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Bess [88]
4 years ago
13

Which statement is true about the points shown on the number line?

Mathematics
2 answers:
Katen [24]4 years ago
6 0

Answer:

The correct answer is d.

Step-by-step explanation:

Here we need to recall that if we fix the zero as a point of reference, to his left there are the negative numbers and to his right the positive numbers.

Then, in this exercise it is not difficult to see that the number -4.5 is to the left with respect to -2.3.

In order to find which number is large we need to remember that in the line, the further to the right a number becomes larger, and the further to the left the number becomes smaller.

Always we can use the zero as example: -1<0, and -1 is to left of 0. Besides, 0<1, and 1 is to the right of 0. Then, if we fix a number, to his right are all numbers larger than him, and to his left all numbers smaller.

In this case, -4.5<-2.3.

With this last fact, we conclude that d. is the correct answer.

Arlecino [84]4 years ago
5 0
It should be "A"

On the number line, it shows that -4.5 is further and to the right of -2.3.

Hope that helps!
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In order to set rates, an insurance company is trying to estimate the number of sick days that full-time workers at an auto repa
kotegsom [21]

Answer: 31

Step-by-step explanation:

Formula to find the sample size is given by :_

n=(\dfrac{z^*\cdot \sigma}{E})^2

, where z*= critical value corresponds to confidence level.

\sigma = population standard deviation.

E= Margin of error.

As per given , we have

\sigma=2.8

E=1

We know that critical value corresponding to 95% confidence level = z*=1.96

Then, the required sample size would be :

n=(\dfrac{(1.96)\cdot (2.8)}{1})^2

n=(5.488)^2

n=30.118144\approx31

Hence, the required minimum sample size = 31

3 0
4 years ago
In how many ways can 4 light bulbs be selected from a batch of 43 lights bulbs to be tested for defects? Assume no light bulb wi
lesantik [10]

Answer:

There are 123,410 ways

Step-by-step explanation:

The number of ways or combinations in which we can select k elements from a group of n elements is given by:

\frac{n!}{k!(n-k)!}

In this case, we can replace n by 43 and k by 4, because we are going to select 4 light bulbs from a batch of 43 light bulbs.

So, the number of combinations is calculated as:

\frac{43!}{4!(43-4)!}=123,140

It means that there 123,410 ways to select 4 light bulbs from a batch of 43 lights bulbs to be tested for defects

6 0
4 years ago
Can You guys help me on these problems
klio [65]

Answer:

5=100

6=900

8=375

Step-by-step explanation:

LxWxH

20x4

300x3

5x5=25 x 15= 375

4 0
3 years ago
Having trouble getting these answers. Please help..
Iteru [2.4K]
11. the average is 87
12. the median is 87
13. the mode is 85
14. is range 24

7 0
3 years ago
Find the value of y (Angle A and angle B are congruent) <br> A) 64<br> B) 68<br> C) 71<br> D) 82
aliina [53]

Answer:

The value of y is 64 ⇒ first answer

Step-by-step explanation:

* Lets study the figure to solve the question

- The figure is a polygon of 5 sides

- It has five interior angles and five exterior angles

- The sum of its interior angles depends on the number of its sides

- We can find the sum of the measures of its interior angles from this

 rule ⇒ the sum = (n - 2) × 180°, where n is the number of its sides

- The sum of the measures of its exterior angles is 360°

 (fixed for any polygon)

- The sum of the measure of an interior angle and its exterior angle

  is 180°

∵ m∠A = m∠B

∴ The exterior angle of ∠A = the exterior angle of ∠B

∵ The exterior angle of ∠B is y°

∴ The exterior angle of ∠A is y°

∵ The measure of the interior angle of the exterior angle x° is 90°

∴ 90° + x° = 180° ⇒ subtract 90 from both sides

∴ x° = 90°

∵ The polygon has five exterior angles

# Angle of measure 75 , angle of measure 67 , y° , y° , x°

∴ 75° + 67° + y° + y° + x° = 360° ⇒ sum of the exterior angles

∵ x° = 90°

∴ 75° + 67° + y° + y° + 90° = 360° ⇒ simplify

∴ 232 + 2y° = 360° ⇒ subtract 232 from both sides

∴ 2y° = 128 ⇒ divide both sides by 2

∴ y° = 64°

* The value of y is 64

4 0
3 years ago
Read 2 more answers
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