A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4cm and a height of 5cm. What is the tota
1 answer:
Answer: 120 cm²
Step-by-step explanation:
Let's start by finding the area of one triangle
The formula for finding the area of a triangle is
Where
A is the area
h is the height (5 for this)
and b is the base (4 for this)
Let's sub in our values and solve.
Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape
12×10=120
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Answer:
Yes, we have sufficient evidence at the 0.02 level to support the company's claim.
Step-by-step explanation:
We are given that a sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that above 29% do not fail in the first 1000 hours of their use.
Let Null Hypothesis, : p
0.29 {means that less than or equal to 29% do not fail in the first 1000 hours of their use}
Alternate Hypothesis, : p > 0.29 {means that more than 29% do not fail in the first 1000 hours of their use}
The test statics that will be used here is One-sample proportions test;
T.S. = ~ N(0,1)
where, = proportion of chips that do not fail in the first 1000 hours of their use = 32%
n = sample of chips = 1500
So, <u>test statistics</u> =
= 2.491
<em>Now, at 0.02 level of significance the z table gives critical value of 2.054. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it fall in the rejection region.</em>
Therefore, we conclude that more than 29% do not fail in the first 1000 hours of their use which means we have sufficient evidence at the 0.02 level to support the company's claim.