The first one is 2/3the second is 1/160the third is 4/125
Answer from: Quest
{x = -1/2 , y = -1
step-by-step explanation:
solve the following system:
{2 x + y = -2
{10 x - 3 y = -2
in the first equation, look to solve for y:
{2 x + y = -2
{10 x - 3 y = -2
subtract 2 x from both sides:
{y = -2 x - 2
{10 x - 3 y = -2
substitute y = -2 x - 2 into the second equation:
{y = -2 x - 2
{10 x - 3 (-2 x - 2) = -2
10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:
{y = -2 x - 2
{16 x + 6 = -2
in the second equation, look to solve for x:
{y = -2 x - 2
{16 x + 6 = -2
subtract 6 from both sides:
{y = -2 x - 2
{16 x = -8
divide both sides by 16:
{y = -2 x - 2
{x = -1/2
substitute x = -1/2 into the first equation:
{y = -1
{x = -1/2
collect results in alphabetical order:
answer: {x = -1/2 , y = -1
Answer from: Quest
24
step-by-step explanation:
the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is
30% Γ 80 = 0.30 Γ 80 = 24
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The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.