The weekly salaries (in dollars) for 7 employees of a small business are given below. (Note that these are already ordered from least to greatest.) 556,614,689,733,742,786,941Suppose that the $941 salary changes to $787. Answer the following.

Answer:

(-2)4=-8

Step-by-step explanation:

Maryam received a 71% overall exam percentage score due to her performance on Paper 1, which is worth more points than Paper 2.

We must determine the weighted average of Maryam's results on each paper in order to determine her overall exam % score. We may weight Maryam's results appropriately since Paper 1 accounts for 60% of the total marks and Paper 2 for 40% of the total marks:

Overall percentage score: (65%) = 0.6; (80%) = 0.4.

= 0.6 × 0.65 + 0.4 × 0.80 (converting percentages to decimals) (converting percentages to decimals)

= 0.39 + 0.32

= 0.71

Maryam received a 71% overall exam percentage score as a result. Thus, she performed 71 out of 100 in the test. Given that Paper 1 is worth more points than Paper 2, Maryam's performance on Paper 1 will have a bigger impact on her final score because of the weightings utilized in this computation.

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Complete question is:

An exam is made of two papers that score differently.

Paper 1 has 120 marks.

Paper 2 has 80 marks.

Maryam scores:

65% on Paper 1

80% on Paper 2

Work out Maryam TOTAL percentage score for the exam. You must show your working

8^2 gives you 64. 64x + 539x=603.

Step-by-step explanation:

Your answer would be y=603x-3710

The sample size needed to achieve a margin of error of 1.12 with a 90% confidence level is 215.

To determine the sample size required for a 90% confidence level and a margin of error less than or equal to 1.12, we need to use the formula for sample size calculation. Given that the population standard deviation is 10, we can use the formula:

n = (Z * σ / E)²

Where:

n is the required sample size,

Z is the z-score corresponding to the desired confidence level (90% corresponds to a z-score of approximately 1.64),

σ is the population standard deviation (10), and

E is the desired margin of error (1.12).

Plugging in the values, we have:

n = (1.64 * 10 / 1.12)² = 214.18

Since the sample size must be a whole number, we round up to 215. Therefore, a sample size of 215 is needed to achieve a margin of error less than or equal to 1.12 with a 90% confidence level.

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Answer:

\(y=\dfrac{1}{2}x + 1\)

Step-by-step explanation:

In this question, we are asked for an equation for the graphed line, given the following information about it:

-its slope (rate of change) is 1/2

-its y-intercept (initial value) is 1

We can plug these values into the slope-intercept form equation:

\(y=mx+b\)

where \(m\) is the line's slope, and b is its y-intercept.

Hence,

\(y=\dfrac{1}{2}x + 1\)

Answer:24

Step-by-step explanation:

The coordinates of R are (7, -3).

Therefore,

R are (7, -3)

P are (4,-3)

Q are (4,4)

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Answer:

The possible outcomes are {1,2,3,4,5,6}

Probability of rolling a 2 or less is 1/3

Step-by-step explanation:

When rolling a six-sided number cube, the possible outcomes are rolling a

1, 2, 3, 4, 5, or a 6

We can write this as a sample set = {1,2,3,4,5,6}

Now, assuming that the cube is fair, meaning there is equal probability of rolling any number.

Now, since there are 6 possibilities, the probability of rolling any number is 1/6, so, Probability of

rolling a 1 + rolling a 2 + rolling a 3 + rolling a 4 + rolling a 5 + rolling a 6

= 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 = 1

So, This means that we are always going to roll one of these numbers (one side of the cube has to face upwards and so on)

Now, the probability of rolling a 2 or less will be the sum of rolling a 2 and rolling a 1 so,

Probability of rolling a 2 or less = probability of rolling a 2 + probability of rolling a 1 = 1/6 + 1/6 = 2/6 = 1/3

Hence it is 1/3

Answer:

you did not show the full question mate

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (6, 11)

d = \(\sqrt{(6+2)^2+(11+4)^2}\)

   = \(\sqrt{8^2+15^2}\)

   = \(\sqrt{64+225}\)

   = \(\sqrt{289}\)

   = 17 → A

Answer:

3. y=2x + 4

Step-by-step explanation:

We know that b is 4 because of the point (0,4)

Now count the slope by using rise over run

We go up 2 and over 1 so the slope is 2

The probability that x is greater than or equal to 1 is 0.875 or 87.5%

To find the probability that x, the number of heads in three tosses of a fair coin, is greater than or equal to 1, we can use the following steps:

1. Determine the total possible outcomes: There are 2 outcomes for each coin toss (heads or tails), so for 3 tosses, there are 2^3 = 8 possible outcomes.
2. Count the outcomes where x is greater than or equal to 1: We have 7 favorable outcomes (HHH, HHT, HTH, THH, HTT, THT, and TTH). The only outcome not included is TTT (no heads).
3. Calculate the probability: Divide the number of favorable outcomes by the total possible outcomes.

Probability(x ≥ 1) = (favorable outcomes) / (total possible outcomes) = 7 / 8 = 0.875

So, the probability that x is greater than or equal to 1 is 0.875 or 87.5%.

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when selecting date units for grouping, users can select multiple units of measure. then it is a true statement

Natural selection is the phenomenon that results in evolution. By natural selection, the nature favors those individuals that adapt better to the changing environment and continue to reproduce. The unit of natural selection is an individual and not an entire population. The changes that occur in and individual due to natural selection are heritable.

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Answer:

prob just \(\sqrt{6}\)

Step-by-step explanation:

leg = \(\sqrt{3}\)

j = \(\sqrt{3}\) * \(\sqrt{2}\)

\(\sqrt{6}\)

Answer:

Step-by-step explanation:

Answer:

5x-15+4=18

technically there's only one answer because you do parentheses first but if you did do parentheses first then the other answer could be

5(x-3)=14

Answer:

-23/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The given angle is 45 degrees so the triangle has the same legs.

we can find the hypotenuse by using the Pythagorean theorem

y= √2(√2)^2 = √4 = 2

In a nonlinear optimization problem, the objective function or constraints (or both) contain at least one nonlinear term. Nonlinear terms are functions that cannot be expressed as a linear combination of the decision variables. Therefore, the objective function cannot be expressed as a simple sum of the decision variables, and the constraints cannot be expressed as linear equations or inequalities.

There are different types of nonlinear optimization problems, depending on the nature of the nonlinearities. For example, the objective function can be nonlinear even if all the constraints are linear. Alternatively, all the constraints can be nonlinear, but the objective function can be linear.

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let breadth be X

length = 2x

height = 8m

rate of painting the four wall= 20/m^2

cost of painting=9600

Area of four wall= cost of painting / rate

= 9600/20

= 480m^2

again,

Area of four wall = 2 h(l+b)

or, 480=2×8(X+2x)

or, 480/16=3x

or, 30/3=X

or, X= 10m

again,

2x= 2×10m=20m

again,

Area of floor = length × breadth

= 20×10

=200m^2

again,

rate of carpeting the floor= 400/m^2

cost of carpeting the floor = rate × area

= 400× 200

= Rs. 80000

To prove that A(B∩C)=(A\B)∪(A\C), we need to show every element in left-hand side is also in right-hand side, vice versa.Let x be element in A(B∩C). This means x is in set A but not in intersection of sets B and C.

Let x be an element in A(B∩C). This means x is in set A but not in the intersection of sets B and C. Therefore, x is in A but not in both B and C. By the definition of set difference, x is in A and not in B, or x is in A and not in C. Hence, x is in (A\B) or in (A\C), which implies x is in (A\B)∪(A\C).

Conversely, let y be an element in (A\B)∪(A\C). This means y is either in (A\B) or in (A\C). If y is in (A\B), then y is in A but not in B. Similarly, if y is in (A\C), then y is in A but not in C. In both cases, y is in A but not in the intersection of B and C. Therefore, y is in A(B∩C).

Since we have shown that every element in the LHS is also in the RHS, and vice versa, we conclude that A(B∩C)=(A\B)∪(A\C).                             For the specific sets A=N, B=2Z, and C=Z≥10:

2) A\B represents the set of all odd integers.

Regarding the truth table:

(ii) ((p∨q)⊕(p→q)⇒(p→q)∧q is False.

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Answer: 9.95

Step-by-step explanation:

in similar trapezoids a rearranged formula can be used to solve for the missing base:

\(c^{2} =ab\)  ⇒ \(c=\sqrt{ab}\)

a = the top of the trapezoid

b= the base of the trapezoid

c = the missing base

\(c=\sqrt{(9)(11)}\)

\(c = 9.949\)

Answer:

-3/8

Step-by-step explanation:

This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!

Answer:non statistical

Step-by-step explanation:

Answer:

Non- Statistical

Step-by-step explanation:

There are different types of sports. we need to narrow down every single sport.

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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Answer:

Step-by-step explanation:

If you picture this scene in your head, you will get a simple 3x4x5 right triangle. 4 times 2 is 8, 5 times 2 is 10, so Sarah should, by now, have traveled 3 times 2 miles.

Final answer: Sarah has traveled 6 miles after an hour.

Hope this helped! :)

Helping tip: The reason it is not 4 is because they are not traveling west and east away from each other. They are traveling north and east, so they are moving in two directions to form a right triangle, and the hypotenuse would be 10 (miles). The side, or distance, that Beth has traveled is 8. So as this is a typical variation of a 3x4x5 triangle, Sarah will have traveled  6 miles.

Answer:

\(Area: 29 cm^{2}\)

Step-by-step explanation:

\(Aear=(8.5+6)(\frac{4}{5} )\)

\(Area=14.5 (2)\)

\(Area=29\)

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

hope it helps...

have a great day!!

Answer:

74.85 (Plato/Edmentum)

Step-by-step explanation:

#1: 28.97 + 45.876

#2: 74.846

#3: 74.85

Answer:

-0.2

Step-by-step explanation:

Answer:

-0.2

Step-by-step explanation:

In this case, as the number of hours spent on television increases, the GPA decreases. This relationship is called a negative correlation.

The plot of data that demonstrates the relationship between the number of hours a person watches television and their GPA is an essential tool to understand the correlation between these two factors.

From the plot, we can see that as the number of hours of television increases, the GPA goes down. This relationship suggests that the more time a person spends watching television, the lower their academic performance tends to be.

It is crucial to note that this relationship is not a direct causation. The plot of data does not prove that watching television causes a decrease in GPA.

It merely shows that there is a correlation between these two factors. There may be other underlying factors that contribute to the lower GPA of people who watch more television, such as lack of study time or poor time management skills.

Therefore, it is essential to use caution when interpreting the plot of data and not make any hasty conclusions about the relationship between the number of hours a person watches television and their academic performance.

Still, the data provides valuable insights that can help individuals make informed decisions about how they manage their time and prioritize their activities .A plot of data illustrates the relationship between the number of hours a person watches television and their GPA.

In this case, as the number of hours spent on television increases, the GPA decreases. This relationship is called a negative correlation.

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Answer:

hi

Step-by-step explanation:

im adding an answer so u can giveee the guy brailiestz

Answer:

376.8 m²

Step-by-step explanation:

The formula for finding the surface area of a cylinder is SA=2πr²+2πrh, where r is the radius of the base and h is the height of the cylinder. Using the diameter of the base, we can first calculate that the radius of the base is 10/2=5 meters. Then, we can plug our values into the equation.

SA=2πr²+2πrh

SA=2π(5)²+2π(5)(7)

SA=2π(25)+2π(35)

SA=50π+70π

SA=120π

Because the question asks us to use 3.14 for π, we plug that into our equation.

SA=120(3.14)

SA=376.8 m²

I hope this helps!

1. The stretching technique emphasized in the scenario of a tennis player running up to the net and shuffling back to the baseline is dynamic stretching.

2. The stretching technique emphasized in the scenario of a runner performing various stretches for 30 seconds on each side after a run is static stretching.

1. The stretching technique emphasized in the scenario of a tennis player running up to the net and shuffling back to the baseline five times is dynamic stretching. Dynamic stretching involves performing controlled movements that mimic the motions of the activity or sport being performed. In this case, the tennis player is incorporating dynamic movements to warm up and prepare their muscles for the specific demands of playing tennis.

2. The stretching technique emphasized in the scenario of a runner performing a quadriceps stretch, gastrocnemius stretch, and a runner's stretch for 30 seconds on each side of the body after a run is static stretching. Static stretching involves holding a stretch in a stationary position for a certain period of time. In this case, the runner is holding each stretch for 30 seconds, which is a characteristic of static stretching. Static stretching is commonly used to improve flexibility and promote muscle relaxation after exercise.

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In the given scenario, the type of stretching technique being emphasized is Dynamic Stretching.

Dynamic stretching is a type of stretching technique that involves active movements to improve flexibility and range of motion. It is typically performed as part of a warm-up routine before engaging in physical activity. Unlike static stretching, which involves holding a stretch for an extended period, dynamic stretching incorporates dynamic movements that mimic the actions performed during the activity. This helps to warm up the muscles, increase blood flow, and prepare the body for the upcoming exercise or sports activity.

In the given scenario, the type of stretching technique being emphasized is Static Stretching.

Static stretching, on the other hand, is a stretching method where a stretch is held in a fixed position for a prolonged period of time, typically ranging from 15 to 60 seconds. This technique is often used to improve flexibility and increase the length of muscles and tendons. Static stretching is commonly performed during the cooldown phase after exercise or physical activity. It helps to relax the muscles, reduce muscle soreness, and improve overall flexibility and joint mobility.

Both dynamic stretching and static stretching have their benefits and serve different purposes in a fitness or sports routine. Dynamic stretching is effective for warming up the body and preparing it for physical activity, while static stretching is useful for improving flexibility and promoting relaxation in the muscles. It's important to choose the appropriate stretching technique based on your specific goals and the context of your exercise or sports regimen.

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