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3 years ago

Lena's guest house is 15 m long and 12 m wide. How long is the diagonal of the house?

2 answers:

8 0

Imagine the diagonal of a rectangle being the split between two triangles. you are trying to find the longest side of the triangle, which is the "diagonal" of the rectangle.

to find the length of a side of a triangle, use the Pythagorean theorem. it is : a^2 + b^2 = c^2

so... plug in your data like this...

15^2 + 12^2= c^2.

225 + 144 = the square root of 369.

that is rounded to 19.2

this is just how I would solve this problem, if I helped you out please just let me know by voting me brainliest! :)

Nezavi [6.7K]3 years ago

5 0

Assuming that the legnths given ae th sides o the room and th room is a recagnel

the diagonal makes 2 right triangles
pythagorean theorem
a^2+b^2=c^2
a and b are legs
c=hypotonuse

in this case
legnth and width are te legs and the diagonal is the hyptonuse

15^2+12^2=c^2
225+144=c^2
369=c^2
square root both sides
3√41ft=c

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3 years ago

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46.75

Step-by-step explanation:

6+2 1/2 times 5 1/2 = 46.75

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3 years ago

My locker combination has three digits. None of the digits are 0. What is the probability that the first digit of my locker comb

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Step-by-step explanation:

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2 years ago

The operations manager at a compact fluorescent light bulb (CFL) factory needs to estimate the mean life of a large shipment of

aliya0001 [1]

Answer:

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

Step-by-step explanation:

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 $z = 1.95$

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.

$M = 1.96*\frac{1000}{\sqrt{64}} = 245$

The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.

The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

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3 years ago

“Two lines which are parallel must have positive slopes”. Explain why you believe this is true or false

shutvik [7]

Answer: This is false.

Step-by-step explanation:

A linear equation is an equation of the shape.

y = ax + b

where a is the slope, and b is the y-axis intercept.

Two different linear equations are parallel if their slopes are the same, in this case b will define the distance between our two parallel lines.

We do not have any implication on the sign of a, but let's prove this:

Two lines f and g are parallel if there does not exist a value x1 such:

f(x1) = g(x

suppose that f(x) = -ax + b

g(x) = -ax + c

where b and c are different numbers (because if b and c are equal, we have that g(x) and f(x) represent the same line)

Now suppose that x1 exists, let's prove that this is absurd.

f(x1) = -ax1 + b = -ax1 + c = g(x1)

b = c

this is absurd, then x1 does not exist and f(x) and g(x) are parallel.

So you can see that the sign of the slope does not matter.

Then the statement is false

5 0

3 years ago