if your last period started on Augest 6 and stopped on Augest 11. when will you have your next period?​

To solve this problem let's draw a picture.

We must compare ratios between the two rectangles. Like this.

For the first rectangle we may write:

12 / 5

For the second one we get:

24 / 15

But we can simplify that. Divide numerator and denominator by 3. We have:

24 / 15 = 8 / 5

Comparing both fractions:

12 / 5 ≠ 8 / 5

Answer: The new rectangle won't be proportional to the original.

Answer:

x = 1

Explanation:
The value of the first bracket of numbers without the x is 9 and 2 for the second also without the x. 9 is divisible to get 3, and 1 can add to 2 to get 3. Since 1 will not affect 4x + 5 due to 1 being the multiplicative identity, this equation is simply (4 + 5)/(1 + 2) to 9 ÷ 3, which is 3. So x equals to 1.

Hope this helps !!

When X = 3 then Y = -6

Here is the explanation:

If Y1 = -4 when X1 = 2

and if X2 = 3 when Y2 = ?

The formula is

\(\frac{Y2}{X2} =\frac{Y1}{X1}\\\\Y2 = \frac{Y1}{X1} x X2\\\\Y2=\frac{-4}{2}x3\\\\Y2=-6\)

Hence if X = 3 then Y = -6

Read more about direct variation here

https://brainly.com/question/13977805

#SPJ1

There are 10 students in a class, 6 of them wear glasses. If a student is chosen at random from the class, then the probability that they do not wear glass is 2/5

Total number of Students = 10

Students who wear glasses = 6

Students who don't wear glasses = 4

Probability is the ratio of favorable outcomes to the total favorable outcomes. The probability formula can be expressed as,

P(E) = (Number of favorable outcomes) ÷ (Total favorable outcomes).

The probability of a student not wearing glasses is,

Probability = Students who don't wear glasses/Total number of Students

Probability = 4/10 i.e., 2/5

Learn more about Probability here:
https://www.cuemath.com/data/probability/

Answer:

y = 2x - 4

Step-by-step explanation:

To solve this problem, we must first calculate the slope of the line AB using the formula:

\(\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

where:

m ⇒ slope of the line

(x₁, y₁), (x₂, y₂) ⇒ coordinates of two points on the line

Therefore, for line AB with points A = (2, 5) and B = (4, 4) :

\(m_{AB} = \frac{5 - 4}{2 - 4}\)

⇒ \(m_{AB} = \frac{1}{-2}\)

⇒ \(m_{AB} = -\frac{1}{2}\)

Next, we have to calculate the slope of the line BC.

We know that the product of the slopes of two perpendicular lines is -1.

Therefore:

\(m_{BC} \times m_{AB} = -1\)      [Since BC and AB are at right angles to each other]

⇒ \(m_{BC} \times -\frac{1}{2} = -1\)

⇒ \(m_{BC} = -1 \div -\frac{1}{2}\)      [Dividing both sides of the equation by -1/2]

⇒ \(m_{BC} = \bf 2\)

Next, we have to use the following formula to find the equation of line BC:

\(\boxed{y - y_1 = m(x - x_1)}\)

where (x₁, y₁) are the coordinates of a point on the line.

Point B = (4, 4) is on line BC, and its slope is 2. Therefore:

\(y - 4 =2 (x - 4)\)

⇒ \(y - 4 = 2x - 8\)         [Distributing 2 into the brackets]

⇒ \(y = 2x-4\)

Therefore, the equation of line BC is y = 2x - 4.

Answer:

\(A=15\ cm^2\)

Step-by-step explanation:

Given that,

The height of the cuboid = 6 cm

The volume of the cuboid = 90 cm²

We need to find the area of the shaded face.

The volume of a cuboid is given by the formula as follows :

\(V=A\times h\)

A is area of the shaded face

Putting all the values,

\(A=\dfrac{V}{h}\\\\A=\dfrac{90}{6}\\\\A=15\ cm^2\)

So, the area of the shaded face is \(15\ cm^2\).

The initial condition is $3.

The constant rate of change is 0.75 for every mile.

Based on the given information, we can express the following

Where x is miles, and y is the cost.

The 2 x 3 matrix of probabilities p(x = 1, Y = j) is:

p(x = 1, Y = 1) = 0.2

p(x = 1, Y = 2) = 0.2

p(x = 1, Y = 3) = 0.1

To determine the probabilities p(x = 1, Y = j), we need to consider the probabilities associated with X and Y. We are given that X can take on values 1 and 2 with probabilities 0.5 and 0.5, respectively, while Y can take on values 1, 2, and 3 with probabilities 0.4, 0.4, and 0.2, respectively. It is also mentioned that X and Y are independent.

The probability of X = 1 and Y = 1 is the product of their individual probabilities:

p(X = 1, Y = 1) = p(X = 1) * p(Y = 1) = 0.5 * 0.4 = 0.2

Similarly, the probability of X = 1 and Y = 2 is:

p(X = 1, Y = 2) = p(X = 1) * p(Y = 2) = 0.5 * 0.4 = 0.2

The probability of X = 1 and Y = 3 is:

p(X = 1, Y = 3) = p(X = 1) * p(Y = 3) = 0.5 * 0.2 = 0.1

For X = 2, since it is independent of Y, the probabilities p(X = 2, Y = j) will all be 0.

Combining these probabilities, we can construct the 2 x 3 matrix as shown in the main answer.

Learn more about probabilities

brainly.com/question/12905909

#SPJ11

Answer:

Yes, it is possible for a dataset to have more than one mode.

Step-by-step explanation:

In statistics, a mode refers to the value or values that occur most frequently in a dataset. If there are multiple values that have the same highest frequency and occur more frequently than any other value in the dataset, then the dataset is said to have multiple modes.

There are different types of distributions that can exhibit multiple modes. Here are a few examples:

Bimodal Distribution: A bimodal distribution has two distinct modes, meaning it has two peaks or high-frequency regions. This indicates that there are two different groups or subpopulations within the dataset, each with its own characteristic values. For example, if you have a dataset of heights that includes both adults and children, you may observe two modes corresponding to the adult and child heights.

Multimodal Distribution: A multimodal distribution has more than two modes, meaning it has multiple peaks or high-frequency regions. This suggests the presence of multiple subgroups or distinct characteristics within the dataset. For instance, if you have a dataset of exam scores for a class where some students performed well, some performed moderately, and some performed poorly, you might observe three modes corresponding to these groups.

No Mode: It is also possible for a dataset to have no mode, which occurs when no value appears more frequently than others. This can happen in datasets with uniform or random distributions, where all values have equal frequency.

It's important to note that not all datasets will have a mode or multiple modes. Some datasets may have a single mode where one value occurs with the highest frequency, while others may have no discernible mode if the values are evenly distributed or there is no repetitive pattern in the data.In summary, a dataset can have one mode, multiple modes, or no mode depending on the frequency distribution of its values. The presence of multiple modes indicates the existence of distinct groups or subpopulations within the data.

Learn more about dataset here, https://brainly.com/question/518894

#SPJ11

Answer:

- 22.5

Step-by-step explanation:

Substitute x = 3 into f(x) and x = 16 into h(x) , then

\(\frac{1}{2}\) g(3) - h(16)

= \(\frac{1}{2}\) × - 3(3)² - (2\(\sqrt{16}\) + 1)

= \(\frac{1}{2}\) × - 3(9) - (2(4) + 1)

= \(\frac{1}{2}\) × - 27 - (8 + 1)

= - 13.5 - 9

= - 22.5

The table that shows the probability distribution when one card from each stack is drawn is Table 3.

There are a total of 4 × 5 = 20 possible outcomes when one card is drawn from each stack. We can list all the possible outcomes:

Blue-blue

Blue-purple

Blue-green

Blue-purple

Blue-orange

Green-blue

Green-purple

Green-green

Green-purple

Green-orange

Red-blue

Red-purple

Red-green

Red-purple

Red-orange

Orange-blue

Orange-purple

Orange-green

Orange-purple

Orange-orange

Out of these 20 outcomes, there are 4 outcomes where the two cards match in color (blue-blue, green-green, purple-purple, and orange-orange).

Therefore, the probability distribution when one card from each stack is drawn is:

P(matching color) = 4/20

P(different colors) = 16/20

Learn more about probability distribution at: https://brainly.com/question/28021875

#SPJ1

Answer:

Step-by-step explanation:

Use a grid to show the sample space.

              blue  green red orange

blue   BB BG BR BO

purple PB PG PR PO

green GB GG GR GO

purple PB PG PR PO

orange OB OG OR 00

There are 20 possible outcomes. The probability of each color combination is the number of times that combination occurs in the grid divided by 20. Find the probability of each combination and list the probabilities in a table to show the probability distribution.

outcome   BB BG BR BO PB PG PR PO GG GR GO OR OO

probability 1 1 1 1 1 1 1 1 1 1 1 1 1

                 20 10 20 10 10 10 10 10 20 20 10 20 20

Answer:

P(2): 1/5

P(4): 1/5

P(odd number): 3/5

P(whole number): 5/5

P(6): 0/5

P(2 or 3): 2/5

Step-by-step explanation:

There are 5 equal sections in this circle. So, the probability to land in each section is 1/5.

The odd numbers are 1, 3, and 5. Since each section is 1/5, you add

1/5 + 1/5 + 1/5 = 3/5. That is the probability that you will land in any odd number.

Because all the numbers listed are whole numbers, no matter where the spinner lands it will be a whole number. So, the probability is 5/5 for whole numbers.

Since 6 is not a section, it's probability will be 0/5 (or you can just put 0).

"Or" means you add the two probabilities. Add the probability of landing on 3 (which is 1/5) to the probability of landing on 2 (which is also 1/5). So, you get 2/5.

Answer:

17. 1/5

18. 1/5

19. 3/5

20. 1

21. 2/5

Answer: 39.34

Step-by-step explanation:

Yes, it is likely that a random sample mean could deviate that much from a population mean.

To test whether the sample mean of 112 is significantly different from the population mean of 113.5, we can use a one-sample t-test. With 12 degrees of freedom (n-1), the critical value for a two-tailed test at a 5% significance level is ±2.179.

Using the formula t = (\(\bar{X}\) - μ) / (s / √n), where \(\bar{X}\) is the sample mean, μ is the population mean, s is the standard deviation, and n is the sample size, we get: t = (112 - 113.5) / (15 / √13) = -1.01

Since |-1.01| < 2.179, we fail to reject the null hypothesis that the sample mean is not significantly different from the population mean. Therefore, it is likely that this sample could be a random sample from a population with a mean of 113.5.

To know more about random sample mean, refer here:

https://brainly.com/question/24208137#

#SPJ11

Answer:

£18

Step-by-step explanation:

The VAT (Value Added Tax) is calculated as a percentage of the original price, so we need to add 20% of the original price to get the total price including VAT.

To find out how much Amir pays for the jumper including VAT, we first need to calculate the VAT:

VAT = 20% of £15

= (20/100) x £15

= £3

So, the VAT on the jumper is £3.

To find out the total price Amir pays for the jumper including VAT, we need to add the VAT to the original price:

Total price = Original price + VAT

= £15 + £3

= £18

Therefore, Amir pays £18 for the jumper including VAT.

Answer:

£4.05

Step-by-step explanation:

1kg of potatoes= 8.10 divided by 2=£4.05

The measure of reliability of a statistical inference is the significance level. The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. It determines the threshold for accepting or rejecting a hypothesis.

A lower significance level indicates a higher level of confidence in the results. A descriptive statistic provides information about the data, but it does not directly measure the reliability of a statistical inference. It simply summarizes and describes the characteristics of the data.

A sample statistic is a numerical value calculated from a sample, such as the mean or standard deviation. While it can be used to make inferences about the population, it does not measure the reliability of those inferences.
A population parameter is a numerical value that describes a population, such as the population mean or proportion.

While it provides information about the population, it does not measure the reliability of inferences made from a sample. In conclusion, the significance level is the measure of reliability in a statistical inference as it determines the probability of making a Type I error, which is rejecting the null hypothesis when it is actually true.

To know more about Hypothesis visit.

https://brainly.com/question/32562440

#SPJ11

Step-by-step explanation:

From the image, let Angle 1 be x, and angle 2 be 16°

\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)

We can infer that the set of vectors represented by (-1, 2), (8, 4) is orthogonal in Rⁿ since their dot product is equal to zero.

We must determine whether the dot product of any two vectors in the set is equal to zero in order to demonstrate the orthogonality of the set of vectors in Rⁿ.

Let's determine the dot product of the vectors provided:

(-1, 2) ⋅ (8, 4) = (-1)(8) + (2)(4)

(-1, 2) ⋅ (8, 4) = -8 + 8

(-1, 2) ⋅ (8, 4) = 0

We can infer that the set of vectors (-1, 2), (8, 4) is orthogonal in Rⁿ because the dot product of (-1, 2) and (8, 4) equals zero.

To learn more about dot product link is here

brainly.com/question/23477017

#SPJ4

Answer:

95 degrees

Step-by-step explanation:

vertical opposite angles

Answer:

(a) \(x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}\)

(b) \(x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}\)

Step-by-step explanation:

It is given that \(0\leq x\leq 2\pi\).

(a)

\(\sqrt{2}\sin 2x=1\)

\(\sin 2x=\dfrac{1}{\sqrt{2}}\)

\(\sin 2x=\dfrac{\pi}{4}\)

\(2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}\)     \([\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]\)

\(x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}\)

(b)

\(\csc^2 x-\csc x-2=0\)

\(\csc^2 x-2\csc x+\csc x-2=0\)

\(\csc x(\csc x-2)+1(\csc x-2)=0\)

\((\csc x+1)(\csc x-2)=0\)

\(\csc x=-1\text{ or }\csc x=2\)

\(\sin x=-1\text{ or }\sin x=\dfrac{1}{2}\)         \([\because \sin x=\dfrac{1}{\csc x}]\)

\(x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}\)

Therefore, \(x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}\).

\(\it L_{arc}=\dfrac{2\pi R\cdot angle}{360^o}=\dfrac{2\pi\cdot10\cdot126^o}{360^o}=\dfrac{2520^o}{360^o}\cdot \pi=7\pi\approx7\cdot3,14 \Rightarrow\\ \\ \\ \Rightarrow\ L_{arc}\approx21,98\ cm\approx22\ cm\)

The equation of a circle centered at the origin with a radius of 12, which is x² + y² = 144.

To find the equation of the circle, we use the standard form of the equation of a circle, which is:

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the center of the circle, and r is the radius.

In our problem, the center of the circle is at the origin, which means h = 0 and k = 0. The radius is given as 12, so we have r = 12. Substituting these values into the standard form equation, we get:

(x - 0)² + (y - 0)² = 12²

Simplifying, we get:

x² + y² = 144

Therefore, the equation of the circle centered at the origin with a radius of 12 is x² + y² = 144.

To know more about equation here

https://brainly.com/question/10413253

#SPJ4

Answer:

19.8km (to 3 s.f.)

Step-by-step explanation:

circumference= 39.5km

circumference= 2 × radius

radius= 39.5÷2

= 19.75km

= 19.8km (to 3 s.f.)

Answer:

8x-17+63+3x+2=180(sum of triangle )

Step-by-step explanation:

11x-48=180

11x=180+48

11x=228

X=228÷11

X=20.72

Answer:

x=12

Step-by-step explanation:

The angles of a triangle add up to 180

63+8x-17+3x+2=180

46+2+8x+3x=180

48+11x=180

11x=132

x=12

The cube of the number five is written in these following forms:

The cube of a number n is equivalent to multiplying the number n by itself three times.

Hence, in expanded form, the cube of a number n is written as follows:

n x n x n.

In exponential form, the cube of a number n is written as follows:

n³.

In this problem, the number of interest is the number five, hence:

The result of the expression, which is the evaluation, is given by:

5 x 5 x 5 = 25 x 5 = 125.

More can be learned about the cube of a number at https://brainly.com/question/26828925

#SPJ1

D and E are the only reasonable directions of causality in light of the variables. In A and B, the causality is not reasonable because the test scores would have been determined when study time was recorded.

In order to store and transmit data effectively, it must be organised and formatted properly. This is referred to as data representation. Data may be portrayed in a variety of forms, including text, statistics, graphics, audio, and video. In the subject of computer science, data representation is essential because it enables computers to process, store, and send information.The main application of data drives the choice of a specific data format. As an illustration, text data may be represented using ASCII or Unicode character sets, whereas numerical data can be represented using binary or decimal notation.This is a reasonable direction of causality, as students may focus more on subjects they prefer.

To learn more about data representation, visit:

https://brainly.com/question/28901244

#SPJ4

Answer:

(x-3) (x-2)

Step-by-step explanation:

\(x^{2}\) - 5x + 6

How to break down the equation and factorise it:

-3 x -2 = 6

-3 + -2 = -5

Final Answer:

(x-3) (x-2)

Answer:

(47,16)

Step-by-step explanation:

System of Equations Problem.

Solve v(7)+b(6)=394;v(3)+b(12)=612

Solve 6b+7v=394 for b

Add -7v to both sides.

6b+7v+−7v=394+−7v

6b=−7v+394

Divide both sides by 6.

\(b=\frac{-7}{6} v+\frac{197}{3}\)

Substitute \(b=\frac{-7}{6} v+\frac{197}{3}\) for b in 12b+3v=612

12b+3v=612

\(12(\frac{-7}{6} v+\frac{197}{3} )+3v=612\)

Simplify both sides of the equation.

−11v+788=612

Add -788 to both sides.

−11v+788+−788=612+−788

−11v=−176

\(\frac{-11v}{-11} =\frac{-176}{-11}\)

v=16

Substitute 16 for v in \(b=\frac{-7}{6} v+\frac{197}{3}\)

\(b=\frac{-7}{6} v+\frac{197}{3}\)

\(b=\frac{-7}{6}(16)+\frac{197}{3}\)

Simplify both sides of the equation.

b=47

Answer:

b=47 and v=16

Answer: 120 copies

Step-by-step explanation:

Takes 480 divided by 4 = 120 copies per minute