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3 years ago

Please help! Thank you!!

Mathematics

1 answer:

fomenos3 years ago

8 0

To find out the surface area of a triangular pyramid you have to do 14 x 24 then divide by 2 which gives you 168 then you'll do 8 times 6.9 then divide by 2 which will give you 27.6 which when you add 168+27.6, you'll get 195.

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The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hour. Based on the graph, what

Evgen [1.6K]

The graph provides distance as a linear function of time.
The y-intercept is zero.

The line passes through (0,0) and (6,120).
Calculate the slope.
m = (120 - 0)/(6 - 0) = 20

The equation of the line is
d = 20t
where
t = time, hours
d = distance, miles

Therefore distance is the dependent variable.
When t = 24 hours, the distance is 20*24 = 480 miles.

Answers:
(a) Distance is the dependent variable
(b)The equation relating the two variables is
d = 20t
where
t = time, hours
d = distance, miles
(c) In 24 hours, the dragonfly will travel 480 miles.

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3 years ago

The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the earthquake. Determine the

8090 [49]

A) $R=0.65log(0.39E)+1.45

7.5=0.65log(0.39E)+1.45$

B) $6.05=0.65log(0.39E) Subtracted 1.45 from~ both~ sides~ of~ equation.

9.31=log(0.39E) Divided each side by 0.65. 

$

C) $9.31=log(0.39E)

10^(9.31)=0.39E

E=5.24*10^9 kilowatt hours$

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3 years ago

Hi!!! People have been giving out points all day and i thought i would have a turn!! (30 points) I’ll give the crown to whoever

bezimeni [28]

Answer:

hi, hope you are good!, hope you have the greatst holidays ever!

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A woman is randomly selected from the 18–24 age group. For women of this group, systolic blood pressures (in mm Hg) are normally

Naddik [55]

Answer:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

And we can find this probability using the complement rule:

$P(z>1.924)=1-P(z$

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(114.8,13.1)$

Where $\mu=114.8$ and $\sigma=13.1$

We are interested on this probability

$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this: $P(X>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)$ And we can find this probability using the complement rule: