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zheka24 [161]
2 years ago
9

What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times

10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction A.The coefficient of the solution is 6.4, the difference of the original coefficients. B.The exponent of the solution is –12, the difference of the original exponents. C.The coefficient of the solution must be greater than or equal to one but less than 10. D.The quotient is 3.0 × 10-12 E.The solution is a very large number
Mathematics
1 answer:
Nadusha1986 [10]2 years ago
3 0

The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.

<h3>What is division?</h3>

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are given below.

(9.6 x 10⁻⁸) and (3.2 x 10⁴)

Then the quotient of the expressions will be

⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)

⇒ (3 x 10⁻⁸) / (10⁴)

⇒ 3 x 10⁻⁸ x 10⁻⁴

⇒ 3 x 10⁻⁸⁻⁴

⇒ 3 x 10⁻¹²

Then the correct option is D.

More about the division link is given below.

brainly.com/question/369266

#SPJ1

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Predicted final score of Josh = 62.5

Step-by-step explanation:

The linear regression relationship has been established between the final-exam score and  the score on the first test

The relation ship is represented by a linear equation -

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Y= final-exam score

Substituting the value of x in above equation we will get -

Y = 10 + 0.75 * 70\\Y = 10 + 52.5\\Y = 62.5

Predicted final score of Josh = 62.5

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A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th
Burka [1]

Answer:

Confidence interval : 21.506 to 24.493

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = \bar{x}=\frac{\sum x}{n}

Sample mean = \bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}

Sample mean = \bar{x}=23

Sample standard deviation = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}

Sample standard deviation = \sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}

Sample standard deviation= s = 1.72

Degree of freedom = n-1 = 20-1 -19

Critical value of t using the t-distribution table t_{\frac{\alpha}{2} = 3.883

Formula of confidence interval : \bar{x} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}}

Substitute the values in the formula

Confidence interval : 23 \pm 1.73 \times \frac{1.72}{\sqrt{20}}

Confidence interval : 23 -3.883 \times \frac{1.72}{\sqrt{20}} to 23 + 3.883 \times \frac{1.72}{\sqrt{20}}

Confidence interval : 21.506 to 24.493

Hence Confidence interval : 21.506 to 24.493

3 0
3 years ago
Read 2 more answers
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