Which number from the set {0, 1, 2, 3} makes the equation true?

14x − 5 − 8x = 1

Answer:

$15087.27

Step-by-step explanation:

When you read word problems you should always read over it several times, look for key words, and possibly even write down the known facts.

First add up Celine's earnings:

1250(11)=6105

6105+8250=14355

Since Celine has +525 more than Abbas you have to subtract:

14355-525=13830

Since we want the yearly income we divide it to get the monthly income:

13830/11=1257.27272727

Next multiply by 12 to get the answer:

1257.27272727(12)=15087.2727273

They will probably want it simplified to $15087.27.

                  Hope this helps:)

Answer:

Slope = -3

Step-by-step explanation:

Slope intercept form: y = mx + b (where m is the slope).

Our line is parallel to y = -3x + 4. Since it's parallel, it will have the same slope.

q - 10 = 6(r+1)

q = 6r + 1 + 10

q = 6r + 11

The 90th percentile of x is 70.

What is standard deviation?

A set of values' variance or dispersion is measured by the standard deviation. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

Given:  Mean = 80, s = 5.

Computing values to standard deviation from mean,

Lower limit = mean - 2s

                  = 80 - 2(5)

                  = 80 - 10

Lower limit = 70

Hence, if x has a normal distribution with mean 80 and standard deviation 5 then the 90th percentile of x is 70.

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The equation that could be used to find the value of "m" is: m = 20

To find the equation to determine the number of muffins Sylvie has left after baking and giving away some, we need to follow these steps:

Calculate the total number of muffins baked by Sylvie: 4 trays x 8 muffins/tray = 32 muffins

Subtract the number of muffins given away from the total baked: 32 muffins - 12 muffins = 20 muffins

Assign the number of muffins left to the variable "m"

Therefore, the equation that could be used to find the value of "m" is:

m = 20

This means that Sylvie has 20 muffins left after giving away 12 to her friends. It's important to note that we used basic arithmetic operations to solve this problem, including multiplication and subtraction, and then assigned the remaining value to a variable to create the equation.

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Answer:

A) 3T + 4C = 3.45

B) 4T + 1C = 2.65 We'll multiply this by -4

B) -16T -4C = -10.60  then we'll add A)

A) 3T + 4C = 3.45

-13T = -7.15

Tea is .55

and coffee is

A) 3 * .55 + 4C = 3.45

4C = 3.45 -(3 * .55)

4C = 1.80

coffee is .45

Step-by-step explanation:

The statement ''The average age of the students in a statistics class is 20 years'' describes descriptive statistics.

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We have been given the following values:Radius of cylindrical tank, r = 1.02 mHeight to which the tank is filled, h = 3.13 mAmount of industrial solvent, V = 14100 kgWe need to calculate the density of the liquid industrial solvent.

We know that the formula for volume of a cylinder is given by :

Volume of a cylinder = πr²hSubstituting the values of r and h, we get:Volume of cylindrical tank = π(1.02)²(3.13)Volume of cylindrical tank = 10.150 m³.

Since we know the amount of solvent, we can use the formula for density of a substance to find its density:

Density = Mass / Volume.

Substituting the values of mass and volume, we get:

Density of industrial solvent = 14100 / 10.150.

Density of industrial solvent = 1391.13 kg/m³Hence, the density of the liquid industrial solvent is 1391.13 kg/m³.

To calculate the density of the industrial solvent, we use the formula:

Density = Mass / Volume.

We have been given the mass of the solvent as 14100 kg. We can find the volume of the cylindrical tank by using the formula for the volume of a cylinder, which is given by:

Volume of a cylinder = πr²hWe have been given the radius of the cylindrical tank as 1.02 m and the height to which it is filled as 3.13 m. We substitute these values in the formula to get the volume of the tank.Volume of cylindrical tank = π(1.02)²(3.13)Volume of cylindrical tank = 10.150 m³.

Substituting the values of mass and volume in the formula for density of a substance, we get:Density of industrial solvent = 14100 / 10.150Density of industrial solvent = 1391.13 kg/m³Therefore, the density of the liquid industrial solvent is 1391.13 kg/m³.

The density of the industrial solvent is 1391.13 kg/m³.

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The probability that one of the dice has the number 3 or less facing up given that the other has at least the number 3 facing up is 3/16.

To find the probability that one of the dice has the number 3 or less facing up given that the other has at least the number 3 facing up, we can use conditional probability.

First, let's consider the possible outcomes when rolling a pair of fair dice.

There are a total of 36 possible outcomes, since each die has 6 possible outcomes (numbers 1 to 6)

and there are 6 possibilities for the second die for each outcome of the first die.

Next, let's consider the outcomes where one of the dice has the number 3 or less facing up and the other has at least the number 3 facing up.

If the first die has the number 3 or less, there are 3 possible outcomes:

(1,3), (2,3), (3,3). If the second die has at least the number 3 facing up, there are 16 possible outcomes:

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,3), (5,3), (6,3), (4,4), (4,5), (4,6), (5,4), (5,5), (5,6), (6,4), (6,5), (6,6).

Out of these 16 outcomes, 3 outcomes also satisfy the condition that the first die has the number 3 or less facing up: (3,3), (4,3), (5,3).

Therefore, the probability that one of the dice has the number 3 or less facing up given that the other has at least the number 3 facing up is 3/16.


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please see my steps to work this problem

Answer:

okay, I'll explain how to do it.

y = 4x

so make a table

-1. -4

0. 0

1. 4

plot those points and draw a line through them.

let's plot some points to start.

Answer:

Exponential function

Step-by-step explanation:

This question is incomplete because it was a details in the question was not written correctly.

Complete Question:

A sundae requires 2 ice-cream scoops and 4 raspberries, and a milkshake requires 3 ice-cream scoops and 5 raspberries. Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 raspberries. Let S denote the number of sundaes she makes and M the number of milkshakes she makes. Write an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS).

Answer:

An inequality that represents the condition based on the number of (ICE-CREAM SCOOPS) is given as:

2S + 3M ≤ 80

Step-by-step explanation:

From the above question, we are told that:

Let S denote the number of sundaes Laila makes

M the number of milkshakes

a) A sundae requires 2 ice-cream scoops and 4 raspberries

A sundae = 2S and 4S

b) A milkshake requires 3 ice-cream scoops and 5 raspberries.

A milk shake = 3M and 5M

Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 raspberries .

Therefore, an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS) is given as:

2 ice cream scoops + 3 ice cream scoops ≤ 80

2S + 3M ≤ 80

There is a very small chance (less than 1%) that a randomly selected baby from this sample was born on Tuesday OR on Friday.

To find the probability that a randomly selected baby from this sample was born on Tuesday OR on Friday, we need to add the number of babies born on Tuesday to the number of babies born on Friday, and then divide by the total number of babies in the sample.

The number of babies born on Tuesday is 202020, and the number of babies born on Friday is 151515. Therefore, the total number of babies born on Tuesday or on Friday is 202020 + 151515 = 353535.

The total number of babies in the sample is 500500500. Therefore, the probability that a randomly selected baby from this sample was born on Tuesday OR on Friday is:

353535 / 500500500 = 0.0007061

It is interesting to note that the number of babies born on different days of the week varies in this sample. For example, there are more babies born on weekdays (Monday-Friday) than on weekends (Saturday and Sunday), and there are more babies born on Tuesday than on Wednesday or Thursday.

The number of scheduled deliveries is higher than the number of unscheduled deliveries overall, but there are some days (e.g., Friday and Saturday) where there are more unscheduled deliveries than scheduled deliveries. These patterns could be explored further to understand the factors that influence the timing and scheduling of deliveries.

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Step-by-step explanation:

diagonals of the rhombus bisect each other at right angles .

5a = 90

a = 90/5 = 18

in ∆ OCD:

5a + 2a + b = 180

7a+ b = 180

b = 180 - 7 ( 18)

b = 180 - 126

b = 54 °

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.☺️

Answer:

a = 18°

\( b= 108\degree \)

Step-by-step explanation:

ABCD is a rhombus.

AC and BD are its diagonals

Diagonals of a rhombus bisects at right angles.

Therefore,

5a = 90°

a = 90°/5

a = 18°

2a = 2*18° = 36°

Diagonals of a rhombus bisects the opposite angles.

Therefore,

\( m\angle ADC = 2(2a)\)

\( m\angle ADC = 2\times 36\degree \)

\( m\angle ADC = 72\degree \)

\( m\angle ADC+m\angle DCB= 180\degree \)

(Adjacent angles of a rhombus are supplementary)

\( 72\degree+b= 180\degree \)

\( b= 180\degree-72\degree \)

\( b= 108\degree \)

The formula for the Lateral Surface Area of a pyramid is LSA = (1/2) Pl; is true

What is the Surface Area of a Pyramid?

The total area of a pyramid's faces is referred to as the pyramid's surface area. In other terms, a pyramid's surface area is the whole area that the pyramid's surface occupies. Typically, it is measured in square units like m2, cm2, in2, and so forth.

The pyramid's two types of surface areas are:

Regular Pyramid Lateral Surface Area = (1/2) Pl Square Units

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True, the formula for the Lateral Surface Area of a pyramid is LSA = (1/2) Pl.

The total area of a pyramid's faces is referred to as the pyramid's surface area. In other terms, a pyramid's surface area is the whole area that the pyramid's surface occupies. Typically, it is measured in square units like m², cm², in², and so forth.

The pyramid's two types of surface areas are:

Refer to the attachment.

The base area of the pyramid is, B = a2

The base perimeter of the pyramid is, P = 4a

The area of each of the side faces = (1/2) × base × height = (1/2) × (a) × l

Therefore, the sum of all side faces = 4 [(1/2) × (a) × l] = (1/2) × (4a) × l

= (1/2) Pl.

Regular Pyramid Lateral Surface Area = (1/2) Pl Square Units

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Answer:

Twice a number decressed by five

Answer:

C

Step-by-step explanation:

the product of two and five less than a number

Answer:

28 g. ................

Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.

In this question we must analyze if the area of the triangle OPQ can be found by all information given. By the law of the cosines we understand that lengths of two sides and the measure of an angle should be known to construct a triangle and by the law of the sines we understand that either two angles and a side or two sides and an angle must be known.

Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.

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An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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The p-value for a right-tailed test is 0.0096.so the melodic kortholt company should consider changing its current health plan.the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).

1. Calculate the proportion of employees dissatisfied (16/25 = 0.64).

2. Calculate the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).

3. Calculate the z-score for the test (z = (0.64 - 0.5)/SE = 1.39).

4. Calculate the p-value (p-value = 1 - cdf(z) = 0.0096).

The p-value is an indication of how likely it is that the proportion of employees dissatisfied is significantly different from the expected proportion (in this case, half). The p-value of 0.0096 means that there is only a 0.96% chance that the observed proportion of employees dissatisfied is due to chance alone, and so the melodic kortholt company should consider changing its current health plan.

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18 responses would the company get over the course of the first 8 days after the magazine was published.

What is a geometric sequence?

A geometric progression, often referred to as a geometric sequence, is a series of non-zero values where each term following the first is obtained by multiplying the preceding value by a constant, non-zero number known as the common ratio.

Here, we have

Given: A large company put out an advertisement in a magazine for a job opening. On the first day, the magazine was published the company got 125 responses, but the responses were declining by 24% each day.

We apply here geometric sequence.

aₙ = arⁿ⁻¹

where

aₙ = n^{th} term of the sequence

r = is the common ratio

a = the first term of the sequence

a = 125

r = 100% - 24% = 76% = 76/100 = 0.76

aₙ = (125)(0.76)⁸⁻¹

aₙ = 125(0.76)⁷

aₙ = 18

Hence, 18 responses would the company get over the course of the first 8 days after the magazine was published.

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Answer:

463 (to the nearest whole number)

Step-by-step explanation:

We can model the given scenario as a geometric sequence.

The first term, a, is the number of responses the company got on the first day:

The common ratio is the number you multiply by at each stage of the sequence. As the responses are declining by 24% each day, then each day the responses are 76% of the previous day's responses, since 100% - 24% = 76%. Therefore, the common ratio, r, is:

To calculate the total responses the company would get over the course of the first 8 days after the magazine was published, use the Geometric Series formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

Substitute a = 125, r = 0.76 and n = 8 into the formula and solve for S:

\(\implies S_8=\dfrac{125(1-0.76^8)}{1-0.76}\)

\(\implies S_8=\dfrac{125(1-0.111303478...)}{0.24}\)

\(\implies S_8=\dfrac{125(0.888696521...)}{0.24}\)

\(\implies S_8=\dfrac{111.087065...}{0.24}\)

\(\implies S_8=462.862771...\)

\(\implies S_8=463\)

Therefore, the total number of responses the company would get over the course of the first 8 days after the magazine was published is 463 to the nearest whole number.

Answer:

She is 40 years of age

Step-by-step explanation:

Let Joaquin age be j

Let Marjorie age be m

From the first part of the question;

j = 4 + m/2

Secondly;

m =3j - 32

Multiply equation i through by 2

2j = 8 + m

m = 2j-8

Equate both m

2j-8 = 3j-32

3j-2j = 32 -8

j = 24

m = 2j-8

m = 2(24)-8

m = 48-8

m = 40

Answer:

  x²/9 +y²/64 = 1

Step-by-step explanation:

You want the figure defined by x = 3sin(θ) and y = 8cos(θ) to be described by an equation in rectangular form.

The trig identity sin(x)² +cos(x)² = 1 is helpful here.

  x = 3sin(θ)   ⇒   x/3 = sin(θ)

  y = 8cos(θ)   ⇒   y/8 = cos(θ)

Combining these using the above identity, we have ...

  (x/3)² +(y/8)² = 1 . . . . . . the equation of an ellipse

We can simplify the denominators to ...

  x²/9 +y²/64 = 1

__

Additional comment

The attached graph uses different colors and textures to show the two forms of expressing the graph result in the same figure.

Answer:

=\begin{pmatrix}294&168\end{pmatrix}

Step-by-step explanation:=\begin{pmatrix}294&168\end{pmatrix}

Solving a system of equations, we will see that the length is 3cm and the width is 10cm.

For a rectangle of length L and width W, the perimeter is:

P = 2*(W + L)

And the area is:

A = L*W

Here we know that the area is 30 centimeters squared, and the perimeter is 26 centimeters, then we can replace that in the two equations above so we get:

26cm = 2*(W + L)

30cm^2 = L*W

This is a system of equations, to solve this, we need to isolate one of the variables in one of the equations. I will isolate L on the first equation:

26cm = 2*(W + L)

26cm/2 - W = L

13cm - W  = L

Now we can replace that in the area equation:

30cm^2 = (13cm - W)*W

Now we need to solve the quadratic equation:

30cm^2 = 13cm*W - W^2

-W^2 + 13cm*W - 30cm^2 = 0

The solutions are:

W = (-13cm ± √( (13cm)^2 - 4*(-30cm^2)*(-1))/(2*-1)

W = (-13cm ± 7cm)/-2

The positive solution is:

W = (-13cm - 7cm)/-2 = 10cm

Then the width is 10 cm, and the length is:

13cm - 10cm  = L = 3mc

Then the rectangle is 10cm by 3cm.

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Answer:

Hello,

R(2)=-2

Step-by-step explanation:

\(F(x)=q_1(x)*x+0 \ , \ F(0)=0 \\F(x)=q_2(x)*(x+1)+1\ , \ F(-1)=1\\\\F(x)=q_3*x*(x+1)+(a*x+b)\\\\if\ x=0\ then\ F(0)=0=a*0+b \Longrightarrow\ b=0\\\\if\ x=-1\ then\ F(-1)=1=a*(-1)+b \Longrightarrow\ a=-1\\\\\\R(x)=ax+b=-x\\R(2)=-2\\\)

Answer: Your welcome!

Step-by-step explanation:

a) In 5 years' time, there are expected to be 136 beetles in the area of rainforest (20 * 1.66^5 ≈ 135.9, rounded to 136).

b) In 20 years' time, there are expected to be 8,000 beetles in the area of rainforest (20 * 1.66^20 ≈ 8,002.2, rounded to 8,000).

The formula for the confidence interval standard error would be:

CI SE = 1.96 * sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

To calculate the standard error for the difference in sample proportions, we use the following formula:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

Where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes.

To calculate the confidence interval standard error, we need to multiply the standard error by the appropriate critical value from the t-distribution.

Assuming a 95% confidence interval with degrees of freedom equal to (n1 - 1) + (n2 - 1), we can use a t-distribution table or calculator to find the critical value, which is typically 1.96.

So, the formula for the confidence interval standard error would be:

CI SE = 1.96 * sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

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