Molly's favorite store is running a great deal. All products are marked down 20% from their original
price. Molly also has a coupon with her that is good for an additional 20% off of the sale price of an
item.
Which expression shows the final price she will pay for an item with her coupon, where p is the
original price of the item?

Answer:

(a)=50%(b)=2.1and(c)=16.1

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

5400 / 8 = x

675 = x

Each owner pays 675

Angles in a triangle may or may not be congruent.

The values of x and y are 90 and 47, respectively.

From the figure, we have:

\mathbf{AD \perp BC}AD⊥BC

This means that, angle x is a right-angle.

So, we have:

\mathbf{x = 90}x=90

Triangle ABC is an isosceles triangle.

So, we have:

\mathbf{\angle B = \angle C = 47}∠B=∠C=47

The measure of y is then calculated as:

\mathbf{y + \angle B + x = 180}y+∠B+x=180 --- sum of angles in a triangle

This gives

\mathbf{y + 47 + 90 = 180}y+47+90=180

\mathbf{y + 137 = 180}y+137=180

Subtract 137 from both sides

\mathbf{137 = 43}137=43

Hence, the values of x and y are 90 and 47, respectively.

The length of the apothem of the regular pentagon shown is 5.2 meters

Represent the central angle of the regular pentagon using x

The value of the central angle of the regular pentagon is then calculated as:

x = 360/n

Where n represents the number of sides

i.e n = 5

So, we have:

x = 360/5

Evaluate the quotient

x = 72

Represents the apothem with y.

The apothem is then calculated as:

tan(x/2) = (Side length/2)/Apothem

This gives

tan(72/2) = (7.6/2)/y

Evaluate the quotient

tan(36) =3.8/y

Multiply both sides by y

y tan(36) = 3.8

Divide both sides by tan(36)

y = 3.8/tan(36)

Evaluate the quotient

y = 5.2

Hence, the length of the apothem of the regular pentagon shown is 5.2 meters

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Answer:

Width is 15, length is 25

Step-by-step explanation:

80=2(X+(X+10)

40=2x+10

30=2x

x=15

Width is 15, length is 25

The range of the function f(x)= IxI+5 is x+5 for x>=0 and -x+5 for x<0.

Given that the function is f(x)=IxI+5.

We are required to find the range of the function.

Function is relationship between two or more variables expressed in equal to form. In a function each value of x must have a corresponding value of y. The value of x is known as domain of the function and the value of y is known as codomain of the function. Range of a function is a limit of values in which the values of function lies.

Function is f(x)= IxI+5

We know that IxI=x for x>=0 and -x<0.

We have to just put the value of IxI in f(x) to get the range of function.

f(x)=x+5 for x>=0 and -x+5 for x<0.

Hence the range of the function f(x)= IxI+5 is x+5 for x>=0 and -x+5 for x<0.

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Answer: 50°

Step-by-step explanation:

Hi ! As you can see, the whole angle on which there are the three angles is plane, so it is 180°.

And with this information, you can guess that : C = 180 - ( 65 + 65)

                                                                              C = 180 - 130

                                                                              C = 50°

You verify : 65 + 65 + 50 = 180, which means it should be correct, and there you go, hope it helped !

Answer:

We can use the formula for compound interest to solve this problem. The formula is:

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Each of the pairs of opposite angles made by two intersecting lines are called a pair of vertical angles. The value of x is 13.

Each of the pairs of opposite angles made by two intersecting lines are called a pair of vertical angles.

Given that ∠A and ∠B are vertical angles. Therefore, the measure of the two of the given angle will be equal to each other. Thus, we can write the measure of the two angles as,

∠A = ∠B

(5x + 5)° = (6x - 8)°

5x + 5 = 6x - 8

Bring the like terms on the same side of the equation,

5 + 8 = 6x - 5x

13 = x

x = 13

Hence, the value of x is 13.

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Answer:

a) \(r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857\)  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) \(m=\frac{64.5}{2000}=0.03225\)  

Now we can find the means for x and y like this:  

\(\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50\)  

\(\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425\)  

\(b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27\)  

So the line would be given by:  

\(y=0.3225 x -0.27\)  

Step-by-step explanation:

Part a

The correlation coeffcient is given by this formula:

\(r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}\)  

For our case we have this:

n=4 \( \sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501\)  

\(r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857\)  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

\(m=\frac{S_{xy}}{S_{xx}}\)  

Where:  

\(S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}\)  

\(S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}\)  

With these we can find the sums:  

\(S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000\)  

\(S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5\)  

And the slope would be:  

\(m=\frac{64.5}{2000}=0.03225\)  

Now we can find the means for x and y like this:  

\(\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50\)  

\(\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425\)  

And we can find the intercept using this:  

\(b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27\)  

So the line would be given by:  

\(y=0.3225 x -0.27\)  

Answer:

see explanation

Step-by-step explanation:

given that the shorter side is x , then

longer side is x + 7

hypotenuse is x + 8

Taylors total years of service is 21 years

Simple interest is an interest charge that borrowers pay lenders for a loan.

Simple interest is expressed as;

I = P× R × T)/100

where I is the interest,

P is the principal

R is the rate and T is the time.

In this case;

I = 1338.75 × 12 = 16065

P = $51,000

r = 1.5%

16065 = 51000× 1.5 × t/100

t = 1606500÷ 1.5 ÷ 51000

t = 21 years

Therefore the total number of years of service Taylor spent is 21 years.

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Answer:

60 gallons

Step-by-step explanation:

if it lost 6 1/4 % (6.25%), then it has (100 - 6.25)% = 93.75% (0.9375 as decimal) remaining.

64 X 0.9375 = 60 (gallons)

Answer:

3

Step-by-step explanation:

f(x)=3x-3

g(x)=-x^2+4,

f(2) = 3(2) -3 = 6-3 =3

g(-2) = -(-2)^2+4 = -4+4 = 0

f(2)-g(-2)= = 3-0 = 3

There is a significant difference in the quality of the peaches between the two distributors because:

A confidence interval is a term that connote an estimate (plus or minus) the variation that may be seen in that specific estimate.

A 95% confidence interval implies that if a person do a research such as (two different distributors, e.g. WholeFruits and GreenGroce) and took 100 different samples and then compute a 95% confidence interval for each sample, it therefore means that about 95 of the 100 confidence intervals will hold the true mean value (μ).

See options below

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 LOWER than the proportion of non sell-able items for Green Grocer.

We are 95% confident that the proportion of non sell-able peaches for Whole Fruits is about -0.064 and 0.156.

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.156 LOWER and 0.064 HIGHER than the proportion of non sell-able items for Green Grocer.

We are 95% confident that the proportion of non sell-able peaches from Whole Fruits is anywhere between 0.064 and 0.156.

We are 95% confident that the proportion of non sell-able items for Whole Fruits is anywhere between 0.064 and 0.156 HIGHER than the proportion of non sell-able items for Green Grocer.

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Answer:

1.3%

Step-by-step explanation:

Find the annual dividend by taking the quarterly dividend and mulitplying it by 4

.05*4= .2

divide that by the share price

.2/15= .013333333333333333333

which rounds to 1.3%

Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

Answer:

C. {2p + 5c = 8

p + c = 25

is the system of equation

Answer:

1.8

Step-by-step explanation:

Answer:

  x ≥ 5

Step-by-step explanation:

You want the domain of the equation y = √(x -5) -1.

The domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...

  x -5 ≥ 0

  x ≥ 5 . . . . . . the domain of this function

__

Additional comment

The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.

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Answer:

6^3

6 to the third power

or 3x3x3

Step-by-step explanation:

The solution of the expression 6⁻⁴.6⁶ will be 6².

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is 6⁻⁴.6⁶. The expression will be solved as below:-

6⁻⁴.6⁶ = 6⁻⁴⁺⁶

Use the exponent property when the bases are the same then the powers will be added.

6⁻⁴.6⁶ = 6²

Therefore, the solution of the expression 6⁻⁴.6⁶ will be 6².

The complete question is to simplify the expression 6⁻⁴.6⁶.

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Answer:

k/4+3=14

First you need to isolate the variable.

multiply both sides by 4

Answer:

63

Step-by-step explanation:

Answer:

6 without repetition

27 with repetition

Step-by-step explanation:

without repetition, you have 3 digits to choose from initially, then only 2, then only one, i.e.:

3×2×1 = 6

with repetition, you have 3 digits to choose from for every spot:

3×3×3 = 27

Answer:

$0.29 and if you want to round it up then it is going to be $0.30

Step-by-step explanation:

You are asking what 1 pack of gum costs. We already know that 6 packs of gum costs $1.74 and we need to find the unit rate which is basically what one pack of gum costs so in order to do that we need to \(\frac{1.74}{6}\) which is 0.29 and that is the cost of 1 pack of gum. Hope that helps and also can you please mark me as brainlist. Thank you

Answer:

expensive relationship

Answer:

We can start by finding the proportion of items that are not defective. Since 13% of items are defective, then 87% of items are not defective:

P(not defective) = 1 - P(defective) = 1 - 0.13 = 0.87

Next, we need to consider the probability that an item is classified as good by the inspector, given that it is actually good. This is the conditional probability:

P(classified as good | good) = 1 - P(misclassified | good)

We know that the inspector misclassifies an item 11% of the time, so the probability of correctly classifying a good item is:

1 - P(misclassified | good) = 1 - 0.11 = 0.89

Now we can use the multiplication rule to find the overall probability of an item being classified as good:

P(classified as good) = P(classified as good | good) * P(good)

P(classified as good) = 0.89 * 0.87 = 0.7743

Rounding to 3 decimal places, we get:

P(classified as good) ≈ 0.788

Therefore, approximately 0.788 or 78.8% of items will be classified as good

The probability that a red card is drawn at least once by the third draw is 0.88.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.

In a standard 52 card deck the red cards are 26.

So,

P(red) =  n(red cards) / n(total cards)

          = 26 / 52

P(red) = 0.50

Now, X ≈ Bin (n = 3, P = 0.50)

P(X = x) = (n  x) p^x (1 - p)^n-x

(n  x) = \(\frac{n!}{x!(n-x)!}\)

P(X ≥ 1) = 1 - P(X < 1)

            = 1 - P(X = 0)

            = 1- (3  0)(0.5)^0(0.5)^3

            = 1 - 0.125

             = 0.875

P(X ≥ 1)  = 0.88

Hence, the probability that a red card is drawn at least once by the third draw is 0.88.

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Answer:

6

Step-by-step explanation:

318 / 53  = 6

the remainder is 0