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3 years ago

Help me with number 7 for 10 points!!!

Mathematics

2 answers:

vodka [1.7K]3 years ago

5 0

Mode=87
Mean=77.5
Median=84
range =54

Ket [755]3 years ago

3 0

Remember this rhyme:

Hey Diddle Diddle, the medians the middle:

(Answer for your question: Median is 80%)

You add and divide for the Mean:

( Answer for your question: Mean is 93)

The mode is the one that appears the most:

( Answer for your question: Mode is 87%)

And the range is the difference between.:

( Answer for your question: Range is 54.)

I hope this helps! :)

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Louisa ran at an average speed of five miles per hour along an entire circular park path. Calvin ran along the same path in the

docker41 [41]

Answer:

15 miles

Step-by-step explanation:

Let $x$ be the miles in the circular park path, $t_{L}$ the time Louisa takes to finish and $t_{C}$ the time Calvin takes to finish both in hours.

Then $x$ , the longitude is equal to the velocity times the time used to finish. So

$x=5t_{L}$

$x=6t_{C}$

And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:

$t_{C}=t_{L}-0.5$

Three equations, three unknowns, the system can be solved.

Equalizing the equation with x :

$5t_{L}=6t_{C}$

In this last equation replace $t_{C}$ with the other equation and solve:

$5t_{L}=6(t_{L}-0.5)\\ 5t_{L}=6t_{L}-3\\ 3=6t_{L}-5t_{L}\\ 3=t_{L}\\ t_{L}=3$

With Louisa's time find x:

$x=5t_{L}\\ x=5(3)\\ x=15$

7 0

3 years ago

The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years till

siniylev [52]

Step-by-step explanation:

the equation :

Hn = 7n + 3

where :

Hn : the height of trees at year to-n

n : year to-n (n = 1,2,3,...)

so, the rate of change : increasing 7 feet per year.

8 0

3 years ago

If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are: