Step-by-step explanation: Given that Danny has a triangular pyramid where all the four triangles are congruent. The height and base of one triangle are 6 inches and 5 inches respectively. We are to find the surface area of the pyramid.

The area of one triangle is given by

$A=\dfrac{1}{2}\times\textup{base}\times\textup{height}=\dfrac{1}{2}\times 5\times 6=15~\textup{sq. inches}.$

Since the pyramid consists of four congruent triangles, so the surface area of the pyramid will be

$S=4\times A=4\times 15=60~\textup{sq. inches}.$

Thus, the answer is 60 sq. inches.

8 0

3 years ago

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To see how costly it would be for other people to compete a similar cycling tour, you decide to work out two averages and compar

Damm [24]

Group A

Money spent by Person 1 = £500

Money spent by Person 2 = £600

Money spent by Person 3 = £900

Money spent by Person 4 = £450

Sum of money spent by group A = £2,450

Average money spent by group A = $\frac{2,450}{4}$

⇒ Average money spent by group A = £612.5

Group B

Money spent by Person 1 = £700

Money spent by Person 2 = £500

Money spent by Person 3 = £680

Money spent by Person 4 = £500

Sum of money spent by group B = £2,380

Average money spent by group B = $\frac{2,380}{4}$

⇒ Average money spent by group B = £595

Hence, Group B had lower average spend.

4 0

3 years ago

According to the empirical rule, if the data form a bell-shaped normal distribution, __________ of the observations will fall wi

Kaylis [27]

Answer:

95%

Step-by-step explanation:

The empirical rule states that if data follows normal distribution then the percentage of observations falls within one, two and three standard deviation around the mean are

i) 68% falls within one standard deviation

ii) 95% falls within two standard deviation

iii) 99.7% falls within three standard deviation.

Hence 95% of the observations will fall within two standard deviations around the mean if the data follows normal distribution.

5 0

3 years ago