Response:
The cost incurred by Patty's Printing is $20 less than that of Guy's Graphix for 20 jerseys.
Detailed breakdown:
1st. Calculate the total expense for Guy's Graphix: (7.50*20)+30=$180
2nd. Calculate the total expense for Patty's Printing: (5.50*20)+50=$160
3rd. Subtract to verify the outcome: 180-160=$20
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%.
Solution:
[(2x² + 5x) + (4x² – 4x)] + 5x³ =
(2x² + 5x) + [(4x² – 4x) + 5x³]
Step-by-step breakdown:
Answer: the factored form is (4x+8)(x-9)
Step-by-step explanation:
To determine the missing angle of P, which measures 30 degrees, angle P and C are congruent since they are identical. The longest side, the hypotenuse, is PC, corresponding to angle T. Utilizing the Pythagorean Theorem, a² + b² = c², we find (PT)² + (CT)² = (PC)². Knowing that PT equals 4 and since PT and CT are congruent, we can restate it as (4)² + (4)² = (PC)², leading to PC being equal to rad(32). Could someone please confirm?
