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3 years ago

89,678 to the nearest hundred

Mathematics

1 answer:

inna [77]3 years ago

4 0

Answer:

89,700

Step-by-step explanation:

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Given the mean 71.4 and sample standard deviation 11.5 what is the z-

Elenna [48]

Answer: 1.18

Step-by-step explanation:

Z = (x - mean) / standard deviation

Z = (85 - 71.4) / 11.5

Z = 13.6 / 11.5 = 1.18

6 0

3 years ago

Solve the quadratic equation.<br> (a + 5)2 +36 = 9

Andrej [43]

Answer:

No solution unless you want to solve for an imaginary number which in that case $a=27i-5$

Step-by-step explanation:

$(a+5)^{2} +36=9$

$(a+5)^2=-27$

$a+5=\sqrt{-27}$

Here you can stop and say "no solution" since you cannot square root a negative number, but if you want you can still solve for an imaginary number:

$a+5=\sqrt{-1} \sqrt{27}$

$a+5=27i$

$a=27i-5$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=-2%283%20-%202x%29%20%3D%20-6x%20%2B%208%28x%20%2B%202%29" id="TexFormula1" title="-2(3 - 2x)

vovikov84 [41]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}$

Step-by-step explanation:

$\sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}$

Distribute -2 through the parentheses

Similarly, Distribute 8 through the parentheses

$\dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}$

Collect like terms

$\dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}$

Move 2x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

$\dashrightarrow{ \sf{4x - 2x = 16 + 6}}$

Collect like terms

$\dashrightarrow{ \sf{2x = 16 + 6}}$

Add the numbers : 16 and 6

$\dashrightarrow{ \sf{2x = 22}}$

Divide both sides by 2

$\dashrightarrow{ \sf{ \frac{2x}{2} = \frac{22}{2} }}$

Calculate

$\dashrightarrow{ \sf{x = 11}}$

Hope I helped!

Best regards! :D

5 0

3 years ago

A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the b

adell [148]

Okay, can we all just agree that this is sillier then the man who bought 27 watermelons? The volume for one of the bubbles is about 0.11mm.

5 0

3 years ago

Read 2 more answers

What is the slope of the line that passes throught the points (1,1) and (-1,-5)

Amiraneli [1.4K]

$m = \dfrac{ \textrm{rise}}{\textrm{run}} = \dfrac{1 - -5 }{1 - -1} = \dfrac{6}{2} = 3$

Slope is 3

6 0

3 years ago