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zimovet [89]
3 years ago
8

Use the distributive property to factor the expression.

Mathematics
1 answer:
masya89 [10]3 years ago
4 0

Answer: The answer you are looking for is A.

Step-by-step explanation:

Simplifying

15xz + 21yz

Factor out the Greatest Common Factor (GCF), '3z'.

3z(5x + 7y)

Final result:

3z(5x + 7y)

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El 10% de los huevos de un supermercado están rotos, haya la probabilidad de que un cliente que compra media docena de huevos en
crimeas [40]

Answer:  

La probabilidad de encontrar como mucho un huevo roto es 0,8857.

             

Step-by-step explanation:  

Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:

P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x}

En donde:

p: es la probablidad de encontrar huevos rotos = 10% = 0,1      

x: es el número de éxitos

n: es el número de ensayos = 6 (media docena de huevos)

Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:

P = P(0) + P(1)

P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857

Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.

Espero que te sea de utilidad!                                                                                                                                                                                            

5 0
3 years ago
How do you solve f-3/4=5/6?
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Answer:

f =38

Step-by-step explanation:

f-3/4=5/6

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f =20+18

f =38

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2 years ago
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The two values are positive 9 and negative 9
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What is the slope of the line that passes through the pair of points? (-5.5, 6.1), (-2.5, 3.1)
Sedbober [7]
The answer is A because slope is equal to the<span> change in </span>y<span> over the change in </span>x. Substitute in the values of x and y into the equation to find the slope.<span>m=<span><span><span>3.1−<span>(6.1)/</span></span><span>−2.5−<span>(−5.5)</span></span></span></span></span>
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Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te
motikmotik

Given:

There are given that the cos function:

cos210^{\circ}=-\frac{\sqrt{3}}{2}

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}

Then,

Put the value of cos210 degrees into the above function:

So,

\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}

Final answer:

Hence, the value of the cos(105) is shown below:

cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}

4 0
1 year ago
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