Two numbers total 31 and have a difference of 9. Find the two numbers.

The total number of cookies that was made that day given that 55 which is 15% was burnt is 360.

We know that the number of burned cookies is 55, and that this represents 15% of the total production for the day.

We can use this information to set up a proportion to find the total number of cookies made that day.

Burned cookies / Total cookies = 15% / 100%

55 / X = 15/100

To find the total number of cookies made, we can cross-multiply and divide:

X = (55 * 100) / 15

X = 365

So, the bakery made a total of 365 cookies that day.

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Answer:

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

Step-by-step explanation:

Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. Test to see if the average size of new homes exceeds 2,400 square feet.

At the null hypothesis, we test if the average is of 2400 square feet, that is:

[tex]H_o: \mu = 2400[/tex]

At the alternate hypothesis, we test if the average is greater than 2400 square feet, that is:

[tex]H_a: \mu > 2400[/tex]

The test statistic is:

Since we have the standard deviation for the sample, we use the t-distribution.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

2400 is tested at the null hypothesis:

This means that [tex]\mu = 2400[/tex]

A random sample of 36 newly constructed homes had an average of 2,510 square feet with a sample standard deviation of 480 square feet.

This means that [tex]n = 36, X = 2510, s = 480[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{2510 - 2400}{\frac{480}{\sqrt{36}}}[/tex]

[tex]t = 1.375[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a sample mean of at least 2510, which is the pvalue of t = 1.375 with 36 - 1 = 35 degrees of freedom, using a one-tailed test.

With the help of a calculator, this pvalue is of 0.09

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

Answer:

B. 6/9 - 4/9

Step-by-step explanation:

Make sure each fraction has a common dominator

2/3 *3/3 = 6/9

4/9 = 4/9

6/9 - 4/9 = 2/9

Answer:

6/9 - 4/9, B

Step-by-step explanation:

There are 1200 sets of 0.3 in the number 360

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here, 360 is to divided by 0.3 thus,

360/0.3 = 3600/3

             = 1200

Hence, There are 1200 sets of 0.3 in the number 360

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Answer:

Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)

Step-by-step explanation:

The domain of the function F(x) = 3 [tex]\sqrt{x-2}[/tex] is {x : x ≥ 2 and x is a real number}.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

F(x) = 3 [tex]\sqrt{x-2}[/tex]

Domain of this function is all the values of x for which the function is defined.

The expression [tex]\sqrt{x-2}[/tex] is defined only when the value of x - 2 is positive.

x - 2 > 0 ⇒ x > 2

So the function will be defined for all x > 2.

Hence the domain of the function is the set of all x such that x > 2.

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Answer:

3/20 or (i think %15)

Step-by-step explanation

This is mostly a guess since I haven't done probability in a while. Good luck though.

Answer:

4.19

Step-by-step explanation:

just use the formula 2pir^2

Answer:

the volume is 50x1.8x2

v=180cm³

therefore, density is mass/volume

Step-by-step explanation:

mass =density x volume

mass= 7.8 x 180cm³

mass= 1,404grams

The mass of the pipe to the nearest gram mass= 1,404grams.

We have given that,

A steel pipe 50 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If the density of the steel is 7.8 grams per cm^3

The volume is 50x1.8x2

v=180cm^3

Therefore, density is mass/volume

mass =density x volume

mass= 7.8 x 180cm^3

mass= 1,404grams

Therefore, The mass of the pipe to the nearest gram mass= 1,404grams.

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By using the graph, a solution the given system of equations include the following:

x = 0, y = 3

x = 3, y = 6

In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.

In this scenario, we would use an online graphing calculator to plot the graph of the given system of equations and then determine the point of intersection.

y = x + 3

y = x² - 2x + 3

By critically observing the graph of the given system of equations, the solutions are as follows;

x = 0, y = 3.

x = 3, y = 6.

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Answer:

11

Step-by-step explanation:

If you were to write the Gross Domestic Product in standard notation, 171 would be followed by 11 zeros.

Standard notation is used in expressing large numbers in smaller numbers. In order to write a number in standard notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10 raised to the number of zeros.

For example:

The number : 2 x 10² is equivalent to 300

The number 3 x 10³ is equivalent to 300

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Answer:

If the walls are the standard 8 feet tall and the room is square, then:

the wall length and width is both 7 feet.

The area of the walls would be 4x7x8 = 224 ft² (also providing there are no doors or windows)

Answer:

Lateral surface area:

Total surface area:

Answer:

Surface Area = 150.796 ft² (nearest thousandth)

Step-by-step explanation:

Surface area of a cylinder

[tex]\sf SA=2 \pi r^2+2 \pi rh[/tex]

where:

Given:

Substitute the given values into the formula and solve for SA:

[tex]\begin{aligned}\sf SA & = \sf 2 \pi r^2 + 2 \pi rh\\\implies \sf SA & = \sf 2 \pi (4)^2 + 2 p\i (4)(2)\\& = \sf 2 \pi (16) + 2 \pi (8)\\& = \sf 32 \pi + 16 \pi \\& = \sf 48 \pi \\& = \sf 150.7964474... \\& = \sf 150.796 \:ft^2\: (nearest\:thousandth)\end{aligned}[/tex]

Therefore, the surface area of the cylinder with height 2 ft and radius 4ft is 150.796 ft² (nearest thousandth).

Answer: (4.92, -0,91)

Step-by-step explanation:

This should be C on edge 2021

Answer:

C: (4.92, –0.91)

Step-by-step explanation:

Took the quiz

The function f'(x) = x² - 2 - 3xcosx is decreasing on (- 4, - 3) and (- 1, 1).

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f'(x) = x² - 2 - 3xcosx.

We know a function f(x) is decreasing if f'(x) is < 0.

Therefore,

x² - 2 - 3xcosx < 0.

x² - 3xcosx < 2.

x(x - 3cosx) < 2.

Now, 3cosx can be [- 3, 3].

x(x - 3) < 2 and x(x + 3) < 2.

x < 2 Or x - 3 < 2 and x < 2 or x + 3 < 2.

x < 2 Or x < 5 and x < 2 or x < - 1.

But x should be in [- 4, 1], Therefore it is decreasing at (- 4, - 3) and (- 1, 1).

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Answer: 300

Step-by-step explanation:

15x+350=4850

15x=4500

x=300

The equation of the line that is parallel to the line y = - 5x + c and passes through (-4, -1) will be y = - 5x - 21.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The equation of the line is given below.

y = - 5x + 6

The equation of the line that is parallel to the line y = - 5x + 6 is written as,

y = - 5x + c

The equation passes through (-4, -1), then we have

- 1 = - 5 (-4) + c

- 1 = 20 + c

- 21 = c

The equation of the line that is parallel to the line y = - 5x + c and passes through (-4, -1) will be y = - 5x - 21.

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Answer: 27 over 2,5

Step-by-step explanation:

Answer:

theta =111°

hope it helps.

Answer:

69°

Step-by-step explanation:

Sum of angles in a triangle is 180°.

Moreover, because the marked lines are parallel, the third angle of the triangle (first two being 62° and Θ) is equal to 49°

That gives us:

[tex]\Theta = 180^\circ - 49^\circ - 62^\circ = 69^\circ[/tex]

P(1.6,-2.9) are the coordinates of circumcentre of the triangle

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.

Let L(3,−6), M(5,−3), N(8,−6) be the vertices of the given △LMN.

Let P(x,y) be the circumcentre of △LMN. Then,

PL = PM = PN

Also, PL² = PM² = PN²

PL² = PM²

(x-3)² + (y-(-6))² = (x-5)² + (y-(-3))²

(x-3)² + (y+6)² = (x-5)² + (y+3)²

x²-6x+9 + y²+12y+36 = x²-10x+25 + y²+6y+9

4x + 6y = -11   ---- (1)

Also, PM² = PN²

(x-5)² + (y-(-3))² = (x-8)² + (y-(-6))²

(x-5)² + (y+3)² = (x-8)² + (y+6)²

x²-10x+25 + y²+6y+9 = x²-16x+64 + y²+12y+36

6x - 6y = 27   ---- (2)

Solve (1) and (2) simultaneously by elimination:

6 × (4x + 6x = -11)

4 × (6x - 6y = 27)

24x + 36y = -66

24x - 24y = 108

subtract:

         60y = -174

         y = -174/60

         y = -2.9

Put y = -2.9 into (1):

4x + 6x = -11

4x + 6(-2.9) = -11

4x - 17.4 = -11

4x = 6.4

x = 1.6

Thus, the coordinates of the circumcentre of △LMN are P(1.6, -2.9)

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Answer:

If we assume she runs around it once and since they tell us its a square: 27x4=108

Step-by-step explanation:

Observing the given figure , It is a balanced balance which signifies both side should be equal, The answer is 2=-8-x and x=-10.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

There are three ways to solve systems of linear equations :

2=-8-x is the required balanced equation.

-x = 2 + 8

x= -10

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Therefore , the solution of this is  the required system of equation is,

y=-x+6 and y=x+10.

A mathematical equation is a formula that links two statements by indicating their equivalence with the equal sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The relationship between two sentences on either side of a letter is expressed mathematically. There is frequently only one variable, which doubles as the symbol. say that 2x - 4 Equals 2.

Here,

(0,6) and the blue line pass through them (-2,8). You may figure out the equation for the blue line as,

=> y-6/x-0 =  8-6 /-2-0

=>y-6/x = 2/-2

=> y-6=-1(x)

y=-x+6

(-2, 8) and the red line pass through them (-3,7). The red line's equation can be calculated as,

y-8/x- (-2) = 8-7 /-2-(-3)

y-8 /x+2 = 1

y-8=x+2

y = x + 10

Thus, the required system of equations is,

y=-x+6 and y=x+10.

Therefore , the solution of this is  the required system of equations is,

y=-x+6 and y=x+10.

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the answer to this equation is 104.25

Answer:  7/1000 (choice C)

This is because the 7 is in the thousandths decimal place. We put the 7 over 1000 to form the fraction 7/1000.

Answer:

(A) So since BE means cost = revenue, you just need to solve

6Q = 500,000 + 5Q

(B) they told you at the top what the 4-month cost is. That is still true, even if Q=0

(C) find revenue for 100,000. If less than cost, shut down.