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A garden store randomly samples recent
purchase receipts. The results are shown.


If the store has 300 receipts in one weekend,
how many daisies were most likely purchased?
F 2,400 daisies
G 308 daisies
H 225 daisies
J 32 daisies

To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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Answer:

2.7 million euros per month

Step-by-step explanation:

Since the room is a rectangular prism, we find the area of the room without its top and bottom, which is the area of the walls, A. So,

A = 2(lh + wh) = 2h(l + w) where l = length of room = 50 m, w = width of room = 40 m and h = height of room = 75 m

Substituting the values of the variables into A, we have

A = 2h(l + w)

= 2(75 m)(50 m + 40 m)

= 150 m × 90 m

= 13500 m²

= 13500 × 1m²

= 13500 × 10000 cm²

= 135000000 cm²

= 1.35 × 10⁸ cm²

Now, since 50 cm² of space = 1 Euro per month, then 1.35 × 10⁸ cm²

= 1.35 × 10⁸ cm² × 1 Euro per month/50 cm²

= 0.027 × 10⁸ Euro per month

= 2.7 × 10⁶ Euro per month

= 2.7 million euros per month

So, the institute will earn 2.7 million euros per month

The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Understanding:

[Q1] f(x) represents the money Philip owes his friend while x being the time in months. When x was zero, Philip owed his friend a total of $1080. Therefore, the answer is D.

[Q2] You can calculate the slope by using the following formula \(m=\frac{y_2-y_1}{x_2-x_1}\), by using any 2 points on the graph we can easily calculate the slope.

\(m=\frac{810-1080}{6-0}=\frac{-270}{6}=-45\)

Solutions:

[Q1] D. Philip paid a total of $1080 for the car

[Q2] \(m=-45\)

[Q3] The slope represents the amount Philips pays his friend monthly.

Answer:

39 caramels

Step-by-step explanation:

For a bacteria population which become doubles in every 10 hours and the initial 20 bacteria number. Then the bacteria population after two and half days is equal to the 113.14.

There is a certain type of bacteria. The favorable growth medium, doubles in population every 10 hours. Initial bacteria population, a₀ = 20

We have to determine number of bacterias will there be in two and a half days, x = 2 + 1/2

= 5/2 days

The exponencial growth function that makes this work is written as

\(y = a_02^x\), where

Since they double every 10 hours. So, the equation is written by,

\(y = 20 × 2^{5/2} \)

= 113.14

Hence, required value is 113.14.

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Answer:

x = 48-32 = 16

y = 32/16 × 10 = 20

z = 48/32 × 26 = 39

Answer:

8/10

Step-by-step explanation:

The rise on the y axis is eight and the run on the x axis is 10

(Hope this helped)

==========================================================

Explanation:

The decrease is 0.4 million since 3.2 - 2.8 = 0.4

Divide this decrease over the initial population

0.4/3.2 = 0.125

This converts to 12.5% when you move the decimal 2 spots to the right.

The population decreased by 12.5%

Answer:

  4298.66 ft²

Step-by-step explanation:

You want the area of a circle with diameter 74 ft.

The area of a circle is given by ...

  A = πr²

where r is the radius, or half the diameter. In terms of diameter, this is ...

  A = π(d/2)² = (π/4)d²

The area of the circle with diameter 74 ft is ...

  A = (3.14/4)(74 ft)² = 4298.66 ft²

The area of the circle is about 4298.66 ft².

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Answer:

y= -1.5x+2

Step-by-step explanation:

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer: 39.50 is your answer

Step-by-step explanation: he is sending 5 packages of small and large .

a easy way to to see is multiply then add .

cost X packages

5 *3.30=16.50 (this is for the small packages )

5*4.60=23.00(this is for large packages )

then you get the two total amounts and add them .

23.00+16.50= 39.50

39.50 i show much it is going to cost him .

Answer:

[x - (4 + 2√3)] and [x - (4 - 2√3)]

Step-by-step explanation:

Given :

Divide throughout by 3 to simplify :

Using the Quadratic Formula :

Factors are :

\(\large\blue{ ──────────────────────}\)

Simplifying:

Reorder the terms:

Solving:

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.

\(\large\blue{ ──────────────────────}\)

keep learning <3

Answer:

C.

Step-by-step explanation:

Check where the points are, the solution will be in the shaded area

Total revenue is maximized at the price where the demand is unit elastic. Therefore, total revenue is maximized at the price of $-60. $Therefore, the correct option is: 1. Maximized

The given demand equation is: x+p/4 −30=0Also, we know that the elasticity of demand is given by:  $$\mathrm{Elasticity\;of\;Demand,\;}\mathrm{E_p}=-\frac{p}{x}\cdot \frac{d x}{d p}$$. We need to find the value of p, where the elasticity of demand is unitary or equal to 1. Therefore, we can equate the elasticity of demand to 1 and solve for p. $$\mathrm{Elasticity\;of\;Demand,\;}\mathrm{E_p}=-\frac{p}{x}\cdot \frac{d x}{d p}$$

Since we have the demand equation in terms of p and x, we can differentiate it with respect to p as follows:  $$x+\frac{1}{4}\cdot \left(-1\right)=0$$. Simplifying this we get:  $$x=-\frac{1}{4}p+30$$Now, we can differentiate the demand equation with respect to p: $$\frac{d x}{d p}=-\frac{1}{4}$$. Now, substituting the value of x from the demand equation in the above expression, we get:  $$\frac{p}{-\frac{1}{4}p+30}=-4$$. Simplifying this, we get:  $$p=-60$$. Therefore, the price at which the elasticity of demand is unitary is $-60.

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The two vectors are indeed considered linearly dependent if they are collinear. So the given statement is true about two linear dependent vectors.

The set \(\{v_1, v_2,.....,v_k\}\) is considered as linearly dependent if numbers \(\{x_1, x_2, ....,x_k\}\)are not equal to zero. Then, \(x_1v_1+x_2v_2+.....+x_kv_k=0\). This equation is referred to as the equation of linear dependence or linear dependence relation.

When two vectors are collinear, or when one is a scalar multiple of the other, they are said to be linearly dependent. These collinear vectors are also referred to as parallel vectors and these vectors will lie along the same line or parallel line. The given statement is therefore true.

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Answer:

They are equivalent

Step-by-step explanation:

Notice that \(\frac{4}{10}=\frac{2*2}{2*5}=\frac{2}{2}*\frac{2}{5}=1*\frac{2}{5}=\frac{2}{5}\). Also, in the picture, you see that they are the exact same size.

Answer:

it is option a

Step-by-step explanation:

if you look at the squares they are the same

Hello there! :)

Answer:

y = -4x.

Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

Plug in two points on the graph. We can use the points (-1, 4) and (0, 0):

\(m = \frac{0 - 4}{0 - (-1)}\)

Simplify:

m = -4.

Therefore, the equation of this line in slope-intercept form (y = mx + b) is:

y = -4x.

Answer:

X will be your answer be 126 and 110

Step-by-step explanation:

6x3x7=126

y=11x2x5=110

so X>Y

hope it helps!

Answer:

The missing step is 4x + 6 = -24. This step is justified by the additive property of equality. So the correct answer is B)

Step-by-step explanation:

The missing step in the given equation is 4x + 6 = -24. This step is justified by the additive property of equality. The additive property of equality states that if we add the same value to both sides of an equation, the equality remains true. In this case, 6 is added to both sides of the equation to isolate the term "4x" on the left side and move the constant term to the right side. Therefore, the correct answer is B: "4x + 6 = -24. This step is justified by the additive property of equality."

The required horizontal asymptote is y = c.

Given that,
An exponential function has the equation y=a*b^x+c, what will the horizontal asymptote is to be determined.

The function which is in format f(x) = a^x, where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

By horizontal asymptote for the exponential function, \(y=a*b^x+c\) it means that axis on the graph which do not constitute the function but gives every value of x for constant y. Removing the term containing x in the function gives a horizontal asymptote i.e.

y = c

Thus, the required horizontal asymptote is y = c.

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The square root of 44 is approximately 6.6332495807108.

Like the square root of 35, the square root of 44 is also an irrational number, which means it cannot be expressed as a finite decimal or a ratio of two integers. The exact value of the square root of 44 can be expressed using mathematical notation as √44.

To calculate an approximate value of the square root of 44, you can use a calculator or a mathematical method called estimation. For example, you could estimate that the square root of 44 is between the square roots of 36 and 49, which are 6 and 7, respectively. Then, you could try averaging these two values to get an estimate of the square root of 44:

(6 + 7)/2 = 6.5

This gives an estimate of 6.5 for the square root of 44. However, this is only an approximation, and the exact value of the square root of 44 cannot be expressed as a finite decimal or a ratio of integers, as it is an irrational number.

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The values of  that make the inequality v < 1  true are

{0 , -1 , -2,, -3, -4....}. An equivalent inequality, in terms of v, is v < 1.

In mathematics, an inequality is a relationship in which two numbers or other mathematical expressions compare unequal. Most commonly used to compare two numbers on the number line based on size. There are several notations used to represent various types of inequalities.

In both cases a is not equal to b. These relationships are known as strict inequalities. This means that a is either strictly less than or strictly greater than b. Equivalents are excluded.

There are two types of inequality relations that are not strict, as opposed to strict inequalities.

The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or equivalently greater than max b or b).

The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or equivalently at least greater than or equal to b or b). The not-greater-than-relation can also be represented by the "greater than" symbol a ≯ b, split in two by a forward slash "not". The same is true if it is not less than a ≮ b.

The notation a ≠ b means that a is not equal to b. This inequality is sometimes considered a strict inequality .

To get the values that make the inequality true, we have to solve the inequality for . This will also give an equivalent inequality in terms of v < 1.

     \(\frac{v}{1} > \frac{1}{1}\)

⇒ v >-1

the solution set is the set of values {0, 1 ,2,3,4,5...} . In other words,  v can take up values less or equal to -1  to make the inequality -v > -1  true

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The type of graph described, where the bars are positioned in order of decreasing height, is a Pareto chart. Option C

A Pareto chart is a specific type of vertical bar graph that displays data in descending order of frequency or magnitude. It is named after Vilfredo Pareto, an Italian economist who introduced the concept of the 80/20 rule, also known as the Pareto principle.

In a Pareto chart, the vertical bars represent different categories or groups, while the height of each bar represents the frequency or magnitude of the data associated with that category. The bars are arranged in descending order, with the tallest bar positioned on the left, gradually decreasing in height towards the right.

The purpose of a Pareto chart is to highlight the most significant factors or categories that contribute the most to a particular outcome. It allows for easy visual identification of the most important elements or issues, helping in decision-making and problem-solving processes.

Unlike a pie chart (option D) or a stem-and-leaf plot (option B), which represent data in different ways, a Pareto chart specifically focuses on ranking and ordering categories by their frequency or magnitude. Therefore, "pareto chart," is the most appropriate choice for the described graph. So  option C is correct.

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The value of the double integral ∬ D e^(x+y) dA over the domain D, where D is defined by x ≥ 5, y ≥ 5, and x+y ≤ 14, is (e^14 - e^10 - e^10 + e^5).

To compute the given double integral, we integrate the function e^(x+y) over the domain D defined by the given bounds. Let's solve it step by step:

1. Integrate with respect to x: Treat y as a constant and integrate e^(x+y) with respect to x over the interval x ≥ 5 and x+y ≤ 14.

  ∫[5, 14-y] e^(x+y) dx = e^y ∫[5, 14-y] e^x dx = e^y (e^(14-y) - e^5).

2. Integrate with respect to y: Integrate e^y (e^(14-y) - e^5) with respect to y over the interval y ≥ 5.

  ∫[5, ∞] e^y (e^(14-y) - e^5) dy = e^14 ∫[5, ∞] e^y dy - e^5 ∫[5, ∞] e^y dy.

  The integral of e^y with respect to y is e^y, so we have:

  e^14 [e^y]_[5, ∞] - e^5 [e^y]_[5, ∞] = (e^14 - e^5) - (e^5 - e^5) = e^14 - e^10.

Therefore, the value of the double integral ∬ D e^(x+y) dA over the domain D defined by x ≥ 5, y ≥ 5, and x+y ≤ 14 is (e^14 - e^10 - e^10 + e^5), which can be further simplified if desired.

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Answer:

= 6/5 or 1 1/5 or 1.20

Step-by-step explanation:

= 1/2(12÷3)3/5

= 1/2 (4) 3/5

= 2 x 3/5

= 6/5

HOPE THIS HELPS

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Answer:

31.4

Step-by-step explanation:

2x3.14x5=31.4

(2x3.14xRadius)

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Answer:

C

Step-by-step explanation:

trust me if you really need this done

Answer:

Angelo needs to use the formula V = \(\frac{4}{3} \pi (8.5)^3\).

Step-by-step explanation:

The formula for finding the volume of a sphere is \(V=\frac{4}{3} \pi r^3\), wherein the variable, r, is the radius. Diameter is one half of the radius; thus, it would be 17/2 = 8.5. Substitute the values into the equation (i.e. V = \(\frac{4}{3} \pi (8.5)^3\)).