The revenue for each jumbo biscuit sold is $1, and the revenue from each regular biscuit is sold at $0.65. The cost to make each jumbo biscuit is $0.20, and the cost to make each regular biscuit is $0.15. Can the bakery produce 10 regular biscuits and 55 jumbo biscuits? if not, explain which limitations are violated.

The mean [tex]\mu =11.5[/tex] pounds;

the standard deviation is [tex]\sigma =2.7[/tex] pounds.

Let the variable [tex]X[/tex] be the weight of male babies less than 2 months old. It is normally distibuted with a law

[tex]X\sim N(11.5, 2.7^2).[/tex]

Find the variable

[tex]Z=\dfrac{X-\mu}{\sigma},[/tex] that is normally distributed with a law

[tex]Z\sim N(0, 1).[/tex]

Part A.

If X=15 pounds, then

[tex]Z=\dfrac{15-11.5}{2.7}\approx 1.2963[/tex] and

[tex]Pr(X<15)=Pr(Z<1.2963)\approx 0.9032[/tex]

Part B.

If X=15 pounds, then

[tex]Z=\dfrac{15-11.5}{2.7}\approx 1.2963.[/tex]

If X=13 pounds, then

[tex]Z=\dfrac{13-11.5}{2.7}\approx 0.5555[/tex] and

[tex]Pr(13<X<15)=Pr(0.5555<Z<1.2963)\approx 0.9032-0.7123=0.1909[/tex]

Part C.

If X=17 pounds, then

[tex]Z=\dfrac{17-11.5}{2.7}\approx 2.0370[/tex] and

[tex]Pr(X>17)=Pr(Z>2.0370)=1-Pr(Z<2.0370)\approx 1-0.9793=0.0207.[/tex]

This means that approximately 2% of babies are born with weight more than 17 pounds and, therefore, seems to be quite unusual for a baby.

Using standard normal distribution properties, we calculate that about 90.32% of babies weigh less than 15 pounds, around 19.07% of babies weigh between 13 and 15 pounds and just 2.07% of babies weigh more than 17 pounds, which is considered unusual.

These questions are solved using the properties of the normal distribution. The standard score (or z-score) is calculated with the formula z = (x-μ)/σ where x is the value, μ is the mean, and σ is the standard deviation.

For babies that weigh less than 15 pounds: Z = (15-11.5)/2.7 = 1.30. You then use a standard normal table (also called a z-table) to find the proportion associated with this z-score, which is about 0.9032. Therefore, about 90.32% of babies weigh less than 15 pounds.

For babies that weigh between 13 and 15 pounds you need to find the z-scores for both weights and identify the difference. Therefore, for 13 pounds, z = (13-11.5)/2.7 = 0.56, and for 15 pounds z=1.30 as calculated before. The odds of a weight between the two is approximately 0.9032 - 0.7125 = 0.1907. So, about 19.07% of babies weigh between 13 and 15 pounds.

For a baby to weigh more than 17 pounds, you again calculate the z-score which results in z = (17-11.5)/2.7 = 2.04. The proportion associated with this z-score is about 0.9793 but since we want to find the proportion of babies weighing more than 17 pounds we do 1 - 0.9793 = 0.0207 meaning only about 2.07% of babies weigh over 17 pounds. This is well below 5%, so it is considered unusual.

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Solving a system of linear equations involves finding the point where the two equations intersect when plotted on a graph. This can be done using a graphing calculator by first entering the equations into the calculator, then finding the point of intersection, which represents the solution.

To start solving the given system of linear equations: 2.1x+4.2y=14.7 and −5.7x−1.9y=−11.4, you first need to enter them into your graphing calculator. The intersection point of the two lines represented by these two equations will be your solution. If you don't see a clear intersection point, use the Intersection tool in your graphing calculator, which will provide the respective x and y coordinates of the intersection. This represents the solution to your set of equations.

For instance, if you have a calculator where you can plot both equations on the same graph, find the intersection point, the result is the solution of the system. If the graphing calculator finds an intersection at (x,y), that means x is the solution for the variable x and y is the solution for the variable y. This process is analogous to figuring out where the two lines would cross if you graphed them on a sheet of paper.

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To solve a system of linear equations using a graphing calculator, you first need to rewrite the equations in slope-intercept form: y = mx + b. Then input these equations into the graphing calculator. The intersection of the two graphs is the solution.

To solve the given system of linear equations—[tex]2.1x+4.2y=14.7[/tex]and [tex]-5.7x-1.9y=-11.4[/tex]—using a graphing calculator, you first have to rewrite the equations in slope-intercept form (y = mx + b), where 'm' represents the slope and 'b' represents the y-intercept.

To do this, isolate 'y' in both equations. For the first equation, you would do the following:

Repeat the same process with the other equation and you will have two equations with 'y' isolated. Input these two equations into your graphing calculator. Where the graphs intersect represents the solution to the system of equations, that is, the values of x and y that satisfy both equations.

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We can figure this out by applying proportionality.

25/5 = 5.

We know the multiplier is 5 between the fraction on the right and the fraction on the left, so we need only to multiply 8 by 5.

8 * 5 = 40.

Your answer is C.

Respuesta: El noveno piso costara $16 millones

Solucion:

El primer piso costara $12 millones y cada piso sucesivamente al segundo $500,000 mas que el piso precedente.

Esta es una progresion aritmetica, porque cada valor se obtiene sumandole al valor anterior un valor constante que es la razon "r". En este caso la razon es:

r=$500,000

Que en millones de dolares es:

r=$0.5 millones

Tenemos el primer valor: El primer piso costara $12 millones:

a1=$12 millones

Y necesitamos el costo del noveno piso, o sea el noveno valor: a9=?

Tenemos esta formula para calcular el valor de un termino cualquiera "an" de una progresion aritmetica, conociento el  primer termino de la misma:

an=a1+(n-1)r

En este caso n=9, entonces sustituyendo en la formula anterior:

a9=a1+(9-1)r

a9=a1+8r

Reemplazando los valores dados en la formula de arriba:

a9=$12 millones+8($0.5 millones)

a9=$12 millones+$4 millones

a9=$16 millones

The estimated value can be given by 21.76

To solve this expression, let's just:

[tex]\\\large \sf 102.3 \div 4.7 = 21.7659574468\\[/tex]

We can make the approximation to the first two numbers after the point, thus having the result

[tex]\red{\boxed{\large \sf \approx 21.76}}[/tex]

So, the answer will be 21.76

Answer:

20

Step-by-step explanation:

A) 3y - x = 10 is the correct answer! (I just graphed it on Desmos.com)

Step-by-step explanation: usatestprep approved

Answer:

Mary's Age = 12

Hector's Age = 2 x 12 - 5

                      = 24 - 5 = 19 years old

Answer:

c

Step-by-step explanation:

c

Final answer:

To find the coordinates of point C between points A and B given the ratio AC=1/4AB, determine the coordinates, with C being at (10.75, 7.5).

Explanation:

Coordinates of point A: A(8,6)

Coordinates of point B: B(-3,0)

Given AC = 1/4 AB, we can find the coordinates of point C by solving for the coordinates based on the ratio:

Calculate the difference in x-coordinates: 8 - (-3) = 11

Calculate the difference in y-coordinates: 6 - 0 = 6

Coordinates of point C: C(8 + 1/4*11, 6 + 1/4*6) = C(10.75, 7.5)

Because the distance to both chords are the same (5.70) and both chords are 90 degrees from the 5.70 line, both chords are identical.

Chord AB = 5, so chord CD is also 5.

The answer will be 5.

It is simple. There are 3 pizzas and 26.28 total. We are suppose to find for each pizza.

26.28/3=8.76

B. $8.76 per pizza

Answer

B. $8.76

I got it right and also if you multiply 8.76 by 3 you get 26.28 and the same goes for 26.28 divided by 3 which equals 8.76.

A number is 2/3 of another number.  Both added together equals 50.

One of these numbers consists of three parts, and the other consists of two of those three parts.  So, there are 5 equal parts in total.

Thus we need to divide 50 by 5.  50 divided by 5 equals 10.

The first number, which has three parts, is 30.  The second number, which as two parts, is 20.

I hope this makes sense to you.  :D  Good luck in all your studies!

To find the numbers, we solve an equation by combining like terms and finding the value of x. The numbers are 30 and 20.

Let's call the first number x. The second number is 2/3 of x, so we can represent it as (2/3)x. The sum of the numbers is 50, so the equation becomes:

x + (2/3)x = 50

To solve for x, we can simplify the equation by finding a common denominator and combining like terms:

Now that we have the value of x, we can substitute it back into the equation to find the value of the second number:

(2/3)x = (2/3)(30) = 20

Therefore, the numbers are 30 and 20.

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I believe the answer is B, but I'm not 100% sure. :)

the answer is 5.

                                                hope it helps

Answer:

6

Step-by-step explanation:

divide 36 by 6

Hello

This type of question can be formed into a division problem

36/6

= 6

6 band members are in each row

:)

the length of each equal side is 10 ft

the length of the third side is 2 ft

let x be the length of the third side the equal sides are 4x + 2

given perimeter == 22, then

x + 4x + 2 + 4x + 2 = 22

9x + 4 = 22 ( subtract 4 from both sides )

9x = 18 ( divide both sides by 9 )

x = 2 and 4x + 2= 10

The length of the third side (base) of the isosceles triangle is 2 feet, and the other two equal sides are each 10 feet long, with the perimeter totaling 22 feet.

To solve for the lengths of the sides of an isosceles triangle given its perimeter, we can set up an equation. Let's denote the length of the third side (base) as x feet.

Since the triangle is isosceles, we know that the other two sides (legs) have equal lengths, each being 2 feet more than 4 times the length of the third side. Therefore, these equal sides are each 4x + 2 feet long. The perimeter of the triangle is the sum of the lengths of all three sides, which is given as 22 feet.

So, the perimeter equation is:
x + (4x + 2) + (4x + 2) = 22
This simplifies to:
9x + 4 = 22
Solving for x, we get:
x = 2 feet.

Now we know the third side (base) is 2 feet long. The length of each equal side can now be calculated:
4(2) + 2 = 10 feet.

Therefore, the length of each equal side is 10 feet and the length of the third side is 2 feet.

Answer:

The n-th term for the sequence will be:  [tex]n^2+4n+2[/tex]

Step-by-step explanation:

Given sequence is:  7, 14, 23, 34, 47. 62, 79, ........

The n-th term of a quadratic sequence is:  [tex]t_{n}=an^2 +bn+c[/tex]

For [tex]n=1[/tex]....

[tex]t_{1}=a(1)^2+b(1)+c\\ \\ a+b+c=7 .............................(1)[/tex]

For [tex]n=2[/tex]....

[tex]t_{2}=a(2)^2+b(2)+c\\ \\ 4a+2b+c=14 .............................(2)[/tex]

For [tex]n=3[/tex]....

[tex]t_{3}=a(3)^2+b(3)+c\\ \\ 9a+3b+c=23 .............................(3)[/tex]

Subtracting equation (1) from equation (2), we will get......

[tex]3a+b=7..........................(4)[/tex]

Subtracting equation (2) from equation (3), we will get.......

[tex]5a+b=9..........................(5)[/tex]

Now, subtracting equation (4) from equation (5)...........

[tex]2a=2\\ \\ a=\frac{2}{2}=1[/tex]

Plugging this  [tex]a=1[/tex] into equation (4), we will get....

[tex]3(1)+b=7\\ \\ 3+b=7\\ \\ b=7-3=4[/tex]

Now, plugging [tex]a=1[/tex] and [tex]b=4[/tex] into equation (1) .........

[tex]1+4+c=7\\ \\ 5+c=7\\ \\ c=7-5=2[/tex]

Thus, the n-th term for the sequence will be:  [tex]n^2+4n+2[/tex]

To find the nth term of a quadratic sequence, we can follow these steps:

Step 1: Find the first difference.
To do this, we calculate the difference between the consecutive terms of the sequence.

14 - 7 = 7
23 - 14 = 9
34 - 23 = 11
47 - 34 = 13
62 - 47 = 15
79 - 62 = 17

Now we have the first difference sequence: 7, 9, 11, 13, 15, 17.

Step 2: Find the second difference.
If it's a quadratic sequence, the second difference should be constant. That is, the difference of the first difference sequence should be the same. Let's calculate it.

9 - 7 = 2
11 - 9 = 2
13 - 11 = 2
15 - 13 = 2
17 - 15 = 2

Great, our second difference is constant and equal to 2.

Step 3: Create the general quadratic formula.
Quadratic sequences are defined by the formula:
a_n = an^2 + bn + c

Since the second difference is constant and equal to 2, we know that 2a should be equal to the second difference. Therefore, a is half of the second difference.

a = 2/2 = 1
So our sequence has the form:
a_n = n^2 + bn + c

Step 4: Find b and c.
We use the given terms from the sequence to find the values of b and c. We know that the first term (when n=1) is 7.

a_1 = 1^2 + b(1) + c = 7
1 + b + c = 7
b + c = 6 ... [1]

We also know that the second term (when n=2) is 14.
a_2 = 2^2 + b(2) + c = 14
4 + 2b + c = 14
2b + c = 10 ... [2]

At this point, we have two equations with two variables. We can resolve this system of equations to find b and c.

Step 5: Solve the system of equations.
We can subtract equation [1] from equation [2] to find the value of b.

(2b + c) - (b + c) = 10 - 6
2b - b + c - c = 4
b = 4

Plug the value of b into either equation [1] or [2] to find c.

b + c = 6
4 + c = 6
c = 6 - 4
c = 2

Step 6: Write down the nth term formula with the found coefficients a, b, and c.
a_n = n^2 + 4n + 2

Therefore, the nth term of the quadratic sequence 7, 14, 23, 34, 47, 62, 79 is a_n = n^2 + 4n + 2.

Answer:

Assuming each person gets the same amount of apples, each friend gets 3.6875lbs of apples.

Step-by-step explanation:

Now in order to find this, we need to note that 4 people get apples (Kenneth and 3 friends). So we take the total number of pounds and divide it by 4.

14.75lbs/ 4 people = 3.6875lbs per person

Hey there!!

The total number of people are '4 people

The weight is shared equally among all the 4 people.

The total weight is 14.75 pounds.

What is the weight of each person?

∴We know everyone has the equal weight.

... person + person + person + person = 14.75

... 4 × person = 14.75

... person = 14.75 / 4

... person = 3.68

Hence, the weight of apples each get is 3.68 pounds.

Hope my answer helps!!

The probability that all seven arrows will not hit the bullseye is 1 2/5

Probability calculate how likely it is for an event to occur. The chances of an event occurring is between 0 and 1. The value of the event is one if the event happens and zero if the event does not happen.

For example the probability that it would rain everyday of the week lies between 0 and 1. If it rains, a value of 1 would be attached to the event and if it does not rain all the days of the week a value of zero would be attached to the event.

Probability all seven arrows does not hit the bullseye = number of arrows x probability of one arrow not hitting the bullseye

Probability that one arrow does not hit the bullseye = 1 - 4/5

5/5 - 4/5 = 1/5

Probability = 1/5 x 7 = 7/5 = 1 2/5

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*(Variables)*=

The Brothers Age = x

*(Step-By-Step Instructions)*=

[tex]x[/tex]·[tex]3[/tex]≤[tex]24[/tex]          Write an inequality                                                          

[tex]x[/tex]≤[tex]8[/tex]                               Divide 3 to 24

*(Answer)*= [tex]x[/tex]≤[tex]8[/tex]

Hope this helps

Person who answered: BangtanBoyScouts

Correct answer:

2.32 x 10^8

10^8 + 6 - 6 = 10^8

and

(1.6)(5.8)

(4)

= 9.28

4

= 2.32

thus,

2.32 x 108

mark Brainliest?

The answer is 857011

Answer : The correct answer is, 857011

Step-by-step explanation :

We are given an expression :

A value that is [tex](879000-21989)[/tex]

The mathematical operation used in the expression is subtraction.

Calculating the value of given expression, we get:

[tex](879000-21989)=857011[/tex]

Hence, the value of the expression is 857011.

To create a line segment that is twice as long as a given segment, use a compass and straightedge to draw two intersecting arcs and connect the intersection point with one endpoint of the given segment.

To create a line segment that is twice as long as a given segment using a construction tool or a compass and straightedge, follow these steps:

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8 + 3 *X = 2^2 + X^2

Simplify:

8 + 3x = 4 +x^2

Subtract x^2 from each side:

8 + 3x - x^2 = 4

subtract 4 from each side:

8 + 3x -x^2 -4 = 0

Simplify:

3x - x^2 +4 = 0

Factor

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

X = 4, -1

The answer would be 4.

Hi Slyther,

Answer - B. 4

8 + 3 * x = 2^2 + x^2

8 + 3 x 4 = 2^2 + 4^2

8 + 12 = 4 + 16

20 = 20

Answer:

9.5

Step-by-step explanation:

Answer:

I will work for [tex]8\frac{4}{5}[/tex] hours.

Step-by-step explanation:

Total working period = time to prepare arena + time spent in ticket office + Time spent in gig

= [tex]2\frac{1}{4}+2\frac{1}{2}+3\frac{3}{5}[/tex] hours

= [tex]\frac{9}{2}+\frac{5}{2}+\frac{18}{5}[/tex]

= [tex]\frac{45+25+18}{10}[/tex]

= [tex]\frac{88}{10}[/tex]

= [tex]\frac{44}{5}[/tex] [division by 2 to denominator and numerator both]

= [tex]8\frac{4}{5}[/tex]

I will work for [tex]8\frac{4}{5}[/tex] hours.

4-2x≤-3 so basically you are trying to find x so the best inequality for this equation would be less than or equal to  hoped this helped have a great day :)

Answer:

4 - 2x < 3

Step-by-step explanation:

Given,

The measured temperature in Toronto = 4°C,

∵ the temperature started dropping 2°C every hour,

So, the decrement in temperature after x hours = 2x degree celsius,

∴ The total temperature after x hours = original temperature - decrement in the temperature,

= 4 - 2x

According to the question,

Total temperature would be below -3°C,

4 - 2x < 3

Which is the required inequality.

The difference between whole numbers and integers is that whole numbers do not include negative numbers, whereas integers do. Therefore, the same rule used by integers can be used with whole numbers, so long as negative numbers are not used.

The rule for subtracting integers applies to whole numbers because whole numbers are integers. In subtraction, we change the sign of the subtracted number and then add, a principle that works with both negative and whole numbers.

The rule for subtracting integers can indeed be used to subtract whole numbers because whole numbers are a subset of integers. Integers include all positive whole numbers, zero, and their negative counterparts. When we look at the subtraction of integers, for example, 5 - 3 = 2, we can also see this as adding the opposite, 5 + (-3) = 2. Similarly, if you subtract a negative number, like subtracting -6 from 2, it becomes 2 - (-6) = 2 + 6 = 8. Hence, even with whole numbers, we are using the same principles.

When subtracting whole numbers, you follow the same process: change the sign of the number being subtracted and proceed with addition. If the numbers have different signs, you subtract the smaller number from the larger and retain the sign of the larger number. The basic principle to use in working with addition and subtraction of integers is changing subtraction into addition and the paying attention to the signs.

The universality of mathematical rules applies regardless of where or when, meaning subtraction of whole or negative numbers follow the same fundamental principles.

Jason is making a mistake in calculating the distance between the two points on a coordinate plane. The correct formula to find the distance between two points is the distance formula, which uses the Pythagorean theorem.

Jason is making a mistake in calculating the distance between the two points. The formula to find the distance between two points in a coordinate plane is the distance formula, which uses the Pythagorean theorem. The correct formula is:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Using the formula with the points (4, 4) and (-4, -4), the distance should be:

Distance = sqrt((-4-4)^2 + (-4-4)^2) = sqrt((-8)^2 + (-8)^2) = sqrt(64 + 64) = sqrt(128) = 8*sqrt(2)

So the distance between the two points is 8 times the square root of 2, not just 8. Jason made a mistake by adding the absolute values of the coordinates instead of using the distance formula correctly.

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the answer is c) 0.375, a number that terminates.

Answer:

D- 0.375 with a repeating bar over 375., a number that repeats

Step-by-step explanation:

Convert 3 over 8 to a decimal and tell whether it terminates or repeats.

A- 3.8, a number that terminates

B- 3.8 with a repeating bar over 8., a number that repeats

C- 0.375, a number that terminates

D- 0.375 with a repeating bar over 375., a number that repeats

Answer:

8.26 that's what i think it is

X=2:        16+5-10=11 21-10=11=11=11

Combine Like Terms: 11 = 8x + 5 - 5x

First combine the ones with variables:

11 = 3x +5

Then combine ("move") 5 to 11.

6=3x

Divide.

Final Answer

2=x

Hope that helps :)

-edited-