The only true statement is <em>"the orange 3 on the right is 1/10 of the value of the blue 3 on the left"</em>
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This question bothers on place values.
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Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).
We need to<u> check which of the statement is correct. </u>
For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;
Since 0.01≠0.3, hence the first option is wrong
For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;
0.01≠0.1, hence the second option is wrong.
The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place
The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;
Hence the only true statement is <em>"the orange 3 on the right is 1/10 of the value of the blue 3 on the left"</em>
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Learn more on place values here: brainly.com/question/627658
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Answer:
Mean=685
Variance=36.7
Step-by-step explanation:
The mean of uniform discrete distribution can be expressed as the average of the boundaries
mean=( b+a)/2
The variance of uniform discrete distribution can be expressed as the difference of the boundaries decreased by 1 and squared, decreased by 1 and divided by 12.
σ²=[(b-a+1)^2 - 1]/12
We were given the wavelength from from 675 to 695 nm which means
a= 675, b= 695
We can now calculate the mean by using the expresion below
mean=( b+a)/2
Mean=( 675 + 695)/2
=685
The variance can be calculated by using the expression below
σ²=[(b-a+1)^2 - 1]/12
σ²=[(695-675+1)^2 -1]/12
σ²=440/12
σ²=36.7
Therefore, the the mean and variance, of the wavelength distribution for this radiation are 685 and 36.7 respectively
The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.
<h3>What are Trigonometric functions?</h3>
The trigonometric function gives the ratio of different sides of a right-angle triangle.
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°) = 3√3 / x
x = 3√3 / 3
W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3 = 4√3 / 3
S) Sin(60°) = x / (10/3)
x = 5√3 / 3
Learn more about Trigonometric functions:
brainly.com/question/6904750
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<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
<u>Since this is an isosceles triangle, the base angles must be the same. Hence, </u><u>x = 66°.</u>
<u>Since we have found x, we can find y by using the 180-angle method.</u>
- => y + 66 + 66 = 180
- => y + 132 = 180
- => y = 180 - 132
- => y = 48°
<h3><u>Conclusion:</u></h3>
Therefore, the answers are:
Hoped this helped.
Answer:
the answer is a
Step-by-step explanation:
