need help with problem 6 need test stastic and p value

Need Help With Problem 6 Need Test Stastic And P Value

Answers

Answer 1

In response to the query, we can state that The p-value, rounded to four probability decimal places, is 0.0056.

What is probability?

Mathematicians use probability theory to determine the chance that an event will occur or a statement is true. A probability of about 0 reflects how probable an event appears to occur, whereas a risk is a value between 0 and 1, where 1 suggests certainty. Probability is a mathematical representation of the likelihood that a specific event will take place. Other ways to express probabilities are as integers between 0 and 1 or as percentages between 0% and 100%. the ratio of events among equally likely options that lead to a certain event to all other outcomes.  

The sample proportions for the first and second populations are respectively p1 = 0.25 and p2 = 0.223. The samples had n1 = 587 and n2 = 251 respectively.

For this sample, the test statistic is provided by:

z is equal to (p1 - p2) / sqrt(p hat * (1 - p hat) * (1/n1 + 1/n2)).

where p hat is the pooled sample proportion and n1 + n2 is the sample size.

When we change the values, we obtain:

z = (0.25 - 0.223) / sqrt(0.236 * (1 - 0.236) * (1/587 + 1/251)) = 2.541

The test statistic, rounded to three decimal places, is 2.541.

, we hunt for the region in the standard normal distribution's right tail that corresponds to a z-score of 2.541. We calculate this area to be 0.0056 using a calculator or a table.

The p-value, rounded to four decimal places, is 0.0056.

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Related Questions

QUESTION 3 Read the extract below and answer the questions that follow. Cape Town- a thirteen-year-old-boy was arrested and released on warning after he was caught on video assaulting an assistant teacher on the body and on head using his closed fists. Published: Dec 7, 2021 By: Siphokazi Vuso The grade 12 pupil from Harmony Primary in Steenberg can be seen on the video assaulting an assistant teacher after she had confiscated a ball from another pupil. Spokesperson Captain Frederick Van Wyk said witnesses tried to keep the learner away from the teacher when he broke loose and assaulted her. He said the boy was arrested on December 3 and was released in the care of his parents on a warning to appear in the Wynberg Magistrate's Court on Wednesday. [Adapted from: https://www.iol.co.za Accessed on 02 January 2023] /15/ 3.1 Define the term 'conflict resolution' and explain how the above situation is an example of bad conflict resolution. (1+2)(3) 3.2 Suggest TWO strategies that learners and teachers could put in place to decrease the culture of violent within their schools.​

Answers

These two situations are examples of poor conflict resolution because they do not offer a space for dialogue between the individuals involved, but rather there is only judgment by law without any mediation.

What is conflict resolution?

Conflict resolution is a term that refers to the ability of individuals to resolve conflicts or differences with others in a peaceful manner agreed upon by all parties involved. In this case, these two examples are not examples of good conflict resolution because there is no space for dialogue between students and teachers, but rather there is only aggression and prosecution before the entities in charge of justice in each country.

Due to the above, we believe that some strategies to end the culture of violence in schools is to spread messages of dialogue and conflict resolution in a peaceful manner. Also, offer workshops for parents so that from home conflict resolution is reinforced through dialogue.

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3x^2+42x+72
Student 1 Student 2
(X+2)(x+12). 3(x+2)(x+12)

Which answer is the correct answer?
What was wrong with that is incorrect? Explain what they did wrong.
What important note can you make about factoring that you’ve learned from mistakes made on this problem?

Answers

Student 1's answer is the correct answer: (x+2)(x+12).

What is expression

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

What is expression and equation?

Expression is a mathematical phrase which combines, numbers, variables and operators to show the value of something. An equation is a mathematical statement wherein two expressions are set equal to each other.

Student 2's answer, 3(x+2)(x+12), is incorrect because they multiplied the factors by 3, which is not necessary and changes the value of the expression.

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Airplane A traveled 1662 miles in six hours.


For Airplane B, y = [tex]\frac{922}{3}x[/tex]


x represents its rate of speed over the same six hours.


Compare the two airplanes to determine which airplane traveled at a faster rate?

Answers

Airplane A traveled at a faster rate. The solution has been obtained by using speed-distance-time relationship.

What is speed-distance-time?

Speed is calculated by dividing the distance traveled by the time needed to complete the journey. Distance and speed are intimately associated but time and speed are not.

We are given that Airplane A traveled 1662 miles in six hours.

We know that Speed = Distance / Time

Using this, we get

⇒Speed = 1662 / 6

Speed = 277 miles per hour

We are given for Airplane B that y = 922/3x , where x represents its rate of speed over the same six hours

So, from this we get,

⇒Speed = (922/3) / 6

⇒Speed = 922 / 18

Speed = 51.22 miles per hour

Hence, Airplane A traveled at a faster rate.

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Ms. Curtis Basham grows pears and plums on her
urban homestead. Two years ago she gathered 40
pounds of pears and 12 pounds of plums. The next
year the
pears declined by 25% and the plums
declined by 20%. By what percentage did the total
yield, by weight, of her fruit harvest decline?
A. 22.5%
B. 24%
C. 45%
D. 76%

Answers

The percentage did the total yield, by weight, of her fruit harvest declined by approximately 24%, which is option B.

what is percentage ?

Percentage is a way of expressing a number or quantity as a fraction of 100. It is often denoted by the symbol % (percent). For example, 50% means 50 out of 100, or 50/100, or the equivalent fraction 1/2.
Percentages are commonly used in many real-world situations, such as in finance, statistics, and everyday life. They are often used to express changes, differences, or ratios between two values.

According to the question:


To solve this problem, we need to calculate the total weight of fruit harvested in the first year and the total weight of fruit harvested in the second year, and then calculate the percentage decline.

Total weight of fruit harvested in the first year = 40 + 12 = 52 pounds

After a 25% decline, the weight of pears in the second year = 40 - 0.25(40) = 30 pounds

After a 20% decline, the weight of plums in the second year = 12 - 0.20(12) = 9.6 pounds

Total weight of fruit harvested in the second year = 30 + 9.6 = 39.6 pounds

Percentage decline in the total yield of fruit harvest = [(52 - 39.6)/52] x 100% = 23.8%

Therefore, the answer is approximately 24%, which is option B.

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Hector is playing a new video game. To get to the next level, he must capture the golden brick and then choose the correct door chance that he chooses the correct door is 40%. The probability that he dos the probability thatHector is playing a new video game. To get to the next level, he must capture the golden brick and then choose the correct door. The chance that he captures the golden brick is 70%. The chance that he chooses the correct door is 40%. The probability that he does both is 20%. Create a Venn Diagram and determine the probability that:


He captures the golden brick and chooses the correct door:


He only captures the golden brick:


He only chooses the correct door:


He doesn’t complete either task:

Answers

The probability that Hector captures the golden brick and chooses the correct door is approximately 0.2, or 20%.

What is probability ?

Probability can be defined as ratio number of favourable outcomes, total number of outcomes.

A represents the event that Hector captures the golden brick (with a probability of 0.7), B represents the event that Hector chooses the correct door (with a probability of 0.4), and C represents the intersection of A and B (the event that Hector captures the golden brick and chooses the correct door, with a probability of 0.2).

The probability of event C can be calculated using the formula:

P(C) = P(A and B) = P(A) * P(B|A)

where P(A) is the probability of event A (capturing the golden brick), and P(B|A) is the conditional probability of event B (choosing the correct door) given that event A has occurred (i.e., Hector has captured the golden brick). We are given that P(A) = 0.7, P(B) = 0.4, and P(A and B) = 0.2, so we can calculate:

P(B|A) = P(A and B) / P(A) = 0.2 / 0.7 ≈ 0.286

Therefore, the probability of event C (capturing the golden brick and choosing the correct door) is:

P(C) = P(A and B) = P(A) * P(B|A) = 0.7 * 0.286 ≈ 0.2

Therefore, the probability that Hector captures the golden brick and chooses the correct door is approximately 0.2, or 20%.

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Write the equation of a circle with a center (9,10) and containing the point on the circle (7,4).

Answers

Answer: The equation of a circle with center (a,b) and radius r is given by:

(x - a)^2 + (y - b)^2 = r^2

In this case, the center is (9,10) and the point on the circle is (7,4). To find the radius, we can use the distance formula between the center and the point on the circle:

r = sqrt((7 - 9)^2 + (4 - 10)^2) = sqrt((-2)^2 + (-6)^2) = sqrt(40)

So, the equation of the circle is:

(x - 9)^2 + (y - 10)^2 = 40

Alternatively, we can also expand the equation to get:

x^2 - 18x + 81 + y^2 - 20y + 100 = 40

Simplifying and rearranging, we get:

x^2 + y^2 - 18x - 20y + 41 = 0

Therefore, the equation of the circle is either (x - 9)^2 + (y - 10)^2 = 40 or x^2 + y^2 - 18x - 20y + 41 = 0.

Step-by-step explanation:

If f(x) = 2x(1-x)^2, then f(1) =
(A) 0
(B) 2
(c) 4
(D) 6
(E) 8

Answers

Answer:

0

Step-by-step explanation:

2(1)*(1-(1))²=0

plug in 0 for everywhere you see x

In a blueprint, each square has a side length of 14
inch.



a. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom?

It would cost $
to tile the bathroom.

b. Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?

Answers

Step-by-step explanation:

1 blue square on drawing is length 1/4 in but that means 4ft in reality.

so one blue square area correspongs to 4x4 = 16 square feet.

(a) there 6 tiles for the batrhroom = 6x16 sq.ft = 96 sq.ft and the cost will be $480

(b) bedroom + living area = 7x8-8 tiles = 48 tiles = 48 x 16 sq.ft. = 768 sq.ft = 85.33 sq. yards. So the cost will be 85.33*18=$1535.94

(c) unit cost for tile: $5/sq.ft

unit cost for carpet: $1535.94/768sq.ft = $2/sq.ft

The tile has a greater unit cost ($5 per sq.ft) than carpet ($2 per sq.ft)

Tiling the bathroom would cost $25. The price of five squares of tile, or the cost of tiling the bathroom, is: $5 x 5 squares is $25.

How much would it cost to tile the bathroom?

a. To calculate the cost of tiling the bathroom, we must first calculate its square footage. Assume the restroom measures 8 feet by 10 feet. We now have the area of:

960 square inches are equal to 8 feet by 12 inches per foot and 10 feet by 12 inches per foot.

The area of the bathroom can be divided by the area of each square, which is 14 inches on the blueprint, to determine the number of squares required:

14 inches by 14 inches divided by 960 square inches equals 4.96 squares.

As we are unable to purchase a fractional quantity of tile, we will round up to 5 squares.

The price of five squares of tile, or the cost of tiling the bathroom, is:

$5 x 5 squares is $25.

Consequently, tiling the bathroom would cost $25.

How much would it cost to carpet the bedroom and living room?

b. To calculate the cost of carpeting the bedroom and living room, we must first calculate the square footage of each space. Assume that the living room is 18 feet by 20 feet and the bedroom is 12 feet by 14 feet in size. These areas include:

Bedroom: 168 square feet (12 feet by 14 feet).

The living room is 360 square feet (18 feet by 20 feet).

Divide by 9 to convert square feet to square yards:

Bedroom 168 sq ft / 9 sq ft = 18.67 sq ft

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The polynomial of degree 4, P(x) has a root of multiplicity 2 at a = 2 and roots of multiplicity 1 at
x = 0 and x = -3. It goes through the point (5,36).
Find a formula for P(x).
P(x)

Answers

Answer:

the answer is px and at ako

The graph shows the cube root parent function

Answers

A is the correct answer. Any x value that is negative, the function value is negative. You can test this by observing -2^3. Hipe this helps

tommmy earns $140 in interest after 5 years on a pricipal of $400 jane earned $132 after 4 years on principal of $600 use the intrest rate to justify which bank would you rather use tommys or janes

Answers

Comparing the interest rates of Jane and Tommy, we can say that Tommy's bank is better because he earns more amount of money for less principal amount.

What is meant by the interest rate?

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Given,

Interest earned by Tommy SI = $140

Time t = 5 years

Principal amount P = $400

Interest earned by Jane SI = $132

Time t = 4 years

Principal amount P = $600

Simple interest SI = (P × r × t)/100

where r = interest rate

For Tommy,

140 = ( 400 × r × 5) /100

r = 7%

For Jane,

132 = ( 600 × r × 4) / 100

r = 5.5%

Therefore comparing the interest rates of Jane and Tommy, we can say that Tommy's bank is better because he earns more amount of money for the less principal amount.

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what is the property to 3(4+n)=12+3n

Answers

Add me and I tell you

Identify the solution for the system of equations and explain its meaning using the context from the real-world problem.
I GOT THE ANSWER BUT I NEED THE EXPLANATION

Answers

The linear equation in this situation is y=20x which will have its solution as per the values of 'x'.

Explain about the System of Linear Equations?A collection of more that two linear equations is known as a system of linear equations. It's possible for a linear equation to have a number of variables.There are numerous uses for a system of linear equations. Real-world problem like assessing cost, distance, lifespan, profit, etc., as an example. Every unknown quantity can be found for a given quantity by using it.

For instance, the cost of a good for a certain amount can be determined using a linear equation.

If a unit of a single product costs $20, the equation would be y=20x.In this case, x is the quantity of items and y is the price.

The linear equation in this situation is y=20x.

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Which graph represents the solution to the inequality 0.5 is greater than or equal to the product of a number and −0.25?
A. number line with closed circle on 0.5 with arrow shaded right
B. number line with open circle on point on negative 0.5 with arrow shaded left
C. number line with closed circle on negative 2 with arrow shaded right
D. number line with open circle on 2 with arrow shaded left

Answers

Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.

What is inequality?

An inequality is a comparison relationship between two or more mathematical expressions.

We are given an inequality as 0.5 is greater than or equal to the product of a number and −0.25.

Let the number be x.

So, from the above information, we get the inequality as

0.5 ≥ -0.25x

Now, on solving the above inequality, we get the following

0.5 ≥ -0.25x

On multiplying by -1, we get

⇒-0.5 ≤ 0.25x

On dividing both sides by 0.25, we get

-2 < x

Hence, Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.

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is 5x=7y linear equation

Answers

Yes, 5x=7y is a linear equatiοn.

What is linear equatiοn?  

First οrder equatiοns include linear equatiοns. In the cοοrdinate system, the linear equatiοns are defined fοr lines. A linear equatiοn in οne variable is οne in which there is a hοmοgeneοus variable οf degree 1 (i.e., οnly οne variable). Multiple variables may be present in a linear equatiοn. Linear equatiοns in twο variables, fοr example, are used when a linear equatiοn cοntains twο variables.

Linear equatiοn is an algebraic equatiοn in οne οr mοre variables where the pοwer οf each variable is less than οr equal tο 1.

Fοr example,

y = mx + c , an equatiοn in this fοrm can be called as linear equatiοn.

Sο in equatiοn 5x = 7y

We can write this equatiοn as 7y = 5x + 0.

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How does the diagram show that x + 4 has the same value as 17 which part of diagram shows the quantity x

Answers

Using Algebraic equations, The diagram might also show other values or quantities related to the equation, depending on the specific context or purpose of the diagram.

What are algebraic equations?

Algebraic equations are mathematical statements that involve one or more variables, as well as constants and mathematical operations such as addition, subtraction, multiplication, and division. An algebraic equation usually has an equals sign (=) that separates the two sides of the equation. The goal of an algebraic equation is to find the value of the variable that makes the equation true.

For example, the equation x + 3 = 7 is an algebraic equation that involves the variable x. The goal is to find the value of x that makes the equation true. In this case, we can solve the equation by subtracting 3 from both sides, which gives us x = 4.

Algebraic equations can be used to model a wide variety of real-world situations, such as the relationship between the price and quantity of goods sold, the growth rate of a population, or the amount of interest earned on an investment. They are a fundamental tool in many branches of mathematics, science, engineering, and economics, and they are also used extensively in computer programming and data analysis.

Without a specific diagram to refer to, it's difficult to provide a specific answer. However, I can provide a general explanation of how a diagram might show that x + 4 has the same value as 17 and how it might indicate the quantity x.

One way a diagram might represent this equation is through the use of a balance or scale. For example, the diagram might show a balance with a weight of 17 on one side and a weight of x + 4 on the other side. If the balance is level, it indicates that the weight of x + 4 is equal to the weight of 17, which means that x + 4 has the same value as 17.

To indicate the quantity x, the diagram might show a box or symbol on the side of the balance representing x + 4. This box might have a label or caption indicating that it represents x + 4. By subtracting 4 from both sides of the equation, we can determine that x is equal to 13, which would be the value of x that the diagram is representing. The diagram might also show other values or quantities related to the equation, depending on the specific context or purpose of the diagram.

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Help me I dont know the answer

Answers

Answer: the length is 6

Step-by-step explanation:

3+3+6+6=18

3x6=18

If the sum of the measures of the three angles shown is 163
, what is the measure of

Answers

Answer:

See below.

Step-by-step explanation:

We are asked to find the measure of ∠CEB.

We already know that the 3 angles combined have a total sum of 163°.

Let's set the 3 angles equal to 163°.

[tex]x-10+4x +2x+5=163[/tex]


Now, we should Combine Like Terms.

What is Combining Like Terms?

Combining Like Terms is adding, or subtracting together 2 or more numbers or variables that are alike.

For example, if we were given the expression;

[tex]5x + 3 - 2x + 9[/tex]

We should combine 5x and 2x, 3 and 9 since they are like terms.

For our equation;

[tex]x-10+4x +2x+5=163[/tex]

We should combine x, 4x, and 2x. We also should combine -10, 5, and 163.

Afterwards, we should have:

[tex]7x=168[/tex]

Simplify:

[tex]x= 24[/tex]

Substitute 24 within the value of x in the given expression for ∠CEB.

Substitute:

[tex]-10 + 4(24) = 86[/tex]

The measure of ∠CEB = 86°

From the candy factory, Stattles candies come in five different colors that are equally distributed (20% orange), and each 14 ounce bag has a random sample of 220 of Stattles.

a. Find the mean and standard deviation of the sampling distribution of p
b. Calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag.

Answers

a. The mean of the sampling distribution is 0.2 and the standard deviation is 0.027. b. The probability that Cindy will get at least 48 orange Stattle is approximately 0.0901.

What is the binomial distribution's normal approximation?

A method for estimating the probability of a binomial distribution using a normal distribution is known as the normal approximation to the binomial distribution. When the sample size is sizable and the success probability is not too close to 0 or 1, it can be employed. To utilise this approximation, we must first get the binomial distribution's mean and standard deviation, then normalise the distribution using the z-score calculation.

As 20% of the candies are orange, the mean of the sampling distribution of p is equal to the population percentage, which is 0.2.

The standard deviation of the sampling distribution of p can be found using the formula:

σp = sqrt((p * (1 - p)) / n)

Substituting the values:

σp = sqrt((0.2 * 0.8) / 220) = 0.027

So the mean of the sampling distribution is 0.2 and the standard deviation is 0.027.

b. Let X be the number of orange Stattles in the bag.

The z-score is given as:

z = (X - μ) / σ

z = (48 - 44) / 2.974 = 1.34

So the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is approximately 0.0901.

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Is this line proportional or non-proportional

Answers

proportional because it goes up by the same amount each time

What is 2^-2 equal to?

A. -4

B. -1/16

C. 1/4

D. 1/2

Answers

Answer:

best of my knowledge hope its right -4

Step-by-step explanation:

7. What is the order of these numbers from least to greatest?
2.7 x 10³, 2.3 x 10¹¹, 6.5 x 10¹2, 4.8 x 10²1
21

Answers

The order of these numbers from least to greatest is 2.7 x 10³, 2.3 x 10¹¹, 6.5 x 10^12, 4.8 x 10^21

What are index forms?

Index forms are simple described as the mathematical expressions or models used to represent numbers that are large or small in more appropriate ways.

They are also termed as scientific notations or standard forms.

Examples of index forms are;

2³ = 8

2 ² = 4

3 ³ = 27

From the information given, we have that;

2.7 x 10³

This is represented as; 2.7 × 10 × 10 × 10

Multiply the values

2700

2.3 x 10¹¹

This is represented as 2. 3 multiply by 10 in 11 times

6. 5× 10^12

This is represented by 6.5 multiplied by 10 in 12 places

4.8 × 10^21

This is represented by 4.8 multiplied by 10 in 21 places.

Hence, the exponent shows the greatest number

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Look at this series: 12, 11, 13, 12, 14, 13, … What number should come next?

Answers

series: 12, 11, 13, 12, 14, 13, … What number should come next? i believe its 12

12-11=1

13-11=2

So to get 11 you subtract 1 from 12 and to get 13 you add 2 to it

If you follow that procedure the next number should be 15 if you add 2 to 13

fx=x square -4 find codomain​

Answers

So, the codomain of the function is the set of all real numbers: codomain = R.

What is function?

In mathematics, a function is a rule that maps a set of inputs (domain) to a set of outputs (codomain) in such a way that each input is associated with exactly one output. A function can be represented using various notations, including equations, graphs, and tables. A function can be thought of as a machine that takes an input and produces an output. The input is usually represented by the variable x, and the output is represented by the variable y. The relationship between the input and output is defined by the function rule. Functions are used in many areas of mathematics, science, and engineering to describe various phenomena, such as motion, growth, and decay. They are also used to model and analyze data in statistics and economics, and to design and control systems in engineering and computer science.

Here,

The codomain is the set of all possible output values of a function.

For the given function, f(x) = x² - 4, we can see that the output values are obtained by squaring the input value, subtracting 4, and therefore can be any real number.

To find the codomain of the function f(x) = x² - 4, we need to determine the range of the function, which is the set of all possible output values.

Let y = f(x) = x² - 4.

To find the range, we need to solve for y:

y = x² - 4

y + 4 = x²

Taking the square root of both sides, we get:

x = ±√(y + 4)

Therefore, the range of the function is the set of all real numbers greater than or equal to -4, since y + 4 must be non-negative for real values of y:

range = {y | y + 4 ≥ 0} = {y | y ≥ -4}

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If the Owner of a restaurant bought 75 kilograms of rice and each week the restaurant uses 4.5 kilograms of rice how much rice will be left after 6 weeks

Answers

After 6 weeks there will be 58 kg rice be left.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The Owner of a restaurant bought 75 kilograms of rice.

And, Each week the restaurant uses 4.5 kilograms of rice.

Now,

After 6 weeks used rice is,

⇒ 4.5 × 6 kg

⇒ 27 kg

Hence, After 6 weeks there will be rice be left is,

⇒ 75 - 27 kg

⇒ 58 kg

Thus, After 6 weeks there will be 58 kg rice be left.

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Please help with this problem

Answers

On  the number line, the points that represent the values of x in - 1 < x < 3 are:

012

What are the values of x ?

The expression given is - 1 < x < 3 which means that x is any whole number that is greater than - 1 but less than 3. This means that on the number line given, the value of x would be any number that is more than - 1 but less than 3.

These numbers will include 0, 1, and 2. The line should therefore begin at -1 and go to 3 to show the values of x in - 1 < x < 3 . The line to use should be the open circle which shows greater than or less than

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A skateboard ramp is 4.1 feet high and 6 feet long along the horizontal. To the nearest
tenth of a degree, what is the measure of the angle that the ramp makes with a
horizontal line?
34.3°
55.7°
90°
46.9⁰

Answers

Answer: :)

Step-by-step explanation:

To find the angle that the ramp makes with a horizontal line, we need to use trigonometry. The angle we are looking for is the angle between the ramp and the ground, which is the same as the angle between the hypotenuse of a right triangle (the ramp) and its adjacent side (the ground).

We can use the tangent function to find this angle:

tan(theta) = opposite/adjacent

In this case, the opposite side is the height of the ramp (4.1 feet) and the adjacent side is the length of the ramp along the ground (6 feet). So we have:

tan(theta) = 4.1/6

Using a calculator, we can solve for theta:

theta = tan^-1(4.1/6)

theta ≈ 34.3°

Therefore, to the nearest tenth of a degree, the measure of the angle that the ramp makes with a horizontal line is 34.3°.

What is the area of this shape

Answers

Answer:45

Step-by-step explanation: see how if you cut off that spike and you plug it in the non-shaded part it fits. Now you’ve got yourself a rectangle so the area is 3+2= 5 x 9= 45

11. Suppose Britta only paid the interest during her 2 years in school and the
6-month grace period. What will she pay in interest over the term of her loan

Answers

Accordingly, if Britta only paid the interest during her two years of education, she would accrue about $33,782 in interest over the course of her loan.

what is interest ?

The sum of money that a borrower must give a lender as interest is compensation for the use of borrowed funds. It is typically computed as a percentage of the principal, which is the amount borrowed, and is repaid alongside the principal over a predetermined amount of time. The cost of the lender, the likelihood of a default, and the desire for credit in the economy are just a few of the variables that affect the interest rate, or the percentage charged for borrowing the money.

given

We can use the following method to determine the total interest paid:

Principal x Interest Rate x Duration equals total interest.

where Principal denotes the sum borrowed, Interest Rate denotes the annual interest rate (in decimal form), and Time denotes the number of years over which interest will accrue.

Assume Britta took out a $50,000 loan to pay for her schooling.

Therefore, the amount of her loan at the conclusion of that time frame would be:

$50,000 x 1.06^2 = $56,420

The interest that will be charged on this balance for the remaining 10 years and 6 months of the loan period needs to be calculated now. Using the above method, we obtain:

$56,420 multiplied by 0.06 times 10.5 equals the total interest, or $33,782.

Accordingly, if Britta only paid the interest during her two years of education, she would accrue about $33,782 in interest over the course of her loan.

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question in the picture below

Answers

The two fractions' sum is therefore (a + b) / (a² × b²).

What in math is a sum?

A sum, usually referred to as a summation, is the product of combining two or more quantities or numbers. A summation always has an even term count. It could be two terms simply, or it might total 100,000 or a million. Many terms can be included in some summations.

We require a common denominator in order to add these two fractions.

The first fraction's denominator is a² × b, and the second fraction's denominator is a × b².

Get the supreme strength of each component that exists in either denominator, then utilize the result of these factors to determine the least frequent multi of these two denominators:

LCM (a² × b, a × b²) = a² × b²

The two fractions can now be rewritten using the following common denominator:

1/(a² × b) + 1/(a × b²) = (1 × b + 1 × a) / (a² × b²)

If we condense this phrase, we get:

1/(a² × b) + 1/(a × b²) = (a + b) / (a² × b²)

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