Ms. Dimas wants to buy a hat that is regularly priced at $40 but is now on sale of 20% off. The sales tax on the hat is 10% of the sale price. How much does the hat cost Ms. Dimas?

It is well known that utilizing a zip file is an effective method for reducing the size of the document in order to boost storage and sharing possibilities. A zipped folder may be smoothly moved from one place (the transmitter) to another without any issues (the receiver).

One or more files can be compressed and stored together in one location using the ubiquitous ZIP file format. As a result, the file size is less and is simpler to transport and store. After transmission, the receiver can use the files in their original form by unzipping (or extracting) her ZIP file.

In order to increase storage and sharing capabilities by lowering the size of the document, it is known that using a zip file is an efficient technique. A zipped folder may be effortlessly transferred without any hiccups from one location (the transmitter) to another (the receiver). Using Zip files has the primary benefit of reducing the time required to send large files over email. The document's quality is unaffected and is identical to the original file when it is compressed using a zip file.

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The error at 99.7% probability is ±0.88.

To determine the error at 99.7% probability, we use the concept of confidence intervals. In a normal distribution, approximately 99.7% of the data falls within three standard deviations of the mean.

Given that the standard deviation of the measurements is ±0.42, we can multiply it by three to obtain the error at 99.7% probability.

3 * 0.42 = 1.26

However, since the error is given as ±0.42, we divide the calculated value by two to get the error on one side:

1.26 / 2 = 0.63

Therefore, the error at 99.7% probability is ±0.63. Rounding it to two decimal places, we have ±0.63 ≈ ±0.88.

Hence, the error at 99.7% probability is approximately ±0.88.

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Answer:

Step-by-step explanation:

f(t)= 20t-5t^2

Answer:

(4,0)

Step-by-step explanation:

I did it on khan and got it right :)

Answer:

i think the aswer is A 98+ g =150. 98 +98 +g = 150- 98. t =52

Answer:

B

Step-by-step explanation:

please mark me branliest!

The probability that the salesperson will make exactly two sales in a day is 0.1489, the probability that the salesperson will make at least two sales in a day is 0.1451, and the expected number of sales per day is 0.8.

Let X be the number of sales made per day by the salesperson.

Then X follows a binomial distribution with parameters n = 8 and p = 0.10.a. To find the probability that the salesperson will make exactly two sales in a day, we need to find P(X = 2).

P(X = 2) = nCx * p^x * q^(n-x) = 8C2 * (0.10)^2 * (0.90)^6 = 28 * 0.01 * 0.5314 = 0.1489

Therefore, the probability that the salesperson will make exactly two sales in a day is 0.1489.

b. To find the probability that the salesperson will make at least two sales in a day, we need to find P(X ≥ 2).

P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)] = 1 - [(8C0 * (0.10)^0 * (0.90)^8) + (8C1 * (0.10)^1 * (0.90)^7)] = 1 - [1 * 0.90^8 + 8 * 0.10 * 0.90^7] = 0.1451

Therefore, the probability that the salesperson will make at least two sales in a day is 0.1451.

c. Expected number of sales per day = E(X) = n * p = 8 * 0.10 = 0.8

Therefore, the expected number of sales per day is 0.8.

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First, let's calculate the monthly interest rate (i), which is the APR divided by 12 months:

i = APR / 12 months

i = 5.3% / 12

i = 0.00442 or 0.442%

Next, let's calculate the number of months (n) for the mortgage, which is 15 years multiplied by 12 months:

n = 15 years x 12 months/year

n = 180 months

Now, let's calculate the monthly payment (PMT) using the following formula:

PMT = P * i / \((1 - (1 + i)^(-n)\))

where P is the principal amount, i is the monthly interest rate, and n is the number of months.

PMT = $325,000 * 0.00442 / (1 - \((1 + 0.00442)^(-180)\)

PMT = $2,613.67 (rounded to the nearest cent)

Now, let's create the amortization table for the first two months:

Month | Payment | Interest | Principal | Remaining Balance

1 | $2,613.67 | $1,431.25 | $1,182.42 | $323,817.58

2 | $2,613.67 | $1,428.60 | $1,185.07 | $322,632.51

For each month, the Payment column shows the fixed monthly payment, the Interest column shows the calculated interest based on the remaining balance multiplied by the monthly interest rate, the Principal column shows the portion of the payment that goes towards reducing the principal, and the Remaining Balance column shows the remaining balance after subtracting the principal payment from the previous remaining balance.

The amortization table will continue in this manner for the remaining months until the mortgage is paid off.

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The interest and principal amounts for the first payment are:

Interest = $325,000 * 0.0044167 = $1,426.25

Principal = $2,549.67 - $1,426.25 = $1,123.42

Balance = $325,000 - $1,123.42 = $323,876.58

For the second payment, we start with the new balance of $323,876.58 and apply the formulas again:

Interest = $323,876.58 * 0.0044167 = $1,420.47

Principal = $2,549.67 - $1,420.47 = $1,129.20

Balance = $323,876.58 - $1,129.20 = $322,747.38

To complete the two-month amortization table, we need to calculate the monthly payment, as well as the principal and interest amounts for each payment.

The formula for calculating a fixed-rate mortgage payment is:

\(Payment = P * r * (1 + r)^n / [(1 + r)^n - 1]\)

Where:

P = Principal amount borrowed

r = Monthly interest rate

n = Total number of payments

First, let's calculate the monthly interest rate.

Since the APR is an annual rate, we need to divide it by 12 to get the monthly rate:

Monthly interest rate = 5.3% / 12 = 0.0044167

Next, we need to calculate the total number of payments.

Since this is a 15-year mortgage, and we're completing a two-month amortization table, the total number of payments is:

Total number of payments = 15 years * 12 months per year = 180

Number of payments for two months = 2

Now we can plug these values into the formula to calculate the monthly payment:

Payment = \($325,000 * 0.0044167 * (1 + 0.0044167)^180 / [(1 + 0.0044167)^180 - 1]\)

= $2,549.67

So the monthly payment is $2,549.67

Now we can use this value to complete the two-month amortization table:

Payment Interest Principal Balance

Month 1 $1,426.25 $1,123.42 $323,876.58

Month 2 $1,420.47 $1,129.20 $322,747.38

To calculate the interest and principal amounts for each payment, we use the following formulas:

Interest = Balance * Monthly interest rate

Principal = Payment - Interest

Balance = Balance - Principal

We start with the initial balance of $325,000 and apply the formulas for each payment.

The interest and principal amounts for the first payment are:

Interest = $325,000 * 0.0044167 = $1,426.25

Principal = $2,549.67 - $1,426.25 = $1,123.42

Balance = $325,000 - $1,123.42 = $323,876.58

For the second payment, we start with the new balance of $323,876.58 and apply the formulas again:

Interest = $323,876.58 * 0.0044167 = $1,420.47

Principal = $2,549.67 - $1,420.47 = $1,129.20

Balance = $323,876.58 - $1,129.20 = $322,747.38

And so on, for each subsequent payment.

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Answer:

fortnite fortnite fortnite

As a result, one cup of tea costs £0.65 and one cup of coffee costs £3.15.

Cost computation helps in deciding on pricing, manufacturing output, and sales. It also helps in figuring out the costs of the products and services the company sells.

Let's assume that a cup of tea costs t and a cup of coffee costs c.

We can infer the following based on the initial piece of knowledge:

3t + 1c = 5.10 --------------(1)

We learn the following from of the second piece of information:

1t + 4c = 8.30 --------------(2)

We can find the solutions to t and c because we have two equations with two variables.

Equation (1) is multiplied by 4 and equation (2) is taken away to yield the following result:

9t = 5.90

Therefore:

t = 0.65

Using t = 0.65 as the replacement in equation (1), we get:

3(0.65) + 1c = 5.10

1c = 5.10 - 1.95

1c = 3.15

Therefore:

c = 3.15

As a result, one cup of tea costs £0.65 and one cup of coffee costs £3.15.

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The sum of any rational number and any irrational number will always be an irrational number.

It should be noted that a rational number is any number that can be expressed as the fraction a/b, where a and b are integers.

It should be noted that the set of rational numbers includes all whole numbers, proper and improper fractions.

The sum of a rational number and an irrational number will always be an irrational number. For example, 5 + pi will be:

= 5 + π

= 5 + 3.142

= 8.142

Therefore, the sum of any rational number and any irrational number will always be an irrational number.

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The probability of an event happening is represented as a fraction, with the numerator being the number of favorable outcomes and the denominator being the total number of outcomes.

In this case, if the player throws two darts, the probability that both land in a shaded region is equal to the product of the probabilities of each dart landing in the shaded region.

If the shaded region is a circle with radius r and the darts are randomly thrown onto a larger circle with radius R, then the probability of a dart landing in the shaded region is given by:

P = (Area of shaded region) / (Area of larger circle) = (πr^2) / (πR^2)

So, the probability that both darts land in the shaded region is given by:

P = (πr^2 / πR^2) * (πr^2 / πR^2) = (πr^2 / πR^2)^2

Note that the specific values of r and R would depend on the particular game and the dimensions of the object.

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Based on the calculations, the value of x in terms of p is 15/p. Also, when p is equal to -5, the value of x is -3.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to describe the steps that should be taken to rearrange and make x the subject of formula. Therefore, the appropriate and required steps are listed as follows:

4(px + 1) = 64

You should divide both sides by 4:

4(px + 1)/4 = 64/4

px + 1 = 16

You should subtract 1 from both sides:

px + 1 -1 = 16 - 1

px = 15

x = 15/p

Therefore, the value of x in terms of p is 15/p.

When p = -5, the value of x is given by:

x = 15/p

x = 15/-5

x = -3.

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Answer:

60 dogs

Step-by-step explanation:

40/8 = 5 dogs per hour

12 x 5 = 60 dogs in 12 hours

Answer:

B

Step-by-step explanation:

The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.

This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).

If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).

Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.

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Answer: i think it is D

we have:

\(\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }\)

Step-by-step explanation:

She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

To make the recipe,

3/4 quart of lemonade and 3 cups of cranberry juice

The ratio of cranberry juice to a quart of lemonade

⇒ 3/(3/4) = 4

To make the same recipe with 1(2/5) quarts of lemonade the ratio of cranberry juice to a quart of lemonade must be maintained.

So,

4 = cranberry juice / 1(2/5)

(5/7) × cranberry juice = 4

Cranberry juice = 28/5 ⇒ 5 (3/5).

Hence "She will need 5 3/5 cups of cranberry juice to make a punch for the school if Molly uses 1 2/5 quarts of lemonade".

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Answer: In the small box you can put 9 small cans and 1 big can

0.25 x 9 = 2.25

2.25+2.7=4.95

In the big box, you can put 2 big cans and 10 small can

2.7x2= 5.4

0.25x10 =2.5

5.4+2.5=7.9

let me know if that's right

Answer: 7 is the opposite of negative 7

Step-by-step explanation:

Hope this helps :)

Answer:Answer: Airplane maintains 1,118 km distance in 2.2 hours

Step-by-step explanation:

Answer:

y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P

Answer:

y=2x + (-1)

Slope is m=2 and the y-intercept is b= -1

As per the unitary method, Yves bought 60 angelfish and 360 parrotfish for the museum display.

Let's start by assigning variables to the unknown quantities. Let's assume the number of angelfish Yves bought is 'x,' and the number of parrotfish he bought is 'y.' We are given two pieces of information: the total number of tropical fish Yves bought (420) and the fact that he bought 6 times as many parrotfish as angelfish.

Total number of tropical fish:

We know that Yves bought a total of 420 tropical fish. So, we can write the equation:

x + y = 420

Parrotfish to angelfish ratio:

The problem states that Yves bought 6 times as many parrotfish as angelfish. This can be expressed as:

y = 6x

Now, we have a system of two equations with two variables. We can solve this system using the unitary method.

Step 1: Solve the second equation for y:

y = 6x

Step 2: Substitute the value of y in the first equation:

x + 6x = 420

Simplifying the equation:

7x = 420

Step 3: Solve for x:

x = 420/7

x = 60

Step 4: Substitute the value of x back into the second equation to find y:

y = 6x

y = 6 * 60

y = 360

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Answer:

x = -3

Step-by-step explanation:

3(x + 4) + 3x = -6

3x + 12 + 3x = -6

6x + 12 = -6

6x = -18

x = -3

Answer:

x=-3

Step-by-step explanation:

3x+12+3x=-6

6x+12=-6

    -12  -12

6x=-18

6     6

x=-3

The expression without using absolute value is 2z - 11

Given the expression with absolute value expressed as:

lz-6l-lz-5l

Since absolute function can both be negative or positive, hence;

lz-6l-lz-5l = z - 6 - -(z - 5)

lz-6l-lz-5l = z-6-(-z+5)

lz-6l-lz-5l = z - 6 + z - 5

lz-6l-lz-5l = 2z - 11

Hence the expression without using absolute value is 2z - 11

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Answer:

Step-by-step explanation:

Uh sorry but there is no picture here

Answer:

no graph is attached

Step-by-step explanation:

Answer:

Parallelogram

Result

Area = b × h

= 5.5 × 11

X = 40c + 39 = 40(4) + 39 = 199 is the required smallest positive integer.

The smallest positive integer which when divided by 4, 5, 8 and 9 leaves remainder 3, 4, 7 and 8, respectively is 539.

The given equation isx ≡ 3 (mod 4)x ≡ 4 (mod 5)x ≡ 7 (mod 8)x ≡ 8 (mod 9)

By the first condition,x = 4a + 3

where a is any positive integer.

Substituting in the second condition,4a + 3 ≡ 4 (mod 5)⇒ 4a ≡ 1 (mod 5)⇒ a ≡ 4 (mod 5)

Let a = 5b + 4 (where b is any positive integer)

Substituting this in x = 4a + 3, we get

x = 4(5b + 4) + 3 ⇒ x = 20b + 19

Now, substituting this in the third condition,20b + 19 ≡ 7 (mod 8)⇒ 4b ≡ 4 (mod 8)⇒ b ≡ 1 (mod 2)Let b = 2c + 1

Substituting this in x = 20b + 19,x = 20(2c + 1) + 19 ⇒ x = 40c + 39

Finally, substituting this in the fourth condition,40c + 39 ≡ 8 (mod 9)⇒ 4c ≡ 5 (mod 9)

We know that the modular inverse of 4 modulo 9 is 7.

Multiplying both sides by 7,7(4c) ≡ 7(5) (mod 9)⇒ 28c ≡ 35 (mod 9)⇒ c ≡ 4 (mod 9)

Hence,x = 40c + 39 = 40(4) + 39 = 199 is the required smallest positive integer.

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From the stem and leaf plot, let's write the data set:

10.9 cm

11.0 cm

11.2 cm

11.2 cm

12.1 cm

12.3 cm

We need to find the range of the data set, which is, the difference between the length of the longest pencil and the shortest pencil.

From the data set, we can see:

• Length of Longest Pencil = 12.3 cm

• Length of Shortest Pencil = 10.9 cm

The difference is

12.3 - 10.9 = 1.40 cm