What value of x makes the equation true?
5(x-3)-2x=6

The probability of drawing a red 7 and black face card is P ( A ) = 1/221

Given data ,

Let the probability of drawing a red 7 and black face card be P ( A )

Now , the compound probability is given by\

The number of red 7 cards = ( red of diamonds 7 + red of hearts 7 )

Probability of drawing a red 7 = 2/52

Now , the card is not replaced , so the total number of remaining cards = 51

And , number of black face cards = 6

Probability of drawing a black face card = 6/51

So , P ( A ) = 2/52 ( 6/51 )

P ( A ) = 12 / 2652

On simplifying , we get

P ( A ) = 1/221

Hence , the probability is P ( A ) = 1/221

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Answer:

c .19

Step-by-step explanation:

Answer:

            dsdsdaa

Step-by-step explanation:

Step-by-step explanation:

Ricardo ran 160 minutes last week at the park.  If he runs 15% more this week, how many total minutes will Ricardo run this week?

Answer:

4L + 8H = 512 (First answer)

You can take 92 low resolution pictures (second answer)

Step-by-step explanation:

Let L represent the number of low resolution pictures you take and H the number of high resolution pictures you can take.

You only have 512 megabytes.

Therefore, the number of megabytes the low resolution pictures you take plus the amount of megabytes the high rsolution you take in total should be 512

Therefore your equation is:

4L + 8H = 512 (First answer)

You took 18 high resolution pictures, so substitute 18 for H

4L+8(18) = 512

4L+144=512

subtract 144 on both sides

4L=368

divide by 4

L= 92

You can take 92 low resolution pictures

Hope this helps!

The measure of the fifth angle in the pentagon is 63°.

In a regular pentagon, all angles are equal. Since the angles at the top left and right sides each measure 146°, and there are two of them, the total angle measure of these two angles is 146° + 146° = 292°.

To find the measure of the fifth angle, we subtract the total angle measure of the two known angles from the total angle measure of a pentagon, which is 540° (since the sum of angles in a pentagon is 540°). Therefore, 540° - 292° = 248°.

As the pentagon has five angles of equal measure, the measure of each angle is 248° ÷ 5 = 49.6°.

However, since the bottom side is horizontal and the left and right sides are perpendicular to it, the angle adjacent to the horizontal side is a right angle of 90°. Hence, the measure of the fifth angle is 90° - 49.6° = 40.4°, which can be rounded to 40°.

To learn more about pentagon click here: brainly.com/question/27874618

#SPJ11

Answer:

=-5^2×(-5)÷5

=25×(-5)÷5

=-125÷5

=-25

The given integral ∫(4x^2 + 4x + 2) dx can be evaluated to obtain an expression in the form P arctan(ax + b) + c, where P, a, b, and c are constants. The common divisor of P and q is 1, and the value of P is 9.

In the given expression, the integral of 4x^2 is (4/3)x^3, the integral of 4x is 2x^2, and the integral of 2 is 2x. Summing up these integrals, we get (4/3)x^3 + 2x^2 + 2x + C, where C is the constant of integration.

To express this in the form P arctan(ax + b) + c, we need to manipulate the expression further. We can rewrite (4/3)x^3 + 2x^2 + 2x as (4/3)x^3 + (6/3)x^2 + (6/3)x, which simplifies to (4/3)x^3 + (6/3)(x^2 + x).

Comparing this with the form arctan(ax + b), we can see that a = √(6/3) and b = 1. Therefore, the expression becomes 9 arctans (√(6/3)x + 1) + C, where C is the constant of integration.

Learn more about common divisor here: brainly.com/question/13257989
#SPJ11

Answer:

-x-3

Step-by-step explanation:

(x+3) + the additive inverse = 0

the additive inverse = -(x+3)

Answer:

2 and -2

Step-by-step explanation:

because its absolute value which means the distance away from 0 so 2 and -2 are both 2 away from 0

Answer: B

Step-by-step explanation:

We can see that the graph is being compressed, so f(x) is being transformed into f(ax), where 0<a<1.

The only option that satisfies this is y=f(x/2).

Answer:

3rd option

Step-by-step explanation:

the denominator cannot be zero as this would make the expression undefined.

equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0 ← in standard form

(x - 9)(x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 2 = 0 ⇒ x = - 2

then

x = - 2, x = 9 ← are the excluded values

To find the least squares solution of the equation ax = b, where a is a vector [325345] and b is a vector [592], we can apply the method of least squares. the least squares solution for the given equation ax = b, where a = [325345] and b = [592], is x = b/a = [592/325345]. .

In the given equation ax = b, we have a vector a = [325345] and b = [592]. Since the equation is not solvable exactly (a vector cannot be divided by another vector), we seek a least squares solution. The least squares method finds the vector x that minimizes the difference between the left-hand side (ax) and the right-hand side (b) in a squared sense.

To solve for x, we set up a system of equations using the least squares approach. The goal is to minimize the residual, which is the difference between ax and b. We square each component of the residual and sum them up. This sum is called the residual sum of squares (RSS).

To find the least squares solution, we differentiate the RSS with respect to each component of x and set the derivatives to zero. Solving these equations yields the values of x that minimize the RSS. In this case, since a is a single-element vector, the least squares solution is simply x = b/a.

Thus, the least squares solution for the given equation ax = b, where a = [325345] and b = [592], is x = b/a = [592/325345].

Learn more about least square here:

https://brainly.com/question/30176124

#SPJ11

The price of the package of screws would be = $40

The quantity of nails bought by the customer = 6 packages

The quantity of screw bought by the customer = 7 packages of screw.

The total amount of the whole package = $74.35

The total number of packages = 6+7 = 13

For screws = 7/13 × 74.35

= 520.45/13 = $40

Learn more about division here:

https://brainly.com/question/25289437

#SPJ1

The panicked reaction to the Ebola virus outbreak in 2014 can be attributed to several barriers to reasoning rationally.

These barriers include:

1. Availability Bias: People tend to overestimate the probability of an event occurring based on how easily they can recall similar instances. In the case of the Ebola virus, the extensive media coverage and graphic images of the outbreak may have made it seem more widespread and dangerous than it actually was.

2. Negativity Bias: People are more influenced by negative information and tend to focus on potential risks and threats. The fear of contracting a deadly virus like Ebola overshadowed the low probability of actually being infected.

3. Loss Aversion: People tend to have a stronger emotional response to potential losses than to gains. The fear of losing one's health and safety to a deadly virus can lead to exaggerated reactions and panic.

4. Overgeneralization: People often make generalizations based on limited or incomplete information. In the case of the Ebola outbreak, the limited number of cases in the United States led to the assumption that the virus was highly contagious and posed a significant risk to the general population.

It is important to note that these barriers to reasoning can hinder our ability to think rationally and make informed decisions. Understanding these biases can help us approach situations with a more balanced and evidence-based perspective.

To know more about Ebola, refer here:

brainly.com/question/30365764#

#SPJ11

The metric system is an international system of measurement that uses the base unit of the meter to measure length or distance. The meter is defined as the length of the path traveled by light in a vacuum during a specific fraction of a second.

It is an essential unit of the International System of Units (SI) and is used to measure distance, length, height, and width in most countries worldwide.

The meter is equivalent to approximately 39.37 inches, making it a longer unit of measurement than the inch, which is used in the imperial system of measurement. The metric system is based on a decimal system, which makes it easier to convert between units of length. For instance, one kilometer (km) is equal to 1,000 meters, and one centimeter (cm) is equal to 0.01 meters.

The metric system is widely used in science, industry, and daily life. It is the standard system of measurement used in most countries worldwide, except for the United States, which primarily uses the imperial system of measurement. However, it is essential to understand the metric system, as it is becoming increasingly popular in many fields and is a fundamental part of global communication.

Learn more about metric system here:

https://brainly.com/question/12443484

#SPJ11

The probability of getting a sum of 7 from two dice given that the first die shows 1, 2, or 3 is 1/6.To find the probability, we need to determine number of favorable outcomes and total number of possible outcomes.

When the first die shows 1, 2, or 3, the possible outcomes for the second die to yield a sum of 7 are (6, 1), (5, 2), and (4, 3), respectively. This gives us three favorable outcomes.

Since each die has 6 possible outcomes, the total number of possible outcomes for the second die is 6.

Therefore, the probability is given by 3 favorable outcomes divided by 6 possible outcomes, which simplifies to 1/6.

To learn more about probability click here : brainly.com/question/32575887

#SPJ11

Answer:

There is no common factor

Step-by-step explanation:

The number of possible groups or combination of three men can be formed from 10 is 120.

According to the given question.

Total number of men in a company, n = 10.

Number of men to be selected, r = 3

As we know that, What is a combination in math?

Image result for what is combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Therefore, the number of possible groups or combination of three men can be formed from 10

= \(^{10} C_{3}\)

= 10!/ 3!7!

= 10(9)(8)/3(2)

= 5 × 3 × 8

= 120

The number of possible groups or combination of three men can be formed from 10 is 120.

Find out more information about number of possible groups or combination here:

https://brainly.com/question/3854382

#SPJ4

The given statement would be False.

What is Mean and Median ?

Mean: A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. Median: When a data collection is ordered from least to largest, the median is the midway value.

If there are a few very small values in a data set compared to the rest of the data, the median will be larger than the mean.

The median is the middle value in a set of data and is not affected by extreme values, while the mean is the average of all values in the data set and is influenced by extreme values.

Therefore, The given statement would be False.

To know more about Mean and Median visit,

https://brainly.com/question/14532771

#SPJ4

The mean exam score of student 2 for all four exams is 87.5.  Based on the information provided, you have a spreadsheet containing the scores of 50 students on 4 different exams. To calculate the mean exam score for Student 2 across all four exams, you need to follow these steps:

1. Locate the scores for Student 2 on all four exams. They should be on the first sheet of the spreadsheet and likely in a row or column corresponding to Student 2.

2. Add the scores of Student 2 for all four exams together. For example, if their scores were 80, 85, 90, and 95, the total would be 80 + 85 + 90 + 95 = 350.

3. To calculate the mean, divide the total score (from step 2) by the number of exams (which is 4 in this case). Using the example scores above, the mean would be 350 / 4 = 87.5.

So, the mean exam score for Student 2 for all four exams is 87.5. Keep in mind that this example assumes hypothetical exam scores; you will need to replace them with the actual scores found in the spreadsheet to obtain the correct mean score for Student 2.

Learn more about spreadsheet here:

https://brainly.com/question/8284022

#SPJ11

Answer:

brainliest plssssss

Step-by-step explanation:

#1 Simplify the expression 5+8(3+x)

Let's simplify step-by-step.

5+8(3+x)

Distribute:

=5+(8)(3)+(8)(x)

=5+24+8x

Combine Like Terms:

=5+24+8x

=(8x)+(5+24)

=8x+29

#2. Simplify the expression x+3+5x

Let's simplify step-by-step.

x+3+5x

Combine Like Terms:

=x+3+5x

=(x+5x)+(3)

=6x+3

#3. Simplify the expression 5(z+4)+5(2-z)​

Let's simplify step-by-step.

5(z+4)+5(2−z)

Distribute:

=(5)(z)+(5)(4)+(5)(2)+(5)(−z)

=5z+20+10+−5z

Combine Like Terms:

=5z+20+10+−5z

=(5z+−5z)+(20+10)

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

#SPJ4

Learn more on

https://brainly.com/question/14391417

F type connector

Learn more about wire here

https://brainly.com/question/15246898

#SPJ4

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ11

Answer:

17.52%

Step-by-step explanation:

65.35/11.45 = 0.1752

.1752 * 100

= 17.52

When the length and width of a rectangle change by a factor of 6, the area of the rectangle changes by a factor equal to the product of the changes in length and width. Since both the length and width are multiplied by 6, the area will be multiplied by 6 * 6, which is equal to 36.

This means that the area of the rectangle will increase by a factor of 36. In other words, the new area will be 36 times larger than the original area. This is because the area of a rectangle is calculated by multiplying the length by the width, so when both dimensions are multiplied by 6, the resulting area is the product of 6 * 6, which is 36 times larger than the original area.

For example, if the original area of the rectangle was 10 square units, after the change, the new area will be 10 * 36 = 360 square units. Therefore, the area of the rectangle is significantly increased when both the length and width are multiplied by the same factor.

To learn more about rectangle : brainly.com/question/15019502

#SPJ11

A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

Learn more about ordinal scale

brainly.com/question/20630243

#SPJ4

a) The probability that none of the 10 teenagers in each tent   0.4912. ; b) P(X = 2) = 0.1233 ; c) P(X ≤ 1) = 0.0848 ; d) There is an 8.48% chance that one or no teenager in each tent is afraid of spiders.

(a) We need to find the probability that none of the 10 teenagers in each tent are afraid of spiders.Using the binomial distribution formula

P(X = k) = nCk * pk * (1-p)^(n-k)

Where X is the random variable,

k is the number of successes in the n trials,

p is the probability of success, and

(1-p) is the probability of failure.

For this problem, n = 10, k = 0, p = 0.07, and

q = 1-p

= 0.93

P(X = 0) = 10C0 * (0.07)^0 * (0.93)^(10-0)

= 0.5088

P(X ≥ 1)

= 1 - P(X = 0)

= 1 - 0.5088

= 0.4912

Rounding to four decimal places, P(X ≥ 1) = 0.4912

(b) We need to find the probability that exactly 2 teenagers in each tent are afraid of spiders.

\(.\)P(X = 2) = 10C2 * (0.07)^2 * (0.93)^(10-2)

= 0.1223

Rounding to four decimal places, P(X = 2) = 0.1233

(c We need to find the probability that 0 or 1 teenager in each tent are afraid of spiders.

P(X ≤ 1) = P(X = 0) + P(X = 1)

\(.\)= 10C0 * (0.07)^0 * (0.93)^(10-0) + 10C1 * (0.07)^1 * (0.93)^(10-1)

= 0.8418

Rounding to four decimal places, P(X ≤ 1) = 0.0848

(d) We have already calculated that

P(X ≤ 1) = 0.0848.

This means that there is an 8.48% chance that one or no teenager in each tent is afraid of spiders.

Therefore, it seems reasonable for the camp counselor to randomly assign teenagers to tents as there is a low probability that at least two teenagers in the same tent will be afraid of spiders.

Know more about the random variable,

https://brainly.com/question/16730693

#SPJ11

To find the volume of the solid bounded by the paraboloid z = 50 − 2x² − 2y² and the xy-plane, we can use polar coordinates.

In polar coordinates, we represent points in a plane using a radial distance (r) from the origin and an angle (θ) measured counterclockwise from the positive x-axis. To use polar coordinates, we need to express the equation of the paraboloid in terms of r and θ.

Converting the equation to polar coordinates, we substitute x = r cos(θ) and y = r sin(θ). The equation of the paraboloid becomes z = 50 - 2(r cos(θ))² - 2(r sin(θ))², which simplifies to z = 50 - 2r²(cos²(θ) + sin²(θ)). Further simplifying, we get z = 50 - 2r².

Now, we can determine the limits for the variables r and θ. Since we want to find the volume below the paraboloid and above the xy-plane, the z-coordinate ranges from 0 to 50 - 2r². The radial distance r varies from 0 to some value that defines the boundary of the solid.

To calculate the volume, we integrate the expression 50 - 2r² with respect to r and θ over their respective ranges. After performing the integration, we obtain the volume of the given solid using polar coordinates.

Learn more about angle here: https://brainly.com/question/31818999

#SPJ11

Answer:

See below.

Step-by-step explanation:

sin(71) = x/23

x = sin(71) * 23

x = 21.75

Answer:

21.75 (2 digit after decimal)

Step-by-step explanation:

Sin theta = perpendicular/hypotenuse

sin 71=x/23

23 sin 71=x

x=21.747