Answer:
m=3, n = 7
Step-by-step explanation:
Assuming m and n are integers, the following are the possible values of m and n
Let m = 1, then m³ = 1 and n= 189
If m = 2 we get 8n = 189 and 189/8 is not an integer so m ≠ 2
If m = 3, we get 27n = 189 and n = 189/27 = 7
Any higher integer values of m will not result in n being an integer and I am assuming m > 1 so the correct answer is m=3, n = 7
F(−2)=14. Explanation: substitute x=− 2 into f(x). f(−2)=(3×(−2)2)−(−2). ××=(3×4)+2=12+2=14 .
Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
Answer: The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation. ... A mold with a depth of 12 cm has a Z-value of 2, because its depth is two standard deviations greater than the mean
Step-by-step explanation:
