A triangle has base 5 2 3 feet and height 4 5 6 feet. Find the area of the triangle as a mixed number.

Answer:

3/12 * 9/10 = 9/40

Step-by-step explanation:

To multiply fractions, you multiply the numerators with each other and the denominators with each other:

3/12 * 9/10 = (3*9)/(12*10) = 27/120 = 9/40

Given statement solution is :- The mass of x refers to the probability mass function (PMF) values for each value of x.

Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

a. The possible values of x are 0, 1, 2, 3, 4, and 5. This represents the number of hearts you can get from the 5 cards dealt.

b. The mass of x refers to the probability mass function (PMF) values for each value of x. We can calculate the mass as follows:

P(x = 0) = (39/52) * (38/51) * (37/50) * (36/49) * (35/48)

P(x = 1) = 5 * (13/52) * (39/51) * (38/50) * (37/49) * (36/48)

P(x = 2) = 10 * (13/52) * (12/51) * (39/50) * (38/49) * (37/48)

P(x = 3) = 10 * (13/52) * (12/51) * (11/50) * (39/49) * (38/48)

P(x = 4) = 5 * (13/52) * (12/51) * (11/50) * (10/49) * (39/48)

P(x = 5) = (13/52) * (12/51) * (11/50) * (10/49) * (9/48)

Note: The coefficients in front of each probability correspond to the different ways of selecting x hearts from the available hearts in the deck.

c. Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

d. The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

The CDF of x can be calculated by summing up the probabilities of all the values less than or equal to x.

CDF(x = 0) = P(x = 0)

CDF(x = 1) = P(x = 0) + P(x = 1)

CDF(x = 2) = P(x = 0) + P(x = 1) + P(x = 2)

CDF(x = 3) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)

CDF(x = 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

CDF(x = 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

e. Plot of the cumulative distribution function (CDF):

The CDF plot represents the cumulative probabilities for the different values of x.

scss

Copy code

x  |  CDF(X<=x)

---|-----------

0  |  0.362

1  |  0.804

2  |  0.957

3  |  0.994

4  |  1.000

5  |  1.000

For such more questions on Hearts Probability Distribution.

https://brainly.com/question/29225373

#SPJ8

The given equations (5b - 2)² + 4 = 25b²– 20b and (2x² + y²)(2x² - y²) = 4x² – y have been found not to be true identities

A) We want to check if (5b - 2)² + 4 = 25b²– 20b is a true identity.

A true identity is an equality that holds true regardless of the values chosen for its variables. They are used in simplifying or rearranging algebra expressions. By definition, the two sides of an identity are interchangeable, so we can replace one with the other at any time.

(5b - 2)² + 4 when expanded gives;

25b² - 20b + 4 + 4 = 25b² - 20b + 8

That is not equal to the right hand side and as such, we can say that both equations are not true identities

B) (2x² + y²)(2x² - y²) = 4x² – y

Expand the left side to get;

4x⁴ - y⁴

This result is not equal to the right hand side and as such, we can say that both equations are not true identities.

Read more about True Identities at; https://brainly.com/question/20165788

#SPJ1

Correct question is;

Which of the equations are true identities?

A. (5b - 2)² + 4 = 25b²– 20b

B. (2x² + y²)(2x² - y²) = 4x² – y

The division equation that represents number of 3/8 in 5/4 is 10/3 = x.

Given,

Fractions : 3/8 and 5/4

We have to find a division equation for number of 3/8 in 5/4

Number of 3/8 in 5/4 = x

Now,

Number of a in b = b/a

So here,

Number of 3/8 in 5/4, x = 5/4 / 3/8

Number of 3/8 in 5/4, x = 5/ 3/2

Number of 3/8 in 5/4, x = 5 × 2 / 3

Number of 3/8 in 5/4, x = 10/3

That is,

The division equation that represents number of 3/8 in 5/4 is 10/3 = x.

Learn more about division equation here:

https://brainly.com/question/12066883

#SPJ1

Answer:

24

Step-by-step explanation:

2+2+2 = 6*2 = 12*2 = 24

Answer:

х=-10...............

Answer:

2(x + 3) = x - 4

2x + 6 = x - 4

2x - x = - 4 - 6

x = - 10

To find the volume of the right prism, we used the Pythagorean theorem to determine the height of the triangular base is 1.197 inches. We then used the formula V = Bh to calculate the volume, which was approximately 2.70 cubic inches.

To find the height of the prism, we need to use the information provided about the triangular base. Since the triangular base is equilateral with a dimension of 1.74 inches, the height of the triangle (and therefore, the height of the prism) can be found by using the Pythagorean theorem.

If we draw a line from the center of the base to the midpoint of one of the sides, we create a right triangle with hypotenuse 1.74 in (which is also the height of the triangle) and one leg equal to half the length of one of the sides of the triangle (since the base of the prism is a square with dimension 1.5 in).

Using the Pythagorean theorem, we can solve for the height of the triangle (and prism)

(1.74/2)² + (1.5/2)² = h²

0.8725 + 0.5625 = h²

h² = 1.435

h ≈ 1.197 inches

Now, we can use the formula V = Bh to find the volume of the prism

V = (1.5 x 1.5) x 1.197 ≈ 2.70 cubic inches

Therefore, the volume of the right prism is approximately 2.70 cubic inches.

To know more about Pythagorean theorem:

https://brainly.com/question/14930619

#SPJ1

Answer:

1/81

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Parenthesis first, (6+3=9)^2 (9)^2 = 81-4 = 77

The expressions that equal 36 is:

E) 53 − (2. 5 × 30) − 20

Evaluated the mathematical expressions in each response to see if they equal 36.

A. (14⋅32)2−28 = (448)² - 28 = 14⁴ - 28 = 2016 - 28 = 1988, not equal to 36.

B. 23 + (58−54)2 + 122 = 23 + (4)² + 12 = 23 + 16 + 12 = 51, not equal to 36.

C. 92 − (43 + 32) + 30050 = 9² - (7 + 3) + 30050 = 81 - 10 + 30050 = 30021, not equal to 36.

D. 124 + (82 − 42) − 99 = 124 + (64 - 16) - 99 = 124 + 48 - 99 = 73, not equal to 36.

Thus, only the expressions listed in my previous answer equal 36.

Learn more about Expression Equals 36 here:

https://brainly.com/question/29186476

#SPJ4

Answer:

the probaility of choosing a red shirt is 1

Answer:

The simplified form is \(\frac{1}{5^{3} }\) which is D.

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Month 5

Step-by-step explanation:

Answer:

x=−8

Step-by-step explanation:

6(x−1)=9(x+2)

Step 1: Simplify both sides of the equation.

6(x−1)=9(x+2)

(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)

6x+−6=9x+18

6x−6=9x+18

Step 2: Subtract 9x from both sides.

6x−6−9x=9x+18−9x

−3x−6=18

Step 3: Add 6 to both sides.

−3x−6+6=18+6

−3x=24

Step 4: Divide both sides by -3.

−3x/−3=24/−3

Answer:

2 faces, 0 edges, and 0 vertices

Step-by-step explanation:

If, 41 gram sample of a substance that's used to detect explosives has a k value of 0.1392 then, the substance's half-life is approximately 4.98 days.

Half-life is the time it takes for half of the atoms in a radioactive substance to decay. It is a characteristic property of a specific radioactive substance and is independent of its amount or condition.

The half-life formula is given by;

\(t_{1/2}\) = (ln 2) / k

where k is the decay constant.

Given k = 0.1392, we can find the half-life as follows;

\(t_{1/2}\) = (ln 2) / k

\(t_{1/2}\) = (0.693) / 0.1392

\(t_{1/2}\) = 4.978 days

Therefore, the half-life of the substance's will be 4.98 days.

To know more about half-life here

https://brainly.com/question/16387602

#SPJ1

The probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.

The odds for rolling a 6-sided die and getting a 2 are 1:5 or 1/5. This means that the probability of rolling a 2 is 1/6, and the probability of not rolling a 2 is 5/6. To find the odds against rolling a 6-sided die and getting a 2, we simply invert the odds for rolling a 2, which gives us the odds of rolling any number other than 2. The odds against rolling a 6-sided die and getting a 2 are therefore 5:1 or 5/1. This means that the probability of not rolling a 2 is 5/6, and the probability of rolling a 2 is 1/6. It's important to note that the odds against an event are not the same as the probability of that event not occurring. The odds against an event refer to the ratio of the number of unfavorable outcomes to the number of favorable outcomes, while the probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

Answer:

It's actually worth 15 points

Answer:

25/28 (Decimal: 0.892857 )

Branliest?

Answer:

\(\frac{25}{28}\)

Step-by-step explanation:

Combine the fractions by finding a common denominator.

A threshold effect is when a small change in one variable results in a noticeable change in another variable. In this example, a small 8% increase in salt content of the chips is enough to produce a noticeable change in the saltiness of the chips to the sample of consumers.

The snack manufacturer can calculate the increase in salt content of their chips needed to produce the threshold effect by first determining the baseline salt content of the chips. Once this is known, they can then calculate what percentage increase to the salt content is needed by multiplying the baseline salt content by 8%. For example, if the baseline salt content of the chips is 10%, then the 8% increase in salt content would be calculated as 10% x 8% = 0.8%. This means that the snack manufacturer needs to increase the salt content of their chips by 0.8% to reach the threshold effect desired by the sample of consumers.

Learn more about variable here

https://brainly.com/question/29583350

#SPJ4

Answer:

The answer is A.

Step-by-step explanation:

The possible advance in the field of biology that would be a result of the stem cell research is: Creation of a novel cancer cell line to test anticancer agents.

This is a type of research that is carried out by biogical researchers. The function of this type of research is to manipulate the different cells that are in the human body.

This research is done in order to specialize some body cells that can be used to treat different diseases.

Read more on research here: https://brainly.com/question/968894

#SPJ2

Answer:

Check Explanation

Step-by-step explanation:

The amygdala is the brain's emotional center. It is responsible for instinctual thinking and impulse control. It develops during early teenage years and this means the amygdala is not developed to the optimal level during teenage years. This makes teenagers very prone to impulsive behavior.

Also, the prefrontal cortex which is responsible for decision-making skills and the ability to measure risks is not fully developed in the teenage child stage. This is why teenagers make poor decisions and aren't great at measuring risks thereby making riskier choices like using the phone while driving.

These two brain components are fully developed in adults hence, it is less likely for adults to make poor decisions like texting while driving, which is a riskier thing to do than not using a seatbelt.

Again, teenagers have this invincibility feeling where they feel like they are more active and can react faster to road dangers. This deceives them into making such riskier decisions.

The current world also has turned into something else where people (teenagers especially) strive to get the most current news information as they are happening. The need to stay connected to social media is another reason why teenagers can't stay off their phones.

Finally, the fact that public intervention programs and ad campaigns promoting seat-belt use way more than not using cell-phones use while driving also mean more people are more conscious about using seatbelts while driving than not using their cellphones. In recent times, the campaigns, laws and bans on use of phones while driving are just gaining prominence.

In conclusion, the combination of all these factors/reasons is why the percentage of teenage high school students who use phones while driving is way more than the percentage that don't use a seatbelt although texting while driving is arguably much riskier than not wearing a seat belt.

Hope this Helps!!!

According to the question the distribution of the weights of a sample of 1,400 cargo containers is symmetric and bell-shaped We can conclude that approximately 95% of the weights will lie within this range.

According to the empirical rule, in a symmetric and bell-shaped distribution, approximately 68% of the data falls within one standard deviation (s) of the mean (x), approximately 95% falls within two standard deviations (2s) of the mean, and approximately 99.7% falls within three standard deviations (3s) of the mean.

In this case, since we are interested in the range between x - 2s and x + 2s, which corresponds to two standard deviations on either side of the mean, we can conclude that approximately 95% of the weights will lie within this range.

To know more about range visit -

brainly.com/question/33658892

#SPJ11

Test of significance is  the observed effect due to chance. Option (c) is correct .

What is a significance test?

What makes significance significant?

Learn more about test of significance

brainly.com/question/7305710

#SPJ4

Answer:

Given equation:

To find the y-intercept, evaluate the equation with x = 0:

To find the x-intercept, evaluate the equation with y = 0:

Step-by-step explanation:

x-intercept (y = 0)

y = 10x − 32

0 = 10x - 32

10x = 32

x = 32 : 10

x = 3.2

y-intercept (x = 0)

y = 10x − 32

y = 10(0) - 32

y = 0 - 32

y = -32

Answer:

UW = 36 units

Step-by-step explanation:

The question is incomplete. Here is the complete question

Point V lies between points U and W on Line segment U W. A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10. If UW = 9x – 9, what is UW in units?

If a point V lies between points U and W on line segment UW, then based on vector notation, UV + VW = UW.

Given parameters

The length between U and V i.e UV = 2x-4

The length between V and W i.e VW= 4x + 10.

UW = 9x – 9

Required

The length between U and W in units

Since UW = UV+VW, we will substitute the given functions into the formula as shown;

9x-9 = 2x-4+4x + 10.

9x-9 = 2x+4x-4+10

9x-9 = 6x+6

collect like terms on both sides;

9x-6x = 6+9

3x = 15

x = 15/3

x = 5

Substitute x = 5 into the function UW = 9x-9 to ge the length of UW in units.

UW = 9(5)-9

UW = 45-9

UW = 36 units

Hence the required length between line segment U and W in units is 36units.

Answer:

36 units, edge 2020-21

Step-by-step explanation:

aka D/last answer

Answer:

5x - 6 ≤ 54

5x-6+6 ≤ 54+6

5x ≤ 60

divide by 5

x ≤ 12

Step-by-step explanation:

Answer:

f

Step-by-step explanation:

Answer

Quadrant I

Step-by-step explanation

Hence, point A is located on the Quadrant I

Answer:

-11

Step-by-step explanation: