What is it called when a columns filled with pairs of numbers that have the same ratio?

How many solutions can be found for the equation 3y + 5 - 2y = 11

julsineya [31]

Answer:

There is only one solution, y = 6

Step-by-step explanation:

3y + 5 - 2y = 11

Step 1: Combine Like Terms

3y + 5 - 2y = 11

y + 5 = 11

Step 2: Subtract 5 from both sides

y + 5 - 5 = 11 - 5

y = 6

Answer: There is only one solution, y = 6

7 0

4 years ago

Read 2 more answers

Taking a test i don’t know anything about please help

PilotLPTM [1.2K]

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 4:

The line of regression is $\hat y = a+bx$ where:

$a=\overline y-b \overline x$

$b=\frac{r*s_y}{s_x}$

We are given that $\overline y=75$ , $s_y=8$ , $\overline x=280$ , $s_x=30$ , and $r=0.60$ , therefore our slope, $b$ , is:

$b=\frac{r*s_y}{s_x}$

$b=\frac{(0.60)(8)}{30}$

$b=0.16$

Therefore, the slope of the regression line is 0.16, which can be used along with the values of $\overline y$ and $\overline x$ to find the constant $a$ :

$a=\overline y-b \overline x$

$a=75-(0.16)(280)$

$a=30.2$

This means our final regression line is $\hat y = 30.2 + 0.16x$

Problem 5:

The slope, $b=0.16$ , means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.

Problem 6:

The y-intercept (or constant), $a=30.2$ , means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.

Problem 7:

$R^{2}=(0.60)^{2}=0.36=36\%$

Problem 8:

The fraction of variability (aka. coefficient of determination), $R^2$ , means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.

6 0

3 years ago

Please help! this is the last one i need and i forgot how to do it!

s2008m [1.1K]

Based on the information, Christian would have $5525.5 of annuity.

<h3>How to calculate the annuity?</h3>

According to given information, the number of coffees per week is 3 then, per month is 3x4 = 12

For each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54

Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133

n = number of payments = 8 x 12 = 96

We can use the formula for finding the future value as below

FV = C x [ ( 1 + r )n-1 ] / ( r )

FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)

= 54 x [ (1.13609 - 1)] / (0.00133)

= 54 x 0.13609 / (0.00133)

= 54 x 102.3233

= 5525.5

Therefore Christian would have $5525.5 of annuity.

Learn more about annuity on:

brainly.com/question/5303391

#SPJ1

3 0

2 years ago

Determine the area of the yellow sector. A) 5 4 π in2 Eliminate B) 5 2 π in2 C) 9 2 π in2 D) 15 8 π in2 (Can't figure out how to

uranmaximum [27]

Answer:

1.875\pi square units

Step-by-step explanation:

We know that area of a circle is pi r square.

The sector has a proportional area according to the angle it subtends at the centre.

Here we have a circle of radius 3 inches with central angle 75 degrees.

Total angle of a circle = 360

Area of the given sector = Area of yellow shaded= $\frac{75}{360} *\pi (3^2) \\= 1.875\pi$

6 0

3 years ago

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ms. Luca designs a water ride for a theme park . coordinate gird shows her plan for the path of the boats through the ride

Marina86 [1]

Start (90,100). End (10,0). Waterfall (70,50). The X point is first Y is second. Hope this helps :)

8 0

3 years ago