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3 years ago

Yuma missed 5 points out of a possible 100. What decimal number represents the part of the math test she got right.

Mathematics

1 answer:

CaHeK987 [17]3 years ago

3 0

0.95

Consider this question in terms of percentages ( that is, out of 100)

she got 95 questions right → 95% = $\frac{95}{100}$ = 0.95

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Two integers a and B have a product of 24 what is the least possible sum of a and B

Serhud [2]

The least possible sum is 6 and 4. If your having problems, write down the factors and choose the pair that adds up the smallest number :)

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3 years ago

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Which ordered pair could replace the missing value and create a

Usimov [2.4K]

Answer:

Step-by-step explanation:

The same x value cannot be used more than once or it isn't a function.

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3 years ago

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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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3 years ago

Solve the equation x³ − 5 = 59

In-s [12.5K]

Answer:

4 = x

Step-by-step explanation:

x³ - 5 = 59 Add five to both sides of the equation.

x³ = 64 Now find the cubed root of 64

∛64 = 4

x = 4

3 0

3 years ago

A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have

klemol [59]

Answer:

Step-by-step explanation:

I used a calculator and if you add 76, 93, 89, 71 to 91 it equals 420 and if you divide that by 5 it is 84.

Hope this helps!

5 0

3 years ago