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3 years ago

7

Joe has a savings account and a credit card. He has $422 saved in his savings account and has purchased $484 worth of merchandis

e on his credit card. Use positive and negative numbers to explain the sitiuation. Is Joe's overall balance represented by a positive or negative number? Justify your answer.

2 answers:

Sedbober [7]3 years ago

7 0

Because Joe only has $422 on his credit card, his account with be overdrawn by $62. which means, Joe's account will go into the negative balance until he's able to pay the bank back the $62.

valentina_108 [34]3 years ago

6 0

Joe has +$422 in his savings account and credit card. she then purchased something that was 484 which caused joe to go bankrupt and he jumped from +$422 to -$62.

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

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 level of $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

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

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

7 0

2 years ago

Read 2 more answers

A traffic helicopter descends 167 meters to be 349 meters above the ground, as illustrated in the diagram to the right. Write an

morpeh [17]

Answer:

so ......when you write the equation for this question,

the original height (H) = current height + the decreased height

i.e.

H= 347m + 182m

H = 529 m

so the original height of the helicopter is 529 meters

Step-by-step explanation:

7 0

2 years ago

Factorise 9w² - 100<br><br><br>

ohaa [14]

Answer:

$9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10)$ .

Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

In this question, the expression $(9\, w^{2} - 100)$ is the difference between two terms: $9\, w^{2}$ and $100$ .

$9\, w^{2}$ is the square of $3\, w$ . That is: $(3\, w)^{2} = 9\, w^{2}$ .
On the other hand, $10^{2} = 100$ .

Hence:

$9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}$ .

Apply the fact that $a^{2} - b^{2} = (a - b) \, (a + b)$ to factorize this expression. (In this case, $a = 3\, w$ whereas $b = 10$ .)

$\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}$ .

8 0

2 years ago

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disa [49]

Answer:

The answer is 3,906.25

Step-by-step explanation:

All you have to do is divide 15,625 by 4! :)

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2 years ago

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mixer [17]

Well first, you need to solve within the parentheses. You would get 23.8 - 14 - 8.6

Then you would subtract them in order, and your answer would be 1.2

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2 years ago