Answer:
15.8 cm²
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the angle A. This can be obtained as follow:
B = 56°
C = 78°
A =?
A + B + C = 180 (Sum of the angle in triangle)
A + 56 + 78 = 180
A + 134 = 180
Collect like terms
A = 180 – 134
A = 46°
Next, we shall determine the value of b by using the sine rule. This can be obtained:
Side opposite angle C (c) = 7.2 cm
Angle C = 78°
Angle B = 56°
Side opposite angle B (b) =?
b/Sine B = c/sine C
b/Sine 56 = 7.2/Sine 78
Cross multiply
b × Sine 78 = 7.2 × Sine 56
Divide both side by Sine 78
b = 7.2 × Sine 56 / Sine 78
b = 6.1 cm
Finally, we shall determine the area of the triangle. This can be obtained as follow:
Side opposite angle C (c) = 7.2 cm
Side opposite angle B (b) = 6.1 cm
Angle A = 46°
Area (A) =?
A = ½bcSineA
A = ½ × 6.1 × 7.2 × Sine 46
A = 15.8 cm²
Therefore, the area of the triangle is 15.8 cm²
Answer:
b
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
1.75x -2 + 1.75x -2 + 1.75x -2 =67.5
5.25x-6= 67.5
5.25x =73 .5
X = 14
The statement that 99% of all confidence intervals with a 99% confidence level should contain the population parameter of interest is false.
A confidence interval (CI) is essentially a range of estimates for an unknown parameter in frequentist statistics. The most frequent confidence level is 95%, but other levels, such 90% or 99%, are infrequently used for generating confidence intervals.
The confidence level is a measurement of the proportion of long-term associated CIs that include the parameter's true value. This is closely related to the moment-based estimate approach.
In a straightforward illustration, when the population mean is the quantity that needs to be estimated, the sample mean is a straightforward estimate. The population variance can also be calculated using the sample variance. Using the sample mean and the true mean's probability.
Hence we can generally infer that the given statement is false.
To learn more about confidence intervals visit:
brainly.com/question/24131141
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Answer:
-12x+18x²
Step-by-step explanation:
Given: 
Distributive property of multiplication under which a number is multiplied by the sum of two number, the first number can be distributed to both of those number.
∴
solving it by using distributive property
= 
= 
Opening parenthesis
= 
Hence, -12x+18
is the result after using distributive property.
