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Evgesh-ka [11]
3 years ago
10

Complete the equation, and tell which property you used. 8 x (14+7) = _________+ (8 x 7)

Mathematics
1 answer:
melamori03 [73]3 years ago
8 0
By distributive property, 8 x (14 + 7) = (8 x 14) + (8 x 7)
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The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al
dezoksy [38]

Answer:

Step-by-step explanation:

Hello!

A systematic sample is a sampling type where, the population units are listed in a certain order, the first unit is randomly chosen from the first k number of units and then the subsequent units are selected in intervals of k. To calculate k, in case you know the population size, you have to divide the population size by the sample size (usually established based on previous information. Remember k is always a whole number.

a) k= pob/n= 4247/40= 106.175 ≅ 106

b) From the 106 individuals you have to randomly select the first unit. Then starting from it the next 39 individuals surveyed will be the +k

Using a random number calculator I've chosen the first individual to be surveyed as number 57 after that you have to add k= 106 to know wich are the next individuals to be sampled:

1) 57                          11) 1117        21) 2177       31) 3237

2) 57 + 106= 163      12) 1223      22) 2283    32) 3343

3) 269                      13) 1329      23) 2389     33) 3449

4) 375                       14) 1435      24) 2495     34) 3555

5) 481                        15) 1541       25) 2601     35) 3661

6) 587                       16) 1647      26) 2707     36) 3767

7) 693                       17) 1753       27) 2813      37) 3873

8) 799                       18) 1859       28) 2919     38) 3979

9) 905                       19) 1965       29) 3025    39) 4085

10) 1011                      20) 2071       30) 3131      40) 4191

I hope it helps!

3 0
3 years ago
Write each expression as an algebraic​ (nontrigonometric) expression in​ u, u > 0.
max2010maxim [7]

Answer:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

Step-by-step explanation:

We want to write the trignometric expression:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)

Take the secant of both sides:

\displaystyle \sec(\theta)=\frac{u}{10}

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}

By substitutition:

\displaystyle= \sin(2\theta)

Using an double-angle identity:

=2\sin(\theta)\cos(\theta)

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)

Simplify. Therefore:

\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0

4 0
3 years ago
Please help me! I need this answered fast!
zysi [14]

Answer:

Number 5 is D

Number 6 is A

3 0
3 years ago
 How much fencing is required to enclose a circular garden whose radius is 22 ​m? Use 3.14 for pie
galina1969 [7]

Answer:

138.16 m

Step-by-step explanation:

Circumference=2πr

r=22

C=2·3.14·22

C=138.16


3 0
3 years ago
Which function is the inverse of f(x) = –5x – 4?
mixas84 [53]

y=-5x-4

x=-5y-4

5y=-x-4

y= -1/5x - 4/5

7 0
3 years ago
Read 2 more answers
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