Answer:
W=5
Step-by-step explanation:
40+4w=12w
-4w -4w
40= 8w
÷8 ÷8
5=w
Answer:
2 x 4 =8
Step-by-step explanation:
<span>1. </span>When given a raw score, it must be converted
into a z-score (standard score). Raw scores cannot be placed on a normal
distribution curve because they do not have the same means and standard
deviations, but when it is converted into a z-score, the number of standard
deviations above or below the population mean can be measured. The z-scores on
the center are average, the scores on the left are lower than average and the
scores on the right are higher than average.
<span>2. </span>A z-score is a standard score which can be
placed on a normal distribution curve. A z-score indicates the distance of the
standard deviations from the mean (center of the curve).
The simple interest formula is A = P(1 + rt) in which A is the total of money after interest, P is your principal (starting) amount, r is the interest rate, and t is the amount of time.
For 1), plug in your variables to get A = 1500(1 + (7/100*1.5)). Simplify, and you'll get A = 1500*1.105, and finally your answer, $1,657.50.
<span>For 2), add your interest and principal amount, then plug in your variables to get 676 = 520(1 + 5r). Distribute to get 676 = 520 + 2600r. Subtract 520 from 676 to get 156 = 2600r, then divide both sides by 2600 to get a rate of 0.06, or 6%.
For 3), add your interest and principal amount, then plug in your variables to get 1599 = 1300(1 + 5.75t). Distribute to get 1599 = 1300 + 7475t. Subtract 1300 from both sides to get 299 = 7475t, and then divide both sides by 7475 to get .04 = t, or a time period of four years.
The other two problems can be solved using the formula and steps described above. If you still need help with them, leave a comment and I will solve those as well. </span>
Quadrilaterals are shapes with 4 sides. The correct inequality expression is x < 11
<h3>What are quadrilaterals?</h3>
Quadrilaterals are shapes with 4 sides. The given figure is a quadrilateral. The side opposite to 68 degrees is greater than the side opposite 32 degrees to have the equation;
11x - 33 < 77
Add 33 to both sides
11x - 33 + 33 < 77 + 33
11x <110
x < 110/10
x< 11
Hence the correct inequality expression is x < 11
Learn more on inequality here: brainly.com/question/24372553
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