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dexar [7]
1 year ago
12

5. The balance on a $6000 loan is reduced by each monthly payment. If the payment is $250 per month, the formula for figuring th

e balance is: balance = 6000 - 250m, where m is the number of months. Which of the following is the graph of that formula?

Mathematics
1 answer:
VikaD [51]1 year ago
4 0
\text{The graph is number 2, because the amount is reducing every month }

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In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:
Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that n = 1289.

Of the respondents, 436 replied that America is doing about the right amount. This means that \pi = \frac{436}{1289} = 0.3382.

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. ​

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364

The 95% confidence interval is:

B (0.312, 0.364)

5 0
3 years ago
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie
vagabundo [1.1K]

Answer:

About 0.71 of the field

7 0
2 years ago
Write the interval (5,100] as an inequality and using set notation
drek231 [11]

Answer: { x | 5 < x ≤ 100 }  OR  { x ∈ ℝ | 5 < x ≤ 100 }

Step-by-step explanation:

{ x | 5 < x ≤ 100 }

This means:

"The set of all x's, such that x is greater than 5 and less than or equal to 100"

Another acceptable way to write this is

{ x ∈ ℝ | 5 < x ≤ 100 }

"x ∈ ℝ" simply means x is an element of all real numbers

7 0
3 years ago
Simplify the expressions and evaluate for (i) y = -2, (ii) y = 3.<br> 3y (2y-7) - 3 (y - 4) - 63
Diano4ka-milaya [45]

Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is  -69.

Step-by-step explanation:

  • Step 1: Given expression is 3y(2y-7) - 3(y - 4) - 63. Simplify it.

⇒ 6y² - 21y - 3y + 12 - 63

⇒ 6y² - 24y - 51

  • Step 2: Find value of the expression for y = -2

⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21

  • Step 3: Find value of the expression for y = 3

⇒ ⇒ 6y² - 24y - 51 = 6(3)² - 24(3) - 51 = 54 - 72 - 51 = -69

8 0
3 years ago
13,406,109 pennis into dollars
geniusboy [140]

Answer:

$134,061.09

Step-by-step explanation:

hope this helps

4 0
3 years ago
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