The scatter plot has been attached
Answer:
Options C, D & E are true
Step-by-step explanation:
Option A is wrong because from the scatter plot, only four athletes were faster in the second race than in the first one.
Option B is wrong because only 1 athlete had his second race time differing from the first race time by exactly 2 seconds.
Option C is true because exactly 9 of the times for the first race were at least 16 seconds
Option D is true because there are exactly 3 athletes who had the same time in both races
Option E is true because 8 of the times for the second race were less than 17 seconds
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
7) • A straight line is 180 deg
• So B = 180-138 = 42 degrees
• Isosceles triangles have equal angles on the equal sides
• So G = 42 degrees
• We know a triangle has 180 degrees
• So 180 - 42 - 42 = 96 degrees for A
8) • Use similar logic to above
• TCB = 180 - 87 = 2x
• TCB = 46.5 degrees
• ACB = 180 - 65 = 2x
• ACB = 57.5 degrees
• TCB + ACB = ACT = 104 degrees
Answer:
The value of P-value is 0.0472.
Step-by-step explanation:
We are given that you take a simple random sample of 12 apartments in town A and calculate the average price of these apartments. You repeat this for 15 apartments in town B.
Let 
= <u><em>true average price of apartments in town A</em></u>
= <u><em>true average price of apartments in town B</em></u>
So, Null Hypothesis, 
: 
Alternate Hypothesis, 
: 
The test statistics that have been used here is <u>two-sample t-test statistics</u>, i.e;
The test statistics given to us is 2.1
Now, the P-value of the test statistics is given by the following formula;
P-value = P( 
> 2.1)
= P( 
> 2.1) = 0.0236
In two-tailed test, P-value is calculated as = 2 
0.0236 = <u>0.0472</u>
Hence, the value of the p-value is 0.0472.
