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3 years ago

ASAP NEED ANSWERS :) PLEASEEEEEEEE

Mathematics

2 answers:

kolbaska11 [484]3 years ago

8 0

<h3>Answer: Choice A) </h3><h3>The circumference of one of the circles would be greater than the longer side of the rectangle</h3>

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Why this is the answer:

The rectangle has 3 circles packed inside it each with the same radius r. The diameter of each circle is 2r, so 3 of them result in a total rectangle length of 3*2r = 6r.

While one circle has a circumference of C = 2*pi*r = 2*3.14*r = 6.28r

Comparing 6.28r and 6r, we see that 6.28r is larger than 6r

6.28r > 6r

6.28 > 6 ... dividing both sides by r (the inequality sign doesn't change because r > 0)

This is true for any value of r.

Tpy6a [65]3 years ago

4 0

Answer:

C I think.

Step-by-step explanation:

You might be interested in

Solve for the positive value of x: 6x2 – 54 = 0

n200080 [17]

If you would like to solve for the positive value of x, you can do this using the following steps:

6 * x^2 - 54 = 0 /6
x^2 - 9 = 0
(x - 3) * (x + 3) = 0
1. x = 3
2. x = - 3

The correct result would be x = 3.

4 0

3 years ago

Please help, today's due. Maths lesson is postulate.

zhenek [66]

You need to put everything to one side and equal to 120. Then you combine all like terms.
then you subtract 24 with 120. You get 94/24=4

10x+6x+16+8x+8=120
24x+24=120
-24 -24
____________
24x=96
/24 /24
X=4

8 0

2 years ago

Binks needs to raise at least $3600. He was given $200 and plans to save $50 a week. Select all of the inequalities that represe

kherson [118]

Answer:

I'm pretty sure it is 50n+200 <u><</u> 3600

Step-by-step explanation:

Im to fully sure tho

5 0

3 years ago

If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

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".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: Confidence interval

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

$df=n-1=36-1=35$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ 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: "=-T.INV(0.005,35)".And we see that $t_{\alpha/2}=2.72$