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2 years ago

6

In order to earn a grade of C in the midterm, a student must have a score that is within 6 points of the average score of 62 poi

nts. What score would earn a C?

1 answer:

Elena L [17]2 years ago

5 0

Answer:

Step-by-step explanation:

70%

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Emma is standing 10 feet away from the base of a tree and tries to measure the angle of elevation to the top. She is unable to g

Vaselesa [24]

The complete question in the attached figure

step 1
find the tree height for an angle of elevation of 55°<span>
tan 55</span>°=opposite side angle 55°/adjacent side angle 55°
opposite side angle 55°=the tree height h1
adjacent side angle 55°=10 ft
so
tan 55°=h/10-------> h=10*tan 55°-----> h=14.28 ft

step 2
find the tree height for an angle of elevation of 75°
tan 75°=opposite side angle 75°/adjacent side angle 75°
opposite side angle 75°=the tree height h2
adjacent side angle 75°=10 ft
so
tan 75°=h2/10-------> h2=10*tan 75°-----> h2=37.32 ft

therefore

<span>the height of the tree is within the range [14.26,37.32]
</span>
Part 1) 4.2 ft

<span>the value is not in the interval [14.26,37.32]
therefore
it is </span>Not Reasonable

Part 2) 14.7 ft

the value is in the interval [14.26,37.32]
therefore
it is Reasonable

Part 3) 24.4 ft

the value is in the interval [14.26,37.32]
therefore
it is Reasonable

Part 4) 33.9 ft

the value is in the interval [14.26,37.32]
therefore
it is Reasonable

Part 5) 39.1ft

the value is not in the interval [14.26,37.32]
therefore
it is Not Reasonable

Part 6) 58.7 ft

the value is not in the interval [14.26,37.32]
therefore
it is Not Reasonable

4 0

2 years ago

5/4 miness 5/8what does it equal

Ivan

Answer:
5/8
explanation:
5/4(2)=10/8-5/8

4 0

2 years ago

Place the fractions 3 7 , 1 3 , 2 5 , and 3 8 in order from least to greatest.

eimsori [14]

Answer:

$1/3,$ $3/8,$ $2/5,$ $3/7$

Step-by-step explanation:

$3/7 \approx 0.42857142857$

$1/3 \approx 0.33333333333$

$2/5 = 0.4$

$3/8 = 0.375$

4 0

2 years ago

Read 2 more answers

Log264 = 6 if and only if ab = c. find the values of a, b and c that make the statement true

goblinko [34]

$\log_ac=b\iff a^b=c$

$\log_264=6\iff2^6=64\\\\a=2,\ b=6,\ c=64\\\\2^6=2\cdot2\cdot2\cdot2\cdot2\cdot2=64$

6 0

2 years ago

Read 2 more answers

If five numbers are selected at random from the set {1,2,3,...,20}, what is the probability that their minimum is larger than 5?

Zanzabum

Answer:

the probability that their minimum is larger than 5 is 0.2373

Step-by-step explanation:

For calculate the probability we need to make a división between the total ways to selected the 5 numbers and the ways to select the five numbers in which every number is larger than 5.

So the number of possibilities to select 5 numbers from 20 is:

<u>20 </u> * <u> 20 </u>* <u> 20 </u> *<u> 20 </u>* <u> 20 </u>

First number 2nd number 3rd number 4th number 5th number

Taking into account that a number can be chosen more than once, and the order in which you select the numbers matters, for every position we have 20 options so, there are $20^{5}$ ways to select 5 numbers.

Then the number of possibilities in which their minimum number is larger than 5 is calculate as:

<u>15 </u> * <u> 15 </u>* <u> 15 </u> *<u> 15 </u>* <u> 15 </u>

First number 2nd number 3rd number 4th number 5th number

This time for every option we can choose number from 6 to 20, so we have 15 numbers for every option and the total ways that satisfy the condition are $15^{5}$

So the probability P can be calculate as:

$P=\frac{15^{5} }{20^{5} } \\P=0.2373$

Then the probability that their minimum is larger than 5 is 0.2373

7 0

2 years ago