Which property of equality could be used to solve -3x = 348? addition property A.subtraction property B.division property C.multiplication property

Answer:

63 hope this helped

Step-by-step explanation:

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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You should multiply the experimental probability by the total number of trials in an actual experiment when making a prediction.

An experimental probability is also referred to as relative frequency or empirical probability and it can be defined as a ratio of the number of outcomes for the occurrence of a specific event to the total number of trials in an actual experiment.

In order to make a prediction by using experimental probability, you should multiply the experimental probability by the total number of trials in an actual experiment.

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The distance between two points can be calculated using the formula;

For points;

Given the points;

The distance between the two points can be calculated using the above formula;

The distance between the two points is;

If demand has averaged 6105 units with a standard deviation of 243. the company currently has 6647 units in stock ,the service level is approximately 1.28%, which is option b.

To calculate the service level, we need to determine the probability that the demand does not exceed the available stock. We can use the Z-score formula to calculate this probability.

Given:

Average demand (μ) = 6105 units

Standard deviation (σ) = 243 units

Available stock (X) = 6647 units

First, we calculate the Z-score using the formula:

Z = (X - μ) / σ

Substituting the values, we get:

Z = (6647 - 6105) / 243

Z = 542 / 243

Z ≈ 2.231

Next, we need to find the corresponding probability using the Z-table or a statistical calculator. The Z-score of approximately 2.231 corresponds to a probability of approximately 0.988.

Since we are interested in the probability that the demand does not exceed the available stock, we subtract the obtained probability from 1:

1 - 0.9882 = 0.0128

Converting the probability to a percentage, we get 0.012 * 100 = 1.28%.

Therefore, correct option is B.

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Answer:

1. 24.8

2. 21

Step-by-step explanation:

have a good day!!!!

Answer:

Step-by-step explanation:

The area of any square = s^2 where s is the length of one side.

Area = s^2

s  = 6.2

Area = 6.2^2

Area = 36.44 in^2

Perimeter = 4s

s = 5 1/4 = 5.25

Perimeter = 4 * 5.25

Perimeter = 21 in^2

Answer:

b

Step-by-step explanation:

trust me

Answer:

A

Step-by-step explanation:

Answer:

3 on edge

Step-by-step explanation:

Just did the assignment

Answer:

x + y = 248

Step-by-step explanation:

Using the property : Sum of co- interior angles = 180

\(\angle y + 56 = 180\\\\\angle y = 180 - 56 = 124\\\\\angle x + 56 = 180\\\\\anle x = 180 - 56 = 124\\\\\angle x + \angle y = 124 + 124 = 248^\circ\)

The value of 'x' and 'y' are 124° and 124°, respectively. Thus, the value of the expression x + y will be 248°.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides and angles are parallel and equal.

According to the definition, the value of 'x' and 'y' will be equal.

And the sum of adjacent angles will be 180 degrees. Then the equation is given as,

x + 56° = 180°

x = 124°

The sum of 'x' and 'y' is given as,

x + y = 124° + 124°

x + y = 248°

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hello!

the answer to your question is 41!

-----------

explanation:

- Step 1: Our output value is 100.

- Step 2: We represent the unknown value with \(x\).

- Step 3: From step 1 above, \(100 = 100%\)%

- Step 4: Similarly, \(x = 41%\)%

- Step 5: This results in a pair of simple equations:

\(100 = 100% (1)\)% (1)

\(x=41\)% (2)

- Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both  equations have the same unit (%); we have

\(\frac{100}{x}\) = \(\frac{100}{41}\)

- Step 7: Again, the reciprocal of both sides gives

\(\frac{x}{100}\) = \(\frac{41}{100}\)

Therefore, 41% of 100 is 41.

hope this helps! have a great day! :D

a)The 95% confidence-interval is:$$\text{95% CI} = 104 \pm 2.179 \cdot \frac{5}{\sqrt{13}} = (99.43, 108.57)$$ and the 99% confidence interval is: $$\text{99% CI} = 104 \pm 3.055 \cdot \frac{5}{\sqrt{13}} = (97.49, 110.51)$$

b)We have strong evidence to suggest that \($\mu_d = \mu_1 - \mu_2$\) exceeds 100.

a) To calculate the 95% and 99% confidence intervals for

μd = μ1 - μ2,

we'll need to use the t-distribution.

Since our sample is normally distributed with a sample mean of 104 and a sample standard deviation of 5, we can use the formula for the t-distribution as follows:

\($$\text{Confidence Interval for μd = μ1 - μ2} = \bar{x} \pm t_{\alpha/2, n-1}\frac{s}{\sqrt{n}}$$\)

Where\($\bar{x}$\) is the sample mean,

\($s$\) is the sample standard deviation,

\($n$\) is the sample size, and

\($t_{\alpha/2, n-1}$\) is the t-value with \($n-1$\) degrees of freedom for a given level of significance \($\alpha/2$\).

For a 95% confidence interval, \($\alpha = 0.05$ and $t_{0.025, 12} = 2.179$\).

Thus, the 95% confidence interval is:

$$\text{95% CI} = 104 \pm 2.179 \cdot \frac{5}{\sqrt{13}} = (99.43, 108.57)$$

For a 99% confidence interval, \($\alpha = 0.01$\) and

\($t_{0.005, 12} = 3.055$\).

Thus, the 99% confidence interval is:

$$\text{99% CI} = 104 \pm 3.055 \cdot \frac{5}{\sqrt{13}} = (97.49, 110.51)$$

b) To test the null hypothesis \($H_0 : \mu_d \leq 100$\) versus the alternative hypothesis \($H_a : \mu_d > 100$\),

we'll need to use a one-sample t-test.

Since our sample size is small (less than 30), we'll need to use the t-distribution instead of the standard normal distribution.

The test statistic is given by:

\($$t = \frac{\bar{x} - \mu_0}{s/\sqrt{n}}$$\)

Where \($\bar{x}$\) is the sample mean,

\($\mu_0$\) is the null hypothesis value,

\($s$\) is the sample standard deviation, and

\($n$\) is the sample size.

For \($\alpha = 0.05$\) and

\($\alpha = 0.01$\),

the critical values are \($t_{0.05, 12} = 1.782$\) and \($t_{0.01, 12} = 2.681$\), respectively.

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is evidence that \($\mu_d > 100$\).

Otherwise, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that \($\mu_d > 100$\).

For \($\alpha = 0.05$\),

we have:\($$t = \frac{104 - 100}{5/\sqrt{13}} = 4.55$$\)

Since \($t > t_{0.05, 12}$\), we reject \($H_0$\) and conclude that there is evidence that \($\mu_d > 100$\).

For \($\alpha = 0.01$\),

we have:\($$t = \frac{104 - 100}{5/\sqrt{13}} = 4.55$$\)

Since \($t > t_{0.01, 12}$\),

we reject \($H_0$\) and conclude that there is evidence that \($\mu_d > 100$\).

Therefore, we have strong evidence to suggest that \($\mu_d = \mu_1 - \mu_2$\) exceeds 100.

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Answer:

h=84

Step-by-step explanation:

You need to set up two equations. The first will be math + history = 240, or m + h = 240. and than you have to h = m - 72 and after that you have to use the second equation to replace the "h" in the first equation: m + m - 72 = 240. and than do 2m - 72 = 240 and solve it. and add 72 to both sides 2m=312 than divide both sides by 2 which will be m = 156 which than you do 156+ h and that will give you 240. than subtract 156 from both sides and your Answer would be here=84.

A function assigns the values. The profit-maximizing quantity of labour to hire is 15 workers.

A function assigns the value of each element of one set to the other specific element of another set.

Given the marginal revenue product, MRP = 40-(Q/10)

The cost of labour, WL = 10

The production function, Q = 20 L

For profit maximizing quantity of labour to hire where,

MRP = WL

40-(Q/10) = 10

40-(20L/10)=10

40-2L=10

-2L = 10-40

-2L=-30

L=15

Hence, the profit-maximizing quantity of labour to hire is 15 workers.

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The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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The distance traveled is equal to sin^2(θ), as seen before.

To find the distance traveled by a particle with position (x, y) as t varies in the given time interval, we need to first find the parametric equations for x and y in terms of t, and then compute the arc length of the curve.

Given x = sin^2(t) and y = cos^2(t), we first find the derivatives of x and y with respect to t:
dx/dt = 2 * sin(t) * cos(t)
dy/dt = -2 * sin(t) * cos(t)

Next, we compute the square root of the sum of the squares of the derivatives:
sqrt((dx/dt)^2 + (dy/dt)^2) = sqrt((2 * sin(t) * cos(t))^2 + (-2 * sin(t) * cos(t))^2) = sqrt(4 * sin^2(t) * cos^2(t) + 4 * sin^2(t) * cos^2(t)) = 2 * sin(t) * cos(t)

Now, we can find the distance traveled by integrating the above expression with respect to t over the given time interval (0, θ):

Distance traveled = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

Using the substitution u = sin(t), du = cos(t) dt, we get:

Distance traveled = ∫(2 * u du) from 0 to sin(θ)

Now, integrating with respect to u, we get:

Distance traveled = u^2 | from 0 to sin(θ) = (sin^2(θ)) - (0^2) = sin^2(θ)

The length of the curve can be computed as the arc length:

Length of the curve = ∫(2 * sin(t) * cos(t) dt) from 0 to θ

As we computed earlier, the distance traveled is equal to sin^2(θ). Therefore, the distance traveled by the particle is the same as the length of the curve.

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Answer:

X=0

Step-by-step explanation:

5(6-X)-3=5+4(X+3)

30-5x=5+4x+12

30-5-12=4x+5x

13=9x

13/9=x

Answer:

Use BODMAS rule

1st:B- solve bracket

2nd-O- open bracket

3rd;D:divide

4th:M- multiply

5th:A- Addition

6th :Subtract

Solution given;

5 (6 - x) - 3 = 5 + 4 (x + 3)

open bracket

30-5x-3=5+4x+12

30-3-5-12=5x+4x

10=9x

x=10/9

x=10/9

The length of ST is 3.61 units.

The length of TU is 3.16 units.

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by:

d=√((x₂ – x₁)² + (y₂ – y₁)²)

Length of ST:

The coordinates of S and T are:

S(0, 0) : x₁ = 0 , y₁ = -5

T(2, 3) : x₂  = 2 , y₂  = -2

Using the distance formula with the given values:

d=√((x₂ – x₁)² + (y₂ – y₁)²)

d=√((2 – 0)² + (-2 – (-5))²) = 3.61 units

Thus, the length of ST is 3.61 units.

Length of TU:

The coordinates of S and T are:

T(0, 0) : x₁ = 2 , y₁ = -2

U(2, 3) : x₂  = 3 , y₂  = -5

Using the distance formula with the given values:

d=√((x₂ – x₁)² + (y₂ – y₁)²)

d=√((3 – 2)² + (-5 – (-2))²) = 3.16 units

Thus, the length of ST is 3.16 units.

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The square yard of rubbers needed for the park is 187.5 yards².

The new park is built in the shape of a trapezium. Let's find the square yard of rubbers to cover the ground.

Therefore,

area of a trapezium = 1 / 2 (a + b)h

where

Therefore,

a = 10 yards

b = 20 yards

h = 12.5 yards

area of a trapezium = 1 / 2 (10 + 20)12.5

area of a trapezium = 1 / 2 (30)12.5

area of a trapezium = 15 × 12.5

area of a trapezium = 187.5 yards²

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To prove that ∠LKM is a right angle, we will use a two-column proof. The proof will utilize the given information that ∠H is a right angle and that L, K, and M are midpoints.

Proof:
| Statements                                           | Reasons                        |
|---------------------|--------------------------------|
| 1. ∠H is a right angle                             | Given                          |
| 2. LM is parallel to HK                           | Midpoint theorem               |
| 3. LM and HK are perpendicular          | Definition of perpendicular lines |
| 4. ∠LKM and ∠HKM are right angles    | Definition of a right angle   |
| 5. ∠LKM is a right angle                        | Transitive property of equality |
In the proof, we start by using the given information that ∠H is a right angle. We then apply the midpoint theorem to establish that LM is parallel to HK because L, K, and M are midpoints. From there, we can conclude that LM and HK are perpendicular since the slopes of parallel lines are negative reciprocals. This allows us to state that both ∠LKM and ∠HKM are right angles, as they are formed by a line intersecting perpendicular lines. Finally, using the transitive property of equality, we can conclude that ∠LKM is a right angle since it is equal to ∠HKM, which is a known right angle.

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If you look at the problems, it requires combining like-term numbers and distributing (variables, coefficients, etc). So to combine like-term numbers, you should look for the same variables and/or coefficients. But, if there are parentheses '()' in the equations, you must distribute (multiply) them first and then combine like-terms.

For example, in problem #2 you see -2(3x + 15) \(\leq\) 42

So first, distribute.

-6x -30 \(\leq\) 42

Now solve. Make sure you don't let the inequality sign confuse or trick you. It is just like when solving a two-step equation. So if I were you, I would pretend the inequality sign is an equal sign '='

Inverse operation: Turn -30 into +30 and add to 42.

-6x -30 \(\leq\) 42

     +30 \(\leq\) +30

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

        -6x \(\leq\) 72

Inverse operation: Turn -6x into /-6 (division)

-6x/-6x \(\leq\) 72

Now, here is the tricky part. When dividing or multiplying a negative coefficient (for example -6x is a negative coefficient) you MUST flip the inequality sign.

x \(\geq\) -12

That's how you solve this and I hope this helps you :D

Answer:

Gordon: 16 pounds

Henry: 24 pounds

Sarah: 8 pounds

Step-by-step explanation:

Number of parts: 3+2+1 = 6

Amount per part: 48/6 = 8

Now Each person gets:

Gordon: 8 x 2 =  16 pounds

Henry: 8 x 3 = 24 pounds

Sarah:8 x 1= 8 pounds

Hope this helps.

Good Luck

Answer:

Gordon $16

Henry$24

Sarah$8

Step-by-step explanation:

You add the ratio 2+3+1= 6

Then you take everyone ratio according to how their names are arranged over 6 then you get the answer

Gordon2/6×48= 16

Henry3/6×48= 24

Sarah1/6×48= 8

The independent variable for Scenario A is given as follows:

a. The employee benefits package.

In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:

In the context of this problem, we have that the input and the output of the relation are given as follows:

Hence the independent variable for Scenario A is given as follows:

a. The employee benefits package.

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Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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Answer:

33x12.50R15)

Step-by-step explanation:

It will take approximately 2.1 years for the price to rise to 4 dollars at inflation rate of 10.5%.  

The price p of a gallon of gas after x years is given by the equation p = p₀(1 + r)ˣ where p₀ is the initial price of gas and r is the rate of inflation.

If the price of the gallon is 3.25 dollars, the time it will take for the price to rise to 4 dollars if the inflation rate is 10.5% can be calculated as follows:

p = p₀(1 + r)ˣ

where

Therefore,

r = 10.5% = 0.105

p₀ = 3.25

p = 4

4 = 3.25(1 + 0.105)ˣ

4 = 3.25(1.105)ˣ

4 / 3.25 = (1.105)ˣ

1.23076923077 = (1.105)ˣ

x = In 1.23076923077  / In 1.105

x = 0.20758311319 / 0.09984533496

x = 2.07904669154

Therefore, it will take approximately 2.1 years.

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Answer:

Total amount reimbursed / Total daily budget ;

7 days

Step-by-step explanation:

Given the following :

Amount reimbursed = $1,750

Amount paid for food and lodging = $150/ day

Amount paid for gas = $100 / day

A) Equation to get the number of days on the trip:

Total amount reimbursed / Total daily budget

B.) Total daily budget = $(150 + 100) = $250/ day

Number of days :

(Total amount reimbursed / Total daily budget)

($1,750 / $250)

= 7 days