Part B.

If the last 2 months of the year each have the most common amount of rainfall, how much more rain will

fall for the year?

O A 4 inches

OB. 4 inches

o C. 54 inches

OD. 5 inches

HOL

ANSWER

My answer is in the photo above

The mean is 18.6.

Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.

The z-score can show you how that person's weight compares to the mean weight of the general population.

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Answer:

2.2 miles

Step-by-step explanation:

6.7 - 4.5 = 2.2

Answer:

6.7 miles

Step-by-step explanation:

The sentence about 4.5 miles is extra info. you don't need. In the question it says he needs to run 6.7 miles, then continues to ask how many miles he needs to run.

I hope this answers your question and you understand! Have a great rest of your day! :)

The answers are 3x=9 , 5x=15,6x=18

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here:  9x=27 has an answer of x=3.

Clearly 3x=9 , 5x=15,6x=18 satisfy the given criteria

Hence, The answers are 3x=9 , 5x=15,6x=18

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The required answers five different equations with an answer of x=3 are ,

⇒ 3x=9 ,

⇒ 4x = 12

⇒ 5x=15,

⇒ 6x=18

⇒ 7x = 21

Given here:  

Equation 9x = 27 has an answer of x=3.

Now, We can simplify as,

Clearly 3x=9 , 5x = 15, 6x = 18 satisfy the given criteria, as x = 3 are solution.

⇒ 3x = 9

⇒ x = 9/3

⇒ x = 3

⇒ 4x = 12

⇒ x = 12/4

⇒ x = 3

⇒ 5x = 15

⇒ x = 15/5

⇒ x = 3

⇒ 6x = 18

⇒ x = 18/6

⇒ x = 3

⇒ 7x = 21

⇒ x = 21/7

⇒ x = 3

Hence, The answers are ,

⇒ 3x=9 ,

⇒ 4x = 12

⇒ 5x=15,

⇒ 6x=18

⇒ 7x = 21

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The perimeter is given by (74m²+85n²+164p²-20mn+140mp-144pn) cm

The sum of all the side lengths of a polygon is called perimeter.

Given that, A triangle has side lengths of (5m-2n)(5m−2n) centimetres, (7m+10p)(7m+10p) centimetres, and (8p-9n)(8p−9n) centimetres.

Perimeter = (5m-2n)(5m−2n)+(7m+10p)(7m+10p)+(8p-9n)(8p−9n)

= (5m-2n)²+(7m+10p)²+(8p-9n)²

= 25m²+4n²-20mn+49 m²+100p²+140mp+64p²+81n²-144pn

= 74m²+85n²+164p²-20mn+140mp-144pn

Hence, The expression giving perimeter is (74m²+85n²+164p²-20mn+140mp-144pn) cm

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Answer:

85 m high

Step-by-step explanation:

The greatest height of the Ballon whn it began it's descent is given by the intercept value of the graph. Hence, the height of Ballon when it began it's descent is 80 meters.

The slope of the graph is negative signifying that the value on the y-axis decreases as the value on the x - axis increases.

The y - intercept is the value of y when x=0. This value represents the height at time = 0; when descent is about to begin. Hence, the ballon was 80 meters high.

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0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

To convert Celsius to Fahrenheit, we use the formula:

°F = (°C × 9/5) + 32

Let's calculate the conversion for 0 degrees Celsius:

°F = (0 × 9/5) + 32

°F = 0 + 32

°F = 32

Therefore, 0 degrees Celsius is equal to 32 degrees Fahrenheit.

Now, let's consider the addition of 0 degrees Celsius and 0 degrees Celsius:

0 degrees Celsius + 0 degrees Celsius = 0 + 0 = 0

Since 0 degrees Celsius is equivalent to 32 degrees Fahrenheit, the sum of 0 degrees Celsius and 0 degrees Celsius is 0, not 64 degrees Fahrenheit.

So, 0 degrees Celsius + 0 degrees Celsius = 0 degrees Celsius = 32 degrees Fahrenheit.

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The total cost of the stools is $540.

a + b = 32 equation 1

3a + 4a = 108 equation 2

Where:

a = three legged stools

b = four legged stools

In order to determine the required value, take the following steps:

Multiply equation 1 by 3

3a + 3b = 96 equation 3

Subtract equation 3 from equation 2

b = 12

Substitute for b in equation 1

a + 12 = 32

a = 32 - 12

a = 20

20(15) + 20(12) =

240 + 300 = $540

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Answer:

66 feet

Step-by-step explanation:

We know that the t in the equation represents the time. So, substitute 2 for the t in the function and simplify to find the height after 2 seconds:

\(h(t) = -16t^2+63t+4\\h(2) = -16(2)^2+63(2)+4\\h(2) = -16(4)+126+4\\h(2) = -64 + 126+4\\h(2) = 66\)

Thus, the height would be 66 feet.

Answer:

\( \huge \boxed {slope = - 3}\)

Step-by-step explanation:

\(m = \frac{rise}{run} \)

The slope is the change of y over the change of x.

\(m = \frac{12 - 3}{ - 1 - 2} \\ m = \frac{9}{ - 3} \\ m = - \frac{9}{3} \\ m = - 3\)

Therefore, the slope is -3.

Answer:

277.778 m/s

Step-by-step explanation:

just divide by 3.6

Answer:

it might be b i did it and i got that one sec brainly i did this so dont take it down i did math ok i think it is b

Step-by-step explanation:

The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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Answer:

C. 74

Step-by-step explanation:

add up all the numbers but not the value so you have 18 numbers. divide that by 2 and get 9. so 74 is between 73 and 78 so it divides the 18 numbers evenly into 9 and 9.

Answer:

(-1, 2)

Step-by-step explanation:

Finding the midpoint of a line, having been given two points, is like finding the average coordinate of those two points.

To find the average x coodinate (and hence the midpoint's x coordinate), you have to sum the x coordinates and divide by 2 - like finding the mean.

To find the y coordinate, sum the y coordinates and divide by two.

\((x,y) = (\frac{-5+3}{2} , \frac{12+-8}{2} )\)

Answer:

Step-by-step explanation:

(12 - 8)/2 = 4/2 = 2

(-5 + 3)/2 = -2/2= -1

(-1, 2) midpoint

When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.

The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).

The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.

In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).

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Answer:

Step-by-step explanation:

There is an error in the question.

x + y = 25 is NOT the equation of a circle.

It should be x^2 + y^2 = 5^2.

Parametric equations for the circle:

x = 5cosθ

y = 5sinθ

After 1 second, the object is at (4,3), so θ=arctan(3/4).

At 2 seconds, θ=2arctan(3/4). The object is at (5cosθ,5sinθ) = (1.4, 4.8).

At 3 seconds, θ=3arctan(3/4). The object is at (-1.76, 4.68).

360°/arctan(3/4) ≈ 9.764

The object returns to (5,0) after 9.764 seconds.

Answer:

Susie has a credit less than 64 dollars.

OD.

Step-by-step explanation:

the probability that none of the outcomes is an even number is 1/8 or approximately 0.125

The probability of rolling an even number on a fair six-sided die is 3/6 or 1/2, and the probability of rolling an odd number is also 1/2.

To find the probability that none of the outcomes is an even number, we need to calculate the probability of rolling an odd number on all three dice. Since the dice are rolled independently, we can multiply the probabilities together to get the overall probability:

P(rolling odd on one die) = \(1/2\)

P(rolling odd on two dice) = \((1/2)^2 = 1/4\)

P(rolling odd on three dice) =\((1/2)^3 = 1/8\)

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Proved: a)sinxsin2x + cosxcos2x = cosx is true for all values of x.   b) cotx = sinxsin(π/2−x) + cos2xcotx is true for all values of x.    c)  2csc^2x = secx cscx is true for all values of x.

To prove a trigonometric identity, we need to manipulate the expressions using known identities until we obtain an equation that is true for all values of the variable.

1. To prove sinxsin2x + cosxcos2x = cosx:

We will use the identity sin(A + B) = sinAcosB + cosAsinB.

Let's apply this identity to the left-hand side of the equation:
sinxsin2x + cosxcos2x
= sinx(cosx + cos3x) + cosx(1 - 2sin^2x)
= sinxcosx + sinxcos3x + cosx - 2cosxsin^2x
= cosx(sinxcosx + sin3xcosx) + cosx - 2cosxsin^2x
= cosx(sinxcosx + sin3xcosx) - 2cosxsin^2x + cosx
= cosx(sinxcosx + sin3xcosx - 2sin^2x + 1)
= cosx[2sinxcosx + (1 - 2sin^2x)]
= cosx[2sinxcosx + cos^2x - sin^2x]
= cosx[cos^2x + 2sinxcosx - sin^2x]
= cosx[cos(2x) + 2sinxsin(2x)]
= cosx[cos(2x) + sin(2x)]
= cosxcos(2x) + cosxsin(2x)
= cosx.

Therefore, sinxsin2x + cosxcos2x = cosx is true for all values of x.

2. To prove cotx = sinxsin(π/2−x) + cos2xcotx:

We will use the identity cotx = cosx/sinx and the Pythagorean identity sin^2x + cos^2x = 1.

Let's manipulate the right-hand side of the equation:
sinxsin(π/2−x) + cos2xcotx
= sinxcosx/sinx + cos^2x(cosx/sinx)
= cosx + cos^3x/sinx
= cosx(1 + cos^2x/sinx)
= cosx(1 + cos^2x/(√(1 - sin^2x)))
= cosx(1 + cos^2x/√(1 - cos^2x))
= cosx(1 + cos^2x/√(sin^2x))
= cosx(1 + cos^2x/sinx)
= cosx(1 + cot^2x)
= cosx + cosx(cot^2x)
= cosx(1 + cot^2x)
= cotx.

Therefore, cotx = sinxsin(π/2−x) + cos2xcotx is true for all values of x.

3. To prove 2csc^2x = secx cscx:

We will use the identity cscx = 1/sinx and secx = 1/cosx.

Let's manipulate the left-hand side of the equation:
2csc^2x
= 2(1/sinx)^2
= 2/sin^2x
= 2/(1 - cos^2x)
= 2/(1 - cos^2x)/(1/cosx)
= 2cosx/(cos^2x - cos^4x)
= 2cosx/(cos^2x(1 - cos^2x))
= 2cosx/(cos^2xsin^2x)
= 2cosx/sin^2x
= 2cot^2x.

Therefore, 2csc^2x = secx cscx is true for all values of x.

In conclusion, we have proven the given trigonometric identities using known trigonometric identities and algebraic manipulation.

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Answer:

m1: 35
m2: 77
m3:49
m4:77
m5:62
m6: 28

Step-by-step explanation:

So basically u can figure out that the angle opposite the 103deg thing is also 103. 360-2(103) = 154. Then 154/2 = 77 and u can work out the rest from there. good luck with the rest of the problems.

Answer:

\(x=\frac{7}{30}\)

Step-by-step explanation:

Solve for x:

\(x+\frac{2}{3}=\frac{9}{10}\)

Subtract \(\frac{2}{3}\) on both sides

\(x=\frac{7}{30}\)

Answer:

X= 7/30

Step-by-step explanation:

subtract 2/3 from both sides.

X+ 2/3 = 9/10

X +2/3 -2/3 =9/10 -2/3

simplify the expression

X + 2/3 -2/3 =9/10 -2/3

X=7/30

Answer:

r≈7.4

Step-by-step explanation:

C=2πr

Solving forr

r=C

2π=46.47

2·π≈7.39625

Hope this helps! Happy friday!

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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With the help of Commutative Property, the required equivalent expression is 29 + y + z.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.

This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.

So, according to what we know, Nigel is organizing his marathon training over a four-day period.

Similar to our given expression, we can write the following as an equivalent expression:

12 + 7 + y + z

Our phrase might be stated more simply as:

29 + y + z

Therefore, with the help of Commutative Property, the required equivalent expression is 29 + y + z.

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Correct question:
Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run in two days. One expression for the total miles he will run is 12+y+17+z. Use the Commutative Property to write an equivalent expression.

Bailey starts with an initial investment of 500 and the annual interest rate is 5%.

To answer this question, we need to understand the equation given to us:
= 500 (1.05)"

This equation models the growth of Bailey's Roth IRA over time. The initial investment is 500, and the interest rate is 1.05. T

he exponent, represented by the variable "n", represents the number of years that Bailey's Roth IRA has been invested.

a. How much does he start with?
From the equation given, we know that Bailey starts with an initial investment of 500.

b. What is the annual interest rate?
The annual interest rate is represented by the number 1.05. This means that for every year that Bailey's Roth IRA is invested, it will grow by 5% of its previous value.

In summary, Bailey starts with an initial investment of 500 and the annual interest rate is 5%.

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Answer:4.898979486

Step-by-step explanation:

Answer:

The square root of 24 is; 4.898... when you round it it's going to be 4.900 so that's the square root cause it doesn't have an exact square root.

hi there! here's my answer for you...

i do not think there is an answer since the equation you have given is not a conic section. therefore, there is no vertex form, axis of symmetry, or vertex.

hope this helped. have a good one!