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Mariana [72]
2 years ago
10

Evaluate each expression if m = 3, n = 7, and p = 9

Mathematics
2 answers:
Katen [24]2 years ago
7 0

Answer:

27

Step-by-step explanation:

\frac{(n+2)^2}{3}

It is given that, n=7, substitute in this value and solve,

\frac{((7)+2)^2}{3}\\\\= \frac{(9)^2}{3}\\\\=\frac{81}{3}\\\\= 27

katrin2010 [14]2 years ago
4 0

Answer:

27

Step-by-step explanation:

<u><em>First, you would do 7+2 to get 9 and then multiply it by itself to get 81. Next, you divide 81 by 3 to get 27.</em></u>

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The skateboard cost $150
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Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx
Alex787 [66]

Answer:

Step-by-step explanation:

we have

cscx = sinx tanx + cosx\\\\\frac{1}{sinx}=sinx.\frac{sinx}{cosx} +cosx\\\\\frac{1}{sinx}.sinx.cosx= sinx.\frac{sinx}{cosx}.sinx.cosx+cosx.sinx.cosx\\  cosx= (sinx)^{3} +sinx.(cosx)^{2} \\cosx= sinx[(sinx)^{2}+(cosx)^{2})\\  cosx=sinx.1\\cosx=sinx\\tanx=1\\x=\frac{\pi}{4} +k\pi,k-integer.

6 0
3 years ago
F = 1.8 C + 32<br> (a) Work out the value of F when C = -8
dybincka [34]

Answer:

17.6°

Step-by-step explanation:

1.8x-8=-14.4

-14.4 + 32= 17.6°C

5 0
3 years ago
Find m∠U.<br> Write your answer as an integer or as a decimal rounded to the nearest tenth.
AleksAgata [21]

Answer:

50.2

Step-by-step explanation:

ut =  \sqrt{ {6}^{2}  +  {5}^{2} }   \\  \sqrt{36 + 25}  \\  \sqrt{61 }  \\ using \: cosine \: rule \\ cos \: u =  \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times  \sqrt{61} }  \\  \\  =  \frac{25 + 61 - 36}{78}  \\  \\  = \frac{50}{78 }  \\  \cos \: u = 0.64 \\ m \:u = 50.2

3 0
3 years ago
A florist determines the probabilities for the number of flower arrangements they deliver each day.
anastassius [24]

Answer:

a) mean = 20.75

b) variance = 1.6274

c) standard deviation = 1.2757

d) 145 arrangements per week.

Step-by-step explanation:

We have the following distribution:

x       19      20    21     22      23

P(x) 0.21  0.22  0.30  0.15    0.12

Mean: Is the average of the data. To find the mean, you need to take every x and multiply it by its corresponding P(x) and sum these values. The result will be the mean.

μ =∑ (x·P(x))

Therefore, in this case we have:

μ = 19(0.21) + 20(0.22) + 21(0.30) + 22(0.15) + 23 (0.12) = 20.75

Thus, the mean is 20.75

Variance: To calculate the variance you need to subtract the mean to every value x, then square the result and multiply it by the probability. Finally, you sum up these results and you get the variance.

In this case we will have

19 - 20.75 = -1.75 ⇒ (-1.75)²(0.21) =<u> 0.6431</u>

20 - 20.75 = -.75 ⇒(0.75)²(0.22) = <u>0.1237</u>

21 - 20.75 = 0.25 ⇒(0.25)²(0.30) = <u>0.0187</u>

22 - 20.75 = 1.25 ⇒(1.25)²(0.15) = <u>0.2344</u>

23 - 20.75 = 2.25 ⇒ (2.25)²(0.12) = <u>0.6075</u>

Now we need to sum up these results:

0.6431 + 0.1237 + 0.0187 + 0.2344 + 0.6075 = 1.6274

The variance is 1.6274.

Standard Deviation: It is the root of the variance.

Therefore, the standard deviation will be √1.6274 = 1.2757

b) How many arrangements should the florist expect to deliver each week, rounded to the nearest whole number?

To answer this question we'll work with the mean, he expects to deliver 20.75 arrangements per day, therefore, per week he'd deliver:

20.75 (7) = 145.25 = 145 arrangements.

7 0
3 years ago
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