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3 years ago

Is the expression 7 (6x-8y) equal to 42x-56y

Mathematics

2 answers:

Marrrta [24]3 years ago

5 0

Yes! The 7 distributed to both parts of what's in the parentheses gives you that answer!

Bond [772]3 years ago

3 0

Yes☺
you are right 7 times 6 is 42 and 7 times. 8 is 56

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Find a formula for the described function. Express the surface area of a cube as a function of its volume v.

Digiron [165]

Let the side of the cube=a

So the volume will be=V=a³

Then surface area of the cube will be=6a²= $\frac{6a^3}{a}$ = $\frac{6V}{a}$

The above expression showing surface area as a function of Volume. (Answer)

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3 years ago

Answer please this question

damaskus [11]

Answer:

p = 4√5

Step-by-step explanation:

To solve for P, we can use the Pythagorean theorem.

a²+b²=c²

(8)²+(p)²=12²

64+p²=144

p²=80

√p=√80

p = 4√5

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3 years ago

wich one of tye following items would be most likely to have a list of chapter tittles A. a newspaper B. Anovel C .Amagazine D.A

melisa1 [442]

Probably a novel bc of the table of contents

7 0

3 years ago

The lifetime, in years, of some electronic component is a continuous random variable with the density f(x) =   k x4 for x ≥ 1

yuradex [85]

I suppose the density is supposed to be

$f(x)=\begin{cases}\frac k{x^4}&\text{for }x\ge1\\0&\text{otherwise}\end{cases}$

(since $kx^4$ diverges as $x\to\infty$ , and 0 is conveniently left out of the domain)

For this to be a proper density function, it must be positive (it is) and its integral over the support $[1,\infty)$ must evaluate to 1. We have

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_1^\infty\frac k{x^4}\,\mathrm dx=-\frac k{3x^3}\bigg|_1^\infty=\frac k3=1$

which means $k=3$ .

The distribution function is obtained by integrating the density:

$F(x)=\displaystyle\int_{-\infty}^xf(t)\,\mathrm dt=\begin{cases}0&\text{for }x$

The probability that the component exceeds 2 years in its lifetime is

$P(X>2)=1-P(X\le 2)=1-F(2)=1-\left(1-\dfrac18\right)=\dfrac18$

3 0

3 years ago

= The average score of Karl's first four math tests is 72 points. After the fifth and the sixth tests, his average score increas

mylen [45]

Answer:

83 points

Step-by-step explanation:

-The formula for average is given as:

$\bar X=\frac{1}{n}\sum{x_i}\\\\x_i=Individual \ Test \ scores\\n=number \ of \ scores$

Let a be his 5th score and (a+4) of the 6th

#We subtract the sum of the first 4 tests from the 6, to get the sum of the 5th and 6th tests:

$(6^{th}+5^{th})=\bar X n_6-\bar X n_4\\\\=75\times 6-72\times 4\\\\=162$

#We substitute for the 5th and 6th to solve a:

$5^{th}=a\\6^{th}=a+4\\\\a+(a+4)=162\\\\2a=158\\\\a=79\\\\6^{th}=a+4=79+4=83$

Hence, Karl score 83 points in his 6th test.

5 0

3 years ago