Answer:
17.82
Step-by-step explanation:
since this is a right triangle you can use one of the trigonometric ratios, in this case it would be cosine because you have values for the adjacent and hypotenuse sides
cos(27°) = x/20
x = 20 · cos(27°)
x = 17.82
Answer:
x<1 or x>5
Step-by-step explanation:
2x -3< -1 or -3x < -15
Solve them separately then put them back together
2x-3 < -1
Add 3 to each side
2x-3+3<-1+3
2x<2
Divide by 2
2x/2 <2/2
x<1
-3x < -15
Divide each side by -3, remembering to flip the inequality
-3x/3 > -15/-3
x>5
Put them back together
x<1 or x>5
Let
X/Y--------> the ratio
we know that
X/Y units --------> are inches/yards
9 yards*(X/Y ) inches/yards-------> 9*X/Y yards*inches/yards----> 9*X/Y inches
the ratio in this problem is (X/Y inches /yards)-------> 36/1 inches/yards
the unit in the numerator of the ratio is inches
the answer is
inches
Answer:
C. H0: PL - PR = 0
Ha: PL - PR > 0
The null hypothesis for this case is that left-handed pitchers in a baseball league are not more likely to strike out batters than right-handed pitchers are. That is the proportion of at-bats resulting in a strikeout is significantly equal for both left-handed and right-handed pitchers.
H0: PL - PR = 0
The alternative hypothesis is that the proportion of at-bats resulting in a strikeout is significantly higher for left-handed pitchers
Ha: PL - PR > 0
PL - proportion of at-bats resulting in a strikeout for left-handed pitchers
PR - proportion of at-bats resulting in a strikeout for right-handed pitchers
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
The null hypothesis for this case is that left-handed pitchers in a baseball league are not more likely to strike out batters than right-handed pitchers are. That is the proportion of at-bats resulting in a strikeout is significantly equal for both left-handed and right-handed pitchers.
H0: PL - PR = 0
The alternative hypothesis is that the proportion of at-bats resulting in a strikeout is significantly higher for left-handed pitchers
Ha: PL - PR > 0
PL - proportion of at-bats resulting in a strikeout for left-handed pitchers
PR - proportion of at-bats resulting in a strikeout for right-handed pitchers
40-15=g so they scored 25 this year and 25+15=40
