Vinay constructed this spinner based on the population of teachers at his school.

A spinner with 8 equal sections.

According to Vinay’s model, what is the probability that he will have a male history teacher two years in a row?
StartFraction 3 over 8 EndFraction
(StartFraction 3 over 8 EndFraction) (2)
(StartFraction 3 over 8 EndFraction) squared
StartFraction 3 over 8 squared EndFraction

Answer:

y=2/3x+1

Step-by-step explanation:

m= (slope)

b= (y-intercept

Answer:

1 1/5

Step-by-step explanation:

average book per week = the amount of books read / the amount of weeks

= 15/10 = 1 1/2

For the inequality  -5 < 4x + 3 ≤ 7 the  combined solution are x < -2 and x ≤ 1.

To solve the inequality -5 < 4x + 3 ≤ 7, we need to consider two separate inequalities:

Solve the inequality -5 < 4x + 3:

-5 < 4x + 3

Subtract 3 from both sides:

-5 - 3 < 4x

-8 < 4x

Divide both sides by 4

-8/4 > x

-2 > x

x < -2.

Now let's solve the inequality 4x + 3 ≤ 7:

4x + 3 ≤ 7

Subtract 3 from both sides:

4x ≤ 7 - 3

4x ≤ 4

Divide both sides by 4:

x ≤ 1

Therefore, the combined solution is x < -2 and x ≤ 1.

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Answer:

\(\mathbf{\dfrac{\partial f}{\partial x}= cos (-7x^2 -6x - 1)}\)

\(\mathbf{\dfrac{\partial f}{\partial y}= cos ( -7y^2 -6y-1)}\)

Step-by-step explanation:

Given that :

\(f(x,y) = \int ^x_y cos (-7t^2 -6t-1) dt\)

Using the Leibnitz rule of differentiation,

\(\dfrac{d}{dt} \int ^{b(t)}_{a(t)} f(x,t) dt= f(b(t),t) *b'(t) -f(a(t),t) * a' (t) + \int^{b(t)}_{a(t)} \dfrac{\partial f}{\partial t} \ dt\)

To find: fx(x,y)

\(\dfrac{\partial f}{\partial x}= \dfrac{\partial }{\partial x} [ \int ^x_y cos (-7t^2 -6t -1 ) \ dt]\)

\(\dfrac{\partial f}{\partial x}= \dfrac{\partial x}{\partial x} cos (-7x^2 -6x -1 ) - \dfrac{\partial y}{\partial x} * cos (-7y^2 -6y-1) + \int ^x_y [\dfrac{\partial }{\partial x} \ \{cos (-7t^2-6t-1)\}] \ dt\)

\(\dfrac{\partial f}{\partial x}= cos (-7x^2 -6x - 1) -0+0\)

\(\mathbf{\dfrac{\partial f}{\partial x}= cos (-7x^2 -6x - 1)}\)

To find: fy(x,y)

\(\dfrac{\partial f}{\partial y}= \dfrac{\partial }{\partial y} [ \int ^x_y cos (-7t^2 -6t -1 ) \ dt]\)

\(\dfrac{\partial f}{\partial y}= \dfrac{\partial x}{\partial y} cos (-7x^2 -6x -1 ) - \dfrac{\partial y}{\partial y} * cos (-7y^2 -6y-1) + \int ^x_y [\dfrac{\partial }{\partial y} \ \{cos (-7t^2-6t-1)\}] \ dt\)

\(\dfrac{\partial f}{\partial y}= 0 - cos ( -7y^2 -6y-1)+0\)

\(\mathbf{\dfrac{\partial f}{\partial y}= cos ( -7y^2 -6y-1)}\)

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

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we would expect m to be positive.

In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.

Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.

If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.

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Therefore, at the end of 9 years, you should have approximately R386,141.50 if you invest R2 000 at the end of each month at an interest rate of 8% per annum compounded monthly.

Percent is a way of expressing a number as a fraction of 100. The symbol for percent is "%". Percentages are used in many different contexts, such as finance, economics, statistics, and everyday life. Percentages can also be used to express change or growth, such as an increase or decrease in the value of something over time.

Here,

This is an example of an annuity due, where a fixed amount is invested at the end of each period. The future value of an annuity due can be calculated using the following formula:

FV = PMT x (((1 + r)ⁿ⁻¹) / r) x (1 + r)

where:

PMT = the regular payment made at the end of each period

r = the interest rate per period

n = the total number of periods

In this case, PMT = R2 000, r = 8%/12 = 0.0066667 (since interest is compounded monthly), and n = 9 x 12 = 108 (since there are 12 months in a year and the investment period is 9 years).

Plugging in the values, we get:

FV = R2 000 x (((1 + 0.0066667)¹⁰⁸⁻¹) / 0.0066667) x (1 + 0.0066667)

FV ≈ R386,141.50

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Answer:

32

Step-by-step explanation:

Step 1:

24 : 45 = x : 60

Step 2:

45x = 1440

Answer:

x = 32

Hope This Helps :)

The number of the cabinet doors machine will paint is 32.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that machine can paint 24 cabinet doors in 45 minutes. The number of cabinets painted in 1 hour will be calculated as below:-

24 : 45 = x : 60

45x = 1440

x = 32

Therefore, the number of the cabinet doors machine will paint is 32.

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Answer:

7.5

Step-by-step explanation:

Using pythagoras theorem

Sqrt(9^2-5^2)=7.483

The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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Answer:

Olá!

`~~~~~~~~~~~~~~~~~~

3 (número inteiro positivo)

2 (antessor)

4 (sucessor)

Para provar isso, simplesmente multiplicamos entre 4 e 2:

4 x 2 = 8

Espero que isso tenha ajudado! Também seria bom se você me desse Brainliest!

Answer:

\(n = \frac{20}{7}\)

Step-by-step explanation:

\(4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}\)

Answer:

n = 20/7

Step-by-step explanation:

4n+5=25-3n

Add 3n to each side

4n+3n+5=25-3n+3n

7n +5 = 25

Subtract 5 from each side

7n+5-5=25-5

7n = 20

Divide by 7

7n/7 = 20/7

n = 20/7

The standard form of "18 hundreds 11 tens" is 1910.

To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.

We know that 1 hundred is equal to 100, and 1 ten is equal to 10.

So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.

18 hundreds = 18 x 100 = 1800

11 tens = 11 x 10 = 110

To find the standard form, we add the two values:

1800 + 110 = 1910

Therefore, "18 hundreds 11 tens" in standard form is 1910.

In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.

The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.

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Area of the base of the pyramid is 16 square centimeters

Area of one lateral face of the pyramid  is  14 square centimeters

The lateral surface area of the pyramid is  56 square centimeters

The total surface area of the pyramid is 72  square centimeters

Area of the base of the pyramid = length x length

= 4 x 4

=16 square centimeters

Area of one lateral face of the pyramid = area of a triangle

=1/2×base×height

=1/2×4×7

=14 square centimeters

The lateral surface area of the pyramid =  4 x area of one lateral face

= 4 x 14

= 56square centimeters

The total surface area of the pyramid = lateral surface area of the pyramid +  area of the base

=56+16

=72 square centimeters

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Answer:

(0,3)

Step-by-step explanation:

(-4+4)/2=0

(7+(-1))/2 = 3

Answer:

(0, 3)

Step-by-step explanation:

C= (-4, 7) and D= (4, -1)

midpoint of CD

M= ((x1+x2)/2), (y1+y2)/2)

M= ((-4+4)/2, (7-1)/2)= (0, 3)

Answer: choice A

Step-by-step explanation:

by rearranging the initial inequality you’ll get

\(\frac{3}{2} x\leq 5-\frac{1}{3}\)

which equals

\(\frac{3}{2} x\leq\frac{14}{3}\)

then multiply both sides by 2/3

\(x\leq \frac{28}{9}\)

Answer:

32.5%

Step-by-step explanation:

Hey there!

To find the probability we first need to find the amount of prime numbers in the 1-40 set.

Prime - 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

That’s 13 prime numbers.

Fraction - 13/40

Simplified is just 13/40.

13 / 40 = .325

Percent - 32.5%

Hope this helps :)

The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³)  is equal to w = -1.

As given in the question,

Given equation is equal to :

7 ( w + 7 )³ = 7(6³)

Divide both the side of the equation by 7 we get,

⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7

⇒( w + 7 )³ = (6³)  

Take cube root both the side of the equation we get,

⇒∛( w + 7 )³ = ∛(6³)  

⇒ w + 7 = 6

Now subtract 7 from both the side of the equation we get,

⇒w + 7 - 7 = 6 - 7

⇒ w = -1

Therefore, the value of the variable 'w' for the given equation is equal to w = -1.

The complete question is:

Solve this equation:

7 ( w + 7 )³ = 7(6³)

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Answer:

  (c)  (-∞, -2] ∪ (-1, ∞)

Step-by-step explanation:

You want the range of the piecewise function shown in the graph.

The range is the vertical extent of the graph, the set of possible output values of the function.

This graph shows a gap between y = -2 and y = -1. The value y = -2 is included in the range, but the value y = -1 is not. (That's what the open circle means.)

Hence, the range is ...

  (-∞, -2] ∪ (-1, ∞)

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that \(n = 603, \pi = \frac{142}{603} = 0.2355\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694\)

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Answer:

the last one

Step-by-step explanation:

-15/3+17=12

-5+17=12

12=12

Answer:

17=12

Step-by-step explanation:

After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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Answer:

\(4056w = -70\)

Step-by-step explanation:

Given

John: 4312w+1814

Marco: 256w+1744

Required

Write an equation to determine number of weeks

To do this, we simply equate both expressions...

\(4312w + 1814 = 256w + 1744\)

Collect Like Terms

\(4312w - 256w = 1744 - 1814\)

\(4312w - 256w = 1744 - 1814\)

\(4056w = -70\)

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Answer:

55mph

None of the option is correct

Step-by-step explanation:

Let v be the speed and t as the time taken. If speed varies inversely as the time it takes to drive, then v ∝ 1/t.

v = k/t where k is the constant of proportionality.

IF it takes Kris 5 hours when driving at 55 mph, then v = 55mph when t = 5 hours.

Substituting this values into the formula above;

55 = k/5

k = 55*5

k = 275mp/hr²

To calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t

v = 275/5

v = 55 mph

Hence, martin will also need to drive at 55mph to take 5 hours

Answer:

The answer is D

Step-by-step explanation:

8× the number

let the number be n

8×n=8n

Answer:

8n

Step-by-step explanation:

whenever a number is attached to a variable, that means multiplication. 8n is the correct answer.

have a great day and thx for your inquiry :)