All categories

2 years ago

- 6 (1+3)= Propiedad distributiva

1 answer:

4 0

Hi! So what you’re gonna do is multiple everything in the parentheses by what is in front of the parentheses. In this case it is -6!

-6•1=-6
-6•3=-18

-6+-18=-24

Please give brainliest!

You might be interested in

How many tenths would you need to make the number 17

tatyana61 [14]

You would need one because you arent yet to 20 so it takes one tenth for example;

1.7 or 7/10

Thats my guess tho man if it is more complicated than that, SORRRYYYY

6 0

3 years ago

The quantity of 6 less than a number multiplied by 8

Bas_tet [7]

6x-6=8x

subtract 6x from both sides

-6=2x

divide both sides by 2

x= -3

5 0

3 years ago

In October of 2012, Apple introduced a much smaller variant of the Apple iPad, known at the iPad Mini. Weighing less than 11 oun

sveticcg [70]

Answer:

a. $f_X(x) = \dfrac{1}{3.5}8.5$

b. the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286 which is about 42.86%

c. the probability that the battery life for an iPad Mini will be at least 11 hours is 0.2857 which is about 28.57 %

d. the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours is 0.5714 which is about 57.14%

e. 86 should have a battery life of at least 9 hours

Step-by-step explanation:

From the given information;

Let X represent the continuous random variable with uniform distribution U (A, B) . Therefore the probability density function can now be determined as :

$f_X(x) = \dfrac{1}{B-A}A$

where A and B are the two parameters of the uniform distribution

From the question;

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours

So; Let A = 8,5 and B = 12

Therefore; the mathematical expression for the probability density function of battery life is :

$f_X(x) = \dfrac{1}{12-8.5}8.5$

$f_X(x) = \dfrac{1}{3.5}8.5$

b. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

The probability that the battery life for an iPad Mini will be 10 hours or less can be calculated as:

F(x) = P(X ≤x)

$F(x) = \dfrac{x-A}{B-A}$

$F(10) = \dfrac{10-8.5}{12-8.5}$

F(10) = 0.4286

the probability that the battery life for an iPad Mini will be 10 hours or less is 0.4286 which is about 42.86%

c. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

The battery life for an iPad Mini will be at least 11 hours is calculated as follows:

$P(X\geq11) = \int\limits^{12}_{11} {\dfrac{1}{3.5}} \, dx$

$P(X\geq11) = {\dfrac{1}{3.5}} (x)^{12}_{11}$

$P(X\geq11) = {\dfrac{1}{3.5}} (12-11)$

$P(X\geq11) = {\dfrac{1}{3.5}} (1)$

$P(X\geq11) = 0.2857$

the probability that the battery life for an iPad Mini will be at least 11 hours is 0.2857 which is about 28.57 %

d. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

$P(9.5 \leq X\leq11.5) =\int\limits^{11.5}_{9.5} {\dfrac{1}{3.5}} \, dx$

$P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} \, (x)^{11.5}_{9.5}$

$P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} (11.5-9.5)$

$P(9.5 \leq X\leq11.5) ={\dfrac{1}{3.5}} (2)$

$P(9.5 \leq X\leq11.5) =0.2857* (2)$

$P(9.5 \leq X\leq11.5) =0.5714$

Hence; the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours is 0.5714 which is about 57.14%

e. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

The probability that battery life of at least 9 hours is calculated as:

$P(X \geq 9) = \int\limits^{12}_{9} {\dfrac{1}{3.5}} \, dx$

$P(X \geq 9) = {\dfrac{1}{3.5}}(x)^{12}_{9}$

$P(X \geq 9) = {\dfrac{1}{3.5}}(12-9)$

$P(X \geq 9) = {\dfrac{1}{3.5}}(3)$

$P(X \geq 9) = 0.2857*}(3)$

$P(X \geq 9) = 0.8571$

NOW; The Number of iPad that should have a battery life of at least 9 hours is calculated as:

n = 100(0.8571)

n = 85.71

n ≅ 86

Thus , 86 should have a battery life of at least 9 hours

3 0

3 years ago

If you shift the linear parent function, f(x) = x, up 6 units, what is the equation of the new function?

Annette [7]

To solve this problem you must apply the proccedure shown below:

1. You have the following parent function given in the problem above: $f(x)=x$

2. If you want to shift this parent function up six units, you only have the add a $6$ , then, you will obtain the following new function:

$g(x)=x+6$

Therefore, as you can see, the answer is: $g(x)=x+6$

5 0

3 years ago

Hey!

noname [10]

Answer:

A. Cylinder + cone

Volume is the sum of volumes:

V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³

Surface area of cone:

A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²

Surface area of cylinder minus bases:

A = 2πrh₂ = 2π*9*120 = 6785.8 cm²

Total surface area:

678.6 + 6785.8 = 7464.4 cm²

-------------------------------------------------

B. Cube+ pyramid

Volume:

V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³

Surface area of pyramid:

A = a² + 2al = 8² + 2*8*10 = 224 cm²

Surface area of cube minus bases:

A = 4a² = 4(8²) = 256 cm²

Total surface area:

A = 224 + 256 = 480 cm²

5 0

3 years ago