Answer: Rejecting the mean weight of each cake as 500 gram when H subscript 0 equals 500
Step-by-step explanation:
Given that :
Null hypothesis : H0 =500
Alternative hypothesis : Ha < 500
Type 1 Error: Type 1 error simply occurs when we reject the Null hypothesis when the Null is true. Alternatively, type 11 error occurs when we fail to reject a false null hypothesis.
Hence, in the scenario above, a type 1 error will occur when we reject the mean weight as 500 even though the Null hypothesis is True.
Answer:
Given : PS = QR
∠PRS = ∠RPQ
PR = PR (On the same base)
Proof / Reason :
∠PRS = ∠RPQ (R)
PS = QR (H)
PR = PR (S)
Therefore, Triangle PRS is congruent to Triangle RPQ
∠PSR = ∠RQP By C.P.C.T. ( Congruent Parts Of Congruent Triangles)
Thanks!
Answer:
x = 129
y = 82
Step-by-step explanation:
x + 51 = 180
x = 180 - 51
x = 129
y + 51 + 47 = 180
y = 98 - 180
y = 82
The area of the considered triangle RST is given by: Option A: 9 sq. units.
<h3>How to find the area of a triangle?</h3>
If we have:
- Length of its base = b units
- Its height = h units long,
Then we get:
Area of a triangle = 
The missing image is attached below.
If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.
Thus, we have:
Area of RST = half of length of RS (base) times length of UT (height)
As visible from image, we have:
Length of RS = 6 blocks of unit length = 6 units
Similarly, length of UT = 3 units
Thus, we get:
Area of RST = 
Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.
Learn more about area of a triangle here:
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