Can somebody plz help answer both these word problems and (write amp equation for each problem and solve) thx :3

WILL MARK BRAINLIEST WHOEVER ANSWERS THESE FIRST!!!:DDD

Anu's score is 4 marks.

For each correct answer, Anu gets 3 marks, and for each incorrect answer, she loses 1 mark. Anu answered 8 questions correctly, so she gets 8 * 3 = 24 marks for the correct answers. She also answered 12 questions incorrectly, resulting in a deduction of 12 * (-1) = -12 marks for the incorrect answers.

To calculate Anu's overall score, we add the marks for correct answers to the marks deducted for incorrect answers:

Score = Marks for correct answers + Marks for incorrect answers

= 24 + (-12)

= 12

Therefore, Anu's score is 12 marks.

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Explanation:

There are 6 blocks across the width, 3 blocks along the height, and 2 blocks along the depth.

The volume is 6*3*2 = 18*2 = 36 cubic inches. In other words, there are 36 small blocks that make up this bigger 3D solid.

Answer with explanation:

From the box and whisker plot of seventh grade we have:

The minimum value =6

First quartile or lower quartile i.e. = 14

Median or second quartile i.e. = 18

Third quartile or upper quartile i.e. =22

and maximum value = 26

From the box and whisker plot of eighth grade we have:

The minimum value =22

First quartile or lower quartile i.e. = 26

Median or second quartile i.e. = 30

Third quartile or upper quartile i.e. = 34

and maximum value = 38

a)

The overlap of the two sets of data is as follows.

   The upper quartile or third quartile of seventh grade is same as the minimum value of the data of eighth grade.

   And the maximum value of seventh grade is same as the lower quartile of eighth grade.

b)

IQR is calculated as the difference of the Upper quartile and the lower quartile

i.e.

so, IQR of seventh grade is:

22-14=8

IQR of seventh grade=8

IQR of eighth grade is:

34-26=8

Hence, IQR of eighth grade=8

c)

The difference of the median of the two data sets is:

30-18=12

Hence, the difference of median is: 12

d)

As the IQR of both the sets is same i.e. 8.

Hence, the number that must be multiplied by IQR so that it is equal to the difference between the medians of the two sets is:

Hence, the number is : 1.5

Answer:

ive seen this before

Step-by-step explanation:

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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If x and y are independent variables such that x has uniform distribution (0,1) and y has exponential distribution means 1 then e (X+Y) is 3/2, E(XY) is 1/2, E (x-y)2 is 4/3 and E x2 e24 is -1/3

\(2^{2}\)\(e^{ty}\)x ≈ u (0,1) > Independent

y ≈ exp (1) > Independent

E (x) = 0+1/2 = 1/2

v (x) = \([1- 0 ] ^{2}\) / 12 = 1/12

E \(x^{2}\) = v (x) + \([ E x]^{2}\)

       = 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3

E (y) = 1  v(y)=1  E \(y^{2}\)= 1+1= 2

E\(e^{ty}\) = \(\int\limits^_0\)\(e^{ty}\)\(e^{-y} dy\)

E\(e^{ty}\)  = \(\int\limits^_0\)\(e^{-y} (1-t)\) dy

a : E (x+y) = E (x) + E(y)

       E (x+y) = 1/2+1 = 3/2

b: E (xy) = E (x) E(y) = 1/2 x 1 = 1/2

c: E \([x-y]^2\) = E (\(x^{2}\)-2xy+ \(y^{2}\)

   = E \(x^{2}\) - 2 Exy + E \(y^{2}\)

  =  1/3 - 2 x 1/2 + 2

   = 1/3 + 1 = 4/3

d. E \(x^{2}\) \(e^{24}\)

   E (\(x^{2}\) ) E \(e^{24}\) = 1/3 x -1 = - 1/3

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To find the down payment, we need to multiply the price of the house by the percentage paid as a down payment:

Down payment = 16% × $460,000 = $73,600

The original amount financed is the price of the house minus the down payment:

Original amount financed = $460,000 - $73,600 = $386,400

To find the monthly payment, we can use the formula for a fixed-payment loan:

Monthly payment = (P × r) / (1 - (1 + r)^(-n))

where P is the principal (the original amount financed), r is the monthly interest rate (5.4% divided by 12), and n is the number of monthly payments (30 years times 12 months per year, or 360).

Monthly payment = ($386,400 × 0.0045) / (1 - (1 + 0.0045)^(-360)) = $2,187.28

To find the total amount of money Jenelle will spend on the home, we can multiply the monthly payment by the number of payments:

Total amount spent = (Monthly payment) × (Number of payments)

Number of payments = 30 years × 12 months per year = 360

Total amount spent = $2,187.28 × 360 = $788,020.80

Adding the down payment, the total cost of the home for Jenelle will be:

Total cost = $460,000 + $788,020.80 = $1,248,020.80

Answer:

3.6

Step-by-step explanation:

260% of 6

100%= 0.06

100% times 2 is 0.06 X 2= 0.12

200%= 0.12

10%= 0.6

60%= 3.6

200% + 60%=

0.12 + 3.6= 3.72

The closest to 3.72 is 3.6

So the answer is 3.6

Answer:

To find this, multiply 6 by the decimal value of the percent.

6*2.6=15.6

Final answer: 15.6

Step-by-step explanation:

Answer:

X= 140

Step-by-step explanation:

I hope this helps. =D

Answer:

x=140

Step-by-step explanation:

1.1x+1.4x=350  1. combine like terms which 1.1x+1.4x

2.5x=350        2. /2.5 on both sides

x=140

Answer:

Step-by-step explanation:

Answer:

AB=5.39 cm

BC=5 cm

CD=5.83 cm

DE=3.91 cm

A to E=20.13 cm

Step-by-step explanation:

DE^2=2.5^2+3^2

DE^2=6.25+9

DE^2=15.25

DE=3.91

CD^2=3^2+5^2

CD^2=9+25

CD^2=34

CD= 5.83

BC^2=4^2+3^2

BC^2=16+9

BC^2=25

BC=5

AB^2=5^2+2^2

AB^2=25+4

AB^2=29

AB=5.39

5.39+5+5.83+3.91=20.13

Answer:

21/100

Step-by-step explanation:

0.21 is out of 100 so you divide 0.21 by 100 which will give you 21 and so it is 21 out of 100.

Answer:

25 and 20

Step-by-step explanation:

p²=24²+7² ⇒ p²= 625 ⇒ p=25

q²=p²-15² ⇒ q²=625 - 225 ⇒ q²=400 ⇒ q= 20

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

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(A) is the answer.

It could be (B)

Answer:

There are 182.88 cm in 6 feet, given that 1 inch = 2.54 cm.

Step-by-step explanation:

Given that 1 inch = 2.54 cm, how many centimeters are there in 6 feet?

12 inches = 1 foot

We have 6 feet, so:

6 feet x 12 inches = 72 inches

If 1 inch is 2.54 cm, multiply by the number of inches by 2.54 to get the number of cm.

2.54 x 72 = 182.88

There are 182.88 cm in 6 feet, given that 1 inch = 2.54 cm.

So option C is correct.

They have same x intercept and end behaviour

The correct comparison between the two functions is that option A. They have the same x intercept and same end behavior.

End behavior of a function is the statement which describes the behavior of the graph of the function towards the end of the X axis.

x intercept of a function is the x coordinate of the point that the graph touches with the X axis.

y coordinate will be 0 there.

f touches the X axis at (1, 0).

x intercept of f = 1

g passes through the point (1, 0).

So x intercept of g = 1

Both have the same x intercept.

y intercept is the y coordinate where the graph touches the Y axis.

y intercept of f = -3

y intercept of g = -4

y intercept is not the same.

The graph of f is approaching to a constant value as it moves along the X axis.

Similarly, for g, the difference between the values of the function at consecutive points is decreasing and it tends to 0.

So the end behavior is same.

Hence the correct option is A.

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Answer:

250 square feet

Step-by-step explanation:

1 1/2 = 3/2 = 1.5

1.5 pound bag = 375 square feet

Take 375 divided by 1.5 = 250 square feet

So, 1 pound of wildflower seeds will cover 250 square feet!

The diameter of the particle is approximately 17.2 nm.We can estimate the diameter of a spherical particle by using the formula of terminal velocity. Therefore, in order to find the diameter of a spherical particle, let's first understand what is terminal velocity and the formula for it.

Definition of Terminal Velocity:

When a body falls in a medium, the speed increases until it reaches a maximum value, known as terminal velocity. At terminal velocity, the weight of the body is balanced by the upward thrust of the fluid, acting in the opposite direction to the motion. The formula for terminal velocity is:

v =√ (2rg/9η) × (ρs - ρf) × d

where:

v is the terminal velocity of the object in m/s

d is the diameter of the object in meters

ρs is the density of the object in kg/m³

ρf is the density of the fluid in kg/m³

η is the viscosity of the fluid in Pa s

g is the acceleration due to gravity in m/s²

Let's solve the given question:

Given values are:

ρs = 1500 kg/m³

ρf = 800 kg/m³

η = 0.001 Pa s

g = 9.81 m/s²

v = 0.01 m/s (converted from 1 cm/s)

We need to find the diameter of the particle.

Using the formula of terminal velocity, we get:

0.01 = (2 × 9.81 × r / \(\sqrt{(9\times0.001)}\) × (1500 - 800) × d

After solving this equation, we get:

0.01 = 76.15 × d × √r

Squaring both sides, we get:

0.0001 = 5803.84 × d × r

Multiplying both sides by r, we get:

0.0001r = 5803.84d × r²

Dividing both sides by 5803.84r, we get:

d = 0.0001 / 5803.84 = 1.72 × \(10^{-8\) m = 17.2 nm

Therefore, the diameter of the particle is approximately 17.2 nm.

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Check the picture below.

Answer:

the answer is b

Step-by-step explanation:

this is made of elongated ellipses. When folded together, the points of the ellipses come together at the top and bottom to create a totally curved surface.

-this is in my geometry class

The resulting net of the food container which is Garette needs to break down for recycling purposes is look like option B.

To break down the solids in the shapes, means to cut it in the different shapes it is made of and then spread it. The solids are cut or break to change the shape of them.

Mostly we break down the solids for the recycling purposes to use the item again. Here, Gazette needs to break down the food container shown below for recycling purposes.

The given figure consist of different shapes. it can be break down in following steps-

Hence, the resulting net of the food container which is Garette needs to break down for recycling purposes is look like option B.

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Work Shown:

L = arc length

L = (radius)*(central angle in radians)

L = (4.5 cm)*(pi/2 radians)

L = (4.5*pi/2) cm

L = (4.5*3.14/2) cm

L = 7.065 cm

L = 7.1 cm

Side note: the central angle must be in radians for that formula to work.

Answer:

  (d)  7.1 cm

Step-by-step explanation:

The arc length is given by ...

  s = rθ . . . . where r is the radius and θ is the arc length in radians

Put your given values in the formula and do the arithmetic.

  s = (4.5 cm)(3.14/2) = 7.065 cm ≈ 7.1 cm

_____

Additional comment

Among the given answer choices, you can choose the correct one based on your knowledge of angle values and the sides of a right triangle. Here the angle is π/2 radians = 90°, so you're concerned with the length of a quarter circle. It will be longer than the radius, but shorter than 2 times the radius (a square corner). The only answer choice greater than the radius length is the correct one.

Answer:

9 plus 11 plus 12 =

Step-by-step explanation:

x is 22

The answer is 4. The given expression is (y + 9)/(y - 4).To find all excluded values for the expression, we must first recognize that division by zero is undefined.

Therefore, we need to set the denominator equal to zero and then solve for y. The values of y that make the denominator equal to zero will be the excluded values of the expression.(y - 4) = 0y = 4.

Therefore, y = 4 is the excluded value for the given expression since it makes the denominator equal to zero, and division by zero is undefined. Answer: 4

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Answer:

0.125

Step-by-step explanation:

It could be a lot of things, but if you mean the decimal form then it would be 0.125. Just divide 1 by 8.

Answer:Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

Step-by-step explanation:

Answer:

I don't understand your question

Step-by-step explanation:

writing it clearly

Answer:

Step-by-step explanation:

Given the length of the pencil, the length of the marker is 130.8 millimeters.

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

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A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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The correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.

When a chocolate bar is cut in half, its density remains unchanged. Density is a physical property of a substance that is determined by its mass per unit volume. When the chocolate bar is cut in half, the mass is also divided into two equal parts, resulting in a reduction of the volume by half as well. Since both the numerator and denominator in the density formula change proportionally, the density remains the same.

For example, if the density of a chocolate bar is 1 gram per cubic centimeter, cutting it in half would result in two smaller bars, each with half the volume and half the mass. The density of each of the new bars would still be 1 gram per cubic centimeter, even though they are smaller in size.

Therefore, the correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.

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