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3 years ago

Dion went out to lunch. The bill, including tax, was $30. Dion left a tip of $6. What percent of the bill did Dion leave as tip?

1 answer:

4 0

Sorry about my first answer then it would 20% because if you take 30 and divide 20% you'll get 6 so again sorry I was wrong 20 percent though is right.

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Write an equation for a circle with a diameter that has endpoints at (–10, 1) and (–8, 5). Round to the nearest tenth if necessa

satela [25.4K]

The standard form for the equation of a circle is :

(x−h)^2+(y−k)^2=r2 ----------- EQ(1)
 where handk are the x and y coordinates of the center of the circle and r is the radius.
 The center of the circle is the midpoint of the diameter.

So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :

((−10+(−8))/2,(1+5)/2)=(−9,3)

So the point (−9,3) is the center of the circle.

Now, use the distance formula to find the radius of the circle:

r^2=(−10−(−9))^2+(1−3)^2=1+4=5

⇒r=√5

Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :

(x+9)^2+(y−3)^2=5

7 0

3 years ago

An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted t

7nadin3 [17]

Answer:

The test statistics is $t = -1.7$

The Null and Alternative hypothesis are

$H_o : \mu = 47.2$ and $H_a : \mu \ne 47.2$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 47.2 miles/gallon(MPG)$

The sample size is $n = 250 \ van$

The sample mean is $\= x = 47.0$

The sample standard deviation is $\sigma = 1.9$

The level of significance is $\alpha = 0.02$

Given that the value which the manufacturer gave the automobile is 47.2 and it is believed that this is not correct, then

The Null Hypothesis is

$H_o : \mu = 47.2$

The alternative Hypothesis is

$H_a : \mu \ne 47.2$

The test statistics can be mathematically evaluated as

$t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }$

$t = -1.7$

7 0

3 years ago

Given the graph, find an equation for the parabola.

Sauron [17]

Answer:

$\Large \boxed{\sf \bf \ \ y=\dfrac{1}{16}(a-3)^2-2 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

When the parabola equation is like

$y=a(x-h)^2+k$

The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))

As the vertex is (3,-2) we can say that h = 3 and k = -2.

We need to find a.

The focus is (3,2) so we can say.

$2=-2+\dfrac{1}{4a}\\\\\text{*** We add 2. ***}\\\\\dfrac{1}{4a}=2+2=4\\\\\text{*** We multiply by 4a. ***}\\\\16a=1\\\\\text{*** We divide by 16. ***}\\\\a=\dfrac{1}{16}$

So an equation for the parabola is.

$\large \boxed{\sf y=\dfrac{1}{16}(a-3)^2-2 }$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

3 years ago

BD is the perpendicular bisector of triangle ABC , and BD is a shared side of triangle ABD and triangle CBD . Which of the follo

mel-nik [20]

Answer:

Option D is correct answer AD and CD are congruent

Step-by-step explanation:

because BD is bisector of AC

so AD = CD

5 0

3 years ago

Which shows a way to take apart 9? 9-1= 1 10-8=2 10-2=8 9+1=10

statuscvo [17]

Youncant because it is not an even number

7 0

3 years ago