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3 years ago

Is 3.824 a rational number?

Mathematics

2 answers:

sesenic [268]3 years ago

6 0

Answer:

NopE, can’t be made into a fraction

belka [17]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

A number is rational if it can be expressed in the form p/q, where q is not zero.

3.824 can be expressed as 3824/1000.

So, it satisfies the criteria of a rational number.

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krok68 [10]

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4 years ago

Factor this <br> X^2+10+9=0

Art [367]

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3 years ago

I didn’t learn about this can you help me with this

arlik [135]

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4 years ago

Given that the equation y=mx + b where m is 12 and the line passes through the point (-2,8), what would be the value of b?

larisa86 [58]

Answer:

Step-by-step explanation:

The answer would be D. We can continue the line from the point (-2,8) because we know the slope so we will continue it forward by two on the x axis. Since we go forward by two we are going up by 24 (12*2) on the y axis so the y intercept (b) would be 8 + 24 which is 32. Sorry if it is hard to understand.

3 0

3 years ago

News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c

OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

$p=X/n=258/311=0.83$

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

$p=X/n=294/363=0.81$

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

$H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0$

4) The pooled estimate of a proportion is the average of both proportions:

$\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82$

5) The standard error can be calculated as:

$s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03$

6) The z-statistic can be calculated as:

$z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67$

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

$2P(Z>|z|)=0.50286$

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

8 0

3 years ago