Based on the coordinates of triangle RST, we can infer that triangle RST is <u>not a right-angled triangle. </u>
<h3>Is triangle RST a right-angled triangle?</h3>
For this to be a right-angled triangle, the Pythagoras theorem has to apply where:
Largest side² = Side A² + Side B²
Lengths of the triangle:
RS² = (4 - 2)² + (4 - 3)²
= 5
ST² = (5 - 4)² + (0 - 9)²
= 17
TR² = (2 - 5)² + (3 - 0)²
= 18
We can see that:
18 ≠ 17 + 5
This is therefore not a right-angled triangle.
Find out more on the Pythagoras theorem at brainly.com/question/343682.
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Answer:360/90 = 4
Total area = 4 times that of the sector.
Step-by-step explanation:
A 90 deg sector has 1/4 the area of the circle.
Total circle area = 4*9pi = 36pi
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
The length of each interval would be 3.75 rounding to whole number is 4.
Step-by-step explanation:
- Stack in excel from lowest to highest points.
- Total number of data points are 14.
- Frequency distribution to be created.
- You can use countif function for frequency distribution.
- Since we have already got the number of intervals.
- It will be easier to calculate the number if intervals.
- normally there should be 5-15 intervals to get a better histogram.
- Basic formula is Highest data point - Lowest data point/ classes/intervals.
- So (29-14)/4 = 3.75 rounding to 4.
Answer:
h=18
Step-by-step explanation:
