WILL MARK BRAINLIEST

Nilsa is working on a 60-minute math test. There are 20 questions on the test. If it takes her 20 minutes to complete 12 of the questions, what is the greatest amount of time on average she can spend on each of the remaining 8 questions?

Answer:

24°

Step-by-step explanation:

cos ? = 41/45

? = arccos 41/45

? = 24

Answered by GAUTHMATH

Answer: 76 students

Step-by-step explanation:

Number of students surveyed = 120

Students who 66 ride yellow bus= 66

Students ride city bus = 24

Students who do not ride a bus = 30.

The fraction of students who ride the city bus will be:

= 24/120

= 1/5

Since the total population of the students is 380, the qpproximate for the total number of students that ride the city bus will be:

= 1/5 × 380

= 76 students

The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:

Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.

Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.

For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.

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Answer:

1. (-31/3)+1/2

-62+3/6

-59/6

9.83

Answer:

Bdgetyeyreg2qqwwwe 32233

The interior of a regular 6-sided polygon, that is a hexagon is 120 degrees. Therefore, the correct option is option (a) 120 degrees.

The sum of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n-2) x 180 degrees

For a regular polygon, all the interior angles have the same measure.

So, for a regular 6-sided polygon (hexagon), we have:

Sum of interior angles = (6-2) x 180 degrees = 4 x 180 degrees = 720 degrees

To find the measure of each interior angle, we divide the sum of interior angles by the number of sides:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 720 degrees / 6 = 120 degrees

Therefore, the interior angle of a hexagon is 120 degrees.

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Answer:

misstype?

Step-by-step explanation:

Answer:

Mistype?

Step-by-step explanation:

(a) The probability of drawing 2 Jack cards and 1 King card from a randomly shuffled deck of cards is 0.096.

(a) To calculate the probability of drawing 2 Jack cards and 1 King card, we first determine the number of ways to choose 2 Jacks and 1 King from the deck (4 Jacks and 4 Kings available). The total number of ways to choose 3 cards from the deck is the combination of 52 cards taken 3 at a time. Dividing the number of favorable outcomes by the total number of possible outcomes gives us the probability of 0.096.

(b) To calculate the probability of drawing 3 cards of the same type, we consider the four types of cards (hearts, diamonds, clubs, and spades). For each type, there are 13 cards available. We need to choose 3 cards of the same type from each set. The probability is calculated by summing the probabilities of choosing 3 cards of the same type for each set, resulting in 0.055.

(c) To calculate the probability of drawing at least 2 aces, we consider the two cases: drawing exactly 2 aces and drawing all 3 aces. The probability of drawing exactly 2 aces is calculated by choosing 2 aces from the 4 available and choosing the third card from the remaining 49 cards. The probability of drawing all 3 aces is calculated by choosing all 3 aces from the 4 available. Adding these two probabilities gives us the probability of 0.147 for drawing at least 2 aces.

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Answer:

C. p -> q

Step-by-step explanation:

Just did this on Edge2020. Hope this helps :)

Use differentials to estimate the amount of metal in a closed cylindrical can with diameter 10 cm and height 15 cm if the metal is 0.1 cm thick.Therefore, the estimated amount of metal in the can is 0.001416.

To estimate the amount of metal in a closed cylindrical can with diameter 10 cm and height 15 cm if the metal is 0.1 cm thick, we can use differentials.

First, let's calculate the volume of the can. The volume of a cylinder is calculated by the formula

\(V = πr^{2} h,\)

where r is the radius of the cylinder, and h is its height.

In this case, the radius is 5 cm and the height is 15 cm, so the volume of the can is

\(V = π x (5 cm)^{2}  x 15 cm = 707.1 cm^{3}\)

Next, we need to calculate the volume of the metal. The volume of a rectangular prism is

V = l x w x h,

where l is the length, w is the width, and h is the height. In this case, the length and width are both 10 cm, and the height is 0.1 cm, so the volume of the metal is

\(V = 10 cm x 10 cm x 0.1 cm = 1 cm^{3}\)

Finally, we can calculate the amount of metal in the can by dividing the volume of the metal by the volume of the can:

\(1 cm^{3} / 707.1 cm^{3}  = 0.001416.\)

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a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

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Answer:

1st choice

Step-by-step explanation:

(r² -4r + 5 - r² -2r + 8) / (r - 4)

= (-6r + 13) / (r - 4)

Answer:

10 cm

Step-by-step explanation:

False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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The crossover point between the t-test and Z-test is typically considered to be a sample size of 30. This means that when the sample size is equal to or greater than 30, it is generally recommended to use the Z-test.

However, it's important to note that this cutoff point is not a strict rule and can vary depending on the specific context and requirements of the statistical analysis.

The t-test is used when the standard deviation of the population is unknown and needs to be estimated from the sample data. It is particularly useful when working with small sample sizes, where the variability of the population is less certain. The t-test takes into account the degrees of freedom, which is calculated based on the sample size minus one.

On the other hand, the Z-test is used when the standard deviation of the population is known or when the sample size is large. With a large sample size, the Central Limit Theorem ensures that the sample mean will be normally distributed, allowing for the use of the standard normal distribution (Z-distribution) in hypothesis testing.

The crossover point of 30 is a rough guideline that suggests that with a sample size of 30 or more, the sample mean distribution becomes approximately normally distributed, even without knowing the population standard deviation. This assumption allows for the use of the Z-test instead of the t-test, simplifying the calculations and interpretation of results.

It's important to consider other factors as well, such as the specific research question, data characteristics, and the desired level of confidence, when determining which test to use. Statistical software or consulting with a statistician can also help in making an informed decision based on the specific circumstances of the analysis.

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Probable and certain both speak about something that may (or may not) happen in the future, but probable and possible speak about future possibilities in different ways.

‘Probable’ is high up on the scale of probability.  If something is probable, then there is a high chance that something will happen.  We can imagine that ‘probable’ is around 80% and up on the scale of probability.

If something is possible, it doesn’t mean it’s probable.  However, if something is probable then it’s possible too.  And if this confuses you then you’re probably in the right place.  

Probable and certain are both on a scale of probability.  Probability is the level of possibility or chance that something will happen or will be true in the present or future.  

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Answer:

x ≤ 4

Step-by-step explanation:

Solve the inequality

5x - 18 ≥ 2(4x - 15)

Expand the expression

5x - 18 ≥ 8x - 30

Rearrange the terms

5x - 8x ≥ -30 + 18

Combine like terms

-3x ≥ -30 + 18

Calculate

-3x ≥ -12

Divide both sides

x ≤ -12/-3

Calculate

x ≤ 4

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer: 3*3 + 3*3 = 9 + 9 = 18

You would use trial and error for this type of problem. Often parenthesis are involved to change the order of operations, but no parenthesis are needed here.

the utilization is approximately 1.67%, which is closest to option A. 33.39%.

Given:

- The bank teller serves one customer in 5 minutes.

- The demand is 12 customers per hour.

To find the average time per customer, we can invert the rate of serving customers per minute:

Average time per customer = 1 / (12 customers/hour  60 minutes/hour) = 1 / 720 customers/minute

Utilization is defined as the ratio of time spent serving customers to the total available time. Since the total available time is 60 minutes per hour, we can calculate the utilization as follows:

Utilization = (Time spent serving customers / Total available time)  100%

Time spent serving customers = Average time per customer  Number of customers

Time spent serving customers = (1 / 720 customers/minute)  (12 customers/hour)

Time spent serving customers = 12 / 720 hours

Utilization = (Time spent serving customers / Total available time)  100%

Utilization = (12 / 720 hours) / (1 hour)  100%

Utilization = 12 / 720  100%

Utilization = 1.67%

Therefore, the utilization is approximately 1.67%, which is closest to option A. 33.39%.

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Answer:

18

Step-by-step explanation:

Take the original price and multiply by the percent

45*60%

45*.60

27  - this is the amount of the reduction

Subtract this amount from the original price to get the new amount

45-27

18 - this the new price

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

A.C.E

Step-by-step explanation:

The points which are solutions to the linear inequality, y < 0.5x + 2 are; (-3, -2), (-1, -2) and (1, -2)

By testing the point values; we have;

For (–3, –2);

For (–2, 1);

For (–1, –2);

For (–1, 2);

For (1, –2);

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Suppose you have two countries: Country A and Country B. Country A has more economic freedom than Country B.People in Country A have more opportunities to start businesses and invest.

On the other hand, Country B has less economic freedom, which limits the ability of its citizens to create their jobs, start businesses, or invest in the economy.

The preferable situation would be to be in Country A, which has more economic freedom than Country B. The reason being, there are more opportunities to create wealth in Country A compared to Country B.

For example, people can create businesses, employ others, and generate income, which leads to economic growth.

Additionally, people in Country A can choose to invest their money in businesses that they think will give them high returns.

Therefore, this leads to the creation of employment opportunities that generate income and, ultimately, lead to economic growth.

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K-means and EM are both clustering algorithms, but they differ in their assumptions about the data and the way they assign points to clusters.

K-means assumes that each data point belongs to a single cluster and minimizes the sum of squared distances between points and their cluster centers.

EM, on the other hand, assumes that the data is generated from a mixture of Gaussian distributions and assigns probabilities of belonging to each cluster. It then updates the means and covariances of the Gaussians until convergence.

In some cases, the k-means and EM solutions may be similar, but in other cases, they may differ significantly. EM can capture more complex data structures and handle clusters with non-spherical shapes, while k-means may be more computationally efficient and easier to interpret. Additionally, EM can estimate the uncertainty in cluster assignments and identify points that are likely to belong to multiple clusters. However, EM is sensitive to the initialization of parameters and can get stuck in local optima.

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Mr. Durant has 5.75 acres of lawn, therefore he was charged $125

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

The slope intercept form of an equation is:

y = mx + b

where m is the rate of change and b is the y intercept.

Let y represent the total cost of charging  for mowing x acres.

He charges a flat rate of $10 plus $5 per quarter acre of lawn. Therefore:

$5 = quarter acre; $(5 * 4) = $20 is for one acre.

y = 20x + 10

He made a total of $125; hence:

125 = 20x + 10

115 = 20x

x = 5.75 acres

Mr. Durant has 5.75 acres of lawn.

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The average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given,

The function f(x)=80(1.5)x

where x is the time in hours

Then,

f(4)=80(1.5)4=480

f(8)=80(1.5)8=960

f(0)=80(1.5)0=0

Then the average rate of change between 4 and 8 hours =\(\frac{960-480}{4}\)

=120 units per hour

The average rate of change between 0 and 4 hours=\(\frac{480-0}{4}\)

=120 units per hour

Hence, the average rate of change between hour 4 and hour 8 is equal to the  average rate of change between hour 0 and hour 4.

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The probability that both will experience allergies to pollen is 0.0484, and the probability that at least one will is 0.9516.

The following information is provided in the question:

A large country has a pollen allergy rate of about 22%.

As a result, the probability of people has a chance of having an allergy is  0.22.

P(allergic) = 0.22

P(Not allergic) = 1 - 0.22 = 0.78

If A and B are independent even, then,

P(A∩B) = P(A) × P(B)

Two people are randomly selected.

a) P( both will be allergic to pollen)

Since these are independent events,

P(both will be allergic to pollen)= P(allergic)*P(allergic)

= 0.22*0.22 =  0.0484

b) P(at least one person is allergic to pollen)

= 1 - P(both are not allergic to pollen)

= 1 - P(P(not allergic)*P(not allergic))

= 1 - (0.22*0.22)

= 0.9516

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The correlation coefficient between tail length and another variable was 0.8 when measured in millimeters, it would still be 0.8 when measured in centimeters. The only difference would be the magnitude of the numbers, as the values would be 10 times larger in centimeters compared to millimeters.

To determine the correlation between variables, it is necessary to have a dataset or at least the correlation coefficient between the variables of interest. Without specific data or the correlation coefficient, it is not possible to provide an accurate correlation value.

However, assuming that the correlation coefficient remains the same and only the unit of measurement changes from millimeters to centimeters, the correlation itself will not be affected. Changing the unit of measurement simply scales the values but does not alter the relationship between the variables. Therefore, the correlation coefficient would remain the same.

For example, if the correlation coefficient between tail length and another variable was 0.8 when measured in millimeters, it would still be 0.8 when measured in centimeters. The only difference would be the magnitude of the numbers, as the values would be 10 times larger in centimeters compared to millimeters.

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The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

What is mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given that,
Sample size, n=24

5 4 5 4 4 3 6 4 3 3 5 6 3 3 2 7 4 5 2 2 2 3 5 2

Sample mean is defined as:
¯x=∑xin

Excel function for the sample mean:

=AVERAGE(5,4,5,4,4,3,6,4,3,3,5,6,3,3,2,7,4,5,2,2,2,3,5,2)

¯x = 3.83

Sample standard deviation is defined as:

s = ∑ ( x i − ¯ x ) 2 n − 1

Excel function for the sample standard deviation:

=STDEV(5,4,5,4,4,3,6,4,3,3,5,6,3,3,2,7,4,5,2,2,2,3,5,2)

s = 1.435 The null hypothesis is, H 0:μ =3.18

The alternative hypothesis is, H a : μ ≠ 3.18

t-test statistic is defiend as: t =
¯ x − μ s / √ n t = 3.83 − 3.18 1.435 / √ 24 t = 2.219

Excel function for the P-value:

=TDIST(2.219,23,2)

P-value = 0.0366

The P-value is greater than the 1% level of significance. We fail to reject the null hypothesis at the 1% level of significance.

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Answer:

\(\frac{9}{4}\)

Step-by-step explanation:

Answer:

   \(\frac{9}{4}\)

Step-by-step explanation:

\(\frac{3}{4}\) ÷ \(\frac{1}{3}\)

\(\frac{3}{4}\) × \(\frac{3}{1}\)  = \(\frac{9}{4}\) ( to divide we make the other fraction reciprocal)

\(\frac{9}{4}\) as mixed fraction= \(\frac{1}{4}{2}\)