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mixas84 [53]
3 years ago
12

John's recipe makes 24 chocolate chip cookies per batch. If he makes x batches and gives y cookies to each of his 6 friends, wri

te an expression for the number of cookies John has left.
Mathematics
1 answer:
kifflom [539]3 years ago
8 0

Answer:

24x - 6y = Cookies John has left

Step-by-step explanation:

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levacccp [35]
53,000,000,000 that's ur anwser
3 0
3 years ago
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Select the conic section that represents the equation. y2 = 10x circle ellipse parabola hyperbola
Makovka662 [10]

The conic that represents the equation y² = 10x is a parabola

Step-by-step explanation:

The general equation for any conic section is

Ax² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E and F are

constants

1. If B² - 4AC < 0, if a conic exists, it will be either a circle or an ellipse,

   if A and C are equal then it is a circle, if not then it is an ellipse

2. If B² - 4AC = 0, if a conic exists, it will be a parabola

3. If B² - 4AC > 0, if a conic exists, it will be a hyperbola

∵ The equation is y² = 10x

- Subtract 10x from both sides

∴ y² - 10x = 0

∴ A = 0 , B = 0 , C = 1 , D = -10 , E = 0 and F = 0

∵ B² - 4AC = (0)² - 4(0)(1) = 0

∴ B² - 4AC = 0

∴ The conic is parabola

The conic that represents the equation y² = 10x is a parabola

Learn more:

You can learn more about discriminant in brainly.com/question/8196933

#LearnwithBrainly

6 0
3 years ago
Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Consider the
Dafna1 [17]

Answer:

a) \bar d= \frac{\sum_{i=1}^n d_i}{n}=72.2  

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =9.311  

b) The 90% confidence interval would be given by (63.330;81.070)

63.330 < \mu_{left}- \mu_{right}  

Step-by-step explanation:

1) Previous concepts  and notation

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".

Let put some notation  

x=left arm , y = right arm  

x: 175 169 182 146 144  

y: 102 101 94 79 79

The first step is define the difference d_i=x_i-y_i, that is given so we have:

d:  73, 68, 88, 67, 65

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=72.2  

The third step would be calculate the standard deviation for the differences, and we got:  

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}} =9.311  

2) Confidence interval

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

\bar d \pm t_{\alpha/2}\frac{s_d}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=5-1=4  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that t_{\alpha/2}=2.13  

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

72.2-2.13\frac{9.311}{\sqrt{5}}=63.330  

72.2+2.13\frac{9.311}{\sqrt{5}}=81.070  

So on this case the 90% confidence interval would be given by (63.330;81.070)

63.330 < \mu_{left}- \mu_{right}  

3 0
3 years ago
I need help with number 2 and 3 I can't get this wrong and explain !!!!
mr_godi [17]
Because on number two there is a right angle and a part of it is 66 you subtract 66 from 90 and then divide that by 31 and subtract 7. Hope that helped a little 
7 0
3 years ago
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PLEASE HELP!! I will mark the brainliest if you can explain your answer!! I think it’s either b or c..... but I’m not sure!!! Pl
BARSIC [14]

Answer:

A(x) = 6.2 - 0.005x

Step-by-step explanation:

If you think about it, either 0.5/0.005 needs to be equal to 0.5%

0.5 is the same as 1/2 and therefore it is the same as 50%

So it must be 0.005!

Tip: I always just divide by 100 to get the decimal, it is a nice, easy and quick method

3 0
3 years ago
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