HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!

The probability that a child chosen at random from the class has both a cat and a dog is 1/10.

Suppose b is the total number of kids that have both:

• children having a cat Only must be 14 - b

• children having a dog Only must be 19 - b

We also get:

We also know there are 30 kids, therefore

⇒ (14 - b) + b + (19 - b) = 30

⇒ 33 - b = 30

⇒ b = 3

Consequently, we now understand:

3/30 = 1/10

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The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

The value of the net electrostatic force on the 5.0-nC

charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),

charge Q2 = −1.0 nC is at (0, 0.10 m), and

charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:

Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),

Charge Q2 = -1.0 nC is at (0, 0.10 m),

Charge Q3 = 5.0 nC is at (0, 0)

The formula to find out the force on the third charge Q3 is:

                      F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2

Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC

For the third charge Q3, the distance from Q1 is:

                                r1 = √(0.3^2 + 0^2) = 0.3 m

And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m

Substituting all the given values in the formula:

                               F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N

Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

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The study that found the stronger relationship between a full moon and behavior is Dr. James' study which concluded that there is a -0.72 correlation between the two variables.

In correlational research, correlation coefficients range from -1 to +1. A correlation of -1 indicates a perfect negative correlation, which means that as one variable increases, the other variable decreases. A correlation of +1 indicates a perfect positive correlation, which means that as one variable increases, the other variable also increases. A correlation of 0 indicates no correlation between the two variables.

Therefore, a correlation coefficient of -0.72 indicates a strong negative correlation between a full moon and behavior, while a correlation coefficient of +0.56 indicates a moderate positive correlation between the two variables. The closer the correlation coefficient is to -1 or +1, the stronger the relationship between the variables.

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Answer:

The question is asking what is the volume of water in the full pool.  It is 70 liters.

Step-by-step explanation:

Let P represent the volume of a full pool.

"2/5 of a kiddy pool was filled with water" can be written as:

(2/5)P.

"After pouring out 5/7  of the amount of [I assume from the 2/5P] water in the pool" can be written as:

(2/7)(2/5)P, or (4/35)P       [This represents the amount of water remaining in the pool after the above shenanigans.]

The we are told that when 62 liters are added back to the pool, it is full.  That can be written as:

62 + (4/35)P = P  [Add 62 liters to what was remaining. ((4/35)P), and we'll have P, a full pool, for a cool fool. [sorry]

62 = (31/35)P

P = 62(35/31)

P = 70 liters

The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 \(\leq\) x \(\leq\) 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

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The evaluated probability of randomly choosing a  participant dreams in black and white or color is 0.13, under the condition that the given Students are passing from psychology surveyed 200 of their fellow students regarding their dreams.

Probability means the possible chances of an event occurring in a particular time frame. It is a considered a branch of mathematics that deals with the occurrence of a random event.

The value is presented from zero to one. Probability has been induced in math to predict how prone are the events going to occur. The meaning of probability is basically the express  something that is likely to happen.

Black Probability = 4/200=0.02

White Probability = 12/200=0.06

Probability of all other color = 10/200=0.05

So, probability of randomly choosing a participant dreams in black and white or color =0.02+0.06+0.05=0.13

Therefore, the probability of randomly selecting participant dreams in black and white or color = 0.13

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The complete question is

Students majoring in psychology surveyed 200 of their fellow students about their dreams. The results of the survey are shown in the Venn diagram. Let B be the event that the participant dreams in black and white and let C be the event that the participant dreams in color.

What is the probability that a randomly selected participant dreams in black and white or color?

Answer: B Stan has $42 and Cory has $108.

Step-by-step explanation:

The awnser is Stan has $42 and Cory has $108 and $108 + $42 = $150.

                            CAN YOU PLEASE MARK ME BRAINLY.

Answer:

ans below

Step-by-step explanation:

when rectangle is rotated, hemisphere is formed with r =12cm

volume = 2/3πr^3

= 1152π cm^3

Answer: 5 hours  

Step-by-step explanation:

Ishwar's speed per hour:

Number of 15 minute periods in an hour:

= 60 /15

= 4 periods

Ishwar reads at 5 pages in 15 minutes so in an hour Ishwar would read:

= 4 * 5

= 20 pages per hour

Annie = 15 pages in an hour.

Ishwar number of hours to read 300 pages:

= 300 / 20

= 15 hours

Annie number of hours to read 300 pages:

= 300 / 15

= 20 hours

Difference = 20 - 15

= 5 hours  

Answer: 3

Step-by-step explanation:

4x=2x+6

4x-2x=6

2x=6

x=6/2

x=3

The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).

One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)

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Answer: No

Step-by-step explanation:

\(\sqrt[3]{8}=2\)

So, \(\sqrt[3]{-8}=\sqrt[3]{8*-1}=2*\sqrt[3]{-1}=2*-1^{1/3}\)

Given:

The linear equation is, y = 3.

The objective is to fill the table with the given values of x in the table.

Explanation:

The x values are given as x = 0, -3, -4, -2, 4.

Since the given equation contains no x variable, the result of the equation will always be 3.

Thus, the table values are,

Hence, the table of values for the linear equation y = 3 is obtained.

Answer:

21

Explanation:

To solve this problem, you substitute in the 5 for the x creating this equation: f(5)=6+3(5).

f(5)=15+6

f(5)=21

Answer: 279.36 cm

Step-by-step explanation: if you split the shape into 2 different shapes and do 6x 6x 7.2 =25.92 and then 2.8 x 7.2=20.16 then you add then together and get 279.36

Answer: 63.2 cm²

All work is shown in the picture below.

The sun of the 3 inside angles of a triangle = 180 degrees.

A circle = 360 degrees.

The sum of both would be 180 + 360 = 540 degrees.

Answer:

3 angles in a triangle add up to 180

And 360 in a circle

Answer:

d

Step-by-step explanation:

Answer:

Domain: 0,2,3

Range: -1,-3,-2

Step-by-step explanation:

To stay at the same level on the graph of f(x, y) = y cos(πx) − x cos(πy) + 16 starting from the point (2, 1, 19), you should walk in the direction of the gradient vector (∂f/∂x, ∂f/∂y) at that point.

The gradient vector (∂f/∂x, ∂f/∂y) represents the direction of steepest ascent or descent on the graph of a function. In this case, to stay at the same level, we need to find the direction that is perpendicular to the level surface.

First, we calculate the partial derivatives of f(x, y):

∂f/∂x = -πy sin(πx) + cos(πy)

∂f/∂y = cos(πx) + πx sin(πy)

Evaluating the partial derivatives at the point (2, 1, 19), we get:

∂f/∂x = -π sin(2π) + cos(π) = -π

∂f/∂y = cos(2π) + 2π sin(π) = 1

So, the gradient vector at (2, 1, 19) is (-π, 1).

This means that to stay at the same level, you should walk in the direction of (-π, 1). The x-component of the vector tells you the direction in the x-axis, and the y-component tells you the direction in the y-axis.

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The probability of picking a red ball is 2/3.

As given in the student question,

The probability that a randomly selected person would be a protestant and at the same time be a democrat or a republican is not given in the problem statement.

Hence, it cannot be determined without further information.

Probability is the branch of mathematics that deals with the study of uncertainty.

It provides a framework for analyzing random events that occur in the real world.

Probability helps us to estimate the likelihood of a particular event occurring. It helps us to make informed decisions when faced with uncertain outcomes.

It plays a critical role in many fields such as science, engineering, economics, and finance.

Probability formula:

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.

The formula for probability is given by:

P (A) = Number of favorable outcomes/ Total number of outcomes

where P (A) represents the probability of event A.

Example:

Suppose we have a bag containing 10 red balls and 5 blue balls.

The total number of outcomes = 10 + 5 = 15

The number of favorable outcomes = 10P (Red ball) = 10/15 = 2/3

Therefore, the probability of picking a red ball is 2/3.

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Answer:

72

Step-by-step explanation:

In order to find the solution to this problem, you would first need to divide 54 by 3, than multiply by 4. You could also multiply 54 by the reciprocal of 3/4, which is 4/3.

(a) The initial amount of salt in the tank is 90 kg.

(b) After 1.5 hours, the amount of salt in the tank is approximately 114.3 kg.

(c) The concentration of salt in the solution approaches 0 kg/L as time approaches infinity.

(a) To find the amount of salt in the tank initially, we can use the given information that the tank initially contains 90 kg of salt.

Amount of salt initially = 90 kg

(b) To find the amount of salt in the tank after 1.5 hours, we need to consider the rate at which pure water enters the tank and the rate at which the solution drains from the tank. In 1.5 hours, the net change in the water volume is (12 L/min - 6 L/min) * (1.5 hours * 60 min/hour) = 540 L.

Since the concentration of salt remains constant, the amount of salt in the tank after 1.5 hours can be calculated using the initial concentration:

Amount of salt after 1.5 hours = initial concentration * total volume after 1.5 hours

                            = (90 kg / 2000 L) * (2000 L + 540 L)

                            = (90 kg / 2000 L) * 2540 L

                            = 114.3 kg (rounded to one decimal place)

Therefore, the amount of salt in the tank after 1.5 hours is approximately 114.3 kg.

(c) As time approaches infinity, the concentration of salt in the solution will approach a certain value. Since the tank is assumed to be large enough to hold all the solution, the incoming pure water continuously dilutes the salt concentration. The concentration of salt in the solution will tend towards zero.

Therefore, the concentration of salt in the solution in the tank as time approaches infinity is 0 kg/L.

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According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

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Start Fraction 1 Over 8 End Fraction% higher; $1018.75.

A bond listing is a table that provides information about a specific bond issued by a company, municipality, or government agency. It typically includes details such as the bond's name or abbreviation, current yield, volume traded, closing price, net change, and other relevant information.

Here are some commonly used terms in a bond listing:

Name or abbreviation: This identifies the company or entity that issued the bond.

Current yield: This is the bond's annual yield, expressed as a percentage of the bond's current market price.

Volume: This is the total number of bonds that were traded during the specified period.

Close: This is the last traded price of the bond at the end of the trading session.

Net change: This is the change in the bond's price from the previous trading session's closing price.

To calculate the previous closing price of the bond, we need to subtract the net change from the close and convert the mixed number to a decimal. From the given information in the table, we have:

Close = 101 and three-fourths

Net change = -1÷8

To subtract fractions, we need a common denominator. In this case, the common denominator is 8. So, we can rewrite 101 and three-fourths as an improper fraction:

101 and three-fourths = (4 x 101) + 3 = 407÷4

Now, we can subtract the net change:

Close - Net change = 407÷4 - 1÷8 = (8 x 407÷4 - 1)/8 = (3256 - 1)÷8 = 3255÷8 = 407.1875

Therefore, the previous closing price of the bond was $407.1875.

Option (d) is the correct answer: Start Fraction 1 Over 8 End Fraction% higher; $1018.75.

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Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.

Length = 1 yard 3 inches = 36 inches + 3 inches = 39 inches

Width = 1.5 feet = 1.5×12 = 18 inches

Height = 20 inches

A.) The volume of the fish tank can be written as,

\(\rm \text{Volume of the Fish Tank} = Length \times Width \times Height\)

                                      \(= 39 \times 18 \times 20\\\\= 14,040\rm\ in^3\)

Thus, the volume of the fish tank is 14,040 in³.

B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,

\(\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons\)

Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,

\(\rm Water\ Needed = 30 \times 2 = 60\ gallons\)

As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.

Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.

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The distance between the two parallel planes 5x - y - 3z = -2 and 5x - y - 3z = 4 is \(\frac{6}\sqrt{35}\).

To find the distance between two parallel planes, we can use the formula:

Distance = \(\frac{|d| }{\sqrt{(a^2 + b^2 + c^2)}}\)

where a, b, and c are the coefficients of the normal vector of the planes, and d is the difference between the constant terms of the planes.

The normal vector of both planes is [5, -3, 1]. Notice that the normal vector is the same for both planes since they are parallel.

The constant terms of the planes are -2 and 4.

Calculating the difference in constant terms:

d = 4 - (-2) = 6.

Now, we can calculate the distance using the formula:

Distance = \(\frac{|d|}{(a^2 + b^2 + c^2)}\)

= \(\frac{|6|}{\sqrt{(5^2 + (-3)^2 + 1^2)} }\)

= \(\frac{6}{\sqrt{(25 + 9 + 1)} }\)

= \(\frac{6}{\sqrt{35} }\).

Therefore, the distance between the two parallel planes 5x - y - 3z = -2 and 5x - y - 3z = 4 is \(\frac{6}{\sqrt{35} }\).

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Y, Y1, and Y2 follow chi-square distributions with n-1, n1-1, and n2-1 degrees of freedom. W1 and W2 are ratios of Y2 and their respective degrees of freedom minus one, and W1 can also be expressed as the ratio of Y1 divided by (n1-1) multiplied by Z1.

In the first part, Y represents the sum of squared deviations of the entire sample from its mean, divided by \(\sigma^2\), and it follows a chi-square distribution with n-1 degrees of freedom. Y1 represents the sum of squared deviations of the first n1 observations from their mean, divided by \(\sigma^2\), and it follows a chi-square distribution with n1-1 degrees of freedom. Similarly, Y2 represents the sum of squared deviations of the last n2 observations from their mean, divided by \(\sigma^2\), and it follows a chi-square distribution with n2-1 degrees of freedom.

In the second part, W1 and W2 are defined as ratios involving Y1, Y2, and their respective degrees of freedom minus one. Specifically, W1 is the ratio of Y2 divided by (n2-1) and Y1 divided by (n1-1), whereas W2 is the ratio of Y2 divided by (n2-1) multiplied by Z1. It's important to note that Y1 and Y2 are assumed to be independent, which allows for the calculation of these ratios.

In conclusion, Y, Y1, and Y2 follow chi-square distributions with degrees of freedom equal to n-1, n1-1, and n2-1, respectively. W1 and W2 are expressed as ratios involving Y1, Y2, and their respective degrees of freedom minus one, with W1 also including the multiplication by Z1. The independence of Y1 and Y2 enables the calculation of these ratios.

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Answer:

Answer:

91 1/9

Step-by-step explanation:

Because this is clearly a triangle, the total number of degrees all the angles add up to is 180 degrees. In this scenario, we have \(x+(8x-4)+77=180\)

Combining like terms, we have \(9x-4+77=180\)

Combining like terms again, we have \(9x+73=180\)

Subtracting 73 on both sides, we have \(107=9x\)

Dividing by 9 on both sides, we have \(x = 11 \frac{8}{9}\)

Plugging back into BC = 8x - 4, we have \(\frac{856}{9} - 4\)

Combining like terms, we have \(\frac{820}{9}\), which is \(91 \frac{1}{9}\)