The annual rainfall in a certain region is approximately normally distributed with mean 41.8 inches and standard deviation 5.8 inches. Round answers to the nearest tenth of a percent.

a) What percentage of years will have an annual rainfall of less than 44 inches?
__%
b) What percentage of years will have an annual rainfall of more than 39 inches?
__%
c) What percentage of years will have an annual rainfall of between 37 inches and 42 inches?
__%

Answer:

the value of x is 7cm.

Step-by-step explanation:

i looked it up on the Internet next u could try n do tht

Answer:

x=65 degrees

Step-by-step explanation:

in a triangle all angles will have to add up to 180 adding the two given you can find the third one.

Answer:Bob Owes $186 to the store he purchased an item at

Step-by-step explanation:

Answer:  2b/3 (second answer choice)

======================================

Explanation:

The work shown on the screenshot basically shows plugging x = 2(a+c)/3 into the y(x) function and then simplifying. Step 5 isnt fully simplified, so let's combine like terms, factor, and then divide out a pair of (a-2c) terms to get the following:

y = (2ab+2bc-6bc)/(3(a-2c))

y = (2ab-4bc)/(3(a-2c))

y = (2b*a-2b*2c)/(3(a-2c))

y = 2b(a-2c)/(3(a-2c))

y = 2b/3

Answer:

3/8

Step-by-step explanation:

You'd first want to count all the triangles (possibilities) which is 8 total numbers

Then find the even numbers. There is 2, 2, and 4 which is a total of 3 even numbers

The fraction would be 3/8 and it can't be simplified any further

Answer:

3/8

Step-by-step explanation:

This is because, out of 8 results, only 3 of them are even numbers. That is the biggest chance you have at getting an even number.

The value of z is zero

Step-by-step explanation:

The slope is the steepness of the line.

The formula for slope is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\Here\\(x_1,y_1)\ are\ the\ coordinates\ of\ first\ point\ on\ line\\(x_2,y_2)\ are\ the\ coordinates\ of\ second\ point\ on\ line[/tex]

Here

(x1,y1) = (1,z)

(x2,y2) = (2,8)

So,

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\8 = \frac{8-z}{2-1}\\8=\frac{8-z}{1}\\8-8 = -z\\z = 0[/tex]

The value of z is zero

Keywords: slope, Line

Learn more about slope at:

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Answer:

6r+24

Step-by-step explanation:

2(r+3)=2r+6

2(2r+9)=4r+18

(2r+6)+(4r+18)=6r+24

Answer:

[tex]S'(4,6)[/tex]

Step-by-step explanation:

Dilation rules :

For a pre-image point [tex](x,y)[/tex] which is dilated by a scalar factor of [tex]k[/tex] about the origin, the corresponding point of the image can be given by [tex](kx,ky)[/tex]

Pre-image point [tex](x,y)\rightarrow (kx,ky)[/tex] Image point

Given points of quadrilateral PQRS.

P(2,10)

Q(6,8)

R(6,3)

S(2,3)

The quadrilateral is dilated about the origin by a scalar factor of 2.

The co-ordinates of point S' after dilation can be given by:

[tex]S(2,3)\rightarrow S'((2\times2),(2\times3))[/tex]

Thus [tex]S'(4,6)[/tex] (Answer)

Answer:

As jitumahi456 states B).(4, 6) is the correct answer.

Step-by-step explanation:

I took the test on edg.

Answer:

C

Step-by-step explanation:

Final answer:

This answer clarifies the true statement about the division of 1.23 by 0.15, highlighting key misconceptions about the dividend, divisor, and quotient.

Explanation:

Which statement about 1.23 ÷ 0.15 is true?

The dividend should become 15. This statement is false as the dividend after the division remains 1.23.

The divisor is a whole number. This statement is false as 0.15 is not a whole number.

The quotient does not have a hundredths place. This statement is true as the quotient after dividing 1.23 by 0.15 is 8.2, which does not have a hundredths place.

Answer:

The positive real number is 26

Step-by-step explanation:

Let

x ----> the number

we know that

The algebraic expression that represent this problem is

[tex]x^{2} =15x+286[/tex]

so

[tex]x^{2}-15x-286=0[/tex]

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^{2}-15x-286=0[/tex]

so

[tex]a=1\\b=-15\\c=-286[/tex]

substitute in the formula

[tex]x=\frac{-(-15)(+/-)\sqrt{-15^{2}-4(1)(-286)}} {2(1)}[/tex]

[tex]x=\frac{15(+/-)\sqrt{1,369}} {2}[/tex]

[tex]x=\frac{15(+/-)37}{2}[/tex]

[tex]x_1=\frac{15(+)37}{2}=26[/tex]

[tex]x_2=\frac{15(-)37}{2}=-11[/tex]  ---> the solution cannot be negative

therefore

The positive real number is 26

Answer:

they are both correct

Step-by-step explanation:

If the radius is 4 feet like Clare says, the circumference would be 2(radius)(pi) which is 8pi.

If the diameter were 4 feet, circumference would be (diameter)(pi), which is 4pi.

The expression is equivalent to −78x − 198.

To simplify the expression −13(6x + 15) − 3, you can start by distributing the −13 across the terms inside the parentheses:

−13 * 6x = −78x

−13 * 15 = −195

So, the expression becomes:

−78x − 195 − 3

Next, combine the constant terms:

−195 − 3 = −198

The simplified expression is now:

−78x − 198

This expression is equivalent to the original expression −13(6x + 15) − 3. It cannot be further simplified as the terms are not like terms and cannot be combined further. So, the answer is −78x − 198.

The expression represents a linear equation where x is the variable. It can be used to find the value of the expression for specific values of x.

To know more about expression:

https://brainly.com/question/34132400

#SPJ6

The transformation on the figure is a reflection over the y-axis.

In the image, we can see that we have an original figure in the left side of the y-axis, and then it is reflected over it.

We can see that it is a reflection and not a translation, because the orientation of the figure changes (you can see that in both figures, the 90° is in the side farthest away from the axis).

So the correct option is B, reflection over the y-axis.

If you want to learn more about reflections, you can read:

https://brainly.com/question/4289712

Answer:

The greatest number is A. 1.3 * 10⁵

Step-by-step explanation:

Let's find the greatest number:

Option A : 1.3 * 10⁵ = 1.3 * 100,000 = 130,000

Option B : 9.8 * 10² = 9.8 * 100 = 980

Option C : 9.6 * 10⁴ = 9.6 * 10,000 = 96,000

Option D : 4.6 * 10⁻⁵ = 4.6 * 0.00001 = 0.000046

130,000 > 96,000 > 980 > 0.000046

The greatest number is A. 1.3 * 10⁵

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=2(4^x)[/tex]

This is a exponential function of the form

[tex]f(x)=a(b^x)[/tex]

where

a is the initial value

b is the base

r is the rate

b=(1+r)

In this problem we have

[tex]a=2\\b=4\\r=b-1=4-1=3=300\%[/tex]

For x=0

[tex]f(0)=2(4^0)[/tex] -----> [tex]f(0)=2[/tex] ---> y-intercept or initial value

For x=1

[tex]f(1)=2(4^1)[/tex] -----> [tex]f(1)=8[/tex]

Identify the graph

using a graphing tool

The graph in the attached figure

Answer:

linear combination is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants)

Step-by-step explanation:

Answer:

Option 2. [tex]x > 11[/tex]

Step-by-step explanation:

we have

[tex]72 < 7x-5[/tex]

Solve the inequality for x

Adds 5 both sides

[tex]72+5 < 7x-5+5[/tex]

[tex]77 < 7x[/tex]

Divide by 7 both sides

[tex]77/7 < 7x/7[/tex]

[tex]11 < x[/tex]

Rewrite

[tex]x > 11[/tex]

Answer:

the answer is 194

Step-by-step explanation:

1. It's True. Since it's 485 gallons every 6.5 minutes, then to find 1 minute you would do 485/6.5 which is approximately 74 gallons.

2. It's False. 85% of 33500 is 28475 gallons. If you divide that by 74, since that's the number of gallons per minute, you get approximately around 384 minutes. Since you want the time in hours, you divide 384 by 60, and you get the decimal 6.4. Since 6 hours is greater than 4 hours, it's false.

3. It's False. 64% of 33500 is 21440 gallons. 48% of 33500 is 16080 gallons. 21440-16080 is 5360 gallons, not 3360 gallons.

4. It's False. To find the percent of change, you first need to subtract 19800 from 33500, which gives you a result of 13700. Then you divide 13700/33500, which gives you a quotient of approximately 0.41. You multiply that by 100 to find the percent, which is 41%. 41% is not equal to 12%.

5. It's False. Since the unit rate is 74 gallons per minute, you divide 33500 by 74 to see how many minutes it takes. That gives you a quotient of approximately 453 minutes. You divide that by 60 since you want the time in hours, and the quotient of that is 7.55. 7 hours is greater than 5, so it's false.

I'm not too sure about some of them, so you might want to check my math. :)

Answer:

0.0042%

Step-by-step explanation:

We know that 1 pound is equivalent to 16 ounces.

So, 3 pounds of a product is equivalent to (16 × 3) = 48 ounces of the product.

Now, it is given that I add 0.002 ounces of coloring to 3 lbs of product.

So, the required percentage of coloring I used to product is [tex]\frac{0.002 \times 100}{48 + 0.002} = 0.0042[/tex]% (Answer)

Answer:

-1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-9)/(7-(-5))

m=-6/(7+5)

m=-6/12

m=-1/2

Answer:

Differentiation of both the term is [tex]2x+3[/tex]

Step-by-step explanation:

As we have to use first principle of derivatives lets recall the formula.

[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]

Solving our eqaution.

[tex]y=x^2+3x[/tex]

We will work with [tex]f(x+h)[/tex] then [tex]-f(x)[/tex] separately then put in the above formula.

1.

[tex]f(x+h)=(x+h)^2+3(x+h)[/tex]

[tex](x^2+h^2+2hx+3x+3h)[/tex]

Now [tex]-f(x)[/tex]

[tex]-f(x)=-x^2-3x[/tex]

Plugging the values of both.

[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]

[tex]f(x)= \lim_{h\to 0}\frac{(x^2+h^2+2hx+3h+3x)- x^2-3x}{h}=\frac{h^2+2hx+3h}{h}[/tex]

Taking [tex]h[/tex] as common.

[tex]f(x)= \lim_{h\to 0}\frac{h^2+2hx+3h}{h}=h+2x+3[/tex]

Putting [tex]h=0[/tex]

Then

[tex]f(x)=2x+3[/tex] is the final derivative.

This will be same for [tex]y= x^2 + 3x + 8[/tex] as we have to put [tex]8[/tex] only.

2.

[tex]f(x+h)=(x+h)^2+3(x+h)+8[/tex]

[tex](x^2+h^2+2hx+3x+3h)[/tex]

Then [tex]-f(x)=-x^2-3x-8[/tex]

Plugging the values of both.

[tex]f(x)= \lim_{h\to 0}\frac{(x+h)-f(x)}{h}[/tex]

[tex]f(x)= \lim_{h\to 0}\frac{(x^2+h^2+2hx+3h+3x+8)- x^2-3x-8}{h}=\frac{h^2+2hx+3h}{h}[/tex]

Taking [tex]h[/tex] as common.

[tex]f(x)= \lim_{h\to 0}\frac{h^2+2hx+3h}{h}=h+2x+3[/tex]

Putting [tex]h=0[/tex]

Then

[tex]f(x)=2x+3[/tex] is the final derivative.

So both the derivatives are same.

Answer:

7k

Step-by-step explanation:

Note that - (- 8k) = + 8k

Given

- k - (- 8k)

= - k + 8k

= 7k

Answer:

Step-by-step explanation:

Hello

Area triangle DCE :

10 x (8/2) / 2 = 10 x 4 / 2 = 20 cm^2

Area triangle ABE = Area triangle DCE

Area ABCD :

10 x 8 = 80 cm^2

Area triangle AED :

Area ABCD - 2 area DCE

= 80 - 2 x 20

= 80 - 40

= 40 cm^2

The number is 1

Step-by-step explanation:

Let x be the required number

Then according to given statement

Five times the difference of twice a number and seven is negative twenty-five.

[tex]5(2x-7) = -25[/tex]

Simplifying

[tex]10x-35 = -25\\[/tex]

Adding 35 on both sides

[tex]10x-35+35 = -25+35\\10x = 10[/tex]

Dividing both sides by 10

[tex]\frac{10x}{10} = \frac{10}{10}\\x = 1[/tex]

Verification:

[tex]5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25[/tex]

Hence,

1 is the number

Keywords: Linear equation

Learn more about linear equation at:

#LearnwithBrainly

Answer:

im pretty sure its c

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

According to the property of the triangle ,

sum of any two sides should we greater then third side of the triangle.

Here, Measurement of three sides are given as 3,3,5 .

So, sum of the measurement of first two sides is 6.

And third side equals 10.

Clearly 6 is less than 10. So . it violates the property sum of any two sides should we greater then third side of the triangle.

Thus , Sides of a triangle can't be 3,3,10.

Answer:

Yes

Step-by-step explanation:

As long as there are three sides and it forms a triangle, the answer is yes.

Answer:

[tex]x < 18[/tex]

Step-by-step explanation:

We are given the following information in the question:

"Citizens less than 18 years old are not allowed to vote"

We define a variable x such that x represents the age of citizens.

We have to write a relationship with the help of an inequality for the ages of citizens who are not allowed to vote.

Citizens less than 18 are not allowed to vote.

So x should be less than 18.

This can be written as:

[tex]x < 18[/tex]

is the required  inequality for the ages of citizens who are not allowed to vote.

Answer: All four runners ran .96 seconds

Step-by-step explanation: The total time of the four runners, divided by the amount of runners.

3.86/4= .965

Answer:

C) (x-2)(x+3)

Step-by-step explanation:

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

Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6.

Final answer:

The polynomial x² + x - 6 factors to (x + 3)(x - 2) by finding two numbers that multiply to -6 and add to 1.

Explanation:

To factor the polynomial x² + x - 6, one needs to find two numbers that multiply to -6 (the constant term) and add up to 1 (the coefficient of the middle term, x). These numbers are 3 and -2, because 3 × (-2) = -6, and 3 + (-2) = 1. Therefore, the factored form of the polynomial is (x + 3)(x - 2).