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4 years ago

15

12 students have an equally likely chance of being selected in a drawing at school Edo girls and four boys what is the probabili

ty that a boy will be selected

1 answer:

STALIN [3.7K]4 years ago

8 0

Answer:

1/3

Step-by-step explanation:

Total no of boys = 4

Total no of students = 12

Prob. = no of boys / Total no of students

= 4/12 = 1/3

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Janet received the following grades in an accounting class at McClenan Community College: 65, 80, 70, 100, 75, and 90. The instr

Agata [3.3K]

70+75+80+90+100=415
415/5=83
<span>After the lowest grade is dropped, Janet's average would be an 83%</span>

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3 years ago

Four bakers used the following amounts of flour and sugar in their favorite cake recipe. Which bakers use the same flour to suga

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[6:4 is the same as 3:2]

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4 years ago

(2x3z2)3 <br> ------------------ <br> x3y4z2 * (x-4z3)

Komok [63]

The rules of exponents tell you to add exponents in the numerator and subtract those in the denominator. A power of a power causes the exponent to be multiplied.

$\dfrac{(2x^{3}z^{2})^{3}}{x^{3}y^{4}z^2x^{-4}z^{3}}=2^{3}x^{(3\cdot3-3-(-4))}y^{-4}z^{(2\cdot3-2-3)}\\\\=\dfrac{8x^{10}z}{y^{4}}$

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4 years ago

If sin ⁡x=725, and 0 ∠ x ∠ pi/2, what is the tan (x - pi/4)

krok68 [10]

$Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

<u>Step-by-step explanation:</u>

Here we have , sin ⁡x=7/25( given sin x = 725 which is not possible ) , $0$ . Let's find tan (x - pi/4):

⇒ $Tanx = \frac{sinx}{cosx}$

⇒ $Tanx = \frac{sinx}{\sqrt{1-(sinx)^{2}}}$

⇒ $Tanx = \frac{\frac{7}{25}}{\sqrt{1-(\frac{7}{25})^{2}}}$

⇒ $Tanx = {\frac{7}{25}}{\sqrt{(\frac{625}{625-49})^{}}}$

⇒ $Tanx = {\frac{7}{25}}(\frac{25}{24} )$

⇒ $Tanx = {\frac{7}{24}}$

Now , $Tan(x-\frac{\pi }{4}) = \frac{Tanx - Tan(\frac{\pi }{4} )}{1+ Tanx(Tan(\frac{\pi }{4} )}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{Tanx -1}{1+ Tanx(1)}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7}{24} -1}{1+\frac{7}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7-24}{24} }{\frac{7+24}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{24} (\frac{24}{31} )$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

7 0

4 years ago

What is the domain of the ordered pairs?

BigorU [14]

Answer:

b. {-3, -1, 2}

Step-by-step explanation:

An <u>ordered pair</u> is a pair of elements written as (x, y) where the first element is the input value and the second element is the output value.

The <u>domain</u> is the set of input values (x-values)

The <u>range</u> is the set of output values (y-values)

Therefore, for the given ordered pairs (-1, 0), (2, 4) and (-3, 6)

Domain: {-3, -1, 2}

Range: {0, 4, 6}

3 0

2 years ago