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Ghella [55]
4 years ago
9

The expression 100 + 20m, gives the volume of water in Eduardo's pool (in liters) after Eduardo spends m minutes filling his poo

l. What is the volume of water in Eduardo's pool after he fills it for 5 1\4 ​ 5, start fraction, 1, divided by, 4, end fraction minutes? liters
Mathematics
1 answer:
Fudgin [204]4 years ago
8 0

Answer:

205 litres

Step-by-step explanation:

The expression that gives the volume of water in Eduardo's pool (in liters) is:

100 + 20m

where m is time, in minutes

After 5\frac{1}{4} minutes (\frac{21}{4} minutes), the volume is will be:

100 + (20 * \frac{21}{4} )\\\\\\100 + (5 * 21)\\\\\\100 + 105

= 205 litres

The volume of water in the poll will be 205 litres.

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Divide (–15x5 – 16x4 + 84x3 – 17x2 – 9x – 15) by (x – 8/5) using synthetic division.
xz_007 [3.2K]
Synthetic division work with the coefficient of the given polynomial expression

We have 
-15    -16   84   -17   -9   -15

and the divisor is:
x - ⁸/₅ = 0
x = ⁸/₅

Refer to the diagram below for the steps of synthetic division

Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.

Repeat the steps until we use up all the remaining coefficients

The final values are the coefficients of the quotient and the last value is the reminder


6 0
3 years ago
A bucket is leaking.After 3hr the bucket has leaked 3/4 of an ounce.How many ounces per hour is the bucket leaking 3/4oz-3hr= 3/
777dan777 [17]

Answer: 1/4 ounces per hour

Step-by-step explanation:

In the 3 hours that the bucket has leaked, it has lost 3/4 ounces.

The rate at which it is leaking is therefore:

= 3/4 / 3

= 3/4 * 1/3

= 3/12

= 1/4 ounces per hour

5 0
3 years ago
Two brands of AAA batteries are tested in order to compare their voltage. The data summary can be found below.
garik1379 [7]

Answer:

The 95% confidence interval would be given by 0.281 \leq \mu_1 -\mu_2 \leq 0.529  

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".  

\bar X_1 =9.2 represent the sample mean 1

\bar X_2 =8.8 represent the sample mean 2

n1=27 represent the sample 1 size  

n2=30 represent the sample 2 size  

\sigma_1 =0.3 population standard deviation for sample 1

\sigma_2 =0.1 population standard deviation for sample 2

\mu_1 -\mu_2 parameter of interest.

Solution to the problem

The confidence interval for the difference of means is given by the following formula:  

(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2}} (1)  

The point of estimate for \mu_1 -\mu_2 is just given by:

\bar X_1 -\bar X_2 =9.2-8.8=0.4

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that t_{\alpha/2}=1.96  

Now we have everything in order to replace into formula (1):  

0.4-1.96\sqrt{\frac{0.3^2}{27}+\frac{0.1^2}{30}}=0.281  

0.4+1.96\sqrt{\frac{6^2}{36}+\frac{7^}{49}}=0.519  

So on this case the 95% confidence interval would be given by 0.281 \leq \mu_1 -\mu_2 \leq 0.529  

6 0
4 years ago
Help please help please help please
mestny [16]

Answer:

i wish i could help but im confused also

Step-by-step explanation:

...

4 0
3 years ago
Read 2 more answers
A local golf course charges members $35 an hour for the first four hours, $40 an hour for the next fou
Slav-nsk [51]

Answer:

Step-by-step explanation:

35x4 =140

40x4=160    +

----------------

300$ all together

Hope this helps

And don't forget to mark as brainliest

5 0
3 years ago
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