Answer:
To give more clarity to the question, lets examine the attached back-to-back stem plot.
A)
Having examined the stem plot, we can using quick calculations, summarize that:
The mean (40.45 cal/kg) and median (41 cal/kg) daily caloric intake of ninth-grade students in the rural school is higher than the corresponding measures of center, mean (32.6 cal/kg) and median (32 cal/kg), for ninth-graders in the urban school.
The median and the mean for the students in the 9th grade in the urban school is lower than that of those of their contemporaries in the rural school. The respective medians and means are stated below:
Urban 9th Grade Students
Median = 32 cal/kg
Mean = 36 cal/kg
Rural 9th Grade Students
Median = 41 cal/kg
Mean = 41 cal/kg
Please note that all figures above have been approximated to the nearest whole number.
B)
It is unreasonable to generalize the findings of this study to all rural and urban 9th-grade students in the United States because the sample is too small compared to the target population size.
To allow for generalization, they would have to collect and analyze more samples say from every state within America.
Cheers!
Answer:
a. 3(mod 23)
bi d=31 (mod 72)
ii c = 4
iii m = 4
Step-by-step explanation:
Check the attached file for step by step solution
try to open the image in a new tap if the letters appear small
or if is not clear
Write an equation based on the problem in the terms of x and solve the equation
first number + second number + third number = 240
x + x + 1 + x + 2 = 240
3x + 3 = 240
3x = 240 - 3
3x = 237
x = 237/3
x = 79
The smallest number, x, is equal to 79
Find the next two numbers
the second number = x + 1
the second number = 79 + 1
the second number = 80
the third number = x + 2
the third number = 79 + 2
the third number = 81
ANSWER: The three numbers are 79, 80, 81
Answer:
d. -7/25
Step-by-step explanation:
π<θ<3π/2 in third quadrant
tanθ = 4/3
sinθ = - 4/5
cosθ = - 3/5
cos 2θ = cos²θ - sin²θ = (- 3/5)² - (- 4/5)² = 9/25 - 16/25 = - 7/25
Answer:
A) Length = 110.4 mm and width = 62.1 mm
B) A = 6855.84 mm²
C) length = 114.7 mm
width = 55.8 mm
Area = 6400.26 mm²
D) Screen with aspect ratio of 16:9 is bigger
Step-by-step explanation:
A) We are told that the aspect ratio of the phone screen = 16:9. This means that the ratio of the length to the width of the screen is 16:9.
To find the side length, we will say that;
length = 16x
width = 9x
Thus, since the edges are perpendicular, then we can use pythagoras theorem since we know that the diagonal is 127 mm
Thus;
(16x)² + (9x²)] = 127²
256x² + 81x² = 16129
337x² = 16129
x² = 16129/337
x = √(16129/337)
x = 6.9
Thus;
length = 16x = 16 × 6.9 = 110.4 mm
width = 9x = 9 × 6.9 = 62.1 mm
Length = 110.4 mm and width = 62.1 mm
B) area of screen is;
A = length × width
A = 110.4 × 62.1
A = 6855.84 mm²
C) We are told that the aspect ratio is now 18.5:9.
Thus;
length = 18.5x
width = 9x
Thus;
(18.5x)² + (9x²)] = 127²
342.25x² + 81x² = 16129
423.25x² = 16129
x² = 16129/423.25
x = √(16129/423.25)
x = 6.2
length = 18.5x = 18.5 × 6.2 = 114.7 mm
width = 9x = 9 × 6.2 = 55.8 mm
Area = 114.7 × 55.8 = 6400.26 mm²
D) Screen with aspect ratio of 16:9 is bigger
