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Kruka [31]
3 years ago
9

HELP PLEASE!!

Mathematics
2 answers:
monitta3 years ago
6 0
Add them all up the divide by the number of numbers there are ok.You will need to add them all up divide by 12.
Ann [662]3 years ago
3 0
1.52  
First, let's calculate the standard deviation. So first, let's calculate the mean:
 M = (135+71+69+80+158+152+161+96+122+118+87+85)/12
 M = 1334/12 = 111.1666667 
 Now the mean of the squares from the mean. So:
 (135-111.1666667)^2 = 23.83333333^2 = 568.0277778
 (71-111.1666667)^2 = -40.16666667^2 = 1613.361111
 (69-111.1666667)^2 = -42.16666667^2 = 1778.027778
 (80-111.1666667)^2 = -31.16666667^2 = 971.3611111
 (158-111.1666667)^2 = 46.83333333^2 = 2193.361111
 (152-111.1666667)^2 = 40.83333333^2 = 1667.361111
 (161-111.1666667)^2 = 49.83333333^2 = 2483.361111
 (96-111.1666667)^2 = -15.16666667^2 = 230.0277778
 (122-111.1666667)^2 = 10.83333333^2 = 117.3611111
 (118-111.1666667)^2 = 6.833333333^2 = 46.69444444
 (87-111.1666667)^2 = -24.16666667^2 = 584.0277778
 (85-111.1666667)^2 = -26.16666667^2 = 684.6944444 
 And their mean:
 (568.0277778+1613.361111+1778.027778+971.3611111+2193.361111+1667
.361111+2483.361111+230.0277778+117.3611111+46.69444444+584.027777
8+684.6944444)/12
 = 12937.66667/12 = 1078.138889 
 And finally, the square root:
 SDEV = sqrt(1078.138889)
 SDEV = 32.83502534 
 So the mean is 111.1666667 and the standard deviation is 32.83502534. 
 Let's determine how far from the mean the lowest and highest values are:
 Low 69 = 69 - 111.1666667 = -42.16666667
 High 161 = 161 - 111.1666667 = 49.83333333 
 The high value is further away from the mean than the low value. The
number of standard deviations from the mean si:
 49.83333333 / 32.83502534 = 1.517688286 
 Rounding to 3 figures gives an answer of 1.52
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16 increased by twice a number is -24 what is the solution?
Lynna [10]

Let x = the number.

"increased by" tells you we are adding.

"twice a number" tells you 2 times a number.

16 + 2x = - 24

Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.

2x = - 24 - 16

2x = - 40

Divide by 2 to isolate the variable.

x = - 40/2 = - 20

Your solution is - 20.

To check your answer, plug in.

16 + 2(-20) = - 24

16 - 40 = - 24

- 24 = - 24

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3 years ago
HELLO!! I REALLY NEED SOME HELP WOTH THIS QUESTION, ITS DUE SOON AND IF YOU CAN SHOW WORK THAT WOULD REALLY HELP THX!!
Marysya12 [62]

Answer:

g(x)=(x+4)^2-5

Step-by-step explanation:

g(x) is shifted 5 down in the y axis, meaning you have to subtract 5 from the function, and is shifted 4 to the left in the x axis- meaning you have to add to the x's in the function.

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3 years ago
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Veronika [31]
100 seconds. The numbers on the left are seconds.
7 0
4 years ago
Please help I will give brainliest
Hunter-Best [27]

Answer:

D

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7 0
2 years ago
Rich also has £400 pounds invest 3% compound interest . How many years does he need to invest the money to get at least £475
zepelin [54]

Answer: 6 years

Step-by-step explanation:

Formula to calculate compound amount: A=P(1+r)^t, where P= Principal , r=rate of interest, t= time

Given: P = £400, r = 3% = 0.03 , A= 475

Required equation: 400(1+0.03)^t\geq475

400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875

Taking log on both sides , we get

t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6

Hence, he needs to invest the money for 6 years to get atleast £475.

7 0
3 years ago
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