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3 years ago

What is log10100? A. 4 B. 1 C. 2 D. 3

1 answer:

7 0

The correct answer is: [C]: "2" .
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Explanation:
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Assuming the problem in the question is:

→ " What is: log₁₀ 100 ? " ;

→ which, when 'read aloud' ; is: "What is log base ten of 100<span>" ?
</span>____________________________________________________
→ To solve:
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→ " log₁₀ 100 = x " ; → Solve for "x" ;

→ 10ˣ = 100 ; Solve for "x" ;

→ that is; "10 raised to the "x th" power" = 100 " ; → Solve for "x" ;

→ The answer: "x = 2 " ;

→ {since: " 10² = 100" ; since: "10 * 10 = 100" } ;

→ log₁₀ 100 = " 2 " ; → which is: Answer choice: [C]: " 2" .
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What is the 10th term in the pattern with the formula 5n+100?

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Jusst plug in n = 10

so its 5(10) + 100 = 150

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A table is 4 ft high. A model of the table is 6 in. high. What is the ratio of the height of the actual table to the height of t

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8:1

Step-by-step explanation:

the actual table's height in inches is 4*12 = 48 inches.

48/6 = 8

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What number has a place value of that is 100 times the place value of 6 in 2,386?

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Step-by-step explanation:

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Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x

Anna11 [10]

Answer:

a) Figure attached

b) $y=1.31 x +98.57$

c) The correlation coefficient would be r =0.47719

d) $y=1.31 x +98.57=1.31*21 + 98.57 =126.08$

Step-by-step explanation:

(a) Draw a scatter diagram for the data.

See the figure attached

(b) Find x, y, b, and the equation of the least-squares line. (Round your answers to three decimal places.) x =__ y =__ b =__ y =__ + __x

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6576-\frac{300^2}{14}=147.429$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=38186-\frac{300*1773}{14}=193.143$

And the slope would be:

$m=\frac{193.143}{147.429}=1.31$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{300}{14}=21.429$

$\bar y= \frac{\sum y_i}{n}=\frac{1773}{14}=126.643$

And we can find the intercept using this:

$b=\bar y -m \bar x=126.643-(1.31*21.429)=98.571$

So the line would be given by:

$y=1.31 x +98.57$

(c) Find the sample correlation coefficient r and the coefficient of determination r?2. (Round your answers to three decimal places.)

n=14 $\sum x = 300, \sum y = 1773, \sum xy=38186, \sum x^2 =6576, \sum y^2 =225649$

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{14(38186)-(300)(1773)}{\sqrt{[14(6576) -(300)^2][14(225649) -(1773)^2]}}=0.9534$

So then the correlation coefficient would be r =0.47719

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)

The % of variation is given by the determination coefficient given by $r^2$ and on this case $0.47719^2 =0.2277$ , so then the % of variation explaines is 22.8%.

(d) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) ___ lb

So we can replace in the linear model like this:

$y=1.31 x +98.57=1.31*21 + 98.57 =126.08$

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2 years ago

What is the equation of the line through the origin and (2,5)

mezya [45]

Answer:

2y=5x+2c

Step-by-step explanation:

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2 years ago