HELP PLEASE THANKS!!!!!

Question wasn't clear, but I hope this helps!

Lemon Squash                  If you put 90ml of concentrate in a glass, how

2 parts concentrate          water should be added?

to 5 parts water                 x  ml.

Ratio:  2:5 or 2/5

Now, if this ratio is maintained then the amount of water to be added to 90 ml concentrate in a glass can be calculated as:

2/5 = 90/x ( x = the unit (ml)/ how many ml of water)

Cross multiplication of the above equation will give us:

2x = 90 x 5 = 450

Dividing both sides by 2 we will get:

x = 450/2 = 225

Therefore, if we put 90ml of concentrate in a glass, the amont of water to be added is 225ml.

I hope this answer helps!

Yours Faithfully,

Damian. / Bright_SCR.

a)  The probability that there will be exactly four droughts in the region over the next decade is approximately 0.193.

b) The probability that it will be a severe drought given that exactly one drought actually occurred in 2 years is approximately 0.164.

c)  The probability that all three droughts that actually occurred in 5 years will be moderate is 0.016.

To determine the probability of there being exactly four droughts in the region over the next decade, the expected value of droughts over a decade must first be calculated. λ, the expected number of droughts over a period, can be calculated using the formula:λ = (number of droughts in the last 60 years)/(60 years)λ = (6+16)/(60)λ = 0.367

Therefore, the expected number of droughts in the region over the next decade is 0.367 x 10 = 3.67.Using the Poisson distribution formula, the probability of there being exactly four droughts in the region over the next decade can be calculated as:P(4) = (e^-3.67)(3.67^4)/(4!)P(4) ≈ 0.193

Therefore, the probability that there will be exactly four droughts in the region over the next decade is approximately 0.193.

Assuming that exactly one drought actually occurred in 2 years, the probability that it will be a severe drought can be calculated using Bayes' theorem:P(severe | 1) = P(1 | severe)P(severe) / P(1)First, P(1) must be calculated:P(1) = P(1 | severe)P(severe) + P(1 | moderate)P(moderate)P(1 | severe) = e^-λ(λ^1) / 1! = e^-0.367(0.367^1) / 1! ≈ 0.312P(1 | moderate) = e^-λ(λ^1) / 1! = e^-0.367(0.367^1) / 1! ≈ 0.592P(moderate) = 16 / 60 = 0.267P(severe) = 6 / 60 = 0.1P(1) ≈ 0.312(0.1) + 0.592(0.267) ≈ 0.279Next, P(severe | 1) can be calculated:P(severe | 1) = P(1 | severe)P(severe) / P(1)P(severe | 1) ≈ (0.312)(0.1) / 0.279 ≈ 0.164

Therefore, the probability that it will be a severe drought given that exactly one drought actually occurred in 2 years is approximately 0.164.

Assuming that exactly three droughts actually occurred in 5 years, the probability that all will be moderate droughts can be calculated using the binomial distribution formula:P(3 moderate) = (n choose k)(p^k)(1-p)^(n-k)where n = 3, k = 3, and p = 16 / 60 = 0.267(n choose k) = (n! / k!(n-k)!) = (3! / 3!(3-3)!) = 1P(3 moderate) = (1)(0.267^3)(1-0.267)^(3-3) = 0.016

Therefore, the probability that all three droughts that actually occurred in 5 years will be moderate is 0.016.

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Answer:

The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:

Area of a semicircle = 21​πr2, where r is the radius of the circle.

Area of a trapezoid = 21​(b1​+b2​)h, where b1​ and b2​ are the bases and h is the height of the trapezoid.

Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.

Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.

Step-by-step explanation:

The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The given figure can be decomposed into the following figure.

- Semicircle

- Trapezoid

- Two rectangles

Thus,

A semicircle, a trapezoid, and two rectangles.

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The last option "As the number of files increases, the storage space used increases" best describes the relationship between storage space and number of music files based on the table provided.

In mathematics, an equation is a statement that indicates the equality of two mathematical expressions. An equation contains an equal sign (=) between two expressions, which means that the expressions on both sides of the equal sign have the same value. An equation can have one or more variables, which are typically represented by letters, such as x, y, or z. The values of these variables that satisfy the equation are called the solutions or roots of the equation. Equations are used in a wide range of mathematical fields, including algebra, calculus, geometry, and physics. They are used to model various real-world phenomena and to solve mathematical problems.

Here,

As we move down the table, we can see that the number of files is increasing while the storage space is also increasing. For example, when there are 10 music files, the space used is 15 megabytes. When the number of files is doubled to 20, the space used also doubles to 30 megabytes. This pattern continues for each row in the table.

Therefore, we can conclude that there is a direct relationship between the number of music files and the amount of storage space used.

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Answer:

"As the number of files increases, the storage space used increases"

Answer:

Step-by-step explanation:

the answer is c

Answer:

D.3,67m/s

Step-by-step explanation:

a. The mean is -0.6, the median is 4, and there is no mode in the data set.

b. The range is 15, the variance is 35.2, the standard deviation is approximately 5.93, and the coefficient of variation is approximately -0.988.

c. The Z-scores for the data set are -0.68, -1.69, -0.68, -0.68, and 1.37. There are no outliers as none of the Z-scores exceed the threshold of ±3.

d. The shape of the data set is skewed to the left, indicating a negative skewness.

a. To calculate the mean, we sum up all the values and divide by the sample size:

Mean = (4 - 9 - 4 + 4 + 6) / 5 = -0.6

The median is the middle value when the data is arranged in ascending order:

Median = 4

The mode is the value that appears most frequently, but in this data set, none of the values are repeated, so there is no mode.

b. The range is calculated by finding the difference between the maximum and minimum values:

Range = Maximum value - Minimum value = 6 - (-9) = 15

The variance measures the average squared deviation from the mean:

Variance = ((4 - (-0.6))^2 + (-9 - (-0.6))^2 + (-4 - (-0.6))^2 + (4 - (-0.6))^2 + (6 - (-0.6))^2) / (5 - 1) = 35.2

The standard deviation is the square root of the variance:

Standard Deviation ≈ √35.2 ≈ 5.93

The coefficient of variation is the standard deviation divided by the mean, expressed as a percentage:

Coefficient of Variation ≈ (5.93 / 0.6) × 100 ≈ -0.988

c. The Z-score measures how many standard deviations a data point is away from the mean. To calculate the Z-scores, we subtract the mean from each data point and divide by the standard deviation:

Z1 = (4 - (-0.6)) / 5.93 ≈ -0.68

Z2 = (-9 - (-0.6)) / 5.93 ≈ -1.69

Z3 = (-4 - (-0.6)) / 5.93 ≈ -0.68

Z4 = (4 - (-0.6)) / 5.93 ≈ -0.68

Z5 = (6 - (-0.6)) / 5.93 ≈ 1.37

Since none of the Z-scores exceed the threshold of ±3, there are no outliers in the data set.

d. The shape of the data set can be determined by analyzing the skewness. A negative skewness indicates that the data is skewed to the left, which means that the tail of the distribution extends towards the lower values. In this case, the negative skewness suggests that the data set is skewed to the left.

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Thus, the general solution of the given differential equation `2y′ y = 5t²` is `y = Ke^(5t³/6)` where `K` is a constant of integration.

The general solution of the given differential equation `2y′ y = 5t²` and using it to determine how solutions behave as t is discussed below:Solving the differential equation:

Separating the variables of the differential equation `2y′ y = 5t²` we get:dy/y = (5/2)t² dtIntegrating both sides, we have:ln|y| = (5/6) t³ + C1

Taking the exponential of both sides, we get:y = Ke^(5t³/6) , where K = ± e^(C1) is a constant of integration.

The general solution of the given differential equation is given by `y = Ke^(5t³/6)` where `K` is a constant of integration.

How solutions behave as `t`:When `t → ∞` (i.e., as t grows large), `e^(5t³/6) → ∞`. So solutions of the given differential equation `y′ y = 5t²` grow exponentially as `t → ∞`.

When `t → -∞` (i.e., as t gets very negative), `e^(5t³/6) → 0`. So solutions of the given differential equation `y′ y = 5t²` approach `y = 0` as `t → -∞`.

Thus, the general solution of the given differential equation `2y′ y = 5t²` is `y = Ke^(5t³/6)` where `K` is a constant of integration.

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Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Answer:

If your asking its place value its Thousandths

Step-by-step explanation:

.1 is tenths

.01 is hundredths

.001 is thousandths

Answer:

\(\boxed{\textsf{ The required answer is \textbf{130}.}}\)

Step-by-step explanation:

Let us take that number be x whose 10% is 13. So According to Question 10% of x is 13. This implies ,

☯️ \(\underline{\underline{\boldsymbol{According\ to\ the\ Question :-}}}\)

\(\sf\implies 10\% \ of \ x = 13 \\\\\sf\implies \dfrac{10}{100}\times x = 13 \\\\\sf\implies x =\dfrac{13\times 100}{10} \\\\\sf\implies\boxed{\pink{\frak{ x = 130 }}}\)

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\(f(x) = x + 7\)

\(h(x) = - 2x + 1\)

Add them up :

\(f(x) + h(x) = x + 7 - 2x + 1 \\ \)

Collect like terms

\(f(x) + h(x) = - x + 8\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The continuous proportional change in y when years of service increases from three years to five years is:Δy/y = (y_5 - y_3) / y_3= e^(ln(y_5) - ln(y_3)) / y_3= e^(-0.2Δt) = e^(-0.2*2)= e^(-0.4)≈ 0.6703The proportional change in y when years of service increases from three years to five years is approximately 0.6703.

A. Using non-linear equation (1), we are to calculate the market value y after three years of service (t=3) and after five years of service. Further, calculate the simple (discrete) proportional change in y when the vehicles go from three years of service to five years of service (i.e., the market value with three years of service is the base for the calculation).Given equation is y = 40e^(-0.025-0.2t)Where t = 3, the market value y is:y = 40e^(-0.025-0.2(3))= 40e^(-0.625)= 22.13 thousand dollarsWhere t = 5, the market value y is:y = 40e^(-0.025-0.2(5))= 40e^(-1.025)= 14.09 thousand dollarsSo, the discrete proportional change in y when the vehicles go from three years of service to five years of service is:proportional change in y = (y_5 - y_3) / y_3 * 100%= (14.09 - 22.13) / 22.13 * 100%= -36.28%B. We need to apply the natural log transformation to equation (1).

Therefore, we take the natural log of both sides of the equation.y = 40e^(-0.025-0.2t)ln(y) = ln(40e^(-0.025-0.2t))= ln(40) + ln(e^(-0.025-0.2t))= ln(40) - 0.025 - 0.2tSo, we get the transformed equation as:ln(y) = -0.025 - 0.2t + ln(40)Now, let's take the derivative of both sides of this transformed equation, with respect to t. We get:1 / y * dy/dt = -0.2This equation doesn't exhibit constant marginal effect because dy/dt depends on y. Therefore, we can't say that a one unit increase in x would always lead to the same proportional change in y.C. (i) Use the slope term from your transformed equation from part B to directly calculate the continuous proportional change in y when years of service increases from three years to five years. Given transformed equation is:ln(y) = -0.025 - 0.2t + ln(40)When years of service increases from three years to five years, then change in t is:Δt = 5 - 3 = 2

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The stationary point of the function u(x, y) = x² + y² - 4xy + 1 is (0, 0).

To find the stationary points of the function u(x, y) = x² + y² - 4xy + 1, we need to find the values of x and y where the partial derivatives with respect to x and y are both equal to zero.

Let's start by finding the partial derivative of u with respect to x:

∂u/∂x = 2x - 4y.

Now, let's find the partial derivative of u with respect to y:

∂u/∂y = 2y - 4x.

To find the stationary points, we set both partial derivatives equal to zero:

2x - 4y = 0, and

2y - 4x = 0.

Simplifying these equations, we have:

x - 2y = 0, and

y - 2x = 0.

We can solve this system of equations using any method. Let's use the substitution method here.

From the first equation, we can express x in terms of y as x = 2y. Substituting this into the second equation, we have y - 2(2y) = 0. Simplifying, we get y - 4y = 0, which gives us -3y = 0. Therefore, y = 0.

Substituting this value of y back into x = 2y, we find x = 2(0) = 0.

Hence, the stationary point of the function u(x, y) = x² + y² - 4xy + 1 is (0, 0).

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The solution to the equation 3e^(2x) + 5 = 27 is x = 1.36.

To solve the equation 3e^(2x) + 5 = 27 using natural logarithms, we can follow these steps:

Step 1: Subtract 5 from both sides of the equation:
3e^(2x) = 22

Step 2: Divide both sides of the equation by 3:
e^(2x) = 22/3

Step 3: Take the natural logarithm (ln) of both sides of the equation:
ln(e^(2x)) = ln(22/3)

Step 4: Apply the property of logarithms that states ln(e^a) = a:
2x = ln(22/3)

Step 5: Divide both sides of the equation by 2:
x = ln(22/3)/2

Using a calculator, we can evaluate ln(22/3) to be approximately 2.72.

Therefore, x = 2.72/2 = 1.36.

So, the solution to the equation 3e^(2x) + 5 = 27 is x = 1.36.

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The range is the difference between the longest hike and the shortest hike.

Longest = 5

Shortest = 1

Range = 5-1 = 4 miles

A person heart beats is 4.2 x 10∧7

there are 7,600,000,000= 7.6 x 10∧9

the heartbeats for all the people here on earth= 4.2 x 10∧7 x 7.6 x 10∧9

choosing like terms

4.2 ×7.6×10∧7×10∧9

31.92x10∧(7+9)

31.92×10∧16

a=31.92

b=16

Answer:

\(3.192*10^1^7\)

Step-by-step explanation:

To find this value, multiply the two values given:

4.2x10^7 = 4.2 x ( 10 x 10 x 10 x 10 x 10 x 10 x 10) = 42000000

42000000 x 7600000000 = 319200000000000000

Then convert 319200000000000000 into scientific notation:

319200000000000000 = 3.19200000000000000

Cut off all the zeroes and I moved the decimal 17 places to the left, so the exponent will be positive:

\(3.192*10^1^7\)

Answer:

The answer is "Options A, B, and E represent mutually exclusive events".

Step-by-step explanation:

Two occurrences that can happen immediately called mutually incompatible. Let's now glance at our options and figure out where the statements are mutually incompatible events.

In Option A: You could see that landing on an unwanted portion and arriving on 2 are events that are locally incompatible, even as undesirable portion contains 3 and 4, and 2 were shaded.

In Option B: Arriving on a shaded part and falling on 3 are also mutually incompatible because there are 3 on a windows azure.

In Option C: A darkened portion and an increasing amount can land while 2 would be an even number as well as on the shaded portion. That number is very much the same.

In Option D: At the same time as 4 is greater than 3 and it is situated upon an undistressed section, landing and attracting a number larger than 3 can happen.

In Option E: Landing on a shaded part and landing on even a shaded part is an excluding event, since shaders may either be shaded or unlit.

Answer:

first, second and fifth

Step-by-step explanation:

edge 2021

Answer:

243.375

Step-by-step explanation:

8.25 times 29.5 hours equals 243.375 (not rounding to nearest cent

Answer:

1⁷/15

Step-by-step explanation:

2¾(3⅜-1½)

using the rule of BODMAS

change the fractions in the bracket into improper fraction

2¾(27/8-3/2)

find LCM of the fractions in the bracket

2¾(27-12)/8

2¾(15/8)

convert the other mixed fraction to an improper fraction

11/8(15/8)= 5.15625~ 5.2

Dilation centred at origin

So new coordinates are same like previous

Now scale factor is 3

So P':-

Option D

Answer:

D)   (−6, −12)

Step-by-step explanation:

Dilation:  A type of transformation that makes the pre-image larger or smaller without changing its shape.

Center of a dilation:  a fixed point about which all points are dilated.

When the center of dilation is the origin (0, 0), simply multiply the coordinates of the points of the pre-image by the scale factor to determine the points of the image after dilation.

Given:

Therefore:

⇒ P' = (-2 × 3, -4 × 3)

⇒ P' = (-6, -12)

Answer:

I have answered. it is perfect answer

Answer:

First you make 3/10=0.3 the 1/3=0.33 then 0.3+0.33=0.63

Answer:

Y-intercept

Step-by-step explanation:

The y-intercept is the part of the line that crosses the y-axis.

The red dot (where the arrow is pointing to) is the y intercept

Answer:

I am here to to steal ya points

Step-by-step explanation:

A one-to-one function is a function of which the answers never repeat.

like this one

f(x) = x + 1 is a one-to-one function because it gives different value for different input

No way you don't understand this

<3

Answer: Final elevation of butterfly = 4m

Final elevation for diver = -11m

Final elevation for whale= 2m

Final elevation for fish = -20m

Step-by-step explanation:

Final elevation= Initial poistion + Change.

A butterfly starts at 20 m and changes -16 m.

Final elevation = 20m +(-16m)

= 20-16 m   [(-)(+)=(-)]

= 4m

A diver starts at 5 m and changes -16 m.

Final elevation = 5m + (-16) m

= 5m- 16 m  [(-)(+)=(-)]

= -11 m

A whale starts at -9 m and changes 11 m.

Final elevation = (-9m)+11m

= 11m- 9m   [-a+b=b-a]

= 2m

A fish starts at -9 meters and changes -11 meters

Final elevation = -9+(-11) m

= (-9-11) m     [(-)(+)=(-)]

=-(9+11)  m   [-a-b=-(a+b)]

=-20m

Hence, Final elevation of butterfly = 4m

Final elevation for diver = -11m

Final elevation for whale= 2m

Final elevation for fish = -20m

The velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

The velocity of the cylinder when it reaches the bottom of the incline can be calculated using the principle of conservation of energy. The velocity of the cylinder is given by the formula v = sqrt(2gh/(1+I/(mr^2))), where g is the acceleration due to gravity, h is the height of the incline, and I is the moment of inertia of the cylinder.

In this case, the cylinder is released from rest at a height h on an incline without slipping, which means that all the potential energy at the top of the incline is converted to kinetic energy at the bottom of the incline. Therefore, we can write:

1/2 mv^2 = mgh

where v is the velocity of the cylinder at the bottom of the incline.

The moment of inertia of the cylinder is given as 1/2mr^2. Substituting this into the formula for v and simplifying, we get:

v = sqrt(2gh/(1+1/2)) = sqrt(4gh/3)

Therefore, the velocity of the cylinder when it reaches the bottom of the incline is v = sqrt(4gh/3).

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C. When there is no outlier, the mean is the appropriate measure of center.

When there are no outliers in a dataset, the mean is a good measure of center because it takes into account the values of all the data points. The median is also a good measure of center, but it may not be the best choice if there are extreme values or outliers in the dataset, as it can be influenced by those values. However, when there are no outliers, both the mean and the median are appropriate measures of center.

Option A is not true because the mean is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and it can be affected by outliers, but not by the absence of outliers.

Option B is not true because the median is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and the median is not affected by the shape of the distribution, but by the position of the values.

Option D is not true because the median can be used as the measure of center even when there is no outlier. It is a robust measure of center that is not influenced by extreme values.

Answer:

She will get $6.90

Step-by-step explanation:

5 × 1.42 = 7.10

15 ÷ 3 = 5

5 × 1.20 = 6.00

7.10 + 6.00 = 13.10

20.00 - 13.10 = 6.90

Answer: The real answer is - ask 10 students wearing football jerseys each day for a week

Step-by-step explanation: Think about it, chances are that all students they ask that are wearing a football jersey are most likely to favor football. So if you only ask people with a football jersey on, you will not get an accurate answer to represent the entire high school. You should ask people randomly instead of targeting a specific group.