The correct answer is C. Let’s break this down with the distributive property.
5(6x+6)
30x+30
5(9-x)
45-5x
Now add and subtract like terms.
30x-5x=25x
30+45=75
Put the remaining numbers together.
25x+75 and there you go.
Step-by-step explanation:
4.
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As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.
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Now substitute this into the volume formula.
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Answer:
0.4 as a fraction is 2/5, so as long as the fraction is greater than 2/5 then you are good
5/9 || 0.55
Step-by-step explanation:
Answer:
d. The common ratio is 1.1
Step-by-step explanation:
To see if the data has a common ratio or common difference, we have to see if the division between them is equal(common ratio), or if the difference between them is equal(common difference).
In this case, since
, it has a common ratio.
To find it, we divide consecutive terms. For example:

So the correct answer is:
d. The common ratio is 1.1
Z = (X-Mean)/SD
<span>z1 = (165 - 150)/15 = +1 </span>
<span>z2 = (135 - 150)/15 = - 1 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean +/- 1SD covers 68% of the values </span>
<span>100% - 68% = 32% </span>
<span>The remaining 32% is equally distributed below z = - 1 and z = +1 </span>
<span>32%/2 = 16%
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<span>Therefore,
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<span>a) Number of men weighing more than 165 pounds = 16% of 1000 = 160 </span>
<span>b) Number of men weighing less than 135 pounds = 16% of 1000 = 160</span>