help me please !
Item 4
Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each piece. Juan has a piece of string that is 12 as long as Aisha's seventh-longest piece. (Note: The problem states the seventh-longest piece, not the seventh-longest length.)

How long is Juan's piece of string?

Enter your answer as a mixed number in simplest form by filling in the boxes.


in.

The sine function that has a midline of 5, an amplitude of 4, and a period of 3r/2 is f(x) = 4 × sin(4/3 × x) + 5.

To write a sine function with a midline of 5, an amplitude of 4, and a period of 3π/2, we can use the general form of a sine function:

f(x) = A × sin(Bx + C) + D

Where:

A is the amplitude

B affects the period (B = 2π/period)

C is the phase shift

D is the vertical shift (midline)

Given the values, the equation becomes:

f(x) = 4 × sin(2π/(3π/2) × x + C) + 5

Simplifying further:

f(x) = 4 × sin(4/3 × x + C) + 5

The value of C will depend on the specific starting point or phase shift of the sine wave. If no phase shift is specified, we can assume it to be zero.

Therefore, the sine function with a midline of 5, an amplitude of 4, and a period of 3π/2 is:

f(x) = 4 × sin(4/3 × x) + 5

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Answer:

lily - 5

5+8= 13

James - 13

13+5= 18

18-75= 57

Michael - 57

Step-by-step explanation:

Here is the first one as an EXAMPLE...you can do the rest of them

Intercepted arcs = 45 and 109 degrees

  AED = (45 + 109) / 2 = 77 degrees     ( angle BEC has the same measure)

The Area of the Parallelogram is approximately: 13 square units.

We have a rectangle, remember that the area of a rectangle of length L and width W is equal to:

Area = W * L

Here we can define the length as the distance AB.

A = (3, 6) and B = (6, 5).

Then the distance between these points is:

L = √[(3 - 6)² + (6 - 5)²]

L = √10

The width is the distance AD, then:

A = (3, 6) and D = (2, 2), so we have:

W = √[(3 - 2)² + (6 - 2)²]

W = √17

Area = √10 * √17

Area = √(10 * 17)

Area = √170

Area = 13 square units.

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The probability 7C3 = 35 possible ways to place 7 identical balls into 3 identical boxes.

The number of ways to place 7 identical balls into 3 identical boxes can be calculated by using the combination formula. The formula for combinations is nCr = n! / (r! (n-r)!), where n represents the total number of items and r represents the number of items being chosen. In this case, n = 7 and r = 3, so the formula becomes 7C3 = 7! / (3! (7-3)!). This simplifies to 7C3 = 7! / (3!4!) = 35. Therefore, there are 35 possible ways to place 7 identical balls into 3 identical boxes.

In each case, the balls can be placed into one box, two boxes, or three boxes, depending on how many balls are placed in each box. If one ball is placed in each box, then the remaining four balls can be placed in any of the boxes, giving four possibilities. If two balls are placed in each box, then the remaining one ball can be placed in any of the boxes, giving three possibilities. Finally, if all seven balls are placed in one box, then there is only one possibility. When the combinations of each scenario are added together, the total number of possible ways to place 7 identical balls into 3 identical boxes is 35.

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We have to find the slope of a linear function that passes through the points (-2,-5) and (-1,-6).

For doing so, we will use the formula:

where (x₁,y₁) and (x₂,y₂) are two points of the line. Replacing we obtain that:

This means that the slope of the linear function is -1.

Answer:

D

Step-by-step explanation:

answer is d

In a distribution with a mean of 60 and a standard deviation of 8, the proportion of scores lower than 54 is approximately 0.34.  

In a distribution with a mean of 60 and a standard deviation of 8 and the proportion of scores lower than 54. This can be calculated using the formula for a normal distribution, which states that the proportion of values lying between two given points is equal to the area under the normal curve between those two points.

To calculate the area under the normal curve between 54 and 60, we first calculate the z-score for each point. The z-score for 54 is -0.75, and the z-score for 60 is 0.75. Then, using a z-table, we can find the area under the normal curve between -0.75 and 0.75, which is 0.34. This is the proportion of scores lower than 54.

To explain in more detail, the mean '60' is the midpoint of the distribution. It is the average of all the scores in the distribution. The standard deviation '8' is a measure of how spread out the scores are. The farther away a score is from the mean, the lower the probability of that score occurring. This means that scores closer to the mean are more likely than scores farther away from the mean.

In this case, 54 is 6 points lower than the mean of 60, which is approximately 0.75 standard deviations away from the mean. As discussed earlier, this means that the probability of a score lower than 54 occurring is approximately 0.34.

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If a string has 20 light bulbs and these lights are all wired in series, so that if one light bulb fails, the whole string fails and the probability that any one light fails is 0.2 and each of the individual lights are independent of each other, then the probability that the string will not fail is 0.0115.

Probability in mathematics deals with the likelihood of an event to take place.

The probability that the string will not fail refers to when all 20 bulbs will not fail. As given in the conditions, each of the individual lights are independent of the other. Therefore;

the probability that any one of the lights will not fail is:

1 - probability that any one light fails = 1 - 0.2 = 0.8

And we need all 20 to be complete. The unity of events is a product of probabilities. Therefore the probability that the string will not fail is:

P = 0.8^20

P = 0.0115

Hence 0.0115 is the probability that the string will not fail.

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Answer:

2

Step-by-step explanation:

Answer:

9 1/10th m/s2 :)

Step-by-step explanation:

The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...

Non-overlapping intervals:

If the intervals(say interval a & interval b) doesn't overlap then the set of pairs form by [a. end, b. start] is the non-overlapping interval.

In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers {\displaystyle \mathbb {R} }\mathbb {R} , the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).

Let's take the below mentioned overlapping intervals example to explain the idea: If both ranges have at least one common point, then we say that they're overlapping. In other words, we say that two ranges and are overlapping if: On the other hand, non-overlapping ranges don't have any points in common.

Given N set of time intervals, the task is to find the intervals which don’t overlap with the given set of intervals.

Examples:

interval (a) = { {1, 3}, {2, 4}, {3, 5}, {7, 9} }

Output:  [5, 7]

The only interval which doesn’t overlaps with the other intervals is [5, 7].

interval (a) = { {1, 3}, {9, 12}, {2, 4}, {6, 8} }

Output: [4, 6]  and [8, 9]

There are two intervals which don’t overlap with other intervals are [4, 6], [8, 9].

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The rate at which the money is growing is exponential. The formula for determining such exponential growth is expressed as

A(t) = Pe^rt

Where

A(t) represents the amount after t years

P represents the initial amount

t represents the number of years

r represents the growth rate

Given that the amount doubles after 6 years, it means that

when t = 6, A(t) = 7400 * 2 = 14800

Recall, P = 7400

Thus, the expression becomes

14800 = 7400e^6t

14800/7400 = e^6t

2 = e^6t

Taking natural logarithm of both sides of the equation, it becomes

ln 2 = ln e^6t = 6t lne

Recall, ln e = 1

Thus, we have

ln 2 = 6t

t = ln2/6 = 0.1155

The equation would be

A(t) = 7400e^0.1155t

When t = 4, it becomes

A(t) = 7400e^0.1155*4

A(t) = 11745.62

Rounding to the nearest dollar, the amount in the account after 4 years is

$11746

9514 1404 393

Answer:

  x = 3

  y = 2

Step-by-step explanation:

Segments in the smaller triangle are half the length of the corresponding segments in the larger triangle.

Shortest to longest, the segments are ...

  3 : 4 : 6 = 1.5 : y : x = 1.5 : 2 : 3

  y = 2

  x = 3

Answer:

5/45

Step-by-step explanation:

The 5th equivalent fraction to 1/9 will be 5/45.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

''5th equivalent fraction to 1/9''

Now,

Solve the fraction as;

''5th equivalent fraction to 1/9''

= 5/5 x 1/9

= (5 x 1) / (5 x 9)

= 5 / 45

Thus, The 5th equivalent fraction to 1/9 will be 5/45.

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Using the expected value of a discrete distribution, it is found that the expected net gain to the player for one play of the game is of -$4.22.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Considering that there are 6000 tickets, the distribution of net gains is given as follows:

Hence, the expected net gain is given by:

\(E(X) = \frac{3445 + 745 + 20(20) - 5(5978)}{6000} = -4.22\)

The expected net gain to the player for one play of the game is of -$4.22.

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cos(a b) = 0.965 and sin(a b) = 0.674 .

sin a = 0.865

cos a = √(1 - sin² a)

cos a = sqrt(1 - 0.865²)

cos a = 0.502

Similarly, cos b = 0.529

sin b = √(1 - cos² b)

sin b = √(1 - 0.529²)

sin b = 0.854

Trigonometry identity

cos(a b) and sin(a b)

cos(a b) = cos ( 0.502 × 0.529 )

cos(a b) = cos 0.266

cos(a b)  = 0.965

Trigonometry identity

sin(a b) = sin (0.865 × 0.854 )

sin(a b) = sin (0.739)

sin(a b) = 0.674

Therefore, cos(a b) = 0.965 and sin(a b) = 0.674

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Answer:

its a because 5 x 4 = 20, 5 x 6 = 30 and 5 x 9 = 45

Step-by-step explanation:

THE ANSWER IS A

hope it helps ;)

A person tosses a coin 15 times. In how many ways can he get 3 heads? The answer is 455 ways.

To find the answer, we can use the formula for combinations, which is:
C(n, k) = n! / (k! * (n-k)!)
Where n is the total number of tosses, and k is the number of heads we want to get.
In this case, n = 15 and k = 3, so we can plug these values into the formula:
C(15, 3) = 15! / (3! * (15-3)!)
C(15, 3) = 15! / (3! * 12!)
C(15, 3) = (15 * 14 * 13 * 12!)/ (3! * 12!)
C(15, 3) = 455
So there are 455 ways to get 3 heads when tossing a coin 15 times.

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Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

Considering there are males, females and other genders

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

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Answer:

all boxes except first should be checked

Step-by-step explanation:

the shaded area contains all solutions

see if each ordered pair resides in the solution area

The given statement " the notation "f(x)" is another way of representing y-values in a function" is true because f (x) and y are the same things.

The notation f(x), read as "f of x", indicates a function named f. It reflects that 'y is a function of x'. The letter 'x' refers to the input value or independent variable. While the letter 'y' is replaced by f(x) and it refers to the output value or dependent variable.

The notation 'f (x)' is exactly the same as that of 'y'. Even on graphs, y-axis can be labelled with 'f (x)'.

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Answer:

option B

-5/2

Step-by-step explanation:

______________________

The smallest angle measures 2x°.

To find the smallest angle, we need to determine the value of x first. We know that the sum of the interior angles of a pentagon is (n-2) x 180, where n is the number of sides of the polygon. For a pentagon, this formula gives us a sum of 540 degrees. So we can write an equation based on the angles given:

2x + 3 + 4x + 5x + 6x = 540

Simplifying the equation, we get:

17x + 3 = 540

Subtracting 3 from both sides, we get:

17x = 537

Dividing by 17, we get:

x = 31.59

Now that we know the value of x, we can find the measure of the smallest angle, which is 2x:

2x = 2(31.59) = 63.18 degrees

Therefore, the measure of the smallest angle is 63.18 degrees.

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Answer:

88cm^2

Step-by-step explanation:

Area of the rectangle: base x height

Area of parallelogram: base x height

Area of the shaded part: area of rectangle -area of parallelogram:

12x10-4x8=120-32=88

Answer:

so whats the question

Step-by-step explanation:

Answer:

she had a perfect score in 1/8 of all tests

she had a perfect score in 4 tests

Step-by-step explanation:

Tamara earned an A in 5/8 of all the tests she took.

In 1/5 of the those tests she got an A, she had a perfect score.

1/5 of 5/8 is 1/5 * 5/8 which equals 5/40 which can be reduced to 1/8.

That means that in 1/8 of all tests she took she got a perfect score.

She took a total of 32 spelling tests.

1/8 of 32 = 1/8 * 32 = 32/8 = 4

Answer:

she had a perfect score in 1/8 of all tests

she had a perfect score in 4 tests

You must find the 75% from 24

so 18 students are making a B or higher