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2 years ago

What is the midpoint of the segment shown below?

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

8 0

A. (5/2,7/2)

When you look at the graph, giving a rough estimation, 5/2 is 2 1/2 and 7/2 is 3 1/2. The x and y can fit as the midpoint:)

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I need help! ASAP!! please and thank you

Neko [114]

Answer: The walking path around it.

Step-by-step explanation:

Remember the Pythagorean's theorem, for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

H = √(A^2 + B^2)

Here, A + B is the total distance for the path, while the hypotenuse is the distance for the bridge

Here we can see that:

A = 1170 ft

B = 520 ft

Then:

H = √( (520 ft)^2 + (1170 ft)^2) = 1280.4 ft

Now, let's compute the costs.

For the bridge, we know that each foot costs $11, then for 1280.4 ft the cost is:

Cost of the bridge = (1280.4)*$11 = $14,084.4

And for the walking path, the cost is $6 per foot, then the total cost of the path is:

Cost of the path = (520 ft + 1170 ft)*$6 = $10,140

We know that the bridge is preferred if it is within the range of $1500 for the path's cost.

This range is:

($10,140 - $1,500, $10,140 + $1,500) = ($8,640, $11,640)

Here we can see that the cost of the bridge does not belong to this range, (is higher) so the option we should recommend is the walking path around.

8 0

3 years ago

Help me 3x+1/10=x-1/7 ok so I understand that I'm supposed to cross multiply so 1 x 10=10 7x3=21 so now do i do 21x-7? please He

koban [17]

Simplify both sides of the equation

3x+1/10 = x+ -1/7

Subtract x from both sides

3x+1/10 -x = x+ -1/7 -x

2x+1/10 = -1/7

Subtract 1/10 from both sides

2x+1/10 - 1/10 = -1/7 -1/10

2x= -17/70

Divide both sides by 2

2x/2 = -17/70/2

x= -17/140

decimal x will equal -0.121

Ask any questions you want and I hope that's help !

8 0

3 years ago

Find the value of x.

Mamont248 [21]

Honestly no idea... sorry

5 0

3 years ago

In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in

tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.35$ estimated proportion (value assumed)

$p$ true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: