Emma starts a food blog. When the blog is launched, the number of subscribers is 486. Every month, the number of subscribers increases by one-third of the number of subscribers in the previous month. At this rate, what will be the number of subscribers after 6 months?

Answer:

Step-by-step explanation:

Let x be the random variable representing the height of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 68.5

σ = 2.7

the probability that a student's height is between 67.5 and 71.0 inches exclusive is expressed as

P(67.5 < x < 71.0)

For x > 67.5,

z = (67.5 - 68.5)/2.7 = - 0.37

Looking at the normal distribution table, the probability corresponding to the z score is 0.36

For x < 71.0

z = (71.0 - 68.5)/2.7 = 0.93

Looking at the normal distribution table, the probability corresponding to the z score is 0.82

Therefore,

P(67.5 < x < 71.0) = 0.82 - 0.36 = 0.46

The number of students whose height is between 67.5 and 71.0 inches is

0.46 × 1000 = 460 students

The probability that a student's height is greater than or equal to 74.0 inches is expressed as P(x ≥ 74)

P(x ≥ 74) = 1 - P(x < 74)

For x < 74,

z = (74 - 68.5)/2.7 = 2.04

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

P(x ≥ 74) = 1 - 0.98 = 0.02

The number of students whose height are greater than or equal to 74.0 inches is

0.02 × 1000 = 20 students

Answer:

slope = -3/2

y intercept = (0,0)

equation, y = -3/2x+0

Step-by-step explanation:

y2-y1/x2-x1 = -3-3/2--2 = -6/4 = slope = -3/2

y intercept = (0,0)

Given :

A mountain climber started his climb at 50 feet above see level .

He then raised 3 feet to rest in his cot to make his final 10 feet climb down.

To Find :

An expression to find his position relative to his final position.

Solution :

Let , final position is h .

h is given by :

\(h=\text{(Initial position)-(initial descended)+(height raised to rest)-(final descended)}\\\\h=50 -28 +3-10\ feet\\\\h=15\ feet\)

So , his final position is 15 feet .

Hence , this is the required solution .

Answer:

\(g=2T^2-6\)

Step-by-step explanation:

To make g the subject, you have to isolate it in the form of g = (stuff)

-----------------------------------------------------------------------------------------------------

\(T=\sqrt{\frac{g+6}{2}}\)

Square both sides:

\(T^2=\frac{g+6}{2}\)

Multiply both sides by 2:

\(2T^2=g+6\)

Swap Sides:

\(g+6=2T^2\)

Subtract 6 from both sides:

\(g=2T^2-6\)

Answer:

a) Find attached the completed Venn diagram (2nd diagram)

b) 25

c) 46

A related Question found at brainly (ID 16765143):

A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are studying. 71 of the students surveyed studies at least one of the two languages.

a) Complete the Venn diagram.

b) How many students study only french?

c) How many students study Spanish?

Step-by-step explanation:

Find attached the Venn diagram (1st diagram)

a) Total number of students in college = 80

Since 71 out of the 80 students surveyed studies at least one of the two languages, the number of students that studied neither French nor Spanish = 80-71 = 9

From the venn diagram:

Number of students that study Spanish = 14

Number of students that study French = 25

We need to determine if the values are for Spanish only and French only respectively or for at least Spanish and French respectively.

Estimated value for the middle term = 80-(14+25+9) = 32

From the above calculation, the number of students that study both Spanish and French is 32 and it is more than each set value. This implies the value given in the Venn diagram is for Spanish only and French only respectively.

Let number of students that study both Spanish and French = x

Spanish only = 14

French only = 25

the number of students that studied neither French nor Spanish = 9

Total:

14 + 25 + x + 9 = 80

48 + x = 80

x = Number of students that study both Spanish and French = 32

b) French only = 25

c) Number of  students that study Spanish = students that study at least Spanish

= 14+x = 14+32

Number of  students that study Spanish = 46

At least three functions can be called, including checkweather. The other two functions can be any other functions that the program contains.

The maximum number of functions that can be called when calling the checkweather function depends on the program. If the program contains other functions, then up to three functions can be called, including the checkweather function. When calling the checkweather function, the first function that will be called is the checkweather function itself. After the checkweather function is called, the program will then proceed to call any other functions that have been determined by the program. This means that the maximum number of functions that can be called is at least two, with the checkweather function being one of them.In addition, if the program contains additional functions, then the maximum number of functions that can be called increases to three. For example, if the program contains functions to display the weather forecast, to check the temperature and to generate an alert, then these functions can also be called in addition to the checkweather function. In this case, the maximum number of functions that can be called is three, with the checkweather function still being one of them.

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Therefore, it takes 6 years for the investment to be worth $7700. The correct answer is option b. 6 years.

To determine how long it takes for an investment of $5000 at 9% annual simple interest to be worth $7700, we can use the formula for simple interest:

I = P * r * t

Where:

I is the interest earned,

P is the principal amount (initial investment),

r is the interest rate, and

t is the time (in years).

In this case, we know that the principal amount (P) is $5000, the interest rate (r) is 9% (which can be written as 0.09 in decimal form), and the final amount (P + I) is $7700.

So we have:

7700 = 5000 + (5000 * 0.09 * t)

Simplifying the equation, we get:

7700 = 5000 + 450t

Rearranging the equation to isolate t, we have:

7700 - 5000 = 450t

2700 = 450t

Now we can solve for t by dividing both sides of the equation by 450:

t = 2700 / 450

t = 6

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Answer: 88 1/2

Step-by-step explanation:

easy

Answer:

89

Step-by-step explanation:

To find the margin of error, we need to determine the critical value associated with the confidence level of the confidence interval.

With the given confidence interval (61.8, 67.4), we can calculate the margin of error as half of the width of the interval. Therefore, the margin of error is 2.8.

The confidence interval represents the range of values within which we estimate the true population parameter to lie with a certain level of confidence. In this case, the confidence interval (61.8, 67.4) provides an estimate of the population mean height of American women.

To calculate the margin of error, we need to determine the critical value associated with the confidence level. Since the specific confidence level is not provided, we cannot determine the exact critical value. However, assuming a typical confidence level of 95%, the critical value would be approximately 1.96.

The margin of error is calculated as half of the width of the confidence interval. In this case, the width of the interval is 67.4 - 61.8 = 5.6. Therefore, the margin of error would be half of 5.6, which is 2.8.

Thus, the margin of error for this confidence interval is 2.8.

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Answer:

0.01

Step-by-step explanation:

i hope this help only that u need to do next time is to divide 966 with a number that is close to the sum

To determine the concentration of the analyte in the unknown using the fit parameters and the linear model, you need to substitute the given signal value into the equation y = mx + b.

In this case, the linear model is represented by the equation y = mx + b, where:

y is the signal value (80.77 in this case),

m is the slope obtained from the regression analysis, and

b is the y-intercept obtained from the regression analysis.

You haven't provided the values of m and b, so I'll use placeholders for now.

Let's assume the slope (m) obtained from the LINEST formula is m = 2.5 and the y-intercept (b) is b = 10.

Substituting these values into the equation:

y = mx + b

80.77 = 2.5x + 10

To find the concentration (x), we can rearrange the equation:

2.5x = 80.77 - 10

2.5x = 70.77

x = 70.77 / 2.5

x ≈ 28.31

Therefore, based on the given fit parameters and the linear model, the concentration of the analyte in the unknown is approximately 28.31 ppm Co2+.

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Answer:

The answer is below

Step-by-step explanation:

The question is not complete but I would solve a similar question:

Alexis needs to paint the four exterior walls of a large rectangular barn. The length of the barn is 80 feet, the width is 50 feet, and the height is 30 feet. The paint costs $28 per gallon, and each gallon covers 420 square feet. How much will it cost Alexis to paint the barn? Explain your work.

Solution:

The barn has four walls. Let the four walls be labeled as w, x, y and z.

The area of wall w = 80 feet * 30 feet = 2400 feet²

The area of wall x = 50 feet * 30 feet = 1500 feet²

The area of wall y = 80 feet * 30 feet = 2400 feet²

The area of wall z = 50 feet * 30 feet = 1500 feet²

The total area of the four walls = area of wall w + area of wall x + area of wall y + area of wall z

The total area of the four walls = 2400 + 1500 + 2400 + 1500 = 7800 ft²

Given that each gallon of paint can cover 420 feet². Therefore number of gallon needed is:

number of gallon needed = 7800 ft² ÷ 420 ft² per gallon = 18.57

Since the gallon must be a whole number and 18 gallons wont be enough, therefore number of gallon needed is 19 gallons.

Cost of painting = 19 gallons * $28 per gallon = $532

The expression for number of magnets=2n+6 where n=number of years and in 22 years she will have 50 magnets.

what are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

As given

Magnets she has=6

Plans to collect =2/year

and n=no. of years

so, the expression will be for

number of magnets=2n+6

Now for number of magnets to become 50, n will be

50=2n+6

n=44/2

n=22

Hence,

        The expression for number of magnets=2n+6 and in 22 years she will have 50 magnets

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Answer:

umm this isn't a question but ok lol. how are you?

Step-by-step explanation:

Answer:

so what's the question????

Answer:

yea yea singing challange

Step-by-step explanation: FLYYY ME TO THE MOON LOLOLOL

Angle 4 and 7= Interior angles

Angle 12 and 16= Corresponding angles

Angle 1 and 14= Alternate exterior angles

Angle 5 and 10=Alternate angles

angle 6 and 7 are alternate angles I think.

Answer:

Independent = time intervals

Dependant = how far the leaves travel

Step-by-step explanation:

independent = what you change

dependent = what you measure

Answer

a tape measure

Step-by-step explanation:

The income reported by Clutz during 2017 from its investment in the Nancy Company be $2,100,000. So, the option a is correct.

Acquisition price for 30% of the Stock (A) = $15,000,000

Fair Value of Nancy's Assets, 30% (B) = $12,000,000

Undervalued depreciable assets are to blame for the excess of consideration above fair value (A-B) = $ 3,000,000

Calculation of Nancy's Investing Income for 2017

Dividends that Nancy paid out (a) = $2,000,000 × 30%

Dividends that Nancy paid out (a) = $ 600,000

Clutz's Part of Nancy's Income (b) = ($8,000,000 - $2,000,000) × 30%

Clutz's Part of Nancy's Income (b) = $6,000,000 × 30/100

Clutz's Part of Nancy's Income (b) = $1,800,000

Depreciation calculations for undervalued assets

Value of Assets = $3,000,000

Useful Life = 10 years

Depreciation for 2017 = $3,000,000/10

Depreciation for 2017 = $300,000

Depreciation of Undervalued Assets (c) = $ 300,000

Therefore Income from Investment to be reported by Clutz(a + b - c) = $600,000 + $ 1,800,000 - $ 300,000

Income from Investment to be reported by Clutz(a + b - c) = $21,00,000

So the option a is correct.

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The size of θ is 31.354 degree. A degree in mathematics is a professional option for those who are driven by solutions and addressing problems in the real world.

A bachelor's degree, also referred to as a college degree, is an undergraduate degree that you can obtain by enrolling in classes at a university in the topic of your choice. Examples include bachelor of arts (BA), bachelor of science (BSc), and bachelor of music (BMus). A certificate is a record that certifies a certain level of education and professional experience. Compared to degrees, diplomas are often more focused on a particular career, easier to obtain, and offer more practical experience. An educational institution, like a university, would provide a certificate of degree or diploma as proof that the recipient has achieved a degree or successfully completed a particular course of study.

sin(∠LKM)=LM/KM

sin(θ) = 12.8/24.6

θ= 31.354 degree.

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Answer:

-47

Step-by-step explanation:

you don't you use the calcaulator

Part a

The third angle = 75 degree

It is an acute triangle

Part b

The third angle = 90 degree

It is a right triangle

Part c

The third angle = 81 degree

It is an acute triangle

Part d

The third angle = 45 degree

It is a right triangle

We know the sum of interior angles of the triangle is 180 degrees

Part a

The two angles are

30 degree and 75 degree

The third angle = 180 - (30+75)

= 180 - 105

= 75degree
It is an acute triangle

Part b

43 degree and 47 degree

The third angle = 180 - (43 + 47)

= 180 - 90

= 90 degree

It is a right triangle

Part c

35 degree and 64 degree

Third angle = 180 - (35+ 64)

= 180 - 99

= 81 degree

It is an acute triangle

Part d

45 degrees and 90 degrees

The third angle  = 180 - (90+45)

= 180 - 135

= 45  degree

It is a right triangle

Hence,

Part a

The third angle = 75 degree

It is an acute triangle

Part b

The third angle = 90 degree

It is a right triangle

Part c

The third angle = 81 degree

It is an acute triangle

Part d

The third angle = 45 degree

It is a right triangle

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We can use Stokes' theorem to evaluate the line integral of the curl of a vector field F around a closed curve C, by integrating the dot product of the curl of F and the unit normal vector to the surface S that is bounded by the curve C.

Mathematically, this can be written as:

∫∫(curl F) · dS = ∫C F · dr

where dS is the differential surface element of S, and dr is the differential vector element of C.

In this problem, we are given the vector field F = (2y cos z, ex sin z, xey), and we need to evaluate the line integral of the curl of F around the hemisphere x^2 + y^2 + z^2 = 9, z ≥ 0, oriented upward.

First, we need to find the curl of F:

curl F = (∂Q/∂y - ∂P/∂z, ∂R/∂z - ∂Q/∂x, ∂P/∂x - ∂R/∂y)

where P = 2y cos z, Q = ex sin z, and R = xey. Taking partial derivatives with respect to x, y, and z, we get:

∂P/∂x = 0

∂Q/∂x = 0

∂R/∂x = ey

∂P/∂y = 2 cos z

∂Q/∂y = 0

∂R/∂y = x e^y

∂P/∂z = -2y sin z

∂Q/∂z = ex cos z

∂R/∂z = 0

Substituting these partial derivatives into the curl formula, we get:

curl F = (x e^y, 2 cos z, 2y sin z - ex cos z)

Next, we need to find the unit normal vector to the surface S that is bounded by the hemisphere x^2 + y^2 + z^2 = 9, z ≥ 0, oriented upward. Since S is a closed surface, its boundary curve C is the circle x^2 + y^2 = 9, z = 0, oriented counterclockwise when viewed from above. Therefore, the unit normal vector to S is:

n = (0, 0, 1)

Now we can apply Stokes' theorem:

∫∫(curl F) · dS = ∫C F · dr

The left-hand side is the surface integral of the curl of F over S. Since S is the hemisphere x^2 + y^2 + z^2 = 9, z ≥ 0, we can use spherical coordinates to parameterize S as:

x = 3 sin θ cos φ

y = 3 sin θ sin φ

z = 3 cos θ

0 ≤ θ ≤ π/2

0 ≤ φ ≤ 2π

The differential surface element dS is then:

dS = (∂x/∂θ x ∂x/∂φ, ∂y/∂θ x ∂y/∂φ, ∂z/∂θ x ∂z/∂φ) dθ dφ

= (9 sin θ cos φ, 9 sin θ sin φ, 9 cos θ) dθ dφ

Substituting the parameterization and the differential surface element into the surface integral, we get:

∫∫(curl F) · dS = ∫C F ·

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In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

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The required probability of the given exponential distribution with mean of 10 minutes is equal to 0.39 rounded to two decimal places.

The amount of time spent at a bank follows an exponential distribution with a mean of 10 minutes,

The probability density function (PDF) of the time spent at the bank is given by,

f(x) = (1/10)e^(-x/10), where x ≥ 0

The probability of spending less than 5 minutes at the bank,

Evaluate the cumulative distribution function (CDF) of the exponential distribution up to x=5 minutes,

P(X < 5) = \(\int_{0}^{5}\) f(x) dx

=\(\int_{0}^{5}\)(1/10)e^(-x/10) dx

= [-e^(-x/10)]\(|_{0}^{5}\)

= -e^(-1/2) + 1

≈ 0.393

Therefore, the probability of spending less than 5 minutes at the bank is approximately 0.39, rounded to two decimal places.

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Answer:

6h = 36

Step-by-step explanation:

h is for the number of hours she worked each day. She worked in 6 days for 36 hours so 6h = 36.

Answer:

{11, 16, 25}

Step-by-step explanation:

This is because whenever you add two sides of a triangle, it must be greater than the third side.