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faust18 [17]
2 years ago
11

Mariana receives a $20 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded s

ong costs $1.29. If m represents the number of songs downloaded, which inequality represents the given situation?
Mathematics
2 answers:
cestrela7 [59]2 years ago
7 0

Answer:

1.29m\leq 20 is the required inequality

Step-by-step explanation:

Let the number of songs = m.

The cost of downloading 1 songs = $1.29

So, the cost of downloading 'm' songs = 1.29m dollars

Since, the maximum amount she can spend on downloading songs is $20.

So, we get the inequality, 1.29m\leq 20

Hence, the inequality representing the situation is 1.29m\leq 20.

Mama L [17]2 years ago
6 0
1.29m must be < or = to 20.
Therefore, m should equal about 15 songs. 
1.29(20) = 19.35
19.35<20
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Answer:

c. modus ponens

Explanation:

In propositional logic, we learn that <em>modus ponens</em> is a valid argument and a rule of inference. <em>Modus ponens</em> states that "P implies Q, and if P is true, then Q must be true."

Based on these propositions, we learn that all food that is healthy does not taste good, and tofu is healthy. Therefore,

<em>If all food that is healthy does not taste good,</em>

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1 year ago
The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT
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Answer:

H_{0}: \mu = 500\text{ GMAT score}\\H_A: \mu < 500\text{ GMAT score}

Step-by-step explanation:

We are given the following in the question:  

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Sample size, n = 250

Alpha, α = 0.05

Population standard deviation, σ = 120

The mean GMAT score for all test takers is 550.

The researcher believes that the mean scores in the Philippines who are interested in pursuing graduate management education will be less than 550.

We design the null and the alternate hypothesis

in the following manner:

H_{0}: \mu = 500\text{ GMAT score}\\H_A: \mu < 500\text{ GMAT score}

The null hypothesis states that the sample is taken from the population and have a mean score of 550, while the alternate hypothesis states the researcher's claim that the sample of Philippines does not belong to the population and have mean score less than 550.

4 0
2 years ago
David made a class banner out of a large rectangular piece of paper. He cut a
Irina18 [472]

Answer:

100 in²

Step-by-step explanation:

The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.

The rectangle has a height of 8 inches and width of 14 inches, so its area is:

A = (8 in) (14 in) = 112 in²

The triangle has a base of 8 inches and a height of 3 inches, so its area is:

A = ½ (8 in) (3 in) = 12 in²

So the area of the banner is 112 in² − 12 in² = 100 in².

6 0
2 years ago
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Answer:b)0.8577

Step-by-step explanation:

Since the heights of men are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

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s = standard deviation

From the information given,

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7 0
2 years ago
This relationship is given by the equation, v = gt. In this equation, g is the acceleration due to gravity, t is the number of s
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v=gt,

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4 0
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