Find the t-value(s) for each of the following cases. round your answers to 3 decimals places. enter negative values as negative number. a. upper tail area of .025 with 12 degrees of freedom is b. lower tail area of .005 with 55 degrees of freedom is c. upper tail area of .01 with 30 degrees of freedom is d. where 98% of the area falls between these two t-values with 25 degrees of freedom e. where 95% of the area falls between these two t-values with 45 degrees of freedom

the correct answer is 5 6 and 7

sine

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

let's start from the lower value, we have:

(we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

so, the range of wavelength of infrared radiation is: