Arrange the steps from start to finish to factor this expression using the grouping method. x² - 5x-24

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(x - 3)(x + 8)

(X^2+ 3x) + (-8x - 24)

X^2+ 3x - 8x - 24

(x + 3)(x-8)

x^2- 3x + 8x - 24

x(x + 3) - 8(x + 3)

In a class, there are 12 girls. if the ratio of boys to girls is 5: 4 how many boys are there in the class

The price of a visit to the dentist is calculated according to the formula 50+100n50+100n where nn is the number of cavities the dentist finds. on your last visit to the dentist, 22 cavities were found. what was the cost of your visit?

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec