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liberstina [14]

3 years ago

13

At a local drive-thru restaurant, 4 out of every 10 drinks sold are diet drinks. If the restaurant sells 4,380 drinks in one mon

th, how many would be diet drinks?

1 answer:

liberstina [14]3 years ago

4 0

Answer:

1752

Hope this Helps!

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Determine the equation of the circle graphed below. <br><br> ( please help me )

Brums [2.3K]

Answer:

$Equation : \\(x+3)^2 + ( y -2)^2 = 36$

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: <em><u>Find the centre</u></em>

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

$Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) = (-3, 2)$

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : <u>Find radius</u>

<u></u> $Radius = \frac{Diameter }{2}$ <u></u>

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

$Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\$

$= \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12$

Therefore ,

$Radius = \frac{12}{2} = 6$

Step 3 : <u>Equation of the circle</u>

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

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

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

$(x - (-3))^2 + (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36$

5 0

2 years ago

X -5 -4 -3 -2 -1 0 1 2 3 f(x) -11 -3 5 13 21 29 37 45 53 (a) Determine the difference of outputs of any two inputs that are 1 un

alex41 [277]

A) I use x=-5; f(x)=-11 and x=-4; f(x)=-3. We get the range = -3-(-11)=8b)I use x=-5; f(x)=-11 and x=-3; f(x)=5. We get the range = 5-(-11)=16c)I use x=-5; f(x)=-11 and x=-2; f(x)=13. We get the range = 13-(-11)=24d) Range of input is equal with the ratios of the output. You can find the pattern of output above 8,16,and 24 can divided by 8 and give the result 1,2 and 3
Is that good for you?
Good Luck!
<3

5 0

2 years ago

3/4 of a number increased by 1/2 is equal to 14. <br> find the number

PIT_PIT [208]

Answer:

21

Step-by-step explanation:

14*2=28

28(3/4)=21

21/(3/4)=28

28/2=14

6 0

2 years ago

Read 2 more answers

According to a study conducted in one city, 25% of adults in the city have credit card debts of more than $2000. A simple ran

Anvisha [2.4K]

Answer:

The sampling distribution of $\hat p$ is <em>N</em> (0.25, 0.0354²).

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Let <em>p</em> = proportion of adults in the city having credit card debts of more than $2000.

It is provided that the proportion of adults in the city having credit card debts of more than $2000 is, <em>p</em> = 0.25.

A random sample of size <em>n</em> = 150 is selected from the city.

Since <em>n</em> = 150 > 30 the Central limit theorem can be used to approximate the distribution of <em>p</em> by the Normal distribution.

The mean is:

$\mu_{\hat p}=p=0.25$

The standard deviation is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.25(1-0.25)}{150}}=0.0354$

Thus, the sampling distribution of $\hat p$ is <em>N</em> (0.25, 0.0354²).

3 0

3 years ago

Without a calculator, order the following expressions from least to greatest. 9, pie squared, 3 times pie??

Elden [556K]

We have 9, 9.86, 9.42
So in order from least to greatest it would be: 9, 3 times pi, pi squared

5 0

2 years ago