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astraxan [27]
3 years ago
8

Find the complete factored form of the polynomial: 6xy - 8x2

Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

Answer:

2x(3y-4x)

Step-by-step explanation:

6xy - 8x^2

Factor out the greatest common factor of 2x

2x*3y  -2x*4x

2x(3y-4x)

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Hailey records the weights of five dogs of one breed and five dogs of another breed.
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Its B, breed 1 dogs and breed 2 dogs have somewhat similar weight distributions 
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3 years ago
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Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8
morpeh [17]

Answer:

Step-by-step explanation:

H₀ : The distribution of the sample agrees with the population distribution.

H₁ : the distribution of the does not agree with the population distribution.

Using the  Chi-square test statistics

we will compute the expected frequencies

Now expected frequency for Washington will be

Fe = Npi = 1000×51% = 5100

expected frequency for Oregon

Fe = Npi = 1000×30% = 300

expected frequency for Idaho

Fe = Npi = 1000×11% = 110

expected frequency for  Montana

Fe = Npi = 1000×8% = 80

The Chi=square test statistics is;

x² = ∑ [ (Fo - Fe)² / Fe )

now we substitute

Given our Fo ( 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana) from the question

x² =  (450-510)²/510 + (340-300)²/300 + (150-110)²/110 + (60-80)²/80

x²= 31.9376

so the chi-square test statistics is 31.9376

Now the chi-square critical value

first we compute for degree of freedom

d.f = k -1 = 4 - 1 = 3

So from the critical value table, degree of freedom 3 and significance level 0.05,

the chi-square critical value is 7.8147

Therefore chi-square test statistics 31.9376 is greater than the chi-square critical value 7.8147, so NULL HYPOTHESIS IS REJECTED at 5% significance.

There is sufficient evidence to warrant rejection  of the claim that the distribution of the sample agrees with the distribution of the state populations.

3 0
3 years ago
Given: f(x) = x - 7 and h(x) = 2x + 3<br> Write the rule for f(h(x)).
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Work Shown:

f(x) = x - 7

f( h(x) ) = h(x) - 7

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Explanation:

In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.

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