Answer:
3/4
x 180/= <u>135°</u>
Step-by-step explanation:
<h2>We know:</h2>
You currently make $13.50 an hour. You've earned a 15% pay raise. You want to find out your previous rate of pay per hour.
<h2>Steps:</h2>
1.) Convert 15% to a decimal, which equals 0.15
2.) Multiply your current earnings with the percentage in decimal form (0.15)
$13.50 (current pay per hour) x 0.15 (percentage in decimal form) = $2.025 (difference between your previous wage and your current wage)
3.) Subtract the difference of your previous wage and current wage with your current earnings
$13.50 (current pay per hour) - $2.025 (difference between previous and current wage) = $11.475 (previous pay per hour)
4.) Since this is talking about wage, rounding is not applicable. In other cases, your number would be rounded off to $11.48, however you can't add what you don't have, so you would have to round down.
<h2>
You were previously making $11.47 an hour.</h2>
Step-by-step explanation:
a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.
given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.
that means for ACDF that the sides DC and FA are equally long.
DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.
based on the SAS criteria this confirms that DF is congruent to AC.
the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.
so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have
360 = 4×angle
angle = 90 degree.
so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle
Answer:
So we have at least 88.89% of the noise level values within 3 deviation from the mean.
Step-by-step explanation:
For this case let define the random variable X as the noise level, we know the following properties for X:
And for this case we don't know the distribution for the random variable X.
But we can use the Chebysev theorem who states that the minimum percentage of the data that lies within k standard deviations from the mean is given by:
So for this case we have that k = 3 and if we use this theorem we have:
And we can convert this into % and we got:
So we have at least 88.89% of the noise level values within 3 deviation from the mean.
Answer:
22
Step-by-step explanation:
Missy has 156 cards in total. Since we know she has 4 times as many as them, we divide 156 by 4
156/4= 39
Ashe has 17 cards and we still don't know how many Caleb has. Since we know that they have 39 cards together, we need to subtract Ashe's cards to find how many Caleb has
39-17=22
Let's check our work
Caleb has 22 cards
Ashe has 17 cards
Together they have 39
Which is 4 times less than how many cards Missy has
Missy has 156 cards
We are correct!
