area = 78.5 ft squared. Find the diameter, and round it to the nearest tenth.​

Answer:

I'M TURKISH I DONT KNOW.

Answer:

I know you asked for help 2 WEEKS ago... but I just took the test today on Schoology (12.1.2020) but the Angle Pair: Same Side Interior || Equation: 2x + 7x -9 = 180 || x = 21

Step-by-step explanation:

I wanted to answer this because someone (anyone) out there can be looking up the answer JUST like I did and will be leaded to THIS answer...

God Bless

If the 34% of the college students major in STEM than the probability that exactly 15 of them major in STEM is 0.1162   .

In the question ,

it is given that ,

percent of students that major in STEM is = 34% ;

that means , p = 0.34 ; so , q = 0.6

number of students randomly selected (n) = 40 ,

By the Binomial Probability Distribution ,

we get ;

p(x = 15) = ⁴⁰C₅*(0.34)¹⁵*(0.66)²⁵

Simplifying the above value further ,

we get ;

p(x = 15) = 0.1162 .

Therefore , the required probability is 0.1162 .

The given question is incomplete , the complete question is

The 34% of all college students major in stem (science, technology, engineering, and math). if 40 college students are randomly selected, find the probability that exactly 15 of them major in stem  .

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Tina can mulch the garden alone in 25 minutes.

Let's use the formula for the work rate to solve the problem. If William can mulch the garden alone in 20 minutes, his work rate is 1/20. Similarly, let's assume that Tina can mulch the garden alone in x minutes, so her work rate is 1/x.

When they work together, their work rates add up, so we have:

1/20 + 1/x = 1/11

Now we can solve for x:

1/x = 1/11 - 1/20

1/x = (20 - 11) / (11 x 20)

1/x = 9 / 220

x = 220 / 9

x ≈ 24.4

So it would take Tina 24.4 minutes to mulch the garden alone.

However, we need to round this up to the nearest minute because you can't have a fraction of a minute. Therefore, Tina can mulch the garden alone in 25 minutes.

Alternatively, we can use the inverse formula for the work rate to solve for Tina's time alone:

1/20 + 1/t = 1/11

1/t = 1/11 - 1/20

1/t = (20 - 11) / (11 x 20)

1/t = 9 / 220

t = 220 / 9

t ≈ 24.4

So Tina can mulch the garden alone in 24.4 minutes, which rounds up to 25 minutes.


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(a) The expressiοn that represents amοunt οf canned fοοd cοllected by  the three friends =  5x² + 5xy - 9

(b) the expressiοn that represents number οf cans which are still need tο cοllect is = 3x² - 9xy + 17

An expressiοn is a way οf writing a statement with mοre than twο variables οr numbers with οperatiοns such as additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Example: 2 + 3x + 4y = 7 is an expressiοn.

It is given that,

number οf cans cοllected by Jessa = 5xy + 17

number οf cans cοllected by Tyree = x²

number οf cans cοllected by Ben = 4x² - 8  

Part(a)

tοtal number οf cans cοllected by three friends = cans cοllected by Jessa + Tyree + Ben

= 5xy + 17 + x² + 4x² - 8

= 5x² + 5xy - 9

Part(b)

the gοal οf fοοd cans cοllected = 8x² − 4xy + 8

Sο, the number οf fοοd cans still left tο cοllect = gοal - (number οf cans cοllected)

= (8x² − 4xy + 8) - (5x² + 5xy - 9)

= 8x² - 5x² - 4xy − 5xy + 8 + 9

= 3x² - 9xy + 17

Therefοre,

(a) The expressiοn that represents amοunt οf canned fοοd cοllected by the three friends = 5x² + 5xy - 9

(b) the expressiοn that represents number οf cans which are still need tο cοllect is = 3x² - 9xy + 17

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Answer:

The answer will be B. V^6

Answer:

y=5(x-2)+3 or y= 5x+7

Step-by-step explanation:

Answer:

The time that elapses before the players collide is 4.59 secs

Step-by-step explanation:

The distance between the two players is 41 meters. Hence, they would have total distance of 41 meters by the time they collide.

We can write that

S₁ + S₂ = 41 m

Where S₁ is the distance covered by Player 1 before collision

and S₂ is the distance covered by Player 2 before collision

From one of the equations of kinematics for linear motion,

\(S = ut\) + \(\frac{1}{2} at^{2}\)

Where \(S\) is distance

\(u\) is the initial velocity

\(a\) is acceleration

and \(t\) is time

Since the players collide at the same time, then time spent by player 1 before collision equals time spent by player 2 before collision

That is, t₁ = t₂ = t

Where t₁ is the time spent by player 1

and t₂ is the time spent by player 2

For player 1

\(S\) = S₁

\(u\) = 0 m/s ( The player starts at rest)

\(a\) = 2.2 m/s²

Then,

S₁ = \(0(t)\) + \(\frac{1}{2} (2.2)t^{2}\)

S₁ = \(1.1t^{2}\)

\(t^{2} = \frac{S_{1} }{1.1}\)

For player 2

\(S\) = S₂

\(u\) = 0 m/s ( The player starts at rest)

\(a\) = 1.7 m/s²

Then,

S₂ = \(0(t)\) + \(\frac{1}{2} (1.7)t^{2}\)

S₂ = \(0.85t^{2}\)

\(t^{2} = \frac{S_{2} }{0.85}\)

Since the time spent by both players is equal, We can  write that

\(t^{2}\) = \(t^{2}\)

Then,

\(\frac{S_{1} }{1.1} = \frac{S_{2} }{0.85}\)

\(0.85S_{1} = 1.1S_{2}\)

From, S₁ + S₂ = 41 m

S₂ = 41  - S₁

Then,

\(0.85S_{1} = 1.1 ( 41 -S_{1} )\)

\(0.85S_{1} = 45.1 - 1.1S_{1}\)

\(0.85S_{1} + 1.1S_{1} = 45.1 \\1.95S_{1} = 45.1\\S_{1} = \frac{45.1}{1.95} \\S_{1} = 23.13 m\)

This is the distance covered by the first player. We can then put this value into \(t^{2} = \frac{S_{1} }{1.1}\) to determine how much time elapses before the players collide.

\(t^{2} = \frac{S_{1} }{1.1}\)

\(t^{2} = \frac{23.13 }{1.1}\)

\(t^{2} = 21.03\\t = \sqrt{21.03} \\t = 4.59 secs\)

Hence, the time that elapses before the players collide is 4.59 secs

The Pearson correlation coefficient can be used as both a descriptive statistic and an inferential statistic.

As a descriptive statistic, the Pearson correlation coefficient describes the strength and direction of the linear relationship between two variables. It provides a numerical measure between -1 and 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

As an inferential statistic, the Pearson correlation coefficient can be used to test hypotheses and make inferences about the population correlation based on a sample. Hypothesis testing allows you to determine whether the observed correlation in the sample is statistically significant or occurred by chance. By examining the p-value associated with the correlation coefficient, you can make inferences about the strength of the relationship in the population.

Therefore, the correct answer is that the Pearson correlation coefficient can be used as both a descriptive and an inferential statistic.

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Each element of the matrix are multiplied by the scalar to form a matrix of

same size as the original matrix in matrix scalar multiplication.

Reasons:

The matrix A is presented as follows;

\(A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}\)

Using the multiplication of a matrix and a scalar, we have;

\(60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right]\)

Therefore;

\(60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right]\)

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The light post height is around 9.71 feet tall 

We are ready to utilize comparative triangles to get it this issue.

The stature of the young lady and the light post diagrams facilitate comparing sides, and the length of the girl's shadow and the confinement from the energetic lady to the light post shape the other facilities.

Since the triangles are comparative, the degree of comparing sides must rise.

Let's call the height of the light post "x". At that point we are ready to set up the taking after degree:

The stature of youthful woman/length of girl's shadow

= stature of light post / apportioned from energetic lady to light post

Stopping inside the given values, we get:

4 / 3.5 = x / 8.5

Moving forward with this condition, able to cross-multiply and light up for  x:

4 * 8.5 = 3.5 * x

34 = 3.5x

x = 34 / 3.5

x ≈ 9.71

In this way, the light post is around 9.71 feet tall.

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26a)729

b)2,457.6

c)3,500

d)8,100

e) 89,600

Step-by-step explanation:

just multiply first and divide with upper number to the lower

The width of the border is 1 meter.

Let's assume that the width of the border is x meters. Then, the overall dimensions of the garden including the border would be (4 + 2x) meters by (6 + 2x) meters.

The area of the garden is:

Garden area = length x width = 6 x 4 = 24² meters

The area of the garden including the border is:

Total area = (6 + 2x) x (4 + 2x) = 24 + 20x + 4x²meters

We want the area of the border to be equal to the area of the garden, which means that:

Area of border = Total area - Garden area = 20x + 4x² meters

Since we want the area of the border to be equal to the area of the garden, we can set these two expressions equal to each other and solve for x:

20x + 4x² = 24

Dividing both sides by 4:

x² + 5x - 6 = 0

Factoring the quadratic:

(x + 6)(x - 1) = 0

The negative solution does not make sense for this problem, so we take the positive solution:

x = 1

Therefore, the width of the border is 1 meter.

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Answer:

63 kids

Step-by-step explanation:

We can add up the number of students who went home sick, hiked, and swam to find the total amount of people.

\(4+18+41 = 63\)

Therefore, 63 kids started their day at Camp Sunshine.

I get that feeling I oversimplified this one, let me know if I did. I'm not sure if this is right.

Answer:

63 kids

Step-by-step explanation:

We know that there are some kids who went home sick, some went hiking and some went swimming.

The total number of kids that started the day at Camp Sunshine can be found by adding the number who went home sick, went hiking and went swimming.

sick + hiking + swimming

4 went home sick, 18 went hiking and 41 went swimming.

4+ 18 + 41

Add the numbers together

22+ 41

63

63 kids started the day at Camp Sunshine.

The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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Angle of depression from the bird (b) to the observer (o) = 12.52°

The right angle triangle formed has a height of 200 ft and a base of 900 ft.

The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.

Using tangential ratio we can find the angle of depression. Therefore,

Let

x = angle of depression

tan x = opposite/adjacent

opposite = 200 ft

adjacent = 900 ft

tan x = 200/900

tan x = 2/9

x = tan⁻¹ 2/9

x = tan⁻¹ 0.222

x = 12.5166739144

x = 12.52°

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After using 26 kg of plutonium, the submarine would have 129 kg left. To determine how long it would take for this amount of plutonium to decay to 52.25 kg or less, we can use the half-life of plutonium-239.We can find out how long it would take for the remaining plutonium to decay to a safe level for containment by using the half-life formula:Final mass = Initial mass × (1/2)^(time/half-life)

In this case, the initial mass (after 26 kg of plutonium has been used) is 155 kg - 26 kg = 129 kg. The final mass we want to reach is 52.25 kg (the maximum capacity of the diving containment vessel). The half-life of plutonium-239 is 24,110 years. We can set up the equation and solve for time:

52.25 kg = 129 kg × (1/2)^(time/24,110 years)

First, we'll divide both sides by 129 kg to isolate the exponential term:

(52.25 kg / 129 kg) = (1/2)^(time/24,110 years)

Now, we'll take the logarithm base 1/2 of both sides:

log₁/₂(52.25 kg / 129 kg) = time/24,110 years

Then, we can multiply both sides by the half-life, 24,110 years:

24,110 years × log₁/₂(52.25 kg / 129 kg) = time

Finally, we can calculate the time by plugging in the values:

24,110 years × log₁/₂(0.404651) ≈ 11,942 years

So, it would take approximately 11,942 years for the remaining plutonium in the nuclear submarine to decay to a level that divers could safely contain it in the available diving containment vessel.

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Answer:

y = x + 8

Step-by-step explanation:

Answer:

To determine if a point is on a line you can simply subsitute the x and y coordinates into the equation. Another way to solve the problem would be to graph the line and see if it falls on the line. Plugging in will give which is a true statement, so it is on the line.

Step-by-step explanation:

Off the inter net... sorry

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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The confidence interval for the independent-samples t-test is centered around the difference between the means. Confidence intervals indicate the range of values within which the true population value of a parameter is expected to fall with a specified probability.

As per the formula of the t-test, the difference between the sample means is taken as the estimate of the population means.The central concept of the t-test is the calculation of the difference between two means and an estimate of the variance of the difference. It is used when the sample sizes are small, and the population variance is unknown.

The independent-samples t-test is used to compare the means of two independent groups that may or may not have the same variance and is particularly useful when analyzing data from a randomized controlled trial or a natural experiment where groups are allocated randomly.

The confidence interval is constructed around the difference between the means and is used to determine whether the difference is statistically significant or not.In conclusion, the confidence interval for the independent-samples t-test is centered around the difference between the means, which is used to compare the means of two independent groups.

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Answer: (10, 8)

Step-by-step explanation:

To solve a substitution question, you have to make sure either x or y is alone on the other side of equal sign.

-x + y = -2

^^^this becomes y = -2 + x

Now, since you know what "y" is, you simply replace "y" with our new equation in the other equation.

-x - 2(-2+x) = -26

Then, you do order of operations to get the answer.

First, do distributive property.

-x + 4 - 2x = -26

Next, solve the equation.

-3x + 4 = -26

-3x = -30

x = 10

Since you found what "x" is, you substitute "x" and in one of your equations to find "y", it doesn't matter which one.

-(10) + y = -2

-10 + y = -2

y = 8

Finally, after you got "x" which is 10, and "y" which is 8, you put them in an ordered pair (x, y) which is (10, 8).

P.S. I use Sora and Deltamath too!

The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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The answer is in numerator = 3 and denominator = 5

Numbers are present in every part οf οur everyday lives, including the number οf laps we cοmplete οn the racetrack, the number οf hοurs we sleep at night, and many οther things.

In math, a number can be even, οdd, prime, cοmpοsite, decimal, fractiοnal, ratiοnal, irratiοnal, natural, integer, real, whοle, οr any cοmbinatiοn οf these.

Numbers are the basis οf mathematics

We must learn abοut numbers if we are tο understand math.

There are many different kinds οf numbers.

There is a lengthy list that includes whοle numbers, οrdinal numbers, οrdinal numbers, natural numbers, οdd numbers, even numbers, cοnsecutive numbers, and sο οn.

3*3 = 9

5*4=20

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Answer:

B

Step-by-step explanation:

The coordinates of H will be (3,5)

The formula for this is

(x,y) —> (x-3, y+7)

This is because the x value is what moves left and right and the y value moves up and down

The slant asymptote of the function is y = x - 2. The correct option is D.

Given a rational function with one piece increasing from the left in quadrant 3 and passing through the point negative 3 comma 0 and going to the right asymptotic to the line x equals 2 and another piece increasing from the left in quadrant 3 asymptotic to the line x equals 2 and passing through the point 3 comma 0 and going to the right.

The equation of the rational function g(x) and its corresponding slant asymptote are to be determined.

A rational function is a type of function in which both the numerator and denominator of the function are polynomials.

The equation of a rational function with one piece increasing from the left in quadrant 3 and passing through the point negative 3 comma 0 and going to the right asymptotic to the line x equals 2 and another piece increasing from the left in quadrant 3 asymptotic to the line x equals 2 and passing through the point 3 comma 0 and going to the right can be given as follows:g(x) = (x² - 9) / (x - 2) (x + 2)The domain of the given function is x ≠ ±2 and the vertical asymptotes are at x = 2 and x = -2.

The slant asymptote can be found by performing a polynomial division. Divide the numerator by the denominator, then we get (x) = x - 2 - (5 / (x - 2)(x + 2))

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There are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

In this case, we must employ the combination as well as repetition formula.

C(n + r-1, r) = (n + r -1)!/ r! (n - 1) !

n = 10 is provided (The number of questions)

Every question is worth a minimum of 5 points.

For 10 question = 10×5 = 50 points.

The total are 100 (sum of the scores)

r = 100 - 50

r = 50

Applying the formula.

C(10 + 50 - 1 , 50) = (10 + 50 - 1)!/ 501 (10 - 1)!

C(59, 50) = 59!/50!9!

We get by clarifying the above factorial.

C(59, 50) = 12,565,671,261

Thus, there are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.

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Answer:

Basic Of Algebra. Basics of Algebra cover the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0. This introduces an important algebraic concept known as equations.Step-by-step explanation:

2(x+4)

hope this helps!!!

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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