Alligators captured in Florida are found to have a mean length of 2 meters and a standard deviation of 0.35 meters. The lengths of alligators are believed to be approximately normally distributed. What is the approximate length of an alligator at the 67th percentile of alligator lengths?

a. 2.01 meters.
b. 2.44 meters.
c. 2.21 meters.
d. 2.15 meters.
e. 2.09 meters.

Answer:

The distance on a number line between -9 and -5 would be 4. This is kinda easy.

Step-by-step explanation:

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The distance between -9 and -5 on a number line is 4 units.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

On a number line, the distance between any two points can be found by subtracting one number from another, then taking its absolute values of it.

Therefore, the distance between -9 and -5 on a number line can be written as,

Distance = |-9 - (-5)|

             = |-9 + 5|

             = |-4|

             = 4

Hence, the distance between -9 and -5 on a number line is 4 units.

Learn more about the Number line here:

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A fact family is made up of three numbers. Just as in any family the members, or numbers, are related and there are always at least four math facts to be made with them. Take, for example, these members of a fact family: 6, 4, and 10.

In the family 6, 4, and 10 they are related because you can add two of the numbers to get the last number.

6 + 4 = 10

You can also switch the first two numbers, using the commutative property of addition, and still get the same answer.

4 + 6 = 10

Just find how they can relate! Hope it helps!

Answer:

3 times 6 = 18             2 times 5 = 10

6 times 8 = 18             5 times 2 = 10

18 divided by 6 = 3    10 divided by 2 = 5

18 divided by 3 = 6    10 divided by 5 = 2

Answer:

The answer would be x=7.5

Step-by-step explanation:

Answer:

x=7.5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2.45+5.5x−4.3x=1.3+0.7x

−2.45+5.5x+−4.3x=1.3+0.7x

Step 2: Combine Like Terms

(5.5x+−4.3x)+(−2.45)=0.7x+1.3

1.2x+−2.45=0.7x+1.3

1.2x−2.45=0.7x+1.3

Step 3: Subtract 0.7x from both sides.

1.2x−2.45−0.7x=0.7x+1.3−0.7x

0.5x−2.45=1.3

Step 4: Add 2.45 to both sides.

0.5x−2.45+2.45=1.3+2.45

0.5x=3.75

Step 5: Divide both sides by 0.5.

0.5x/0.5=3.75/0.5

so

x = 7.5

Answer:

false i think sry if im wrong

Step-by-step explanation:

Answer:

1st question: y=7x-51

Step-by-step explanation:

So for the first question: *aHem*

You rewrite the equation to be 5=7*8+b. The reason why is because since it will be parellel it will have the same slope, and those coordinates that you gave me I just plugged into equation.

Solve equation: 7*8=56 so now it's 5=56+b. Subtract 56 from both sides. -51=b

Rewrite again into y=7x-51. The reason why is because b means y intercept and you are looking for where to start (y-intercept) and keeping the same slope. Parallel means never touching.

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Step-by-step explanation:

Answer:

654

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

2 divided by 5 is 0.4 which is greater than .35

Answer:

0.35  <  2 /5

Step-by-step explanation:

Simplifying then comparing both terms  0.35  and  2/ 5 .

0.35  is less than  0.4  which means that the first term is less than the second term.

Answer:

44

Step-by-step explanation:

6 times 3 is 18 so.. 18 minus 69 would be -36 plus 12 is a positive 1 times 14 would be 14 minus 7 would be 7 7 times 27 would 38 plus 7 would be  45 minus one would be 44

Answer:

-186

Step-by-step explanation:

6x3-69+12x4-7(27)+7-1

18-69+48-189+7-1

-51+48-189+7-1

-3-189+7-1

-192+7-1

-185-1

-186

Answer:

X < 3

Step-by-step explanation:

To solve the equation 3x < -2x+15

the steps are as follow:

+ 2x to both sides

Result: 5x < 15

Then divide by 5 to both sides to get x alone.

Final Product:

x < 3

Answer:

264 m^3

Step-by-step explanation:

4 m * 6 m * 11 m = 264 m^3

Answer:

264

Step-by-step explanation:

Google!

Hope this helps. Good luck!

Answer:

The correct option is a. 65 to 89.

Step-by-step explanation:

According to the Empirical Rule in a normal distribution with mean µ and standard-deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:

• 68% data falls within 1 standard deviation of the mean. That is P (µ-σ≤X≤ µ+σ) = 0.68.

• 95% data falls within 2 standard deviations of the mean. That is P (µ-2σ≤X≤ µ+2σ) = 0.95.

• 99.7% data falls within 3 standard deviations of the mean. That is P (µ-3σ≤X≤ µ+3σ) = 0.997.

The information provided is:

[tex]\mu=77\\\sigma = 6[/tex]

Use the Empirical rule to compute the middle 95% of the distribution as follows:

[tex]P(\mu-2\sigma\leq X\leq \mu+2\sigma)=0.95\\\\\mu-2\sigma=77-(2\times 6)=65\\\\\mu+2\sigma=77+(2\times 6)=89\\\\\Rightarrow P(65\leq X\leq 89)=0.95[/tex]

Thus, the correct option is a. 65 to 89.

Answer:

parallel

Step-by-step explanation:

Answer:

base = 85 square inches

Step-by-step explanation:

hienght 39 square inches plz give me the brailiest

Answer:

Bace is 10 and hight is 39.

Step-by-step explanation:

9514 1404 393

Answer:

  58.7 °F

Step-by-step explanation:

At 5000 feet, the airplane is 5 times 1000 feet above the ground, so the temperature will have dropped 5 times 1.2 °F.

  64.7 - 5×1.2 = 64.7 -6.0 = 58.7

At 5000 feet, the temperature is 58.7 °F.

Answer:

(g o h)(t) = -4t² - 16t + 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

g(t) = -4t + 3

h(t) = -t² + 4t

(g o h)(t) = g(h(t))

Step 2: Find

And we have our final answer!

Answer: 11,515

Step-by-step explanation: Hope this helps:)

Answer:

11,155

Step-by-step explanation:

Beacsicly what she said

Answer: -13 x -13 = 169

Step-by-step explanation: you have to multiply -13 two times  and a negative time a negative equals a positive

Answer:

6/10

Step-by-step explanation:

The answer is A

Answer: -26 i think srry if im wrong

Step-by-step explanation:

Answer:

5

2

−

6

+

1

1

5

w

2

−

6

+

11

5w2−6+11

Simplify

1

Add the numbers

5

2

−

6

+

1

1

5

w

2

−

6

+

11

5w2−6+11

5

2

+

5

Step-by-step explanation:

Answer:

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

Step-by-step explanation:

Step(i):-

Given  sample mean (x⁻ )  = 517

sample standard deviation (s) =90

Mean of the Population (μ) =500

Null Hypothesis :- H₀ :   (μ) =500

Alternative Hypothesis : H₁ :  μ ≠ 500

Step(ii):-

Test statistic

                         [tex]t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }[/tex]

                        [tex]t = \frac{517 -500}{\frac{90}{\sqrt{100} } }[/tex]

                        t  =   1.717

Level of significance

                      ∝ = 0.05

                    t₀.₀₅ = 1.6604

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Conclusion:-

Null hypothesis is accepted at 0.05 level of significance

A company has developed a training procedure is significantly improve scores

Answer:

g= 11.5

Step-by-step explanation:

32+3g = 4g+20.5

11.5+3g = 4g

11.5 = 1g

11.5 = g

Answer:

1) There are 4 sides in a square where all the sides are equal

2) Squares have 90 degree angles!

a nd three)  it has 4 equal angles

Answer:

- all four sides are equal

- 4 right angle corners (90 degree corners)

- its also a rectangle with equal sides and a rhombus with right angles.

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

(3/4)x+7=-5

(3/4)x=-12

x=-12(4/3)

x=-16

Answer:

45

Step-by-step explanation:

Answer:

3x 4x and -5 so

3x+4x-5 is the answer

Answer:

c = 122

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

(c - 3)° + 61° = 180°

Step 2: Solve for c

And we have our final answer!