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2 years ago

Solve the following inequality 2x + 1 < 5

Mathematics

2 answers:

earnstyle [38]2 years ago

6 0

Answer:

x <2

Step-by-step explanation:

2x + 1 < 5

Subtract 1 from each side

2x + 1-1 < 5-1

2x< 4

Divide each side by 2

2x/2 <4/2

x <2

slamgirl [31]2 years ago

3 0

Answer:

x < 2

Step-by-step explanation:

2x+1<5

subtract 1 from 1 and 5

2x<4

Now divide by 2

x<2

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2 years ago

A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey

Lubov Fominskaja [6]

Answer:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

Step-by-step explanation:

For this case we have the following distribution given:

X 0 1 2 3 4 5 6

P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02

For this case we need to find first the expected value given by:

$E(X) = \sum_{i=1}^n X_i P(X_I)$

And replacing we got:

$E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61$

Now we can find the second moment given by:

$E(X^2) =\sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97$

And the variance would be given by:

$Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779$

And the deviation would be:

$Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54$

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3 years ago

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vaieri [72.5K]

Translation
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3 years ago

Original Problem: 6x−10+4x−6=14x+20+4

HACTEHA [7]

Answer: x=-10

Step-by-step explanation:

7 0

1 year ago

Cuál es el resultado de |-15| x (-5)

notka56 [123]

Answer:

$\frac{15}{x^5}$

Step-by-step explanation:

$\left|-15\right|x^{-5}$

Step 1: Apply exponent rule: $\:a^{-b}=\frac{1}{a^b}$

$=\left|-15\right|\frac{1}{x^5}$

Step 2: Multiply fractions: $a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=\frac{1\cdot \left|-15\right|}{x^5}$

Step 3: Simplify

$=\frac{15}{x^5}$

The result is $=\frac{15}{x^5}$

<u>Spanish/Espanól</u>

Respuesta:

$\frac{15}{x^5}$

Explicación paso a paso:

$\left|-15\right|x^{-5}$

Paso 1: aplique la regla del exponente: $\:a^{-b}=\frac{1}{a^b}$

$=\left|-15\right|\frac{1}{x^5}$

Paso 2: multiplica fracciones: $a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=\frac{1\cdot \left|-15\right|}{x^5}$

Paso 3: simplifica

$=\frac{15}{x^5}$

El resultado es $=\frac{15}{x^5}$

7 0

3 years ago