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3 years ago

10

there are 132 projects in a science fair if 8 projects can fit in a roll how many full roles of project can be made how many pro

ducts are in the road that is not full

2 answers:

zepelin [54]3 years ago

4 0

Answer:I think the answer is 16 full and 4 not full

Step-by-step explanation:I know this because,132÷8=16 remainder 4.

katen-ka-za [31]3 years ago

3 0

The answer is 16.4 there you go

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Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$

Midpoint of given line

$= ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )$

$= ( \frac{ - 6}{2} , \frac{ - 4}{2} )$

$= ( - 3 , - 2)$

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 <em>(</em><em>-</em><em>6</em><em> </em><em>on both</em><em> </em><em>sides</em><em>)</em>

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

5 0

2 years ago

For a standard normal distribution, find the approximate value of P(-0.78 = z = 1.16). Use the portion of the standard normal ta

VikaD [51]

Correction:

I think the question should be like that find the approximate value of

P(-0.78 < z < 1.16)?

Now,

the symbol Ф represent the cumulative density.

first find the

Ф(1.16) from the above given table which is equal to 0.8770.

Now,

find the Ф(-0.78) .

in our table we are given the value of Ф(0.78)=0.7823

so as the curve is symmetrical Ф(-0.78)=1-0.7823=0.2177

P(-0.78 < z < 1.16) = Ф(1.16)-Ф(-0.78)

= 0.8770-0.2177

= 0.6593

6 0

2 years ago

Read 2 more answers

Nine out of ten students prefer math class over lunch. How many students do not prefer math if 200 students were asked

Nimfa-mama [501]

Answer:

i think probably 20

Step-by-step explanation:

if 200 students, students do not prefer math 10/100 × 200 = 20

4 0

2 years ago

A savings account earns 5.32% interest in one year. If the account holds $4,978 for the entire year, about how much will it earn

Degger [83]

Answer:

264.8296, or 264.8 simplified.

Step-by-step explanation:

You would multiply 4,978 by 0.532, and you'd get 264.8.

3 0

3 years ago

C) Find the point of trisection of the line segment AB, where A<br> (-6, 11) and B (10, -3).

PtichkaEL [24]

Answer:

Step-by-step explanation:

Δx = 10-(-6) = 16

Δy = -3-11 = -14

(-6+16/3, 11-14/3) = (-⅔, 6⅓)

(10-16/3, -3+14/3) = (4⅔, 1⅔)

6 0

2 years ago