Help me with my math, please

The probability of getting one 6 on four rolls of a single die is 0.517

The number of rolls = 4

The probability of getting one 6 on four rolls of a single die = 1 - The probability of not getting one 6 on four rolls of a single die.

We know probability = Number of favorable outcomes / Total outcomes

In first throw,

The probability of not getting the number 6 = 5/6

Next three throws are independent events

Therefore,

The probability of not getting one 6 on four rolls of a single die = (5/6) × (5/6) × (5/6) × (5/6) = 625/1296

The probability of getting one 6 on four rolls of a single die = 1 - 625/1296

= 671/1296

= 0.517

Hence, the probability of getting one 6 on four rolls of a single die is 0.517

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The True statements are:

Each element of X is given exactly one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

For D (x) = 2 x:

- x is the independent variable,

- D ( 6 ) = 2 · 6 = 12.

10 = 2 · 5,     12 = 2 · 9,     - 4 = 2 · ( - 2 ).

True statements are:

A ) D ( x ) is a function.

D ) D ( x ) is a direct variation.

E ) D ( x ) is a rule for the set of points ( 5, 10), ( 6, 12 ) and ( -2, - 4 ).

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Answer:

a number is correct watch it clearly

Answer:

Flipped over x-axis, Stretched by 4 times in y values, 1 unit to the left, and 8 units down.

Step-by-step explanation:

Sign in front, outside of parentheses, if negative, represents a vertical flip.

Multiple proceeding is the amount of stretch (or compression if it is a value less than 1)

A positive value within the parentheses represents a shift to the left.

The c value of this function being negative shows a downward transition.

Answer:

119000

Step-by-step explanation:

The median is the middle value when placed from smallest to largest

95000, 112000, 126000, 13000

The middle is between 112000 and 126000 so take the average

(112000+126000)/2 =238000/2 =119000

Answer:

40.9792147473

Step-by-step explanation:

The formula is very simple.

Circumference ÷ 2 × π

Please give brainliest if I helped! :)

The probability of pulling out a number which is divisible by 2 or 3 will be 7/10 which is not given here. So, option D will be the answer.

How do we find Probability?

The measurement through which we find the likelihood of an event to occur is called probability. We cannot predict a lot of events with total certainty. And thus, the chance of a event to occur (i.e. how likely they re going to happen) can be predicted using probability.

Probability of any event to happen can be find as: No of favorable outcomes/Total number of outcomes.

Here,

The total no of outcomes = 1,2,3,4,5,6,7,8,9,10

No of favorable outcomes ={2,3,4,6,8,9,10} = 7

Therefore, P(E) = 7/10

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Answer:

e. a and b only

Step-by-step explanation:

Question - A lambda expression is typically used ?

Solution -

The correct option is - e. a and b only

Reason -

As we know that, lambda expression is used to define anonymous function object.

So,

It is used when the function is short or the function is simple.

And it is used for the functions that are only used once.

So,

a. for functions that are only used once

b. for simple functions

a and b both parts are correct.

So,

The correct option is - e. a and b only

Answer:

460

Step-by-step explanation:

In the number 464, the 6 is in the tens place, the number to the right is less than 5, so you round down, making the answer 460.

Answer:460

Step-by-step explanation:

If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.

Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.

This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.

Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.

Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.

It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.

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Answer:

The slope is -1  (option C in your list)

Step-by-step explanation:

We use the formula for the slope:

slope = (4 - (-1))/ (-3 - 2) = 5 / -5 = -1

Based on the data, the mean would be the best measure of center to describe a typical value in the data set.

To create a dot plot, we can list the numbers in order and place a dot above the corresponding value on the number line.

20 ••

21 ••

22 •

23 ••••

24 •••••

25 ••

26 ••

27 •

The dot plot shows a relatively symmetric distribution of the data, with the majority of values clustered around the middle. Therefore, the mean would be a good measure of center to describe a typical value of the data set.

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Answer:

Step-by-step explanation:

according to the question

7x+x+20=180

=>8x+20=180

=>8x=160

therefore

x=20

===================================================

Explanation:

θ = greek letter theta = reference angle

Using the unit circle, you should find that when θ is pi/3, we have

Dividing sine over cosine gets us tangent

tan(θ) = sin(θ)/cos(θ) = sqrt(3)/2 divide over (1/2) = sqrt(3)

Effectively, the denominators '2' cancel out when dividing the two fractions. The result we get here is not sqrt(3)/2, so we can rule out choice A.

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

Choice B can be ruled out because

cos(0) = 1

sin(0) = 0

So,

tan(0) = sin(0)/cos(0) = 0/1 = 0

which doesn't match with y = pi

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

Following the same ideas as mentioned before:

cos(pi/4) = sqrt(2)/2

sin(pi/4) = sqrt(2)/2 ... it's not a typo, sine and cosine are the same here

tan(pi/4) = 1 after dividing the two items above

We end up with y = 1 as the screenshot shows, so (pi/4, 1) is one point on the graph of y = tan(x).

Choice C is one of the answers

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

Choice D however is not one of the answers because

sin(pi/2) = 1

cos(pi/2) = 0

tan(pi/2) = undefined, because the denominator cosine is 0 in this case

So there's a vertical asymptote at x = pi/2 for y = tan(x)

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

Choice E is another answer, because,

sin(pi) = 0

cos(pi) = -1

tan(pi) = sin(pi)/cos(pi) = 0/(-1) = 0

This shows (pi, 0) is a point on y = tan(x).

The graph is shown below. Points C and E are on the blue tangent curve, while everything else isn't.

I used GeoGebra to create the graph. Desmos is also a handy tool that can perform similar tasks.

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

Since we can choose 4 of the 15 toppings, we can order 1365 different types of pizzas with 4 toppings

Since the question says 'choose', it is a combination question and order is not important.

This is the number of ways in which x objects can be selected from n objects.

It is given mathematically as ⁿCₓ = n!/[r!(n - r)!]

Now given that we have 15 toppings for pizza and we want to choose any 4, So, we are choosing 15 toppings in 4 ways. So,

So, ¹⁵C₄ = 15!/4!(15 - 4)!

= 15!/4!11!

= 15 × 14 × 13 × 12 × 11!/4!11!

= 15 × 14 × 13 × 12/24

= 15 × 7 × 13

= 1365 ways

So, we can order 1365 different types of pizzas with 4 toppings

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The circumference of a circle is equal to \(\pi\) times the length of the diameter of the circle (\(\pi\) is a constant which is approximately equal to 3.14).

Answer:

7.8333333

Step-by-step explanation:

The original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size."

a. To find the probability that a randomly selected female has a pulse rate less than 80 beats per minute, we need to standardize the value using the formula z = (x - μ) / σ, where x is the pulse rate we are interested in, μ is the mean pulse rate, and σ is the standard deviation. Thus, we have:

z = (80 - 76) / 12.5 = 0.32

Using a standard normal distribution table or a calculator, we can find that the probability of a z-score less than 0.32 is approximately 0.6255. Therefore, the probability that a randomly selected female has a pulse rate less than 80 beats per minute is:

P(z < 0.32) = 0.6255

b. Since we are dealing with a sample size of 25 females, we can use the central limit theorem, which states that the distribution of sample means will be approximately normal with a mean of μ and a standard deviation of σ / sqrt(n), where n is the sample size.

In this case, we have:

μ = 76.0

σ = 12.5

n = 25

Therefore, the standard deviation of the distribution of sample means is:

σ / sqrt(n) = 12.5 / sqrt(25) = 2.5

To find the probability that 25 randomly selected females have a mean pulse rate less than 80 beats per minute, we need to standardize the value using the formula z = (X- μ) / (σ / sqrt(n)), where X is the sample mean.

Thus, we have:

z = (80 - 76) / (2.5) = 1.6

Using a standard normal distribution table or a calculator, we can find that the probability of a z-score less than 1.6 is approximately 0.9452. Therefore, the probability that 25 randomly selected females have a mean pulse rate less than 80 beats per minute is:

P(z < 1.6) = 0.9452

c. The normal distribution can be used in part (b) because we are dealing with the distribution of sample means, not individual pulse rates. The central limit theorem states that the distribution of sample means will be approximately normal regardless of the sample size, as long as the sample size is sufficiently large (typically, n ≥ 30). In this case, we have a sample size of 25, which is smaller than 30, but we can still use the normal distribution approximation because the population distribution is assumed to be normal.

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Answer:

a^5b^9

Step-by-step explanation:

a^2b^4 * a^3b^5 = a^5b^9

The product of a²b⁴ and a³b⁵ is a⁵b⁹.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given the two expressions as :

⇒ a²b⁴ and a³b⁵

To determine the product of a²b⁴ and a³b⁵

⇒ (a²b⁴) × (a³b⁵)  

Rearrange the terms like wise,

⇒ a²a³b⁴b⁵

Adding to powers of same base,

⇒ a⁽²⁺³⁾b⁽⁴⁺⁵⁾

⇒ a⁵b⁹

Hence, the product of a²b⁴ and a³b⁵ is a⁵b⁹.

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answer/Step-by-step explanation:

m=y-y/x-x

m=58-(-61)/-7-10

m=119/-17

m=-7

Step-by-step explanation:

We can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

The function f(x) = -x³ + 6x² -10x + 4 is a polynomial function, which means that it is defined for all real values of x. Unlike some functions (such as square roots or logarithms) which have restrictions on their input values, a polynomial function can take any real number as an input.

To express the domain of the function in interval notation, we use the notation (-∞, ∞), which represents all real numbers. The symbol ∞ stands for infinity, and the open interval notation with the parentheses indicates that there are no specific endpoints for the domain; it extends indefinitely in both directions along the real number line.

Therefore, we can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

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Answer:

-13x + y = -12

Step-by-step explanation:

As,

Here when,

y = 13x - 12

-13x + y = -12.

[Since '+' sign converts to '-' sign on opposite side of the equation]

Answer: A

Step-by-step explanation:

Answer:

the answer is 18 feet because that line in the middle of the triangle is half the size of AC

Answer:

From what my calculations said its 20%

Answer:

H sin theta = X   where H = 600 and theta is 36 by alternate interior angles

X = 600 sin 36 = 353

The given diagram is a pentagon with different side measurements.

The perimeter is defined as the sum of all external boundaries of the figure.

So the perimeter (P) of the pentagon is equal to the sum of the 5 sides of the figure,

Thus, the perimeter of the figure is,