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vovikov84 [41]
3 years ago
11

Happy Hound charged $18 for 2 hours of doggie daycare and $45 for 5 hours. What is the unit rate? Show your work.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

Answer:

18/2 = 9

45/5= 9

9=9

9= unit rate

$9 per hour

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Evaluate 3x+6y when x= -3, y=6
sesenic [268]

Hey there!!!

Given equation - 3x+6y

x is given as -3

y is given as 6

Plugin these values to get the final answer

3 ( -3 ) + 6 ( 6 )

-9 + 36

= 27

27 is the final and the required answer

Hope my answer helps!

3 0
3 years ago
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X= ?? geometry ??? And how ????
steposvetlana [31]

Using the equations for tangent and secant lines:

Let the unknown length of the line inside the circle = y

6^2 = 3 x (y+3)

Simplify:

36 = 3y+9

Subtract 9 from both sides:

27 =3y

Divide both sides by 3:

Y = 9

Now add to get x:

X = 9 + 3 = 12

X = 12

8 0
3 years ago
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people.
NISA [10]

Answer:

8.2-2.58\frac{2.2}{\sqrt{18}}=6.86    

8.2+2.58\frac{2.2}{\sqrt{18}}=9.54    

So on this case the 90% confidence interval would be given by (6.86;9.54)    And the error is given by:

ME= 2.58\frac{2.2}{\sqrt{18}} =1.338

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=8.2 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=2.2 represent the population standard deviation

n represent the sample size  

Solution to the problem

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

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

8.2-2.58\frac{2.2}{\sqrt{18}}=6.86    

8.2+2.58\frac{2.2}{\sqrt{18}}=9.54    

So on this case the 90% confidence interval would be given by (6.86;9.54)    And the error is given by:

ME= 2.58\frac{2.2}{\sqrt{18}} =1.338

8 0
3 years ago
Read 2 more answers
Identify the property that justifies step 1 when solving the equation
Ierofanga [76]

Answer:

Distributive Property

Step-by-step explanation:

Answer choice a is correct because you are distributing 2 to each term in the parentheses.  When you multiply 2 to each factor in the parentheses, it simplifies to 2x-2, thus making the new equation 6x+2x-2=30

3 0
3 years ago
Each morning Daniel runs 5 miles in 45 minutes. If he keeps the same pace, how will it take him to run 8.5 miles?
Alex73 [517]

Answer:

Approximately 57 minutes.

Step-by-step explanation:

5 ÷ 45 = 1/9

1/9 · 8.5 = 17/18

An hour = 60 mins so

60 ÷ 18 = 10/3

10/3 · 17 = 56.6666667

also known as 56.67 minutes if rounded to hundreds, 56.7 minutes if rounded to the tenths, and 57 minutes if rounded to a whole number.

4 0
3 years ago
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