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vazorg [7]
2 years ago
15

Evaluate the expression

Mathematics
1 answer:
lora16 [44]2 years ago
5 0
The correct answer is B=4
You might be interested in
Adding and subtracting integers
belka [17]

1) -15

2) 5

3) -13

4) -4

5) 5

6) 14

7) 0

8) -8

9) -8

10) 7

These are very easy, when subtracting a negative from a positive think of it as just plain subtraction. When adding a negative to a positive, again, think of it as subtraction. When subtracting two negatives it's basically addition but you final answer should have a negative sign.

Hope I could help! :)

7 0
3 years ago
Find the measurements of all the numbered angles in the rhombus
maxonik [38]

Answer:

Step-by-step explanation:

6 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: <em>H₀</em>: <em>p</em> = 0.02 vs. <em>Hₐ</em>: <em>p</em> < 0.02.

(b) Explained below.

(c) The better value of <em>α</em> 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 <em>z</em>-test.

(a)

The hypothesis can be defined as:

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

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

<em>H₀</em>: <em>p</em> = 0.02 vs. <em>Hₐ</em>: <em>p</em> < 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 (<em>α</em>).

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

If the value of <em>α</em> 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 <em>α</em> the higher is the probability of making a correct decision.

Thus, the better value of <em>α</em> will be 0.10.

3 0
3 years ago
ABCEDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is . It will take incre
Mrrafil [7]

Answer:

45 or multiples of 45 around the centre of octagon

Step-by-step explanation:

Given that ABCDEFGH is a regular octagon.  i.e. it has 8 sides.

Since regular ocagon, all interior angles would be equal.

Sum of all interior angles of octagon = 2(8)-4 right angles

= 12 right angles

Hence each angle = 12(90)/8 = 135 degrees

Thus the octagon when rotated will take the same shape if vertices interchange also due to the property that all sides and angles are equal

Since each angle is 135 imagine an octagon with one vertex at origin O, and adjacent vertex B on x axis.   OB has to be coincident with BC the next side or the previous side to get it mapped onto itself

The centre will be at the middle with each side subtending an angle of 45 degrees.

Hence if rotation is done around the centre with 45 degrees we will get octagon mapped onto itself.

45, 90, 135 thus multiples of 45

8 0
3 years ago
What is |-2.2|? plz halp
gladu [14]
That would be 4
Hope it helps!!
3 0
3 years ago
Read 2 more answers
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