Answer:
1/12
Steps:
1 - 2/3 = 1/3
1/3 / 4 = 1/3 × 1/4 = 1/12
Answer:
Given f(x)=32
So we can substitute 32 in place of 'x'
So, f(x)=3x-1
= f(x)=3(32)-1
= f(x)=96-1
= f(x)=95
f(x)=3x-1 = 95
Answer:
456.2 units²
Step-by-step explanation:
The area of the square base is ...
base area = w² = (10 units)² = 100 units²
The lateral area is 4 times the area of one rectangular face:
lateral area = 4wx = 4(10 units)(5 units) = 200 units²
The area of one triangular face is half the product of its base length (w) and its slant height (h). The latter is found using the Pythagorean theorem:
h² = y² +(w/2)² = (6 units)² +((10 units)/2)² = 61 units²
h = √61 units
So, the area of 4 triangles is ...
area of triangular faces = 4(1/2)wh = 2(10 units)(√61 units) ≈ 156.2 units²
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Now we have the areas of the parts, so we can add them together to get the total surface area:
surface area = base area + lateral area + area of triangular faces
= 100 units² + 200 units² + 156.2 units²
surface area = 456.2 units²
Answer:
a) The test is left-tailed.
Step-by-step explanation:
a) Hypothesis testing is tagged two-tailled if the test checks for a claim in both directions (greater than and less than).
It is one tailed if it checks for a claim in only one direction (either greater than or less than). It is left-tailed of it is testing the claim in a less than direction and right-tailed if it is testing the claim in a greater than direction.
This question is to check results from a test of the claim that less than 8% of treated subjects experienced headaches. It is evidently left tailed.
Hope this Helps!!!
