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lakkis [162]
3 years ago
7

Katie keeps a record of her transactions in a notebook. Looking over her records for the past two weeks, Katie finds that her ba

nk statement does not match her notebook, and she actually has more money than she thought she did. These are the relevant entries in Katie’s notebook:
Transaction
Debit ($)
Credit ($)
Beginning Balance

889.23
Fence repair
75.86
---
Dry cleaning
32.38
---
Paycheck
---
140.91
Gift from cousin
---
35.00
Car payment
178.66
---
Tax refund
---
66.18
New chair
161.55
---
Ending Balance

682.87

However, Katie’s bank statement says that her ending balance is $707.10. Which of the following is a possible explanation for the discrepancy?
a.
Katie’s neighbor paid for half of the fence repair, which Katie forgot to record.
b.
Katie transposed the digits in the cost of the dry cleaning, which actually cost $23.38.
c.
Katie’s new chair was on sale for 15% off, making it cost $137.32, but Katie wrote down the before-sale price.
d.
Katie’s tax refund came in two equal-sized checks, but Katie only recorded one of them.
Mathematics
2 answers:
aliina [53]3 years ago
7 0
The answer is C. <span>Katie’s new chair was on sale for 15% off, making it cost $137.32, but Katie wrote down the before-sale price.

By adding back the recorded price of the new chair </span>$161.55 to the balance $682.87, Katie gets $844.42. Subtracting the real cost of the chair which was $137.32, it yields $<span>707.10, which matches Katie's ending balance.
</span>
kodGreya [7K]3 years ago
4 0
<span>c is the correct answer</span><span />
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Zepler [3.9K]
If you're looking for where they intersect, then I think the answer is c
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What is the opposite of the number -2 1/3 ?
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The opposite of the number -2 1/3 is 2 1/3 because if you look at a number line you will see that -2 1/3 and 2 1/3 are on opposite sides of the line
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3 years ago
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Answer in factored form x^2+11x+7
KATRIN_1 [288]
X² <span>+ 11x + 7

because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:

(-b </span>± √((b)² - 4ac))/(2a)

in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))

not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2

and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:

(x - (-11 - √93)/2) and (x + (-11 - √93)/2)

they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:

(x + (11 + √93)/2) (x - (11 - √93)/2)

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7 0
3 years ago
A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found
irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

H_0: p = 0.04

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

H_a: p > 0.04

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that \mu = 0.04, \sigma = \sqrt{0.04*0.96}

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that n = 20, X = 0.1

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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P-value of the test and decision:

Considering an standard significance level of 0.05.

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Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

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Question 3: i’ll mark u brainliest
Alexeev081 [22]

Answer:

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Step-by-step explanation:

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6 0
2 years ago
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