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rusak2 [61]
2 years ago
15

Which best represents the solution set of all real numbers?

Mathematics
1 answer:
sleet_krkn [62]2 years ago
4 0

Answer:

B.

Step-by-step explanation:

Since the solution set is all real numbers, our solution graph must cover the entire number line.

We can see that B contains the graph that extends infinitely in both directions,  thereby covering the entire number line.

Therefore, our answer is B.

A is not correct because it leaves out [-6, 1] (approximately).

C is not correct because it leaves out everything to the left of -7 and everything to the right of 1.

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The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different we
Natali5045456 [20]

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

$H_0 : \mu = 13 $

$H_a : \mu \neq 13$

b). When the value of $\overline x = 12.84$

 Test statics :

   $Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $

  $Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $

          $=\frac{1.82}{0.04}$

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

3 0
2 years ago
Jerry has been learning to multiply decimals by Integers.
Bogdan [553]

Answer:

Yes

Step-by-step explanation:

Multiplying an integer by 0.01 is the same as Dividing such as :

0.01 = 10^-2

100= 10

For instance :

A number, n = 5 is multiplied by 10^-2

5 * 0.01 = 0.05

Thus, divide the number, n by 100;

5 / 100 = 0.05

Hence, the proof.

7 0
2 years ago
joseph has a new rectangular aquarium. the aquarium has a length of four feet, width of two feet and height of two feet. What is
Darina [25.2K]
12 inches go into one foot, so we can calculate the volume of the tank in inches to make the calculations that follow easier. Therefore, to calculate the volume of the tank, we use length x breadth x height = 4 x 2 x 2 = 16 square feet x 12 for square inches = 192 square inches. 
Every 12 square inches Joseph can fit a one inch fish. The fish that he has are 3 inches long, therefore he can only fit one fish every 36 square inches. 
That means that if we take the total volume of the tank and divide it by the space that a 3 inch fish will take up, we are left with 192/36 = 5.3 fish.
You cannot have a third of a fish, so we round off to the nearest whole number, and we determine that Joseph can put 5 fish in his new aquarium.
3 0
2 years ago
The surface area for a rectangular prism with a square base is SA=2s2+4sh.
torisob [31]
We know that
[surface area for a rectangular prism with a square base ]=2*s²+4*s*h

2*s²----> Is the surface area of the bases
4*s*h---> is the lateral area
s=2 units
h=4 units

[surface area for a rectangular prism with a square base ]=2*2²+4*2*4
surface area=8+32----> 40 units²

the answer is
40 units²
3 0
3 years ago
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The ratio of black bags to blue bags is 5 to 3. If there are a total of 40 bags,
Simora [160]

Answer:

24

Step-by-step explanation:

3 0
3 years ago
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