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2 years ago

If side BC serves as the base, state the length

Mathematics

1 answer:

ExtremeBDS [4]2 years ago

6 0

Answer:

A building in a city has a rectangular base. The length of the base measures 75ft less than three times the width. The perimeter of this base isA building in a city has a rectangular base. The length of the base measures 75ft less than three times the width. The perimeter of this base is 890ft. What are the dimensions of the base? 890ft. What are the dimensions of the base?A building in a city has a rectangular base. The length of the base measures 75ft less than three times the width. The perimeter of this base is 890ft. What are the dimensions of the base?

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Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste

lidiya [134]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$ In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$ And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

For this case we have the following distribution given:

X 3 4 5 6

P(X) 0.07 0.4 0.25 0.28

We can calculate the mean with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74$

In order to find the variance we need to calculate first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36$

And the variance is given by:

$Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924$

And the deviation would be:

$Sd(X) =\sqrt{0.8924} =0.9447$

3 0

3 years ago

Find the surface area of this cube. Be sure to include the correct unit in your answer.

Alexxx [7]

Answer:

486 cm

Step-by-step explanation:

9×9=81

there are 6 faces

81×6=486

7 0

2 years ago

Help plz!!!!! will be gratefully appreciated

Morgarella [4.7K]

(A) is your answer

In this case, only rotational symmetry can work, with a turn of 180°

hope this helps

8 0

3 years ago

Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal

STatiana [176]

Note: You missed to add some of the details of the question.

Hence, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the right angled-triangle ABC as shown in the attached diagram

From the triangle:

Ф= ∠C = 30°

AB = 6 units

BC = y

tan Ф = opp ÷ adjacent

The opposite of ∠C = 30° is the length '6'.

The adjacent of ∠C = 30° is the length 'y'.

As Ф= ∠C = 30°

tan Ф = opp ÷ adjacent

tan 30 = 5 ÷ y

1 ÷ √3 = 5 ÷ y

y = 8.7 units

Therefore, the length of the unknown side length 'y' is 8.7 units.

7 0

2 years ago

Mrs. Smith took her bird to the vet. Tweety weighed 1 and 3/10 pounds. The vet said that Tweety weighed 4/10

Delvig [45]

Add 4/10 to the bird’s current weight of 1 an 3/10...you get 1 and 7/10 pounds
(or 1 7/10)

3 0

2 years ago