The tickets for an upcoming ballet cost $54 per person. Mrs. Anastos wants to purchase 16 tickets for her friends. What is the total cost of the tickets?
$540
$546
$810
$864
BRAINLYST TO BEST!!!!

Step-by-step explanation:

To find this algebraic phrase, we need to use the rules of algebra to express the given statement in mathematical notation. The given statement says that the sum of three times the opposite of a number and -7 is some unknown value.

We can start by expressing the opposite of a number in mathematical notation. The opposite of a number is equal to the number multiplied by -1. So, we can write the opposite of a number as -x.

Next, we can express the fact that the opposite of a number is being multiplied by 3. To do this, we can simply write 3(-x) to represent three times the opposite of a number.

Finally, we can express the fact that -7 is being added to the result. To do this, we can simply write 3(-x) - 7 to represent the sum of three times the opposite of a number and -7.

Therefore, the algebraic phrase for the sum of three times the opposite of a number and -7 is 3(-x) - 7.

The area of each given square is:

Part A: 1/4 cm²

Part B: 9/47 units²

Part C: 1.89 inches²

Part D: 0.01 meters²

Part E: 12.25 cm²

Area of a square, with side length, s, is: A = s².

Part A:

s = 1/2 cm

Area = (1/2)² = 1/4 cm²

Part B:

s = 3/7 units

Area = (3/7)² = 9/47 units²

Part C:

s = 11/8 inches

Area = (11/8)² = 1.89 inches²

Part D:

s = 0.1 meters

Area = (0.1)² = 0.01 meters²

Part E:

s = 3.5 cm

Area = (3.5)² = 12.25 cm²

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Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side c

Using Pythagoras theorem we have

c² = b² + a²

where

c is the hypotenuse

So we have

\( {c}^{2} = {5}^{2} + {3}^{2} \\ c = \sqrt{ {5}^{2} + {3}^{2} } \\ c = \sqrt{ 25 + 9} \\ c = \sqrt{34} \: \: \: \: \: \: \: \: \\ = 5.83095189...\)

We have the final answer as

Hope this helps you

The cost of water from the store and the cost from the tap will be the same when the number of liters

reaches 7.5 liters.

Let's assume that the cost of buying 'x' liters of water from the store is the same as the cost of buying 'x' liters of water from the tap.

For water from the store, the cost per liter is 3, so the cost of buying 'x' liters of water from the store would be 3x.

For water from the tap, there is a flat rate of 15 plus per liter. So, the cost of buying 'x' liters of water from the tap would be 15 + x.

Now we can set up an equation to find the value of 'x' when the costs are equal:

3x = 15 + x

Simplifying this equation, we get:

2x = 15

x = 7.5

Therefore, the cost from the store and the cost from the tap would be the same at 7.5 liters.

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Answer:127.5

Step-by-step explanation:

15% of 150 = 22.5

150-22.5=127.5

Answer:

Step-by-step explanation:

P(female) × P(fail) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.

We can calculate the probabilities as follows:

Total number of students = 25 + 10 + 20 + 8 = 63

P(female) = Number of females / Total number of students

= 20 / 63

= 0.317

P(fail) = Number of students who failed / Total number of students

= (10 + 8) / 63

= 0.317

P(female and fail) = Number of female students who failed / Total number of students

= 8 / 63

= 0.127

Since P(female) × P(fail) = (0.317) × (0.317) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.

Therefore, based on the calculations, we can conclude that gender and passing the test are dependent events, not independent.

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Answer:

w=120°

x=45°

y=30°

Step-by-step explanation:

AT=PR, AR=PT

Therefore, y=30°

y+45°=x+30°

x=45°

In triangle:

y+30°+w=180°

w=120°

Hope it helps! :)

The given sequence is a geometric sequence with a common ratio of 3.

A geometric sequence is a sequence where the quotient between any pair of consecutive terms is a constant, called the common ratio.

Here we have the sequence:

3, 9, 27, ...

The quotient between the first two terms is:

9/3 = 3

The quotient between the third and second terms is:

27/9 = 3.

So yes, we conclude that this is a geometric sequence, where the common ratio is 3.

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Answer: Parallel

Step-by-step explanation:

if two secanys of a circle are made them they cut off congruent arcs

Answer: y = x^2 - 2x - 8

Step-by-step explanation:

The given numbers are:(10 1010 1010)2 and (1 1111 0001)2To find the sum of two binary numbers, we can add them using binary addition.

Similarly, to find the product of two binary numbers, we can multiply them using binary multiplication.Therefore, using binary addition:1 1 1 1 1 0 0 0 1 0(10 1010 1010)2+ (1 1111 0001)2-------------------1 0 0 1 0 1 1 0 1 1(11 1010 1011)2Therefore, the sum of the given binary numbers is (1 0 0 1 0 1 1 0 1 1)2To find the product of two binary numbers,

we use binary multiplication.(10 1010 1010)2 × (1 1111 0001)2---------------------------(10 1010 1010)2(×) (1) (1 0101 0101 0)2(×) (1 1111 0001)2--------------------------(10 1011 0001 1 0 1 0)2Therefore, the product of the given binary numbers is (10 1011 0001 1 0 1 0)2.Note: To represent the binary number, (10 1011 0001 1 0 1 0)2, it is better to split it into groups of 4 starting from the right side. Therefore, it can be written as (1 0101 1000 1110 1010)2.

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Answer:

-1

Step-by-step explanation:

6 (y - 2) = -18

6y - 12 = -18

6y = -18 + 12

6y = -6

y = -1

The diagonal measurement as √5625 ft, which is approximately 75 feet, the correct answer is B. 75 ft 0 in.

The diagonal measurement of the rectangular slab on grade can be found using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length and width of the slab.

To calculate the diagonal measurement, we can apply the Pythagorean theorem:

Diagonal² = Length² + Width²

Substituting the given values, we have:

Diagonal² = (60 ft 0 in.)² + (45 ft 0 in.)²

Calculating this expression, we find:

Diagonal² = 3600 ft² + 2025 ft²

Diagonal² = 5625 ft²

Taking the square root of both sides, we obtain:

Diagonal = √5625 ft

Diagonal ≈ 75 ft

Therefore, the diagonal measurement of the rectangular slab on grade is approximately 75 feet.

To find the diagonal measurement of the rectangular slab on grade, we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).

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The rate of speed is 54 miles per hour

The difference between two identical objects that are moving at the same time is the distance they cover. You already know that the object moving faster will go longer distances than the one moving slowly, if the time they're given is the same.

If that doesn't make sense, you can think of it as the one moving faster, getting to its destination sooner than the slow one. So, when looking at speed, you'll need to involve the distance traveled and time taken.

Given:

in 4.5 hours= 243 miles

In 3 hours= 162 miles

So, rate of speed

=distance / time

=243/4.5

= 54 miles/ h

and,

rate of speed

=distance / time

=162/3

= 54 miles/ h

Hence, the rate of speed is 54 miles per hour.

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A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer:

SAS Axiom

QP=MN

Angle M = Angle P

NP=MQ

Answer:

See Below.

Step-by-step explanation:

We are given that ∠A = ∠D, and we want to prove that ΔACB ~ ΔDCE.

Statements:                                    Reasons:

\(1) \text{ $\angle A=\angle D$}\)                                    \(\text{Given}\)

\(2) \text{ }\angle BCA=\angle ECD\)                        \(\text{Vertical Angles Are Congruent}\)

\(3) \text{ } \Delta ACB \sim \Delta DCE\)                        \(\text{AA (Angle-Angle) Similarity}\)

\( \angle \: A = \angle D\)

ACB ~ DCE

Given,

\( \bf\angle \: A = \angle D \)

\( \bf \angle \: BCA= \angle \: ECD\)

[ vertical angles ]

\( \therefore \: ACB \sim DCE\)

By AA Criterion of similarity

Answer:

(x - 4)² - 9 = 0

Step-by-step explanation:

x² - 8x + 7 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 7 = 0

(x - 4)² - 9 = 0

Solution

The population of a city is modeled by the function

where y is the population of the city after t years starting in the year 2000

In what year will the population be 5000

Therefore in 32 years time the population will be 5000

Step-by-step explanation:

move all to one side by substraction

m - m + 12 = 0

(m - 4)(m + 3) = 0

m = 4 or m = -3

Answer:

The test statistic value is equal to sample mean minus population mean divided by the standard deviation upon square root of sample size, so that will be equal to (24.4 - 26) / (9.2 / sqrt(25)) = -0.871. The corresponding P-value is 0.1942. The critical value(s) can be found using a t-distribution table with degrees of freedom n-1=24 and a significance level of α = 0.011. The critical value for a left-tailed test is -2.4921. Since the test statistic value (-0.87) is greater than the critical value (-2.492), we fail to reject the null hypothesis that the mean age of the prison population in one city is less than 26 years34. Therefore, there is not enough evidence to claim that the mean age of the prison population in one city is less than 26 years

.

Step-by-step explanation:

Answer:

The vertex form would be  y =  (x+2)^2

The factored form would be y = (x-2)(x-2)

The standard form would be y = x^2-4x+4

Step-by-step explanation:

To find this, you know that the vertex is 2 left from the center, so you have h = -2, and k = 0 since it isnt shifted up. The graph isn't shifted up either, so a=1.

The vertex form would be:  y = a(x-h)^2+k

                                                 =  (x+2)^2

The factored form would be y = (x-2)(x-2)

The standard form would be y = x^2-4x+4

Your welcome, and comment if you have any questions! :D

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that On​ Monday, a museum had 350 visitors while on Tuesday, it had 680 visitors. The percent change in the number of visitors to the museum will then be:

= (680 - 350)/350 × 100

= 330/350 × 100

= 94.29%

The number of people that'll have to visit on Wednesday to have the same estimated percent change will be:

= 680 + (94.29% × 680)

= 680 + (0.9429 × 680)

= 680 + 641

= 1321

The area of the region enclosed by the inner loop of the curve is 4π/3.

The term area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Here we have Given the following values,

r = 4 + 8 sin (θ)

Now, we have to substitute the value of r = 0, then we get

⇒ 0 = 4 + 8 sin (θ)

⇒ 8 sin (θ) = -4

⇒ sin θ = -1/2

⇒ θ = -π/6

Therefore, the limit lies in the interval -π/6 to + π/6

Now, the value of Area of polar region is calculated as,

=> A = ∫

Now, by Substituting the values

A=∫π/6−π/6 (4 + 8 sin (θ)) dθ

When we simplify this one then we get the value as,

=> A = 8 [θ + 1/6 sin6θ]

Apply the limit value, then we get

=> A = 8[(π/6 + 0) - (0 + 0)]

=> A = 4π/3

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Answer:

approx. 68%

Step-by-step explanation:

this is a normal distribution.

in a normal distribution, approximately 68% of the data is within one standard deviation of the mean (we also have 95% of data is within two standard deviations of the mean, and 99.7% of data is within three standard deviations of the mean).

one standard deviation in our question is 113.

315 is one standard deviation below the mean because 428 - 113 = 315.

541 is one standard deviation above the mean because 428 + 113 = 541.

so we expect approx. 68% of the data to be between 315 and 541.

The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

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Answers:

A.

C.

F.

I think that is all of them.

Answer: Its E And A

Step-by-step explanation: