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Shalnov [3]
2 years ago
15

Renee wants to join the local gym. The cost of the membership can be represented by the equation, y=12x+35, where x is the numbe

r of months of the membership, and y
is the total cost.

What is the initial membership fee before any months are considered?
Mathematics
1 answer:
Montano1993 [528]2 years ago
5 0
The initial membership fee before any months are considered is 35.

Substitute 0 with x because no months have been considered. Like what was previously said, y is the total cost, so:

Y=12(0)+35
12 x 0 = 0
Y=0+35
Y=35
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Do students that are "Greek" (those who belong to a sorority/fraternity) have a tendency to be more involved in student governme
balu736 [363]

Answer:

Option B is correct.

The alternative hypothesis is given Mathematically as

Ha: pA - pB > 0

Step-by-step explanation:

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis takes the other side of the hypothesis; that there is indeed a significant difference between two proportions being compared. It usually confirms the the theory being tested by the experimental setup.

For this question, we want to test if students who are "Greek" (those who belong to a sorority/fraternity) have a tendency to be more involved in student government events than students who are "Not Greek" by checking the proportion of each group of students that turn out to vote in the student government elections.

If the proportion of Greek students that turn out to vote in the student government elections = pA

And

The proportion of non-Greek students that turn out to vote in the student government elections = pB

And the difference between them is given as

μ₀ = pA - pB

The theory to be tested that pA > pB, would constitute the alternative hypothesis and the null hypothesis would say that either the proportions are equal or proportion of non-greek students that turn out to vote is more than the proportion of Greek students that turn out to vote in the student government elections.

Mathematically,

The null hypothesis would be that

H₀: μ₀ = pA - pB ≤ 0

or

H₀: pA = pB

And the alternative hypothesis would be that

Hₐ: μ₀ = pA - pB > 0

or

Hₐ: pA > pB

Thereby, confirming the theory to be tested.

Hope this Helps!!!

3 0
3 years ago
Hello, Earthlings! Martian here! Need help with math, I'm new to this subject! You'll get 50 (B) coins for answering!
alekssr [168]

Answer:

answer is 10000

Step-by-step explanation:

THANK U AGAIN <33ewiudhuids

4 0
3 years ago
3/8x + 6(x+3) = -5(1/4x - 1) + 6x find the solution pls
umka21 [38]

Answer:

x = -8

Step-by-step explanation:

Solve for x:

(3 x)/8 + 6 (x + 3) = 6 x - 5 (x/4 - 1)

Hint: | Put the fractions in x/4 - 1 over a common denominator.

Put each term in x/4 - 1 over the common denominator 4: x/4 - 1 = x/4 - 4/4:

(3 x)/8 + 6 (x + 3) = 6 x - 5 x/4 - 4/4

Hint: | Combine x/4 - 4/4 into a single fraction.

x/4 - 4/4 = (x - 4)/4:

(3 x)/8 + 6 (x + 3) = 6 x - 5(x - 4)/4

Hint: | Put the fractions in (3 x)/8 + 6 (x + 3) over a common denominator.

Put each term in (3 x)/8 + 6 (x + 3) over the common denominator 8: (3 x)/8 + 6 (x + 3) = (3 x)/8 + (48 (x + 3))/8:

(3 x)/8 + (48 (x + 3))/8 = 6 x - (5 (x - 4))/4

Hint: | Combine (3 x)/8 + (48 (x + 3))/8 into a single fraction.

(3 x)/8 + (48 (x + 3))/8 = (3 x + 48 (x + 3))/8:

(3 x + 48 (x + 3))/8 = 6 x - (5 (x - 4))/4

Hint: | Distribute 48 over x + 3.

48 (x + 3) = 48 x + 144:

(48 x + 144 + 3 x)/8 = 6 x - (5 (x - 4))/4

Hint: | Group like terms in 48 x + 3 x + 144.

Grouping like terms, 48 x + 3 x + 144 = (3 x + 48 x) + 144:

((3 x + 48 x) + 144)/8 = 6 x - (5 (x - 4))/4

Hint: | Add like terms in 3 x + 48 x.

3 x + 48 x = 51 x:

(51 x + 144)/8 = 6 x - (5 (x - 4))/4

Hint: | Put the fractions in 6 x - (5 (x - 4))/4 over a common denominator.

Put each term in 6 x - (5 (x - 4))/4 over the common denominator 4: 6 x - (5 (x - 4))/4 = (24 x)/4 - (5 (x - 4))/4:

(51 x + 144)/8 = (24 x)/4 - (5 (x - 4))/4

Hint: | Combine (24 x)/4 - (5 (x - 4))/4 into a single fraction.

(24 x)/4 - (5 (x - 4))/4 = (24 x - 5 (x - 4))/4:

(51 x + 144)/8 = (24 x - 5 (x - 4))/4

Hint: | Distribute -5 over x - 4.

-5 (x - 4) = 20 - 5 x:

(51 x + 144)/8 = (24 x + 20 - 5 x)/4

Hint: | Combine like terms in 24 x - 5 x + 20.

24 x - 5 x = 19 x:

(51 x + 144)/8 = (19 x + 20)/4

Hint: | Make (51 x + 144)/8 = (19 x + 20)/4 simpler by multiplying both sides by a constant.

Multiply both sides by 8:

(8 (51 x + 144))/8 = (8 (19 x + 20))/4

Hint: | Cancel common terms in the numerator and denominator of (8 (51 x + 144))/8.

(8 (51 x + 144))/8 = 8/8×(51 x + 144) = 51 x + 144:

51 x + 144 = (8 (19 x + 20))/4

Hint: | In (8 (19 x + 20))/4, divide 8 in the numerator by 4 in the denominator.

8/4 = (4×2)/4 = 2:

51 x + 144 = 2 (19 x + 20)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

51 x + 144 = 38 x + 40

Hint: | Move terms with x to the left hand side.

Subtract 38 x from both sides:

(51 x - 38 x) + 144 = (38 x - 38 x) + 40

Hint: | Combine like terms in 51 x - 38 x.

51 x - 38 x = 13 x:

13 x + 144 = (38 x - 38 x) + 40

Hint: | Look for the difference of two identical terms.

38 x - 38 x = 0:

13 x + 144 = 40

Hint: | Isolate terms with x to the left hand side.

Subtract 144 from both sides:

13 x + (144 - 144) = 40 - 144

Hint: | Look for the difference of two identical terms.

144 - 144 = 0:

13 x = 40 - 144

Hint: | Evaluate 40 - 144.

40 - 144 = -104:

13 x = -104

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 13 x = -104 by 13:

(13 x)/13 = (-104)/13

Hint: | Any nonzero number divided by itself is one.

13/13 = 1:

x = (-104)/13

Hint: | Reduce (-104)/13 to lowest terms. Start by finding the GCD of -104 and 13.

The gcd of -104 and 13 is 13, so (-104)/13 = (13 (-8))/(13×1) = 13/13×-8 = -8:

Answer: x = -8

5 0
3 years ago
Suppose the size of a population of mustard plants is 6,000. According to genetic drift theory, what is the probability that a n
andre [41]

Answer:

1/12,000

Step-by-step explanation:

Data provided in the question:

Size of a population of mustard plants = 6,000

Now,

According to genetic drift theory

The probability that a newly-arisen mutation will become fixed is given using the formula

⇒ 1 ÷ [ 2 × Size of a population of mustard plants ]

⇒ 1 ÷ [ 2 ×6,000 ]

⇒ [ 1 ÷ 12,000 ]

Hence,

probability that a newly-arisen mutation will become fixed in this population is 1/12,000

3 0
3 years ago
Find the value <br> of x so that the quadrilateral is a parallelogram.
Lelu [443]

Answer:

46

Step-by-step explanation:

It must be the same as the angle opposite of it.

You can see that 134 and 134 are the same, so the other two corners need to be the same and be 46 and 46.

8 0
3 years ago
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