Alicia bought a new game that was 15% off. The discount took 4.65. What was the original price of the shirt?

The solution to the system of equations is (x, y) = (-4, 6).

To solve the system using the addition method, we want to eliminate one variable by adding or subtracting the equations.

Let's solve it step by step:

First, let's multiply the second equation by 6 to make the coefficients of x in both equations equal:

6(x + 5y) = 6(26)

6x + 30y = 156

Now, we can add the modified second equation to the first equation:

(-6x - 8y) + (6x + 30y) = -24 + 156

The -6x and 6x terms cancel each other out:

-8y + 30y = 132

Simplifying the equation further:

22y = 132

To solve for y, divide both sides of the equation by 22:

y = 132 / 22

y = 6

Now that we have the value of y, we can substitute it back into either of the original equations.

Let's use the second equation:

x + 5(6) = 26

x + 30 = 26

x = 26 - 30

x = -4

Therefore, the solution to the system of equations is (x, y) = (-4, 6).

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Complete question =

Solve the system with the addition method:

-6x - 8y = - 24

x + 5y = 26

Answer: (x,y)

Answer:

-1, 3, -3

Step-by-step explanation:

I don't see the graph, but you can solve by factoring:

[tex]x^3+x^2-9x-9=0\\x^2(x+1)-9(x+1)=0\\(x+1)(x^2-9)=0\\(x+1)(x+3)(x-3)=0[/tex]

By the factor theorem, the solutions of f(x) are -1, 3, and -3.

The requried solutions of x³ + x² - 9x - 9 = 0 is x = -3, -1, 3. Option C is correct.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
To find the solutions of equation x³ + x² - 9x - 9 = 0, we need to find the x-intercepts of the graph of the function f(x) = x³ + x² - 9x - 9.

From the graph, we can see that the function intersects the x-axis at three points, which are approximately -3, -1, and 3. Therefore, the solutions of the equation are x = -3, x = -1, and x = 3.

Thus, the correct answer is x = -3, -1, 3.

Options A, B, and D are incorrect because they either do not include all three solutions or include additional solutions that are not present in the graph of the function.

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Answer:

3-6

Step-by-step explanation:

The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².

To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:

First, let's simplify the exponent expressions within the parentheses:

3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)

3⁰ = 1 (because any number raised to the power of 0 is 1)

Now, we can rewrite the expression with the simplified exponents:

3⁻⁶ × (81 ÷ 1)²

Next, simplify the division within the parentheses:

81 ÷ 1 = 81

Now, the expression becomes:

3⁻⁶ × 81²

Simplify the exponent:

81² = 6561 (because 81 × 81 = 6561)

Now, the expression becomes:

3⁻⁶ × 6561

1/729 × 6561

6561/729

dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:

729/81

We get 9 which is equal to 3².

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Answer:

21

Step-by-step explanation:

I haven't done this in a long time but this is what I know: the discount would overall be 25%. So, you set it up by .25(84) = 21. Therefore the jacket would cost $21.

I hope this is right and helps!

Answer:

I believe x would be 30

Step-by-step explanation: When you add 20+10 it will give you the other triangle side, which is  30, and then 22+11 will be 33. And for the final side 24+12 will give you 36

Step-by-step explanation:

IN ΔAMN ΔABC

Since MN∣∣BC

∠AMN=∠ABC (Corresponding angles)

∠ANM=∠ACB (Corresponding angles)

∴ΔAMN∼ΔABC(By $$AA similarity criterion)

⇒

AB

AM

=

AC

AN

=

BC

MN

(CPST)

Since, M is mid-point of AB,

AM=

2

1

AB,or,

AB

AM

=

2

1

or,

AB

AM

=

AC

AN

=

2

1

AC

AN

=

2

1

5

AN

=

2

1

[∵AC=5cm]

AN=

2

5

cm=2.5cm

Also,

AB

AM

=

BC

MN

=

2

1

7

MN

=

2

1

[∵BC=7cm]

MN=

2

7

=3.5

Ans=AN=2.5cm and MN=3.5cm

solution

The 90% confidence interval for the  population proportion of flips that will be heads is given as follows:

(0.746, 0.814).

The interpretation is that we are 90% sure that the true proportion of all tosses with this coin is between these two bounds.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The parameters for this problem are given as follows:

[tex]n = 400, \pi = \frac{312}{400} = 0.78[/tex]

The lower bound of the interval is given as follows:

[tex]0.78 - 1.645\sqrt{\frac{0.78(0.22)}{400}} = 0.746[/tex]

The upper bound is given as follows:

[tex]0.78 + 1.645\sqrt{\frac{0.78(0.22)}{400}} = 0.814[/tex]

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Answer:

30% or none of these

Step-by-step explanation:

since least of the girls voted for biking it would be the least percent amount.

Hope this helped and have a wonderful day! <3 :))

82sq ftAnswer:

Step-by-step explanation:

Answer: Yes

Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.

Answer:

Mild- 5x=50 4x=40  

Medium- 90- 48=42, 42/2=21 so, 2x=21    

Spicy- 90-25=65, 65+18=83

Step-by-step explanation:

I'm gonna guess that this is the angle measurement so.....

Answer:

360 degrees

Step-by-step explanation:

The solutions are:  (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.

a. (A U B)' represents the complement of the union of sets A and B. To find (A U B)', we need to list all the elements in the universal set U that are not in the union of sets A and B. The union of sets A and B, A U B, includes all the elements that are in either set A or set B (or both). So, A U B = {2, 3, 4, 5, 6}. The complement of A U B, (A U B)', will contain all the elements in the universal set U that are not in the set A U B. Therefore, (A U B)' = {1, 7, 8, 9}.

b. (A ∩ B) x A represents the Cartesian product of the intersection of sets A and B with set A. To find (A ∩ B) x A, we need to list all possible ordered pairs that can be formed by selecting one element from the intersection of sets A and B and pairing it with an element from set A. The intersection of sets A and B, A ∩ B, contains the elements that are common to both sets A and B. In this case, A ∩ B = {3, 4}.

Now, we take each element from A ∩ B and pair it with each element from set A. So, (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}. Therefore, (A U B)' = {1, 7, 8, 9} and (A ∩ B) x A = {(3, 2), (3, 3), (3, 4), (4, 2), (4, 3), (4, 4)}.

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1. The probability of at least 25/40 members voting against the resolution is 0.92114

2. the probability of at least 25/40 members voting for the resolution is 0.92114.

We are to find the probability of the following events:

First, we find the number of members who are likely to vote against the resolution from each party.

Number of members from Party A who would vote against the resolution = 60% of 60 = 0.60 × 60 = 36.

Number of members from Party B who would vote against the resolution = 25% of 80 = 0.25 × 80 = 20.

Thus, the total number of members who would vote against the resolution = 36 + 20 = 56.

Number of members who would vote in favor of the resolution = Total members − Number of members who would vote against the resolution= 60 + 80 − 56 = 84.

Let X be the number of members voting against the resolution. If X follows a binomial distribution with n = 40 and p = 56/140 = 0.4, we can find the probability of the events as follows:

1. The probability of at least 25/40 members voting against the resolution:

P(X ≥ 25) = 1 − P(X < 25)

We can use the binomial distribution table to find the probabilities associated with different values of X.

P(X < 25) = P(X = 0) + P(X = 1) + ... + P(X = 24)

Using the binomial distribution formula, we get:

P(X = k) = (nCk) × pk × (1 − p)n−k, where nCk is the number of ways of choosing k members out of n.

Using the formula, we can calculate the probabilities of P(X < 25) and P(X ≥ 25) as follows:

P(X < 25) = 0.000236 + 0.003226 + 0.020408 + 0.076306 + 0.182424 + 0.291878 + 0.338993 + 0.245031= 0.078858P(X ≥ 25) = 1 − P(X < 25)= 1 − 0.078858= 0.92114

Thus, the probability of at least 25/40 members voting against the resolution is 0.92114

2.The probability of at least 25/40 members voting for the resolution:

P(X ≥ 25) = 1 − P(X < 25)

We can use the binomial distribution table to find the probabilities associated with different values of X.P(X < 25) = P(X = 0) + P(X = 1) + ... + P(X = 24)

Using the binomial distribution formula, we get:

P(X = k) = (nCk) × pk × (1 − p)n−k, where nCk is the number of ways of choosing k members out of n.

Using the formula, we can calculate the probabilities of P(X < 25) and P(X ≥ 25) as follows:

P(X < 25) = 0.000236 + 0.003226 + 0.020408 + 0.076306 + 0.182424 + 0.291878 + 0.338993 + 0.245031= 0.078858

P(X ≥ 25) = 1 − P(X < 25)= 1 − 0.078858= 0.92114

Thus, the probability of at least 25/40 members voting for the resolution is 0.92114.

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The probability that a poker hand from a well-shuffled deck is a flush is 0.00198.

The probability that Anne is bluffing, given that at least one player is bluffing is 1.95.

a) Probability that a poker hand from a well-shuffled deck is a flush:

Consider the following points for a poker hand from a well-shuffled deck is a flush:

There are 4 suits in a deck of cards.

There are 13 denominations in each suit.

When choosing a flush hand, any of the suits can be selected.

Therefore, the probability of choosing a suit is: P(Suit) = 4/4 = 1.

Therefore, the probability of selecting a suit is 1.The first card may be of any denomination. Therefore, the probability of selecting any denomination is 1.

Since all 5 cards must have the same suit, the second card must be of the same suit as the first card. Therefore, the probability of selecting the second card of the same suit is:

P(Same Suit) = 12/51

The third card must also be of the same suit as the first card and second card. Therefore, the probability of selecting the third card of the same suit is:

P(Same Suit) = 11/50

The fourth card must also be of the same suit as the first card, second card, and third card. Therefore, the probability of selecting the fourth card of the same suit is:

P(Same Suit) = 10/49

The fifth card must also be of the same suit as the first card, second card, third card, and fourth card. Therefore, the probability of selecting the fifth card of the same suit is:

P(Same Suit) = 9/48

Multiplying all probabilities together, we have:

P(Suit) × P(Same Suit) × P(Same Suit) × P(Same Suit) × P(Same Suit)= 1 × 12/51 × 11/50 × 10/49 × 9/48= 0.00198

Therefore, the probability that a poker hand from a well-shuffled deck is a flush is 0.00198.

Ans: 0.00198.

b) Probability that Anne is bluffing, given that at least one player is bluffing:

Consider the following points for the probability that Anne is bluffing, given that at least one player is bluffing:

Anne has a 20% chance of bluffing.

Barney has a 30% chance of bluffing.

The two players bluff independently.

P(Anne is bluffing) = 20/100 = 1/5P(Barney is bluffing) = 30/100 = 3/10

Let A be the event that Anne is bluffing and B be the event that Barney is bluffing.

Let C be the event that at least one player is bluffing.

P(C) = 1 - P(none is bluffing) = 1 - (1 - P(Anne is bluffing)) × (1 - P(Barney is bluffing))= 1 - (1 - 1/5) × (1 - 3/10)= 1 - (4/5) × (7/10)= 1 - 28/50= 22/50= 11/25

Now, P(A ∩ C) = P(A) × P(C|A)

Where P(C|A) is the probability that at least one player is bluffing given that Anne is bluffing.= (3/10 + 7/10 × 4/5) / (1 - 4/5)= (3/10 + 28/50) / (1/5)= (15/50 + 28/50) / (1/5)= 43/50 × 5= 215/50

Therefore, P(A|C) = P(A ∩ C) / P(C)= 215/50 × 25/11= 1.95

Therefore, the probability that Anne is bluffing, given that at least one player is bluffing is 1.95. Ans: 1.95.

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Answer:

look below I got it right

Step-by-step explanation:

look carefully, for some people it’s a, for some it’s different so just look and compare to the answers

Answer:

Step-by-step explanation:

3 7 11 15 19 23 27

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

Area of a circle is:

[tex]A_1=\pi r^2[/tex]

Where, r is the radius of the circle.

Area of a square is:

[tex]Area=a^2[/tex]

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

[tex]a=2a[/tex]

So, the area of the square is:

[tex]A_2=(2r)^2[/tex]

[tex]A_2=4r^2[/tex]

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

[tex]A=A_2-A_1[/tex]

[tex]A=4r^2-\pi r^2[/tex]

[tex]A=4r^2-\pi r^2[/tex]

[tex]A=r^2(4-\pi )[/tex]

Therefore, the correct option is (a).

The answers are =

1) False.

2) The closest value to 2.14 would be the appropriate critical T-value for a 95% confidence interval.

1) False.

An investor in the stock market is more likely to prefer a distribution of returns that are right-skewed rather than a normal distribution.

A right-skewed distribution means that there is a higher probability of large positive returns, which is desirable for investors seeking higher profits. In the stock market, there is a phenomenon called "positive skewness," where large gains are more likely than large losses.

Investors typically aim to maximize their returns, and a right-skewed distribution offers the potential for higher returns compared to a normal distribution, which has equal probabilities for gains and losses.

2) The critical T-value for a 95% confidence interval, given a sample size of 15, is closest to 2.14. The critical T-value is determined by the desired confidence level and the degrees of freedom, which is the sample size minus 1. In this case, the sample size is 15, so the degrees of freedom would be 15 - 1 = 14. Looking up the critical T-value in a T-distribution table or using statistical software, the closest value to 2.14 would be the appropriate critical T-value for a 95% confidence interval.

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Answer:

x=10

Step-by-step explanation:

Answer:

I FIGURED IT OUT!

Step-by-step explanation:

a = 3

b = 3

c = 5

d = 2

give me brainliest

Answer:

188

Step-by-step explanation:

10*5*4 - 6*2

The probability that a randomly selected adult female has a pulse rate less than 70 beats per minute is about 0.4371.

a. To find the probability that a randomly selected adult female has a pulse rate less than 70 beats per minute, one have to calculate the z-score and use the standard normal distribution.

The z-score can be calculated as:

z = (x - μ) / σ

where:

x =  the value (70 beats per minute)

μ = the mean (72.0 beats per minute)

σ = the standard deviation (12.5 beats per minute).

So putting it into the formula, it will be:

z = (70 - 72.0) / 12.5

z = -0.16

One can know probability using the z-score.

Check z-score in the standard normal distribution table, and the value will be 0.4371 (rounded to four decimal places).

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Answer:

V= 5224.96

Step-by-step explanation:

To find the volume for a cylinder, you need to use the formula

V=(pi)r^2h.

The question gives is the diameter. The radius is half of the diameter, so you would divide by 2.

16/2 = 8.

Now we plug in the numbers and solve.

V= (pi) 8^2(26)

V= (pi)(64)(26)

V=(pi)(1664)

V= 5224.96

Answer:

Total 100% or 25 students

Swimming 36%  or 9 students

Lacrosse 48%  or 12 students

Volleyball 16% or 4 students

Step-by-step explanation:

To do a circle graph, you draw a circle and divide it into all sections.

To know the size of each section, you need to know the total number of every category.

You could draw it with percent.

100% is total, and you know the percent of each sport.

They told you 12 students choose lacrosse so, this represents 48%.

Now, you can find the other numbers with cross-multiplication.

48%____12

100%____X=

X=(100x12)/48=25

Total students: 25

Students that named lacrosse: 12 or 48%

100%____25

16%____X=

X=(16x25)/100=4

Students that named Volleyball: 4 or 16%

100%____25

36%____X=

X=(36x25)/100=9

Students that named Swimming: 9 or 36%

To confirm: 12 + 9 + 4 = 25

Brainlist Pls!

Answer:

50

Step-by-step explanation:

Answer:

[tex]y=0.01(4)^x[/tex]

Step-by-step explanation:

Answer:

null

Step-by-step explanation:

Answer: 0=53

Step-by-step explanation:

The binary expansion of (badfaced)16 is 10111010111111011010111110101101 2.

In order to convert (badfaced)16 from its hexadecimal expansion to its binary expansion, we need to follow the steps below:

Step 1: Write down the hexadecimal number (badfaced)16

Step 2: Write the binary equivalent of each hexadecimal digit (use the table below)

Step 3: Combine all the binary digits to get the answer

Table showing the binary equivalent of each hexadecimal digit Binary Equivalentb00001011a00001010d00001101f00001111a00001010c00001100e00001110d00001101

Step 2: Writing the binary equivalent of each hexadecimal digit(badfaced)16 = b a d f a c e d

Step 3: Combining all the binary digits to get the answer(badfaced)16 = 10111010111111011010111110101101 2

Thus, the binary expansion of (badfaced)16 is 10111010111111011010111110101101 2.

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The sample size required to estimate the true proportion of jets with the wiring problem with 90% confidence and an error of +4% is approximately 92 (rounded up to the nearest whole number).

To determine the sample size needed to estimate the true proportion of jets with the wiring problem, we can use the formula for sample size calculation for proportions:

n = ([tex]Z^2 * p * q[/tex]) / [tex]E^2[/tex]

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of 1.645)

p = estimated proportion (16/24 = 0.6667)

q = 1 - p

E = maximum error tolerance (4% = 0.04)

Let's calculate the sample size:

p = 0.6667

q = 1 - p = 0.3333

E = 0.04

Z = 1.645

n = ([tex]1.645^2[/tex] * 0.6667 * 0.3333) / [tex]0.04^2[/tex]

n ≈ 91.62

Regarding the decision to conduct further sampling or inspect all the planes, it depends on the context and resources available. If inspecting all the planes is feasible and does not require excessive time or cost, it might be preferred to ensure the safety of all aircraft.

However, if conducting further sampling is a practical and reliable way to estimate the proportion while saving time and resources, the airline might choose to conduct additional sampling.

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The investment choice that carries the greatest price risk is common stocks. (Option-A)

Common stocks are shares of ownership in a company and their price can be very volatile, changing rapidly depending on market conditions and factors affecting the company. Their prices can be influenced by factors such as overall economic conditions, company financial performance, and investor sentiment.

On the other hand, preferred stocks and corporate bonds are typically less risky than common stocks. Preferred stocks are a type of stock that pays a fixed dividend and has a priority claim on company assets in the event of bankruptcy, while corporate bonds are debt instruments that pay a fixed interest rate.

Lastly, government bonds are considered the least risky of all of these investment choices because they are backed by the government, which has a reputation for always repaying its debts.

In summary, while all types of investments carry some level of risk, common stocks have the greatest price risk due to their volatility and sensitivity to changing market conditions.(Option-A)

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