Compute the following binomial probabilities directly from the formula for b(x; n, p):a. b(3; 8, .35)
b. b(5; 8, .6)
c. P(3<=X<=5) when n=7 and p = .6
d. P(1 <= X) when n=9 and p= .1

Through (-6, 8); perpendicular to 9x + 5y = 66. Write the equation in y = mx + b form.

Write a statement that indicates that the triangles in each pair are congruent

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?A) q + d = 6
25q + 10d = 33


B) q + d = 6
0.25q + 0.1d = 33


C) q + d = 33
25q + 10d = 6


D) q + d = 33
0.25q + 0.1d = 6

Name a segment that is perpendicular to segment AB.G
E
A
D
H
F
B
С

A bird was sitting 12 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?

1. Write a ratio and a percent for the shaded area.a 4x4 grid with 5 blocks shaded (1 point) one over five, 25% five sixteenths, 31.25% one over four, 20% one over four, 25% 2. Model 32% on a 5 × 5 grid. (1 point) a 5 by 5 grid has 8 cells shaded. a 5 by 5 grid has 6 cells shaded. a 5 by 5 grid has 7 cells shaded. a 5 by 5 grid has 20 cells shaded. 3. Write the ratio as a percent. In a car dealership’s lot, StartFraction 6 Over 24 EndFraction of the cars are silver. (1 point)
0.2 0.25 0.26 0.28 4. Write the decimal as a percent. 0.09 (1 point) 0.9 0.09 0.009 0.0009 5. Write the percent as a decimal. 37.1% (1 point) 0.371 3.71 37.1 371 6. Order from least to greatest. 0.4, four-ninths, 40.5%, eleven-twenty-fifths (1 point) 0.4, four-ninths, 40.5%, eleven-twenty-fifths four-ninths, 40.5%, eleven-twenty-fifths, 0.4 0.4, 40.5%, eleven-twenty-fifths, four-ninths four-ninths, 0.4, 40.5%, eleven-twenty-fifths 7. In a candy bar, 165 calories are from sugar. There are 250 calories in the candy bar. What percent of the calories are from sugar? (1 point)
58 82 60 66 For questions 8 and 9, write the fraction as a percent. If necessary, round to the nearest tenth of a percent.
8. 9/15 (1 point) 0.481 0.604 0.483 0.6 9. Write the fraction as a percent. If necessary, round to the nearest tenth of a percent.
4one fifth (1 point) 0.041 4.2 0.42 0.042 10. Write the percent as a decimal and as a fraction.
215% (1 point) 2.15; 21/20 2.15; 23/20 21.5; 211/2 21.5; 213/10 11. The science club sold 25 T-shirts last week and 18 T-shirts this week. What is the percentage of decrease in the number of T-shirts sold? (1 point)
0.72 0.28 0.39 0.36 12. On a factory floor, 20 of every 170 toy robots are defective. What percent of the toy robots are defective? Round your answer to the nearest hundredth. (1 point)
0.3434 0.0176 0.1176 0.0341 13. A new law requires that 12% of an individual’s income be invested in the stock market. Your accounts show that you need to put $420 in the stock market this year. How much did you earn this year? (1 point)
5040 350 504 3500 14. 20% of what number is 47? (1 point) 236.5 235 232 237.5 15. Estimate a 15% tip for a meal that cost $26.80. (1 point)
1.35 2.7 4.05 31.05 16. You and some friends rent a limousine for a formal reception. The bill for the evening is $53.00. A tax of 6% will be added to your total, and you want to tip the chauffeur for his excellent driving. You decide to leave him a tip that is 20% of the bill before tax is added. How much will be paid in total? (1 point)
63.6 66.78 13.78 10.6 17. Find the percent of markup. Round to the nearest tenth.
$37.00 to $49.00 (1 point) 0.245 0.324 0.277 0.12 FinishCancel