Answer:
Step-by-step explanation:
z-score representing 85% is 1.04 (from table)
Let x be the score representing the lower limit of 85%.
<u>Use the formula to find z-scores:</u>
<u>We have:</u>
<u>Substitute the values and solve for x:</u>
- 1.04 = (x - 78)/7
- x - 78 = 7.28
- x = 85.28
The lower limit of the top 15% is 85.28.
Since your score is greater than 85.28 you earned an A
If the slope is 6/11 then, in y=mx+b form, m will be 6/11. When you multiply 6/11 and -1 you get -6/11. To get the y (-6), you have to add -60/11. So in, y=mx+b form the equation is y=6/11x+(-60/11). To make it standard form, you add negative 6/11x to both sides and then multiply by 11 to get rid of the fractions. So therefore the equation would be:
-6x + 11y = - 60
Answer:
one large box equals 15.75<em>kg</em>
one small box equals 13.75<em>kg</em>
Step-by-step explanation:
First, identify your variables:
Let "l" represent the weight of one large box.
Let"s" represent the weight of one small box.
Then, stack the two equations on top of each other:

Next, multiply the first equation by 3 so we can use elimination of the "s" variable to find the "l" variable first:

Now, subtract the two equations to cancel out the s-variable and find the l-variable:

Then, substitute your l-variable in the original first equation to find the s-variable:

With all the information that is collected, you find that one large box weighs 15.75<em>kg</em> and one small box weighs 13.75<em>kg</em>.
Answer:
Part A)

Part B)

Step-by-step explanation:
We know that the rectangle has a length of (x+5) and a width of 12 cm.
Part A)
Remember the formula for the perimeter of a rectangle:

We know that the perimeter is 86. Substitute that for P:

Substitute (x+5) for the length l and 17 for w. So:

We can simplify this to acquire our equation:

Part B)
To find the length, let's find our x first. We have the equation:

Divide both sides by 2:

Now, subtract 22 from both sides. Therefore, our x is:

To find the length, remember that the length is:

Since we now know the value of x, substitute 21 for x:

Add:

So, the length is 26 centimeters.
And we're done!