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miss Akunina [59]
2 years ago
5

Could -2 be used as a base to rewrite 32? 64? why or why not ?

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
7 0
32 NOT, because:

(-2)⁵ = (-2)(-2)(-2)(-2)(-2) = -32

64 YES, because:

(-2)⁶ = (-2)(-2)(-2)(-2)(-2)(-2) = 64
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What was the age distribution of prehistoric Native Americans? Extensive anthropological studies in the southwestern United Stat
neonofarm [45]

Answer:

\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{1394}{88}=15.8

s^2 = \frac{88(32372) -(1394)^2}{88(88-1}=118.3

Sd(X) = \sqrt{118.273}=10.9

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.  

Solution to the problem

For this case we can calculate the properties required with the following table:

Interval     Mid point (x)     f           x*f         x^2 *f

_________________________________________

1-10               5.5               40        220         1210

11-20             15.5              15        232.5       3603.75

21-30            25.5             23       586.5       14955.75

>31                35.5             10        355          12602.5

________________________________________

Total                                 88        1394         32372

We assume that the mid point for the class >31 is 35.5 using the problem information.

For this case the expected value would be given by:

\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{1394}{88}=15.8

The variance owuld be given by this formula"

s^2 = \frac{n(\sum x^2 f) -(\sum xf)^2}{n(n-1}

And if we replace we got:

s^2 = \frac{88(32372) -(1394)^2}{88(88-1}=118.3

The standard deviation would be just the square root of the variance:

Sd(X) = \sqrt{118.273}=10.9

4 0
3 years ago
Read 2 more answers
What is 7 1/2 increased by 5 1/4?​
g100num [7]

Answer:

12.75

Step-by-step explanation:

12 3/4

5 0
2 years ago
Approximately how many degrees are in the measure of an interior angle of a regular seven side polygon
larisa [96]

Answer:

72

Step-by-step explanation:

360 ÷ 5, because all shapes angles add up to 360. and a polygon has 5 sides

8 0
3 years ago
Poppy, felix and Alexi sell 700 raffle tickets between them. Poppy sells twice as many tickets as Felix, and Alexi sells 25 more
slavikrds [6]
Let give Poppy = P, Felix = F, Alexi = A
so P+ F + A = 700 ----(1)
P = 2F ----(2)
A = 25 + P ---(3)
we will think in term of P

from (2) F = P/2

from (1) P + F + A = 700
P + P/2 + 25 + P = 700 ---(4)
(4) multiplied by 2
2P + P + 50 + 2P = 1400
5P + 50 = 1400
5P = 1350
so P = 270

so Poppy sold 270 tickets
Felix sold 135 tickets
and Alexi sold 295 tickets //
3 0
2 years ago
Angle RST is a right angle. Angle RSU has a measure of 25°.
Angelina_Jolie [31]

Keywords

complementary angles, right angle

we know that

If two angles are <u>complementary angles</u>, then their sum is equal to a <u>right angle</u>

In this problem

Angle\ RSU+Angle\ TSU=90\° -------> by <u>complementary angles</u>

we have

Angle\ RSU=25\°

Substitute and solve for Angle TSU

Angle\ TSU=90\°-25\°=65\°

therefore

the answer is the option

65\°

5 0
3 years ago
Read 2 more answers
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