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Natali5045456 [20]
3 years ago
11

Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. Is Sara

h correct? Explain 
Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0
No, she is wrong. 0.00001 has 4 zeros in front of the one and behind the decimal, making it 1/100000 or 1/10^5. For 0.001, there are 2 zeros in front, making it 1/1000 or 1/10^3. Since a number gets smaller as the denominator gets larger, and 10^5>10^3, 1/10^5<1/10^3
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Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th
denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3

The (1 - <em>α</em>)% confidence interval for the difference between two mean is:

CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }

The critical value of <em>t</em> is:

\alpha /2=0.05/2=0.025

degrees of freedom =n_{1}+n_{2}-2=200+200-2=398

t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96

Compute the 95% confidence interval for the difference between two mean as follows:

CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0
3 years ago
Convert the number to standard form.<br><br> 8.71 xx10^(12)
ExtremeBDS [4]

8.71 xx10^(12)

The exponent is a positive number. This means the decimal point moves to the right by  the number of the exponent.

There are two digits to the right of the decimal point, so to move the decimal 12 places, you would need to add 10 zeros.

8.71 x 10^12 becomes 8,710,000,000,000.

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4 years ago
The interval(s) for which the function shown below is increasing
Oduvanchick [21]

Answer:

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(between -inf and 2 and between 5 and inf)

Step-by-step explanation:

pls brainlist

5 0
3 years ago
A(b + c) = a • b + a • c, where a, b, and c are real numbers
blagie [28]

Answer:

a(b + c) = a • b + a • c

=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32

Step-by-step explanation:

4 0
3 years ago
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Answer:

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f(2) = 16/3

3 0
3 years ago
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