Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches

Answer:

I cant help bc it doesnt show :((( sorrrrry

Step-by-step explanation:

Step-by-step explanation:

[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]

Equation from the positive root:

[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]

Equation from the negative root:

[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]

[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.

Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .

To Find : The roots of the equation .

Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .

⇒ 3x² -5x - 7 = 0.

Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.

[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]

On substituting respective values ,

⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.

⇒x = 5 ± √ [ 25 + 84 ]/ 6 .

⇒ x = 5 ± √ 109 / 6 .

⇒ x = 5 + √109 / 6 , 5 - √109 / 6.

[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]

Answer:

Between x = 48 and x = 45.

Step-by-step explanation:

Average rate of change of a function in the given interval is represented by,

Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the table attached,

Average rate of change of the function between x = 3 and x = 9

= [tex]\frac{16-7}{9-3}[/tex]

= 3

Average rate of change in the interval x = 9 and x = 22

= [tex]\frac{32-16}{22-9}[/tex]

= [tex]\frac{16}{13}[/tex]

= 1.23

Average rate of change in the interval x = 9 and x = 22,

= [tex]\frac{45-32}{45-22}[/tex]

= [tex]\frac{13}{23}[/tex]

= 0.57

Average rate of change in the interval x = 45 and x = 48,

= [tex]\frac{63-45}{48-45}[/tex]

= 6

Therefore, average rate of change is maximum between x = 45 and 48.

Option given in bottom right will be the answer.

Step-by-step explanation:

Hey there!

The given point is (8,-3) as (x1,y1) and slope (m) = -3/4.

Note: use one point formula for finding the equation.

[tex](y - y1) = m(x - x1)[/tex]

Put all values.

[tex](y + 3) = - \frac{ 3}{4} (x - 8)[/tex]

Simplify it.

[tex](y + 3) = - \frac{ 3}{4} x - 8 \times - \frac{3}{4} [/tex]

[tex](y + 3) = - \frac{3}{4} x + 6[/tex]

[tex]y = - \frac{3}{4} x + 6 - 3[/tex]

[tex]y = - \frac{3}{4} x + 3[/tex]

Therefore, the equation is; y = -3/4x+3.

Hope it helps...

Answer:

x = 2

Step-by-step explanation:

Since this is a 45-45-90 triangle, the 2 legs will be the same, meaning that y will also be [tex]\sqrt2[/tex].

We can then solve for x using the Pythagorean theorem:

[tex]\sqrt2^2+\sqrt2^2=x^2\\2+2=x^2\\4=x^2\\x=2[/tex]

Or, we could use a quicker approach: if the triangle is a 45-45-90 triangle, the hypotenuse will be [tex]\sqrt2[/tex] times the length of 1 leg. It essentially does the same thing; it's just faster so you could save time on tests.

Its used to find the area and circumference of a circle

Answer:

It is the 16th letter of the Greek alphabet

Used to represent the mathematical constant.

Pi is the ratio of the circumference/diameter.

Hope this helps you!

Answer:

A = (4, -2)

B = (-2, -2)

C = (-2, 2)

Please Brainliest! It wuld help out a lot..

Answer:

18 1/5

Step-by-step explanation:

9 3/5 + 8 3/5

We have a common denominator, so add the whole numbers

9+8 = 17

Add the fractions

3/5+ 3/5 = 6/5

17 6/5

We can simplify since we have an improper fraction

17 + 5/5 + 1/5

17+1+1/5

18 1/5

Answer:

18 1/5

Step-by-step explanation:

9 3/5 + 8 3/5=

First we do 9+8 which is 17

3/5+3/5= 6/5

17 6/5

Simplify:

18 1/5

Answer:

B = (5,4), C = (-5, -4), D = (5, -4), A = (-5, 4)

Step-by-step explanation:

look at x axis first (horizontal), then y axis (vertical)

The coordinates of the points are:

Remember that for a point (x, y), we need to count x units on the horizontal axis, and y units on the vertical axis.

With that in mind, we can see that:

Now, answering the questions:

Which point has coordinates (5, 4)?

Point B

Which point has coordinates (-5, -4)?

Point C

Which point has coordinates (5, -4)?

Point D

Which point has coordinates (-5, 4)?

Point A.

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Answer:

5

Step-by-step explanation:

7*5=35

12*5=60

20*5=100

Answer:

−n−323

Step-by-step explanation:

Answer: 15x > 8(x + 25)

that is what i think i am not very good a math sorry

Step-by-step explanation:

Answer:

15x > 8(x + 25)

Step-by-step explanation:

I think this is the answer

Answer:

( 4 )

Step-by-step explanation:

Hope this helps

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okay

Answer:

18 of them are boys

Step-by-step explanation:

40% = 40/100 = 0.40

0.40 × 45 = 18

Answer:  (0,0)

Step-by-step explanation:

The only integer"s" that both add and subtract to the same value are 0 "and" 0.  Properly stated, the only integer that can be added to itself and subtracted from itself with the same outcome is 0.

Of course, k will also be 0

So this system of equation works out to be

0 + 0 = 0

0 - 0 = 0

Answer:

milliliter

Step-by-step explanation:

Most of nail polish have their measurement in ml

Answer:

32

Step-by-step explanation:

9+9+9+9 is 32 so thats your answer because all sides on a square are equal

Answer:

[tex]\boxed {\tt 36 \ centimeters}[/tex]

Step-by-step explanation:

The perimeter is the sum of all the side lengths and a square has 4 equal sides.

The perimeter of a square can be found by adding the side length 4 times or multiplying the side length by 4.

[tex]p=4s[/tex]

The side length is 9 centimeters.

[tex]s= 9 \ cm[/tex]

Substitute the value into the formula.

[tex]p=4(9 \ cm)[/tex]

Multiply

[tex]p= 36 \ cm[/tex]

The perimeter of a square with a side length of 9 centimeter is 36 centimeters.

Answer:

medians in the triangle

Step-by-step explanation:

just took the test

Answer: 19 months

Step-by-step explanation:

given data:

amount paid initially when joining the club = $50.

monthly payments made = $10.

total amount paid since joining the club = $240.

Solution:

= 10X + 50 = 240

collect like terms

= 10X = 240 – 50

10X = 190

divide both sides by 10

10X/10 = 190/10

X = 19

isabella has been a member of the club for 19 months.

Answer:

(0,-26)

Step-by-step explanation:

0 -26

17 -39

34 -52

51 -65

68 -78

Answer:

this is your question

Step-by-step explanation:

please mark as brainliest

The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5

Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -

3y = 1/2x

y = 1/6x

At [x] = 0, y = - 5

So -

y = (1/6)x - 5

Now -

slope = 1/6

[y] - intercept = - 5

y = 0 = (1/6)x - 5

(1/6)x - 5 = 0

1/6x = 5

x = 1/30

[x] - intercept = 1/30

Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.

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Answer:

= x^2 + 3 / (x-1)(x-3)

Step-by-step explanation:

Adjust fractions based on the LCM:

= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)

Combine the fractions (equal denominators):

= (x-3)^2 + 6(x-1) / (x-1) (x-3)

Expand:

x^2 + 3 / (x-1)(x-3)

Answer:d

X^2+3\(x-1)x-3)

Step-by-step explanation:

On Plato

Answer:

240

Step-by-step explanation:

260 students prefer hip-hop music.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

According to Dustin Survey Hip hop music liked by 18 out of 50

In percentage we can write

x% of 50= 18

50x /100 = 18

x/2 = 18

x= 36%

So, Out of 722 students number of students who prefer hip-hop music

= 36% of 722

= 36/100 x 722

= 260

Hence, 260 students prefer hip-hop music.

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Answer:

y= -4.5

Step-by-step explanation:

2y - 3 = 4y +6

subtract 2y from both sides: -3 = 2y +6

subtract 6 from both sides: -9 = 2y

divide both sides by 2: -4.5 = y

Answer:

y= -4.5

Step-by-step explanation:

2y - 3 = 4y + 6

+3 + 3

2y = 4y + 9

-4y -4y

-2y = 9

divide by -2 to get -4.5

Answer:

5 days

Step-by-step explanation:

1/6 = 2/12

3/4 = 9/12

9/2=4.5

rounded 5

Answer:

c. a translation down and to the left

Step-by-step explanation:

As per translation of a graph, the first transformation for this composition is translation down and to the left.

"A translation of a graph is its rigid movement, vertically or horizontally."

Here, A composition of transformations maps pre-image EFGH to final image E"F"G"H".

Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime.

Therefore, this transformation for this composition is translation down and to the left, and the second transformation is a reflection across line c.

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