A certain triangle has 30° ange 60° angle. Which must be a true statement about the triangle?

The greater of two consecutive integers is 20 more than twice the smaller. find the integers.

Kipish [7]

Let x represent the smaller. Then x+1 is the greater of the two.

... x+1 = 2x +20

... 0 = x + 19 . . . . . subtract x+1

... x = -19

Your two integers are -19 and -18.

7 0

3 years ago

Including the bus driver, there are 15 people on a bus. During the bus ride, each person produces 750 BTUs (British Thermal Unit

Wewaii [24]

It is going to be 5.57 BTUs per ft^3

3 0

3 years ago

Simplify. [72/(-9)]/(-1/3)

Nutka1998 [239]

Answer:

24

Step-by-step explanation:

(72/-9) / (-1/3)

72/-9) x (-3/1)

(72)*(-3) = - 216/ -9

= 24

4 0

2 years ago

9. Which point of view is most likely to be uni eliable in a story?

QveST [7]

This question includes some misspelled words; here is the correct question:

Which point of view is most likely to be unreliable in a story?

All points of view in a story are equally reliable.

The first person narrator is most likely to be unreliable.

All points of view in a story are equally unreliable.

The third-person point of view is most likely to be unreliable.

The correct answer is The first-person narrator is most likely to be unreliable.

Explanation:

In a narrative text, an unreliable narrator implies the narrator lies on purpose to the reader, or his/her version of the story is not completely accurate. This feature of narration occurs mainly if the story, novel, etc. includes a first-person narrator. This is because in a first-person narrator, the thoughts, feelings, and point of view of one of the characters prevail, and this causes the events told are subjective and therefore more likely to be inaccurate. Also, this does not occur if there is a third-person narrator because in this case the narrator acts as an observer and this makes it more objective.

5 0

2 years ago

An automobile manufacturer is considering using robots for part of its assembly process. Converting to robots is an expensive pr

LenKa [72]

Answer:

(a) The correct option is: H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b) Explained below.

(c) The better value of α will be 0.10.

Step-by-step explanation:

An automobile manufacturer is considering using robots for part of its assembly process only if there is strong evidence that the proportion of defective installations is less for the robots than for human assemblers.

To test whether the proportion of defective installations is less for the robots than for human assemblers use a single-proportion z-test.

(a)

The hypothesis can be defined as:

H₀: The proportion of defective installations is same for both the robots and human assemblers, i.e. p = 0.02.

Hₐ: The proportion of defective installations is less for the robots than for human assemblers, i.e. p < 0.02.

The alternate hypothesis is the claim or the statement that is being tested.

In this case we need to test whether the proportion of defective installations is less for the robots than for human assemblers or not, so that the manufacturer can decide whether they want to apply the conversion.

Thus, the correct option is:

H₀: p = 0.02 vs. Hₐ: p < 0.02.

(b)

A type I error occurs when we discard a true null hypothesis and a type II error is made when we fail to discard a false null hypothesis.

In this case a type I error will be committed if conclude that the proportion of defective installations is less for the robots than for human assemblers when in fact it is not.

And a type II error will be committed if we fail to conclude that proportion of defective installations is less for the robots than for human assemblers.

(c)

The power of the test is the probability of rejecting a false null hypothesis.

The power of the test sis affected by the significance level of the test (α).

Lesser the significance level of the test the lesser is the power of the test.

If the value of α is reduced from 0.05 to 0.01 then the region of acceptance will increase. This implies that there is low probability of rejecting the null hypothesis even when it is false.

So higher the value of α the higher is the probability of making a correct decision.

Thus, the better value of α will be 0.10.

3 0

2 years ago