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nekit [7.7K]
4 years ago
5

Jackyn thinks that negative 1/2 is greater than 1/4 because it is farther from zero on the number line. Is her thinking correct

? Explain
Mathematics
1 answer:
ELEN [110]4 years ago
3 0
I think Jackyn is correct because 1/2 is half, which means it is .50. So 1/4 would be much smaller than .50 except if it was 2/4. The bigger the number is in negative, the smaller the number.
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Answer:

x = 9

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subtract 14 from 5

-x = -9

multiply both sides by -1 to make x positive

x = 9

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Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two
sveta [45]

Answer:

Step-by-step explanation:

From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:

                                            Alloy A        Alloy B

Sample mean                    \bar {x} _A = 49.5      \bar {x} _B = 45.5

Equal standard deviation    \sigma_A = 5         \sigma_B= 5

Sample size                          n_A = 30        n_{B}= 30

Mean of the sampling distribution is :

\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5  \\ \\ = 4.0

Standard deviation of sampling distribution:

\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667}  \\ \\ =1.2909

Hypothesis testing.

Null hypothesis:  H_o: \mu_A -\mu_B = 0

Alternative hypothesis:  H_A:\mu_A -\mu_B > 4

The required probability is:

P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}}   \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\  = 1 - [NORMDIST(3.10)]  \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq  0.0010

This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.

b)

Since the P-value is very small which is lower than any level of significance.

Then, we reject H_o and conclude that there is enough evidence to fully support alloy A.

3 0
3 years ago
40%x+x=14 <br>plzz help step by step !!!​
vova2212 [387]

Answer:

40\%x + x = 14 \\  \\  \\  \frac{40}{100} x + x = 14 \\  \\ \\   \frac{4}{10} x + x = 14 \\  \\ 0.4x + x = 14 \\  \\ 1.4x = 14 \\  \\ x =  \frac{14}{1.4}  \\ \\   \\ x =  \frac{140}{14}  \\  \\  \\ x = 10

I hope I helped you^_^

3 0
3 years ago
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