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Pie
2 years ago
12

Question 8

Mathematics
1 answer:
Anna35 [415]2 years ago
3 0

Answer:

33.31 cm or higher

Step-by-step explanation:

Given that:

Mean = 29.79 cm

Standard deviation, s = 1.76 cm

According to the range rule of thumb, values which are greater than or equal to 2 standard deviations from the mean are significantly high values :

Significantly high values are :

Mean + 2(standard deviation)

29.79 cm + 2(1.76)

29.79 + 3.52

= 33.31cm

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7x-5=8(x+3) solve for x​
Harlamova29_29 [7]

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Step-by-step explanation:

We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

\text{7x - 5 = 8(x + 3) \ \ \ Distribute the 8 throughout the parentheses.}\\\text{7x - 5 = 8x + 24 \ \ \ \ Subtract 7x from both sides.}\\\text{-5 = x + 24 \ \ \ \ \ \ \ \ \ \ Flip the equation.}\\\text{x + 24 = -5 \ \ \ \ \ \ \ \ \ \ Subtract 24 from both sides.}\\\small\boxed{\bold{{x = -29}}}

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

\text{7(-29) - 5 = 8(-29 + 3)}\\\text{-203 - 5 = -232 + 24}\\\text{-208 = -208} \ \checkmark

Because we ended up with a true statement, we have determined that the value of x is -29.

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