PLEASE ANSWER WITH SOLUTION PLS
1. A student scored 235 marks in the examination out of 300 marks. Calculate the percentage of marks secured by the student.

2. In an election, Magie N. Hawa got 70% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560, find the number of valid vote polled in favour of Magie N. Hawa.

3. there are 108 girls in a school. 70% of the pupils in the school are boys. How many pupils are there in the school altogether?

Answer:

See below.

Step-by-step explanation:

So first, we can separate the entire figure into a semi-circle and an isosceles triangle.

AREA:

The area for a semi-circle is \(\frac{1}{2}\pi r^2\).

The diameter is 8cm, so the radius is 4cm.

Area of the semi-circle is:

\(\frac{1}{2}(4)^2\pi=\frac{1}{2}(16\pi)=8\pi cm^2\)

The area for a triangle is \(\frac{1}{2}bh\).

The base is the same as the diameter (8), and we are given the height as 10. Thus:

\(\frac{1}{2} (8)(10)=8(5)=40cm^2\)

The total area is \((8\pi +40 )cm^2\)

PERIMETER:

The perimeter of a semicircle is: \(\pi r + 2r\) (this is derived from dividing the circumference by 2 and then adding on the diameter).

Thus, the perimeter is:

\(4\pi +8\)

However, we ignore the 8 since the 8 is not part of the perimeter.

The perimeter of the triangle is the two slant lengths. We know the base and the height, so we can use the Pythagorean Theorem:

\(a^2+b^2=c^2\)

\(4^2+10^2=c^2\)

\(c^2=116\)

\(c=\sqrt{116}=2\sqrt{29\)

Two of them will be \(4\sqrt{29}\)

Thus, the total perimeter is \(4\pi + 4\sqrt{29}\)

Answer:

Hey there!

g(x) is 4x-1

f(g(x) is f(4x-1)

f(4x-1)=2(4x-1)-5

f(4x-1)=8x-2-5

f(4x-1)=8x-7

The answer is 8x-7

Let me know if this helps :)

The natural numbers are "closed" under addition and multiplication. ... The subtraction of two natural numbers does NOT necessarily create another natural number (3 - 10 = -7). The division of two natural numbers does NOT necessarily create another natural number (1 ÷ 2 = ½). not closed under subtraction and division.

Part A: Therefore, the cake weighs 112 ounces. Part B: Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

Part A:

To convert pounds to ounces, we can use the conversion factor: 1 pound = 16 ounces.

Given that the cake weighs 3 (4/1) pounds, we can calculate the weight in ounces as follows:

3 4/1 pounds = 3 pounds + 4/1 pounds = 3 pounds + 4 pounds = 7 pounds

Converting 7 pounds to ounces: 7 pounds × 16 ounces/pound = 112 ounces

Therefore, the cake weighs 112 ounces.

Part B:

To convert gallons to pints, we can use the conversion factors: 1 gallon = 4 quarts and 1 quart = 2 pints.

Given that the running tap dispenses 0.15 gallons of water every second, we can calculate the amount of water dispensed in pints as follows:

0.15 gallons × 4 quarts/gallon × 2 pints/quart = 0.15 × 4 × 2 = 1.2 pints

Therefore, after 20 seconds, the tap will dispense 20 seconds × 1.2 pints/second = 24 pints of water.

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(a) The P-value for z0​=1.91 is 0.028.

(b) The P-value for z0​=−1.79 is 0.036.

(c) The P-value for z0​=0.33 is 0.370.

To calculate the P-value for each of the given test statistics, we need to compare them with the critical values of the standard normal distribution. Since the alternative hypothesis is μ<3, we are interested in the left tail of the distribution.

In hypothesis testing, the P-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming that the null hypothesis is true. A smaller P-value indicates stronger evidence against the null hypothesis.

For (a) z0​=1.91, the corresponding P-value is 0.028. This means that if the true population mean is 3, there is a 0.028 probability of observing a sample mean as extreme as 1.91 or even more extreme.

For (b) z0​=−1.79, the P-value is 0.036. In this case, if the true population mean is 3, there is a 0.036 probability of observing a sample mean as extreme as -1.79 or even more extreme.

For (c) z0​=0.33, the P-value is 0.370. This indicates that if the true population mean is 3, there is a relatively high probability (0.370) of obtaining a sample mean as extreme as 0.33 or even more extreme.

In all cases, the P-values are greater than the conventional significance level (α), which is typically set at 0.05. Therefore, we fail to reject the null hypothesis and do not have sufficient evidence to conclude that the population mean is less than 3.

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Answer:

4.35 or 87/20

Step-by-step explanation:

try desmos scientific calculator to help with other question.

A common everyday counting unit that is used to mean 12 of an object is a Dozen

Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.

Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."

Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.

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The linear model for the snow (S) in terms of hours (h) during the snowstorm is S = 2h + 8, where S represents the snow in inches and h represents the number of hours since the start of the snowstorm.

To write a linear model for the snow (S) in terms of hours (h) during the snowstorm at the ski resort, we can use the information given:

The initial amount of snow on the ground when the snowstorm began is 8 inches.

The snow is falling at a rate of 2 inches per hour.

Based on this information, we can establish the following linear relationship:

S = 2h + 8

In this linear model, 'S' represents the amount of snow in inches, and 'h' represents the number of hours since the start of the snowstorm. The coefficient of 'h' is 2, representing the rate of snowfall per hour. The constant term 8 represents the initial amount of snow on the ground before the snowstorm started.

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Answer:18 ft.

Step-by-step explanation:

6+6+3+3=18.

To determine the expression that represents the length of the football field, let's analyze the given information.

The length of the football field is stated to be 7 feet shorter than triple the width. Let's represent the width with the variable 'n'.

Triple the width would be 3n. To account for the 7 feet shorter length, we subtract 7 from triple the width.

Hence, the expression that gives the length of the football field is:

3n - 7

Option (b) in the given choices, "3n - 7", matches this expression and correctly represents the length of the football field

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The solution set of the given equation is {(-1,-8),(3,4),(8,19)}.

The set of ordered pairs that make up the solution to an equation with two variables is referred to as the solution set.

In mathematics, a function's domain is the collection of possible inputs it will accept.

Given equation is 2y = 6x - 10 and domain is {-1, 3, 8}

We can also write the given equation is

y =(6x-10)/2      ------------equation 1

As we know, domain is considered as the value of x,

Consequently, if we enter x = -1 in equation 1, we will receive

y = (-16)/2

y = -8

Similarly put x = 3 in equation 1, we will get

y = 8/2

y = 4

Similarly put x = 8 in equation 1, we will get

y = 38/2

y = 19

By combining the values of x and y, we get

The solution set of the given equation is {(-1,-8),(3,4),(8,19)}.

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The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.

What is Standard Deviation?

It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

To find the approximate wait time for the fastest 4% of passengers, we need to use the normal distribution and the inverse normal distribution function.

The normal distribution is a continuous probability distribution that is symmetrical around the mean, and is defined by the mean and standard deviation. In this case, the mean wait time for passengers with global entry is 40 minutes and the standard deviation is 12 minutes.

The inverse normal distribution function is a mathematical function that takes a probability as input and returns the corresponding value from the normal distribution. In other words, it allows us to find the value that corresponds to a given percentile of the normal distribution.

To find the wait time for the fastest 4% of passengers, we need to find the value that corresponds to the 4th percentile of the normal distribution. To do this, we can use an inverse normal distribution calculator or a normal distribution table.

Plugging in the mean and standard deviation of the wait time and the percentile of 4, we get a value of approximately 29.29 minutes. This is the wait time for the fastest 4% of passengers.

So, The approximate wait time for the fastest 4% of passengers is approximately 29.29 minutes.

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Answer:

  1.75%

Step-by-step explanation:

The monthly interest rate is the interest amount divided by the base on which it is computed, expressed as a percentage.

  $4.96/$283.15 × 100% ≈ 1.75172% ≈ 1.75%

Answer:

To ensure aesthetic design and stability in a structure, it is important to start with a solid foundation and a well-designed framework that can support the weight and load of the building. Additionally, choosing high-quality materials, proper construction techniques, and good engineering practices can help ensure that the building is structurally sound and aesthetically pleasing. It is also important to consider factors such as natural lighting, air flow, and sustainability when designing a building, as these can have a significant impact on both the structure's visual appeal and its overall stability.

Making radical changes in one's life is not always necessary to help others. Sometimes, even small acts of kindness and generosity can make a big difference in someone's life. Responding to the needs of others can be as simple as lending a listening ear, offering a helping hand, or donating to a worthy cause. Volunteering one's time, skills, or resources can also be a meaningful way to help others and make a positive impact in the community. Ultimately, the key to helping others is to be open-hearted, empathetic, and willing to take action when the opportunity arises.

Answer:

y = 1/2(x) + 6

Step-by-step explanation:

The slope-intercept equation of a line is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. In this case, so far, we're given the y-intercept as 6.

Next, to find the slope, we use the formula \(\frac{y_2-y_1}{x_2-x_1}\) and plug in values of the two points.

Therefore, the equation is y = 1/2(x) + 6.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

4x + 10y = 36  ≡  to 2x + 5y = 18

As you can see, the the coefficients on the first one are double those in the second.

12x - 9y = -60  ≡  to -4x + 3y = 20

In this case, the terms in the first one are all the same, but multiplied by -3

And by simple elimination we can say:

-24x - 8y = 40 ≡ -6x - 2y = 10

In this case, the terms of the first equation are equal to those of the latter, but all multiplied by 4.

Answer:

Step-by-step explanation:

The function f(x) is approximated near x=0 by the second degree Taylor polynomial P2(x)=3x−5+6x^2, the values of f(0) = -5 f'(0) = 3 and f''(0) = 12

The values of f(0), f'(0), and f''(0) are as follows:

f(0) = P2(0) = -5

f'(0) = P2'(0) = 3

f''(0) = P2''(0) = 12

To understand why these values hold, we need to recall the definition of the second degree Taylor polynomial. The second degree Taylor polynomial P2(x) of a function f(x) is given by:

\(P2(x) = f(0) + f'(0)x + (1/2)f''(0)x^2\)

where f(0), f'(0), and f''(0) are the values of the function and its first two derivatives evaluated at x = 0.

In this case, we are given that the second degree Taylor polynomial of f(x) near x = 0 is\(P2(x) = 3x - 5 + 6x^2.\) Comparing this with the general form of P2(x), we can see that:

f(0) = -5

f'(0) = 3

f''(0) = 12

Therefore, the value of the function at x = 0 is -5, the value of its first derivative at x = 0 is 3, and the value of its second derivative at x = 0 is 12.

To further understand the meaning of these values, we can consider the behavior of the function near x = 0. The fact that f(0) = -5 means that the function takes a value of -5 at the point x = 0. The fact that f'(0) = 3 means that the function is increasing at x = 0, while the fact that f''(0) = 12 means that the rate of increase is accelerating. In other words, the function has a local minimum at x = 0.

Overall, the values of f(0), f'(0), and f''(0) give us information about the behavior of the function f(x) near x = 0, and the second degree Taylor polynomial P2(x) provides an approximation of this behavior.

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Shaping modifies behavior through reinforcement and extinction, while planned ignoring is an effective strategy with limitations.

Shaping is a behavior modification technique that involves reinforcing behaviors that are closer and closer to the desired target behavior. Instead of waiting for the complete behavior to occur, shaping allows for gradual progress by reinforcing successive approximations.

For example, in dog training, shaping can be used to teach a dog to roll over. Initially, the trainer may reinforce the dog for lying down, then for turning its head, then for rolling partially, until the dog eventually performs a full roll. This demonstrates how shaping breaks down a complex behavior into manageable steps.

Reinforcement and extinction are integral to the shaping process. Reinforcement involves providing rewards or positive consequences to strengthen and increase the frequency of desired behaviors.

In shaping, reinforcement is used to reward each successive approximation, encouraging the individual or animal to continue moving towards the target behavior.

On the other hand, extinction is the process of eliminating undesired behaviors by withholding reinforcement. By no longer providing rewards for an undesirable behavior, the behavior gradually decreases and eventually becomes extinct.

Planned ignoring is a strategy that can be effective in extinguishing undesirable behavior. It involves deliberately withholding attention or reinforcement when the undesired behavior occurs.

For example, a parent might choose to ignore a child's tantrum to discourage its recurrence. This approach works by removing the reinforcing element of attention, causing the behavior to diminish over time.

However, planned ignoring may not be appropriate in situations where immediate intervention or safety concerns are involved, as it relies on the absence of reinforcement and may prolong undesirable behaviors in certain cases.

In the context of a Christian walk, shaping can be understood as God's influence and guidance in shaping thoughts and behaviors. Through teachings, scripture, prayer, and spiritual growth, individuals are guided towards conforming to godly principles and values.

God shapes our character, molds our perspectives, and helps us develop behaviors that align with His will. It is through the process of learning and growing in faith that our thoughts and behaviors are transformed to reflect the teachings of Christ.

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Step-by-step explanation:

100% = 4.25

1% = 100%/100 = 4.25/100 = 0.0425

how many % are 3.4 ?

we find this by calculating how often 1% (0.0425) fits into 3.4.

3.4 / 0.0425 = 80 %

Answer: 80%

Step-by-step explanation: took in the k-12 test

a) About two in three years, your return should fall inside the range of -32.3% to 53.7%

b) About one in twenty years, your return should fall outside the range of -96.4% to 117.8%

c) About one in two hundred years, your return should be greater than 87.7%.

a) About two in three years, your return should fall inside the range of (10.7% - 21.5%) to (10.7% + 21.5%) percent

.Lower Range = 10.7% - (21.5% * 2) = -32.3%

Upper Range = 10.7% + (21.5% * 2) = 53.7%

Hence, About two in three years, your return should fall inside the range of -32.3% to 53.7%

b) About one in twenty years, your return should fall outside the range of (10.7% - 43%) to (10.7% + 43%) percent.

Lower Range = 10.7% - (43% * 2.8) = -96.4%

Upper Range = 10.7% + (43% * 2.8) = 117.8%

Hence, About one in twenty years, your return should fall outside the range of -96.4% to 117.8%

c) About one in two hundred years, your return should be greater than 10.7% + (21.5% * 3.29) = 87.7%

Hence, About one in two hundred years, your return should be greater than 87.7%.

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The requried, 58.33% of a 14K gold ring is real gold.

To find the percentage of a 14K gold ring that is real gold, we can use the formula:

percentage = (part/whole) x 100

In this case, the "part" is the number of parts that are real gold, which is 14. The "whole" is the total number of parts, which is 24.

So the percentage of real gold in a 14K gold ring is:

percentage = (14/24) x 100 = 58.33%

Therefore, approximately 58.33% of a 14K gold ring is real gold.

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In summary solution for this question  the value of x is 10.

Angles u and v are complementary, which means their measures add up to 90 degrees.

Given:

Angle u = 3x + 4

Angle v = 56

To find the value of x, we can set up an equation using the fact that the sum of the angle measures is 90 degrees:

Angle u + Angle v = 90

Substituting the given values:

(3x + 4) + 56 = 90

Now, we can solve for x:

3x + 4 + 56 = 90

3x + 60 = 90

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Therefore, the value of x is 10.

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Answer: The answer is D . The graph

Step-by-step explanation: It was the answer given on Edge.

Answer:

d

Step-by-step explanation:

Probability that the senator will either be a republican or will have voted against the bill = \(\frac{53}{100}\)

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Number of republicans = 21  + 22 = 43

Number of voters who voted against the bill = 22  + 9  +1 = 32

Number of republicans who voted against the bill = 22

Total number of voters = 21 + 22  + 42 + 9 + 5 + 1 = 100

Probability that the senator will either be a republican or will have voted against the bill =

                         \(\frac{43 + 32 - 22}{100}\\\frac{53}{100}\)

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Complete Question

The table has been attached here

Suppose that today the exchange rate between the u.s. dollar and the chinese yuan is $1 =.12 yuan. if next week the exchange rate is $1 = .20 yuan, it is clear that yuan has depreciated relative to dollar.

What is meant by the exchange rate?

Last week: $1 = 0.12 yuan

Therefore, for exchange of $1, 0.12 yuan will be given

Today: $1 = 0.2

Therefore, for exchange of $1, 0.2 yuan will be given.

So, yuan will be given for same amount of $. Thus yuan has depreciated.

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Answer:

3 gallons

Step-by-step explanation:

Divide 5 by 100 to find how many gallons it takes for one mile:

5÷100=0.05

multiply 0.05 by 60:

0.05×60= 3

Numeric data can be used to present facts, show relationships between variables, and support an argument.

Numeric data is a powerful tool that can be used to present facts, demonstrate relationships between variables, and support an argument. It is often used to provide evidence for a particular point of view, and it can be used to persuade an audience or inform them about a particular topic. Numeric data can be presented in various forms such as graphs, tables, and charts, and when used effectively, it can be a very effective tool for conveying information. It is important to understand how to interpret numeric data correctly, as it can be used to draw false conclusions if the data is misinterpreted.

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The game in the context of this problem is a fair game, as the probability of winning the game is the same as the probability of losing the game.

The parameters that are needed to calculate a probability are given as follows:

The total number of outcomes in this problem is given as follows:

16.

(as the trees end up at 16 nodes).

Out of the 16 outcomes, we have that the results are given as follows:

Hence the probabilities are given as follows:

As the probabilities of win and of loss are the same, the game is a fair game.

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Answer:

DU = 34

QU = 30

Step-by-step explanation:

DU = 34 since the diagonals of a rectangle are congruent, Diagonal QA would be 17 * 2 and so would be Diagonal DU.

QU = 33.045, according to me the base of a triangle;

b = \(2\sqrt{l^2-h^2}\), height would be half the length of QD = 8

b = 2\(\sqrt{17^2 -8^2}\)

b = 30

Hope this helps!