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kykrilka [37]
3 years ago
12

Write the number which is a third of the way from -2 to -7?

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer: -5

Step-by-step explanation: -3 , -4 , -5 is the third

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Given m∥n, find the value of x and y.
Korolek [52]

Answer:

x = 15

y = 63

Step-by-step explanation:

9x - 7 + 4x - 8 = 180

13x = 195

x = 15

9x - 7 = 2y + 2

126 = 2y

y = 63

8 0
2 years ago
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in
nadezda [96]

Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

4 0
3 years ago
Determine algebraically whether the function is even, odd, or neither even nor odd.
m_a_m_a [10]
For a function (fn) to be odd:
f(x) = - f(-x)
For a fn to be even:
f(x) = f(-x)
For a fn to be neither even nor odd
f(x) != f(-x)  [No Relation]

(-x)^n = x^n   for n -> even
(-x)^n = -x^n  for n -> odd
In your example:

f(x) = -4x^3 + 4x
f(-x) = -4 (-x)^3 + 4 (-x)^1  ( 3 and 1 are odd powers )
f(-x) = 4x^3 - 4x   (take -1 common to do the check)
f(-x) = -( -4x^3 + 4x ) = - f(x)  [between the bracket was the original fn]

f(x) = - f(-x)   
so the function is odd also called symmetric about the origin
7 0
3 years ago
The point of the concurrence of all angle bisectors of a triangle is called the?
wolverine [178]

Answer:

Incenter is the answer.

Hope it helps!!!

Step-by-step explanation:

6 0
2 years ago
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If the technician charged $327.50, then the technician worked ___<br>hours.​
Anika [276]
How much was he paid per hour
8 0
3 years ago
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