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Using the Empirical Rule, it is found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

The Empirical Rule states that, for a normal variable:

In this problem:

4.6 = 7 - 2(1.2)

9.4 = 7 + 2(1.2)

Within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.

A similar problem is given at https://brainly.com/question/24537145

Answer:

The average is exactly 26,375 gallons of gas per hour.

How I found this is buy subtracting each numbers like 422,000 - 369,250 = 52,750. 369,250 - 316,500 = 52, 750 and so on. They all ended up being 52,750, but then I realized that they are all 2 hours apart and the question asks of gallons of gas per 1 hour so then I divided 52,750 in half and got my final answer, 26,375.

Step-by-step explanation:

This is how much gas the jet uses per 1 hour

my question doesn't ask me to create a linear model but it asks for gasoline per hour, and it's just like this question with the same graph so if you have the same as me this is the answer.

Answer:

40 degrees

Step-by-step explanation:

so, a triangle is 180 degrees. you know that one angle is 60 degrees.

180= 60+ 2x + x

this is the equation of the triangle

120=3x

simplify

40=x

x= 40 degrees

hope this helps :)

Answer:

do you still need the answer?

Step-by-step explanation:

Answer:

30m + 75

$255

Step-by-step explanation:

Since John  has to pay a monthly fee of 0, you can let m represent the number of months and then add the one time membership fee of $75.

30 multiplied by 6 is 180 and 180 plus 75 is 255.

57485743i753i457394574930

Answer: x = 3.030631 approximately

Explanation:

If you want to solve for x, then you could follow these steps:

[tex]18 = 1.57*x^{2.2}\\\\18/1.57 = x^{2.2}\\\\11.464968 \approx x^{2.2}\\\\x^{2.2} \approx 11.464968\\\\x \approx (11.464968)^{\frac{1}{2.2}}\\\\x \approx 3.030631\\\\[/tex]

In the second to last step, we have the value 11.464968 raised to the exponent of 1/(2.2) which is done to undo the exponent of 2.2 in the previous line.  The rule used is [tex]a^b = c \to a = c^{1/b}[/tex]

Answer:

i cant see anything

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x-2y=24

x+2y=12

add the two equations

(5x-2y)+(x+2y)=24+12

6x=36

x=6

Plug in x=6 into any of the two equations

5(6)-2y=24

30-2y=24

-6= -2y

y= 3

x=6

y=3

(6,3)

Answer:

(A) 8.6

Step-by-step explanation:

distance =√((x_2-x_1)²+(y_2-y_1)²)

the actual distance is 8.602325.

rounded distance is 8.6

Answer:

a= 11/30

Step-by-step explanation:

Divide the 5 1/2 miles by the 15 minutes

5.5/15= .36

.36 = 11/30    

The given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

Given that,
An expression is given we have to discuss what the expression 5p + 3 = 15 implies.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
5p + 3 = 15
5p = 15 - 3
p = 12 / 5

Thus, the given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

Learn more about simplification here:

https://brainly.com/question/12501526

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Answer:

no

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

6^2+8^2=10^2

following the pythagoras theorem this triangle is right triangle

Answer:

4 8/10

Step-by-step explanation:

4x1+4x1/10+4x1/10=4+4/10+4/10=4 8/10

Adding 4 ones, 4 tenths and 4 tenths gives 4.8

To add 4 ones, 4 tenths and 4 tenths, we can combine the whole numbers and the decimal parts separately.

4 ones = 4 x 1

4 tenths = 4 x 1/10

So, 4 ones + 4 tenths + 4 tenths

= 4 x 1 + 4 x 1/10 + 4 x 1/10

= 4 + 0.4 + 0.4

= 4+ 0.8

= 4.8

Therefore, when you add 4 ones, 4 tenths and 4 tenths, the result is 4.4.

Learn more about Place value here:

https://brainly.com/question/27734142

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Answer:

For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.

How many minutes can the liquid can stay in the cooler?

Select from the drop-down menus to correctly complete the statement.

The liquid can stay in the cooler fewer than 10.1 minutes.

Step-by-step explanation:

Answer: Forget about imaginary roots.

Draw an x axis and a y-axis, at right angles.

Place a dot at y=250.

Place a dot at x=60 and place a dot at x=120.

Sketch a graph: in quadrant II, go left from the y-intercept of 250, downward and then curve upward before getting to the x-axis. You have created a local min in the 2nd quadrant.

In the first quadrant, curve smoothly fromthe y intercept down to 60 on the x axis, and continue toward the right and into the fourth quadrant, eventually curving upward and eventually crossing the x axis at 120.  Continue upward indefinitely. You have created another local min, at about x=90.

The smooth polynomial curve will have a local max at(0,250).

Now y = a(x-60)(x-120)(x2+1) can represent this curve; it has two real zeros. Adjust "a" so that the y-intercept is 250.

Step-by-step explanation:

i hope this helps

Answer:

see below

Step-by-step explanation:

the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11

This one is an interesting question.

Lets solve first the equation by isolation of the unknown x:

6x + 6 +2 = (3k / 5x )+3 +3

6x = (3k/5x) + 6 -6-2

6x = (3k/5x) -2

6x = (3k / 5x) - (10x / 5x)

6x = (3k-10x)/5x

6x*5x = 3k - 10x

30x² = 3k - 10x

30x² + 10x = 3k

30x² + 10x - 3k = 0

This is really interesting because this looks exactly like a polynomial function. So we know that there is no solution for a polynomial once the discriminant delta is strictly less than 0.

But delta = b² - 4ac where b = 10, a = 30 and c = -3k

So we need to solve delta < 0

100 - 4*30* (-3k) < 0

100 - 120*(-3)*k < 0

100 - (-360)k < 0

100 + 360k < 0

360k < -100

k < -100/360= -10/36

So there is no solution for all k strictly less than -10/36

Good luck

Answer:

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Answer:

-2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The minimum value is the y- coordinate of the vertex

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 3x² - 12x + 10 ← is in standard form

with a = 3 and b = - 12 , then

x = - [tex]\frac{-12}{6}[/tex] = 2

Substitute x = 2 into the function for corresponding y- coordinate

y = 3(2)² - 12(2) + 10 = 3(4) - 24 + 10 = 12 - 24 + 10 = - 2

Then minimum value of the function is - 2

the answer to your question is slope is 6

Answer:

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

The scores from Mrs. Rijo’s class are the closest to the class mean.

Answer: maybe: perpendicular

Step-by-step explanation:

Answer:

-4 1/4 , -3 , 3.3, 3 1/3, 4 1/4

Step-by-step explanation:

make all fractions decimals

4 1/4 = 4.25

3 1/3 = 3.33333..

-4 1/4 = -4.25

4.25 , -3 , 3.3 , 3.33... , 4.25