Find the difference of the two expressions (1/2x+2) - (2/3x-6)

Answer:

I think the answer is A

Step-by-step explanation:

IHope it helps

The percentage decrease in the number of employees would be near around 18%.

What is the percentage decrease?

The difference between the starting and ending values is expressed as a percentage decrease. It displays a percentage loss of value from the original, regardless of unit. The decrease is equal to the original amount minus the final amount.

Percentage Decrease=(Starting Value−Final Value) / |Starting Value|×100

Given data:

The initial number of employees = 116

The final number of employees = 95

Percentage decrease = \(\frac{116-95}{116}*100\\\)

                                     = 18.1034% decrease

                                     ≈ 18% decrease

Hence, the percentage decrease in the number of employees would be near around 18%.

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Answer:

Priya practiced for: 75 x 152% = 114 minutes or 1 hour and 54 minutes

Hope this helps!

A sample that does not represent the entire group of interest is called a biased sample.

A biased sample is a sample that doesn't reflect the real-world population it is supposed to represent. It happens when the sample is chosen in such a way that some members of the population are less likely to be included than others.

Therefore, a biased sample may not be an accurate representation of the entire population.

For example, if a researcher wants to know how many people in a given area have access to the internet and chooses a sample of people from a high-income neighborhood, the results may be biased because people from low-income areas may have lower rates of internet access.

A biased sample can lead to inaccurate conclusions, and therefore, it's important to ensure that the sample is representative of the population. A random sample, on the other hand, ensures that all members of the population have an equal chance of being included in the sample.

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Answer:

8

Step-by-step explanation:

mark brainlist :)

Answer:

Hence for a patio with Dimension

Length=12.5 feet

Width=9.5 feet

2.4 bags of concrete mix  is needed

Step-by-step explanation:

The question is not complete, there is not attachment showing the dimension of the patio

Say the dimension of the patio is

Length=12.5 feet

Width=9.5 feet

Area= Length* Width

Area= 12.5*9.5

Area= 118.75 square feet

One bag of concrete mix will cover 50 square feet

Hence x bags will cover  118.75 square feet

cross multiply

50x= 118.75*1

x= 118.75/50

x= 2.4 bags

Answer:

45.23

Step-by-step explanation:

Answer:

25.66+13.20+6.36=45.22

Step-by-step explanation:

Answer:

y=72

Step-by-step explanation:

y varies jointly as x and z

y=k*x*z

Where,

k= constant of proportionality

y=144, x=6, z=10

y=k*x*z

144=k*6*10

144=60k

Divide both sides by 60

144/60=k

2 24/60=k

2 6/15=k

2 2/5=k

k=12/5

Find y when x=5 and z=6

y=k*x*z

y=12/5*5*6

=360/5

=72

y=72

Arlene's marginal tax rate is 15%, which results in a tax liability of $2,675 on her additional income of $5,000. She will have a total tax liability of $2,675 if she accepts the special project.

Arlene's taxable income is currently $19,000 and her tax liability is $2,075. If she accepts the special project, her income will increase by $5,000 to $24,000. Her tax liability will be calculated by multiplying her new income amount ($24,000) by her marginal tax rate (15%). This results in a tax liability of $3,600. However, she is already liable for the $2,075 in taxes on her initial income of $19,000, so her total tax liability with the additional income of $5,000 will be $2,675 ($3,600 - $2,075).

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Christy and Adam spent a total of $30.749 at Walmart.

To calculate the total amount spent, we need to determine the individual costs of each item and then sum them up.

1. The pack of chicken is priced at $12.97.

2. The gallon of milk costs $4.97.

3. They bought 4 bags of chips for a deal of 2 for $5.00. This means each bag costs $5.00 / 2 = $2.50. So, the total cost of 4 bags of chips is 4 * $2.50 = $10.00.

4. They purchased 10 Sam's Choice 2-liter drinks for $0.67 each. The total cost of these drinks is 10 * $0.67 = $6.70.

So far, the total cost without considering any discounts is:

$12.97 (chicken) + $4.97 (milk) + $10.00 (chips) + $6.70 (drinks) = $34.64.

However, there was a 30% discount on the pack of chicken. To calculate the discounted price, we need to find 30% of $12.97, which is (30/100) * $12.97 = $3.891.

The discounted price of the pack of chicken is $12.97 - $3.891 = $9.079.

Therefore, the final total amount spent is:

$9.079 (discounted chicken) + $4.97 (milk) + $10.00 (chips) + $6.70 (drinks) = $30.749.

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Null hypothesis: the mean entry-level salary of an employee and is not significantly less than that of professionals in the company.

Alternative hypothesis: the mean entry-level salary of an employee is significantly less than that of professionals in the company.

A hypothesis in a study is a statement that is made to explain a given observation without prior testing to prove or disprove the statement.

The two types of hypothesis are:

The null hypothesis states that there is no significant difference between two variables while the alternative hypothesis states that there is a significant difference between the variables.

For the given observation:

Null hypothesis: the mean entry-level salary of an employee and is not significantly less than that of professionals in the company.

Alternative hypothesis: the mean entry-level salary of an employee is significantly less than that of professionals in the company.

In conclusion, the null hypothesis is the hypothesis of no significant difference.

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The system has at least one solution, and the solutions can be represented by the expressions x₁ = -3r - 4s, x₂ = -5r + 2s, and x₃ = 3r + 2s - 5, where r and s are parameters.

The given reduced row-echelon form of the augmented matrix represents a system of linear equations with variables x₁, x₂, x₃, x₄, and x₅. The system can be written as:

x₁ + 3x₄ + 4x₅ = 0   (Equation 1)

x₂ + 5x₄ - 2x₅ = 0   (Equation 2)

x₃ - 3x₄ - 2x₅ = -5  (Equation 3)

0 = 0               (Equation 4)

Equation 4, 0 = 0, is a trivial equation and does not provide any additional information. We can ignore it.

To express the solutions, we can solve Equations 1, 2, and 3 in terms of the parameters r, s, and t. Let's rename the parameters as follows: r = x₄, s = x₅.

From Equation 1: x₁ = -3x₄ - 4x₅ = -3r - 4s

From Equation 2: x₂ = -5x₄ + 2x₅ = -5r + 2s

From Equation 3: x₃ = 3x₄ + 2x₅ - 5 = 3r + 2s - 5

Therefore, the solutions for the system can be expressed using the parameters r, s, and t as follows:

x₁ = -3r - 4s

x₂ = -5r + 2s

x₃ = 3r + 2s - 5

Since the parameters r and s can take any real values, the system has infinitely many solutions. We can represent the solutions using the parameters r, s, and t.

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Answer:

3,-2,-7,-12,-17,-22

when going up add, when going down subtract.

Example: -2+5=3

-17-5=-22

Answer:

55

Step-by-step explanation:

First, we need to divide 44 by 8 to find what to times 10 by.

44/8= 5.5.

After, we need to times 10 by 5.5 to get the answer

5.5x10=55

Answer: She can plant 55 plants within 44 feet.

Step-by-step explanation:

First; We must divide 8 by 44 receiving the result 5.5

( 8 ÷ 44 = 5.5 )

Second; We must multiply 5.5 with 10, giving the final result of 55.

( 5.5 x 10 = 55 )

Answer:

Great tip

READ THE TEXTBOOK

Three cards are randomly drawn from a standard deck. The probability it will be 7, 7, and face cards subsequently is 0.0011

The formula for the conditional probability is given by:

P(A∩B) = P(A|B) . P(B)

Where:

P(A∩B) = probability of A and B occur

P(A|B) = Probability of A occurs if B occurs

P(B) = probability of B occurs

In the given problem, the standard deck has 52 cards. Three cards are drawn subsequently from the deck.

1st draw:

There are 4 cards in the deck with number 7, hence:

P(7) = 4/52 = 1/13

2nd draw:

The remaining cards now = 51.

Suppose the first card is 7, then the probability the 2nd card is also 7 is:

P(7 | 7) = 3/51 = 1/17

3rd draw:

Suppose the first and the second cards are 7.

Number of face cards = 3 x 4 = 12

remaining cards = 50.

Hence,

P(face |(7|7)) = 12/50 = 6/25

Finally,

P(7,7,face) = 1/13 x 1/17 x 6/25 =  6/5525 = 0.0011

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Answer:

A

Step-by-step explanation:

they all ran the 1/2 mile

Answer:

A 1/2

Step-by-step explanation:

The coefficients a, b, c, and d are to be determined to ensure that the equation y = ax³ + bx² + cx + d passes through the points (0,10), (1,7), (3,-11), and (4,-14).

Given points are (0,10),(1,7),(3,-11) and (4,-14). The equation is y=ax³+bx²+cx+d which will pass through the given points. We can use four linear equations to solve for coefficients a, b, c and d.  
The linear equations will be:  
Equation 1: 10 = a(0)³+b(0)²+c(0)+d  
Equation 2: 7 = a(1)³+b(1)²+c(1)+d  
Equation 3: -11 = a(3)³+b(3)²+c(3)+d  
Equation 4: -14 = a(4)³+b(4)²+c(4)+d  

On solving these linear equations, we will get the values of a, b, c, and d. Let's write these equations.  
Equation 1 becomes: d = 10  
Equation 2 becomes: a + b + c + d = 7  ...(i)  
Equation 3 becomes: 27a + 9b + 3c + d = -11  ...(ii)  
Equation 4 becomes: 64a + 16b + 4c + d = -14  ...(iii)  

From equation 1, we know that d = 10.  
Putting d = 10 in equation (i), we get:  
a + b + c + 10 = 7  
a + b + c = -3  ...(iv)  
Putting d = 10 in equation (ii), we get:  
27a + 9b + 3c + 10 = -11  
27a + 9b + 3c = -21  
9a + 3b + c = -7  ...(v)  
Putting d = 10 in equation (iii), we get:  
64a + 16b + 4c + 10 = -14  
64a + 16b + 4c = -24  
16a + 4b + c = -6  ...(vi)  

Now, solving equations (iv), (v), and (vi) to find the values of a, b, and c.  
On subtracting equation (iv) from (v), we get:  
8a + 2b = -4  
4a + b = -2  ...(vii)  
On subtracting equation (v) from (vi), we get:  
7a + b = -1  ...(viii)  
On solving equations (vii) and (viii), we get:  
a = -1  
b = -2  
c = 3  

Therefore, the coefficients of the equation y = ax³ + bx² + cx + d that passes through the points (0,10),(1,7),(3,-11), and (4,-14) are a = -1, b = -2, c = 3, and d = 10.

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Answer:

672

Step-by-step explanation:

We are given that there are a total of 8 Pizza Huts and they sold a total of 5,376 pizzas.  We are asked to find how many pizzas each store sold, so we divide:

5376/8

=672

Each Pizza Hut sold 672 pizzas.

Hope this helps! :)

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Hey there,

Solve the equation:

4x - 5 = 2 - x

4x - 5 = -x + 2

4x - 5 + 5 = -x + 2 + 5

4x = -x + 7

4x + x = -x + 7 + x

5x = 7

x = 7/5 = 1,4

✅;)

Answer:

4x-5=2-x

Place all x terms on one side

4x-5=2 (+x to equation on the left)

5x-5=2

5x (+5 to equation on the right) =2

5x=7

(÷5 to get x on its own) x=7

x=1.4

Time left In an experiment of rolling a die two times, the probability of having sum at most 5 is The probability is approximately 0.3056 or 30.56%.

To calculate the probability of obtaining a sum at most 5 when rolling a die two times, we can consider all the possible outcomes and count the favorable ones.

Let's denote the outcomes of rolling the die as pairs (a, b), where 'a' represents the result of the first roll and 'b' represents the result of the second roll.

The possible outcomes for rolling a die are:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6).

Out of these 36 possible outcomes, the favorable outcomes (pairs with a sum at most 5) are:

(1, 1), (1, 2), (1, 3),

(2, 1), (2, 2), (2, 3),

(3, 1), (3, 2), (3, 3),

(4, 1), (4, 2),

(5, 1).

There are 11 favorable outcomes out of 36 possible outcomes.

Therefore, the probability of obtaining a sum at most 5 when rolling a die two times is:

P(sum ≤ 5) = favorable outcomes / possible outcomes = 11/36 ≈ 0.3056.

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Step-by-step explanation:

The slope is the coefficient of x, which is -0.4.

Answer:

-2/5

Step-by-step explanation:

y=-2/5x-3

y=mx+b

m is the slope so -2/5 is the slope

Hope this helps :D

we can conclude that there is significant evidence to support the claim that μ is less than 10.

We need to compare the test statistic with the critical value to determine whether to reject or fail to reject the null hypothesis. Since the test statistic (-2.50) is less than the critical value (-1.645), we can reject the null hypothesis at the 5% level of significance.

The conclusion is that there is sufficient evidence to support the alternative hypothesis Ha: μ < 10. This means that the sample data suggests that the true population mean is less than 10, and we can reject the possibility that the population mean is greater than or equal to 10.

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Answer:  yours is correct

Step-by-step explanation:

Since P = -2 and D = 5,

P - D = -2 - 5 = -7

P + D = -2 + 5 = 3

D - P = 5 - -2 = 7

this makes P - D the smallest, and D - P the largest

Answer:

Its y2-y1 over x2-x1

Step-by-step explanation:

Hope that helps!

Answer:

The slope is the change in Y over (divided by) the change in X

So, (Y2-Y1)/(X2-X1) is your answer

Step-by-step explanation:

Hope this helped!!

Please refer to the attached image of this answer. Also you don't have to color the dot plots

Answer:

The first one.

Step-by-step explanation:

6 hours x 2 chair = 12

6 hours x 4 chair = 24

but don’t forget to add the chairs already made.

12+ 6 = 18

24+6=30