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Oxana [17]
3 years ago
10

Ryan completed 1/8 of his test in 2/5 hour. If Ryan’s rate stayed the same, how much of his test was finished in one hour

Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer:

5/16

Step-by-step explanation:

In 5/2 the time, we expect that 5/2 × 1/8 = 5/16 of the test will be complete.

_____

5/2 × (2/5 h) = 1 h

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A student's pay of $18 an hour is $4 more than twice the amount the student earns per hour at an internship. Enter and solve an
Natasha2012 [34]
1. You have that a<span> student's pay of $18 an hour </span>is <span>$4 more than twice the amount the student earns per hour at an internship.

 2. So, let's call the </span><span>hourly pay of the internship: "x". Then, you have:
</span><span>
 18=2x+4

 3. When you clear the variable "x", you obtain:

 18-4=2x
 14=2x
 x=14/2
 x=$7

 Therefore, the answer is: T</span><span>he hourly pay of the internship is $7.</span>
4 0
3 years ago
8(b+1)=-3(2+b) simply​
gogolik [260]

Step-by-step explanation:

8(b+1)=-3(2+b)

8b+8=-6-3b

8b +3b = -6-8

11b = -14

b = -14/11

8 0
3 years ago
$1, 000 after 2 years at an interest rate of 3.0% is $ round up to the nearest cent
BaLLatris [955]
This may be a simple interest computation.

Simple Interest = Principal * interest rate * term

Principal = 1,000
interest rate = 3%
term = 2 years

Simple Interest = 1,000 * 0.03 * 2
Simple Interest = 60

Total Amount after 2 years: 1,000 + 60 = 1,060


5 0
3 years ago
Flow meters are installed in urban sewer systems to measure the flows through the pipes. In dry weatherconditions (no rain) the
ziro4ka [17]

Answer:

a) \frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}

363.90 \leq \sigma^2 \leq 4430.80

Now we just take square root on both sides of the interval and we got:

19.08 \leq \sigma \leq 66.56

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}&#10;And in order to find the sample mean we just need to use this formula:&#10;[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

The Confidence interval is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and the critical values are:

\chi^2_{\alpha/2}=20.09

\chi^2_{1- \alpha/2}=1.65

And replacing into the formula for the interval we got:

\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}

363.90 \leq \sigma^2 \leq 4430.80

Now we just take square root on both sides of the interval and we got:

19.08 \leq \sigma \leq 66.56

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

4 0
3 years ago
This is Adele’s solution for the equation.
Mkey [24]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: She messed up in Step 1

She first should of tried to factor it first. There she can see that 3 and -11 work together in order to get (x+3)(x-11)

x= -3 and x=11

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

5 0
3 years ago
Read 2 more answers
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