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3 years ago

How do you find the slope between (-9,10) and (-7,5)

Mathematics

2 answers:

kvasek [131]3 years ago

8 0

Answer:-5/2

Step-by-step explanation:

When there are two points given like above use this formula.

y2-y1/x2-x1

(The 1 and 2 is gonna be on the bottom right. It represents the number of y and x as there is two sets of (x,y)

stich3 [128]3 years ago

4 0

Answer:

m = ( - 5/2)

Step-by-step explanation:

(-9,10) , (-7,5)

m = (y₂ - y₁)/(x₂-x₁)

= (5 - 10) / [-7 -(-9) ]

= (5 - 10) / [-7 + 9 ]

= -5/2

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The following information was collected on 20 randomly chosen high school students, which compared their IQ score to musical apt

Mashcka [7]

Answer:

Y = 0.4925X - 22.26 ;

(-12.413, 13.398) ;

Yes, there is

Step-by-step explanation:

X = IQ Score ; Y = musical aptitude

The regression equation from the table given using the slope and intercept coefficient :

Y = 0.4925X - 22.26

0.4925 = slope ; Intercept = - 22.26

The 95% confidence interval of the slope :

Confidence interval = b ± Tcritical*SE

Tcritical at 95%, df = n - 2 = (20 - 2) = 18

Tcritical = 2.1009

b = slope Coefficient = 0.4925

S.E = 6.143

Hence, we have :

Confidence interval = 0.4925 ± (2.1009 * 6.143)

Confidence interval = 0.4925 ± 12.9058287

Lower boundary = 0.4925 - 12.9058287 = - 12.413

Upper boundary = 0.4925 + 12.9058287 = 13.398

(-12.413, 13.398)

There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.

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3 years ago

Ivan wants to fill with foam the empty space left in a cube-shaped box after he places a basketball in the box. How many cubic i

Ann [662]

Answer:

280 cubic inches

Step-by-step explanation:

Cubic inches of foam required = volume of the box - volume of the basketball

The box has a shape of a cube, so that;

volume of the box = $l^{3}$

where l is the length of the sides of the box.

volume of the box = $9^{3}$

= 729 cubic inches

volume of the box = 729 cubic inches

The basketball has the shape of a sphere, so that;

volume of the basketball = $\frac{4}{3}$ $\pi$ $r^{3}$

= $\frac{4}{3}$ x 3.14 x $(4.75)^{3}$

= 448.693

volume of the basketball = 448.693 cubic inches

Thus,

cubic inches of foam required = 729 - 448.693

= 280.307

The cubic inches of foam to be used is 280 cubic inches.

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3 years ago

Jack draws a rainbow which is a parabola that has the equation

madreJ [45]

Answer:

Step-by-step explanation:

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