Jefferson's Popcorn & Roasted Nuts Shop sells cone-shaped bags of roasted cashews, shown below. What is the volume of the bag of nuts?

Answer:

The answer is 4

Step-by-step explanation:

The statement is incorrect because a confidence interval provides a range where we are 90% confident that the population mean falls, not where 90% of the data lies.

The statement made by the classmate is incorrect.

A 90% confidence interval does not represent the range in which 90% of the data falls. Instead, it provides a range of values within which we can be 90% confident that the true population parameter lies. In this case, the interval is given as 22.5 < u < 32.0, where "u" represents the population mean.

To clarify, a 90% confidence interval implies that if we were to take multiple samples from the population and calculate the confidence interval for each sample, approximately 90% of those intervals would contain the true population mean.

It is important to understand that a confidence interval does not describe the distribution or range of the actual data points themselves. It is solely an estimate of where the population parameter (in this case, the mean) is likely to lie with a specified level of confidence.

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a. The number of red roses left t hours after the store opens \(R(t) = 400/2^{t/2}\)    

b. The number of boxes of chocolate left t hours C(t) = 200 - 0.15t

c. One possible solution is t ≈ 7.546 hours after the store opens.

d. there are 194 boxes of chocolates left.

e. you need to arrive at the store no later than 7.504 hours after it opens.

a. The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.:

\(R(t) = 400/2^{t/2}\)

b. Let C(t) be the quantity of boxes of chocolate left t hours after the store opens. At first, there are 200 boxes, of which 15% are purchased every hour. We can therefore write:

C(t) = 200 - 0.15t

c. We must solve the equation R(t) = C(t) in order to determine the time at which the number of boxes of chocolates and the number of roses are equal. We obtain: by substituting the formulas we discovered in parts a and b:

\(400/2^{t/2} = 200 - 0.15t\)

Simplifying this equation, we get:

\(2^{t/2 + 1} + 0.15t - 400 = 0\)

We can solve this equation numerically, using a calculator or a computer program. One possible solution is t ≈ 7.546 hours after the store opens.

d. At 12:30 in the early evening, which is 3.5 hours after the store opens, we can utilize the recipe we tracked down to some extent b to work out the quantity of boxes of chocolates left:

C(3.5) = 200 - 0.15(3.5) = 194.25

We ought to adjust this solution to appear to be legit with regards to the issue. Since we cannot have a fraction of a box, we can round to the nearest integer and state that there are 194 chocolate boxes remaining.

e. To buy 36 red roses, we need to solve the equation R(t) = 36. Substituting the formula we found in part a, we get:

\(400/2^{t/2}= 36\)

Simplifying this equation, we get:

2^(t/2) ≈ 11.111

Taking the logarithm of both sides, we get:

t/2 ≈ log2(11.111)

t ≈ 2 log2(11.111)

Using a calculator, we get:

t ≈ 7.504 hours after the store opens.

Therefore, you must arrive at the store no later than 7.504 hours after it opens in order to purchase 36 red roses.

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Answer:

She has to get a score of 88 on that test

Step-by-step explanation:

Take the average of the other grades, and that gives you 84.25. So she has to think about what rating she gives it is 85, and the rating is 88.

Hailey needs to score an 88 on the last exam in order to get an average of 85.

The overall average is the mean and the mean is calculated by adding up all the scores and then dividing by the number of exams.

There are 5 exams but only 4 scores. The 5th score will be denoted, "x" and the average we are looking for is 85.

The fifth score should therefore be:

Overall score = Sum of 5 exams / 5

85 = (86 + 94 + 76 + 81 + x) / 5

85 x 5 = 337 + x

425 = 337 + x

x = 425 - 337

= 88

In conclusion, Hailey needs a score of 88 on the fifth exam.

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Answer:

can you give a chart or something?

The x and the y values of the equation are x = 3 and y = 1

From the question, we have the following parameters that can be used in our computation:

y= -2/3x + 3 and y= 2x - 5

Substitute the known values in the above equation, so, we have the following representation

-2/3x + 3 = 2x - 5

Evaluate the like terms

8/3x = 8

so, we have

x = 3

Also, we have

y = -2/3x + 3

This gives

y = -2/3 * 3 + 3

Evaluate

y = 1

Hence, the solution is x  3 and y = 1

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The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Join the points B and O and then join points D and O

Angle A = (1/2)Angle BOD

Angle B = 140 degrees

Angle A = (1/2)140 degrees

Angle A = 70 degrees

Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

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Answer: step by step

Step-by-step explanation:

not totally sure what you're asking but in this equation p=2

The number of sides of the polygon, is 5

The perimeter of an object is the outer boundary length, is calculated by adding all its sides.

Given that, the perimeter of a different regular polygon is 75b - 20 the length of one of its sides is 15b-4 we need to find the number of sides of the polygon,

Let the number of sides of the polygon be x,

Therefore,

(15b-4)x = 75b-20

x = 75b-20 / 15b-4

x = 5(15b-4) / 15b-4

x = 5

Hence, the number of sides of the polygon, is 5

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Answer:

676

Step-by-step explanation:

lxw

14x35

4x24

6x15

676

Answer:

C. 12π

Step-by-step explanation:

C = π2r
C = π*2*6
C = π*12
C = 12π

Hope this helps :)

Each of the value of x in the diagram above are as follows

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines.

Next, we would determine each of the missing angles denoted by x as follows with respect to the START BOX;

x = 141° (alternate interior angles theorem).

x = 39° (corresponding angles).

x + 169 = 180

x = 180 - 169 = 21°.

x = 88° (vertically opposite angles).

x = 180°- 82°

x = 98°

x + 41 = 180

x = 180 - 41 = 139°.

x + 117 = 180

x = 180 - 117 = 139°.

x = 102° (vertically opposite angles)

x + 130 = 180

x = 180 - 130 = 50°.

x + 14 = 180

x = 180 - 14 = 166°.

x + 18 = 180

x = 180 - 18 = 162°.

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The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

Answer:

no

Step-by-step explanation:

-x+y=-3

-4+1=-3

which is correct

x+3y=6

4+3×1=6

4+3=6

which is incorrect because 4+3=7

Answer:

35%

Step-by-step explanation:

35 divided by 100 = 0.35 = 35%

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

50 degrees

Step-by-step explanation:

3 x 6 = 18

56 - 18 = 38

38 + 12 = 50

Step-by-step explanation:

Parallelogram   -   yes    two pairs of parallel sides

Quadrilteral    - yes      4 sided polygon

Rectangle    - yes

Square    - yes

Rhombus   - yes

trapezoid  -   yes    

Answer:

We dissect each statement from the problem above to fully understand it.

the sum of a number and 7 is (x + 7)

3 times this is 3(x + 7)

is means the equal sign here 3(x + 7) =

Two less then 5 times the number is 5x - 2.

Therefore, the answer is B, 3(x + 7) = 5x - 2

A. The greatest common factor of 9x² − 15x − 6 is 3.

B. The factored form of 9x² − 15x − 6 is 3(x - 2)(3x + 1).

C. The method to check your factored form by multiplying is (3x - 6)(3x + 1) = 9x² − 15x − 6

The expression given is  9x² − 15x − 6.

The greatest common factor is the highest number that divides exactly into two or more numbers.

A.

Therefore, the greatest common factor of 9x² − 15x − 6 is 3.

The greatest common factor is the number that can divide 9x², -15x and -6 without remainder.

B.

Let's factor the expression.

9x² − 15x − 6

Using the greatest common factor

3(3x² - 5x - 2)

Therefore,

3(x - 2)(3x + 1)

C

let check our factoring by multiplying

3(x - 2)(3x + 1)

(3x - 6)(3x + 1) = 9x² − 15x − 6

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Based ob the information, we have sufficient evidence in the favor of the claim that there is significance difference

Since the P-value is less than the significance level , we have to reject the null hypothesis.

From the above test we have sufficient evidence in the favor of the claim that there is significance difference

Also, the means for sentences and intentional differ significantly, because the p-value is less than alpha and zero is outside the confidence interval.

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Therefore , the solution of the given problem of angles comes out to be  M∠R measured at 45.4 degrees, to the closest tenth.

The intersection of the lines that form a skew's ends determines the size of its biggest and smallest walls. There's a possibility that two paths will intersect at a junction. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

To determine the size of angle R in triangular PQR, we can apply the Law of Cosines:

=> cos(R) = (PQ₂ + PR₂ - QR₂) / (2 * PQ * PR)

=>  cos(R) = (5.4₂ + 6.2₂ - 3.6₂) / (2 * 5.4 * 6.2)

=>  cos(R) = 0.6960917

When we calculate the inverse cosine of both sides, we obtain:

=>  R = cos⁻¹(0.6960917)

=>  R equals 45.4 degrees

Angle R in triangle PQR is therefore measured at 45.4 degrees, to the closest tenth.

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Answer:

4,5

Step-by-step explanation:

Answer:

Try A

Step-by-step explanation:

The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A group of scientists studied the amount of erosion at a beach. The scientist determined that the equation is given below.

y = -0.5 x + 26

The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.

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The distance between  Georgetown and clayton on the scale model  is 2 inches.

In math, the term scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object.

The distance between Georgetown and clayton on a map with a scale of 1 inches: 14 miles can be found as follows;

They are actually 28 miles.

Therefore,

14 miles = 1 inches

28 miles = ?

cross multiply

distance between Georgetown and clayton on the scale model = 28 / 14

distance between Georgetown and clayton on the scale model = 2 inches

Therefore, the distance on the scale model is 2 inches.

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Answer:

B. The graph cross the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10

Step-by-step explanation:

→Looking at the line as it increases, you can see that it intersects at the point of (0, 5) on the y-axis.

→The line on the graph is increasing from the point where x = -10, and stops at x = 2.

→The line then stays constant (basically meaning it doesn't increase/decrease, making it a horizontal line), strting from x = 2, to x = 10.

Looking at the points above, you can determine that the correct answer is "B. The graph cross the y-axis at (0, 5), increasing from x = -10 to x = 2 and remaining constant from x = 2 to x = 10."