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Damm [24]
2 years ago
5

The button on Madelyn's jacket has a radius of 4 millimeters. What is the button's circumference?

Mathematics
1 answer:
BigorU [14]2 years ago
8 0

Answer:

The circumference would be 25.12 mm

Step-by-step explanation:

c = 2\pi r

c = 6.28 \times 4

c = 25.12

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viktelen [127]

Answer:

See explanation.

Step-by-step explanation:

  1. A terminating decimal is a decimal that has an end.
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2 years ago
Will mark brainliest, what are the missing numbers?
Delvig [45]

Answer:

117

Step-by-step explanation:

Got it from calucaltor and did it to make sure

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2 years ago
Read 2 more answers
Please find the value of x in the figure
notka56 [123]

Answer:

Step-by-step explanation:

E is the midpoint of Ac & D is the midpoint of AB

DE = (1/2)BC        {Midpoint theorem}

x +1 = \dfrac{1}{2}(4x - 6)\\\\\\&#10;Multiply \ the \ whole \ equation \  by 2\\\\&#10;2*(x+1) =2*\dfrac{1}{2}*(4x - 6)

2*x + 2*1 = 4x - 6

2x + 2 = 4x - 6

Add 6 to both sides

2x + 2 + 6 = 4x

2x + 8 = 4x

Subtract 2x from both sides

8 = 4x - 2x

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8 0
2 years ago
A certain test preparation course is designed to help students improve their scores on the USMLE exam. A mock exam is given at t
e-lub [12.9K]

Answer:

17.67-2.92\frac{2.517}{\sqrt{3}}=13.427    

17.67+2.92\frac{2.517}{\sqrt{3}}=21.913    

So on this case the 90% confidence interval would be given by (13.427;21.913)    

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample 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 t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=17.67

The sample deviation calculated s=2.517

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

df=n-1=3-1=2

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(0.05,2)".And we see that t_{\alpha/2}=2.92

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

17.67-2.92\frac{2.517}{\sqrt{3}}=13.427    

17.67+2.92\frac{2.517}{\sqrt{3}}=21.913    

So on this case the 90% confidence interval would be given by (13.427;21.913)    

6 0
2 years ago
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