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sdas [7]
3 years ago
13

which of these is a subset of rational numbers? a. integers b. natural numbers c. whole numbers d. all of the above

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0
D. All of the above. They are all rational numbers
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A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The
Oksanka [162]

Answer:

a) [-0.134,0.034]

b) We are uncertain

c) It will change significantly

Step-by-step explanation:

a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.

Since we assume that the variances are equal, we use the pooled variance given as

s_p^2 = \frac{ (n_1 -1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2},

where n_1 = 40, n_2 = 30, s_1 = 0.16, s_2 = 0.19.

The mean difference \mu_1 - \mu_2 = 10.85 - 10.90 = -0.05.

The confidence interval is

(\mu_1 - \mu_2) \pm t_{n_1+n_2-2,\alpha/2} \sqrt{\frac{s_p^2}{n_1} + \frac{s_p^2}{n_2}} = (-0.05) \pm t_{68,0.025} \sqrt{\frac{0.03}{40} + \frac{0.03}{30}}

= -0.05\pm 1.995 \times 0.042 = -0.05 \pm 0.084 = [-0.134,0.034]

b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.

c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.

6 0
3 years ago
How do you solve 8x-43?
barxatty [35]

Answer:

-5

Step-by-step explanation:bro all u have to do is divide 8 by -43

3 0
3 years ago
Draw a tape diagram to represent 3+5-5=3
xxTIMURxx [149]

Answer:

i will have to draw it for you

Step-by-step explanation:

the reason why there is an X on the 5 squares is because you added then subtracted them

8 0
3 years ago
What are the two words that allow you to check your division problem backward?
Dahasolnce [82]

Answer:

inverse operation

Step-by-step explanation:

Inverse means opposite. The opposite of division is multiplication. For example, if you divided 15 by 3, the answer is 5. If you multiply 5 by 3, the answer is 15. You know your answer is correct by checking it with the inverse operation.

Hope this helps!! Have a wonderful day :3

3 0
3 years ago
Gabe rounds 9.456 to the nearest hundredth. Then, he rounds the result to the nearest tenth. Last, he rounds that result to the
larisa86 [58]

Answer:

390

Step-by-step explanation:

.

4 0
2 years ago
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