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2 years ago

9

write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros 3,

4+i

1 answer:

telo118 [61]2 years ago

4 0

This polynomial will be 3 with the leading coefficient of 1

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The weights (in pounds) of 18 preschool children are

ivanzaharov [21]

Answer:

22.8 and 37.5

Step-by-step explanation:

Given the

The weights (in pounds) of 18 preschool children are

32, 20, 25, 27, 31, 22, 30, 23, 44, 37, 33, 45, 41, 24, 34, 21, 39, 29

To find its 20th percentile and 75th percentile.

In ascending order we get like this

Position X (Asc. Order)

1 20

2 21

3 22

4 23

5 24

6 25

7 27

8 29

9 30

10 31

11 32

12 33

13 34

14 37

15 39

16 41

17 44

18 45

Percentile position = (no of entries +1)20/100 = 19/5 = 3.8

Since posiiton is not integer we use interpolation method.

The value of 3.8 - 3 = 0.8 corresponds to the proportion of the distance between 22 and 23 where the percentile we are looking for is located at.

Hence 20th percentile = $22+0.8(23-22)=22.8$

So answer is 22.8

----------------------

75th percentile

Percentile posiiton = 19(75)/100 = 14.25

75th percentile= $37+0.25(39-37)=37.5$

6 0

3 years ago

A ladder is leaning up against a 17 foot Wall at an angle of elevation of 37°. How far is the foot of the latter from the wall?

inn [45]

This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)

6 0

3 years ago

If the sin 90 = 1 , then the cos 0 =

fenix001 [56]

Rule of trigonometric functions:-

sin a = cos(90 - a)

Here a = 90°.

sin 90 = cos (90 - 90)

1 = cos 0.

cos 0 = 1.

So the cos 0 = 1.

7 0

3 years ago

Read 2 more answers

the midpoint is AB is M(3,-2). One endpoint is A(7,-9). Find the coordinates of the other endpoint B.

cestrela7 [59]

Answer:

<em>The required points of the given line segment are ( - 1, - 5 ).</em>

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( 3, -2 ) and point A is ( 7, - 9), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ )then the mid points M are-

<em>M = ( $\frac{ x_{1} + x_{2} }{2}$ , $\frac{ y_{1} + y_{2} }{2}$ )</em>

Here,

<em>Let A ( 7, - 9 ), B ( x, y ) with midpoint M ( 3, - 2 ) -</em>

then by the midpoint formula M are-

<em>( 3, - 2 ) = ( $\frac{ 7 + x}{2}$ , $\frac{ - 9 + y}{2}$ )</em>

On comparing x coordinate and y coordinate -

We get,

<em>( $\frac{ 7 + x}{2}$ = 3 , $\frac{ - 9 + y}{2}$ = - 2)</em>

<em>( 7 + x = 6, - 9 + y = - 4 )</em>

<em>( x = 6 - 7, y = - 4 + 9 )</em>

<em>( x = - 1, y = -5 )</em>

<em>Hence the required points A are ( - 1, - 5 ).</em>

<em>We can also verify by putting these points into Midpoint formula.</em>

<em />

8 0

3 years ago

2x^2-21x-36. Can someone help me out?

sergeinik [125]

-752<span>thatswhat the answer should be
</span>

8 0

3 years ago

Read 2 more answers