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2 years ago

Benjamin writes an expression for the sum of 1 cubed, 2 cubed and 3 cubed. What is the value of the expression?

1 answer:

8 0

So the "sum" means to add all of the terms: 1³ + 2³ + 3³

1³ is simply 1
2³ is 8
3³ is 27

so, from there, you just add all of those terms: 1 + 8 + 27 = 36

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A teacher collected information from a class of 25 students about the time, in hours, they spent studying the previous week and

amm1812

Answer:

Correlation will not change.

Correlation coefficient = -0.72

Step-by-step explanation:

We are given the following in the question:

Correlation coefficient between hours spent studying and hours spent on the Internet = -0.72

Properties of correlation coefficient:

Correlation is a technique that help us to find or define a relationship between two variables.
It is a measure of linear relationship between two quantities.
It is not affected by the units of the variable or change in units of the variable.

Thus, if the units of each variable is changed from hours to minutes, the correlation coefficient remains the same between minutes studying and minutes spent on the Internet.

5 0

2 years ago

Adam has sticks of the following lengths: (3x+4) (2x+10) (x+12)cm

gladu [14]

Option I
(3x+4)cm =(2x+10)cm
3x-2x=6
x=6
Option II
(3x+4)= (x+12)
3x-x=12-4
2x=8
x=4
Option III
(2x+10)= (x+12)
2x-x=12-10
x=2

3 0

2 years ago

Read 2 more answers

You have $25 to buy 6 fishing lures. Write and solve an inequality that represents the prices you can pay per fishing lure.

Rus_ich [418]

We are given that we have $25 to pay for 6 fishing lures.

We can make an equality for this as follows:

Suppose price of one fishing lure is x dollars.

So we will use unitary method to find price of 6 fishing lures.

Price of 6 fishing lures = 6 * ( price of one fishing lure) = 6* x = 6x

Now we only have 25 dollars with us, so the price of 6 fishing lures has to be less than or equal to 25 dollars.

So creating an inequality,

$6x\leq25$

Now in order to find price for one fishing lure, we have to solve this for x.

Dividing both sides by 6 we have,

$x\leq\frac{25}{6}$

Converting to decimal,

$x\leq4.167$

Answer : The price of one fishing lure must be less than or equal to $4.167

6 0

2 years ago

If CDE ~ GDF, find ED

qaws [65]

Answer:

Step-by-step explanation:

$\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}$

7 0

2 years ago

HELP PLEASE The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a

Phantasy [73]

Answer:

Step-by-step explanation:

In this question, we are interested in calculating the z-score of a company employee.

Mathematically;

z-score = (x- mean)/SD

where in this case;

x is the value given which turns out to be the annual salary of the employee = 28,000

Mean = 34,000

standard deviation = 4,000

Plugging these values into the equation above, we have;

z-score = (28000-34000)/4000 = -6000/4000 = -1.5

4 0

2 years ago

Read 2 more answers