Answer:
The National Academy of Sciences has established the Acceptable Macronutrient Distribution Range (AMDR), which are dietary guidelines regarding the acceptable range of certain nutrients (such as fat, carbohydrates and protein) in our everyday diet. According to the AMDR, 45-65% of our everyday calorie intake should come from carbohydrates. Therefore, 1125 [(2500*45)/100] to 1625 [(2500*65)/100] kilocalories should come from carbohydrates.
Step-by-step explanation:
1. sqrt(98) = 7 sqrt(2)
2. sqrt(y^6) = y^3
3. sqrt(a^7) = a^7/2
4. sqrt(12x^3y^2) = 2xy sqrt(3x)
5. sqrt(36x^2y^4) = 6xy^2
6. sqrt(48ab^3) = 4b sqrt(3ab)
7. sqrt(10a^5b^2) = a^2b sqrt(10a)
8. sqrt(20x^3y^10 = 2xy^5 sqrt(5x)
There are a total of 8 balls
The probability of drawing a white ball is 4/8 on the first draw.
If you replace the ball then the probability will still be 4/8 for a white ball, since these events are independent of each other you multiply 4/8 x 4/8 = 16/64 or 1/4 then the probability of drawing at least 1 red ball with replacement is 1 - 1/4 = 3/4
Now without replacement:
the probability of drawing a white ball is 4/8 since you don't replace the ball then the probability of drawing a white ball the second time is 3/7 again multiply these two probabilities: 4/8 x 3/7 = 12/56 the the probability of drawing at least 1 red ball is 1- 12/56 = 44/56 or 11/14
Answer:
5
Step-by-step explanation:
16 + 11x = 71
16 + -16 + 11x = 71 + -16
16 + -16 = 0
0 + 11x = 71 + -16
11x = 71 + -16
11x = 55
x = 5
The expression that must be true for a to be parallel to b are mAngle2 = 58Degrees and <1 = 4x - 10
<h3>Lines and angles</h3>
A line is the shortest distance between two points and the point where two lines meet is known as an angle
From the figure shown
m<2 = 58 degrees (alternate exterior angle)
Since the sum of angles on a straight line is 180 degrees, hence;
3x-1+<2 + 4x - 10= 180
3x-1 + 58 + 4x - 10 =180
7x + 47 = 180
7x = 180- 47
7x = 133
x = 19
Hence the expression that must be true for a to be parallel to b are mAngle2 = 58Degrees and <1 = 4x - 10
Learn more on lines and angles here; brainly.com/question/25770607
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