70% of the customers at the local ice cream shop order their ice cream on a sugar cone. assuming that the next ten customers order independently of one another, what is the probability that exactly seven of them order sugar cones?

Answer:

r17 is that a mistake or actually the number?

Answer:

I can't see question properly

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

width = 35

length = 70

Step-by-step explanation:

length (L) = 2w

Perimeter is 2L + 2w

Substitute each variable and solve:

2(2w) + 2w = 210

4w + 2w = 210

6w = 210

w = 35

length is twice that, so 2(35) = 70

The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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The graph which represents the relationship between the year and the computers value is; Choice A.

According to the task content, it follows that the computer loses 1/3 of its value every year. Hence, it follows that the value of the computer each year is 2/3 of its previous value.

Hence, the relationship can best be modelled by an exponential function, a decay function to be more specific and can best be represented by Choice A.

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5 Households. To determine the number of households included in the histogram representing the number of television sets per household for a sample of U.S. households, follow these steps:

1. Identify the bars on the histogram, which represent the number of television sets per household.
2. Find the height of each bar, which represents the number of households with that specific number of television sets.
3. Add up the heights of all the bars in the histogram.

The total sum represents the number of households included in the histogram.

The x-axis displays the total number of TVs owned by households, while the y-axis displays the number of homes utilising a specific number of TVs.

There are only 5 households total, and each one has 5 televisions. This is the lowest proportion of homes with the same number of televisions, which makes sense given that having five televisions in a single home is unusual.

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The 8-point Discrete Fourier Transform (DFT) of x[n] = 2cos²(nπ/4) is given by X[k] = [4, 0, 0, 0, 0, 0, 0, 0] for k = 0, 1, 2, 3, 4, 5, 6, 7.

The Discrete Fourier Transform (DFT) is used to transform a discrete-time sequence from the time domain to the frequency domain. To find the DFT of x[n] = 2cos²(nπ/4), we need to evaluate its spectrum at different frequencies.

The DFT formula for an N-point sequence x[n] is given by:

X[k] = Σ(x[n] * exp(-j2πkn/N)), for n = 0 to N-1

Here, N represents the number of points in the DFT and k is the frequency index.

Using the double-angle formula for cosine, we can express cos²(nπ/4) as (1 + cos(2nπ/4))/2.

Substituting this expression into the DFT formula, we have:

X[k] = Σ((2 * (1 + cos(2nπ/4))/2) * exp(-j2πkn/8)), for n = 0 to 7

Simplifying, we get:

X[k] = Σ((1 + cos(2nπ/4)) * exp(-j2πkn/8)), for n = 0 to 7

Using the identity exp(-j2πkn/8) = exp(-jπkn/4) for k = 0, 1, ..., 7, we can further simplify:

X[k] = Σ((1 + cos(2nπ/4)) * exp(-jπkn/4)), for n = 0 to 7

Notice that cos(2nπ/4) = cos(nπ/2), which takes on the values of 1, 0, -1, 0 for n = 0, 1, 2, 3, respectively.

Substituting these values, we find that X[k] = [4, 0, 0, 0, 0, 0, 0, 0] for k = 0, 1, 2, 3, 4, 5, 6, 7.

This means that the 8-point DFT of x[n] = 2cos²(nπ/4) has non-zero values only at the 0th frequency component (k = 0), while all other frequency components have zero amplitude.

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This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

Step-by-step explanation:

When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:

\(\sqrt[n]{x} =x^\frac{1}{n}\)

For the first expression, we can use this proprtery to get:

\(\sqrt[5]{a^x} =(a^x)^\frac{1}{5}\)

Using exponent rules, you can combine the exponents by simply multiplying them to get:

\(a^\frac{x}{5}\)

Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:

\(\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }\)

The a^2 and b^10 can be taken out of the radical because they have perfect roots:

\(\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }\)

The square root of 81 has a perfect root of 9. We have:

\(ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }\)

You can divide 9 and the square root of 3 by breaking up 9 into a product:

\(\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }\)

Simply by cancelling the 'a' terms to get:

\(3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}\)

Answer:

4.8%

Step-by-step explanation:

Step 1: divide the numerator by denominator

Step 2: Multiply 100 with  the answer.

....................................................................

6/125 = 0.048

0.048 * 100

=4.8%

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

42.1

Step-by-step explanation:

15.2% = 0.152

277 * 0.152 = 42.104

42.1 megabytes have been downloaded.

Hope this is helpful.

Answer:

42.1

Step-by-step explanation:

thanks for the pts

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To sketch the plane, we start at the x-intercept (5, 0, 0), then draw a line to the y-intercept (0, 2, 0), and finally connect to the z-intercept (0, 0, 10). This forms a triangle in three-dimensional space that represents the plane 2x+5y+z=10.

To use intercepts to help sketch the plane 2x+5y+z=10, we first need to find the x, y, and z intercepts.

To find the x-intercept, we set y and z equal to zero:

2x + 5(0) + 0 = 10
2x = 10
x = 5

So the x-intercept is (5, 0, 0).

To find the y-intercept, we set x and z equal to zero:

0 + 5y + 0 = 10
5y = 10
y = 2

So the y-intercept is (0, 2, 0).

To find the z-intercept, we set x and y equal to zero:

0 + 0 + z = 10
z = 10

So the z-intercept is (0, 0, 10).

Now we can plot these three points on a three-dimensional coordinate system and connect them to form a triangle, which represents the plane.

To sketch the plane, we start at the x-intercept (5, 0, 0), then draw a line to the y-intercept (0, 2, 0), and finally connect to the z-intercept (0, 0, 10). This forms a triangle in three-dimensional space that represents the plane 2x+5y+z=10.

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The negative sign indicates that the car is 80 km to the West of the starting point.

In mathematics, a coordinate is a numerical value that represents a particular point on a line, plane, or space. Coordinates are used to locate points and describe their position relative to a reference point or system. The number of coordinates required to specify a point depends on the dimensionality of the space. For example, a point in one-dimensional space (a line) requires one coordinate, a point in two-dimensional space (a plane) requires two coordinates, and a point in three-dimensional space (a space) requires three coordinates. The most common coordinate systems are Cartesian coordinates, which use a system of perpendicular lines to define a point's location, and polar coordinates, which use angles and distances from a fixed point to define a point's location.

Here,

To solve this problem, we need to use the concept of displacement. Displacement is the shortest distance between the starting point and the ending point of a journey. First, we need to find the total distance traveled by the car.

Distance traveled while heading East = 80 km/hour × 3 hours

= 240 km

Distance traveled while heading West = 80 km/hour × 4 hours

= 320 km

Total distance traveled = 240 km + 320 km

= 560 km

Now, we can find the displacement of the car. Since the car traveled in opposite directions, we need to subtract the distance traveled towards West from the distance traveled towards East.

Displacement = 240 km - 320 km

= -80 km

The negative sign indicates that the car is 80 km to the West of the starting point.

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Complete question:

A car leaves a place and heads East for 3 hours. Then, it heads straight West for 4 hours. The car maintained a speed of 80 km per hour throughout the trip. What is the position of the car in relation to the starting point?

Answer:

x = 11

Step-by-step explanation:

4x + 7 = 6x -15

4x - 6x = -15-7

-2x = -22 / : (-2)

x = 11

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

Answer:

First, we can write:

x = 2 . ¯ 3

Next, we can multiply each side by  10 giving:

10 x = 23 . ¯ 3

Then we can subtract each side of the first equation from each side of the second equation giving:

10 x − x = 23 .¯ 3 − 2 . ¯ 3

We can now solve for  x  as follows:

10 x − 1 x = ( 23 + 0 . ¯ 3 ) − ( 2 + 0 . ¯ 3 )  ( 10 − 1 ) x = 23 + 0 . ¯ 3 − 2 − 0 . ¯ 3  

9 x = ( 23 -2 ) + ( 0 . ¯ 3 − 0 . ¯ 3 )  

9 x = 21 + 0

9 x = 21

9 x /9 = 21 /9

9 x /9 = 3 × 7 /3 × 3

x = 3 × 7 /3 × 3

x = 7 /3

Hope this helps!

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Answer:

To solve this problem, we can use a combination formula. We need to distribute 12 identical blackboards among 4 schools, so the total number of possible divisions is:

C(12+4-1, 4-1) = C(15, 3) = 455

However, we need to consider the condition that school a receives at least 2 boards and school b receives at least one board. We can use a complementary counting approach to solve this.

First, let's find the total number of divisions where school a receives less than 2 boards and school b receives less than 1 board. If school a receives 0 or 1 board, that leaves 11 or 10 boards to be divided among the remaining schools. Similarly, if school b receives 0 boards, that leaves 12 boards to be divided among the remaining schools. Using the combination formula, we can find the number of possible divisions:

C(11+3-1, 3-1) * C(12+3-1, 3-1) = C(13, 2) * C(14, 2) = 8190

Now, we can subtract this number from the total number of possible divisions to find the number of divisions that satisfy the conditions:

455 - 8190 = -7735

Wait, that's a negative number! What does it mean? It means that there are no possible divisions that satisfy the conditions. In other words, it's impossible to distribute 12 blackboards among 4 schools such that school a receives at least 2 boards and school b receives at least one board.

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The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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It appears that someone else claimed your dependant, assuming you submitted your dependent's details accurately. If another individual claim your dependent before you do, the IRS will reject your return since it processes the first return it gets. In such case, you must take the following actions:

1. File a paper return.

2. Document your case.

3. Answer when the IRS contacts you.

The IRS will reject a tax return filed electronically by a parent claiming a kid who has already been claimed for the year. The return will appear to have never been submitted. The dependent's tax ID number must be included on any future tax returns for the same tax year that are submitted electronically.

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Answer:

Erosion

Step-by-step explanation:

Erosion is the movement of sediment from one place to another. Erosion is the mechanical process of wearing or grinding somethin down. It condition in which the earth’s surface is worn away by the action of water and wind.

Therefore, the answer is erosion.

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Given :

The straight line depreciation equation for  a motorcycle is y = -2,150x + 17,200.

To Find :

a. What is the original price of the  motorcycle? $17,200.00  ?

b. How much value does the motorcycle  lose per year?

c. How many years will it take for the  motorcycle to totally depreciate?

Solution :

y = -2,150x + 17,200.

Here, y is price and x is unit of time in years.

a)

We know, original price is given when x =0.

So, y = 0 + 17,200

y = $17,200.00

b)

Value motorcycle lose per year is coefficient of x i.e $-2,150.00

c)

Form total depreciate :

y = 0

0 = -2,150x + 17,200

x = 17,200÷2,150

x = 8 years.

Hence, this is the required solution.

Answer: Your answer should be C) 171! Hope this helps you!

Step-by-step explanation:

The strength factor of the evidence you just got that you picked the special box is 4.

Given:

There are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.

Hypothesis =  The box the blue marble was picked from is the special box.

Prior confidence = 1:3 (ratio of special boxes to non special boxes )

Now P(B | S) = 1/2 (given that a box is selected from the special box, there is 1/2 chance that it is blue)

And P(B | NS) = 1/8 (given that a box is selected from a non-special box, there is 1/8 chance that it is blue)

According to  bayes factor ,we get:

P(B | S)/P(B | NS) = (1/2)/(1/8) = 4

Thus, 4.

Therefore the strength factor of the evidence you just got that you picked the special box is 4.

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Podemos utilizar la función arcoseno para encontrar los valores del ángulo (t) en los que se cumple la ecuación. Sin embargo, ten en cuenta que puede haber múltiples soluciones dentro de un ciclo. Por lo tanto, debemos encontrar los valores del ángulo que se encuentran en el intervalo [0, 2π] y satisfacen la ecuación.

t1 = (30/2π) arcsin(89/99)

t2 = π - (30/2π) arcsin(89/99)

Para escribir la ecuación trigonométrica que describe tu altura sobre el suelo en función del tiempo, podemos utilizar una función seno. La función seno tiene un periodo de 2π, lo que significa que se repite cada 2π unidades de tiempo.

Dado que el viaje tarda 30 segundos en completar una revolución completa, el periodo de la función seno será 30 segundos. Además, necesitamos considerar el desplazamiento vertical de la función seno, que en este caso es 1 pie.

Entonces, la ecuación que describe tu altura sobre el suelo a los t segundos después de que comienza el viaje es:

h(t) = 99 sin((2π/30) t) + 1

Para encontrar los dos momentos dentro de un ciclo en los que te encuentras exactamente a 90 pies del suelo, debemos resolver la ecuación:

99 sin((2π/30) t) + 1 = 90

Restamos 1 a ambos lados de la ecuación:

99 sin((2π/30) t) = 89

Luego, despejamos el ángulo:

sin((2π/30) t) = 89/99

Finalmente, podemos utilizar la función arcoseno para encontrar los valores del ángulo (t) en los que se cumple la ecuación. Sin embargo, ten en cuenta que puede haber múltiples soluciones dentro de un ciclo. Por lo tanto, debemos encontrar los valores del ángulo que se encuentran en el intervalo [0, 2π] y satisfacen la ecuación.

t1 = (30/2π) arcsin(89/99)

t2 = π - (30/2π) arcsin(89/99)

Los momentos dentro de un ciclo en los que te encuentras exactamente a 90 pies del suelo son t1 y t2, donde t1 y t2 están en el intervalo [0, 30].

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Answer:

monyet lol

Step-by-step explanation:

a

B

C

C

C

C

C

C COk

A strategy to find the total area of water that will be sprayed by the four nozzles is to first find the total arc measure covered by the four nozzles and then find the fraction of the circle covered by the sprayed water.

The sum arc measure of the water spray in each sector, produced by all four nozzles, totals to 100 degrees. To calculate what portion of the circular fountain is covered by the sprayed water, divide this value by the circle's 360-degree total. For convenience, let us define r as the radius of the fountain. Then find the area of the circle.

Next, expand your knowledge of the coverage area further and multiply the fraction by the entire circular fountain's span to find the precise square footage. In turn, determining the wet sides' length requires assessing the circumference of the entire structure and multiplying it again by the fractional width measured earlier from the nozzle spray.

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Decimal: In order to convert the fraction to decimal, divide the numerator by the denominator.15/50 = 0.3Thus, 15/50 as a decimal is 0.3 Percentage

To write the fraction 15/50 as a decimal, we divide the numerator (15) by the denominator (50):

15 ÷ 50 = 0.3

Therefore, 15/50 written as a decimal is 0.3.

To convert the decimal 0.3 to a percentage, we multiply it by 100:

0.3 * 100 = 30

Therefore, 0.3 written as a percent is 30%.

Hence, 15/50 as a decimal is 0.3 and as a percent is 30%.

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Answer: 2π(1.75)(5)

Step-by-step explanation:

Hoped this helped