In a group of 10 people, there are 4 people that have the flu virus. Suppose we pick 3 random persons to test in order to determine if they have the flu and, to simplify our analysis, we suppose that the test is 100% accurate. Let X be the random variable consisting of the number of positive flu tests out of 3.

Increasing 2400 by 5% gives us 2520

we can increase the value by using the formula:

\(initial value+ percentage increase *initial value\) = increased percentage

in the aforementioned question we have

initial value = 2400

percentage increase = 5%

thus we can find out the increased percentage by:

2400 + 2400 X (5/100)

=2400 + 120

=2520

the value by which 2400 is increased is 120

to arrive at the increased value which is 2520

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Answer:

10.30 or 10 1/6 if this answer is not on the answer choices round to the nearest answer close to this.  

Step-by-step explanation:

how to solve.

34/5=6.8    - this is how many miles the car is traveling per minuet.

6.8/70=10.30   - this should be the answer because this is how many minutes it takes the car to travel 70 miles

Answer:

b=76/4

Step-by-step explanation:

Since there are 4 donuts in each box, and 76 boxes total, then you know that you need to divide the number of donuts by the amount of donuts in each box. b= 19 if u needed that. Cheers

Answer:

The answer is 19 boxes

Step-by-step explanation:

Since there were 4 donuts in each box all you have to do is divide 76 by 4 since there is 76 donuts in all 76 ÷ 4 = 19 boxes (79 equally distributed into 19 boxes)

Answer:

Step-by-step explanation:

30 min.....c .....6$

20 min ....e......5$

c*30+e*20<= 6*60 min

c*30+e*20<=360

Answer:

c

Step-by-step explanation:

i just took a test on it

The sequence converges to 0.

"It is a type of sequence where the ratio of every two consecutive terms is a constant."

"\(a_n=a_1\times r^{n-1}\)

where \(a_1\) is the first term, and r is the common ratio."

"If \(\lim_{n \to \infty} a_n\)⁡ exists and is finite we say that the sequence is convergent.

where \(a_n\) is the n-th term of the sequence."

" If \(\lim_{n \to \infty} a_n\)doesn't exist or is infinite we say the sequence diverges.

where \(a_n\) is the n-th term of the sequence."

For given question,

We have been given a sequence.

36, - 6, 1, - , . . .

The first term of the sequence is \(a_1=36\)

\(\frac{-6}{36}=-\frac{1}{6}\\\\ \frac{1}{-6}=-\frac{1}{6}\)

The ratio of every two consecutive terms is a constant.

⇒ \(r=-\frac{1}{6}\)

So, the n-th term of given geometric sequence would be,

\(a_n=36\times (-\frac{1}{6})^{n-1}\)

Now we determine whether the sequence is convergent or divergent.

\(\lim_{n \to \infty} a_n \\\\= \lim_{n \to \infty}36\times (-\frac{1}{6} )^{n-1}\\\\=36\times \lim_{n \to \infty} (-\frac{1}{6} )^{n-1}\\\\=36\times 0\\\\=0\)

Since \(\lim_{n \to \infty} a_n\) exists and is finite we say that the sequence is convergent.

Therefore, the sequence converges to 0.

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Answer: 841 / pi inches^2

Step-by-step explanation:

circumference of circle on the sphere = 2*pi*r

surface area of sphere = 4 * pi * r^2

29 inches = 2 * pi * r

r = 29 / (2 * pi) inches

surface area of sphere = 4 * pi * r^2

= (2 * pi * r) * 2 * r

= (29 inches) * 2 * (29 / (2 * pi) inches)

= (29 inches) * (29 / (pi) inches)

= 841 / pi

exact answer is 841 / pi inches^2

which is approximately 267.7 inches^2

Answer:

To the nearest mile, Tony and Jim are 9 miles apart.

To visualize this, imagine a right triangle where Jim's starting point is at the right angle. Tony travels 5 miles due south, which is the adjacent side of the triangle. Jim travels 6 miles north east, which is the hypotenuse of the triangle. The opposite side of the triangle is the distance between Tony and Jim.

Using the Pythagorean theorem, we can find the length of the opposite side:

opposite side = sqrt(hypotenuse^2 - adjacent side^2)

opposite side = sqrt(6^2 - 5^2)

opposite side = sqrt(11)

To the nearest mile, the distance between Tony and Jim is 9 miles.

Answer:

10

Step-by-step explanation:

10 is always the answer

f(x) is discontinuous.

Since LHS ≠ RHS ≠ f(x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

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

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

here, we have,

We have,

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Now,

A x = 1

LHS of f(x) = lim f((h - 1)) =  (h - 1 - 1) = 0 -2 = -2

RHS of f(x) = lim  f(h + 1) =  (2(h + 1) - 1) = 2h + 2 - 1 = 0 + 1

f(1) = x + 1 = 1 + 1 = 2

We see that,

LHS ≠ RHS ≠ f(x)

So,

f(x) is not continuous, it is discontinuous.

Thus,

f(x) is discontinuous.

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The complete question.

Show that the following functions are continuous or discontinuous at x = 1.

f(x) = x + 1, for x ≤ 2

f(x) = 2x - 1, for 1 < x < 2

f(x) = x - 1, for x < 1

Answer:

10

Step-by-step explanation:

5 x 10 = 50

500 divided by 50 = 10

H=10

The value of n in the equation, 3n - 8 = 32 - n will be 10. The value is obtained by rearranging the equation and adding the like term.

the equation is :-

3n-8=32-n

take all the values of n one side-

3n+n = 32+8

4n = 40

n = 40/4

n = 10

so the value of the n in the equation is 10.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

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Answer:

= z/12 - 1/3

Step-by-step explanation:

z-4/(4+8)

= z-4/12

= z/12 - 4/12

= z/12 - 1/3

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

.................................

Step-by-step explanation:

O

Answer:

Step-by-step explanation:

Hello

   If a line's equation has the form \(\boldsymbol{\rm{y-y1=m(x-x1)}}\), then it's considered to be in point-slope form.

In that formula,

Now you know why this equation is called point-slope form!

Now that we're familiar with the equation, let's plug in the information that's given to us...

\(\boldsymbol{\rm{y-2=\displaystyle\frac{3}{2}(x-(-1)}}\) | simplify

\(\boldsymbol{\rm{y-2=\displaystyle\frac{3}{2}(x+1)}}\)

\(\pmb{\tt{done~!!}}\)

\(\orange\hspace{300pt}\above3\)

The perimeter of the quadrilateral with the given coordinates is 16 square meters.

By definition, quadrilateral is a polygon that is bounded by four sides, four angles, and four vertices.

The perimeter of a quadrilateral is the distance round the quadrilateral that is A+B+C+D

Length 1 goes from (5, 2) to (10, 2)

since the y coordinate is the same

L1 = (10 - 5) = 5

Length 2 goes from (5, 5) to (10, 5)

since the y coordinate is the same

L2 = (10 - 5) = 5

Width 1 goes from (5, 2) to (5, 5)

Based on the x coordinate is the same

W1 = (5 - 2) = 3

Width 2 goes from (10, 2) to (10, 5)

Based on the x coordinate is the same: hence,

W2 = (5 - 2) = 3

The Perimeter will be:

p = 5 + 5 + 3 + 3

p = 16

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The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.

Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.

For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.

Therefore,  a) The inverse of “Add 25” would be “Subtract 25.”What is the  b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”

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Answer:

isisis

Step-by-step explanation:

ISO’s

Answer:

-2/3

Answer: The constant of variation k for y = kx through (-3, 2) is k = -2/3.

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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Answer:

1. 57/16 or 3.5625 ounces of water

8 : 4.75

1 : 19/32  -----> divide both by 8

19/32x6=57/16 = 3.56 ounces

2. 2.4375 ounces of other ingredients

6-3.5625=2.4375

Answer:

3080 square inches

Step-by-step explanation:

I like to draw things out. So I drew this cooler out, with the dimensions of 26x14x16. It the cooler is 2 inches thick, I need to remove 2 inches from each side of the cooler. So I took 4 inches off of the 26 and the 14 so the length and width become 22 and 10 respectively. Then I took 2 inches off the bottom of the cooler so the 16 became 14. This gives me the new dimensions of 14x22x10.

Answer:

x = -5

Step-by-step explanation:

the answer is -5 sussy baka

This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.

Side note: The r value and slope are both negative, but they aren't equal to one another.

Answer:

9 units

Step-by-step explanation:

the distance from 5 and -4 is 9

5(to)0= 5    -4(to)0=4    5+4=9

not a very good explanation but hope it helps

Answer:

1111111110

Step-by-step explanation:

45 is 9, and 5.

9 divisibility rule: Digits have to add up to 9.

We know this has to be 1's and 0's.

So there has to be 9 1's.

111111111.

5 divisibility rule: Last digit has to be 0 or 5.

1111111110 will be our final answer.

Wait- let's check if it's divisible. Using a calculator, this determines it does work.

Enjoy.

A function that has a greater maximum include the following: A. Function 1 has a larger maximum at (4, 1).

In order to determine the maximum value of function 2, we would have to take the first derivative with respect to x and then, substitute this x-value into the original function while equating it to zero (0), and then evaluate as follows;

f(x) = −x² + 2x - 15

f(x) = −2x + 2

0 = −2x + 2

2x = 2

x = 2/2

x = 1

For the maximum value of function 2, we have:

f(1) = −(1)² + 2(1) - 15

f(1) = -14

For the maximum value of function 1, we can logically deduce that it is equal to 1 based on the graph in image attached above.

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Step-by-step explanation:

The situation described can be modeled using a linear equation, where the balance of the savings account increases by a fixed amount every month. Specifically, the equation that represents this situation is:

balance = $5000 + $825 * months

where "months" represents the number of months that have passed since the account was opened. The slope of this line is constant at $825, indicating that the balance is increasing by the same amount every month.

Therefore, the model for this situation is linear.

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

Answer:

Slope: -2; y-intercept: 2/3

Step-by-step explanation:

We need to write this equation out in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. First, simplify the equation. We now have 3y + 6x − 2 = 0. We need the y to be first, so we need to move all terms to the other side except 3y. Our equation is now 3y = −6x + 2. We still need the y to be by itself, so now we divide every number by 3. Our final answer is y = −2x + 2/3.

Answer:

It is not possible... I think so