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nexus9112 [7]
3 years ago
8

K-2k=15+1+6k-2 help me

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
K - 2k = 15 + 1 + 6k - 2

-k = (15 + 1 - 2) + 6k

-k = 14 + 6k      |subtract 6k from both sides

-7k = 14    |divide both sides by (-7)

k = -2
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The volume of a cube is 27000 cubic inches. What is the length of one side?
anyanavicka [17]

Given:

Volume of a cube = 27,000 in^3

(Note: A cube has equal sides)

The volume of a cube = a^3

So,

\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}

Therefore, the lenght of one side is 30 inches.

4 0
1 year ago
The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10
cestrela7 [59]

Let X be the weekly incomes of a large group of executives. The weekly incomes of a large group of executives follows Normal distribution with mean $2000 and standard deviation $100.

μ =2000, σ =100

We have to find z score for income $2100 i.e x=2100

Z = \frac{x-mean}{standard deviation}

= \frac{2100 - 2000}{100}

Z = 100/100

Z = 1

The z score for income $2100 is 1

6 0
3 years ago
If the results of the survey were claimed to indicate that of adults in this country who own digital cameras plan to replace the
loris [4]

Answer: Inferential.

It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population.

If the results of a survey were claimed to indicate that 7.8% of adults in this country who own digital cameras plan to replace their cameras in the next 12 months. would you say this statement is descriptive or inferential, why?

Step-by-step explanation:

It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population. this claim requires an inference to the population. For example, you might stand in a mall and ask a sample of 200 people if they like shopping at ShopRite. You could make a bar chart of yes or no answers (that would be descriptive statistics) or you could use your research (and inferential statistics) to reason that around 50-75% of the population (all shoppers in malls) like shopping at ShopRite.

8 0
3 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 12, b = 14
Eva8 [605]
We know that
case 1)
Applying the law of sines
a/Sin A=b/Sin B
A=56°
a=12
b=14
so
a*Sin B=b*Sin A----> Sin B=b*Sin A/a---> Sin B=14*Sin 56°/12
Sin B=0.9672
B=arc sin (0.9672)------> B=75.29°-----> B=75.3°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+75.3)----> C=48.7°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 48.7°/Sin 56°)
c=10.87-----> c=10.9

the answer Part 1)
the dimensions of the triangle N 1
are
a=12  A=56°
b=14  B=75.3°
c=10.9  C=48.7°

case 2) 
A=56°
a=12
b=14
B=180-75.3----> B=104.7°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+104.7)----> C=19.3°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 19.3°/Sin 56°)
c=4.78-----> c=4.8

the answer Part 2)
the dimensions of the triangle N 2
are
a=12  A=56°
b=14  B=104.7°
c=4.8    C=19.3°
3 0
3 years ago
*ANSWER FAST* x-1/x-2 + x-3/x-4 = 3 1/3 [x≠2 , x≠4] find
Natali5045456 [20]

Answer:

x = 5, x = \frac{5}{2}

Step-by-step explanation:

Given

\frac{x-1}{x-2} + \frac{x-3}{x-4} = 3 \frac{1}{3}

\frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)} = \frac{10}{3}

\frac{x^2-5x+4+x^2-5x+6}{x^2-6x+8} = \frac{10}{3}

\frac{2x^2-10x+10}{x^2-6x+8} = \frac{10}{3}  ( cross- multiply )

10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides

10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides

4x² - 30x + 50 = 0 ( divide through by 2 )

2x² - 15x + 25 = 0 ← in standard form

(2x - 5)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

x - 5 = 0 ⇒ x = 5

7 0
3 years ago
Read 2 more answers
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