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goldfiish [28.3K]

3 years ago

8

What value of y will make equal to 2.45?

1 answer:

vagabundo [1.1K]3 years ago

7 0

Any value of y, except when y=-4.9, will make the expression equal to 2.45.

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The area of the isosceles triangle is 44 square centimeters. Use the Equation 1/2(8h)=44 to find the height of the triangle.

patriot [66]

area of the issoceles triangle = 44 cm²

or, 1/2 (8h) = 44

or, 8h = 2*44

or, h = 88/8

therefore, h = 11cm

8 0

4 years ago

Read 2 more answers

The number of hurricanes that will hit a certain house in the next ten years is Poisson distributed with mean 4. Each hurricane

bulgar [2K]

Answer:

The variance of total loss is 8000000

Step-by-step explanation:

Let

$X \to$ Number of hurricane

Poisson $E(X) = 4$

$Y \to$ Loss in each hurricane

Exponential $E(Y) = 1000$

$T \to$ Total Loss

Required

The variance of the total loss

This is calculated as:

$Var(T) = Var(E(T|X)) + E(Var(T|X))$

Where:

$E(T|X) \to$ Expected total loss given X hurricanes

And it is calculated as:

$E(T|X) = E(Y) *N$ --- Expected Loss in each hurricane * number of loss

$Var(T|X) \to$ Variance of total loss given X hurricanes

And it is calculated as:

$Var(T|X) = Var(Y) * N$ ---- --- Variance of loss in each hurricane * number of loss

So, we have:

$Var(T) = Var(E(T|X)) + E(Var(T|X))$

$Var(T) = Var(E(Y) * N) + E(Var(Y) * N)$

For exponential distribution;

$Var(Y) = E(Y)^2$

So, we have:

$Var(T) = Var(E(Y) * X) + E(E(Y)^2 * X)$

Substitute values

$Var(T) = Var(1000 * X) + E(1000^2 * X)$

Simplify:

$Var(T) = Var(1000 * X) + 1000^2E(X)$

Using variance formula, we have:

$Var(T) = 1000^2Var(X) + 1000^2E(X)$

For poission distribution:

$Var(X) = E(X)$

So, we have:

$Var(X) = E(X) = 4$

The expression becomes:

$Var(T) = 1000^2*4 + 1000^2*4$

$Var(T) = 1000000*4 + 1000000*4$

$Var(T) = 4000000 + 4000000$

$Var(T) = 8000000$

3 0

3 years ago

Recursive formula for a geometric sequence with a starting value of 8 and a common ratio of 5

bekas [8.4K]

8 16 34 32 40 40 is the answer

8 0

3 years ago

How to solve this problem

nevsk [136]

Let C be the center of the circle. The measure of arc VSU is $2+114x$ , so the measure of the minor arc VU is $360-(2+114x)=358-114x$ . The central angle VCU also has measure $358-114x$ .

Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so

$m\angle VCU+2m\angle CUV=180$

$\implies m\angle CUV=\dfrac{180-(358-114x)}2=57x-89$

UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so

$(57x-89)+(31x+3)=90$

$\implies88x=176$

$\implies x=2$

So finally,

$m\widehat{VSU}=2+114\cdot2=230$

degrees.

6 0

3 years ago

Of 120 hotel rooms rented one night, some were suites rented for $115 each and the rest were double rooms rented for $85 each. I

ser-zykov [4K]

Answer: A) 23

Step-by-step explanation:

Let x represent the number of suites that were rented.

Let y represent the number of double rooms that were rented.

The total number of rooms that were rented is 120. It means that

x + y = 120

some were suites rented for $115 each and the rest were double rooms rented for $85 each. If the total revenue from the room rentals for this night was $10,890, it means that

115x + 85y = 10890 - - - - - - - - -1

Substituting x = 120 - y into equation 1, it becomes

115(120 - y) + 85y = 10890

13800 - 115y + 85y = 10890

- 115y + 85y = 10890 - 13800

- 30y = - 2910

y = - 2910/-30

y = 97

x = 120 - y = 120 - 97

x = 23

5 0

3 years ago