Please Help Asap I Need To Turn In In 10 Mins (2024)

Answer: a) The probability of answering "F" to a single true-false question is 1/2. Therefore, the probability of answering "F" to all six questions is (1/2)^6 = 1/64.

b) To find the probability that at least one answer is "T", we can use the complement rule and find the probability that all six answers are "F". The complement rule states that the probability of an event happening is equal to 1 minus the probability of it not happening.

So, the probability that at least one answer is "T" is 1 - (1/64) = 63/64.

Step-by-step explanation:

The probability will be 1/17 i.e. A.

What exactly is probability?

Probability expresses the likelihood of an event. This mathematical branch of study is concerned with the occurrence of a random event. The value ranges from zero to one. Probability is used in mathematics to anticipate the possibility that events will occur.

Probability refers to the possibility of something happening. This fundamental idea in probability theory is also used by the probability distribution. Before determining the chance of a certain event occurring, we must first determine the total number of possibilities.

The probability that an event will occur P(E) = the number of positive outcomes divided by the total number of outcomes.

Now,

Total cards =52

No. of ways to select 2 cards=52C₂

=52*51*50!/50!*2!=51*26

Now to select two cards with same values we have no. of ways =13*6

so probability that two cards are chosen at random from a deck of 52 and they have the same value=13*6/26*51=3/51=1/17

Hence,

The probability will be 1/17.

To know more about probability visit the link

https://brainly.com/question/30034780?source=aidnull

#SPJ4

The value of cot θ is [tex]\frac{15}{4\sqrt{9} }[/tex].

What are Trigonometric Functions?

Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Given that, the circle is unit circle.

In polar form, x = r cos(θ)

Since it is unit circle, r = 1

x = Cos (θ)

Cos (θ) = 15/23

Sin (θ) = [tex]\sqrt{1 - (15/23)^2}[/tex]

= [tex]\sqrt{\frac{304}{529} }[/tex]

= [tex]\sqrt{\frac{19*16}{23^2} }[/tex]

= [tex]\frac{4\sqrt{19} }{23}[/tex]

Cot (θ) = cos (θ) / sin (θ)

= (15/23) / ([tex]\frac{4\sqrt{19} }{23}[/tex])

= [tex]\frac{15}{4\sqrt{9} }[/tex]

Hence the value of cot (θ) is [tex]\frac{15}{4\sqrt{9} }[/tex].

Learn more about Trigonometric Functions here :

https://brainly.com/question/25122825

#SPJ1

Answer:

Step-by-step explanation:

The expression (2x + 3y)² - 9 can be fully factorised as follows:

(2x + 3y)² - 9 = (2x + 3y + 3)(2x + 3y - 3)

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

The expression is now fully factorised.

The new solid's surface area, which is 490 cm², is created by combining two identical cubes, each of which has a surface area of 294 cm².

What is the Total Surface Area of a Cube?

The total area of a cube's faces that cover it is the surface area of the object. The cube's surface area is calculated as six times the square of its side lengths. 6a², where an is the cube's side length, serves as its representation. In essence, it is the overall surface area.

Total surface area of a cube = 6a², where a is the length of each of the sides.

Let the surface area of each identical cube = 294 cm²

The length of each side be

6a² = 294

simplifying the above equation, we get

a² = 294/6

a² = 49

a = √49

a = 7 cm

Surface area of the new solid

= surface area of the two identical cubes - 2(area of the surface where both are joined)

Surface area of the new solid = 2(294) - 2(7²) = 490 cm²

Therefore, the surface area of the new solid be 490 cm².

The complete question is;

Two identical rectangular prisms and two identical cubes are joined. Answer the questions to find the new solid’s surface area. The numbers are 9 and 4.

To learn more about surface area of cube refer to:

brainly.com/question/410493

#SPJ1

Answer:

0.65*10=6.5

10*0.35=3.5

10-3.5=6.5

So, it is decreasing by 35%

Step-by-step explanation:

Answer: 3(1p)

Step-by-step explanation:

Answer: 3+3p or 3p+3

Step-by-step explanation:First write the information given. You will need to multiply the quantity 3 by each of the terms one and p. It should look something like this 3(1+p). Multiply three to both quantities and the answer yields 3+3p or 3p+3.

Random sampling error is the error due to the particular sample selected being an imperfect representation of the population of interest.

What is random sampling error?

When an analyst selects a sample that is not a true representation of the entire population of data, they commit a statistical error known as a sampling error. The results of the sample therefore do not fairly represent the results of the entire population.

Sampling is a type of analysis where a small sample of observations are selected from a larger population. The selection process has the potential to result in both sampling errors and non-sampling errors.

According to the definition, random sampling error is the error that results from the particular sample being chosen not accurately representing the population of interest. It could be described as the difference between the true mean value for the sample and the true mean value of the population.

Learn more about error here:

https://brainly.com/question/5290588

#SPJ4

The probability that the thread length of a randomly selected bolt is farther than 2. 5 standard deviations from its mean value is 0.62%.

If the thread length of bolts is normally distributed, then we can use the concept of probability to determine the probability that the thread length of a randomly selected bolt is farther than 2.5 standard deviations from its mean value.

This can be calculated using the area under the normal curve.

Specifically, the area to the right of 2.5 standard deviations is 0.0062, meaning that there is only a 0.0062 probability (or 0.62%) that the thread length of a randomly selected bolt is farther than 2.5 standard deviations from its mean value

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

The mean of the data set is $ 611 and the median of the set is $ 47

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

Let the mean of the data set be A = $ 611

The number of college freshmen = 5

Now , the equation will be

Let the number of freshmen be represented as N = { a , b , c , d , e }

So , the mean is A = ( a + b + c + d + e ) / 5

On simplifying the equation , we get

( a + b + c + d + e ) = $ 3,055 be equation (1)

And , the median of the data set is M = $ 47

So , the median is the middle data point in the list.

Let the list be represented as = { a , b , $ 47 , d , e }

Let the value of a = $ 27

Let the value of b = $ 30

Let the value of d = $ 1,000

Let the value of e = $ 1,951

So , the mean of the set is A = ( 27 + 30 + 47 + 1000 + 1951 ) / 5

On simplifying the equation , we get

The mean of the set is A = 3055 / 5

The mean of the set is A = $ 611

Hence , the median is $ 47

To learn more about median click :

https://brainly.com/question/28687994

#SPJ1

Answer: To determine the length of the paths connecting the entrance to the opposite entrance, we first need to find the midpoint of each side of the park. Then, we will use the distance formula to calculate the distance between each pair of midpoints.

Let's begin by finding the midpoint of each side of the park.

JK: (-3 + 3, 1 + 3) / 2 = (0, 2)

KL: (3 + 5, 3 - 1) / 2 = (4, 2)

LM: (5 - 1, -1 - -3) / 2 = (2, -2)

MJ: (-1 + -3, -3 + 1) / 2 = (-2, -1)

Next, we'll use the distance formula to calculate the distance between each pair of midpoints.

JK: sqrt((4 - 0)^2 + (2 - 2)^2) = sqrt(16 + 0) = 4

KL: sqrt((2 - 4)^2 + (-2 - 2)^2) = sqrt(16 + 16) = 4 sqrt(2)

LM: sqrt((-2 - 2)^2 + (-1 + 2)^2) = sqrt(16 + 9) = sqrt(25) = 5

MJ: sqrt((-2 - 0)^2 + (-1 - 2)^2) = sqrt(4 + 9) = sqrt(13)

The total length of the paths is 4 + 4 sqrt(2) + 5 + sqrt(13), which when rounded to the nearest whole number is 14.

Step-by-step explanation:

The bar diagram could describe the following real-world problem:

"Peter has an amount of $12 in a piggy bank. If he spends two-thirds of his piggy bank, what does he have now?"

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have to give that;

A bar diagram is shown in the figure.

Now, We can make a real-world problem that could represent the bar diagram.

So, We get;

"Peter has an amount of $12 in a piggy bank. If he spends two-thirds of his piggy bank, what does he have now?"

Hence, the above question represents the bar diagram shown.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ1

The question seems incomplete, the missing graph has been attached below.

As a fraction, the probability of each sample point is 8/9.

What is probability?

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

(a) The sample points in this experiment are:

V1V1, V1V2, V1V3, V2V1, V2V2, V2V3, V3V1, V3V2, V3V3

(b) Since the vendors are selected at random each day, each sample point has the same probability of occurrence. There are a total of 3 * 3 = 9 possible sample points, so each sample point has a probability of 1/9.

(c) Let A denote the event that the same vendor gets both orders, and let B denote the event that V2 gets at least one order.

P(A) is the probability that the same vendor gets both orders, so it is the sum of the probabilities of the sample points V1V1, V2V2, and V3V3. P(A) = 1/9 + 1/9 + 1/9 = 3/9.

P(B) is the probability that V2 gets at least one order, so it is the sum of the probabilities of the sample points V2V1, V2V2, and V2V3. P(B) = 1/9 + 1/9 + 1/9 = 3/9.

P(AUB) is the probability of either A or B occurring, so it is the sum of the probabilities of all 9 sample points. P(AUB) = 9/9 = 1.

P(ANB) is the probability of both A and B occurring, so it is the sum of the probabilities of the sample points V2V2. P(ANB) = 1/9.

So, P(AUB) - P(ANB) = 1 - 1/9 = 8/9.

The probability of each sample point as a fraction is 8/9.

To know more about probability,

https://brainly.com/question/30034780

#SPJ4

Research has found that people are happiest when they have 6 hours a day of face-to-face contact with others.

What is an experiment ?

A method used in a controlled environment to find an unknown effect or law, test or establish a hypothesis, or provide an example of an established law

In the scenario described, individuals are chosen at random to participate in a new intervention, which appears to be an example of an experiment.

Research has found that people are happiest when they have 6 hours a day of face-to-face contact with others.

To know more about experiment from the link given below.

https://brainly.com/question/26117248

#SPJ4

Research has found that people are happiest when they have 6 hours a day of face-to-face contact with others.

What is an experiment ?

A method used in a controlled environment to find an unknown effect or law, test or establish a hypothesis, or provide an example of an established law

In the scenario described, individuals are chosen at random to participate in a new intervention, which appears to be an example of an experiment.

Research has found that people are happiest when they have 6 hours a day of face-to-face contact with others.

To know more about experiment from the link given below.

brainly.com/question/26117248

#SPJ4

As a result, the answers to the above quadrilateral issue are A.5, B.2, 3, C.-1/5, and D.2/3.

what is quadrilateral ?

In terms of the geometry, a quadrilateral is really a four-sided polygon with four corners and four corners. Its origins originate from the Latin terms tetra and latus (meaning "side"). A rectangle is a this double form with four sides, 4 vertices, with four corners. Two main types of convex and convex exist. Convex bedbugs or bed bug also have a number of subclasses, such as trapezoids, parallelograms, quarters, rhombuses, and squares. Corresponding points come in many irregular configurations, such as quadrilaterals, trapezoids, rectangles, kites, square, and rhombuses.

given

The vertices of the quadrilateral ABCD are A(-4, -5), B(-3, 0), C(0, 2), and D. (5, 1).

We need to determine whether ABCD is a trapezoidal shape or not.

We are known that a trapezoid has one set of parallel opposed sides, making it a quadrilateral. Moreover, the slopes of two parallel lines are equal.

To start, the slopes of sides AB, BC, CD, and DA will be calculated.

It has

The incline for

AB =0+5/ -3+4

5. In the first step.

Step 2: The slope in BC is

=> 2-0 / 0+3

=> 2/3.

Step 3: The CD's gradient is

1-2/5-0 is equivalent to -1/5.

The gradient of DA is equal to in step four.

=>-5.1/-4.4/2.3

=>2/3.

As a result, the answers to the above quadrilateral issue are A.5, B.2, 3, C.-1/5, and D.2/3.

To know more about quadrilateral visit:

https://brainly.com/question/29934291

#SPJ1

Answer:

[tex]S_{18}=-792[/tex]

Step-by-step explanation:

The given arithmetic series is:

24 + 16 + 8 + ...

From inspection of the given series, the first term is 24.

The common difference is the difference between consecutive terms.

Therefore, the common difference of the given series is -8 as each term is 8 less than the previous term.

[tex]\boxed{\begin{minipage}{7.3 cm}\underline{Sum of the first $n$ terms of an arithmetic series}\\\\$S_n=\dfrac{1}{2}n[2a+(n-1)d]$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $d$ is the common difference.\\ \phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

To find the sum of the first 18 terms of the given series, substitute a = 24, d = -8 and n = 18 into the sum formula.

[tex]\implies S_{18}=\dfrac{1}{2}(18)\left[2(24)+(18-1)(-8)\right][/tex]

[tex]\implies S_{18}=9\left[48+(17)(-8)\right][/tex]

[tex]\implies S_{18}=9\left[48-136\right][/tex]

[tex]\implies S_{18}=9\left[-88\right][/tex]

[tex]\implies S_{18}=-792[/tex]

Therefore, the sum of the first 18 terms of the given arithmetic series is -792.

Answer:

not sure but slope doesn't belong

Step-by-step explanation:

Answer:

Radius = 5 units

Diameter = 10 units

Circumference = 10π units

Area = 25π square units.

Step-by-step explanation:

i choose diameter.

Let's say the diameter of the circle is 10 units.

The radius of the circle can be found by dividing the diameter by 2:

Radius = Diameter / 2 = 10 / 2 = 5 units

The circumference of the circle can be found using the formula:

Circumference = 2πr = 2π * 5 = 10π units

The area of the circle can be found using the formula:

Area = πr^2 = π * 5^2 = 25π square units.

So, for a circle with a diameter of 10 units:

Radius = 5 units

Diameter = 10 units

Circumference = 10π units

Area = 25π square units.

The equilibrium point for the market is reached when the number of units is 955 and the price is $82.8.

What is meant by the equilibrium of supply and demand?

The only price at which consumer and producer desires coincide is equilibrium, or when the quantity of the good that consumers want to buy equals the quantity that producers want to sell.

The equilibrium quantity is the amount that both parties seek equally. Any other price causes the market to be out of equilibrium since the amount requested does not match the quantity supplied. On a graph, the equilibrium is represented by the intersection of the supply and demand curves (S and D).

Given,

Demand equation for a cordless screwdriver: p = 91.4 -0.009x

Supply equation for the cordless screwdriver: p=6.4+0.08x

where,

p = price in dollars

x = number of units

The equilibrium point for this market is

demand = supply

91.4 -0.009x = 6.4+0.08x

85 = 0.089x

x = 955 units

Price = 6.4 + 0.08 * 955 = $82.8

The equilibrium point for the market is reached when the number of units is 955 and the price is $82.8.

To learn more about equilibrium, follow the link.

https://brainly.com/question/26075805

#SPJ4

ANSWER -

The slope of a line can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points on the line. Substituting the values from the given points, we have:

m = (82.5 - 55) / (15 - 10) = 27.5 / 5 = 5.5

So the slope of the line is 5.5.

The z score is -0.18 and 57 % of all Atlantic cod have more than 49.23 cm in length and

What is a z-score?

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the probability that a randomly selected Atlantic cod has a length of 53.68 cm or less be represented as P

Now , the equation will be

The observed value of be x

The mean of the sample μ = 49.9 cm

The standard deviation of the sample σ = 3.74 cm

Now , z-score is calculated using the formula:

z = (x - μ)/σ

And , the length of 57% of all Atlantic cod have more than is calculated by

Now , the z score with a p value of 0.43 is

z = -0.18

Substituting the values in the equation , we get

-0.18 = ( x - 49.9 ) / 3.74

Multiply by 3.74 on both sides of the equation , we get

-0.6732 = x - 49.9

Adding 49.9 on both sides of the equation , we get

x = 49.2268 cm

Hence , 57 % of all Atlantic cod have more than 49.2268 cm in length and the z score is -0.18

To learn more about z-score click :

https://brainly.com/question/25638875

#SPJ1

From the data that teacher described, the following information could be determined:

1. The distribution of midterm and final exam scores for the students. This would allow you to see the range of scores and the overall performance of the students.

2. The average midterm and final exam scores for the students. This would give you an idea of the average performance of the students on each exam.

3. The correlation between final exam and midterm scores. This would indicate if there were a relationship between performance on the midterm and final exams.

4. The distribution of total points calculated for each student. This would allow you to see the range of total scores and the overall performance of the students.

To know more about Data:

https://brainly.com/question/10980404

#SPJ4

Answer:

12%

4.44 / 37

Step-by-step explanation:

Answer: 12%

Step-by-step explanation: 4.44 is 12% of 37.

To solve, use this example:

[tex]\frac{x}{100} = \frac{4.44}{37}[/tex]

First, divide the part percent by the whole percent. That'd be 4.44 / 37 which is 0.12. Now, we need to multiply 100 by 0.12 is 12. So, 4.44 is 12% of 37. I hope this helped!

In this matrix question where percentages are listed, answers to all these questions are written below.

In the matrix given in the image, we can calculate following things:

a. S32 is a value that represents the percentage of sick students in the third grade of the elementary school. From data we can say it is 10%

b. P22 is a value that represents the number of middle school students in the second grade. From data we can say there are 795 such boys.

c. To find[tex][s] * [p][/tex] we need to multiply the percentage of students in each category by the corresponding population in each grade level.

[tex]\left[\begin{array}{ccc}1190.75&1311.75\\1194&1366.25\\1233&1405.5\end{array}\right][/tex]

Columns: Girls, Boys

Rows: Susceptible, Sick, Infected

d. [tex][[s] * [p]]21[/tex] represents the number of sick students in the second grade of the elementary school.

It represents that 1194 girls are sick.

e. To find the number of sick girls, we need to multiply the number of girls in each grade level by the corresponding percentage of sick students.

1194

f. To find the number of infected boys, we need to multiply the number of boys in each grade level by the corresponding percentage of infected students.

1406

Learn more about matrices here:

https://brainly.com/question/14417284

#SPJ4

Complete Question: Image is uploaded for it.

a. Describe what S32 value is and what it will represent

b. Describe what P22 value is and what it will represent

c. Find [tex][s] * [p][/tex]

d. Describe what[tex][[s] * [p]]21[/tex] value is and what it will represent

e. How many sick girls are present?

f. Number of boys infected?

Answer: 35 mph

Step-by-step explanation:

We will write this as a unit rate of miles per hour. To do this, we will divide the miles by the hours.

70 miles / 2 hours = 35 miles per hour

The correct statement representing the function f(x) = 8x³ is given as follows:

The function is odd because f(-x) = -f(x).

What are even and odd functions?

To classify a function as even or odd, we must observe the relation between f(x) and f(-x), as follows:

In even functions, we have that the statement f(x) = f(-x) is true for all values of x.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x.If none of the above statements are true for all values of x, the function is neither even nor odd.

For any ax³ function, we have that f(-x) = -f(x), hence the function is odd and the fourth statement is correct.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The total number of children that ordered Sandwiches is 1 5/6

What is the total number of children that ordered Sandwiches

From the question, we have the following parameters that can be used in our computation:

Class 1 = 5/6 Hamburger

Class 2 = 2/4 Hot days

Class 3 = 1/2 Chicken wings

So, the total number of children that ordered Sandwiches is

Total = 5/6 + 2/4 + 1/2

Evaluate

Total = 1 5/6

Hence, 1 5/6 of the three classes ordered sandwiches

Read more about fraction at

https://brainly.com/question/1622425

#SPJ1

The density function is given by [tex]f_U(u) = (1/2π)e^(-u/2).[/tex]

The density function of [tex]U = Y1^2 +Y2^2[/tex] is given by the formula [tex]f_U(u) = (1/2π)∫_0^∞ f_Y1(y_1)f_Y2(√(u-y_1^2)) dy_1[/tex]. This can be calculated as follows:

Let u ≥ 0, then

[tex]f_U(u) = (1/2π)∫_0^∞ (1/√(2π))e^(-(y_1^2/2))(1/√(2π))e^(-(√(u-y_1^2)^2/2)) dy_1[/tex]

[tex]= (1/2π)∫_0^∞ (1/2π)e^(-u/2) dy_1= (1/2π)e^(-u/2) ∫_0^∞ (1/2π) dy_1= (1/2π)e^(-u/2)[/tex]

Therefore, the density function is given by [tex]f_U(u) = (1/2π)e^(-u/2).[/tex]

Learn more about function here:

https://brainly.com/question/29162580

#SPJ4

So, using a heater with a heating output of 5900 kJ/min, it will take roughly 9.05 hours to heat the water in the hot tub from 65°F to 104°F.

What kind of energy does heating use?

When the temperature rises, atoms and molecules move faster and collide, creating thermal energy (also known as heat energy). Thermal energy is the energy that results from the heated substance's temperature.

How do you calculate kW for heating?

Calculate the square footage or square metres of your room. The room's dimensions are then multiplied by its width, height, and length. Then double this amount by 6. For BTUs or 0.0606 for kW, respectively.

To know more about Heating visit:

https://brainly.com/question/1429452

#SPJ1

For the inequality k≥0, all the integers which satisfies the given inequality are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

What are inequalities?

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The inequality,

k ≥ 0

The inequality k ≥ 0 means that k is greater than or equal to 0. This can be represented on a number line as follows:

-------------k-------------

where the line represents all real numbers and the arrow points to the right to indicate that k can be any real number greater than or equal to 0.

All one-digit integers that satisfy the inequality k ≥ 0 are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

To know more about Inequalities check:

https://brainly.com/question/30228778

#SPJ1