solution to 8n is less than72

Answer:

We know that at 6:00 they are 180 degrees from each other. Every minute, the hour hand moves 1/2 of a degree, and the minute hand moves 6 degrees. So in 48 minutes, the hour hand moves 24 degrees and the minute hand moves 288 degrees. 288-180-24=84. So, 84 degrees.

Answer : A=abs((30*6) - (5.5*48)), solve for A A = 84 Degrees.

Step-by-step explanation:

Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.

To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.

First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.

Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.

By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.

Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.

Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.

By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.

Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.

Therefore, (a, b) ∈ R implies (a, b) ∈ R2.

We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.

If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.

To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.

In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.

Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.

In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.

However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.

This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

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For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.

Probability is a measure of the likelihood that an event will occur.

The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.

Let, X be the random variable denoting the number of shoppers on a random day.

Then, X follows normal with mean 505 and standard deviation of 115.

Then, we can say that,

Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.

We have to find

P (250 <X< 450)

= P {(250-505)/155} < Z < {(450-505)/155}

= P (-1.64 <Z< -0.03)

Where, Z is the standard normal variate.

ρ = -1.64 <ρ< -0.03

Where, ρ is the distribution function of the standard normal variate.

From the standard normal table, this becomes

=0.00585

For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.

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The probability that Bob is the last customer to leave the post office comes out as (1 - e^(-λx))^2. The probability that Bob is the last customer to leave the post office can be calculated using the exponential distribution formula.

The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process. The formula for the exponential distribution is: P(X=x) = λe^(-λx)

Where X is the random variable representing the time between events, λ is the rate parameter, and e is the base of the natural logarithm.


P(Bob is the last customer to leave) = P(Bob's serving time > Alice's serving time) * P(Bob's serving time > Claire's serving time). Since the serving times follow an exponential distribution with parameter λ, we can use the formula to calculate the probabilities:

P(Bob's serving time > Alice's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)
P(Bob's serving time > Claire's serving time) = ∫_0^∞ λe^(-λx) dx = 1 - e^(-λx)

P(Bob is the last customer to leave) = (1 - e^(-λx))^2
Therefore, the probability that Bob is the last customer to leave the post office is (1 - e^(-λx))^2.

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Answer:

S4, E17 (Judgement)

Step-by-step explanation:

Hope that helps!

Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

Joaquin bought 4 pretzels and 2 bottles of water for $13.00. Kelly bought 3 pretzels and a bottle of water for $9.00 , then the price of a bottle of water is $2.50 and bag of pretzels is $2.00 .

Let's call the price of a bottle of water "x" and the price of a pretzel "y". We can set up two equations based on the information given:

4y + 2x = $13.00

3y + x = $9.00

To find the price of a bottle of water, we can isolate x by subtracting the second equation from the first:

4y + 2x - 3y - x = $13.00 - $9.00

y = $2.00

So the price of a pretzel is $2.00.

Now that we know the price of a pretzel, we can substitute it back into either of the original equations to find the price of a bottle of water:

4y + 2x = $13.00

4($2.00) + 2x = $13.00

8.00 + 2x = $13.00

2x = $13.00 - $8.00

2x = $5.00

x = $5.00 / 2

x = $2.50

So the price of a bottle of water is $2.50.

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Answer:

5

Step-by-step explanation:

10/2=5

20/4=5

hope this helps :3

if it did pls mark brainliest

Answer:

1:5

Step-by-step explanation:

30 divided by 6 is 5 and so are the rest

Answer:

b)612÷6

Step-by-step explanation:

6)612(102

-6

01

- 0

12

-12

0

=102

The given argument can be considered as formally invalid because it contains a logical fallacy. In particular, the fallacy involved is known as the affirming the consequent fallacy, which is a type of non sequitur.

This fallacy occurs when a conclusion is drawn that affirms the consequent of a conditional statement, without considering other factors. In this case, the argument starts with a conditional statement (if Felix is a bachelor, then he is not married) and then proceeds to the conclusion that Felix is not a bachelor based solely on the fact that he is married.

However, this conclusion does not necessarily follow from the conditional statement because it is possible for someone to be married without being a bachelor, such as if they were previously married and then divorced. Therefore, the argument is not valid.

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The histogram with the narrow peak would be expected to contain more consistent numbers.

This is because the width of a histogram reflects the variability of the data that it represents. A histogram with a wide spread indicates that the data values are spread out and vary greatly, while a histogram with a narrow peak indicates that the data values are relatively consistent and cluster close together.

In a histogram with a widespread, the difference between the highest and lowest data values is large, indicating that the values are inconsistent and vary widely. On the other hand, in a histogram with a narrow peak, the difference between the highest and lowest data values is small, indicating that the values are more consistent and cluster closely together.

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Answer:

numbers that describe diversity in a distribution are referred to as measures of Numbers that describe diversity in a distribution are referred to as measures of    Variability

Step-by-step explanation:

Answer:

104.7664068

Step-by-step explanation:

The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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The ratio of the height of the model to the height of the actual Space Needle is 1: 484 or 484: 1.

A ratio is a comparison of two numbers. It is expressed as a fraction, with the first number representing the first quantity and the second number representing the second quantity.

The Space Needle is an iconic landmark located in Seattle, Washington. It stands 605 feet, making it one of the tallest structures in the Pacific Northwest.

= ( 605 x 12 in )

= 7,260 inches

A model of the Space Needle is also available, which is 15 inches tall. To understand the ratio of the model to the actual Space Needle, we must first understand what a ratio is.

In this case, the ratio of the height of the model to the height of the actual Space Needle is expressed as a fraction with the model's height on top and the Space Needle's height on the bottom.

ratio = ( height of model ) / ( height of actual space )

ratio = ( 15 inches ) / ( 7260 inches )

ratio = 1 : 484

This results in a ratio of 1:484, or 484:1. This means that for every one inch of the model's height, there are 484 inches of the actual Space Needle’s height.

Therefore both (b) and (d) is correct.

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Answer:

y = 10

Step-by-step explanation:

y = 5x

Let x = 2

y = 5*2

y = 10

Answer:

y = 10

Step-by-step explanation:

Consider the equation: y = 5x

It is given that x = 2. Plug in 2 for x, and multiply:

y = 5x

y = 5(2)

y = 5 * 2 = 10

y = 10

10 is your value of y when x = 2.

~

Answer: The question is not clear.

Step-by-step explanation:

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer: each time you roll a 6-sided die is 1/6 percent to get any number  

Step-by-step explanation:

Answer:

not factorable

81x^2+1

Step-by-step explanation:

Answer:

10 Newtons to the left

Step-by-step explanation:

The overpowering force is the pull that is 30 Newton's left. We subtract this from the smaller force of 20!

\(30N-20N=10N\)

Have a Happy April Fool's XD

Answer:

$145.38

Step-by-step explanation:

436.14-(1/3)(436.14)-(1/2)(436.14) = 145.38

The amount of money that Katherine left after considering all fractions will be $145.38.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The denominator of a fraction is the numerical value that comes before the brings together various.

It represents the number of pieces removed from the whole.

As per the given,

Initial amount = $436.14

1/3 of it is = (1/3)436.14 = $145.38

Since, she saved into a saving account so she left with,

$436.14 - $145.38 = $290.76

Now,1/2 of it will be,

(1/2)290.76 = $145.38.

Hence "The amount of money that Katherine left after considering all fractions will be $145.38".

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Answer:

<B = 95degrees

<D = 137 degrees

Step-by-step explanation:

From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;

<A +<B = 180

85 + <B = 180

<B = 180 - 85

<B = 95degrees

Similarly

<C + <D =180

43 + <D = 180

<D = 180 - 43

<D = 137 degrees

Answer:

90\(\pi\)

Step-by-step explanation:

if you want explanation say in comments

Step-by-step explanation:

On the right    one diamond and a heart  balances 4 hearts

                               d + h = 4h

                                d = 3h      and  d=6  (given)

                                 6 = 3h

                                           then h = 2

Total is 42

7 h + 3d + 2 t = 42

7(2) + 3 (6) + 2t = 42

 14 + 18 + 2 t = 42

2t = 10

t ( the blue thing) = 5

Answer:

f=6.1

Step-by-step explanation:

First, we need to isolate the variable f. Then, subtract.because we are taking 4.3 to the opposite side.

4.3+f=10.4

f=10.4-4.3

f=6.1

Answer:

6

Step-by-step explanation:

7237 x 2 is 47

Answer:

(P-8)/3m

Step-by-step explanation:

P= 3Km+ 8

make k subject of formula

* P-8= 3KM

* divide both side by 3m

* (P-8)/3M

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