Three judges measure the lap times of a runner and each measurement is different from the others by a few hundredths of a second

Response:

15:6 = 5:2=28:x

x=11.2, approximately 12 hours.

Step-by-step explanation:

To address this issue, the procedure below should be utilized:

 1- The Law of sines can be applied as follows:

 The unknown angle can be determined by: 180°-65°-45°=70°

 - The <span>distance Jake travels to the store is:

 30/Sin(70°)=x/Sin(45°)
 x=22.57

 - The distance Maddie travels to the store is:

 </span>30/Sin(70°)=y/Sin(65°)
<span> y=28.93

 - The difference calculated is: 6.36

Thus, the result shows that the difference is 6.36 m.</span>

Answer:

a) Slope:

Intercept:

b)

Additionally, the coefficient of determination is

Step-by-step explanation:

Definitions and data provided

The correlation coefficient is a measure that quantifies the strength of the relationship between two variable movements, denoted as r and ranging between -1 and 1.

The sum of squares refers to the total of the squared deviations, where deviation is defined as the difference between each value and the grand mean.

When performing multiple regression, the aim is to analyze the relationship between multiple independent variables and one dependent variable.

n=110,

Part a

The slope can be calculated using this formula:

Following the substitutions, we have:

The intercept can be determined with this formula:

Average values for x and y can be calculated this way:

Replacing yields:

Part b

The correlation coefficient can be calculated using the following formula:

In our situation:

n=110,

We can compute the correlation coefficient by substituting values:

The coefficient of determination is

Cooper requires 39.8 mL of milk for his recipe.

Step-by-step answer:

The base of the exponential function is set at 1.29 for a period of 7 days, which is expressed as

f(x) = 86*(1.29)^x

To determine the daily rate, divide the variable x by 7 (keeping x as the number of weeks), resulting in

f(x) = 86*1.29^(x/7)

Applying the exponent rule, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we can simplify by setting b=1.29, a=7 to arrive at

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x since evaluating 1.29^(1/7) yields approximately 1.037

Rounding 1.037 to 1.04 gives a (VERY) rough estimate function

f(x) = 86 * (1.04^x)

1.04 is only an approximation because 1.04^7 is expected to return 1.29, it actually results in 1.316; meanwhile, 1.037^7 returns 1.2896, which is much closer to 1.29.