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exis [7]
3 years ago
11

What is the width of the base of the hexagon?​

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0

[] Answer []

\boxed{Width \ of \ base \ = \ 5 \ Units}

[] Explanation []

The top of the figure it split into two parts.

Part One - 3 Units

Part Two - 2 Units

When these two units are combined, we can know the width of the base.

3 + 2 = 5

The width of the base of the figure is 5 units wide

\boxed{[] \ Eclipsed \ []}

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The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate o
kaheart [24]

Answer:

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

Step-by-step explanation:

We have the population's standard deviation, so we can find the normal confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{3.8}{\sqrt{49}} = 1.064

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons

The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

4 0
3 years ago
Dustin bought 3 shirts and a belt. Each shirt cost the same amount of money, and the belt cost $22.50. If the total amount Dusti
Dvinal [7]
3x+22.5 = 69.75
    -22.5    -22.5

3x = 47.25
 /3       /3

x = 15.75

The price of each shirt before tax is $15.75
8 0
4 years ago
The Gateway Arch in St.Louis,Missouri, weight about 20,000 tons. Write an amount that could be the exact number of tons the Arch
Anestetic [448]
The gateway arch could be 20,332 tons. this number still rounds to 20,000
8 0
4 years ago
Find the probability that when a couple has ​children, at least one of them is a . ​(Assume that boys and girls are equally​ lik
lora16 [44]

Answer:

P(At\ least\ one\ girl) = 0.875

Step-by-step explanation:

Given

n = 3

B \to boys

G \to girls

P(G) = P(B) = 0.5 --- equal probability

<em>See comment for complete question</em>

Required:

P(At\ least\ one\ girl)

To do this, we make use of complement rule:

P(At\ least\ one\ girl) = 1 - P(No\ girl)

The event that there is no girl out of the 3 children is: B B B

And the probability is:

P(No\ Girl) = P(B) * P(B) * P(B)

P(No\ Girl) = 0.5*0.5*0.5

P(No\ Girl) = 0.125

So:

P(At\ least\ one\ girl) = 1 - P(No\ girl)

P(At\ least\ one\ girl) = 1 - 0.125

P(At\ least\ one\ girl) = 0.875

4 0
3 years ago
A 100-gram sample of a radioactive isotope decays at a rate of 6% every week. How much of the sample will be left one year from
Dvinal [7]

4 grams sample will be left after 1 year

Step-by-step explanation:

The decay function for percentage decay is given by:

y =a (1-r)^x

Here,

a is the initial value

r is the rate

x is the number of time periods

Given

Initial value = 100 grams

Rate = 6% = 0.06

Time = 1 year = 52 weeks

Putting the values in the formula

y = 100 (1-0.06)^{52}\\y = 100(0.94)^{52}\\y = 4.00\ grams

Hence,

4 grams sample will be left after 1 year

Keywords: Decay, percentage

Learn more about decay functions at:

  • brainly.com/question/103144
  • brainly.com/question/10382470

#LearnwithBrainly

7 0
3 years ago
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