

Answer:

Step-by-step explanation:

your answer would be B.

add and subtract the second turn to the expression and Factor by grouping

mixer [17]3 years ago
5 0

Answer:

____________

the answer is B

___________

explanation

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(x^2 - 2x) - 3xy + 6y

Factor out the greatest common factor (GCF) from each group.

x(x - 2) - 3y (x - 2)

Factor the polynomial by factoring out the greatest common factor, x - 2

(x - 2) (x - 3y)

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What is the pressure in atmospheres exerted by a 0.500 mole sample of nitrogen gas in a 10.0 L container at 25.0°C?
drek231 [11]

Answer:

1.2218 atm

Step-by-step explanation:

From ideal gas formula,

PV=nRT

Where n= number of moles

V= volume

T= temperature=25.0°C

= (273 + 25) = 298 K

R= gas constant = 0.082 l atm /K mol.

Making P subject of formula we have

P= [nRT] /V

Then substitute the values we have

P= [0.5 x 0.082 x 298] / 10

P= 1.2218 atm

6 0
3 years ago
How to inverse this function step by step <br> f(x)=x-3/5
Nitella [24]

f(x)=x3−5

Replace f(x)

with y

.

y=x3−5

Interchange the variables.

x=y3−5

Solve for y

.


Since y

is on the right side of the equation, switch the sides so it is on the left side of the equation.

y3−5=x

Add 5

to both sides of the equation.

y3=5+x

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

y=3√5+x

Solve for y

and replace with f−1(x)

.


Replace the y

with f−1(x)

to show the final answer.

f−1(x)=3√5+x

Set up the composite result function.

f(g(x))

Evaluate f(g(x))

by substituting in the value of g into f

.

(3√5+x)3−5

Simplify each term.


Remove parentheses around 3√5+x

.

f(3√5+x)=3√5+x3−5

Rewrite 3√5+x3

as 5+x

.

f(3√5+x)=5+x−5

Simplify by subtracting numbers.

.

Subtract 5

from 5

.

f(3√5+x)=x+0

Add x

and 0

.

f(3√5+x)=x

Since f(g(x))=x

, f−1(x)=3√5+x is the inverse of f(x)=x3−5

.

f−1(x)=3√5+x

5 0
3 years ago
The speed of a locomotive without any wagons attached to it
alexdok [17]

Answer:

need more detail to answer correctly

Step-by-step explanation:

5 0
3 years ago
It's all politics: A politician in a close election race claims that 52% of the voters support him. A poll is taken in which 200
riadik2000 [5.3K]

Answer:

a) P(x ≤ 0.44) = 0.02275

b) The probability of obtaining a sample proportion less than or equal to 0.44 is very low (2.275%), hence, it would be unusual to obtain a sample proportion less than or equal to 0.44.

c) P(x ≤ 0.50) = 0.30854

A probability of 30.854% doesn't scream unusual, but it is still not a very high probability. So, it is still slightly unusual to obtain a sample proportion of less than half of the voters that don't support the politician.

Step-by-step explanation:

Given,

p = population proportion that support the politician = 0.52

n = sample size = 200

(np = 104) and [np(1-p) = 49.92] are both greater than 10, So, we can treat this problem like a normal distribution problem.

This is a normal distribution problem with

Mean = μ = 0.52

Standard deviation of the sample proportion in the distribution of sample means = σ = √[p(1-p)/n]

σ = √[0.52×0.48)/200]

σ = 0.035 ≈ 0.04

a) Probability of obtaining a sample proportion that is less than or equal to 0.44. P(x ≤ 0.44)

We first normalize/standardize/obtain z-scores for a sample proportion of 0.44

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (0.44 - 0.52)/0.04 = -2.00

To determine the probability of obtaining a sample proportion that is less than or equal to 0.44.

P(x ≤ 0.44) = P(z ≤ -2)

We'll use data from the normal probability table for these probabilities

P(x ≤ 0.44) = P(z ≤ -2) = 0.02275

b) Would it be unusual to obtain a sample proportion less than or equal to 0.44 if the politician's claim is true?

The probability of obtaining a sample proportion less than or equal to 0.44 is 0.02275; that is, 2.275%.

The probability of this occurring is very low, hence, it would be unusual to obtain a sample proportion less than or equal to 0.44.

c) If the claim is true, would it be unusual for less than half of the voters in the sample to support the politician?

Sample proportion that matches half of the voters = 0.50

P(x < 0.50)

We follow the same pattern as in (a)

We first normalize/standardize/obtain z-scores for a sample proportion of 0.50

z = (x - μ)/σ = (0.50 - 0.52)/0.04 = -0.50

To determine the probability of obtaining a sample proportion that is less than 0.50

P(x < 0.50) = P(z < -0.50)

We'll use data from the normal probability table for these probabilities

P(x < 0.50) = P(z < -0.50) = 1 - P(z ≥ -0.50) = 1 - P(z ≤ 0.50) = 1 - 0.69146 = 0.30854

Probability of obtaining a sample proportion of less than half of the voters that support the politician = 0.30854 = 30.854%

This value is still not very high, it would still he unusual to obtain such a sample proportion that don't support the politician, but it isn't as unusual as that calculated in (a) and (b) above.

Hope this Helps!!!

3 0
3 years ago
how do i solve this. show all steps plz. this due very soon. help asap no idea what to do. ➡️MAKE SURE TO SHOW ALL STEPS!!!⬅️
noname [10]
First, subtract 14 from 153.80 to get the ticket prices alone. You would get 139.8

Then, since they’re buying 4 tickets, you divide 139.8 by four to get the individual ticket pricing,
meaning your final answer would be $34.95

153.80=4x+14 ⬅️ y-int form if you need that to solve
3 0
3 years ago
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