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DerKrebs [107]
2 years ago
5

A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the result

s and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?
Probability Distribution
Hours Studied: X
Probability: P(X)
0.5
0.07
1
0.2
1.5
0.46
2
0.2
2.5
0.07
Mathematics
2 answers:
irina1246 [14]2 years ago
5 0

Answer:1.50

Step-by-step explanation:None

Stels [109]2 years ago
4 0

Answer: the answer is d

Step-by-step explanation:

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The Hobbits are building a watchtower so they can prepare to battle in case trolls decide to attack them. One Hobbit will always
Kay [80]

Answer:

An explicit expression is equal to 3m/8

Step-by-step explanation:

we know that

Function T gives the time the Hobbits have to prepare for the attack, T(k), in minutes, as a function of troll's distance, k, in meters

so

T(k)=\frac{k}{80}

Function V gives visibility from the watchtower, V(m), in meters, as a function of the height of the watchtower, m, in meters

so

V(m)=50m

Find the composite figure T(V(m))

That will give the time the Hobbits have to prepare for the troll attack as a function of the height, m, of the watchtower

Substitute the variable k in the function T by the function V(m)

T(V(m))=\frac{50m}{80}

simplify

T(V(m))=\frac{5m}{8}

therefore

An explicit expression is equal to 3m/8

5 0
2 years ago
Which shapes have exactly one line of symmetry?
Aleksandr [31]

Answer:

D.

Step-by-step explanation:

5 0
2 years ago
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What are the cubic units? Pleaseee
Ray Of Light [21]

Answer: pls mark me brainiest

Step-by-step explanation:

I am very sure that the answer is V≈351.86

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Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the r
iris [78.8K]
If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²

If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in

The height is 9.6 in.
3 0
3 years ago
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