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3 years ago

Find the distance between each pair of points.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

4 0

Answer:

Between each pair of points are coordinates K(x1,y1) F(x2, y2)

Distance KF =sqrt( (x2 - x1) ² + (y2 - y1) ²)

Step-by-step explanation:

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The accompanying data on x= head circumference z score (a comparison score with peers of the same age - a positive score suggest

djverab [1.8K]

Answer:

$r=0.77$ , $\hat{y}=770.50+39.37x$ and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is $\hat {y}=920.10$

Step-by-step explanation:

We attached a table below,

$(a)$ We attached a table below,

Therefore ,

correlation coefficient $r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 } }$

$=\frac{41.04}{53.19}$

$=0.77$

$(b)$ We calculate the least squares equation.

$b_1=r(\frac{\sigma_y}{\sigma_x} )\\ =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\ =0.77(\frac{52.15}{1.02} )\\ =0.77(51.13)\\ =39.37$

Now , calculate intercept coefficient.

$b_0=\bar{y}-r\bar{x}\\$

$=(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50$

Therefore, the regression equation is, $\hat{y}=770.50+39.37x$

$(c)$ Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8

$\hat{y}=770.50+39.37x$

$=770.50+39.37(1.9)\\=770.50+74.80\\=920.10$

5 0

2 years ago

Here's Francesca's description of the scatterplot:

aivan3 [116]

The answer is a . because i said so .

6 0

2 years ago

An edge on a cube is the line segment joining two vertices. What is the sum of the lengths of the edges if each edge measures 12

eduard

Square root acts like a variable, so since there are 12 edges you want to distribute one length of an edge by 12. in the end youll get 144 + 120 square root 6

5 0

3 years ago

And multiply

Lilit [14]

Answer:

91 grams

Step-by-step explanation:

To get a percentage you go the number which you want the percentage of divided by the full number then multiply all that by 100. For example, (10 / 100) x 100 = 10, so 10 is 10% of 100.

Now lets call the answer x:

(x / 130g) x 100 = 30%

Now you need to get x on its own, so you need to rearrange it:

x = (30 x 130) / 100

When you change the sides, you change the signs.

With this equation we can work out what 30% of 130 is. So,

(30 x 130) / 100 = 39g

So, 39g is 30%. To find out how much sugar is in the diet juice you need to subtract this from the regular cranberry juice sugar:

130 - 39 = 91g

So there is 91 grams of sugar in a serving or diet juice.

7 0

3 years ago

Out of 32 students in a class,5 said their bikes to school.Based on these results,how many of the 800 students in the school rid

Art [367]

5 ?

----- = --------

32 800

5 out of 32 is how many out of 800

cross products

5*800 = 32 * ?

divide by 32

5*800/32 = ?

125=?

125 students ride their bikes

4 0

2 years ago