please help, due today thanks

Answer:

The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930

Step-by-step explanation:

We start by finding the z-score of each

Mathematically;

z-score = (x - mean)/SD

for 12.2 cm

z-score = (12.2 - 15)/2 = -2.8/2 = -1.4

For 16.5 cm

z-score = (16.5 -15)/2 = 1.5/2 = 0.75

So the probability we want to calculate is;

P( -1.4 < z < 0.75)

we can calculate this using the normal distribution table

Mathematically;

P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)

= 0.2263 + 0.30738

= 0.69262

Answer: y=3x+3

Step-by-step explanation:

The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The point (1, 6) and is perpendicular to the line x + 3y = 27

The slope of the line x + 3y = 27

m = -1/3

The slope of the line perpendicular to the line x + 3y = 27:

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

M = 3

The equation of the line:

y - 6 = 3(x - 1)

y = 3x + 3

Thus, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3

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Answer: D. y = 2(x - 6)^2 - 3

Step-by-step explanation: see attachment. i hope this helped :)

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

The vertex form of the equation of a parabola is:

[tex]y = a(x - h)^2 + k[/tex]

where the vertex = (h, k)

The given vertex, (h, k) = (6, -3)

The line passes through the (8, 5)

x  =  8,  y  =  5

Substitute x = 8, y = 5, h = 6, y = -3 into the equation to solve for a

[tex]y = a(x - h)^2 + k[/tex]

[tex]5 = a(8 - 6)^2 + (-3)\\5 = a(2^2)-3\\4a = 5 + 3\\4a = 8\\a = \frac{8}{4} \\a = 2[/tex]

Substitute a = 2, h = 6, k = -3 into [tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - 6)^2-3\\[/tex]

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

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Answer:

10.50$

Step-by-step explanation:

Answer:

6b-8=58

b=11

Step-by-step explanation:

Answer:

8^2+20-30x

Step-by-step explanation:

Answer:

Hello

B. -19

Step-by-step explanation:

= (-7)+7-(19)

= (-7+7)-19

= 0-19

= -19

Answer:

10^6

Step-by-step explanation:

Answer:

[tex]10 {}^{6 } = 10000000[/tex]

Thank you ☺️☺️

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

1. 270 meters

2. 9 centimeters

3. 14 kilometers

4. 135 square meters

5. 24 square meters

6. the volume of the swimming pool is 144

Step-by-step explanation:

Answer:

y = (1/3)x - 27 <-- perpendicular line

Step-by-step explanation:

9x + 3y = (-27)

3x + y = (-27)

y = (-3x) - 27 <-- original line

y = (-3x) - 27 <-- original line

slope = (-3)

slope = (-3/1)

inverse = (1/-3)

negative inverse = (1/3)

y = (1/3)x - 27 <-- perpendicular line

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

Answer:

y  = [tex]\frac{1}{2}[/tex]x - 2

Step-by-step explanation:

Given parameters:

    Coordinates = p(4,0)

  Equation of the line   -x+2y=12​

Solution:

A line parallel to the given line will have the same slope as it is;

     -x+2y=12​

          2y = x + 12

            y = [tex]\frac{1}{2}[/tex]x + [tex]\frac{12}{2}[/tex]

 Since this conforms to y = mx + c where;

    x and y are the coordinates

    m is the slope

   c is the intercept

Our slope is [tex]\frac{1}{2}[/tex]

The equation of the line is

      y = mx + c

let us find c;

     c  = y - mx

     c = 0 - ([tex]\frac{1}{2}[/tex] x 4)

     c = -2

Now the equation of the line parallel to the line given is;

     y  = [tex]\frac{1}{2}[/tex]x - 2

Answer:

the answer is B because 2x3 is ainzqwndwqncjnjqanc2ejn2qncb

Step-by-step explanation:

400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

Given that,

Tina kept track of the calories she expended while riding her bike. After x hours, the graph displays Tina's calories burned, y.

We have to find what was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

What is a graph?

A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The relationships between two or more objects are often shown by the points on a graph.

Therefore, 400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

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Answer: 3.083 pounds

Step-by-step explanation:

Amount of walnuts gathered by Carly = 3.5 pounds

Amount of walnuts gathered by Brandon = 3.75 pounds

Amount of walnuts gathered by Wyatt = 2 pounds

Total walnuts gathered = 3.5 + 3.75 + 2 = 9.25 pounds

Since they shared the walnuts equally, each person will get:

= 9.25pounds/3

= 3.083 pounds

Answer:

The answer is " E'F' and EF are equal in length".

Step-by-step explanation:

By rotating that through some degree, a revolution is some kind of rigid transformation, which creates an image of the very same shape and size. There will be two main properties of the rotation:

In each line, the segment is rotated counterclockwise 180 degrees around the origin to form E'F, that's why the above given choice is correct.

Answer:

The answer is " E'F' and EF are equal in length

Step-by-step explanation:

Answer:

this question doesn't make since

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

give data

time= 8hours

distance=385mile

speed=?

Step two:

let us solve for the speed

Speed= distance/time

Speed=385/8

speed=48.125miles per hour

Step three:

let's find the time taken to cover 1000mile at the speed of 48.125 mi per hour

speed=distance/time

time=distance/speed

time=1000/48.125

time=20.779hours

approximately 21 hours

Answer:

25.7 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 inches = 5 miles.

So if you divide both sides by 2,

1 inch = 2.5 miles

To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5

6.5 inches = 2.5 x 6.5 = 16.25 miles

Answer:

set middle number=x

then left side number=x-1

and right side number=x+1

(x-1)+x+(x+1)＝30

3x=30

x=10

x-1=9

x+1=11

numbers are 9,10,11

Answer:

Step-by-step explanation:

x2 + 2x - 7 + 11x2 - 5x - 1

Solving like terms

12x2 - 3x - 8

Answer:

y=-x-3

Step-by-step explanation:

Formula (point slope): y-y1=m(x-x1)

y-(-3)=-1(x-0)

(distribute the -1)

y+3=-1x+0

(combine like terms)

y=-1x-3

Answer:

90 minus 10 is 80 so $80 left

Answer:

$28.80

Step-by-step explanation:

16 times 0.8 = 12.8 + 16 = 28.80

Answer:

y-intercept: (0, -2)

x-intercept: (6, 0)

Step-by-step explanation:

The y-intercept is the value of y when x =0. Substitute 0 for x to find the y-intercept.

[tex]3x - 9y = 18[/tex]

[tex]3(0) - 9y = 18[/tex]

[tex] - 9y = 18[/tex]

[tex]y = - 2[/tex]

When x = 0, y = - 2 so the y-intercept is (0, - 2).

The x-intercept is the value of x when y = 0. Substitute 0 for y in the equation to find the x-intercept.

[tex]3x - 9y = 18[/tex]

[tex]3x - 9(0) = 18[/tex]

[tex]3x = 18[/tex]

[tex]x = 6[/tex]

When y = 0, x = 6 so the x-intercept is (6, 0).

Answer:

If the product of any two numbers is zero,then one or both of the numbers is zero.That is,if ab=0, then a=0 or b=0 (which includes the possibility that a=b=0).

Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Step-by-step explanation:

Given: Humans shed about 3million particles of skin every 5 hours.

Since, 1 million = 1,000,000

Then 3 million = 3 x 1 million

[tex]= 3 \times1,000,000[/tex]

[tex]= 3,000,000[/tex]

[tex]=3\times10^6[/tex]

On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6

So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .

Answer:

6

Step-by-step explanation:

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

Answer:

80

Step-by-step explanation:

The formula to calculate speed is s=d/t. If the distance is 2,000 m/s and the time is 25 seconds, you plug in the numbers into the formula for speed. 2,000/25=80

The satellite's acceleration (speed) is 80.

(I'm not exactly sure what the unit should be for the answer 80, but...) I hope this helps and have a great day!! :3

Answer:

<RQS=121

Step-by-step explanation:

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