Response:
Jack's weight on the moon will be 26.52 pounds
Step-by-step explanation:
x = 156 (Weight on Earth)
y = 0.17 (Moon's gravity)
z = Your weight on the moon
x * y = z
156 * 0.17 = 26.52
Jack will weigh 26.52 pounds.
The average calorie count for chocolate pie pieces at a dining establishment is 350, with a standard deviation of 20. Due to imprecise pie slicing, calorie distribution follows a Normal distribution. What graph illustrates the percentage of pie pieces exceeding 375 calories? The z score is utilized to assess the number of standard deviations the raw score is from the mean. A positive z score indicates the raw score is higher than the mean, while a negative z score implies it is lower. The z score formula is: Given μ = 350 calories, σ = 20 calories, x > 375. The shaded portion of the graph indicates the proportion of pie pieces containing more than 375 calories. According to the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056 = 10.56%.
Step-by-step explanation:
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The slope-intercept form of a linear equation is presented as y = mx + b, where x and y denote coordinates of an ordered pair, m represents the slope, and b indicates the y-intercept. Our objective is to isolate m. Initially, we will eliminate 'b' from both sides. Next, we will reposition the terms accordingly and finally divide both sides by x. Thus, we conclude that m equals the calculated value.
Answer:
Sarah purchased 2 drinks and 6 candies.
Step-by-step explanation:
Let
x ----> the quantity of drinks Sarah bought.
y ----> the number of candies acquired by Sarah.
We know that
the total spent on drinks and candies was $35.50
therefore,
-----> equation A
She bought 3 times more candies compared to drinks.
thus,
-----> equation B
To resolve the equations graphically
The solution lies at the intersection of the two graphs
utilizing a graphing tool
The result is the coordinate (2,6)
therefore,
Sarah bought 2 drinks and 6 candies.
