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snow_lady [41]
3 years ago
5

He normal pulse rate of a 13-year-old is between 70 and 100 beats per minute. As part of a health program, the medical staff at

Grant Middle School measured the resting pulse rate of 12 randomly selected students in grades 7 and 8. The box plot shows the data for each group. Which statement correctly compares the data sets?
The difference of the medians is about half of the interquartile range of either data set.
The difference of the medians is about 2 times the interquartile range of either data set.
The difference of the medians is about one-fourth of the interquartile range of either data set.
The difference of the medians is about 4 times the interquartile range of either data set.

Mathematics
2 answers:
GaryK [48]3 years ago
7 0
T<span>he difference of the medians is about half of the interquartile range of either data set.</span>
SVEN [57.7K]3 years ago
6 0
From the box plot, it can be seen that for grade 7 students,
The least value is 72 and the highest value is 91. The lower and the upper quartiles are 78 and 88 respectively while the median is 84.

Thus, interquatile range of <span>the resting pulse rate of grade 7 students is upper quatile - lower quartle = 88 - 78 = 10

</span>Similarly, from the box plot, it can be seen that for grade 8 students,
The least value is 76 and the highest value is 97. The lower and the upper quartiles are 85 and 94 respectively while the median is 89.

Thus, interquatile range of the resting pulse rate of grade 8 students is upper quatile - lower quartle = 94 - 85 = 9

The difference of the medians <span>of the resting pulse rate of grade 7 students and grade 8 students is 89 - 84 = 5

Therefore, t</span><span>he difference of the medians is about half of the interquartile range of either data set.</span>
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Use the Pythagorean Theorem to find x <br> Round to the nearest tenth?
NemiM [27]

Answer: last option. 9.2

Step-by-step explanation:

The pythagoreon theorm tells us, a^2+b^2 = c^2. We can substitute these values, so 7^2 + 6^2 = x^2 => 49+36 = x^2 => root of 85. The root of 85 is 9.219 something so you can round 9.219 to 9.2.

6 0
2 years ago
Does anyone know how to do this???
Bond [772]

Answer:

  x° ≈ 77.6°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between trig functions and triangle sides. Side CD is common to the triangle on the left and the one on the right, so we can consider relationships that might help us use that to find the answer.

In the triangle on the right, we need a relationship between CD and BD. These sides are opposite and adjacent to the given angle, so we can use the relation ...

  Tan = Opposite/Adjacent

  tan(38°) = CD/3.5

Multiplying by 3.5, we can find CD:

  CD = 3.5·tan(38°)

__

In the triangle on the left, we know sides CD and CA, the side opposite x° and the hypotenuse of that right triangle. This lets us use the sine relationship:

  Sin = Opposite/Hypotenuse

  sin(x°) = CD/2.8

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Using our value for CD, this becomes ...

  sin(x°) = (3.5·tan(38°)/2.8)

  sin(x°) = (5/4)tan(38°)

Using the inverse sine function, we can find x° to be ...

  x° = arcsin(5/4·tan(38°)) ≈ 77.6°

The size of the angle marked x° is about 77.6°.

6 0
2 years ago
The midpoint M of CD has coordinates (0,4). Point C has coordinates (0,5). Find the
vova2212 [387]

Answer:

0,6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP
Maslowich

If an event occurs 0 times (out of 4, in this case) then it does not occur at least once. So we can find the probability of it not occurring and then subtract that value from 1.

So, what are the chances of it not occurring in 1 trip?

1−.37=.63

What about not occurring in 2 trips?

(1−.37)⋅(1−.37)=.63⋅.63=.3969

Now what about not occurring in 4 trips?

.63^4 = 0.15752961

We must subtract this value from 1

(recall that what we just calculated is the probability of it not occurring, so the probability of it occurring at least once is:

1−0.15752961 = .84247039

TLDR - In 4 trips the chance of a guest catching a cutthroat once in under 4 trips in 0.84.

8 0
2 years ago
Find the area.........
maks197457 [2]
A=bh
A=4(10)
A= 40 inches squared
7 0
3 years ago
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