Just Sip Awhile Café ordered 54 boxes of sugar packets. Each box contained 42 packets of
sugar. How many sugar packets in total did the café order?

Answer:

A

Step-by-step explanation:

We need to find the correct options which represents the given equation . We can try it out by eliminating the given options , as

So , option A , and D are preferred choices .

Option A is the correct option . ✔️

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. It is considering a promotion that involves mailing discount coupons to all its credit card customers. This promotion will be considered a success if more than 10% of those receiving the coupons use them. Before going national with the promotion, coupons were sent to a sample of 100 credit card customers. Out of the 100 customers, 13 customers said that they used the discount coupons to make a purchase at a Eagle Outfitters store. Use a 0.05 level of significance. (a) Develop the null and alternative hypotheses that can be used to test whether the population proportion of those who will use the coupons is sufficient to go national. (b) Compute the sample proportion. (c) Compute the test statistic. (d) Compute the critical value. (e) Based on the critical value, do we reject H0 or do we not reject H0? (f) Based on the result of the hypothesis test, should Eagle Outfitter go national with the promotion?

Solution:

a) We would set up the hypothesis test.

For the null hypothesis,

H0: p ≥ 0.1

For the alternative hypothesis,

Ha: p < 0.1

This is a left tailed test

Considering the population proportion, probability of success, p = 0.1

q = probability of failure = 1 - p

q = 1 - 0.1 = 0.9

b) Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 13

n = number of samples = 100

p = 13/100 = 0.13

c) We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.13 - 0.1)/√(0.1 × 0.9)/100 = 1

The calculated test statistic is 1 for the right tail and - 1 for the left tail.

d) Since α = 0.05, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.51/2 = 0.025

The z score for an area to the left of 0.025 is - 1.96

For the right, α/2 = 1 - 0.025 = 0.975

The z score for an area to the right of 0.975 is 1.96

e) In order to reject the null hypothesis, the test statistic must be smaller than - 1.96 or greater than 1.96

Since - 1 > - 1.96 and 1 < 1.96, we would fail to reject the null hypothesis.

Therefore, based on the result of the hypothesis test, the Eagle Outfitter should go national with the promotion

Answer:

x = 20

Step-by-step explanation:

We know that the vertically opposite angles are equal.

Accordingly,

41 = 2x + 1

Subtract 1 from both sides.

41 - 1 = 2x

40 = 2x

Divide both sides by 2.

x = 20

The statement is false. A differentiable function has a well-defined derivative at every place in its domain, whereas a periodic function repeats itself after a predetermined time.

The adage that a periodic function's derivative is also periodic is untrue in general. For instance, the function f(x) = cos(x) is differentiable everywhere and periodic with period 2; however, the derivative f'(x) = -sin(x) is not periodic.

As a result, the regularity of a periodic function's derivative is not implied by the fact that the function is differentiable. The sawtooth wave is an illustration of a periodic function with non-periodic variations.

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1. The function has x-intercepts at x = -2 and x = 3, so the answer is

A.(- 2, 0) * and(3, 0).

2. The y-values are increasing on the interval from x = -3 to x = -1, and from x = 1 to x = 3. So the answer is B, -3 < x < -1.

What is x-intercept?

1. To find the x-intercepts of the quadratic function, we need to find the values of x for which y is equal to 0.

The x-intercept of a function is the point at which the graph of the function intersects the x-axis. At the x-intercept, the value of y (the output of the function) is equal to zero, which means that the corresponding input value of x causes the function to have an output of zero.

From the table, we can see that the function has x-intercepts at x = -2 and x = 3, so the answer is A.

What is an interval?

2. To determine where the function is increasing, we need to look for intervals where the y-values are increasing as x increases.

From the table, we can see that the y-values are increasing on the interval from x = -3 to x = -1, and from x = 1 to x = 3. So the answer is B, -3 < x < -1.

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Answer:

x-3y+12

Step-by-step explanation:

Step-by-step explanation:

x-3y+12 is the answer I think

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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The required radius of the circle is 10 cm.

The formula for the circumference C of a circle in terms of its radius r is given by:

C = 2πr

We are given that the circumference of the circle is 20π cm. So we can set this expression equal to 20π and solve for r:

20π = 2πr

Dividing both sides by 2π, we get:

r = 10

Therefore, the radius of the circle is 10 cm.

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Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

The density of the ball is the percentage of the density of water

equivalent to the percentage of the volume immersed in water

Correct response:

Given:

A ball floating on water

Percentage of the ball immersed in water = 25% = 0.25

Required:

The density of the ball

Solution:

According to Archimedes' principle, we have;

The weight of the ball = Weight of the water displaced

Therefore;

Mass of the ball = Mass of the water displaced

Volume of water displaced = 25% of the volume of the ball

Let r represent the radius of the ball, we have;

\(Volume \ of \ water \ displaced = 0.25 \times \dfrac{4}{3} \cdot \pi \cdot r^3 = \mathbf{\dfrac{1}{3} \cdot \pi \cdot r^3}\)

Mass of the ball = Mass of water displaced

Density of water = 997 kg/m³

Which gives;

\(Mass \ of \ ball\ W = \mathbf{ 997 \times \dfrac{1}{3} \cdot \pi \cdot r^3}\)

\(Density = \mathbf{\dfrac{Mass}{Volume}}\)

Therefore;

\(Density = \dfrac{997 \times \dfrac{1}{3} \cdot \pi\cdot r^3 }{\dfrac{4}{3} \cdot \pi \cdot r^3} = \dfrac{997}{4} = \mathbf{249.25}\)

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Answer:

6 miles

Step-by-step explanation:

3 minutes = 1/20 of an hour

120 miles x 1/20 of an hour = 6 minutes

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Step-by-step explanation:

\( \tan( x ) = \frac{13}{18} \\ x = arctan (\frac{13}{18} ) \\ x = {79}^{o} \)

9514 1404 393

Answer:

  66

Step-by-step explanation:

The card is covered with (6/100)/(1/100) = 6 stickers along the short dimension, and (11/100)/(1/100) = 11 stickers along the long dimension.

The number of stickers on the card is 6×11 = 66.

The correct answer is, Cougars; they have a larger median value of 22 inches.

Calculating the median and mean for each data set, we get:

Cougars:

Median = 22 inches

Mean = 22.3 inches

Panthers:

Median = 22.5 inches

Mean = 22.2 inches

Since the median of the Cougars data set is larger than the median of the Panthers data set, we can conclude that the Cougars have the largest overall size hat for their players.

Therefore, the correct answer is, Cougars; they have a larger median value of 22 inches.

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Answer:

Hypotenuse is the longest side in a triangle.

a^2=b^2+c^2.

5^2=4^2+c^2.

c^2=25-16.

c^2=9.

c=√9.

c=3cm.

The dimensions of the room are approximately 5.87 meters by 7.63 meters.

Let's assume the width of the room is "x" meters.

According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.

Perimeter = 2(length + width)

Substituting the values we know:

27 = 2(1.3x + x)

Simplifying:

27 = 2(2.3x)

27 = 4.6x

Dividing both sides by 4.6:

x = 27 / 4.6

x ≈ 5.87

The width of the room is approximately 5.87 meters.

To find the length, we can multiply the width by 1.3:

Length = 1.3 * 5.87 ≈ 7.63

The length of the room is approximately 7.63 meters.

Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.

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Answer:

Step-by-step explanation:

Since they have the same height, the h of the cylinder must be 2r like the sphere.

\(V_c=h\pi r^2,\ given\ h=2r,\ V_c=2\pi r^3,\ 2\pi r^3=48,\ r^3=\frac{24}{\pi}\\ \\ V_s=\frac{4\pi r^3}{3},\ V_s=32 cm^3\)

Answer:

Hans initially borrowed $1499.04

Step-by-step explanation:

Information:

Borrowed for 4 years

Interest rate of 6%

Final amount: $1920

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

1. Find 6% less of 1920.

This would be the same as multiplying a number by 0.94

So: 1920 * 0.94 = 1804.8

Then repeat this 3 more times:

1804.8 * 0.94 = 1696.51   <(Because money is only shown in cents, we round to the nearest 100's place for decimals.)

1696.51 * 0.94 = 1594.72

Then finally,

1594.72 * 0.94 = 1499.04

This means that the initial cash amount Hans borrowed was $1499.04

Answer:

Angle of elevation = 78.88 (Approx)

Step-by-step explanation:

Given:

Height of lighthouse = 225 m

Height of cliff = 55 m

Base distance = 75 m

Find:

Angle of elevation

Computation:

Total height  = 225 + 55

Total height  = 280 m

Tan θ = Total height / Base distance

Tan θ = 280 / 75

Tan θ = 5.09090909

θ = 78.88 (Approx)

Angle of elevation = 78.88 (Approx)

Answer:

4n=10-n

n=2

Step-by-step explanation:

add n to both sides

5n=10

divide both sides by 5

n=10/5

n=2

log₃(-2 tan(x)) = 1/2

Write both sides as powers of 3, and use the property \(b^{\log_ba}=a\):

\(3^{\log_3(-2\tan x)}=3^{\frac12}\)

-2 tan(x) = √3

Then solve for x :

tan(x) = -√3 / 2

x = arctan(-√3 / 2) + nπ

x = -arctan(√3 / 2) + nπ

where n is any integer.

As a result, the rectangular prism's volume in fully factored form is:

V = (x - 1) * (l * w * h)

A 3D form with six rectangular faces is referred to as a rectangular solid. A rectangular solid's volume can be calculated using the formula V = lwh, where l denotes the solid's length, w its width, and h its height.

In this instance, we are informed that the rectangular solid's height is 17 units. Also, we are informed that the solid's base is a rectangle with an area of (x-1) square units. We can assume that the solid has length l and width w because its base is a rectangle.

Solids with six rectangular faces are known as rectangular solids. They go by the name rectangular prisms as well. Following are some examples of rectangular solids in daily life:

Laptops, school notebooks, fish tanks, cargo containers, rooms, storage sheds, refrigerators, cereal boxes, tissue boxes, cars, and more.

As a result, we have:

l * w = x - 1

The rectangular solid's volume is:

V = lwh

With l * w = x - 1 and h = 17 as substitutes, we obtain:

V = (x - 1)lw

This phrase can be factored as follows:

V = (x - 1)l * w * h

Since l * w = x - 1 and h = 17, we have:

V = (x - 1) * l * w * h

V = (x - 1) * (l * w * h)

As a result, the rectangular prism's volume in fully factored form is:

V = (x - 1) * (l * w * h)

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Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Answer:

Answer: -3/2

Step-by-step explanation:

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Given that this is an isosceles triangle, then the lengths of the sides opposite the two 45º angles have to be the same length.

For this reason, x = 8.

And since x = 8 and there's only one answer with x=8, the first option must be the answer.

You can calculate the value of y using the Pythagorean Theorem.  

   \(y^2 = 8^2+8^2\)
which will lead you to \(y=8\sqrt{2}\).  

By simplifying a system of equations we will see that the correct option is the second one:

(2a - 7) + a  = 41

Let's define the variables:

We have the statements:

"Taylor's sister is 7 years less than twice Taylor's age"

s = 2*a - 7

"The sum of Taylor's age and her sister's age is 41"

s + a = 41

So we have a system of equations:

s = 2a - 7

s + a = 41

Replacing the first equation in the second one we get:

(2a - 7) + a  = 41

So the correct option is the second one, that is the equation that represents this relationship.

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