ST=15, SR=6, RT = ?

help

Answer:

C. Ferris wheel

Step-by-step explanation:

Circumference = pi x diameter

Take each of the entries from the diameter column and multiply by 3.14. They are all correct except for the Ferris wheel.

70.5 x 3.14 = 221.37

Answer:

4x =16

Step-by-step explanation:

Hope this helps :)

Given:

There are between 24 and 40 students in a class.

The ratio of boys to girls is 4:7

To find:

The number of students in the class.

Solution:

Let the number of boys are girls are 4x and 7x respectively, where, x must be a positive integer because number of boys and girls is always a positive integer. Then, the total number of students is

\(\text{Total students}=4x+7x\)

\(\text{Total students}=11x\)

It means total number of students is multiply of 11.

Multiples of 11 are 11, 22, 33, 44, ... . So, multiples of 11 between 24 and 40 is 33.

Therefore, the total number of students in the class is 33.

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = \(\sqrt{42.25}\) = 6.5 units

Answer:

C

Step-by-step explanation:

\(\frac{4}{5}\) × 45 = 4 × 9 = 36 ← Marlina's books

\(\frac{2}{3}\) × 45 = 2 × 15 = 30 ← Daniel's books

36 - 30 = 6

Marlina has 6 more novels than Daniel → C

a) The probability of the variable falling between 200 and 5300 is very close to 100%.

b) The probability of the variable being less than 275 is about 88%.

c) The x-values that are in the top 10% of the distribution are those greater than approximately 278.98.

A. To find P(200 X 5300), we need to calculate the probability that our variable falls between the values of 200 and 5300.

This is done using the formula z = (x - mu) / sigma, where x is the value we are interested in, mu is the mean, and sigma is the standard deviation.

So, for the value x = 200, we have z = (200 - 248.3) / 22.8 = -2.12. Similarly, for x = 5300, we have z = (5300 - 248.3) / 22.8 = 229.44.

Now, we need to use a standard normal distribution table or a calculator to find the probability of the variable falling between -2.12 and 229.44. This probability is denoted as P(-2.12 < z < 229.44).

Using a standard normal distribution table or a calculator, we can find that this probability is virtually 1. So, the probability of the variable falling between 200 and 5300 is very close to 100%.

B. To find P(x < 275), we again need to standardize the value of 275 using the formula z = (x - μ) / σ.

For x = 275, we have z = (275 - 248.3) / 22.8 = 1.17.

Now, we need to use a standard normal distribution table or a calculator to find the probability of the variable falling below 1.17. This probability is denoted as P(z < 1.17).

Using a standard normal distribution table or a calculator, we can find that this probability is approximately 0.88. So, the probability of the variable being less than 275 is about 88%.

C. To find the x-values that are in the top 10%, we need to find the z-score that corresponds to the top 10% of the normal distribution.

Using a standard normal distribution table or a calculator, we can find that the z-score that corresponds to the top 10% is approximately 1.28.

Now, we can use the formula z = (x - μ) / σ to find the x-value that corresponds to a z-score of 1.28.

Rearranging the formula, we get x = μ + σ * z = 248.3 + 22.8 * 1.28 = 278.98.

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Complete Question:

Suppose a variable is normally distributed, with mean 248.3 and standard deviation 22.8.

A. What is P(200 X 5300)?

B. What is Plx 2 275)?

C. What x-values are in the top 10%?

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Answer:

The answer is 2 not 11.6

Step-by-step explanation:

Answer:

23.2

Step-by-step explanation:

-3 + 5=2 2*11.6=23.2

Answer:

Additive inverse is the opposite of a number which when you add to the original number gives a result of zero. In other words change the sign and you are done.

Multiplicative inverse is the reciprocal of the number which when you multiply with the original number the result is 1. In other words flip the number or fraction (exchange the numerator with the denominator)

Step-by-step explanation:

See the picture.

Answer:

\( \frac{1}{2} \times \frac{1}{3} + \frac{1}{2} \times \frac{1}{3} = \frac{1}{3} \)

Step-by-step explanation:

1st case :

1+3= 4

2nd case:

2+2=4

For that , we add the probability of the 2 cases to get

1/3

Answer:

--------------------

Total number of outcomes is:

Outcomes with the sum of 4:

So we have two favorable outcomes out of six total outcomes.

The probability that the sum of the two spins is 4:

Answer:

D

Step-by-step explanation:

this is easy for me

Hello !

Answer:

\(\Large \boxed{\sf r=\frac{3}{2} }\)

Step-by-step explanation:

Let's remember :

We know that the volume of the sphere is equal to half its surface area.

\(\sf V_{sphere}=\frac{1}{2} A_{sphere}\\\\\sf \frac{4}{3}\pi r^3=\frac{1}{2} 4\pi r^2\\\\\sf \frac{4}{3}\pi r^3=2\pi r^2\)

Let's solve this equation for r.

First, substract \(\sf 2\pi r^2\)  from both sides :

\(\sf \frac{4}{3} \pi r^3-2\pi r^2=0\)

We can now factorize by taking out the highest common factor: 2r²

\(\sf 2r^2(\frac{2}{3} \pi r-\pi )=0\)

We can use the zero-product property.

There are two solutions :

The first solution is absurd : The radius of a sphere cannot be 0.

We conclude that we must keep the second solution.

Have a nice day ;)

Answer:

24 pounds of garlic

Step-by-step explanation:

if she spends 3$ per pound, you divide 72 by 3. the answer to that is 24, so if she spends 72 dollars on only garlic, she can buy 24 pounds.

Jennifer can buy 24 pounds of garlic

we see here, that if she spends 3$ per pound, you divide 72 by 3.

The answer would be 24, so if she spends 72 dollars on only garlic,

she can buy 24 pounds.

1: any of various units of mass and weight specifically: a unit now in general use among English-speaking peoples equal to 16 avoirdupois ounces or 7000 grains or 0.4536 kilogram — see Weights and Measures Table

2: the basic monetary unit of the United Kingdom.

In maths, a division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each

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Answer:

1. Limited representation: Polar coordinates can only represent points on a two-dimensional plane. Therefore, it is not well-suited to represent three-dimensional shapes or objects.

2. Complex conversion: Polar coordinates can be hard to convert into Cartesian coordinates (x,y) or vice versa, especially for complicated functions. This makes it difficult to work with in many mathematical applications.

3. Ambiguity: Sometimes there can be more than one polar coordinate representation for a single point, which can lead to confusion and errors.

4. Limited domain: The polar coordinate system is limited to functions with a radial symmetry, which is a significant disadvantage in many mathematical applications.

5. Difficulty in visualizing complex functions: It can be difficult to visualize complex functions in polar coordinates, especially without advanced computer software or graphing tools.

6. Not universally used: The Cartesian coordinate system is widely used in most fields, including math, physics, and engineering. Polar coordinates are not as widely used, which can make it difficult to communicate concepts effectively.

Step-by-step explanation:

The sign of rational number

a) if there sum is positive, then both of the rational number is positive and will have a '+' sign.

Example :-  4 + 4 = 8

b) their product is positive , then when both of them is negative or both of them is positive.

Example :- 4 x 4 = 16

                - 4 x (-4) = 16

c) their quotient is positive then when both of them is negative or both of them is positive.

Example :- ab / cd , -ab/ - cd  

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Any fraction with non-zero denominators is a rational number. Some of the examples of rational numbers are 1/2, 1/5, 3/4, and so on.

For example 4 is a rational number because it satisfies the condition of rational numbers. 4 can be expressed as a ratio such as 4/1, where the denominator is not equal to zero.

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Answer:

107 hamburgers

Step-by-step explanation:

Let's call hamburgers A and cheese burgers B.

We know that A + B = 321

And that the number of cheeseburgers sold was two times the number of hamburgers sold which means ->  B = 2A

So A + 2A = 321

3A = 321

Now you need to divide both sides of the equation by 3 and you get:

A= 107

Answer:

115

Step-by-step explanation:

5 - 4(30)

5 - 120

115

Answer:

-115

Step-by-step explanation:

Since anything in between those two lines (absolute value) always comes out positive and the five inside there is already positive, we don't need to worry about it.

First let's look at what's inside the parenthesis.

5 - 4(32 - 2)

= 5 - 4(30)

Next, we'd multiply. (I'm going by PEMDAS)

5 - 120

Now that we've done that we just need to subtract. Generally, 120-5=115, so, we just need to make it negative.

Hope this helps!! <3 :)

Answer:$375.50

4×12=48

18,024÷48=375.5

I hope this is good enough:

Answer: 8 friends

Step-by-step explanation: 79.5-7.50 72

72/9 8

Answer: y=5x+7

Step-by-step explanation:

Since we are given the slope, all we have to do is plug in the given point and solve for the y-intercept.

-3=5(-2)+b             [multiply]

-3=-10+b                [add both sides by 10]

b=7

Now, we know the equation is y=5x+7.

There are 134596 ways to distribute 24 slices between 6 people

Since pizza slices are the same hence order doesn't matter and also people are distinct so it is a case of combination.

Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!

combination = nCr =n!/(r!(n-r!)

where n is the total number of objects

r is the number of chosen objects from the total.

Now, 24c6=24!/6!18!

=24x23x22x21x20x19x18!/6!18!

=24x23x22x21x20x19/6x5x4x3x2x1

=134596

Therefore, There are 134596 ways to distribute 24 slices between 6 people

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Answer:

That is a hard question

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

65 is closer to 0 on the number line. Therefore 65 has a lower value the 344.

Answer:

30°

Explanation:

∠LMP + ∠PMN = 180°

[∠LMO + ∠OMP] + [∠PMR + ∠RMN] = 180°

FIND x

(x - 10) + (x + 30) + x + 40 = 180

3x - 10 + 30 + 40 = 180

3x + 60 = 180

3x = 120

x =40

FIND ∠LMO

∠LMO = x - 10

∠LMO = (40) - 10

∠LMO = 30°

Hope this helps and God bless!

Answer:

∠LMO = 30°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ (x - 10)° + (x + 30)° + 40° + x° = 180°

⇒ x° + x° + x° - 10° + 30° + 40° = 180°

⇒ 3x° + 60° = 180°

⇒ 3x° = 120°

⇒ x = 40

Substitute found value of x into the expression for ∠LMO:

⇒ ∠LMO = (40 - 10)°

⇒ ∠LMO = 30°

The function that represents the given equation is:

f(x) = 3x + 8

The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.

Adding 12x to both sides, we get 4y = 12x + 32.

To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.

Hence, the function that expresses y as a function of x is:

f(x) = 3x + 8.

Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.

In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.

Therefore, the function that represents the given equation is:

f(x) = 3x + 8

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After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.

Transition diagram:

        LEFT      RIGHT

    |--------->--------|

LEFT |   0.8        0.2   |

    |                   |

RIGHT|   0.1        0.9   |

    |--------->--------|

The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.

Transition matrix:

     |  LEFT   |  RIGHT  |

---------------------------

LEFT  |   0.8   |   0.2   |

---------------------------

RIGHT |   0.1   |   0.9   |

---------------------------

The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.

If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.

Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).

To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]

Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.

To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.

No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.

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Answer

We are told that the relationship describing the weight and length, for alligators.

The length in inches is presented on the x-axis and the weight in pounds is presented on the y-axis.

The observations about this include

- From the scatterplot, we can see that the more the length of the alligator (that is, as x increases), the weight of the alligator also increases (that is, y increases too).

- This points to a direct relationship between the length of alligator and the weight of the alligator.

- Small alligators weigh light weights and longer alligators are heavy.

Hope this Helps!!!

Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3