least common
Denominator of 7/2 &
3/10

99% confidence Interval for the mean number of hours a student studies per week is (21.0208,18.9792)

Given:

mean x = 20

standard deviation σ = 3.5

sample size n = 78

z score for 99% = 2.576

Interval = x±z*s/[tex]\sqrt{n}[/tex]

= 20±2.576*3.5/[tex]\sqrt{78}[/tex]

= 20±2.576*0.39629

= 20±1.0208

Interval = (21.0208,18.9792)

Therefore 99% confidence Interval for the mean number of hours a student studies per week is (21.0208,18.9792).

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Using theories of Rhode island ,we got that when the British ship Gaspee ran a ground in Rhode island, the local population 1) burned it.

On June 9, Gaspee gave chase to the packet ship Hannah, but the Gaspee ran aground in shallow water on the northwestern side of  bay on what is now Gaspee Point. Her crew were unable to free her and the Dudingston decided to wait for the high tide, which would possibly set the vessel afloat. Before that could happen, however, the band of Providence men led by John Brown decided to act on a "opportunity offered of putting an end to the trouble and the vexation she daily caused."  They rowed out to the ship and boarded at the break of dawn on June 10.

Hence, when the british ship gaspee ran aground in rhode island, the local population 1) burned it.

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El precio final, esto es, el precio con descuento, del bolso es igual a $ 36.000.

En este problema debemos determinar el precio final de un bolso (C') adquirido por un cliente con descuento, igual al precio original (C) menos el descuento, descrito en la siguiente fórmula:

C' = C · (1 + r / 100)

Donde r es la tasa de descuento. Nótese que existe descuento para 0 < r < 100.

Si sabemos que C = 40.000 y r = - 10, entonces el precio final del bolso es:

C' = 40.000 · (1 - 10 / 100)

C' = 36.000

El precio final del bolso es igual a $ 36.000.

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The product of f(x) and g(x) is -2x² +16x -24.

A function is a relation such that there is only one unique output for every input.

Given that, the functions, f(x) = x-6 and g(x) = -2x + 4.

The value of f(x) × g(x) is,

f(x) × g(x)

= (x-6)(-2x+4)

= -2x²+4x + 12x -24

= -2x² +16x -24

Hence, the product of f(x) and g(x) is -2x² +16x -24.

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Answer:

6(2x - 1)

Step-by-step explanation:

Just look up the answer on the calculator

There is no null hypothesis in this situation there is no differences in the opinions about marriage between men and women

In the field of science, hypothesis testing is an effective method of determining whether or not there is a relationship between two or more variables. A null hypothesis is a default position or a general statement that no relationship or connection exists between the given variables.

The hypothesis is then tested, and based on the results of the tests, a conclusion is drawn either approving or rejecting the null hypothesis.

In the given situation, where the researcher predicted that women would have different opinions about marriage than men, the null hypothesis could be formulated because there is no difference in the opinions of men and women about marriage.

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Answer:

=========================

The smaller figure is added, considering the coordinates of the image follow the rule:

Smaller stage is in blue. See attached

Since each side is half the original, the perimeter of the image is half the larger one:

Answer:

14/x+3

Step-by-step explanation:

A wire is cut into two pieces, one piece bent into square and other piece will be bent into circle. Therefore, the minimum length of wire that can be used is 43 m.

The relationships between the radius of a circle and its circumference and area are :

                                           C = 2πr

                                            A = πr²

The relationships between the side length of a square and its perimeter and area are :

                                        P = 4s

                                        A = s²

So, the length of wire will be

                         W= C + P

                        W = 2πr + 4s

Subject to the constraint that the sum of areas is 144 m²:

                                 πr² + s² = 144

Using the method of Lagrange multipliers to find the extremes of wire length, we want to set the partial derivatives of the Lagrangian (L) to zero.

                       L = 2πr + 4s + λ(πr² +s² -144)

                   ∂L/∂r = 0 = 2π +2πλr      ------------------------------- (1)

                   ∂L/∂s = 0 = 4 +2λs           ------------------------------- (2)

                   ∂L/∂λ = 0 = πr² +s² -144    -------------------------------- (3)

Solving for λ, we find,

                   1 +λr = 0      ---------------------------- (4)

                ⇒  λ = -1/r      ----------------------------- (5)

Substituting into equation (2), we get,

                  4 + 2(-1/r)s = 4

               ⇒  s/r = 2  -------------------------------- (6)

This tells us the maximum wire length is that which makes the circle diameter equal to the side of the square.

Substituting the relation s=2r into the area constraint, we find,

                          πr² +(2r)² =144  

                      ⇒  r = √(144/(π+4))

                      ⇒  r= 12/√(π+4) ≈ 2.068965 . . . m

∴ The minimum wire length will be required when the entire area is enclosed by the circle. In that case,

                           πr² = 144

                        ⇒  r = √(144/π)

           and,           C = 2πr

                         = 2π√(144/π)

                         = 24√π ≈42.5388 . . m

rounding up the minimum value 42.5388... in 43.

∴ The minimum wire length will be required is 43 m

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The angles in the figure are:

∠PQR = 45°

∠POR = 90°

Given : O is the centre of circle, ∠OPQ = 25° and ∠ ORQ = 20°

To Find : ​values of ∠ POR and ∠ PQR.

OP = OQ  = Radius

⇒ ∠OPQ = ∠OQP  

⇒ ∠OQP = 25°

OR = OQ  = Radius

⇒ ∠OQR = ∠ORQ

⇒ ∠OQR = 20°

∠PQR = ∠OQP + ∠OQR

⇒ ∠PQR =   25° + 20°

⇒ ∠PQR =   45°

∠POR = 2∠PQR

⇒ ∠POR = 2*45°

⇒  ∠POR = 90°

Hence we get the two angles as 45° and 90° respectively.

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Answer: hi

Step-by-step explanation:

Answer:

Left bottom graph is the correct one.

Answer: The bottom left graph

Step-by-step explanation: The top two are decreasing, so you can rule those answers out. The bottom right one is increasing by more than 4, so that wouldn’t be the answer either. That leaves you with one option which fits the description of the graph.

Answer:

I believe it would be 300 dollars per week, I hope this was right :)

Step-by-step explanation:

.4x750=300

Caroline would have $36 more money in her account than Jaxon.

From the question, we have

Caroline amount,

A = P* e^rt

= 900*e^(71*8)/800

= 900*e^(71/100)

=$1830.59

Jaxon amount,

A = P* e^rt

= 900*e^(69*8)/800

= 900*e^(69/100)

=$1794.34

Difference = $1830.59 - $1794.34

= $36.25

= $36 ( to the nearest dollar)

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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The number of displays are possible is 3

Total number of species Lightning bugs = 69

We have to arrange the same number of Lightning bugs in each row

First find the factors of the number 69

The factors of 69 = 1, 3, 23, 69

First combination is (1 × 69)

Arrange 1 Lightning bug in each row, then the number of rows will be 69

(3 × 23)

Arrange 3 Lightning bugs in each rows, then the number or rows will be 23

(23 × 3)

Arrange 23 Lightning bugs in each rows, then the number of rows will be 3

Hence, the number of displays are possible is 3

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Systematic errors are consistently in the same direction

In contrast , random errors produce different values in random directions

Random error causes a slight difference of one measurement to from the next. It is quite unpredictable in it's variation during an experiment.

Systematic error always affects measurements by the same proportion, provided that a reading is taken the same way each time. It is predictable

An example that illustrates this difference are

Systematic errors are consistently in the same direction

for example they are always 50g , 1% or 99 mm too large or too small

In contrast , random errors produce different values in random directions

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Answer:

also called a tariff.

Step-by-step explanation:

Please give the brainliest.

The slope of origin (0, 0) with (1, 31); (5, 155), and (9, 279) is 31

The slope of a line will indicate the direction and steepness. It is also defined as the change in the y-coordinate for a corresponding change in the x-coordinate.  

Slope of a line with given points (x₁, y₁) and (x₂, y₂) is  

Here we have

Points (1, 31) (5, 155) and (9, 279)

We need to find slopes between two points

As we know the formula for slope with given points is

Slope, m = (y₂ -y₁) /(x₂-x₁)

Here coordinates of the origin are (0, 0)

The slope between (0, 0) and (1, 31)

=> m =  (31 - 0) /(1 - 0)  = 31/1 = 31

The slope between (0, 0) and (5, 155)

=> m =  (155 - 0) /(5- 0)  = 155/5 = 31

The slope between (0, 0) and (9, 279)

=> m =  (279 - 0) /(9 - 0)  = 279/9 = 31        

Therefore,

The slope of origin (0, 0) with (1, 31); (5, 155), and (9, 279) is 31

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The expression can be written without negative exponents as 64xy²

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6. This can be written as 6⁴. Here, 4 is the exponent and 6 is the base.

Simplifying exponents is a method of simplifying the algebraic expressions involving exponents into a less complex form in a way that they cannot further be reduced. There are methods in algebra for simplifying exponents with different and same bases that we can use.

Steps to solving basic problems like this are;

Step 1

remove parentheses by multiplying factors.

Step 2

use exponent rules to remove parentheses in terms with exponents.

Step 3

combine like terms by adding coefficients.

Step 4

combine the constants.

In this case, we have an expression;

8√x²y⁴ which can be rewritten without using the square.

8√x²y⁴ = 64xy²

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By using ratio, it is calculated that John have 42 sweets.

What is ratio?

Ratio between two quantity tells us how much bigger is one quantity as compared to the other quantity.

The first part of the ratio is called antecedent and the second part of the ratio is called consequent

Vicky and John share some sweets in the ratio 2:7

Let Vick shares 2x sweets and John shares 7x sweets

Vicky ends up with 12 sweets

By the problem,

[tex]2x = 12\\x = \frac{12}{2}\\x = 6[/tex]

Number of sweets John have = [tex]7 \times 6 = 42[/tex]

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Answer:

answers found in pdf

Step-by-step explanation:

mathaway will help check your answers that what I did.

The probability that the frog will escape without being eaten by the snake is [tex]\frac{63}{146}[/tex]

What is Markov Process?

A Markov chain or Markov process is a stochastic model that depicts a series of potential occurrences where each event's likelihood is solely determined by the state it reached in the preceding event.

First, take notice that the frog has a probability of 1/2 of finally being eaten by the snake once it is on pad 5, and a probability of 1/2 of eventually emerging from the pond unharmed. Therefore, all that needs to be determined is the probability that the frog on pad 1 will make it to pad 5 without being eaten.

Consider the frog’s jumps in pairs. The frog on pad 1 will advance to pad 3 with probability [tex]\frac{9}{10} \frac{8}{10}[/tex][tex]=\frac{72}{100}[/tex] will be back at pad 1 with probability [tex]\frac{9}{10} \frac{2}{10}[/tex][tex]=\frac{18\\}{100}[/tex]

s

[tex]\frac{72}{100}[/tex] ÷  [tex](\frac{72}{100}+\frac{10}{100} )=\frac{36}{41}[/tex]   and the probability that it ultimately makes it to pad 0 is [tex]\frac{10}{100}[/tex] ÷ [tex](\frac{72}{100}+\frac{10}{100} )=\frac{5}{41}[/tex].Similarly, in a pair of jumps the frog will advance from pad 3 to pad 5 with probability [tex]\frac{7}{10} \frac{6}{10} =\frac{42}{100}[/tex], will be back at pad 3 with probability [tex]\frac{7}{10} \frac{4}{10} +\frac{3}{10} \frac{8}{10} =\frac{52}{100}[/tex].

Because the frog will ultimately make it to pad 5 or pad 1 from pad 3, the probability that it ultimately makes it to pad 5 is [tex]\frac{42}{100}[/tex] ÷ [tex]( \frac{42}{100} +\frac{6}{100} )=\frac{7}{8}[/tex] and the probability that it ultimately makes it to pad 1 is [tex]\frac{6}{100}[/tex] ÷ [tex](\frac{42}{100} +\frac{6}{100} )=\frac{1}{8}[/tex]

The series of steps that must be made in pairs for the frog to get to pad 5 without being eaten is

1 → 3 → 5, 1 → 3 → 1 → 3 → 5, 1 → 3 → 1 → 3 → 1 → 3 → 5 and so on.

The sum of the respective probabilities of reaching pad 5 is then

[tex]\frac{36}{41} \frac{7}{8} +\frac{36}{41} \frac{1}{8} \frac{36}{41} \frac{7}{8}+\frac{36}{41} \frac{1}{8} \frac{36}{41} \frac{1}{8} \frac{36}{41} \frac{7}{8}+.....[/tex]

[tex]= \frac{63}{82} (1+\frac{9}{82} +(\frac{9}{82})^{2} +....)[/tex]

[tex]=\frac{63}{82}[/tex]÷[tex](1-\frac{9}{82} )[/tex]

[tex]= \frac{63}{73}[/tex]

Therefore the requested probability is [tex]\frac{1}{2}\frac{63}{73} = \frac{63}{146}[/tex]

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The possible numbers of additional miles that Lamar can run are all the solutions of the inequality:

0 ≤ x ≤ 15

We know that Lamar will run at most 37 miles this week, and he already did run 22 miles, then the (maximum) distance left this week is:

D = 37mi - 22mi = 15mi

So he can run at most 15 miles, this means that he can run any distance between 0 miles and 15 miles by the end of the week.

So, if we define x as the distance that he will run on the week (in miles), then we can write the inequality:

0 ≤ x ≤ 15

so the possible numbers of additional miles he will run on this week are all the values of x that are a solution for the above inequality.

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The system of equation for the following conditions contains equation the equations: x + y ≤ 30 and 9x + 15y 240.

What is system of equation?

A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."

Let the hours Alisa work for lawn mowing job is "x" hours and for coaching job is "y" hours.

As given in the question, Alisa can work at most 30 hours.

So the total working hours should be equal or less that 30 hours.

Therefore, the first equation can be written as:

x + y ≤ 30

And it is also given that, she needs to earn at least $240, while Her lawn mowing job pays $9 an hour, and her coaching job pays $15 for an hour.

So, Total earning = per hour earning x total hour

lawn mowing job earning = 9(x)

coaching job earning = 15(y)

Therefore, the second equation can be written as:

9x + 15y 240

Hence, the system of equation is: x + y ≤ 30 and 9x + 15y 240

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Answer:

To find the rate of change in a table, the same process applies:

Step-by-step explanation:

1. Find the coordinates of the given points. It's optional to label them.

2. Find the difference between the output values.

3. Find the difference between the input values.

4. Calculate the ratio between the change in y to the change in x: ΔyΔx.

2/5 fraction as a decimal is 0.4.

Any number that is expressed as a fraction has two components, the numerator and the denominator. Typically, we divide the numerator by the denominator to convert a fractional number to decimal form. The formula p/q, where q=0, is used to denote fractions. While the decimal numbers, such as 7.575, are created by joining the entire number and fractional parts with a decimal point. 

There are two methods to convert fraction to decimal which are given below:

For 2/5

We will divide them as mentioned above,

2/5 = 0.4

Hence, 2/5 is equal to 0.4 in decimal form.

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Answer:

you will need to go 80 km per hr

Step-by-step explanation:

Answer:

Marcy got 16 wrong.

Step-by-step explanation:

You simply multiply 1 ( from the missed side of the ratio ) by 4 ( how many Marcy got wrong ) which equals 4. Then you do the same to the other side. 4 ( from the "correct" side of the ratio ) by 4 ( how many Marcy got wrong ). 4 x 4 is 16. So, Marcy got 16 wrong.

Answer:

16

Step-by-step explanation:

The ratio is 1:4 means for 1 wrong word, she got 4 words correct. If she has 4 words wrong, multiply that with 4 and you got 16.

The inequality results to f > -3.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

-2f-3.7 < 2.3

Now, solving the inequality

Add 3.7 both side

-2f-3.7 + 3.7 < 2.3 + 3.7

-2f< 6

Divide both side by 2.

-f< 3

f> -3

Hence, the inequality results to f > -3.

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