How do you solve this equation step-by-step? (below) 4a + 8 - 2a - 3 = 45

Mathematics

2 answers:

timofeeve [1]2 years ago

6 0

Answer:

a=20

Step-by-step explanation:

makkiz [27]2 years ago

3 0

Answer:

Step-by-step explanation:

4a-2a+8-3=45

2a+5=45

2a+5-5=45-5

2a/2=40/2

a=20

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The mean score of the maths test is 70 with a standard deviation if 12. Calculate the z-score of a student who got 55 marks. Int

Nuetrik [128]

Answer:

Z = -1.2 ( It is below the group mean), The sudent performed less than average.

Step-by-step explanation:

From the question,

Applying

Z = (x-μ)/σ........................ Equation 1

Where Z = z-score, x = observed score or raw score, μ = mean of the score, σ = standard deviation of the score

Given: x = 55 marks, μ = 70, σ = 12

Substitute these values into equation 1

Z = (55-70)/12

Z = -15/12

Z = -1.25

Hence the z- score is negative, meaning it is below the group mean, I.e the student who get 55 marks, performed less than average

8 0

3 years ago

A garden measures 6 feet by 7 feet. A gravel path of constant width is placed around the garden so that the total area is 72 squ

Lubov Fominskaja [6]

Let
x---------> <span>the width of the gravel path

we know that
72=(2x+6)*(2x+7)----> 72=4x</span>²+14x+12x+42-------> 4x²+26x-30=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
x=1

the answer is
the width of the gravel path is 1 ft