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2 years ago

What do I type in the yellow boxes?

Mathematics

2 answers:

PolarNik [594]2 years ago

8 0

Answer:

x=-2

Step-by-step explanation:

x= -b/2a

b=4

a=1

x=-4/2*1

x=-4/2

x=-2

belka [17]2 years ago

4 0

<h3>Given equation ⤵️</h3>

$\sf \longrightarrow \: y = {1x}^{2} + 4x + 2$

<h3>Where, </h3>

a = 1
b = 4
c = 2

<h3>Put the values in the formula </h3>

$\tt \dashrightarrow \: x = \frac{ - b}{2 \times a}$

$\sf \longrightarrow \: x = { \frac{ - 4}{2 \times 1}}$

$\sf \longrightarrow \: x = \frac{ - 4}{2}$

$\sf \longrightarrow \: x = - 2$

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Calculate the expected value of X, E(X), for the given probability distribution. E(X):_________

murzikaleks [220]

Answer:

The expected value of X, E(X), for the given probability distribution is 1.2

Step-by-step explanation:

Mathematical hope (also known as hope, expected value, population means or simply means) expresses the average value of a random phenomenon and is denoted as E(x).

Hope is the sum of the product of the probability of each event and the value of that event. That is, it is the sum of the probability of each possible event multiplied by the frequency of said process, this indicates that if you have a discrete quantitative variable X with "n" possible events x₁, x₂, x₃... xₙ and probabilities P (X = xi) = Pi the mathematical expectation is:

E(x)=x₁*P₁ + x₂*P₂ + x₃*P₃ + ... + xₙ*Pₙ

In this case:

E(x)=x₁*P₁ + x₂*P₂ + x₃*P₃ + x₄*P₄

Being:

x₁: 0
P₁: 0.5
x₂: 1
P₂:0.1
x₃:2
P₃:0.1
x₄: 3
P₄: 0.3

and replacing:

E(x)= 0* 0.5 + 1* 0.1 + 2*0.1 + 3*0.3

you get:

E(x)= 1.2

<u><em>The expected value of X, E(X), for the given probability distribution is 1.2</em></u>

7 0

3 years ago

How do you find the value of a triangle

Reptile [31]

Well the triangle equals 180 degrees so each side is 60

8 0

3 years ago

The Chambers family has a net monthly income of $6,500.

telo118 [61]

The new clothing budget is $161.

The original price is 361. If you reduce that by 200, it is 161.

8 0

3 years ago

80 hours of labor work 40 assistant 25 hr earn $22per hour 15 per hr. earn$10 how much labor

Vlada [557]

80 hr total
the assistants is not info
25 hr X $22 per = $500
15 hr X $10 = $150
$500 + $150 = $650
now for hr you have 80, you worked 25 + 15 = 40, 80 - 40 = 40
your answer is 40 --------------------------------------|^|
your welcome

6 0

4 years ago

By how many degrees did the direction of the boat change

gulaghasi [49]

Answer:

The boat turned <u>39°</u> degrees when it made its first turn.

Step-by-step explanation:

The question is as following:

A boat traveled north for 28 miles, then tuned x° south west and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.

By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.

===================================================

See the attached figure which represent explanation of the problem.

The boat start from point A to point B then stopped at point C

AB = 28 miles, BC = 25 miles and AC = 18 miles.

It is required to find the angle x

By applying the cosine Rule:

AC² = AB² + BC² - 2 * AB * BC * cos x

18² = 28² + 25² - 2 * 28 * 25 * cos x

2 * 28 * 25 * cos x = 28² + 25² - 18²

1400 cos x = 1085

Cos x = 1085/1400 = 0.775

x = Cos⁻¹ 0.775 = 39.2° = 39° to the nearest degree.

So, the boat turned <u>39°</u> degrees when it made its first turn.

8 0

3 years ago