Select the correct answer.
Employees of a venue are setting up for a wedding in a hall that has indoor and patio seating. They are trying to decide how to best arrange the flowers. The bride instructed the employees that she wants some of the aisles to have bouquets of only roses and some of the aisles to have bouquets of only dahlias.
For the indoor area, they have decided that in each rose-only aisle, there will be 4 less bouquets of roses than there are roses in each bouquet. There will be 6 rose aisles and one aisle with 2 bouquets of dahlias.
The patio seating area will have one aisle with 4 bouquets of roses and one aisle with 8 bouquets of dahlias.
They plan on using 100 total flowers for the indoor aisles and 132 total flowers for the patio aisles. They want to apply these numbers to determine how many flowers will go in the bouquets if all of the bouquets have an equal number of flowers.
Create a system of equations to model the situation, and use it to determine how many of the solutions are viable.

A. There are 2 solutions, and both are viable.
B. There is 1 solution, but it is not viable.
C. There is 1 solution, and it is viable.
D. There are 2 solutions, but only 1 is viable.

x = 114.

Hope this helps!!

Answer:

The semi-circles form an entire circle with a diameter of 74.

The radius is 37

The area of the rectangle is 95 x 74 = 7030

The area of the circle is 3.142 x 37*37 = 4298.66

The total area is 11328.66

Answer:

the answer is b: (6,0) and (0,-9)

Answer:

The wall is 40 feet wide.

Step-by-step explanation:

92.8 / 0.29 = 320 square feet

320 / 8 = 40 feet

Answer:

The slope is -1/9

Step-by-step explanation:

There are endless possibilities of equations, but if slope is what you're asking for, the slope of a line perpendicular to another is its opposite reciprocal, which is basically the number that when multiplied to the other slope is equivalent to -1. 9 * (-1/9) is -1, which means that it is the opposite reciprocal.

Answer: The slope is -1/9, there are endless amounts of equations that are perpendicular to the line, but the thing that they all have in common is a slope of -1/9.

In data analytics, a population refers to all possible data values in a certain dataset.

Data analytics is a set of procedures and processes for examining datasets in order to draw conclusions from the information they contain, often aided by specialized systems and software. Organizations use data analytics to aid decision-making, increase efficiency, and evaluate outcomes.

The population and sample are two concepts in statistics. The population and sample are two concepts in statistics. The population is the entire set of objects or individuals being studied, while the sample is a subset of the population that is chosen for analysis. The sample is a subset of the population, chosen at random or according to some other criteria in order to represent the population as a whole.

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The domain of the function :f(x)=x^2-11x-10 is expressed as D = (-∞, ∞)

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The domain of a function is the value of the input 'x' for which the given function exists here.

Given the function f(x)= x^2-11x-10

Therefore, the domain of the function exists on all real numbers.

Which is the function will exist for any given value of x.

Hence, the domain of the function is D = (-∞, ∞)

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Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

First transformation: Reflection across the y-axis

Second transformation: Vertical translation down by 12 units.

A coordinate is a value that specifies the position of a point in a particular system or framework of reference. Coordinates are typically expressed as numerical values that describe the location of a point in relation to some predefined origin, axis, or set of reference points. The most common type of coordinate system is the Cartesian coordinate system, which uses two or three axes to describe points in a plane or in three-dimensional space, respectively. In this system, coordinates are typically expressed as ordered pairs (for two-dimensional points) or ordered triplets (for three-dimensional points), such as (x, y) or (x, y, z), where x, y, and z represent the distances along each axis from the origin. Other types of coordinate systems include polar coordinates, cylindrical coordinates, and spherical coordinates, which are used in various branches of mathematics and science to describe points in different contexts.

To find the two transformations, we can use the fact that applying multiple transformations to a figure is the same as applying a single transformation that is the composition of the individual transformations.

Let's start with the final vertices of the transformed figure: (-2,0), (2, 0), (2,-6), and (0,-2).

We can see that the first two vertices have the same x-coordinate and are located on the x-axis. This suggests a reflection across the y-axis, which would swap the x-coordinates of the vertices.

So, the first transformation is a reflection across the y-axis.

After this transformation, the transformed figure has vertices (-WXYZ).

Next, we need to find the second transformation that maps WXYZ to (-WXYZ) with the given final vertices.

We can see that the vertex (2,-6) has a lower y-coordinate than the other three vertices. This suggests a vertical translation that moves this vertex down to its final position.

To determine the amount of vertical translation, we can subtract the y-coordinate of the vertex in its initial position (6) from the y-coordinate of the vertex in its final position (-6), which gives a total downward movement of 12 units.

So, the second transformation is a vertical translation down by 12 units.

Therefore, the two transformations that Nelson applies to WXYZ are a reflection across the y-axis followed by a vertical translation down by 12 units.

First transformation: Reflection across the y-axis

Second transformation: Vertical translation down by 12 units.

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Answer:

y-2=3(x-2)

Step-by-step explanation:

point slope form:

y-y₁=m(x-x₁)

y-2=3(x-2)

Answer:

B=4

x=0 or x=  4/7

c= -5

Step-by-step explanation:

Answer:

b = 4

x = 1.75

c =2+i√101 7 ,  2 − i √101 7

Step-by-step explanation:

Answer:

55.9%

Step-by-step explanation:

To find the percentage of girls in the class, we can use the following formula:

Percentage = (Number of girls / Total number of students) * 100

Number of girls = 19

Total number of students = 34

Percentage = (19 / 34) * 100

                   = 55.88235 % ≈ 55.9 % ( rounded off to one decimal place)

Answer:

5/6

Step-by-step explanation:

82% into decimal is 0.82

while 5/6 is 0.83

according to the number line system, 0.83 is greater than 0.82.

Answer:

Example: Suppose you give $100 to a bank which pays you 10% compound interest at the end of every year. After one year you will have $100 + 10% = $110, and after two years you will have $110 + 10% = $121.

compound interest image

Problem:

If you deposit $4500 into an account paying 7% annual interest compounded semi anualy , how much money will be in the account after 9 years?

Result:

The amount is $8358.7 and the interest is $3858.7.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

After plugging the given information we have

STEP 2: To find interest we use formula , since 8358.7  P =  we have:

3858.7

Step-by-step explanation:

Answer:

3.71140109 × 10-26 s7 A4 / m3

Step-by-step explanation:

Answer:

24.22

Step-by-step explanation:

simple addition right lol

Answer:

24.22

Step-by-step explanation:

!!!!!!!!!!!

1 - 20, 21 - 40, 41 - 60, 1.1, 2.2, 3.3, 4.4, 5.5

Answer:

hi

Step-by-step explanation:

A + A(8%) = A(1.08) matches the amount Jess owes Julie from borrowing A with 8% interest .

Let the amount Jess owes Julie = A

The interest rate on amount is 8%

Total amount to be paid = The amount taken + 8% on the amount taken

Total amount to be paid = A + 8% of A

Total amount to be paid = A + 0.08A

Total amount to be paid = 1.08A

Hence the correct situation which matches the equation A + A(8%) = A(1.08) is the amount Jess owes Julie from borrowing A with 8% interest .

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Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.

He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.

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Answer:

z = 53

Step-by-step explanation:

Comment

The three angles of any triangle add up  to 180o. There are no exceptions to this rule.

Formula

2z + z - 15 + 36 = 180                Combine like terms on the left.

Solution

3z + 21 = 180                              Subtract  21 from both sides

3z + 21 - 21 = 180 - 21                Combine

3z = 159                                      Divide both sides by 3

z = 53

Answer:

Your answer is:

(x+2)^2

Factor x2+4x+4

x2+4x+4

The middle number is 4 and the last number is 4.

Add together to get 4

Multiply together to get 4

2+2 = 4

2*2 = 4

(x+2)(x+2) or (x+2)^2

The probbaility that the sample conatins at least one green ball is 0.90.

Let E be the event that denotes that the sample conatins at least one green.

According to the given question.

Total number of balls in an urn = 11 + 5 = 16

Total number of white balls = 11

Total number so green balls = 5

Now, the number of ways of selecting 7 balls from 16 balls

= \(^{16} C_{7}\)

= 16!/(7!9!)

= 11440

And the total number of ways of selecting 7 balls which contain atleast on green ball = \(^{11} C_{6} \times \ ^{5} C_{1} + ^{11} C_{5} \times \ ^{5} C_{2} + ^{11} C_{4} \times \ ^{5} C_{3} +^{11} C_{3} \times \ ^{4} C_{4}+^{11} C_{2} \times \ ^{5} C_{5}\)

= \(\frac{11!}{6!5!} \times \frac{5!}{1!4!} +\frac{5!}{2!3!} \times\frac{11!}{5!6!} +\frac{11!}{7!4!} \times\frac{5!}{3!2!} +\frac{11!}{8!3!} \times\frac{4!}{4!0!} +\frac{11!}{9!2!} \times\frac{5!}{0!5!}\)

= 452 × 5 + 10 × 452 + 330 × 10 + 165×1 + 55 ×1

= 2260 +  4520 +3300 + 165 + 55

= 10300

Thereofore, the probability that the sample conatins at least one green ball is given by

P(E) = (total number of ways of selecting 7 balls which contain atleast on green ball) / (the number of ways of selecting 7 balls from 16 balls )

⇒ P(E) = 10300/11440

⇒ P(E) = 0.90

Hence, the probbaility that the sample conatins at least one green ball is 0.90.

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The assumptions of an ANOVA (Analysis of Variance) include:

1. Independence: The observations within and between groups must be independent of each other, meaning the outcome of one observation should not influence the outcome of another.
2. Same or similar variance: The variances of the populations from which the samples are drawn should be approximately equal. This is also known as homogeneity of variance or homoscedasticity.
The options "at least 5 in each group" and "at least 10 in each group" are not assumptions of ANOVA. However, having an adequate sample size in each group is essential for the validity and power of the statistical test, but there is no specific requirement of 5 or 10 in each group. It is generally recommended to have a balanced design, with equal or nearly equal sample sizes across all groups.

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Answer:

The greatest number is 18.

Step-by-step explanation:

consecutive: following one after the other

48 ÷ 3 = 16

16 would be the middle number

14 : 16 : 18

14 = smallest number

16 = middle number

18 = biggest number

14 + 16 + 18 = 48

The correct options regarding the distributions are given as follows:

A. Super Bright and Pretty Bright light bulbs cannot possibly have the same mean light bulb life.

B. The interquartile range of light bulb life for Delightful Bright is greater than the interquartile range for Pretty Bright.

D. Super Bright light bulbs have the smallest standard deviation for light bulb life among the three types of bulbs.

The mean of a distribution is given by the sum of all observations divided by the number of observations.

For the Super Bright light builds, the mean is given as follows:

Ms = 20 x 1500/20 = 1,500 hours.

For the Pretty Bright lights, the minimum mean is given as follows:

Mp = (16 + 19 x 1900)/20 = 1,805.8 hours

This mean is greater than 1,5000 hours, hence option A is correct.

The interquartile range (IQR) of a distribution is given by the difference between the third quartile and the first quartile of a distribution.

For each distribution, the IQR is given as follows:

The delighful bright distribution has a constant increase of 50 in the duration of each bulb, hence the distribution is symmetric around the mean and option c is incorrect.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean.

Since the Super Bright measures are all equal, their standard deviation has the lowest possible value, and option D is correct.

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By working with the given linear equation we will see that:

a) n = (d + 2)/4

b)

Here we have the linear equation:

d = 4n - 2

We want to solve it for n, it means that we need to isolate n in one side of the equation.

If we first add 2 in both sides of the equation, and then we divide both sides by 4, we will get:

d + 2 = 4n

(d + 2)/4 = n

That is the equation solved for n.

b) The penny size is d, and n is the length of the nail, then:

if d = 3, we have:

n = (3 + 2)/4 = 5/4

if d = 6, then:

n = (6 + 2)/4 = 2

if d = 10, then:

n = (10 + 2)/4 = 3

Thus:

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Answer and Step-by-step explanation:

The length of the rectangle is 3 + w (w represents the width).

The polynomial representing the area of the rectangle:

a (area) = w(3 + w) = w^2 + 3w

A)

a = 1

b = 2

c = 3

d = 1

B)

w = 4

(4)^2 + 3(4) = 8 + 12 = 20

e = 20

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I hope this helps!

The bond yield that comes closest to 7.75%, the  amount yield to maturity on an annual-pay bond, is 7.61%.

A. The bond yield that comes closest to 7.75%, the yield to maturity on an annual-pay bond, is 7.61%. A measure of return that considers the market parameters used to determine the return from an investment in a bond is called the bond-equivalent yield. It accounts for the time value of money, the coupon rate, and the current market rate to determine the yearly rate of return that would be generated if the bond were kept for a year. When comparing bonds with differing coupon rates and maturities, the bond-equivalent yield is utilised. It is a helpful tool for investors who want to compare various bonds and decide on their investments with knowledge.

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