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Jose has a loyalty card good for a 19% discount at his local pharmacy. If the total cost, before tax and discount, of all the items he wants to buy is
�
c, which expression does NOT represent the cost after the discount?

0.81c
0.981c
c−0.19c
1c−0.19c

The first error that Holden made in his proof is option (B) Holden only established some of the necessary conditions for a congruence criterion.

Congruence of triangles is a relationship between two triangles where they have exactly the same shape and size. When two triangles are congruent, all their corresponding sides and angles are equal in measure.

Holden's proof contains an error because he only established the congruence of one pair of corresponding sides in the two triangles. However, to prove the congruence of two triangles, all corresponding sides and angles must be shown to be congruent using a congruence criterion such as SSS or SAS. Therefore, Holden's proof is incomplete and does not provide sufficient evidence to conclude that the two triangles are congruent.

Therefore, the correct option is (B) Holden only established some of the necessary conditions for a congruence criterion.

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The given question is incomplete, the complete question is:

Holden tried to prove that △FGH≅△FIH

1 IH≅GH

Given

2 FH≅FH

Line segments are congruent to themselves.

3 △FGH≅△FIH

Side-side congruence

What is the first error Holden made in his proof?

(A) Holden used an invalid reason to justify the congruence of a pair of sides or angles.

(B) Holden only established some of the necessary conditions for a congruence criterion.

(C) Holden established all necessary conditions, but then used an inappropriate congruence criterion.

(D) Holden used a criterion that does not guarantee congruence.

Answer:

$7

Step-by-step explanation:

We know

SALE 75% OFF!

100% - 75% = 25%

So, the soup pot is now only 25% of its original price.

25% = 0.25

28 times 0.25 = $7

So, Dominic will pay $7 if he buys it during the sale.

Answer:

1.1 meters/second

Step-by-step explanation:

Speed = the magnitude of distance / time

Distance = 9.9 meters

Time = 9.0 seconds

Speed = 9.9 meters / 9.0 seconds = 1.1 meters/second

Answer:

4,-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

If I found the mean, the answer would be:

3+ 4+4+4+5+6+7+23= 56

56/ 8 = 7

If I found the average value using the median, the answer would be 4.5.

In this set of data, the anomaly is 23 as it is much higher than the other numbers.

The median is more accurate because it find the more ‘central’ number and is not affected as greatly with anomalies whereas the mean is affected greatly with anomalies as it raises the value significantly.

Therefore, the median is better to work out the average in this set of data.

:)

Answer:

does the sugar levels matter just bake the da*n cookies man

Based on the given, the cost of 1kg beetroot and 1kg kale is £1.2 and £2.6 respectively.

Let

cost of 1kg beetroot = x

cost of 1kg kale = y

1.5x + 4y = 12.20

2x + 5y = 15.40

Multiply (1) by 5 and (2) by 4

7.5x + 20y = 61

8x + 20y = 61.60

Subtract the equations to eliminate y

8x - 7.5x = 61.60 - 61

.5x = .60

divide both sides by 0.5

x = .60/.5

x = 1.2

substitute into (1)

1.5x + 4y = 12.20

1.5(1.2) + 4y = 12.20

1.8 + 4y = 12.20

4y = 12.20 - 1.8

4y = 10.4

divide both sides by 4

y = 10.4/4

y = 2.6

Hence, beetroot cost £1.2 per kg and kale cost £2.6 per kg

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Answer:

360

Step-by-step explanation:

I got it right

The equation that can be used to determine the number of days is $123 = $55 + $8.50d

An equation is an expression that has an equal to sign. A linear equation is an equation that has a single variable raised to the power of one. The form of a linear equation is:

y = mx + b

Where:

The form of the linear equation that can be used to determine the number of days is:

Total cost = flat fee + (cost per day x number of days)

$123 = $55 + ($8.50 x d)

$123 = $55 + $8.50d

d = ($123 - $55) / 8.50

d = 8 days

Here is the complete question:

Val rented a bicycle while she was on vacation. She paid a flat rental fee of $55.00, plus $8.50 each day. The total cost was $123. Write an equation you can use to find the number of days she rented the bicycle.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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The total distance Joshua walks every day is 4 miles (to school) + 4 miles (from school) + 5 miles (to the basketball court) = 13 miles, with the legs being the distance from school to the basketball court and the distance from school to Joshua's home.

Using the Pythagorean theorem, we can find the hypotenuse:

c² = a² + b²c²

= 4² + 5²c²

= 16 + 25c²

= 41c

≈ 6.4 miles

To the nearest mile, Joshua would need to walk 6 miles to go directly from school to the basketball court. The distance Joshua walks to school every day is 4 miles. The distance Joshua walks to the basketball courts on weekends is 5 miles. To find, The distance Joshua needs to walk to go directly from school to the basketball court. We can find the total distance Joshua walks every day using the given information: 4 miles to school + 4 miles from school + 5 miles to basketball courts = 13 miles.

To find the distance from school to the basketball court, we need to use the Pythagorean theorem. Joshua would need to walk the hypotenuse of a right triangle, with the legs being the distance from school to the basketball court and the distance from school to Joshua's home To the nearest mile, Joshua would need to walk 6 miles to go directly from school to the basketball court In this question, we need to calculate the distance between school and the basketball court. Firstly, Joshua walks 4 miles to school every day and 5 miles to the basketball court on weekends. Therefore, we can find the distance by the nearest mile, Joshua would need to walk 6 miles to go directly from school to the basketball court.

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The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer:

Each crate can contain 288 baseballs.

Step-by-step explanation:

Since one baseball takes up 1 × 1 × 1 space, and each box has 6 × 6 × 2 units of space, then the number of baseballs in one box is 6 × 6 × 2 ÷ 1 × 1 × 1 = 72 baseballs.

So, 72 baseballs can be contained in one box.

Now, since each crate contains 4 boxes, the number of balls contained in each crate is 1 × 4 boxes = 1 × 4 × 72 baseballs = 288 baseballs.

So each crate can contain 288 baseballs.

Answer:

(4,-1) is the answer

Step-by-step explanation:

The value of (x,y) is (1,4)

Rotation through 270° anticlockwise direction;

when point P is rotated than

P(x,y) ----------> P' ( y,-x)

A (1,4)----------> A' (4,-1)

The transformation that will result in a random variable Y with a Cauchy probability density function (PDF) is given by Y = tan(Xπ/2).

To derive this transformation, we can use the result of Exercise 4.44, which states that if X is a random variable with a continuous distribution and Y = g(X), then the PDF of Y is given by f_Y(y) = f_X(g^{-1}(y)) / |g'(g^{-1}(y))|, where f_X(x) is the PDF of X and g^{-1}(y) is the inverse function of g.

In this case, we are given that the PDF of X is f_X(x) = exp(-x)u(x), where u(x) is the unit step function. To find the transformation Y = g(X), we need to find g(x) such that g(X) has the desired PDF, f_Y(y) = (1 + y^2)^{-1}/(17π).

By comparing the desired PDF of Y with the general form of the Cauchy PDF, we can see that g(x) should be g(x) = tan(xπ/2). Taking the inverse function, we have g^{-1}(y) = arctan(y)/π.

Substituting these values into the formula for the PDF of Y, we have f_Y(y) = f_X(g^{-1}(y)) / |g'(g^{-1}(y))| = exp(-arctan(y)/π) / (1 + y^2) / π = 1 / (1 + y^2) / (17π), which matches the desired PDF.

Therefore, the transformation Y = tan(Xπ/2) will result in a random variable Y with a Cauchy PDF given by f_Y(y) = 1 / (1 + y^2) / (17π).

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Based on the information in the graph, it can be inferred that the sport with the most players and followers is cricket.

To make a bar graph with the information in the table, we must take into account the categories (watch and participate), the different sports and the data that correspond to each category and each sport.

Once we understand this data, we need to set the parameters of the graph. On one axis we put the reference of the different values and on the other axis we put the different sports. Additionally, we must take into account that we must make two bars for each sport and that they represent the individuals who participate and the individuals who watch.

According to the above, the graph would look like this:

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The ratio of any pair of corresponding sides is the RATIO OF SIMILARITY between any two similar figures. Simply put, when two figures are found to be similar, all of their associated side pairs have the same ratio.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

Since,

the number of circle in the given figure is 4

the number of squares in the given figure is 16

total number of figures is 20

Ratio is 4/20=1/5

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

37/200

Step-by-step explanation:

.185= 185/1000

reduce to- 37/200

Hope this helps.

To estimate the standard deviation using the range rule of thumb, we need to find the range of the data set and divide it by 4.

In this case, the range is the difference between the highest and lowest heights, which is cm. Dividing by 4 gives us an estimate of the standard deviation of cm.
Comparing this estimate to the actual standard deviation of cm calculated from the data set, we can see that the estimate is off by quite a bit. This suggests that the range rule of thumb is not a very accurate method for estimating standard deviation.
In fact, the range rule of thumb is only accurate for data sets that are roughly bell-shaped and symmetrical, which may not be the case for body measurements. To get a more accurate estimate of standard deviation, we would need to use a more sophisticated statistical method.
Overall, the result suggests that we need to be cautious when using the range rule of thumb to estimate standard deviation, especially when working with data that is not well-behaved or that has outliers.

To estimate the standard deviation (s) using the range rule of thumb with body measurements, we first need the range of the heights of males provided in the dataset. Unfortunately, the low and high values in centimeters were not included in the question. However, I can explain the process step by step, and you can plug in the correct values to determine the accuracy of the estimate.
Step 1: Calculate the range
Range = High value (in cm) - Low value (in cm)
Step 2: Apply the range rule of thumb
Estimated standard deviation (s) = Range / 4
Step 3: Compare the estimated standard deviation to the given standard deviation (in cm)
Compare the estimated s value from Step 2 to the given standard deviation of cm (again, the value was not provided in the question).
Step 4: Determine the accuracy of the estimate
If the difference between the estimated s and the given standard deviation is within the specified cm (not provided in the question), then the estimate is considered accurate.
By following these steps and inputting the correct values, you can determine whether the range rule of thumb provides an accurate estimate for the standard deviation (s) of male heights in the body measurements dataset.

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The range rule of thumb provides a rough estimate of the standard deviation of data. By comparing the estimated and actual standard deviations, we can determine the accuracy of this rule for the given data set. If the estimated standard deviation is within n cm of the actual one, the estimate is considered accurate.

The range rule of thumb is a rule that provides a rough estimate of the standard deviation of a set of data. We can find it by dividing the range of the data (the difference between the largest and smallest data values) by 4. Thus, if the lowest height is cm and the highest is cm, then the estimated standard deviation ' would be ( − ) / 4.

Comparing this estimated standard deviation ' to the actual standard deviation calculated using the heights can provide a rough idea of how well the range rule of thumb works for this data set. If ' is within cm of , then the estimate can be considered accurate. If not, it suggests that the range rule of thumb may not provide a very accurate estimate for this particular data set.

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Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-19.2 = -3.6x + 2.4

Step 2: Solve for x

Mr. Tan has a maximum of 76 students in his class, so he will have to give each one 36 pencils and 40 notebooks.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been given that

Mr. Tan had 35 pencils and 42 notebooks

All of them to his students that he was short of 1 pencil and had an extra 2 notebooks.

Here the number of pencils = 35 and

the number of notebooks = 42 and

As per the given situation,

Therefore the required solution would be

maximum number of students = number of pencils + 1 + number of notebooks - 2

maximum number of students = 35+1+42-2 = 76

Therefore, Mr. Tan had 76 students.

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X is equal to 8 and Y is equal to 3.

A pair that has two values stated in a certain sequence between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane.

Each domain element should have exactly one picture for the function, therefore the newest element in the column of x shouldn't be 6,3,9,7. Thus, we have two options for x = 8 or 12

Taking 8 will allow us to add another to the column on y, making y equal to 3.

thus, x = 8 and y = 3.

When an ordered pair is used, the numbers do not repeat.

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The fraction of the lawn that still remains to be mowed is 2/15

The fraction of the lawn that still remains to be mowed, we need to subtract the portions already mowed by Gerald and Maurice from the whole lawn.

Gerald has mowed 2/3 of the lawn, which means 1 - 2/3 = 1/3 of the lawn still remains to be mowed.

Maurice has mowed 1/5 of the lawn, so if we subtract that from the remaining fraction, we get 1/3 - 1/5.

To subtract these fractions, we need to find a common denominator. The least common multiple of 3 and 5 is 15.

Converting 1/3 and 1/5 to have a denominator of 15

1/3 = 5/15 1/5 = 3/15

Now we can subtract

(5/15) - (3/15) = 2/15

Therefore, 2/15 of the lawn still remains to be mowed.

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Answer:

-1

Step-by-step explanation:

8+9=17

9+8=17

17-8=9

17-9=8

But, 8-9 is -1

Answer:

387 i think

i just divided 1162 by 3

If the ratio increases the power of x, there is no upper limit. If the ratio reduces the power of x to zero, the limit is zero.

An ordered pair of numbers namely a b that is stated as a / b, with b not equal to zero, is referred to as a ratio. A ratio is a result of equating two ratios. In this case, the ratio would be 1:3 (one boy to three girls), meaning that 3/4 of the population is female and only 1/4 is male. A part is a number, a proportion of size, or a difference between two or more things.

As x gets bigger, the upper bound is the ratio of something like the highest-degree words.

the ratio increases the power of x, there is no upper limit. If the ratio reduces the power of x to zero, the limit is zero.

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Answer:

8 packages of pasta and 8 jar of sauce which is $32 dollars and 20lbs in total

Step-by-step explanation:

8 pack of pasta is 8$ and 8lbs

8 jars of sauce is 24$ and 12lbs

8 plus 12 is 20 which is the max of lbs Tyler can carry.