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Ronch [10]
3 years ago
9

4. The mean of 12 numbers is 5.5. Eleven

Mathematics
2 answers:
Mashutka [201]3 years ago
7 0

Answer:

A) 4

B) Mode is 5

C) 10.5

Step-by-step explanation:

A) 62+x/12

(62 + x) ÷ 12 = 5.5 ×12

62 + x = 66

×= 66-62

×=4

B) mode is the highest occuring no which is 5

C) mean has been given as 5.5; mean plus mode= 10.5

ozzi3 years ago
6 0

Answer:

a) 4

b) 5

c) 9

Step-by-step explanation:

a) let the 12th number b x

Mean = sum/n

5.5 = (5+6+5+3+4+5+7+6+9+7+5+x)/12

5.5×12 = 62+x

66 = 62+x

x = 4

b) set is: 3,4,4,5,5,5,5,6,6,7,7,9

Mode is 5 (most frequent)

c) mode+mean = 5+4 = 9

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3 years ago
Kyle notices that the number of likes he receives each day on his social media page is a function. He decides to create a graph
12345 [234]

Answer:

B) y=12x

Step-by-step explanation:

We are given with the coordinates (0,0) , (1,12) \ and \ (2,24)

Where x represents the number of days.

y represents the number of likes she got.

To model the equation using Kyle's data we find the slope using the given coordinate.

Let us say (0,0) \ as \ (x1 , y1) and (1,12) \ as \ (x2,y2)

Slope (m) formula ,  m=\frac{(y2-y1)}{(x2-x1)}

Plug in the above points now, we get

m=\frac{(12-0)}{(1-0)} =\frac{12}{1} =12

Now we use the point-slope formula, (y-1)= m(x-x1)

Plugging the corresponding values.

     (y-0)= 12(x-0)\\y=12x

Thus option is B is the correct answer.

5 0
3 years ago
Help me guys <br> thx so much
navik [9.2K]

Answer:

Option D, 10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}

Step-by-step explanation:

<u>Step 1:  Multiply</u>

<u />(\sqrt{10x^4} -x\sqrt{5x^2} )*(2\sqrt{15x^4} + \sqrt{3x^3})\\ (\sqrt{10 * x^2 * x^2} -x\sqrt{5 * x^2} ) * (2\sqrt{15 * x^2 * x^2} +\sqrt{3 * x^2 * x})\\(x^2\sqrt{10} -x^2\sqrt{5} )*(2x^2\sqrt{15} +x\sqrt{3x}) \\\\

(x^2\sqrt{10}*2x^2\sqrt{15} )+(x^2\sqrt{10}*x\sqrt{3x} ) + (-x^2\sqrt{5} *2x^2\sqrt{15}) + (-x^2\sqrt{5} *x\sqrt{3x}

(2x^4\sqrt{150} ) + (x^3\sqrt{30x}) + (-2x^4\sqrt{75}) + (-x^3\sqrt{15x}  )

2x^4\sqrt{5^2*6} + x^3\sqrt{30x} -2x^4\sqrt{5^2*3} -x^3\sqrt{15x}

10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}

Answer:  Option D, 10x^4\sqrt{6} +x^3\sqrt{30x} -10x^4\sqrt{3} -x^3\sqrt{15x}

6 0
3 years ago
Read 2 more answers
Match the labeled points on the graph to statements about their coordinates Two numbers with a sum of 2
Kamila [148]

Answer:

see explanation!

Step-by-step explanation:

Line N

  • A set of points where the coordinates of each point have a sum of 2

Line M

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Any coordinate on N has a sum of 2.

Any coordinate on M has a y that is 10 less than the x.

6 0
2 years ago
According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h
shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 mortgages

            r = number of success = exactly one

           p = probability of success which in our question is % of U.S.

                  mortgages those were delinquent in 2011, i.e; 8%

<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>

So, it means X ~ Binom(n=8, p=0.08)

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

                 P(X = 1)  = \binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}

                               = 8 \times 0.08 \times 0.92^{7}

                               = 0.357

<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>

4 0
3 years ago
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