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Vika [28.1K]
3 years ago
13

(i) Calculate the mean and standard deviation for these weekly incomes.

Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

Mean = 272.3

sd = 37.7

Step-by-step explanation:

Mean = sum/n

(221+248+251+255+259+263+264+272+291+297+374) ÷ 11

= 2995/11

= 272.2727273

Variance = (sum of x²)/n - mean²

[(221²+248²+251²+255²+259²+263²+264²+272²+291²+297²+374²)/11] - (2740/11)²

= (831067/11) - (2995/11)²

= 1419.107438

sd² = variance

sd = sqrt(1419.107438)

sd = 37.67104243

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Sally found that out of 750 cans stamped in the ½ hour trial run, 150 were not stamped. About how many were not stamped in 3 hou
Vera_Pavlovna [14]

Answer:

<em>About 900 cans not stamped in 3 hours</em>

Step-by-step explanation:

<u>Proportions</u>

Sally found that 150 cans were not stamped in the 1/2 hour trial run.

Following the same proportion in time, we can say:

150 cans not stamped in 1/2 hour. Multiplying by 2:

300 cans not stamped in 1 hour. Multiplying by 3:

900 cans not stamped in 3 hours

About 900 cans not stamped in 3 hours

7 0
2 years ago
-18= 5-(6k - 19) i have the answer but i need help on how to get the answer 7?
insens350 [35]

Answer:

k = 7

Step-by-step explanation:

Step 1: Write equation

-18 = 5 - (6k - 19)

Step 2: Solve for <em>k</em>

<u>Distribute negative:</u> -18 = 5 - 6k + 19

<u>Combine like terms:</u> -18 = -6k + 24

<u>Subtract 24 on both sides:</u> -42 = -6k

<u>Divide both sides by -6:</u> k = 7

Step 3: Check

<em>Plug in k to verify it's a solution.</em>

-18 = 5 - (6(7) - 19)

-18 = 5 - (42 - 19)

-18 = 5 - 23

-18 = -18

7 0
3 years ago
Consider the line y=1 x -1 and the point P=(2,0).
Montano1993 [528]

Answer:

Step-by-step explanation:

d(x)=√((x-2)2+(y-0)²)

=√((x-2)²+y²)

=√((x-2)²+(x-1)²)

=√(x²-4x+4+x²-2x+1)

=√(2x²-6x+5)

D=d²(x)=2x²-6x+5

b.\\\frac{dD}{dx}=4x-6\\\frac{dD}{dx}=0,gives \\4x-6=0\\x=\frac{3}{2}\\\frac{d^2D}{dx^2}=4 >0 at x=\frac{3}{2}\\so~D~or~d^2~or~d~is~minimum~at~x=\frac{3}{2}\\so~y=1(\frac{3}{2} )-1=1/2=0.5\\so~nearest~point~is~(1.5,0.5)

8 0
3 years ago
ITS 8TH GRADE SCIENCE HELP: Consider this problem statement, "Does the amount of salt in water affect the rate of freezing?" Ide
vova2212 [387]
I think it’s line graph but I think I’m completely wrong-

6 0
3 years ago
Is 4y - 8 &gt; 10 true?
steposvetlana [31]

4y-8>10

Add 8

4y-8+8>10+8

4y>18

Now divide both sides by 4

4y/4 > 18/4

y>9/2


Now let's see if it will be true

Replace y by its value

4(9/2)-8>10

36/2 -8 > 10

18-8 > 10

10 > 10

That's false because 10 can not smaller than 10

so it should be = instead


Answer : False


I hope that's help:)

7 0
3 years ago
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