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ladessa [460]
3 years ago
10

Tory and her friend Terrence ride their bikes to school each day. On one particular day, Tory started out 5 minutes before Terre

nce. Tory rides at a rate of 880 feet per minute and Terrence rides at a rate of 1.056 feet per minut
How long had Tory been riding when Terrence caught up with her?
Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0

Answer:

4:30 minutes im thinking

Step-by-step explanation:

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Peyton says the sum of two numbers can never be zero. Explain why Peyton's reasoning is incorrect. Use an example.
Elena-2011 [213]

Answer:

Well, there can be negative numbers added to their positive opposite.

Step-by-step explanation:

For example, -3 + 3 = 0

or you could 0 + 0 = 0

4 0
2 years ago
Jada can bake 12 cookies in 30 minutes. A this rate, how long will it take her to bake 144 cookies?
Elodia [21]
6 hours

Working;
If 12 cookies take 30 minutes,
Then one cookie takes \frac{30}{12}

144 cookies would take <span>\frac{30}{12} * 144
=360 minutes or 6 hours</span>
3 0
3 years ago
Charlotte has 85 stickers. Her brother has x times more stickers than her. Write
sergiy2304 [10]

Step-by-step explanation:

Her brother has 85 * x stickers.

8 0
2 years ago
Midge arranges her Collection of 762 seashells into trays with 8 shells in each tray. Find the number of trays she needs.
lana [24]

Answer:

96 trays

Step-by-step explanation:

762 shells divided into 8 shells in each tray equals 95.25 but you cant have 95.25 trays so it'd be 96.

3 0
2 years ago
When consumers apply for credit, their credit is rated using FICO (Fair, Isaac, and Company) scores. Credit ratings are given be
Flura [38]

Answer:

a) The 99% confidence interval would be given by (589.588;731.038)

b) If we see the confidence interval the 620 is included on the interval we don't have enough evidence to reject the rating is 620. But since we need a score that at least 620 and our lower limit is 589.588 we cant conclude that all the clients would have a score that at least of 620.  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The data is:

661 595 548 730 791 678 672 491 492 583 762 624 769 729 734 706

Part a

Compute the sample mean and sample standard deviation.  

In order to calculate the mean and the sample deviation we need to have on mind the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n}  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}  

=AVERAGE(661, 595, 548, 730, 791, 678, 672, 491 ,492, 583, 762 ,624 ,769, 729, 734, 706)

On this case the average is \bar X= 660.313

=STDEV.S(661, 595, 548, 730, 791, 678, 672, 491 ,492, 583, 762 ,624 ,769, 729, 734, 706)

The sample standard deviation obtained was s=95.898

Find the critical value t* Use the formula for a CI to find upper and lower endpoints

In order to find the critical value we need to take in count that our sample size n =16<30 and on this case we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. The degrees of freedom are given by:

df=n-1=16-1=15

We can find the critical values in excel using the following formulas:

"=T.INV(0.005,15)" for t_{\alpha/2}=-2.95

"=T.INV(1-0.005,15)" for t_{1-\alpha/2}=2.95

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}  

And if we find the limits we got:

660.313- 2.95\frac{95.898}{\sqrt{16}}=589.588  

[tex]660.313+ 2.95\frac{95.898}{\sqrt{16}}=731.038/tex]  

So the 99% confidence interval would be given by (589.588;731.038)

Part b

If we see the confidence interval the 620 is included on the interval we don't have enough evidence to reject the rating is 620. But since we need a score that at least 620 and our lower limit is 589.588 we cant conclude that all the clients would have a score that at least of 620.  

4 0
2 years ago
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