Ginger works at a restaurant and receives 15% discount in her meals .She correctly writes the expression p-0.15p to represent the amount she spends after her discount ,where p represents the amount of her total

Help me
Answer choices
1.15p
85p
0.85p
0.15p

The approximate probability that no people in a group of seven have the same birthday is around 27.4%.

In a group of seven people, there are 365 possible birthdays (assuming we ignore leap years and assume an equal distribution of birthdays throughout the year). The first person can have any birthday without any restrictions. However, as each additional person joins the group, the probability of having a unique birthday decreases. The second person must have a birthday different from the first person, which has a probability of 364/365. The third person must have a birthday different from both the first and second person, which has a probability of 363/365, and so on. The probability that no two people have the same birthday is the product of these probabilities. Therefore, the approximate probability can be calculated as (365/365) * (364/365) * (363/365) * (362/365) * (361/365) * (360/365) * (359/365), which equals approximately 0.2739, or 27.4%.

This calculation assumes that birthdays are uniformly distributed throughout the year and that each person's birthday is independent of the others. However, in reality, birthdays are not uniformly distributed, and there may be certain months or days with a higher probability of births. Additionally, there may be correlations between the birthdays of individuals in a group due to factors such as cultural practices or shared environments.

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Let:

x = original sides.

x + 4 = new width

x - 2 = new feet

So:

(x + 4)(x - 2) = 91

x² - 2x + 4x - 8 - 91 = 0

x² + 2x - 99 = 0

Factoring:

(x + 11)(x - 9) = 0

x = -11 (the lenght can't be negative so this answer is not valid)

x = 9 ft

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

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Given: A boat is located 324 feet from the base of the cliff.

The distance from the top of the cliff to the boat is 81 more than twice the height of the cliff, or 2h + 81.

We want to find: The height of the cliff, h.

Equations:

h + (2h + 81) = 324 (The height of the cliff plus the distance from the top of the cliff to the boat is equal to 324 feet)

3h + 81 = 324 (Expanding the left side of equation 1)

3h = 243 (Subtracting 81 from both sides of equation 2)

h = 81 (Dividing both sides of equation 3 by 3)

Therefore, the height of the cliff, h, is 81 feet.

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The answer is H0: At the 10% significance level, we conclude that the CFA designation is more lucrative than an MBA.

a. Set up the hypotheses to test if a CFA designation is more lucrative than an MBA at the 10% significance level.

The null hypothesis is: H0: μ1 ≤ μ2

The alternative hypothesis is: H1: μ1 > μ2So, the answer is (c) H0: μ1 − μ2 ≤ 0; HA: μ1 − μ2 > 0. b-1. Calculate the value of the test statistic.

The formula to find the test statistic is given by,

\[{\rm{T}} = \frac{{\left( {{\overline X _1} - {\overline X _2}} \right) - \left( {{\mu _1} - {\mu _2}} \right)}}{{\sqrt {\frac{{{\rm{s_1}^2}}}{n} + \frac{{{\rm{s_2}^2}}}{n}} }}\]Substituting the given values,\[{\rm{T}} = \frac{{\left( {146 - 133} \right) - \left( 0 \right)}}{{\sqrt {\frac{{{{\left( {53} \right)}^2}}}{41} + \frac{{{{\left( {26} \right)}^2}}}{52}} }} = 2.417\]

So, the value of the test statistic is 2.417.b-2. Find the p-value.

We need to find the p-value for a one-tailed test at a 10% significance level.

Since the alternative hypothesis is μ1 > μ2, the p-value is the area to the right of the test statistic.

Using a t-distribution table with 91 degrees of freedom (rounded to the nearest integer), we get the p-value as 0.010.

Since the p-value is less than the significance level, we reject the null hypothesis and conclude that the CFA designation is more lucrative than an MBA.

Therefore, the answer is H0: At the 10% significance level, we conclude that the CFA designation is more lucrative than an MBA.

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The line y = 4x + 12 has a slope of 4

A parallel line to this will have the same slope

So the slope of a parallel line to this line is 4

Answer:

slope = 4

Equation of a line

The equation of a line in point-slope form is:

To construct the incenter of a triangle, construct the angle bisectors of each angle of the triangle. Here are the steps to construct the incenter of a triangle:

Draw the three sides of the triangle using a straightedge.

Choose one of the angles of the triangle and draw its bisector. To do this, place the point of your compass on the vertex of the angle, and draw an arc that intersects both sides of the angle. Without changing the width of your compass, place it on each of the two points where the arc intersects the sides of the angle, and draw two more arcs that intersect. The point where these two arcs intersect is the point where the angle bisector meets the opposite side of the triangle.

Repeat step 2 for the other two angles of the triangle. You should now have three lines that intersect at a single point.

The point where all three angle bisectors intersect is the incenter of the triangle.

Note that the incenter of a triangle is the center of the circle that can be inscribed inside the triangle.

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The relation 1 is not a function, while the relation 2 is a function

For a relation to be a function, the following must be true:

Each y value in the function must have a unique x value

i.e. Each y value must have exactly one x value

Using the above as a guide, we have

Relation 1: This relation is not a function, because the x value 5 has two y values 2 and 4

Relation 2: This relation is a function, because each y value must have exactly one x value

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Answer:

what are you asking could you clarify, please

Step-by-step explanation:

Answer:

Which fraction represents Lena's speed in miles per hour?

Answer = 3 / 1/4 (three over one fourth)

What is Lena's speed in miles per hour?

Answer = 3 / 1/4 = 12 (three over one fourth equals twelve)

Step-by-step explanation:

i did it on iready and got it right c:

Answer:

one inch on the map is 8 miles

Step-by-step explanation:

divide 24 by 3

Answer:

a = 63˚

Step-by-step explanation:

1. Recognize that any triangle = ∑180˚

2. 180-81-b-a=0

3. 180-117=63˚

Ok, we need to make the composition of g(f(x))

So, let's do it:

Working we get:

A window is in the form of a rectangle surmounted by a semicircle. We have to find the dimensions when the perimeter is 12.Given: A rectangle surmounted by a semicircle. To Find: The dimensions when the perimeter is 12.Solution:Let AB be the length and BC be the breadth of the rectangle.

The diameter of the semicircle is equal to the breadth of the rectangle BC.So, radius of the semicircle = BC/2 = d/2 (Let's assume)Perimeter of the window = perimeter of the rectangle + circumference of semicircle Given perimeter

\(= 12So, 2 (AB + BC) + πd = 12\)We know that π =

22/7Substitute d = 2BC in the above equation, we get, 2 (AB + BC) + 22/7 × 2BC = 12⇒ 2 (AB + BC) + 44/7 × BC = 12⇒ 2AB + 2BC + 44/7 × BC = 12⇒ 14/7 AB + 16/7 BC = 6⇒ 2 AB + 2.2857 BC =

6Let's assume AB = \(x, then2x + 2.2857 BC = 6 ⇒ BC = (6 - 2x)/2.2857\)

Now, Substitute this value of BC in equation (1)2(x + (6 - 2x)/2.2857) + 22/7 (6 - 2x)/2 = 12Simplify this equation to get the value of x.x = 0.965 cmSo, AB = 0.965 cmBC = 1.786 cm Therefore, the dimensions of the rectangle surmounted by the semicircle are 0.965 cm and 1.786 cm when the perimeter is 12.

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Answer:

D

Step-by-step explanation:

Your answer is D trust me

Answer:

1 grapefruit cost $0.50 and 1 apple cost $0.53

Step-by-step explanation:

To find the unit cost of 1 fruit, divide the cost by the amount of fruit.

Grapefruit = 3.00 ÷ 6 = $0.50

Apple = 2.65 ÷ 5 = $0.53

If f is a function from the finite set x to the finite set y, then f is said to be one-to-one if every element in x maps to a unique element in y. In other words, no two elements in x can map to the same element in y.

Now, let's assume that |x|>|y|. This means that there are more elements in x than there are in y. Therefore, there must be at least one element in x that does not have a unique element in y to map to. If this element maps to the same element in y as another element in x, then f is not one-to-one. This is because two elements in x have mapped to the same element in y, violating the definition of a one-to-one function.

Hence, we can conclude that if |x|>|y|, then f cannot be one-to-one. This is a fundamental result in set theory and is important to understand in order to properly define functions and their properties.

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A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.

A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.

In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.

The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.

By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.

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Answer:

x=105

Step-by-step explanation:

75+75+x+x=360

150+2x=360

2x=210

x=105

I hope this is correct and helps you!

Answer:

x = 105°

Step-by-step explanation:

Because x° and 75° are supplementary angles (sum equals 180°), we cand do 180° - 75° to find x.

180° - 75° = x

x = 105°

the explanation and the answer in the photo

Answer:

5 folders and 5 pens = yes

6 pens and 6 erasers = yes

1 pen and 4 notebooks = no

3 folders and 7 erasers = no

4 folders and 2 notebooks = yes

Step-by-step explanation:

Max total = $10

(5 folders x 1.29) + (5 pens x 0.70)

6.45 + 3.50 = 9.95

(6 pens x 0.70) + (6 erasers x 0.89)

4.20 + 5.34 = 9.54

(1 pen × 0.70) + (4 notebooks × 2.35)

0.70 + 9.40 = 10.10

(3 folders × 1.29) + (7 erasers × 0.89)

3.98 + 6.23 = 10.21

(4 folders × 1.29) + (2 notebooks × 2.35)

5.16 + 4.70 = 9.86

Answer:

The y axis is a vertical line

Step-by-step explanation:

Y axis is up

Answer:

2 and 3

Step-by-step explanation:

To simplify this expression, you will need to use the distributive property.

Multiply -2/5 by 15 = - 6, -2/5 by -20d = 8d, and -2/5 by 5c = -2c.

you can switch these around to get -6 + 8d - 2c and -2c + 8d - 6.

Hope this helps :)

Answer:

36

Step-by-step explanation:

There are several ways to find area of triangle from vertex coordinates, the easiest is: (x₁*(y₂-y₃) + x₂*(y₃-y₁) + x₃*(y₁-y₂)) / 2

Area = ((-1)*(-6 - -6) + (-6)*(-6 - 2) + (3)*(2 - -6)) / 2

        = (0 + 48 + 24) / 2

        = 72/2

        = 36

Answer:

34 Units ^2

Step-by-step explanation:

Answer:

gorgeous

Step-by-step explanation:

Answer:

i am disturbed.

Step-by-step explanation:

this image is disturbing to me, because he is staring at you in your sleep too

The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

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Answer:

71%

Step-by-step explanation:

Firstly, 200 - 58 = 142

Next, 142 / 200 = 0.71

0.71 x 100 = 71%