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k0ka [10]
3 years ago
5

Numbers A set of 25 two digit numbers are listed below.

Mathematics
1 answer:
Damm [24]3 years ago
5 0

Answer:

14/25

Step-by-step explanation:

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-2 x 4^5 + 18 x 4^5 = ?<br><br> The answer must be in form of a^b. Please explain step by step.
zalisa [80]

Answer:

17*2^11

Step-by-step explanation:

Lets start by remembering two property of power.

x^{m} * x^{n}= x^{n+m}

(x^{m})^{n}= x^{m*n}

That is important to remember since 4= 2^2. Hence, the given problem can be written as the following

-2*(2^{2} )^{5}+9*2^{2}*(2^{2} )^{5}  \\-2*2^{10}+9*2^{2}*2^{10}\\ -2^{11}+9*2^{12}\\ -2^{11}(-1+9*2)=-2^{11} (17)

5 0
3 years ago
Employment data at a large company reveal that 75% of the workers are​ married, 42​% are college​ graduates, and half of the col
galina1969 [7]

Answer:

a. P=0.04

b. P=0.54

c. P=0.96

Step-by-step explanation:

If half of the college graduates are married, then we have:

- 21% are college graduates and married.

- 21% are college graduates and not married.

If 75% of the workers are married, and 21% of the workers are college graduates and married, then (75%-21%)=54% of the workers are not college graduates that are married.

If 25% of the workers are married, and 21% of the workers are college graduates and not married, then (25%-21%)=4% of the workers are not college graduates that are not married.

a) P=0.04 (explanation above)

b) P=0.54

c) In this case, the probability is the complement of point "a". Then we can calculate it by substracting the probability of not being married and not being a college graduate.

P=1-0.04=0.96

8 0
3 years ago
Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch -
liubo4ka [24]

Answer: 144 feet

Step-by-step explanation:

Well solving for area you multiply length times wedth. So multiply 8 and 6 to get 48. Now you have to convert 48 inches into feet. So just multiply 48 times 3 to get 144.

4 0
3 years ago
Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...
kari74 [83]
10, 14, 18 ....

notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

\bf n^{th}\textit{ term of an arithmetic sequence}&#10;\\\\&#10;a_n=a_1+(n-1)d\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;d=\textit{common difference}\\&#10;----------\\&#10;a_1=10\\&#10;d=4\\&#10;n=17&#10;\end{cases}&#10;\\\\\\&#10;a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)&#10;\\\\\\&#10;a_{17}=10+64\implies a_{17}=74\\\\&#10;-------------------------------

\bf \textit{ sum of a finite arithmetic sequence}&#10;\\\\&#10;S_n=\cfrac{n(a_1+a_n)}{2}\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;----------\\&#10;a_1=10\\&#10;a_{17}=74\\&#10;n=17&#10;\end{cases}&#10;\\\\\\&#10;S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714
6 0
3 years ago
Read 2 more answers
Find an equation of the line described. Write the equation in​ slope-intercept form when possible. Through (2,9) and (0,0)
zheka24 [161]

Answer:

y=9/2x

Step-by-step explanation:

I used my notes.

5 0
2 years ago
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