Mu Alpha Theta In-School Competition April 15th, 2024

A family has 3 children. You know that 2 of the children are boys. What is the probability that the third child is also a boy?

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

The GDP per capita for 6 countries are:

$252

$122,451

$6,592

$12,129

$12,171

$23,472

Determine the mean, median, and mode of this data set.

• No mean, median, or mode
• Mean: $32,983.40

  Median: $12,129

  Mode: No mode

• Mean: $29,511.17

  Median: $12,150

  Mode: No mode

• Mean: $29,511.17

  Median: $12,171

  Mode: $12,2451

• Mean: $27,486.17

  Median: $12,150

  Mode: No mode

Tags

CCSS.6.NS.B.3

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

A streaming service tracks the length (in minutes) of various movies in its library. Here are the lengths of a random sample of 5 movies:

• 98 minutes

• 125 minutes

• 150 minutes

• 172 minutes

• 201 minutes

• Calculate the range and interquartile range of the movies.

• Range = 47 minutes, Interquartile Range = 103 minutes
• Range = 150 minutes, Interquartile Range = 172 minutes
• Range = 201 minutes, Interquartile Range = 125 minutes
• Range = 98 minutes, Interquartile Range = 201 minutes
• Range = 103 minutes, Interquartile Range = 47 minutes

Tags

CCSS.HSS.ID.A.2

Describe the correlation of the points on the scatter plot.

• Strong, linear, positive

• Strong, linear, negative

• Moderate, quadratic, positive

• Weak, linear, positive

• Strong, logarithmic, positive

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Imagine a company manufactures lightbulbs, and the lifespans of these lightbulbs are normally distributed with an average lifespan of 10,000 hours and a standard deviation of 500 hours. What percentage of lightbulbs can be expected to last between 9,000 and 11,000 hours?

• 95%

• 99.7%

• 34%

• 68%

• 49.85%

Tags

CCSS.HSS.ID.A.4

A right triangle has legs measuring 6 cm and 8 cm. Calculate the length of the hypotenuse.

• 18 cm
• 16 cm
• 14 cm
• 12 cm
• 10 cm

Tags

CCSS.HSG.SRT.C.8

Write the equation of a circle centered at (3, -1) with a radius of 4.

• (x - 3)² + (y + 1)² = 16

• (x - 3)² + (y - 1)² = 16

• (x + 3)² + (y - 1)² = 16

• (x - 3)² + (y + 1)² = 4

• (x + 3)² + (y + 1)² = 4

Tags

CCSS.HSG.GPE.A.1

A bag contains 5 red marbles, 3 blue marbles, and 2 yellow marbles. What is the probability of drawing all 3 blue marbles from the bag without replacement in the first 3 draws?

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Solve the inequality -11x + 9 > 25.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for the solutions of 2x² - 7x - 15 = 0.

• x = -1, x = 4
• x = -4, x = 7
• x = -2, x = 3

Tags

CCSS.HSA.REI.B.4