Answer:
B. 43°
Step-by-step explanation:
Internal angles of the triangle are:
So It is a right triangle and the missing angle is:
Answer:
−35.713332 ; 0.313332
Step-by-step explanation:
Given that:
Sample size, n1 = 11
Sample mean, x1 = 79
Standard deviation, s1 = 18.25
Sample size, n2 = 18
Sample mean, x2 = 96.70
Standard deviation, s2 = 20.25
df = n1 + n2 - 2 ; 11 + 18 - 2 = 27
Tcritical = T0.01, 27 = 2.473
S = sqrt[(s1²/n1) + (s2²/n2)]
S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]
S = 7.284
(μ1 - μ2) = (x1 - x2) ± Tcritical * S
(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284
(μ1 - μ2) = - 17.7 ± 18.013332
-17.7 - 18.013332 ; - 17.7 + 18.013332
−35.713332 ; 0.313332
Answer:
The transformation of the parent function is shown in blue. It is a shift down (or vertical translation down) of 1 unit. A reflection on the x-axis is made on a function by multiplying the parent function by a negative.
Step-by-step explanation:
Answer: 2.5 mL
Step-by-step explanation:
Given : A patient is given a solution containing 0.625 g of calcium carbonate.
i.e. Patient required calcium carbonate = 625 mg [∵ 1 g = 1000 mg]
Let x be the amount of solution ( in millimeters) given to the patients.
Ratio of amount of calcium carbonate (mg) to amount of solution (ml) =
If the calcium carbonate solution contains 1250 mg per 5 mL,
Then, Ratio of amount of calcium carbonate to amount of solution =
By using proportion we have :-

Hence, 2.5 mL solution were given to the patient.