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Rainbow [258]
2 years ago
14

Need help with this. Please

Mathematics
1 answer:
labwork [276]2 years ago
5 0
Triangle SUT is an isosceles triangle and you can prove this by a geometric proof.
We can set SU = ST.
2x + 11 = 11x - 16

Solve for x:
9x = 27
x = 3
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Suppose X has a continuous uniform distribution over the interval [1.3, 6.2]. Round your answers to 3 decimal places.
goldenfox [79]

Answer:

(a) 3.75

(b) 2.00083

(c) 0.4898

Step-by-step explanation:

It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].

(a)

Compute the mean of X as follows:

\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75

(b)

Compute the variance of X as follows:

\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083

(c)

Compute the value of P(X < 3.7) as follows:

P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898

Thus, the value of P(X < 3.7)  is 0.4898.

5 0
2 years ago
Twelve dogs and cats receive 77 biscuits.
Andrews [41]

Answer:

6 dogs are there who ate the biscuits

8 0
2 years ago
Read 2 more answers
What is the equation of a line that passes through (-2,1) and is parallel to y=3x-4
Rama09 [41]
If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.

To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:

y - y1 = m(x - x1)

plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.

y - 1 = 3(x +2) Use distributive property for right side of equation

y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y

Equation of line: y = 3x + 7


3 0
3 years ago
The first class had a kids in it, the second had b kids in it, and the third class had c kids in it. Kids from all three classes
kramer
(a+b+c)/2. this is your answer. if it had the numbers i would solve it fully, but it only has variables.
3 0
3 years ago
Read 2 more answers
Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in or
kherson [118]

Answer:

5/6, 7

Step-by-step explanation:

3 0
3 years ago
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