Find the measure of

Answer:

Below

Step-by-step explanation:

12:10 PM -   ( 1 + 1 ) hr = 10:10 AM    then subtract the 40 min to get 9:30 AM

Answer:

0.0100250

0.0001566

0.0000009445555

Step-by-step explanation:

Given the following :

Total number of containers = 400

Number of defective oranges = 5

2 are randomly selected without replacement :

A.) What is the probability that the second one selected is defective given that the first one was defective?

Since selection is without replacement and given that the first pick is defective ; number of defective oranges left = 4 ; total oranges left in container = (400 - 1) = 399

Hence,

Probability = (required outcome / Total possible outcomes)

P(2nd defective given 1st is defective) = 4 / 399

27. What is the probability that both are acceptable?

This means probability that both picks aren't defective.

Ist pick = 1 - P(defective) = (1 - (395/400) = 0.0125

2nd pick = 1 - P(defective) 1 - (394/399) = 0.0125313

.Hence, 0.0125 × 0.0125313 = 0.0001566

28. If three are selected without replacement, what is the probability that all three are defective?

1st pick = 5 / 400 = 0.0125

2nd pick = 4 / 399 = 0.0100250

3rd pick = 3 / 398 = 0.0075376

Hence, (0.0125 × 0.0100250 × 0.0075376) = 0.0000009445555

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

500000000000000

Step-by-step explanation:

multiply 500000 by 4000000000 (2000000000000000), then divide by 4 (500000000000000)

Let x = Juan's miles

Bob's miles = 3x - 0.8

Ned's miles = x + 2

x + (3x - 0.8) + (x + 2) = 26.2

5x + 1.2 = 26.2

5x = 25

x = 5

Juan ran 5 miles, Bob ran 13.2 miles, Ned ran 7 miles.

75% of the students are shorter than 68 inches.

Of the 8 students, only 2 are 68 inches tall or more, meaning theres 1/4 or 25% of students who are taller than 68 inches. That being said, that means there are 3/4 or 75% of students shorter than 68 inches. Thus meaning 75% is your answer.

I hope this helps!

Answer:

\(Average = 10\)

Step-by-step explanation:

Given

\(First\ Three = 14\) --- Average

\(Next\ Seven= 4\) --- Average

Required

Determine the overall average

Represent the sum of the first three with x.

So:

\(\frac{x}{3} = 14\)

Solve for x

\(x = 14 * 3\)

\(x = 42\)

Represent the sum of the next seven with y.

So:

\(\frac{y}{7} = 4\)

Solve for y

\(y = 4 * 7\)

\(y = 28\)

The overall average is calculated as thus:

\(Average = \frac{x + y}{7}\)

\(Average = \frac{42 + 28}{7}\)

\(Average = \frac{70}{7}\)

\(Average = 10\)

Answer:

35

Step-by-step explanation:

just trust me its the total

Answer:

35

Step-by-step explanation:

25-5=20

20-10=10

10+15=25

25+10=35

Answer:

the correct answer will be B i took the test and got a 100%

Step-by-step explanation:

B. Lemon Brown has lived a more exciting life of a musician, while Greg’s father lives a more stable existence as a postal worker.

Answer:

BONUS: At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, … moisture in the air condenses into dew which freeze at 0°C and may damage the plants in the garden. At 4:00 P.M., the temperature is 5°C.

Step-by-step explanation:

Considering the definition of parallel line, the correct answer is the second option: y = -4x and y = -4x-5 are parallel lines.

A linear equation o line can be expressed in the form y = mx + b

where

Parallel lines are two lines that are always at the same distance from each other. Parallel lines prolonged towards infinity never touch.

Two lines are parallel if they have the same slope or value of m and different y-intercepts or value of b.

In this case, you know:

You can see that the value of the slope is the same, while the value of the y-intercept or b is different.

In conclusion, considering the definition of parallel lines, the correct answer is the second option: y = -4x and y = -4x-5 are parallel lines.

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Answer:

w \(\leq\) 50

Step-by-step explanation:

Answer:

60 candies

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

m=rise/run

The required slope of the roof is given as 7/12, as per the given conditions.

Given that,
A roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface.

The slope is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

here,
Vertical reading of rising measure by a 12-inch level = 7
horizontal reading(run measure) = 12

The slope of the roof is given as,
m = rise/ run
m = 7 / 12

Thus, the required slope of the roof is given as 7/12, as per the given conditions.

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\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \tt \: -20 \div 5(-3)+4(-2)(-1)-4 ^ { 2 }\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \tt \: -20 \div 5(-3)+4(-2)(-1)-4 ^ { 2 }\)

Divide -20 by 5 to get -4.

\( \tt \: -4\left(-3\right)+4\left(-2\right)\left(-1\right)-4^{2} \)

Multiply -4 and -3 to get 12.

\( \tt \: 12+4\left(-2\right)\left(-1\right)-4^{2} \)

Multiply 4 and -2 to get -8.

\( \tt \: 12-8\left(-1\right)-4^{2} \)

Multiply -8 and -1 to get 8.

\( \tt \: 12+8-4^{2} \)

Add 12 and 8 to get 20.

\( \tt \: 20-4^{2} \)

Calculate 4 to the power of 2 and get 16.

\( \tt \: 20-16 \)

Subtract 16 from 20 to get 4.

\( = \boxed{\boxed{ \bf 4}}\)

Hey there!

-20 ÷ 5 (-3) + 4 (-2) (-1) - 4²

= -4 × -3 + 4 (-2) (-1) - 16

= 12 -8 (-1) - 16

= 12 + 8 - 16

= 20 - 16

= 4.

Hope it helps ya!

Answer:

17 ft.

Step-by-step explanation:

Because 17x25=425

And 25-8=17

Answer:

No

Step-by-step explanation:

No, ( -5, 6) ( -2, 0) ( 0, 6) ( 0, 2) ( 1, -3) do not make up a function. It does not pass the vertical line test when graphed, as there are 2 points, (-5, 6), and (0, 6), that lines up on the same y-value.

Answer:

The answer is 110.3

Step-by-step explanation:

Answer:

The probability that, in any hour, less than 2 customers will arrive is 0.0067.

Step-by-step explanation:

The random variable X can be defined as the number of customers arriving hourly at the drive-through window at the Fidelity Credit Union.

The random variable X describes a finite number of occurrences of an event in a fixed time interval.

The random variable X follows a Poisson distribution with parameter λ = 7.1.

The probability mass function of X is:

\(P(X=x)=\frac{e^{-7.1}(7.1)^{x}}{x!};x=0,1,2,3...\)

Compute the probability of less than 2 customers arriving as follows:

\(P(X<2)=P(X=0)+P(X=1)\)

                \(=\frac{e^{-7.1}(7.1)^{0}}{0!}+\frac{e^{-7.1}(7.1)^{1}}{1!}\\\\=0.00083+0.00586\\\\=0.00669\\\\\approx 0.0067\)

Thus, the probability that, in any hour, less than 2 customers will arrive is 0.0067.

Answer:

\(Selection = 345025251\)

Step-by-step explanation:

Given

\(Total = 51\)

\(Numbers = 7\)

Required

Determine number of selection

It's important that

- The first number can be any of the 51 numbers

- The second number can be any of the 51 numbers

- The third number can be any of the 51 numbers

- The fourth number can be any of the 51 numbers

And so on

Hence, number of selections is:

\(Selection = 51 * 51 * 51 * 51 * 51\)

\(Selection = 51^5\)

\(Selection = 345025251\) ways

A perfect square means if you find the square root of the number it will be a whole number .

A perfect square is square of a number(whole)

Like

\(\\ \bull\longmapsto 169=13^2\)

\(\\ \bull\longmapsto 900=30^2\)

Step-by-step explanation:

hope it's helpful for you

pls mark me as brainliest if my answer is helpful

The numerical value of x in the similar pair of triangle is 10.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

From the diagram,

Side A of the small triangle = 10

Side B of the small triangle = x + 2

Side A of the Big triangle = 10 + x

Side B of the big triangle = x + 14

Hence;

Ratio of Side A to Side B of the small triangle = 10 / x + 2

Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14

Since the triangle area similar, equate the two ratio and solve for x.

10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )

Cross multiply

10( x + 14 ) = ( 10 + x )( x + 2 )

Expand using FOIL method

10x + 140 = 10x + 20 + x² + 2x

10x + 140 = x² + 12x + 20

x² + 12x + 20 = 10x + 140

x² + 12x + 20 - 10x - 140 = 0

x² + 2x - 120 = 0

Factor the left side of the equation

( x - 10 )( x + 12 ) = 0

Hence;

x - 10 = 0 and x + 12 = 0

x = 10 and x = -12

Since the dimension of the triangle cannot be negative,

x = 10

Therefore, the value of x is 10.

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ANSWER

EXPLANATION

We want to find the median of the data set.

First, we have to arrange the data values in the data set from least to greatest:

Since the number of data values in the data set is even (8), to find the median, find half of the sum of the two middle terms in the ordered dataset i.e. 5 and 9.

That is:

That is the median of the data set.

The percentile of the top students will be 88%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top 12% of high school students in the state.

The percentile of the top student is given as,

⇒ 100% - 12%

⇒ 88%

The percentile of the top students will be 88%.

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The value of f(1) by using the attached graph is f(1) = -2.

A collection of objects is arranged in a graph, where some object pairings are conceptually "linked." Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.

Given:

The graph shown in the question is representing the function value,

To find f(1) = ?

The value of f(1) will be equal to the value of x as the graph is linear so,

f(1) = value of y at x = 1

value of y at x = 1 = -2  (From the graph)

Thus, f(1) = -2.

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1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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