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3 years ago

How do the height and the slant height of a pyramid differ?

1 answer:

7 0

So slant height is the length of a lateral face

imagine a pyramid was hollow.

the height is the distance from center of the bottom... to the point.

the slant height tho... imagine if u unfolded it and laid it out flat on the ground
the slant height is the distance from the point of a face to the middle of the bottom. so your splitting the face into 2 equal triangles... right down the middle. slant height is bigger... always

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Every evening, two weather stations issue weather forecast for the next day. The weather forecasts are independent. On average,

EleoNora [17]

Answer:

The probability is 0.6923

Step-by-step explanation:

Let's call R the event that the next day rains, S the event that the next day has sunny weather, R2 the event that the station 2 predicts rain and S1 the event that station 1 predict sunny weather.

The probability that the next day has sunny weather given that station 1 predicts sunny weather for the next day and station 2 predicts rain is calculated as:

P(S/S1∩R2) = P(S∩S1∩R2)/P(S1∩R2)

Where P(S1∩R2) = P(R∩S1∩R2) + P(S∩S1∩R2)

So, the probability P(R∩S1∩R2) that the next day rains, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(R∩S1∩R2) = 0.5 * 0.1 * 0.8 = 0.04

Because 0.5 is the probability that the next day rains, 0.1 is the probability that station 1 predicts sunny weather given that it is going to rain and 0.8 is the probability that station 2 predicts rain given that it is going to rain.

At the same way, the probability P(S∩S1∩R2) that the next day has sunny weather, Station 1 predicts sunny weather and Station 2 predicts Rain is calculate as:

P(S∩S1∩R2) = 0.5 * 0.9 * 0.2 = 0.09

Then, the probability P(S1∩R2) that station 1 predicts sunny weather for the next day, whereas station 2 predicts rain is:

P(S1∩R2) = 0.04 + 0.09 = 0.13

Finally, P(S/S1∩R2) is:

P(S/S1∩R2) = 0.09/0.13 = 0.6923

6 0

3 years ago

In (Triangle)QRS, <br> Please explain

egoroff_w [7]

Answer: Triangle QRS is an isosceles triangle because QR = RS.

. Step-by-step explanation: Find the length of each side of the triangle using the formula for calculating the distance between two points.

Step-by-step explanation:

7 0

3 years ago

If KM = NO and KM = PQ, then NO = PQ.

charle [14.2K]

The property shown is a B: substitution property, this is when you you the know that X=Y so X can be substituted in any equation with Y and Y can be substituted in any equation with X. hope this helps

8 0

3 years ago

Asap<br> Select the correct answer.<br> Which function has a restricted domain?

german

Step-by-step explanation:

Check second one

$\\ \rm\Rrightarrow k(x)=(-x+3)^{\frac{1}{2}}$

1/2 means square root

$\\ \rm\Rrightarrow \sqrt{(-x+3)}$

$\\ \rm\Rrightarrow -x+3>0$

$\\ \rm\Rrightarrow -x>-3$

$\\ \rm\Rrightarrow x$

Hence.

Domain is restricted

Option B is correct

8 0

3 years ago

A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fas

Vaselesa [24]

Answer: a) sample

b) quantitive.

Step-by-step explanation:

Given: A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fast food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week.

Here, population = "people who ate fast food two or more times per week"

Since a census is the data of all members in a population whereas a sample is a subset of it.

Then, 3000 people constitute a sample as it is a subset of the population.

Since the researcher's point of interest it to measure average weight gain which is a quantitive measure.

So, the data is quantitative.

8 0

3 years ago