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2 years ago

Which of the following represents 2x - 5y + 15 = 0 written in slope-intercept form? y = -x + 3 y = x - 3 y = x + 3

2 answers:

5 0

-5y = -2x - 15
5y = 2x + 15
y = (2/5)x + (15/5)
y = (2/5)x + 3

I would think that y = (2/5)x + 3 is the answer. However, that doesn't appear to be a choice...

Llana [10]2 years ago

4 0

Y=2/5x+3 is the answer
Hope it helped!

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Find the length of the longest line segment that can be drawn on a rectangular board 3.07m by 2.24m

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For rectangle
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b=2.24m
so longest side that can be drawn is diagonal of rectangular board
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2 years ago

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1 year ago

Direct Mailing Company sells computers and computer parts by mail. The company claims that more than 90% of all orders are maile

lys-0071 [83]

Answer:

We conclude that less than or equal to 90% of all orders are mailed within 72 hours after they are received which means the company's claim is not true.

Step-by-step explanation:

We are given that the company claims that more than 90% of all orders are mailed within 72 hours after they are received. The quality control department at the company often takes samples to check if this claim is valid.

A recently taken sample of 175 orders showed that 161 of them were mailed within 72 hours.

Let p = percentage of all orders that are mailed within 72 hours.

SO, Null Hypothesis, $H_0$ : p $\leq$ 90% {means that less than or equal to 90% of all orders are mailed within 72 hours after they are received}

Alternate Hypothesis, $H_A$ : p > 90% {means that more than 90% of all orders are mailed within 72 hours after they are received}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = proportion of orders that were mailed within 72 hours in a sample of 175 = $\frac{161}{175}\times 100$ = 92%

n = sample of orders = 175

So, test statistics = $\frac{0.92-0.90}{{\sqrt{\frac{0.92(1-0.92)}{175} } } } }$

= 0.975

The value of the test statistics is 0.975.

Now at 1% significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is less than the critical value of z as 0.975 < 2.3263, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that less than or equal to 90% of all orders are mailed within 72 hours after they are received which means the company's claim is not true.

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2 years ago

If the federal reserve decreases the reserve rate from 2.5% to 1.25% how does this affect the amount of money that would result

kirza4 [7]

The correct answer for this question is this one: "D it increases by $1,800,000"
If the federal reserve decreases the reserve rate from 2.5% to 1.25%, this affect the amount of money that would result because of fractional reserve banking from an initial deposit in a bank of $45,000 is that it increases by $1,800,000Hope this helps answer your question and have a nice day ahead.

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