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Flauer [41]
3 years ago
11

True or false and why: if a and b are irrational, then a^b is irrational

Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

False


b could be the logarithm of a rational number to the base a. For example,

b=\log_\pi{(4)}   will be irrational, but π^b = 4, a rational number

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9 bc 3 times 3 is nine :D
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3 years ago
Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor’s. A sample of 40 bab
Leviafan [203]

Answer:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Step-by-step explanation:

Information given

\bar X_{1}=7.6 represent the mean for Gibbs products

\bar X_{2}=8.1 represent the mean for the competitor

\sigma_{1}=2.3 represent the population standard deviation for Gibbs

\sigma_{2}=2.9 represent the sample standard deviation for the competitor

n_{1}=40 sample size for the group Gibbs

n_{2}=55 sample size for the group competitor

\alpha=0.05 Significance level provided

z would represent the statistic

Hypothesis to verify

We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}< 0  

The statistic would be given by:

z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

Replacing the info given we got:

z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936  

The p value can be founded with this formula:

p_v =P(z  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

5 0
3 years ago
The endpoints of a line segment graphed on the coordinate system are (−7, 3) and (2, 5). What is the range of the graph?
Eduardwww [97]
I think the answer would be C
4 0
3 years ago
HELP PLEASE ASAP !!!
Zepler [3.9K]

Answer:

X = 6.25 ft.

Step-by-step explanation:

From the figure:

∵ Two angles in the small flag = the corresponding angles in the large flag

∴ Two flags are similar

∴ Their sides are proportional

∴ \frac{4}{5}=\frac{5}{x} \\ x=\frac{(5)(5)}{4}=6.25

∴ x = 6.25 ft

8 0
3 years ago
Simplify: -2 1/3 - (-10 1/6) 1) -12 1/2 2) 12 1/2 3) 7 5/6 4) -7 5/6
marshall27 [118]

Answer:

- 5 16/22

Step-by-step explanation:

idk

7 0
3 years ago
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