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2 years ago

For the rectangular prism, the length is 3 1/2 inches, and the height is 5 1/2 inches.

Mathematics

2 answers:

svetlana [45]2 years ago

5 0

Answer:

no answer

Step-by-step explanation:

This is because,before finding the width,length,and height of the block, there should be a stated volume,or some other parameters or properties of the prism must be stated, as such the answer cannot be determined

Helga [31]2 years ago

3 0

Answer:

thanks

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:

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

7 0

2 years ago

Can someone help me please?

Gwar [14]

Answer:

10.5 cm^2

Step-by-step explanation:

Area of a triangle = 1/2(L x H)

Reading from the diagram

length = 7 cm

height = 3 cm

therefore

Area of the triangle = 1/2( 7×3)

Area = 10.5 cm^2

4 0

2 years ago

1)The price of a sweater was slashed from #960 to $816 by a shopkeeper in the winter season. Find the rate of discount given by

Annette [7]

Answer:

The discount% is 15%

Step-by-step explanation:

Given : The price of a sweater was slashed from Rs 960 to Rs 816 by a shopkeeper in the winter season.

To find : The rate of discount given by him?

Solution :

According to question,

The market price of the sweater is Rs.960

The selling price of the sweater is Rs.816

The discount on the sweater is given bY

Discount % is given by

Therefore, The discount% is 15%.

8 0

3 years ago

Item 16 An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people b

nignag [31]

Answer:

3:16 P.M.
5:22 P.M.

Step-by-step explanation:

The two dump intervals have a greatest common factor (GCF) of 3, so their least common multiple (LCM) is ...

(18)(21)/3 = 126 . . . . minutes

This period is 2 hours 6 minutes. The last time both dumped was 1:10, so the next time both will dump is ...

1:10 +2:06 = 3:16 . . . P.M.

and the next time after that is ...

3:16 +2:06 = 5:22 . . . P.M.

4 0

3 years ago

Mrs.hill buys jalapeno peppers for $0.88 a pound. How much would she pay for 2.2 pounds?

Darina [25.2K]

1.32 that would be the answer because you would have to times it

7 0

3 years ago

Read 2 more answers