9 There are no values that make both of the inequalities x > 2 and x < 2 true. How
can you change one or both of the inequalities so that there is at least one value
that makes both inequalities true?
bath

the probabilities of each of the following events are  a) 9.23×10⁻⁶ and b) 0.00144

Since we have given that

Number of cards = 52

a) Probability that we draw 3 aces and 2 kings.

As we know that

Number of aces = 4

Number of kings = 4

Number of cards drawn = 5

So, the probability becomes,

9.23×10⁻⁶

(b) a "full house" (3 cards of one kind, 2 cards of another kind)

Since there are 13 sets of each type  and we have to select and 2 kinds of it, so, it becomes

So, it becomes,

Hence, a) 9.23×10⁻⁶ and b) 0.00144

learn more about of probability here

https://brainly.com/question/14469549

#SPJ4

27/128 is the probability that the number of dice showing a two-digit number is equal to the number of dice showing a one-digit number.

Probability means Possibility. It states how likely an event is about to happen.

The probability of an event can exist only between 0 and 1 where 0 indicates that the event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty.

I'll take a stab at this one. if the number of dice showing a two-digit number = the number of dice showing a one-digit number, then  2 must show a two-digit number and 2  must show a one-digit number

There are 3 two-digit numbers and 9 one-digit numbers on each die

So....the probability is

C(4,2) (3/12)^2 (9/12)^2

C(4,2) (1/4)^2 (3/4)^2

=27/128.

To learn more about probability:

https://brainly.com/question/28019908

#SPJ4

The answer is 0.3% when rounded to the nearest tenth of a percent.

Using the ALEKS calculator, let's divide 32 by 100 and write the result up to 2 decimal places:

=      32

       100

= 0.32

Rounding to the nearest tenth of a percent., the result of the division is 0.3%.

(The second decimal place is 2, which is smaller than 5, so after rounding, the first decimal place is not changed).

Learn more about ALEKS calculator   on

https://brainly.com/question/29126184

#SPJ1

Using the percentage concept, it is found that 60.29% of the people surveyed were completely satisfied with the car.

A percentage is the number of desired outcomes, multiplied by 100%, and divided by the number of total outcomes and also defines a number or ratio that can be expressed as a fraction of 100.

To calculate the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

In this problem, researching the internet, it is found that:

A total of 1260 + 650 + 180 = 2090 people were surveyed.

Of those, 1260 were completely satisfied.

Hence:

[tex]P=\frac{1260}{2090} *100 =60.29[/tex]

60.29% of the people surveyed were completely satisfied with the car.

To know more about Percentage:

https://brainly.com/question/11573613

#SPJ4

Step 1: [tex]6.3^2+x^2=15.4^2[/tex]

Step 2: [tex]x^2=15.4^2-6.3^2[/tex]

Step 3: [tex]x=\sqrt{15.4^2-(6.3)^2}[/tex]

Step 4: [tex]x=14.05[/tex]

Answer:

Step-by-step explanation:

By graphing the line, it is easy to see that the point (4,10) will partition the line in a ratio of 3:4.

By graphing the line, it is easy to see that the point (4,10) will partition the line in a ratio of 3:4.You could also calculate this by finding the difference in x and y coordinates of the given points, and partitioning those differences in a 3:4 ratio on a number line.

By graphing the line, it is easy to see that the point (4,10) will partition the line in a ratio of 3:4.You could also calculate this by finding the difference in x and y coordinates of the given points, and partitioning those differences in a 3:4 ratio on a number line.In this case,

By graphing the line, it is easy to see that the point (4,10) will partition the line in a ratio of 3:4.You could also calculate this by finding the difference in x and y coordinates of the given points, and partitioning those differences in a 3:4 ratio on a number line.In this case,X coord difference: 12 - (-2) = 14

By graphing the line, it is easy to see that the point (4,10) will partition the line in a ratio of 3:4.You could also calculate this by finding the difference in x and y coordinates of the given points, and partitioning those differences in a 3:4 ratio on a number line.In this case,X coord difference: 12 - (-2) = 14Y coord difference: 18 - 4 = 14

By graphing the line, it is easy to see that the point (4,10) will partition the line in a ratio of 3:4.You could also calculate this by finding the difference in x and y coordinates of the given points, and partitioning those differences in a 3:4 ratio on a number line.In this case,X coord difference: 12 - (-2) = 14Y coord difference: 18 - 4 = 14To partition 14 in a 3:4 ratio, we could use a 6:8 ratio.

By graphing the line, it is easy to see that the point (4,10) will partition the line in a ratio of 3:4.You could also calculate this by finding the difference in x and y coordinates of the given points, and partitioning those differences in a 3:4 ratio on a number line.In this case,X coord difference: 12 - (-2) = 14Y coord difference: 18 - 4 = 14To partition 14 in a 3:4 ratio, we could use a 6:8 ratio.One way to think of it, is that you are "adding" 6 and 8 to the x and y coordinates of the lower coordinate, in the case (-2,4).

By graphing the line, it is easy to see that the point (4,10) will partition the line in a ratio of 3:4.You could also calculate this by finding the difference in x and y coordinates of the given points, and partitioning those differences in a 3:4 ratio on a number line.In this case,X coord difference: 12 - (-2) = 14Y coord difference: 18 - 4 = 14To partition 14 in a 3:4 ratio, we could use a 6:8 ratio.One way to think of it, is that you are "adding" 6 and 8 to the x and y coordinates of the lower coordinate, in the case (-2,4).By "adding" 6 to the x coordinate, and 8 to the y coordinate, we get (4,10), as we showed in the graph.

The ladder can reach up to approximately 6.12 feet on the wall while still being sturdy.

To find the height up the wall that the ladder can make contact with, we need to use the Pythagorean theorem. Let's call the height up the wall h and the distance from the wall to the foot of the ladder d. We know that the ladder is 10 feet long, so we can write:

d² + h² = 10²

Next, we use the angle constraints to relate d and h. The angle the ladder makes with the wall is between π/12 and π/6, so we can use the tangent function to write:

tan(π/12) < h/d < tan(π/6)

Solving for h, we have:

d × tan(π/12) < h < d × tan(π/6)

Finally, to find the maximum height the ladder can reach, we need to find the maximum value of d while still satisfying the inequality. We know that d + 10 = h / tan(π/12), so we can substitute and simplify:

d × tan(π/12) < d ×× tan(π/6) + 10 × tan(π/12)

d < 10 × tan(π/6) / (tan(π/12) - tan(π/6))

Since tan(π/12) < tan(π/6), the denominator is positive, so d is maximized when it is as large as possible. Plugging in the values, we have:

d < 10 × tan(π/6) / (tan(π/12) - tan(π/6)) = 10 × 2 / (√3 - 2) ≈ 9.35

Finally, the maximum height the ladder can reach is:

h = d × tan(π/12) < 9.35 × tan(π/12) ≈ 6.12 feet

So the ladder can reach up to approximately 6.12 feet on the wall while still being sturdy.

To know more about Pythagorean theorem, here

https://brainly.com/question/29769496

#SPJ4

Answer: 3x+2

Step-by-step explanation:

6x+2-3x

3x+2

Two sides of an isosceles triangle are 20 and 30. Then the difference of the largest and the smallest possible perimeters is 10.

These are the specified parameters:

Two sides of an isosceles triangle are 20 and 30.

The perimeter of the largest isosceles triangle

With a side measurement of 30 feet and a base of 20.

Roving = 30 + 30 + 20

            = 80

The perimeter of the smallest isosceles triangle

With a side measurement of 20 feet and a base of 30.

Roving = 20 + 20 + 30

            = 70

The difference of the largest and the smallest perimeters

= 80 - 70

= 10

Learn more about the area of the triangle here:

brainly.com/question/17335144

#SPJ4

Answer:

the write abs is b

Step-by-step explanation:

5ax+3ax=4ax+12

8ax-4ax=12

4ax=12

ax=12/4

ax=3

x=3/a

The chance that Sam will not get a parking ticket is 87%.

To find the chance of not getting a parking ticket, subtract the chance of getting a ticket from 100%.

Step 1: Take the chance of getting a ticket, which is 13%

Step 2: Subtract it from 100%

100% - 13% = 87%

So, the chance that he will not get a parking ticket is 87% if Sam want to leaves his car parked outside his office all day next tuesday.

This question is about the probability of Sam getting a parking ticket if he leaves his car parked outside his office on a weekday. Sam estimates that the chance of getting a ticket is 13%. To find the chance of not getting a ticket, the probability of getting a ticket (13%) was subtracted from 100%. The result, 87%, represents the chance that Sam will not get a parking ticket.

Learn more about No Parking Ticket Chance here:

https://brainly.com/question/25705613

#SPJ4

The area covered by the tiles is 54 square meters.

In this problem we find that 2400 square tiles can cover a rectangular school room and 1350 square tiles if each tile is 5 centimeters longer and 5 centimeters wider. Algebraically speaking, this situation is represented by following formula:

2400 · x² = 1350 · (x + 5)²

Where x is in centimeters.

First, expand and simplify by algebraic properties:

2400 · x² = 1350 · (x² + 10 · x + 25)

2400 · x² = 1350 · x² + 13500 · x + 33750

1050 · x² - 13500 · x - 33750 = 0

Second, find the roots of quadratic equation by quadratic formula:

x₁ = 15 or x₂ = - 15 / 7

Since lengths are positive variables, then only valid solution is x = 15 cm.

Third, calculate the area covered by the tiles:

A = 2400 · (15 cm)²

A = 540000 cm² (54 m²)

To learn more on quadratic equation: https://brainly.com/question/1863222

#SPJ1

Based on the information above, the probability of winning the $20 prize is 0.16.

To find the probability that the contestant wins $20 we must carry out the following mathematical procedure:

Based on this result, we can infer that the probability that the contestant wins the $20 is 0.16. Additionally, you have a 0.5 chance of winning nothing and a 0.33 chance of winning $5.

Note: This question is incomplete because there is some information missing. Here is the complete information:

Tasks

Find the probability that the contestant will win the $20 prize.

Learn more about probability in: https://brainly.com/question/30034780

#SPJ1

The slope will remain constant, thus it will still be 3.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Given AB is dilated by a scale factor of 3 to form A'B',

and Point O, which lies on AB, is the center of dilation,

AB has expanded due to the scaling factor, to form A'B'

The image is thus consistent with the preimage according to the laws of dilation.

This suggests that other than the size, the image won't change in any way.

Therefore, the slope will stay the same, the slope of A'B' is 3.

Learn more about dilation;

brainly.com/question/15868300

#SPJ1

The complete question is,

AB is dilated by a scale factor of 3 to form A'B'. Point O, which lies on AB , is the center of dilation. The slope of AB is 3. The slope of A'B' is . through point O.

The factoring of the expressions would yeild;

a) (3x + 1) (x + 2)

b) Can not be factored

c) 2[(4x - 5) (x - 3)]

Factoring is the process of finding the prime factorization of an integer, which is finding the prime numbers that multiply together to give the original number. There are several methods for factoring including:

It is important to choose the right method based on the type of number being factored and the problem at hand.

The factoring of the quadratic expressions would give;

a) (3x + 1) (x + 2)

b) Can not be factored

c) 2[(4x - 5) (x - 3)]

Learn more about factoring:https://brainly.com/question/17325738

#SPJ1

5 samples will not contain the value of the confidence interval of the unknown parameter. The rest will have the confidence interval.

x% confidence interval implies that the mean of x% is in the interval, also x% in the sample space will have the value of unknown parameter.

Here 95% of confidence interval is present and the sample space is 100. So,    100%- 95% = 5%. Thus only 5% of the sample space will not contain the confidence level of the unknown parameter.

5% of 100 = [tex]\frac{5}{100}[/tex] ×  [tex]100[/tex]  = 0.5 × 100 = 5

To know more about confidence interval one may refer to

https://brainly.com/question/29680703

#SPJ4

The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

Learn more about Descriptive Statistics here

https://brainly.com/question/29487303

#SPJ4

The area of △ABC is 22 square units.

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

△ABC has vertices at A(5,1), B(−3,1), and C(−2,5).

The area of △ABC is then calculated as

Area = |(1/2)(x1)(y2 - y3) + (x2)(y3 - y1) + (x3)(y1 - y2)|

Plugging in the given vertices for △ABC, the area can be calculated as follows:

Area = |(1/2)(5)(1 - 5) + (-3)(5 - 1) + (-2)(1 - 1)|

This gives

Area =|-22|

= 22

The area of △ABC is 22 square units.

Read more about area at

https://brainly.com/question/22972014

#SPJ1

Answer: 5

Step-by-step explanation:

Gerad's DVD club costs = Karen's DVD costs = y

Gerad - y = 2x + 10

Karen - y = x +15

2x + 10 = x + 15

x = 5

The predictor variable is the value of x. It is used to predict the value of the response variable, which is the value of y. By using the equation y=3.291x+25.232, the value of y can be calculated when the value of x is known.

The predictor variable is the value of x, which can be used to predict the value of the response variable, which is the value of y. To do this, an equation is used to find the relationship between x and y. In this case, the equation is y=3.291x+25.232. This equation can be used to calculate the value of y when the value of x is known. To use the equation, the value of x is inserted into the equation, and the result is the value of y. For example, if the value of x is 5, then the equation would be y=3.291x+25.232, which equates to y=41.455. This means that when the value of x is 5, the value of y is 41.455. This equation can be used for any value of x to predict the corresponding value of y.

Learn more about variable here

https://brainly.com/question/2466865

#SPJ4

The least squares approximating line y=zo + zıx is y = 1.80 - 1.00x.

Least squares is a method used to approximate the line of best fit for a set of data points.

In the first set of data points, (1, 1), (3, 2), (4, 3), (6, 4), the least squares approximating line for this set of data points is y = 0.78 + 0.84x.

For the second set of data points, (2, 4), (4, 3), (7, 2), (8, 1), the process is the same.

The least squares approximating line for this set of data points is y = 2.47 - 0.18x.

The least squares approximating line for the third set of data points, (-1, -1), (0, 1), (1, 2), (2, 4), (3, 6), is y = 0.33 + 1.33x.

The least squares approximating line for the fourth set of data points, (-2, 3), (-1, 1), (0, 0), (1, -2), (2, -4), is y = 1.80 - 1.00x.

To know more about lines here.

https://brainly.com/question/25727583

#SPJ4

Answer:

10,975

Step-by-step explanation:

If you multiply 7,000 by 0.046 10 times and added them together, it would be 10,975

Answer:

10975

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

every corner here is 90⁰,because it says so.

QRP would be 90-56 =34⁰ and the opposite corner is the same,so 34⁰

Answer:

34

Step-by-step explanation:

KRL = QRP, so finding QRP can get us our answer. We were given 56 and 90 because 90 is the degree of a right angle.

A straight line is 180 degrees.

If we subtract 90 and 56 from that 180, we'll find out QRP

180-90=90

90-56=34

Since QRP = 34, that means KRL does also

The probability player a wins is [tex]\frac{1}{36}[/tex] . Probability is a measure of the likelihood of an event to occur.

Sample space for the given event is :

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

A sample space is the total numbers of outcomes that can happen with respect to a given single event or a combination of different event, like in this case there were two events both of rolling a dice

Player a wins if he gets (1,1) otherwise he looses. As we can see there is only one choice for the given event to happen. So his probability is less likely to happen that is 1 time in every 36 time.

To know more about probability one may refer to

https://brainly.com/question/11561204

#SPJ4

Answer:

Let y = x - 4, then xy = 60.

Expanding the product on the right side, we have x(x-4) = 60.

Expanding the left side, we have x² - 4x = 60.

Adding 4x to both sides, we have x² = 60 + 4x.

Re-arranging the equation, we have x² - 4x - 60 = 0.

Thus, the quadratic equation is x² - 4x - 60 = 0.

The HCF of 3, 4, and 5 is 1. ∴ The most increased numeral that diverges 3, 4, and 5 is 1.

To learn more about divisor, refer to:

https://brainly.com/question/30278966

#SPJ1

It is likely that she is on tiptoe, as a pressure of 1,500,000 Pa is a high pressure for a 60 kg person to be applying with just one foot while standing flat on the ground.

The unit of pressure Pa is equivalent to Newton per square meter

A mass of 60 kg is converted to force by

= m * g

= 60 * 10

= 600 N

Pressure = Force / Area

Area = Force / Pressure

Area = 600 N / 1,500,000 Pa

Area = 0.0004 square meter

Area = 4 square centimeter

This area is much smaller than the foot hence the dancer is tiptoeing

A pressure of 1,500,000 Pa suggests that the dancer is applying a significant amount of force to a small area, which is typical of being on tiptoe.

Learn more about pressure at:

https://brainly.com/question/28012687
#SPJ1

Answer:

Heres how to do it

(i know you arent using macbook)

Step-by-step explanation:

Answer:

X = 2

2x-1+1=x+1+1

Answer: The slope between the points (0,-1) and (2,-5) is (-5 - (-1)) / (2 - 0) = -4 / 2 = -2.

Step-by-step explanation: