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3 years ago

Y=5x^3-3 {x=+_6} construct the data table

1 answer:

8 0

Data table for y = 5x³ - 3
Plug in the x to find the y-values.

x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
y -1083 -628 -323 -138 -43 -8 -3 2 37 132 317 622 1077

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A piggy bank of coins has quarters and dimes totaling $2.90. If there are 8 more dimes than quarters, how many of each coin is i

xenn [34]

Answer:

12 dimes and 4 quarters

Step-by-step explanation:

If a quarter is 25 cents and a dime is 10 cents then:

There are at least 8 dimes, so we have at least 80 cents

And we know there is only 8 more dimes than quarters so the ratio 12 dimes: 4 quarters tells us that this expression is correct

4 0

2 years ago

In a certain town there were 243 robberies last year. This year the number of robberies has gone down 28%. How many robberies we

VladimirAG [237]

Answer: 175 robberies

Step-by-step explanation:

Robberies last year= 243

Robberies has reduced by 28% which means there are (100-28)% = 72% robberies this year.

Number of robberies this year= 72% of 243 = 72/100 × 243 = 174.96 = 175.

There are 175 robberies this year

7 0

3 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.