Mathematics: = The average score of Karl s first four math tests is 72 points. After the fifth and the sixth tests, his average score increased to 75 points. If the score of his sixth test is 4 points more than the score of his fifth test, how many points did he score on his sixth test?

1Step-by-step explanation:Follow PEMDAS order of operationMultiplication firstSo.. Division nextAddition nextPut them all together...

= The average score of Karl s first four math tests

khliyahmccaskil

24.01.2022

83 points

Step-by-step explanation:

-The formula for average is given as:

$\bar X=\frac{1}{n}\sum{x_i}\\\\x_i=Individual \ Test \ scores\\n=number \ of \ scores$

Let a be his 5th score and (a+4) of the 6th

#We subtract the sum of the first 4 tests from the 6, to get the sum of the 5th and 6th tests:

$(6^{th}+5^{th})=\bar X n_6-\bar X n_4\\\\=75\times 6-72\times 4\\\\=162$

#We substitute for the 5th and 6th to solve a:

$5^{th}=a\\6^{th}=a+4\\\\a+(a+4)=162\\\\2a=158\\\\a=79\\\\6^{th}=a+4=79+4=83$

Hence, Karl score 83 points in his 6th test.

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19colemankl

21.05.2021

Step-by-step explanation:

$1 + 1 - 1 \times 1 \div 1$

Follow PEMDAS order of operation

Multiplication first

$- 1 \times 1 = - 1$

So.. Division next

$1 \div 1 = 1$

Addition next

1 + 1 = 2

Put them all together

$2 - 1 \times 1 \\ 2 - 1 \\ = 1$

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