Mandy, Carly, and Armond collect sports jerseys. Carly has 5 more jerseys than Mandy, and
Armond has three times as any jerseys as Carly. Altogether, they have 80 jerseys. Find the
number of jerseys Carly has.* 5
(1 Point)
Enter your answer using c for Carly
Enter your math answer

The number of days would be 10 and the maximum percent of the population infected would be 25.752%.

What are exponential functions?

The exponential function, denoted by \(e^x\), is a mathematical function. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

\(p(t) = 7te^{-\frac{t}{10}}\)

percentage of infected people a maximum when p '(t) = 0

                    \(p '(t) = 7(1)e^\frac{-1}{10} +7te^\frac{-t}{10}(\frac{-1}{10})\\\\p'(t)=e^{-\frac{t}{10}}(7 -\frac{7t}{10})\\\\e^{-\frac{t}{10}}(7 -\frac{7t}{10})=0\\\\7 -\frac{7t}{10}=0\\\\t = 10\)

Hence percentage of infected people reaches a maximum after 10 days

maximum percent of the population infected = p(10)

    \(p(10) = 7(10)e^{-\frac{10}{10}}\\\\p(10)=\frac{70}{e}\\\\P(10)=25.752\%\)

Hence, the number of days would be 10 and the maximum percent of the population infected would be 25.752%.

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Answer:

scale factor P to Q: 4/5   scale factor Q to P: 5/4

Step-by-step explanation:

Divide original length over new length and you'll get the scale factor.

Regression Equation y is 379.9996 ⋅1.04^x . Regression analysis is a set of statistical processes used in statistical modelling to estimate the relationships between a dependent variable and one or more independent variables.

Regression analysis is a set of statistical processes used in statistical modelling to estimate the relationships between a dependent variable and one or more independent variables.

Linear regression is the most common type of regression analysis, in which the line that best fits the data according to a specific mathematical criterion is found. The ordinary least squares method, for example, computes the unique line that minimises the sum of squared differences between the true data and that line.

This allows the researcher to estimate the conditional expectation of the dependent variable when the independent variables take on a given set of values for specific mathematical reasons. Less common types of regression employ slightly different procedures to estimate alternative location parameters or the conditional expectation across a larger set of non-linear models.

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Answer:

(x + 8) (x - 8)

Step-by-step explanation:

To factorise the expression follow the steps:

Think the factorising means you want like:-

  ( x + _ ) ( x + _ )

Now, add the numbers to get 0 & multiple together to get -64

 -64 = 8 x -8

 8 + -8 = 0

Now fill the numbers in the factorising mean which will give you,

( x + _ ) ( x + _ ) --> ( x + 8 ) ( x - 8 )

Therefore, the answer will be: ( x + 8 ) ( x - 8 )

I hope this will help you :)

Answer:

b

Step-by-step explanation:

The area divided by XYZ is 16/9

i.e. \(\frac{A}{[XYZ]} = \frac{16}{9}\)

The given parameters can be represented as:

\(r = -\frac{4}{3}\) --- the ratio of dilation

The area of the second triangle is as follows:

\(A =r^2 * \triangle XYZ\)

Make \(r^2\) as subject

\(r^2 = \frac{A}{\triangle XYZ}\)

Substitute value for \(r^2\)

\((\frac{4}{3})^2 = \frac{A}{\triangle XYZ}\)

\(\frac{16}{9} = \frac{A}{\triangle XYZ}\)

Rewrite as:

\(\frac{A}{\triangle XYZ} = \frac{16}{9}\)

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Answer:

Step-by-step explanation:

Let each side of triangle XYZ have length s. We therefore have:

s = YZ = YQ + QR + RZ = x + 2y

Since each side of triangle X1 Y2 Z2 is 3/4 the length of the corresponding side of triangle XYZ, we have:

3/4s = X1 Z1 = X1 Q + QP + P Z1 = 2x +y.

The system of equations:

x + 2y = s

2x + y = 3/4s

Multiply the second equation by 2, then subtract the first equation.

3x = 1/2s, so x = 1/6s.

Now we have y = 3/4s-2x = 5/12s.

A/[XYZ] = [XYZ] - 3[YPQ]/[XYZ]

= {[XYZ] - 3[(25)/144] * [XYZ]} / [XYZ]

={23/48* [XYZ]} / [XYZ]

= 23/48

Answer:D

Step-by-step explanation:

the dots are forming a mixed up line going across the plot. D best fits the line.

The probability that in a random sample of 133 people from State College, more than 50 are not college students is 0.0000313 (rounded to 4 decimal places).

Given that in State College, Pennsylvania, the proportion of college students in the population is 71.1%.

We need to find the probability that in a random sample of 133 people from State College, more than 50 are not college students.

We need to round the final answer to at least 4 decimal places and intermediate z-value calculations to 2 decimal places.

The proportion of college students in State College, Pennsylvania is 71.1%.

Therefore, the proportion of non-college students in State College, Pennsylvania is 100% - 71.1% = 28.9%.

Let X be the number of non-college students in a sample of 133 people from State College, Pennsylvania.

As the sample is random, X follows the binomial distribution with parameters n = 133 and p = 0.289.

The probability of getting more than 50 non-college students can be obtained using the normal distribution approximation to the binomial distribution.

Using the normal distribution approximation, we can convert the binomial distribution to a standard normal distribution using the following formula: Z = (X - np) / sqrt(npq)

Where q = 1 - p is the proportion of college students in the population, and np = 133 x 0.289

= 38.397 and npq = 133 x 0.289 x 0.711 = 9.728.

The probability of getting more than 50 non-college students is : P(X > 50)

= P(Z > (50 - 38.397) / sqrt(9.728))

= P(Z > 3.92)

= 0.0000313 (rounded to 4 decimal places).

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Answer:

Rational

Step-by-step explanation:

Answer:

(x−10) (x+2)

Step-by-step explanation:

As the sample size (n) increases, the number of degrees of freedom increases, and the t-distribution approaches a normal distribution.

What is degrees of freedom ?

The variety of degrees of freedom is the amount of values within the final calculation of a datum that are liberal to vary. Estimates of applied math parameters are often primarily based upon totally different amounts information|of knowledge or data.

Main Body:

Degrees of freedom typically equals the quantity of observations (or items of information) minus the quantity of parameters calculable. once you perform regression, a parameter is calculable for each term within the model, and and every one consumes a degree of freedom. Therefore, as well as excessive terms during a multivariate analysis model reduces the degrees of freedom on the market to estimate the parameters' variability.

Hence the number of degrees of freedom increases,as the sample size (n) increases.

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The solution set can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4.  This line can be defined by a vector (4, 1, 1, -6) and any point on the line (2, -1, 0, -5).

The solution set can be described by the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4. To describe this line, we need a point on the line and a vector. The point on the line can be found by setting t = 0, so the point is (2, -1, 0, -5). The vector can be found by subtracting the point from each of the coordinates of the solution set, so the vector is (4, 1, 1, -6). This vector can be used to describe the line in R4, as any point on the line can be expressed as a multiple of the vector plus the initial point on the line. Therefore, the solution set of the system of equations can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4, defined by the point (2, -1, 0, -5) and the vector (4, 1, 1, -6).

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Answer:

1.

\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)

2.

\(x=82.1\)

3.

x = 18°

Step-by-step explanation:

1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle.  When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.

Thus, we can find plug everything into the sine ratio and simplify:

\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)

2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent.  If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side.  Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:

\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)

3. Since we're now solving for an angle, we must using inverse trigonometry.  We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ.  We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side.  Now we can do the inverse trig to find the measure of x:

\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)

1

hope it helps....!!!!!

Answer:

Approximately 1.05 × 10⁹ pounds of food are consumed by African elephants in one day.

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 7 or 6\

P(1) is true and assuming P(k) being true implies P(k+1) is true, we can conclude that the formula P(k) = (k-1) is true for all integers 1 ≤ k ≤ n by mathematical induction.

(a) To find the coefficient of x in (x+2)^11, we can expand the binomial using the binomial theorem. According to the binomial theorem, the expansion of (x+2)^11 can be written as:

(x+2)^11 = C(11,0) * x^11 * 2^0 + C(11,1) * x^10 * 2^1 + C(11,2) * x^9 * 2^2 + ... + C(11,11) * x^0 * 2^11

The coefficient of x is obtained from the term with x^10. Thus, the coefficient of x in (x+2)^11 is given by C(11,1) * 2^1 = 11 * 2 = 22.

Therefore, the coefficient of x in (x+2)^11 is 22.

(b) To show that the formula P(k) = (k-1) is true for all integers 1 ≤ k ≤ n using mathematical induction, we need to demonstrate two things:

Base case: Show that P(1) is true.

For k = 1, P(k) = (k-1) = (1-1) = 0. Therefore, P(1) is true.

Inductive step: Assume P(k) is true for some integer k ≥ 1, and prove that P(k+1) is true.

Assume P(k) = (k-1) is true.

We need to show that P(k+1) = ((k+1)-1) is also true.

P(k+1) = ((k+1)-1) = k

By assuming P(k) is true, we have shown that P(k+1) is also true.

Since P(1) is true and assuming P(k) being true implies P(k+1) is true, we can conclude that the formula P(k) = (k-1) is true for all integers 1 ≤ k ≤ n by mathematical induction.

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Answer:

g

Step-by-step explanation:

Answer:

g is the answer trust me all the best

Answer:

-a^4b + b^3 - 8c^2

Step-by-step explanation:

Sum of

3a^4b-4b^3+c^2 + 6a^4b+3b^3-6c^2

= 3a^4b + 6a^4b - 4b^3 + 3b^3 + c^2 - 6c^2

= 9a^4b - b^3 - 5c^2

Sum of

6a^4b-4b^3-4c^2 + 2a^4b+4b^3+7c^

= 6a^4b + 2a^4b - 4b^3 + 4b^3 - 4c^2 + 7c^2

= 8a^4b + 3c^2

Subtract

8a^4b + 3c^2 - (9a^4b - b^3 - 5c^2)

= 8a^4b + 3c^2 - 9a^4b + b^3 + 5c^2

= 8a^4b - 9a^4b + b^3 + 3c^2 + 5c^2

= -a^4b + b^3 - 8c^2

Answer:

f (x) =8.52x

or

x=0

Step-by-step explanation:

The unit vector in the same direction will be equal to  (6 i/5.1 - 3 j/5.1).

A vector is a quantity with both magnitude and direction in physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity.

A vector lacks position, but has magnitude and direction. A vector is therefore unaffected by displacement parallel to itself as far as its length is unaltered.

As per the given data in the question,

The unit vector is calculated as:

\(\vec u_a=\frac{\vec a}{||\vec a||}\)

\(\vec a= x \vec i+y \vec j\)

Now, calculate the magnitude of the vector,

\(\vec a\) = √(x² + y²)

\(|\vec a|\) = √6² - 3²

= √36 - 9

= 5.1

So, the unit vector will be,

\(\vec u_a\) = (6 i - 3 j)/5.1

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Answer:

  250 times as great

Step-by-step explanation:

You want to know how many times as great 2×10^11 is as 8×10^8.

The ratio of the two numbers can be found by dividing one by the other:

  \(\dfrac{2\times10^{11}}{8\times10^8}=\dfrac{2}{8}\times\dfrac{10^{11}}{10^8}=\dfrac{1}{4}\times\dfrac{10^3\times10^8}{10^8}=\boxed{\dfrac{1}{4}\times1000=250}\)

__

Additional comment

Your calculator can do this easily. The steps shown in the problem are to help you figure it without a calculator.

a. C(5,2) is the number of ways to choose \(2\) coupons out of \(5\)draws is  \(0.2048\)

b. the probability that you win exactly \($10\) in total after the first \(2\) draws and exactly\($30\) in total after all the\(5\)draws is \(0.00256\)

c. your first coupon ticket on the\(10\) th draw with replacement is\(0.0268\)

(a) To get 2 coupons in total out of 5 draws with replacement, we need to calculate the probability of getting exactly 2 coupons in any order, and the probability of not getting a coupon in the other 3 draws. The probability of getting a coupon on any draw is\(20/100\) = 1/5, and the probability of not getting a coupon is\(80/100\) = 4/5. Therefore, the probability of getting exactly 2 coupons in any order is:

P(2 coupons in any order) =\(C(5,2) (1/5)2 (4/5)3 = 0.2048\)

where C(5,2) is the number of ways to choose 2 coupons out of 5 draws.

(b) To win exactly \($10\) after the first 2 draws and exactly \($30\) after all 5 draws with replacement, we need to calculate the probability of getting 1 coupon and 1 non-coupon in the first 2 draws, and then getting 3 coupons in the next 3 draws. The probability of getting a coupon on any draw is \(1/5,\) and the probability of not getting a coupon is \(4/5.\) Therefore, the probability of getting 1 coupon and 1 non-coupon in the first 2 draws is:

P(1 coupon and 1 non-coupon in the first 2 draws) =\(C(2,1) (1/5)1 (4/5)1 = 0.320\)

where C(2,1) is the number of ways to choose 1 coupon and 1 non-coupon out of 2 draws.

After the first 2 draws, there are 18 coupons and 82 non-coupons left in the bucket. The probability of getting 3 coupons in the next 3 draws is:

P(3 coupons in the next 3 draws) =\((1/5)³ = 0.008\)

Therefore, the probability of winning exactly $10 after the first 2 draws and exactly $30 after all 5 draws is:

P(win $10 after first 2 draws and $30 after all 5 draws) = P(1 coupon and 1 non-coupon in the first 2 draws)  P(3 coupons in the next 3 draws) = \(0.320 0.008 = 0.00256\)

(c) To get the first coupon on the 10th draw with replacement, we need to not get a coupon on the first 9 draws and then get a coupon on the 10th draw. The probability of not getting a coupon on any draw is 4/5, and the probability of getting a coupon is 1/5. Therefore, the probability of not getting a coupon on the first 9 draws is:

P(not getting a coupon on the first 9 draws) =\((4/5)9 = 0.134\)

The probability of getting a coupon on the 10th draw is 1/5. Therefore, the probability of getting the first coupon on the 10th draw with replacement is:

P(first coupon on the 10th draw) = P(not getting a coupon on the first 9 draws) P(getting a coupon on the 10th draw) =\(0.134 1/5 = 0.0268\)

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen.

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Answer:

I think D sorry If I am wrong

Step-by-step explanation:

Answer:

x = 50°

Step-by-step explanation:

Since 2 sides of the triangle are congruent, then the triangle is isosceles.

Then the 2 base angles are congruent, thus

x = \(\frac{180-80}{2}\) = \(\frac{100}{2}\) = 50°

*This is not plagiarized. I am reposting my answer from yesterday that this same person asked and i guess they didn't see it*

Answer:

the remaining mass is 7.3 g

Step-by-step explanation:

a=30g

t=200 years

h=98 years

f(98)=a(\((\frac{1}{2})^ \frac{t}{h}\)

f(98)=30(\((\frac{1}{2})^ \frac{200}{98}\)

f(98)=7.3

Answer:

1. .monthly payment

2. $276 club. $36 fee

3. you got this

Answer:

Step-by-step explanation:

All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:

\(AL=\frac{\theta}{360}*2 \pi r\) and filling in:

\(8.73=\frac{\theta}{360}*(2)(3.14)(10)\) which simplifies to

\(8.73=\frac{62.8\theta}{360}\) which simplifies a bit more to

\(\frac{360(8.73)}{62.8}=\theta\) so

\(\theta=50.04\) degrees. That means that arc DE also measures 50.04 degrees.

The expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

The cube box has a side length of 9.

So, the volume of the box is:

V = 9³

The sphere has a radius of 4.5.

So, the volume of the sphere is:

v = 4/3π(4.5)³

Calculate the difference between both volumes:

d = 9³ - 4/3π(4.5)³

Hence, the expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

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Answer: that is answer d

Step-by-step explanation:

2023 edge

Answer:

1 and 3

Step-by-step explanation:

your answer is going to be 100 and how you do that is you're going to estimate which means you're taking an educated guess and is it 70 closer to zero or 100 70 is only 20 numbers away and how you find that is by subtracting 100 from 70 which equals 20 and how you do that to see if it's up or down is 50 is in your middle okay so it's going to go from 0 to 50 to 100 on a number line 70 is in between 50 and 100 so that means that you'll be going up now if you did 30 instead of 70 in your equation rounding by 10 then it would be in between the zero and the 50 which that means that you're going down

The standard form of 3x² - 9x + 2 is 3x² - 9x + 2.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A quadratic function,

3x² - 9x + 2.

The standard form of the quadratic function is

ax² + bx + c.

The standard form of 3x² - 9x + 2 is 3x² - 9x + 2.

Therefore, 3x² - 9x + 2.

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