Help please I don’t know how to do it

Given data:

The first length given is YZ =76.

The second length given is JK =12.

The third length given is XY=68.

The JL length is,

The XZ length is,

The LZ length is,

Thus, JL=38, XZ=24, and LZ=12.

Total 10⁶, 7 digit telephone numbers can be formed from the digits 0,1,2,...,9,  where each telephone number begins with digit 2.

If the first digit cannot be 0 and repeating digits are not allowed, we need to determine how many different ways seven-digit phone numbers may be created. We can start by counting from 0 to 9.

We know that the first digit shouldn't be zero, so we will have 9 ways, from 1 to 9, the second digit will include the zero, and we will still have 8 from the first digit, so we will have 9 ways. In a similar manner, we may keep going and multiply the ways to find the total number of ways.

Use the digits 0 to 9 to create 7-digit numbers. The initial digit is always fixed at 2. Any of the 10 numbers can be used for the remaining 6 digits.

Total number of ways = 10 × 10 × 10 × 10 × 10 × 10

Total number of ways = 10⁶

Hence, the answer is 10⁶.

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The complete question is:

How many 7 digit telephone numbers can be formed from the digits 0,1,2,...,9,  where each telephone number begins with digit 2?

A scaled score is a standard score that has been transformed into a specific scale. In this case, the scaled score is 583 on the HMH scale.

The quantile interval is the range of scores within which a particular score falls. In this case, the quantile interval is 835q to 985q, which means that the score of 583 falls within this range. This information may be used to compare a student's performance to a certain benchmark or to other students who have taken the same test.

A quantile interval is a range of values within a distribution of scores. In this case, the quantile interval for a score of 583 is 835q to 985q, which means that the score falls within the range of the 835th to 985th quantiles of the distribution. The quantile interval provides information about the relative standing of a score within the distribution, with lower quantile intervals indicating scores that are closer to the minimum of the distribution and higher quantile intervals indicating scores that are closer to the maximum of the distribution.

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Answer:

(x) + (2x) + (x - 1) + (2x) + (2x - 3) = 76 unit

Step-by-step explanation:

Answer:

The number of pounds of apples she bought = 10 pounds

The number of pounds of tomatoes she bought = 10 pounds

The number of pounds of the farmers cheese she bought = 5 pounds

The number of pounds of peaches she bought = 6 pounds

Answer:

x = 6

Step-by-step explanation:

Move all the terms that do not contain the variable x to the right side and solve

Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

yes, the periodic interest rate for a loan with an annual interest rate of 15.98% compounded weekly is 0.3073%

The yearly interest rate is divided by the quantity of compounding periods to produce the periodic interest rate. Interest can be earned on or added to interest more frequently when there are more compounding periods.

The interest rate that is levied on a periodic basis, such as monthly or quarterly, is known as the periodic rate. A credit card with an annual percentage rate of 18% has a periodic rate of 1.5 percent per month. The periodic rate is calculated by multiplying it by the number of periods in a year.

according to the formula :

periodic interest rate is annual interest rate divided by the number of times per year interest compounds so,

we have;

Annual interest rate = 15.98%

no.of week in a year= 52

so ;

periodic interest rate=15.98%/52

=0.3073%,

so the given statement is true.

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Answer:

\(\frac{9}{16}\)

Step-by-step explanation:

\((\frac{1}{2} )^2+2*\frac{1}{2}*\frac{1}{4}+(\frac{1}{4})^2\)

\(\frac{1}{4}+1*\frac{1}{4}+\frac{1}{16}\)

\(\frac{1}{4}+\frac{1}{4}+\frac{1}{16}\)

\(\frac{2}{4}+\frac{1}{16}\)

\(\frac{8}{16}+\frac{1}{16}\)

\(\frac{9}{16}\)

Hope this helps!

Answer:

The simplest form is 3/11

Step-by-step explanation:

6/22 divided by 2 =3/11

Answer:

The answer for M should be 28 because 28 plus 4 is 32 and if you take 5 away from it it will be 27 so M equals 28 ( I hope this helps. )

It is true that we use a bode plot to show filter characteristics because the use of logarithms creates plots that can be approximated with straight lines.

We use a bode plot to display the frequency response of a filter. The frequency response of a filter is a complex function, and its plot can be difficult to analyze. However, by using logarithmic scales on the frequency and amplitude axes, we can transform the complex function into a simpler form that can be approximated with straight lines. This simplification is particularly useful because it allows us to easily identify the characteristics of the filter, such as its cutoff frequency, bandwidth, and phase shift. Therefore, the use of logarithmic scales is essential in creating a bode plot, and it is why we use this type of plot to show filter characteristics.

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The number of unique orders that Gabriel can arrange for the new flavors of his favourite snak is 6..

The term permutation refers to the mathematical calculation of the number of ways a given set can be arranged. Simply put, permutation is a word that describes the number of ways things can be ordered or arranged. With permutations, the order of placement is important.

P(n,r) = n!/(n-r)!

where n --> total items in the set;

r --> items taken for the permutation;

"!" --> denotes taking the factorial

We have given that,

total possible flavours of Gabriel's favorite snack = 3

He wants to try each of the new flavors one after the other.

We have to calculate the number of ways Gabriel can arrange the new flavors .

For this Use the permutation formula,

ⁿPᵣ = n!/(n-r)!

here , n = 3 , r = 3 then,

P (3,3) = 3!/(3 − 3)!

= 3!/0!

As we know that 0! = 1 so, P(3,3) = 3!

= 3×2×1 (because n! = n(n-1)(n-2)---3.2.1 )

= 6

There are 6 unique orders in which Gabriel can arrange the new flavors.

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Answer: x = -5

Step-by-step explanation:

4−2(x+7)=3(x+5)4-2(x+7)=3(x+5)Simplify 4−2(x+7)4-2(x+7).Tap for more steps...−2x−10=3(x+5)-2x-10=3(x+5)Simplify 3(x+5)3(x+5).Tap for more steps...−2x−10=3x+15-2x-10=3x+15Move all terms containing xx to the left side of the equation.Tap for more steps...−5x−10=15-5x-10=15Move all terms not containing xx to the right side of the equation.Tap for more steps...−5x=25-5x=25Divide each term in −5x=25-5x=25 by −5-5 and simplify.Tap for more steps...x = −5

Answer:

n= 1

x= 2

Step-by-step explanation:

the equations are 2n - x = -1

                              2x + 3n = 9

The solution to this system of linear equations y - x = 6 and y + x = -10 is (-8, -2).

y - x = 6

⇒y = x + 6

y + x = -10

⇒y = - x - 10

Since both equations are equal to y, equate them.

x + 6 = - x - 10

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

Put the value of x in either of the equations

y - x = 6

y - (-8) = 6

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.

The probability of renting exactly three apartments in a week is given by the Poisson probability function:

\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)

Substituting the values, we get:

\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)

P(X = 3) = (0.09963 * 12.167) / 6

P(X = 3) = 0.2018

Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

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6

if youadd 9 tot he thing you get the answr

The scale of measurement that can be either numeric or non-numeric is nominal scale (C).

Nominal scales are used for categorizing or classifying data into groups or categories. These categories can be either numeric or non-numeric, such as gender, race, or political affiliation. It is important to note that nominal scales do not have any inherent order or ranking to them, unlike other scales of measurement like interval or ratio. Therefore, nominal scales are useful for identifying differences between groups, but not for making quantitative comparisons between them.

Ratio scale is a quantitative scale that has a true zero and equal intervals between each neighboring points.

Interval scale is a quantitative scale with order and the different between 2 variables are meaningful and equal. However, the presence of zero is arbitrary.

Quantitative scale measures relationship between variables based using numeric approach. Quantitative scales consist of interval, ration, ordinal, and nominal scale.

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The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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Answer:

40%

Step-by-step explanation:

➡6/15×100

➡600/15

➡40%

Answer: 40% of the plants are carrots

Step-by-step explanation:

In order to figure out the percentage, we have to find what "part" of the "total" are the carrots, which is given. We already know that 6 of the total 15 plants are carrots. When referring to a percentage, basically we are trying to find out how many carrots there would be, if we were to have 100 plants. So, in order to do so, we would need 100 plants. I'll make it even more simple:

We have 15 plants - 6 of which are carrots

If we were to have

100 plants         - HOW MANY would be carrots??

The answer to our question is also the percentage we are looking for. If we replace HOW MANY with x, than we would have this equation: 15*x=6*100, so 15x=600 and x=40, so the percentage is 40%.

In order to make this easier, as i said in the beginning we are referring to the part of a total, with given numbers, so if we would divide 6 out of 15, we would have 6/15=0.4 , multiplying that number with 100 (for the percentage), you get 40% again, with a faster and easier way. Practice makes perfect.

Answer:

2/3

Step-by-step explanation:

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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Answer:

20° and  90°

Step-by-step explanation:

Let 2x = measure of 1st angle

then 9x =  measure of 2nd angle

The sum of the measures of the angles of a quad is 360

200 + 50 + 2x + 9x = 360

250 + 11x = 360

11x = 110

x = 10

2x = 20°

9x = 90°

Whether the data is normally distributed or not is determined by testing the skewness and kurtosis values of the sample. If the skewness and kurtosis are within the range of -2 to +2, the data is regarded to be normally distributed.

To determine if the data are from a population that is normally distributed, we'll compute the skewness and kurtosis for the given dataset. The formulas for calculating skewness and kurtosis are as follows:

Skewness = (3 * Mean – Mode) / Standard Deviation

Kurtosis = (Mean – Mode) / Standard Deviation

We will use the following steps to calculate skewness and kurtosis for the provided dataset:

Step 1: Calculate the mean (average) of the dataset.μ = (14 + 19 + 22 + 24 + 26 + 28 + 29 + 29 + 30 + 32) / 10

= 24.3

Step 2: Calculate the median (midpoint) of the dataset. The values in the data set are already in order, so we can find the median by simply taking the value in the middle of the data set. The median is 26.

Step 3: Calculate the mode (most frequently occurring value) of the dataset.There is no mode for this dataset as there are no repeated values.Step 4: Calculate the variance and standard deviation of the dataset.

Var(X) = [Σ (Xi – μ)2] / N

Var(X) = [(14-24.3)2 + (19-24.3)2 + (22-24.3)2 + (24-24.3)2 + (26-24.3)2 + (28-24.3)2 + (29-24.3)2 + (29-24.3)2 + (30-24.3)2 + (32-24.3)2] / 10

Var(X) = 27.01

SD(X) = √27.01

= 5.2

Step 5: Calculate the skewness of the dataset using the formula.

Skewness = (3 * Mean – Mode) / Standard Deviation

Skewness = (3 * 24.3 – 26) / 5.2

= 0.19

The skewness value of 0.19 is within the range of -2 to +2, indicating that the data is normally distributed. Similarly, the kurtosis value can be calculated using the formula.

Kurtosis = (Mean – Mode) / Standard Deviation

Kurtosis = (24.3 – 26) / 5.2

= -0.27

The kurtosis value of -0.27 is also within the range of -2 to +2. Therefore, we can conclude that the data is normally distributed.

In statistics, data are usually distributed in one of two ways: it is either normally distributed, meaning that the majority of values fall close to the mean, or it is skewed, meaning that a significant number of values fall in one direction of the mean or the other. It is important to know which of these distributions applies to a given data set so that you can make accurate predictions based on that data.

Normal distribution is a term used in statistics to describe a pattern of data that is symmetrical, meaning that the data values are equally likely to fall on either side of the mean. When the data is normally distributed, the majority of the data values fall close to the mean, with fewer values the farther away from the mean you go.

The normal distribution is useful for making predictions and understanding the likelihood of a particular outcome. This is because it is easy to see where the majority of the data falls on a normal distribution graph, and you can use that information to predict future outcomes.

Skewed distribution is a term used in statistics to describe a pattern of data that is asymmetrical, meaning that the data values tend to cluster on one side of the mean or the other. Skewed data can be difficult to interpret, and it may require special statistical methods to analyze.

This is because the data may be influenced by outliers, or extreme values, that skew the distribution. When the data is skewed, the median may be a better measure of central tendency than the mean.

We have calculated the skewness and kurtosis of the given data. The skewness value of 0.19 is within the range of -2 to +2, indicating that the data is normally distributed.

Similarly, the kurtosis value of -0.27 is also within the range of -2 to +2. Therefore, we can conclude that the data is normally distributed.

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Answer:

33 miles

Step-by-step explanation:

Trip to airport:

distance = d1

speed = s1 = 55 mph

time = t1

Trip home:

distance = d2

speed = s2 = 45 mph

time = t2

We are told the same route was used for both trips, so

d1 = d2

The total time was 1 hr 20 min = 1 hr + 20/60 hr = 4/3 hr.

t1 + t2 = 4/3

t2 = 4/3 - t1

speed = distance/time

distance = speed * time

d1 = s1 * t1

d2 = s2 * t2

d1 = d2, so

s1 * t1 = s2 * t2

t2 = 4/3 - t1; s1 = 55; s2 = 45

55 * t1 = 45(4/3 - t1)

55t1 = 60 - 45t1

100t1 = 60

t1 = 0.6

The time to get the the airport was 0.6 hr. Now we find the distance.

d1 = s1 * t1

d1 = 55 * 0.6

d1 = 33

The distance is 33 miles.

The airport is at a distance of 33 miles from Dara's home.

Speed is directly proportional to distance and inversely proportional to time. Its equation is given as:

Speed = Distance/Time.

The other equations, formed using this equation are:

Distance = Speed*Time

Time = Distance/Speed.

In the question, we are informed that Dara drove from home to the airport to pick up her friend and then came back home on the same route. Her average speed on the way to the airport was 55 miles per hour (mph), and her average speed on the way back home was 45 mph.

We are asked to find the distance between Dara's home and the airport, if the total driving time was 1 hour 20 minutes.

We assume the distance between Dara's home and the airport to be x miles.

As she went to the airport and came back from the airport via the same route, her distance in both the cases will be x miles.

Time taken by Dara to go from home to the airport,

t1 = Distance/Speed = x/55 (Since, her average speed on the way to the airport was 55 mph).

Time taken by Dara on the way back home,

t2= Distance/Speed = x/45 (Since, her average speed on the way back home was 45 mph).

Now, total driving time can be written as,

t1 + t2,

= x/55 + x/45,

= (9x + 11x)/495,

= 20x/495,

= 4x/99.

Now, we know that this time is given as 1 hour and 20 minutes = 1 1/3 hours = 4/3 hours.

Therefore, we an write the equation:

4x/99 = 4/3,

or, x = (4*99)/(4*3) = 33.

Therefore, the airport is at a distance of 33 miles from Dara's home.

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Answer:

Value of the car at the end of 3 years is £7917.75

Step-by-step explanation:

The car is purchased for £11500.

In the first year, 15% depriciation.

So, depreciation on first year =11500 *\(\frac{15}{100}\) =1725

After first year depreciation the value of car =11500-1725 =£9775

Now, second year depreciation is 10%

So, 10% of 9775 =0.10*9775 =977.5

Value of car after 2 years = 9775 -977.5 =8797.5

Now, for third year depreciation is 10%.

So, depreciation on 3 year = 10% *8797.5

                                           =0.10*8797.5

                                          =879.75

So, value of car after 3 years = 8797.5 -879.75 =£7917.75

The daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Pete is making decorations for a dinner party. The instructions tell him to use 9 flowers for a medium-sized decoration which has 2 lilies, 1 rose, 3 carnations, 2 daffodils and 1 iris.

The ratio of daffodils to total flower is,

n=2/9.

To make a large decoration, Pete uses 36 flowers. Let suppose the daffodils flower he needs for this is x. Thus,

x=36*(2/9)

x=4*2

x=8

The rose flower is increased from 1 to 2. Thus, the total number of flower also be twice for decoration.

Flower=2*9

Flower=18

Now Pete uses 10 lilies instead of 2 which is 5 times the medium-sized decoration. Thus, the carnations to be needed is,

Carnations=3*5

Carnations=15

Hence, the daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

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Answer:

The surface area of each ice cream of the three ice cream  is approximately 706.86 cm²

Step-by-step explanation:

The given parameters are;

The diameter of the cones = 10 cm

The radius of the cone, r = 5 cm

The assumption of the shape of the capping of the ice cream = Hemisphere

The surface area of an hemisphere = 3·π·r²

The surface area of each ice cream = 3 × π × (5 cm)² ≈ 235.62 cm²

The surface area of each ice cream of the three ice cream  = 3 × 235.62 ≈ 706.86 cm²

The surface area of each ice cream of the three ice cream  ≈ 706.86 cm².