Solve Using substitution
-8x + 6y =8
x = -7

b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.

a) The system of linear equations representing the situation is:

r + l + i = 15 (total flowers in one centerpiece)

r = 2(l + i) (twice as many roses as irises and lilies combined)

10(2.50r + 4l + 2i) = 370 (total budget)'

Matrix equation: AX = B, where

A = [[1, 1, 1], [2, -1, -1], [25, 40, 20]],

X = [[r], [l], [i]], and

B = [[15], [0], [370]]

b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.

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The Complete Question:

A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $370 allocated for the centerpieces and wants each centerpiece to contain 15 flowers, with twice as many roses as the number of irises and lilies combined. (Let r represent the number of roses, l represent the number of lilies, and i represent the number of irises.)

a) Write a system of linear equations that represents the situation. Then write a matrix equation that corresponds to your system.

b) Find the number of flowers of each type that the florist can use to create the 10 centerpieces.

Answer:

x = 19

Step-by-step explanation:

See attched image.

Answer: b2 should be 5 i believe

Step-by-step explanation:

Answer:

B∨2 = 5

Step-by-step explanation:

Hope this helps!

Answer: 40 square yards

Step-by-step explanation: hope this helped! :)

Answer: If you look at the x axis 1 is less than $1 so if you follow the x axis to the right until you find a number of minutes that meets the y axis of $1 so x4, y1 that means  $.25 per minute if you divide 1 by 4. So 1 is the correct answer.

Step-by-step explanation:

1. Follow the x axis until the x and y axis meet. This is $1.00 on the y axis.

2. Then you would divide 1 by 4 and you get .25. Each minute would be $.25.

Answer:

-11

Step-by-step explanation:

6x - 1 = -67

6x = -67 + 1

6x = -66

x = -66 ÷ 6

x = -11

The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.

Given,

In the question:

Your grandmother is 87 years old and she has remarked to you that nearly all of her friends are women. She told you that it is rare to see a man older than age 85. She is correct because, after age 85, for every 100 men, there are __________.

Now, According to the question:

Your grandmother is 87 years old and she told you that all of her friends are women. There is no single man in her circle of friends. She also told that it is rare to see a man over the age of 85. It is because of the fact that women are more in number than man above the age of 85 and this ratio is like 100 men per 200 women, which means the chances of getting a male friend is almost half after the age of 85. So women are more in number than men.

Hence, The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.

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Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: \(\frac{4}{9}\)

Switch: the division sign to multiplication.

Flip Flip the numbers of \(\frac{2}{1}\), or find it's reciprocal. \(\frac{1}{2}\) turns into \(\frac{2}{1}\).

Now, your problem looks like this:

\(\frac{4}{9}\) * \(\frac{2}{1}\) (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: \(\frac{8}{9}\) should be the second blank.

It take 43 seconds to the object to travel the full length.

Constant rate refers to a fixed rate of change over a specific period of time. It can be used to describe a variety of situations such as the rate of population growth, the rate of inflation, or the rate of decline in a company's profits.

Constant rate can be used to measure a variety of factors in order to track progress or gauge the success of a particular strategy.

This question uses the concept of constant rate.

Constant rate means that the marble is travelling at a constant speed over the entire length of the path.

This means that the time it takes to travel the full length is the same as the time it took to travel a certain portion of the path.

In this case, it took 43 seconds to travel a certain portion of the path, so it will take 43 seconds to travel the full length.

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Answer:  62% as a fraction in the simplest form would be 31/50.

84²

it is like saying 84×84

so

84×84=7,056

so our answer is

= 7,056

Answer:

x = \(\frac{17}{5}\)

Step-by-step explanation:

(8x - 12) = (3x + 5) ← remove parenthesis

8x - 12 = 3x + 5 ( subtract 3x from both sides )

5x - 12 = 5 ( add 12 to both sides )

5x = 17 ( divide both sides by 5 )

x = \(\frac{17}{5}\)

or x = 3.4 ( in decimal form )

Answer:

the graph that represents a function is B

Step-by-step explanation:

if you look at B it is facing from-to +, which means that question B is a function

Answer:

An odd number times an even number is always even

e.g 2 × 3 = 6

4 × 5 = 20

adding 1 to an even number makes it odd

6 + 1 = 7

20 + 1 = 21

hope this helps...

Answer:

P is an odd number

Q is an even number

Now, product of a odd number and even number is always even number.

Therefore, P×Q is a even number

Now, by adding 1 to the even number it becomes odd.

Hence, P×Q+1 is always an odd number.

=======================================================

Explanation:

From the table, we see that g(1) = 0

Locate x = 1 in the first row. Then look straight down to see 0 in the g(x) row. That's why g(1) = 0.

This means f( g(1) ) = f( 0 ). I simply replaced g(1) with 0.

The last step is to evaluate f(0).

Locate 0 in the x row. Then look down to see 5 below it. Therefore, f(0) = 5.

Ultimately, f( g(1) ) = f(0) = 5

------------

In short: the input x = 1 leads to g(x) = 0. Then x = 0 is the input for f(x) which leads to 5.

Answer:

4 loaves of bread

Step-by-step explanation:

Cost of 1 loaf of bread = $3

Cost of 1 roll = $1

The baker needs to sell both items and it should be worth $24.

To find the linear equation,

Suppose, the baker sells

x

loaves of bread and

y

rolls.

Then the total cost of the sales has to be $24.

So, the linear equation will be:

3

x

+

1

y

=

24

.......................(A)

Now, it is given that the baker sold 12 rolls and we need to know how many loaves he has to sell.

For that, replace the

y

in equation (A) with 12 as

y

represents number of rolls sold.

Then the new equation becomes:

3

x

+

1

×

12

=

24

0r

3

x

=

24

−

12

or

3

x

=

12

Solving for

x

,

x

=

12

3

=

4

loaves

Answer:

C. 2 -9

4 -6

6 -3

Step-by-step explanation:

Answer:c

Step-by-step explanation:

If you wanted to determine if your PSYC210 class performed significantly better than another section on a stats knowledge test, you would use a hypothesis test, specifically a two-sample t-test.

A hypothesis test is a statistical method used to determine whether there is a significant difference between two groups or populations based on their observed data. In this case, you would compare the mean score of your PSYC210 class on the stats knowledge test with the mean score of the other section using a two-sample t-test. The null hypothesis would be that there is no significant difference between the means of the two sections, and the alternative hypothesis would be that there is a significant difference.

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Walt Disney holds the record for the most Academy Award nominations with 59 nods, while Edith Head holds the second-most with 52 nominations.

Walt Disney is considered to be one of the greatest animators and film producers in the world. He received a total of 59 Oscar nods and is the record holder for the most Academy Award nominations of all time. This great achievement was attained from a career that spanned over four decades.

Disney's work had a tremendous impact on the American film industry. He is known for pioneering new techniques in the animation industry, which helped to create some of the most memorable and beloved characters of all time. These characters include Mickey Mouse, Donald Duck, and many others.

The second-most Oscar nominations belong to Edith Head, who received 52 nods during her career as a costume designer. She was known for her work in Hollywood's Golden Age, which spanned from the 1920s to the 1960s. Her collaborations with famous filmmakers such as Alfred Hitchcock, Cecil B. DeMille, and others earned her a well-deserved reputation as one of the most respected and talented costume designers in the industry.

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Answer:

has two rays that share a common endpoint

Step-by-step explanation:

An angle is formed by a two rays that share a common endpoint.  The distance between the two rays is what makes the measure of the angle wider or smaller.  Each ray extends in one direction forever; however since they share an endpoint, the rays do not extend in both directions forever.  There is only one endpoint, not two, and there is only one center point (vertex), not two.

I hope this helps you :)

-KeairaDickson

Answer:

D

Step-by-step explanation:

An angle is two rays joined by a point or endpoint.  

A. is intersecting lines

B. is a line

C. Makes no sense

Start with 15.1 row:

For 15.1, the observed is shown on the table. It's 65.

The predicted can be found by using the formula in the problem.

y=3.7x + 13.38

y= 3.7(15.1) + 13.38

y= 69.25. That's the predicted.

The residual for each observation is the difference between predicted values of y (dependent variable) and observed values of y.

So predicted was 69.25. Observed is 65.

69.25-65 = 4.25. That's your residual.

17.9 row:

Now let's do 17.9. Look at observed on the table. It's 75.

The predicted can be found by using the formula in the problem.

y=3.7x + 13.38

y=3.7(17.9) + 13.38

y = 79.61. That's the predicted.

Residual is predicted - observed.

79.61 - 75 = 4.61.  That's your residual.

Answer:

Una relación lineal es de la forma:

y = a*x + b.

donde a es la pendiente y b es la ordenada al origen.

en este caso, y es el precio de la camioneta, x es el numero de años que pasaron, a es la razon de depreciación de la camioneta y b es el precio inicial de la camioneta, b = $42,000.

Sabemos que después de 5 años, el precio de la camioneta es 21,000, entonces podemos resolver:

$21,000 = a*5 + $42,000

a*5 = $21,000 - $42,000 = -$21,000

a = -$21,000/5 = -$4,200

Esto significa que el precio decae $4,200 por año

El valor de depreciación de la camioneta es de $4200 por año.

Dado que Juana compró una camioneta 4x4 a $42 000; y además, sabe que la camioneta se depreciará (bajará su precio) en forma lineal durante 6 años, para determinar, si al quinto año la camioneta tendrá un valor de $21 000, cuál es el valor de la depreciación de la camioneta, se debe realizar el siguiente cálculo:

Por lo tanto, el valor de depreciación de la camioneta es de $4200 por año.

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Generate categorical variables from continuous data by defining categories and assigning values, but you cannot obtain continuous data from categorical variables due to the loss of precision during the conversion process.

The reason why it is possible to generate categorical variables from continuous data, but not possible to obtain continuous data from categorical variables is due to the inherent nature of each type of variable.
To generate categorical variables from continuous data, you can follow these steps:
1. Define categories or groups based on a specific criterion. For example, dividing people into "short", "medium", and "tall" based on their heights.
2. Assign the continuous data values to the appropriate categories based on the defined criterion. For example, people with height less than 5 feet are considered "short", between 5 and 6 feet as "medium", and above 6 feet as "tall".
However, obtaining continuous data from categorical variables is not possible because categorical data does not have the same level of precision or granularity as continuous data. For instance, if you only know that someone is "tall," you cannot determine their exact height, as the information is lost when converting continuous data to categorical data.

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Answer:

Here, I attached a graph of the two equations! :)

The solution is (-6, 3)

Hope this helps!! :)

Answer:

there are several answers to this question. For instances *( EATING OUT: Have you ever gone out to eat with a group of friends but the waitress brings only one check? To divide up the bill, you’ll need to use fractions. )* *( SPORTS: The NBA Finals are on. Fractions are used to determine statistics and shooting percentages. )*

Step-by-step explanation:

To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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The range of the function g(x) is [300, ∞)

In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.

The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.

We need to find the range of the function.

Since a savings account earns interest annually, x can have take values from 0 to infinity.

For x = 0 year,

g(0) = 300(1.04)^0

g = 300 * 1

g = 300

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function g(x) is [300, ∞)

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Answer: uihnjnijnjjnjuuuuuu890999999999

Step-by-step explanation: 977789gbj

Part A: The likelihood that a chosen egg will hatch in less than 18 days:

Part B: The likelihood chosen egg longer than 20 days; 15.87%.

You can apply the z-test since you are aware of the population standard deviation and that the population has a normal distribution.

Part A: The likelihood that a randomly chosen egg will hatch in less than 18 days:

Create your test statistic by using:

P(< 18 days)

z< (x-μ)/σ

z < (18-19)/1

z<-1

This equates to p = 0.1587 to use a probability table (note that this is one-sided).

Part B:  The likelihood that a randomly chosen egg would take longer than 20 days to hatch;

Develop your test statistic by:

P(> 20 days)

z > (20-19)/1

z<1

This equates to p = 0.1587 to use a probability table (note that this is one-sided).

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The correct question is-

The mean incubation time for a type of fertilized egg is 19 days.  Suppose the incubation times are approximately normally distrubuted with a standard deviation of 1 day.

A. What is the probability a randoly selected egg hatches in less than 18 days

B. What is the probability a randomly selected egg hatches takes over 20 days