Which expression represents the product of 3 and 7

Answer:     9 • 10⁵

-----------------------------------------------------------------------------------------

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

Learn more about standard deviation here: brainly.com/question/29808998

#SPJ11

Interior angle of a polygon = (n-2) * 180 / n

Exterior angle of a polygon = 360 / n

To translate coordinates in a two-dimensional plane, you need to know the translation vector. A translation vector is a pair of numbers (a, b) that indicates the amount of movement in the x-direction and y-direction.

To translate a point (x, y) by the translation vector (a, b), you can use the following formulas:

x' = x + a

y' = y + b

Where x' and y' are the new coordinates of the point after the translation.

A translation is a transformation that moves a figure a certain distance in a certain direction without rotating or reflecting it. In this case, we are asked to translate the triangle EFG 2 units down. This means that we need to move the triangle down 2 units on the y-axis.

To translate a point (x, y) down 2 units, we can add -2 to the y-coordinate. The new coordinates of the point will be (x, y - 2).

The coordinates of E are (-4, 1), so the coordinates of E' after the translation are (-4, 1-2) = (-4,-1)

The coordinates of F are (-3,-2), so the coordinates of F' after the translation are (-3,-2-2) = (-3,-4)

The coordinates of G are (2, 1), so the coordinates of G' after the translation are (2,1-2) = (2,-1)

So the new coordinates for the triangle EFG' after the translation are:

E'(-4,-1)

F'(-3,-4)

G'(2,-1)

It's important to notice that the x-coordinates didn't change because we are only translating the triangle down, on the y-axis.

To learn more about translate coordinates visit:

brainly.com/question/30095010

#SPJ1

Zeros of the given polynomial are -2, 2, -3/2, 3/2

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)

1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0

4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0

(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0

(x+2)(x-2)(2x+3)(2x-3) = 0

x = -2, 2, -3/2, 3/2

Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2

For more references on zeroes, click;

https://brainly.com/question/10702726

#SPJ1

The solution of the given linear equation in one variable 5(s -12) - 24 = 3(s + 2) is at s = 45.

According to the given question.

We have an equation.

5(s -12) - 24 = 3(s + 2)

Since, we have to solve the above linear equation in one variable.

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 5(s -12) - 24 = 3(s + 2) is given by

5(s - 12) -24 = 3(s + 2)

⇒ 5s - 60 - 24 = 3s + 6    ( by distributive rule)

⇒ 5s - 84 = 3s + 6

⇒ 5s - 3s = 84 + 6

⇒ 2s = 90

⇒ s = 90/2

⇒ s = 45

Hence, the solution of the given linear equation in one variable 5(s - 12) -24 = 3(s + 2) is at s = 45.

Find out more information about equation here:

brainly.com/question/17139602

#SPJ4

Answer:

Step-by-step explanation:

ΔIJK = ΔLMN --- (given)

KI / KJ = NL / MN

19 / 40 = 60 / MN

MN = 60 × 40 / 19

MN = 126.31

The vertex of the parabola y = f(x + 1) is (1, -1).

To find the vertex of the parabola given by the equation y = f(x + 1), we need to determine the effect of the transformation on the vertex coordinates.

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.

In the given equation, y = f(x + 1), we can see that the transformation is a horizontal shift of 1 unit to the left. This means that the new vertex will be located 1 unit to the left of the original vertex.

Given that the original vertex is (2, -1), shifting 1 unit to the left would result in a new x-coordinate of 2 - 1 = 1. The y-coordinate remains the same.

Therefore, the vertex of the parabola y = f(x + 1) is (1, -1).

Learn more about parabola

brainly.com/question/11911877

# SPJ11

Answer: Can you give me a schema of the triangle please ?

To calculate the area of a triangle you need to calculate:

(Base X Height ) ÷ 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A right triangle would have side 15 12 and 9

and its area is 1/2 * 12 * 9

= 54 unit^2

Answer:

162m

Step-by-step explanation:

(8x14)+ (10x5) =162m

112 + 50 = 162m

Answer:

162m

Step-by-step explanation:

Answer:

3y² + y - 10

Step-by-step explanation:

Assuming we're finding the area:

\((3y-5)(y+2)\\3y^2+6y-5y-10\\3y^2+y-10\)

Answer:

3y² + y - 10

Step-by-step explanation:

(3y -5) (y + 2)

3y² + 6y - 5y  - 10

3y² + y - 10

Step-by-step explanation:

when choosing a sample everyone must have an equal chance of getting picked

The number of books Alisha did not sell after making a profit of £490 is 45 books

How to find how many book she sell base on the profit?

She buys 200 books costing £3 each.

Therefore,

cost = 3 × 200 = £600

Hence,

She sells 2/5 of the books at £8 each.

total amount = 2 / 5 of 200 × 8

total amount = 80 × 8

total amount = £640

Alisha then reduces the price of the remaining books by a quarter.

She then sells some of the remaining books.

Therefore,

the remaining book = 120

She sold some of the remaining books.

profit = selling price - cost price

490  = selling price - 600

selling price = 490 + 600

selling price = £1090

Therefore,

the cost of the remaining book she sold = 1090 - 640 = £450

Hence,

let

x = number of book sold

6(x) = 450

x = 450 / 6

x = 75

The number book she did not sell = 120 - 75 = 45

learn more on profit here: https://brainly.com/question/14452102

#SPJ1

The dataset for the problem is provided by the United States Social Security Administration which lists the frequency of each name given to girls and boys in the 2010s.

The provided version of the dataset only contains names used at least 25 times for at least one gender so far this decade. Following is a sample CSV file that shows some data:

Isabella,42567,Girl
Sophia,42261,Girl
Jacob,42164,Boy
Emma,35951,Girl
Ethan,34523,Boy
Mason,34195,Boy
William,34130,Boy
Olivia,34128,Girl
Jayden,33962,Boy
Ava,30765,Girl
The dataset will be used to answer some questions.

To know more about dataset visit:

https://brainly.com/question/26468794

#SPJ11

500, 510, 520.20

500/100 = 5 or 1% of 500

5 x 2 = 10 or 2% of 500

500 + 10 = 510

From 500 to 510, we can see that it increase by 2%.

510/100 = 5.1 or 1% of 510

5.1 x 2 = 10.2 or 2% of 510

510 + 10.2 = 520.20.

From 510 to 520.20, we can see that it increase by 2%.

We can conclude that the investment is steadily going up by 2%.

The formula used for given problem is y = mx+ b.

Slope-intercept form: A line with m as the slope and m and c as the y-intercept makes up the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

This relationship is linear. Let y be the boiling point and let x be the altitude in feet.

We need the equation y = mx+ b for a linear one.

This is a linear relationship.  Let x = the altitude in feet and y be the boiling point

 For a linear equation, we want y = mx+ b

From the description m = -1.72/1000 and when x = 0, y = 212, so b = 212

  y = -1.72/1000 + 212

B)  When y = 190

    190 = -1.72/1000x + 212

    1.72x/1000 = 22

 x = 22000/1.72 ≈ 12791 feet

  When the boiling point is 190°​F, the elevation is about 12791 ft.

To know more about slope intercept form, visit:

https://brainly.com/question/306928

#SPJ9



Answer:

(a) Attached to this response.

(b)

(i) 0 cups = 0.275

(ii) 4 cups = 0.125

(iii) 8 cups = 0.025

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7  ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;

the relative frequency of 0 = 0.275

(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;

the relative frequency of 4 = 0.125

(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;

the relative frequency of 8 = 0.025

Answer:

I think its 6 units

Step-by-step explanation:

The area is 30 units so therefore you would divide it by any side so therefore if you would do 30 divided by 5 you would get 6.

a. The Nyquist sampling rate for xa(t) can be calculated by taking twice the maximum frequency component in the signal. In this case, the maximum frequency component is 480л, so the Nyquist sampling rate is:

\(\displaystyle \text{Nyquist sampling rate} = 2 \times 480\pi = 960\pi \, \text{rad/sec}\)

b. The folding frequency is equal to half the sampling rate. Since the sampling rate is 600 samples/sec, the folding frequency is:

\(\displaystyle \text{Folding frequency} = \frac{600}{2} = 300 \, \text{Hz}\)

c. The corresponding discrete time signal can be obtained by sampling the analog signal at the given sampling rate. Using the sampling rate Fs = 600 samples/sec, we can sample the analog signal xa(t) as follows:

\(\displaystyle xa[n] = xa(t) \Big|_{t=n/Fs} = \sin\left( 480\pi \cdot \frac{n}{600} \right) + 6\sin\left( 420\pi \cdot \frac{n}{600} \right)\)

d. The frequencies of the corresponding discrete time signal can be determined by dividing the analog frequencies by the sampling rate. In this case, the discrete time signal frequencies are:

For the first term: \(\displaystyle \frac{480\pi}{600} = \frac{4\pi}{5}\)

For the second term: \(\displaystyle \frac{420\pi}{600} = \frac{7\pi}{10}\)

e. The corresponding reconstructed signal ya(t) can be obtained by applying an ideal digital-to-analog (D/A) converter to the discrete time signal. Since an ideal D/A converter perfectly reconstructs the original analog signal, ya(t) will be the same as xa(t):

\(\displaystyle ya(t) = xa(t) = \sin(480\pi t) + 6\sin(420\pi t)\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

let

hypotenuse[h]=60ft

base[b]=36ft

perpendicular [p]=48ft

by using Pythagoras law

p²+b²=h²

48²+36²=60²

2896≠3600

since p²+b²≠ h²[so the stage is not in a right angled triangle]but it is scalene triangle

Step-by-step explanation:

3(t-3)=5(2t-1)

= 3t-9=10t-5

= 3t-10t = -5+9

= -7t = 4

= -t = 4/7

= - 4/7 Answer

hope it helps

Therefore , the solution of the given problem of expressions comes out to be choice D is the correct response: 200 • (1.02)24.

It is preferable to use moving numbers, which can be growing decreasing, or variable, rather than generating estimates at random. They could only assist one another by exchanging resources, knowledge, or answers to problems. A truth statement may contain strategies, components, and notations against mathematical processes such as additional denial, synthesis, and mixture.

Here,

The number of paintings in the library is increasing by 2% each month, so the growth rate for one month is 2/100 = 0.02.

Therefore, multiplying the starting number of paintings (200) by the growth factor

=>  (1 + 0.02)24,

where 24 is the number of months in 2 years, will give the number of paintings the art museum will own after two years (24 months).

Thus, the expression that denotes the number of paintings the art institution owns after two years is as follows:

=>  D) 200 • (1.02)^24

Therefore, choice D is the correct response: 200 • (1.02)24.

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer:

\( r = 8.58~cm \)

Step-by-step explanation:

\( S = \dfrac{n}{360^\circ}2\pi r \)

\( 38.95~cm = \dfrac{260^\circ}{360^\circ}2\pi r \)

\( 38.95~cm = 4.5378r \)

\( r = 8.58~cm \)

The trigonometry numerical value of each expression,

(a) tanh(0) = 0

(b) tanh(1) = 0.76159

The hyperbolic tangent function is defined as the ratio of the hyperbolic sine to the hyperbolic cosine. Using this definition and the properties of hyperbolic functions, we were able to evaluate the given expressions and find their numerical values.

(a) tanh(0) = sinh(0)/cosh(0) = 0/1 = 0

(b) tanh(1) = sinh(1)/cosh(1) ≈ 0.76159

To find the value of tanh(1), we use the formula for hyperbolic sine and cosine:

sinh(x) = (\(e^x\) - \(e^{(-x)\))/2

cosh(x) = (\(e^x\) + \(e^{(-x)}\))/2

Substituting x = 1, we get:

sinh(1) = (e - \(e^{(-1)}\))/2 ≈ 1.1752

cosh(1) = (e + \(e^{(-1)}\))/2 ≈ 1.5431

Thus, tanh(1) = sinh(1)/cosh(1) ≈ 0.76159, rounded to five decimal places.

Learn more about trigonometry at

https://brainly.com/question/17081568

#SPJ4

Carmen can conclude that the opposite angles of a parallelogram are indeed congruent.

To prove that the opposite angles of a parallelogram are congruent, Carmen can use the property that opposite angles in a parallelogram are supplementary.In a parallelogram, opposite sides are parallel and congruent, and consecutive angles are supplementary (they add up to 180 degrees). To prove that opposite angles are congruent, Carmen can draw a diagonal within the parallelogram.

By doing so, she creates two pairs of consecutive angles: one pair inside the parallelogram and one pair outside. Since opposite sides of the parallelogram are parallel, the interior angles created by the diagonal are congruent. By the property of consecutive angles in a parallelogram, the sum of the interior angles is 180 degrees. As a result, the exterior angles are also congruent.

Learn more about parallelogram here:

https://brainly.com/question/28854514?

#SPJ11

It is not possible for a study to have practical significance without statistical significance because statistical significance provides evidence that the observed effect is unlikely to have occurred by chance.

The Practical significance and statistical significance are two different concepts that are often used in hypothesis testing.

The Statistical significance refers to the probability that the observed results of a study occurred by chance, given a particular level of significance or alpha.

The Practical significance refers to whether the observed effect size is large enough to be meaningful in a real-world context.

It is possible for a study to have statistical significance without practical significance. For example, a study may find a statistically significant difference between two groups, but the difference may be so small that it is not meaningful in practice.

Learn more about Significance here

https://brainly.com/question/28296262

#SPJ4

For all integers a and d, d ⫮ n if, and only if, d is a common divisor of n and a, for any integer a.

The notation d ⫮ n means that d is a common divisor of n, or in other words, both n and a are multiples of d. The statement "d ⫮ n if, and only if, d is a common divisor of n and a, for any integer a" is equivalent to saying that d is a divisor of n, and that any other common divisor of n and a must also be divisible by d.

This property is important in number theory and is often used in proofs involving greatest common divisors (GCD) and least common multiples (LCM). By understanding the relationship between d, n, and a and the idea of common divisors, we can gain insight into the properties of numbers and their factors.

To know more about integers refer to-

https://brainly.com/question/15276410

#SPJ11

The possible values of X, such that the probability of rolling a sum of 2004 is the same as rolling a sum of X when rolling n standard 6-sided dice, depend on the coefficients in the expanded form of (x + x^2 + x^3 + x^4 + x^5 + x^6)^n.of X.

To determine the possible values of X such that the probability of rolling a sum of 2004 is the same as the probability of rolling a sum of X when rolling n standard 6-sided dice, we can use the concept of generating functions.

The generating function for a single 6-sided die is (x + x^2 + x^3 + x^4 + x^5 + x^6). When we roll n dice, the generating function becomes (x + x^2 + x^3 + x^4 + x^5 + x^6)^n.

We want the coefficient of x^2004 in the expanded form of (x + x^2 + x^3 + x^4 + x^5 + x^6)^n to be the same as the coefficient of x^X. This means that the probabilities of rolling a sum of 2004 and X are equal.

To find the possible values of X, we can expand the generating function (x + x^2 + x^3 + x^4 + x^5 + x^6)^n using techniques like the binomial theorem or using computational tools.

By examining the coefficients, we can determine the possible values of X for which the probability is the same as rolling a sum of 2004.

Without performing the calculations, it is difficult to determine the exact values of X in this scenario. The possible values of X will depend on the number of dice rolled (n) and the corresponding coefficients in the expanded form of (x + x^2 + x^3 + x^4 + x^5 + x^6)^n.

To learn more about probability visit : https://brainly.com/question/13604758

#SPJ11

The price of a restaurant meal for the family is $1,978.75.

let's assume the price of a restaurant meal is x dollars.

if the family buys 4 restaurant meals, the total cost would be 4x dollars.

we are given that the family has a budget of $7,915 for sit-down restaurant meals and fast food. this means that the total cost of the meals (including both restaurant meals and fast food) is $7,915.

if the family chooses to spend the entire budget on restaurant meals, without buying any fast food, the cost would be 4x dollars.

so, we can set up the equation:

4x = 7,915

apologies for the brief response. here's a more detailed explanation:

let's assume the price of a restaurant meal for the family is x dollars.

if the family buys 4 restaurant meals, the total cost would be 4 times the price of a restaurant meal, which is 4x dollars.

we are given that the family has a budget of $7,915 for sit-down restaurant meals and fast food.

if the family decides not to buy any fast food and spends the entire budget on restaurant meals, the total cost of the meals would be $7,915.

so, we can set up the equation:

4x = 7,915

to find the price of a restaurant meal (x), we need to solve this equation.

dividing both sides of the equation by 4, we get:

x = 7,915 / 4

x = 1,978.75 75.

this means that if the family decides to buy 4 restaurant meals without purchasing any fast food, each meal would cost $1,978.75.

to find the price of a restaurant meal (x), we divide both sides of the equation by 4:

x = 7,915 / 4

x = 1,978.75

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

Answer:

6 in

Step-by-step explanation:

18/3=6

12/2=6

So, total 5 pieces of 6 inches of length