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3 years ago

7

Which sets of values can be the measures of the exterior angles of a triangle? 120°, 110°, 130° 35°, 103°, 122° 123°, 87°, 220°

120°, 120°, 120° 123°, 157°, 90°

1 answer:

kodGreya [7K]3 years ago

8 0

Answer:

The values are :

we khow that the sum of a triangle angles is 180°
the sum of each set exterior and interior angle is 360°
so 360+360+360-180 = 900 is the sum of exterior angles of a triangle
we can see no set can satisfy this condition

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A class has an equal number of boys and girls. The boys all got 78% on a test and the girls all got 84%. What are the mean and s

Sergio039 [100]

Answer:

Mean is 81%

standard deviation is approximately 4.2%

Step-by-step explanation:

Since the number of boys equals the number of girls, but it is not given, we name it "N". and proceed to calculate the mean as:

Mean = (0.78 * N + 0.84 * N) /(2 N)

using that the total number of students must be N boys + N girls = 2 N

Then the Mean becomes: N *(0.78 + 0.84) /(2 N) = (0.78 + 0.84) / 2 = 1.62 / 2 = 0.81

So the mean is 81%

Now, standard deviation will be calculated by first adding the squares of the deviations: (X-0.81)^2 for the N boys and for the N girls, and then finding the square root of this and finally dividing by the square root of N. That is:

$N\,(0.78-0.81)^2\,+\,N\,(0.84-0.81)^2= N \left \{ (-0.03)^2+(0/03)^2\right \}=N\,*0.0018$

Now finding the square root of this value, and finally dividing it by the square root of N:

$\sigma=\frac{\sqrt{N\,*\,0.0018} }{\sqrt{N} } =\sqrt{0.0018} \approx 0.042426$

which in percent form is: approximately 4.2%

7 0

3 years ago

zhenek [66]

Answer:

The total volume of juice in a six-pack is $254.3\ in^{2}$

Step-by-step explanation:

step 1

Find the volume of one can

The volume of the cylinder (can of juice) is

$V=\pi r^{2} h$

we have

$r=3/2=1.5\ in$ ----> the radius is half the diameter

$h=6\ in$

assume

$\pi =3.14$

substitute

$V=(3.14)(1.5)^{2} (6)$

$V=42.39\ in^{2}$

step 2

Find the total volume of juice in a six-pack

Multiply the volume of one can by 6

$42.39*(6)=254.3\ in^{2}$

8 0

3 years ago

A machine makes 70 springs each hour. How many springs will the machine make in 8 hours?

umka2103 [35]

70×8= 560
560 springs an hour

4 0

4 years ago

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One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?

iogann1982 [59]

Answer:

22 divided 5 I would think

Step-by-step explanation:

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3 years ago

Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.

SpyIntel [72]

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

$3x+8y=55$ -----> equation A

$x+y=15$

$x=15-y$ -----> equation B

Substitute equation B in equation A

$3[15-y]+8y=55$

$45-3y+8y=55$

$5y=55-45$

$5y=10$

$y=2$

Find the value of x

$x=15-y$

$x=15-2=13$

therefore

<u>the answer is</u>

the number of multiple choice question are $13$

the number of free response question are $2$

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3 years ago

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