Someone please answer this for me.

A researcher wants to study the relationship between salary and gender. She randomly selects 297 individuals and determines thei

padilas [110]

Answer:

The researcher cannot conclude that salary and gender are dependent.

Step-by-step explanation:

A dependent variable is a variable, for example "Salary" that depends on an independent variable, e.g. "Gender." Salary is the dependent variable while gender is the independent variable. This means that the value of salary changes in relation to the gender and not vice versa. Two variables become dependent if they change based on another independent variable that is operating on them. In this research, the researcher is not trying to measure gender but the relationship between salary and gender. To achieve her purpose, she shows that salary depends on gender and not that gender depends on salary.

4 0

4 years ago

A bank offers all savings accounts 5% interest compounded annually. If one account has a principal of $100 and another

arsen [322]

Answer:

From the calculation for both the accounts, it is clear that both the account double in the same time period of 14 years 26 days .

Step-by-step explanation:

Given as :

The principal for the first account = p = $100

The rate of interest = r = 5% compounded annually

The account gets double , so, Amount = A = $200

Let the time after which account gets double = t years

So<u>, From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\trxtrm rate}{100})^{\textrm time}$

As amount is double its principal

So, A = 2 × $100 = $200

Or, A = p × $(1+\dfrac{\trxtrm r}{100})^{\textrm t}$

Or, $200 = $100 × $(1+\dfrac{\trxtrm 5}{100})^{\textrm t}$

Or, $\dfrac{200}{100}$ = $(1.05)^{\textrm t}$

Or, 2 = $(1.05)^{\textrm t}$

Taking Log both side

$Log_{10}2$ = $Log_{10}(1.05)^{t}$

Or, 0.3010 = t $Log_{10}1.05$

Or, 0.3010 = t × 0.0211

∴ t = $\dfrac{0.3010}{0.0211}$

I.e t = 14.26

So, The time period to get account double is 14 years 26 days

<u>Again </u>

Amount = Principal × $(1+\dfrac{\trxtrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\trxtrm r}{100})^{\textrm t}$

As amount is double its principal

So, A = 2 × $1000 = $2000

Or, $2000 = $1000 × $(1+\dfrac{\trxtrm 5}{100})^{\textrm t}$

Or, $\dfrac{2000}{1000}$ = $(1.05)^{\textrm t}$

Or, 2 = $(1.05)^{\textrm t}$

Taking Log both side

$Log_{10}2$ = $Log_{10}(1.05)^{t}$

Or, 0.3010 = t $Log_{10}1.05$

Or, 0.3010 = t × 0.0211

∴ t = $\dfrac{0.3010}{0.0211}$

I.e t = 14.26

So, The time period to get account double is 14 years 26 days

Hence From the calculation for both the accounts, it is clear that both the account double in the same time period of 14 years 26 days . Answer

7 0

3 years ago

Give the general form of the equation of the line through (1,2) and is perpendicular to the line passing through (-6,-3)(6,3)

olga nikolaevna [1]

Answer:

4x+3y-10=0

Step-by-step explanation:

first find the gradient of the line that is perpendicular to the line of interest.

y2-y1/x2-x1

3--3/6--6

=3+3/6+6

=9/12

3/4

The gradient of the line of interest is the negative reciprocal of 3/4. Therefore m is -4/3

next, substitute information into

y-y1=m(x-x1)

y-2=-4/3 (x-1)

multiply both sides of equation by 3

3y-6=-4 (x-1)

expand brackets

3y-6=-4x+4

rearrange in general form

4x+3y-10=0

6 0

3 years ago

12x + 3y = 9 solve for y

Vinvika [58]

Answer:

$\Longrightarrow: \boxed{\sf{y=3-4x}}$

Step-by-step explanation:

To solve for y, you have to isolate it on one side of the equation.

<u>First, you have to subtract by 12x from both sides.</u>

$\Longrightarrow:\sf{12x+3y-12x=9-12x}$

<u>Solve.</u>

$\Longrightarrow:\sf{3y=9-12x}$

<u>Then, you divide by 3 from both sides.</u>

$\Longrightarrow:\sf{\dfrac{3y}{3}=\dfrac{9}{3}-\dfrac{12x}{3}}$

<u>Solve.</u>

$\sf{\dfrac{9}{3}-\dfrac{12x}{3}}$

$\sf{\dfrac{9-12x}{3}}$

Use the distributive property.

$\underline{\text{DISTRIBUTIVE PROPERTY:}}$

9-12x=3(3-4x)

$\sf{\dfrac{3\left(3-4x\right)}{3}}$

<u>Divide the numbers from left to right.</u>

3/3=1

3-4x

<u>Then, rewrite the problem down.</u>

$\Longrightarrow: \boxed{\sf{y=3-4x}}$

<u>Therefore, the correct answer is y=3-4x.</u>

I hope this helps! Let me know if you have any questions.

4 0

3 years ago

Read 2 more answers

Which of the following equations has a graph that passes through (3, 3) and has a slope of -2?

noname [10]

Answer:

C

Step-by-step explanation:

y=mx+b

3 = -2(3) + b

3 = -6 + b

9 = b

y = -2x + 9

2x + y = 9

4 0

3 years ago

Someone please answer this for me.​

Someone please answer this for me.