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aalyn [17]
2 years ago
9

Line k is parallel to line l

Mathematics
2 answers:
lyudmila [28]2 years ago
5 0
Hi,
Angle 1. From what I have learnt, Angle 4= Angle 1 and their angle property is known as the vertically opposite angles :)
Hope this helps :)

~Top
pickupchik [31]2 years ago
3 0
Angle 1. Because angle 4 and 1 are vertical angles and vertical angles are congruent. 
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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
Mike has 8 feet of rope . How many inches of rope does he have.
Ostrovityanka [42]
96 in. of rope.
8x12=96
4 0
3 years ago
Read 2 more answers
Solve for a<br> 8 + 4a = 3a
Vilka [71]

Answer:-8

Step-by-step explanation:

8+4a=3a

8=3a-4a

8=-a

a=-8

5 0
3 years ago
What is the explicit formula for this sequence?
djyliett [7]

Answer:

C. an= -3+ (n - 115)

Step-by-step explanation:

hope it help

5 0
2 years ago
{(-9,3) (5,-6) (3,-1), (-6,5), ?}Which ordered pair can replace the missing value and make the set if ordered pairs NOT a functi
Nookie1986 [14]
\text{Slope}=\frac{-1--6}{3-5}=\frac{5}{-2}\begin{gathered} y-y_1=\frac{5}{-2}(x-x_1) \\  \\ y--6=\frac{5}{-2}(x-5) \\  \\ -2(y+6)=5(x-5) \\ -2y-12=5x-25 \\ 5x+2y=25-12 \\ 5x+2y=13 \end{gathered}

The missing values are (-6, -9) ( The last option)

Explanation:

x= - 6 has already produced the value of y as 5, the only pair in the given option the make the given ordered pairs NOT to be a function is (-6, -9) since it will give the value of y to be - 9.

4 0
1 year ago
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