The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. In a collection of 300 salamanders, about how many have length greater than 16.8cm? (round answers to the nearest hundredth and show your work in the sketch area at left)

Answer:

x = -3

Step-by-step explanation:

3(x-4)-6=9x

Distribute

3x -12 -6 = 9x

Combine like terms

3x -18 = 9x

Subtract 3x from each side

3x -18-3x =9x-3x

-18 = 6x

Divide by 6

-18/6 = 6x/6

-3 = x

Answer:

X=-3

Step-by-step explanation:

Answer:

55? What does that mean? Math 55?

Step-by-step explanation:

Answer: I’m sorry, but what is this? What’s the question?

Step-by-step explanation: Thank You! :)

Answer:

c

Step-by-step explanation:

Answer:

Also 10

Step-by-step explanation:

This type of triangle has two sides of equal length

Answer:

The slope of line c is 1

Step-by-step explanation:

The given information are;

The coordinates of the points on the line a are; (-3, 3) and (3, -3)

The coordinates of the points on the line b are; (-3, -2) and (2, 3)

Line c ║ line b

Line b ⊥ line a

Line c ⊥ line a

Therefore, we have

The slope, [tex]m_c[/tex] of line c is equal to the slope, [tex]m_b[/tex], of line b Definition of parallel lines (The slopes of parallel lines are equal)

[tex]m_c[/tex] = [tex]m_b[/tex]

Therefore, the slope, m, of the line b is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where, for line b, (x₁, y₁) = (-3, -2) and  (x₂, y₂) = (2, 3), we have;

[tex]Slope, \, m_b =\dfrac{3-(-2)}{2-(-3)} = \dfrac{3 + 2}{2 + 3} = 1[/tex]

From [tex]m_c[/tex] = [tex]m_b[/tex] = 1, the slope of line c = 1.

Answer:

its 1

Step-by-step explanation:

took quiz

Answer:

y=2/3x-4

Step-by-step explanation:

y-b=m(x-a)

y--4=2/3(x-0)

y+4=2/3(x-0)

3y+12=2(x-0)

3y+12=2x-0

3y=2x-12

y=2/3x-4

The value of x in the triangle is -5

The sum of angles in a triangle is 180 degrees.

So, we have:

x + 35 + 60 + 90 = 180

Evaluate the sum

x + 185 = 180

Subtract 185 from both sides

x = -5

Hence, the value of x in the triangle is -5

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Answer: C

Step-by-step explanation: 2+2 which is 4

So here is the example for you:))

You have 2 apples and I gave you 2 more apples add all them together how many TOTAL apples you have now?

If 1 plus (+) 1 is 2(two) then 2 plus(+) 2 Is 4

Hope you get it have a good time :))

Answer:

y=2+x/5

Step-by-step explanation:

Answer:

y=2+[tex]\frac{x}{5}[/tex]

Step-by-step explanation:

subtract x from both sides to get

5y=10-x

divide both sides by five to get

y=2+[tex]\frac{x}{5}[/tex]

Answer:

Nancy High

Joe Low

Answer:   x - 2 > 30

....................................

Answer: 0.4

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Answer:

answer is 96

Step-by-step explanation:

96 os the answer of this question

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Total point = 818

Let number of 3 point goals = p

Number of 2 point goals = 2p - 69

Number of 1 point = 2p - 69 - 28 = 2p- 97

3p + 2(2p - 69) + 1(2p - 97) = 818

3p + 4p - 138 + 2p - 97 = 818

9p - 235 = 818

9p = 818 + 235

9p = 1053

p = 117

Hence ;

number of 3 point goals = 117

Number of 2 point goals = 2(117) - 69 = 165

Number of 1 point = 2(117) - 97 = 137

[tex]\angle z = 92[/tex]

Answer:

z = 92

Step-by-step explanation:

z = it's opposite angle

You need to figure out another angle in the triangle containing the 42-degree angle.

There are multiple ways to get there, but going from the 95 degree angle is how I will explain.

95 = 42 + 53

So, think the two small triangles are one big triangle.

95 + 39 = 134

180 - 134 = 46

Now back to the smaller one-

42 + 46 = 88

180 - 88 = 92

The opposite angle to z is 92, making z = 92.

Answer:

x = 2

Step-by-step explanation:

Step 1:

Simplify both sides of the equation.

Step 2:

Subtract 3x from both sides.

Step 3:

Add 2 to both sides.

Step 4:

Divide both sides by 5.

Answer:

D is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

30

Step-by-step explanation:

20+2((3)(7)−(4)(4))

=20+2(21−(4)(4))

=20+2(21−16)

=20+(2)(5)

=20+10

=30

The result from subtracting (-x⁴ + 3x³ + 2x² - 1) from (2x⁴ - x² + 5x - 2) is the algebra expression 3x⁴ - 3x³ - x³ + 5x - 3.

We first open the bracket;

(2x⁴ - x² + 5x - 2) - (-x⁴ + 3x³ + 2x² - 1) = 2x⁴ - x² + 5x - 2 + x⁴ - 3x³ - 2x² - 1

then we collect like terms;

(2x⁴ - x² + 5x - 2) - (-x⁴ + 3x³ + 2x² - 1) = 2x⁴ + x⁴ - 3x³ - x² - 2x² + 5x - 2 - 1

(2x⁴ - x² + 5x - 2) - (-x⁴ + 3x³ + 2x² - 1) = 3x⁴ - 3x³ - 3x² + 5x - 3

Therefore, the solution for the subtraction of the expression (-x⁴ + 3x³ + 2x² - 1) from (2x⁴ - x² + 5x - 2) is the algebraic expression 3x⁴ - 3x³ - 3x² + 5x - 3.

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Answer:

D

Step-by-step explanation:

4-4=0

Answer:

the answer is D.The player runs 4 meters forward and then runs 4 meters in the opposite direction. I did this test and because

positive 4 and negative 4 is the sum of 0

hope this helps you ^.^

Answer:

24 in all

Step-by-step explanation:

1,100/45=24

25+20=45

The number of volleyballs are 30, and the number of soccer balls are 20 that the coach can order.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of each volleyball is $20.

And, The cost of each soccer ball is $25.

The coach plans to order at least 50 volleyballs and soccer balls and he can spend a maximum of $1,100.

Now,

Let number of volleyballs = x

Number of soccer balls = y

So, We can formulate;

⇒ x + y = 50

⇒ $20x + $25y = $1100

Solve both equation as;

From equation (i);

⇒ 20x + 20y = 1000

Subtract above equation from (ii), we get;

⇒ 25y - 20y = 1100 - 1000

⇒ 5y = 100

⇒ y = 20

And, x + y = 50

x + 20 = 50

x = 30

Thus, The number of volleyballs are 30, and the number of soccer balls are 20 that the coach can order.

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Answer:

Infinite solutions

Step-by-step explanation:

First distribute -1/2 to 4x and -10 and get -2x+5

Then plug it into the equation which would be -2x + 5 = 5 - 2x

And that would be 0=0 because they are the exact same but in a different order.

And 0=0 is true so it is infinite.

Answer:

Will can buy 8 pounds of granola with $10.

Step-by-step explanation:

If it is $3.75 for 3 pounds of granola then it is $1.25 for 1 pound of granola.

1.25 * x = 10

this equation will allow us to find a number that will add up to 10.

Another way to write this equation is:

10/1.25 = x

10/1.25 = 8

Now check your work:

1.25 * x = 10

1.25 * 8 = 10

10 = 10

Final Answer:

Will can buy 8 pounds of granola with $10.

Answer:

C

Step-by-step explanation:

Based on the slope of the graph in front of you, the cost of a shirt that Sarah paid was 15 dollars, you can see where, if you look at where it crosses 2 shirts for 30 and 4 shirts for 60, which is 15 dollars a shirt. Hiliary automatically pays 18 a shirt as shown by the equation. 15<18. so Sarah

Answer: 33 R 11 or 33 11/18

Step-by-step explanation:

Answer:

Which points are collinear?

G, A, and T

G, E, and T

A, T, and E

G, A, and E

Step-by-step explanation: