pls help
will mark brainliest to who answers first

Answer:

Yes he did. The error is that you are supposed to add 2x to 3x to get 5x. So 5x = 10, x = 2

Step-by-step explanation:

Answer:

$8.30

Step-by-step explanation:

7.99 + 4% = 8.30

Answer:

100

Step-by-step explanation:

angles CHF and EHI are congruent angles because CD is a straight line.

Therefore EHI must be 20 degrees.

angles DIG and EIH are congruent angles because CD is a straight line.

Therefore EIH must be 60 degrees.

Now that you know two of the three angles in the triangle HEI,

Total degrees in a triangle - EIH - EHI = HEI

180 - 60 - 20 = 100

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

To know more about Speed:

https://brainly.com/question/28224010

#SPJ4

Answer:

y=5/2x-16

Step-by-step explanation:

First, we want to find the slope of the original line.

m= -4+8/-1-9

m= 4/-10

m= -2/5

Because we want the perpendicular bisector, we will need the slope to be the opposite reciprocal. Therefore, our slope is

m=5/2

Now, we want to find the midpoint of the line.

9-1/2

8/2=4

-8-4/2

-12/2= -6

So, the midpoint is (4,-6)

Using the information we have, we now can find b.

-6=5/2(4)+b

-6=10+b

-16=b

That gives us our equation

y=5/2x-16

Answer:

convert 10 hours 30 minutes to hours= 10.5

683/10.5

=65.04km/h

The ODE obeyed by T(t) is d²T/dt². The solutions that obey the boundary conditions X(0) = 0 and d (L) = 0 are sin (1) and sin(37).

The possible solution of the given wave equation is cos(kx) sin(kt), and the PDE that cannot be solved exactly by using the separation of variables u(x, y) for X(x) and Y(y) is

8²u 8²u dz² = Q[ + e=¹].

The given wave equation is 8²u 8² 82 dt². By the separation of variables, the wave equation can be studied, which can be denoted as u(x, t) = X(x)T(t).

Let's find out what ODE is obeyed by T(t) if (x) = −k² X(x):

We have,X(x) = −k² X(x)

Now, we will divide both sides by X(x)T(t), which gives us

1/T(t) * d²T/dt² = −k²/X(x)

The LHS is only a function of t, while the RHS is a function of x. It is a constant, so both sides must be equal to a constant, say −λ. Thus, we have

1/T(t) * d²T/dt² = −λ

Since X(x) obeys the boundary conditions X(0) = 0 and d (L) = 0, it must be proportional to sin(nπx/L) for some integer n. So, we have X (x) = Asin(nπx/L). We also know that T(t) is of the form:

T(t) = Bcos(ωt) + Csin(ωt)where ω² = λ.

Therefore, we have the ODE obeyed by T(t) as follows:

d²T/dt² + ω²T = 0

We need to tick all that are correct to obey the boundary conditions X(0) = 0 and d (L) = 0. Thus, the correct options are: sin (1) and sin(37)The possible solution of the given wave equation is cos(kx) sin(kt).

The PDE that cannot be solved exactly by using the separation of variables u(x, y) for X(x) and Y(y) is:

8²u 8²u dz² = Q[ + e=¹]

Thus, the ODE obeyed by T(t) is d²T/dt². The solutions that obey the boundary conditions X(0) = 0 and d (L) = 0 are sin (1) and sin(37). The possible solution of the given wave equation is cos(kx) sin(kt), and the PDE that cannot be solved exactly by using the separation of variables u(x, y) for X(x) and Y(y) is 8²u 8²u dz² = Q[ + e=¹].

To know more about the ODE, visit:

brainly.com/question/30257736

#SPJ11

The values are as follows: (a) -0.52, (b) 0.68, (c) 0.7764, (d) the value of the PDF at 0.8 using the given parameters, and (e) 0.3300.

(a) The value at which the cumulative distribution function (CDF) of a standard normal distribution (N(0,1)) takes on the value of 0.3 is approximately -0.52.

(b) The value at which the CDF of a standard normal distribution (N(0,1)) takes on the value of 0.75 is approximately 0.68.

(c) The value of the CDF of a normal distribution N(-2,5) at 0.8 can be calculated by standardizing the value using the formula Z = (X - μ) / σ, where X is the given value, μ is the mean, and σ is the standard deviation. After standardizing, we find that Z ≈ 0.76. Using a standard normal distribution table or calculator, we can determine that the CDF value at Z = 0.76 is approximately 0.7764.

(d) The value of the probability density function (PDF) of a normal distribution N(-2,5) at 0.8 can be calculated using the formula f(x) = (1 / (σ * √(2π\(^(-(x -\) μ)))) * e² / (2σ²)), where x is the given value, μ is the mean, σ is the standard deviation, and e is Euler's number (approximately 2.71828). Plugging in the values, we can compute the PDF at x = 0.8.

(e) The value of the CDF of a normal distribution N(-2,5) at -1.2 can be calculated in a similar manner as in part (c). After standardizing the value, we find that Z ≈ -0.44. Using a standard normal distribution table or calculator, we can determine that the CDF value at Z = -0.44 is approximately 0.3300.

learn more about cumulative distribution function (CDF) here:

https://brainly.com/question/31479018

#SPJ11

Answer:

the answer is b 4-n. Hope this helps

Answer:

the second one (4-n).

Step-by-step explanation:

lol

a. the mean of the sampling distribution of the sample proportion is 0.46

b. the standard deviation of the sampling distribution of the sample proportion is 0.0498

c. he sample size is 100 in this case, we can assume that the sampling distribution of p^ is approximately normal.

d. the probability of having a z-score greater than 2.811 is equal to 1 - 0.9974 = 0.0026, or 0.26%.

e. the standard deviation of the sampling distribution by a factor is 0.0704

a. The mean of the sampling distribution of the sample proportion, denoted as μp^, is equal to the population proportion, which in this case is 46%.

μp^ = p = 0.46

the mean of the sampling distribution of the sample proportion is 0.46

b. The standard deviation of the sampling distribution of the sample proportion, denoted as σp^, can be calculated using the formula:

σp^ = √((p * (1 - p)) / n)

Where p is the population proportion (0.46) and n is the sample size (100).

σp^ = √((0.46 * (1 - 0.46)) / 100) = 0.0498

the standard deviation of the sampling distribution of the sample proportion is 0.0498

c. The sampling distribution of p^ is approximately normal due to the Central Limit Theorem (CLT). According to the CLT, when the sample size is sufficiently large (typically n ≥ 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. Since the sample size is 100 in this case, we can assume that the sampling distribution of p^ is approximately normal.

d. To find the probability that more than 60 households will own VCRs, we need to calculate the probability of getting a sample proportion greater than 0.6. We can standardize this value using the z-score formula:

z = (x - μp^) / σp^

Substituting the values, we have:

z = (0.6 - 0.46) / 0.0498 = 2.811

the probability of having a z-score greater than 2.811 is equal to 1 - 0.9974 = 0.0026, or 0.26%.

e. If the sample size is decreased from 100 to 50, the standard deviation of the sampling distribution of the sample proportion (σp^) would be multiplied by a factor of √(2), which is approximately 1.414. Therefore, the standard deviation would become:

New σp^ = σp^ * √(2) = 0.0498 * 1.414 = 0.0704

the standard deviation of the sampling distribution by a factor is 0.0704

Learn more about Standard Deviation here

https://brainly.com/question/29115611

#SPJ4

The mean of the sampling distribution of the sample proportion is 0.46. The standard deviation of the sampling distribution of the sample proportion is approximately 0.0498. The sampling distribution of p^ is approximately normal when the sample size is large enough. The probability that more than 60 households will own VCRs is approximately 0.0024. If the sample size is decreased from 100 to 50, the standard deviation of the sampling distribution would be multiplied by a factor of approximately 1.4142.

In statistics, a sampling distribution is the probability distribution of a given statistic based on a random sample. The sampling distribution of the sample proportion, denoted as p^, is the distribution of the proportions obtained from all possible samples of the same size taken from a population.

The mean of the sampling distribution of the sample proportion is equal to the population proportion. In this case, the population proportion is 46% or 0.46. Therefore, the mean of the sampling distribution of the sample proportion, denoted as μp^, is also 0.46.

The standard deviation of the sampling distribution of the sample proportion, denoted as σp^, is determined by the population proportion and the sample size. It can be calculated using the formula:

σp^ = √((p * (1 - p)) / n)

where p is the population proportion and n is the sample size. In this case, p = 0.46 and n = 100. Plugging in these values, we get:

σp^ = √((0.46 * (1 - 0.46)) / 100) = √((0.46 * 0.54) / 100) = √(0.2484 / 100) = √0.002484 = 0.0498

The sampling distribution of p^ is approximately normal when the sample size is large enough due to the Central Limit Theorem. This theorem states that the sampling distribution of a sample mean or proportion becomes approximately normal as the sample size increases, regardless of the shape of the population distribution. In this case, the sample size is 100, which is considered large enough for the sampling distribution of p^ to be approximately normal.

To calculate the probability that more than 60 households will own VCRs, we need to use the sampling distribution of p^ and the z-score. The z-score measures the number of standard deviations an observation is from the mean. In this case, we want to find the probability that p^ is greater than 0.6.

First, we need to standardize the value of 0.6 using the formula:

z = (x - μp^) / σp^

where x is the value we want to standardize, μp^ is the mean of the sampling distribution of p^, and σp^ is the standard deviation of the sampling distribution of p^.

Plugging in the values, we get:

z = (0.6 - 0.46) / 0.0498 = 2.8096

Next, we need to find the probability that z is greater than 2.8096 using a standard normal distribution table or a calculator. The probability is approximately 0.0024.

If the sample size is decreased from 100 to 50, the standard deviation of the sampling distribution of the sample proportion would be multiplied by a factor of:

√(n1 / n2)

where n1 is the initial sample size (100) and n2 is the final sample size (50). Plugging in the values, we get:

√(100 / 50) = √2 = 1.4142

About sampling distribution here:

https://brainly.com/question/31465269

#SPJ11

                     "

Answer:

A and E are right triangles

Triangles A and triangle E are the right-angle triangle, but triangles B, C, and D are not right-angle triangles.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.

Applying in Pythagoras theorem in the triangle A:

(√5)² = (√2)²+ (√3)²

5 = 5

Triangle A is the right-angle triangle.

For triangle B:

(√5)² = (√4)²+ (√3)²

5 ≠ 7

Triangle B is not the right-angle triangle

For triangle C:

16 + 25 ≠ 36

triangle C is not a right-angle triangle

For  triangle D:

25 + 25 ≠ 49

triangle D is not a right-angle triangle

For triangle E:

100 = 36 + 64

It is a right-angle triangle.

Thus, triangles A and triangle E is the right angle triangle.

Learn more about a right angle;

https://brainly.com/question/7116550

#SPJ2

To calculate probability of at least 6 graduates out of 11 ,we use binomial distribution formula. P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) by substituting values we get answer.

Let's denote the probability of a graduate having a summer job as p, which is given as 0.45, and the total number of graduates selected as n, which is 11. To find the probability of at least 6 graduates having a summer job, we need to sum up the probabilities of exactly 6, 7, 8, 9, 10, and 11 graduates having a summer job. This can be expressed as:

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11)

Using the binomial distribution formula, the probability of exactly x successes in n trials is given by:

P(X = x) = C(n, x) * p^x * (1 - p)^(n - x)  where C(n, x) represents the number of combinations of n items taken x at a time.

Substituting the given values, we can calculate the probability as:

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11)  Once the calculations are performed, the resulting probability represents the likelihood that at least 6 out of 11 randomly selected graduates have a summer job.

To learn more about binomial distribution formula click here : brainly.com/question/32030778

#SPJ11

Hence the average rate of change, in simplest form is -10 .

What is average rate of change?

Using the coordinate points from the table  ( 4,53) ( 8, 13 )

Substitute the coordinate into the expression

Average rate of change  = y₂ - y₁/x₂ - x₁

                                         = 13 - 53/8 - 4                    

                                         = -  4 0/4 ⇒ -10

Learn more about average rate of change

brainly.com/question/28744270

#SPJ13

If the process mean and variance do not change over time, the process is considered to be stable. Stability is a crucial concept in statistical process control as it allows for the reliable and predictable performance of a process.

To determine whether a process is stable, statistical process control techniques are used to monitor the process over time and detect any changes in the mean or variance. Control charts are often used to display the process data and identify any trends or patterns that may indicate a change in the process.
If the process mean and variance remain within the control limits of the control chart and show no significant patterns or trends, the process is considered stable. Stable processes are desirable as they allow for consistent performance and can be easily maintained within established control limits.
However, if the process mean or variance shows a significant change, this indicates that the process is no longer stable. This could be due to a variety of factors such as changes in equipment, raw materials, or operator performance. In this case, action should be taken to identify and correct the cause of the instability to restore the process to a stable state.

To learn more about process mean, refer:-

https://brainly.com/question/13790791

#SPJ11

Answer: it would be -13

Step-by-step explanation: -13-8=-21

Answer:

Step-by-step explanation:

Given the expression

3x + 2 = 4x + 5

1. The smaller coefficient of x is 3

to remove the smaller coefficient

we need to add - 3x to both sides

3x +2 + (-3x) = 4x +5 (-3x)

3x + 2 - 3x = 4x + 5 - 3x

Collecting like terms we have

3x-3x+2= 4x-3x+5

2 = x+ 5

2. The constant on the right side is

5,to remove the constant from the right side of the equation we need to add - 5 to both sides

3x + 2+ (- 5) = 4x + 5 +(-5)

3x+ 2-5 =4x +5-5

3x-3 = 4x

Check the picture below.

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

There are two ways to find the remainder when a polynomial in x is divided by a binomial of the form x-r, the use of synthetic division or calculate P(r).

Synthetic division

The Synthetic division is a shortcut way of polynomial division, especially if we need to divide it by a linear factor. It is generally used to find out the zeroes or roots of polynomials and not for the division of factors.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Learn more about polynomial here :-

https://brainly.com/question/11536910

#SPJ4

The multiplication of \((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)in scientific notation is \(9.6 \times {10}^{21} \)

Multiply the decimal numbers to multiply the integers in scientific notation. Add the 10 power exponents after that. In scientific notation, place the new power of 10 with the decimal.

given that \((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)

Now, find the answer in scientific notation

\((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)

combine the all the like terms

\((2.4 \times 4)( {10}^{14} \times {10}^{7} )\)

According to the exponent same base rule, an exponent will be added if the bases of two exponents are the same.

\((9.6) \times ( {10}^{14 + 7)} ) \\ 9.6 \times {10}^{21} \)

Hence,the multiplication of\((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\) in scientific notation is \(9.6 \times {10}^{21} \)

Learn more about multiplication in scientific notation from here:

https://brainly.com/question/28345285

#SPJ4

The largest angle for which it would be appropriate to use the small angle approximation for cosine is 15 degrees

We know that basic trigonometric identities are the primary trigonometric ratios of sine, cosine, and tangent that are defined in a right triangle but at the same time these ratios have numerous applications, but their most important application is finding unknown sides and angles in a right triangle.

Small Angle approximation can be said to be the approximation that can be used to find a more simplified formula for each of the three primary ratios. This process is called a small-angle approximation or applying the small-angle approximation theorem.

To learn more about small-angle approximation, click here:

brainly.com/question/30387088

#SPJ4

Answer: x=6

Step-by-step explanation:

Answer: x = 6

Step-by-step explanation:

Step 1: Subtract 3/5 from both sides.

2/5x + 3/5 − 3/5 = 3 - 3/5

2/5x = 12/5

Step 2: Multiply both sides by 5/2.

(5/2)*(2/5x) = (5/2)*(12/5)

x = 6

Answer:

13.5 cm

Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle θ. We know that for the angle equal to 360 degrees (2π), and the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

L/θ = C/2π (C = Circumference = 2πr)

L/θ = 2πr/2π,

L/θ = r,

L = r*θ = 9 cm * 1.5 = 13.5 cm

Answer:

9/8

Step-by-step explanation:

3/16 x 6

= 3/16 x 6/1

= 18/16

= 9/8

Answer:

She will be ready, and she will make it on time.

Step-by-step explanation:

Given:

\(Start\ Time = 10:20\ am\)

\(Planting = 5\ hours\)

\(Shower = 1\ hour\)

Required

Will she be ready by 5pm?

First, we calculate the time spent in planting and taking shower.

\(Time\ Spent = Planting + Shower\)

\(Time\ Spent = 5\ hours + 1\ hour\)

\(Time\ Spent = 6\ hours\)

Next, we calculate the end time. i.e. the time she'll finish these tasks.

\(End\ Time=Start\ Time + Time\ Spent\)

\(End\ Time=10:20\ am + 6\ hours\)

\(End\ Time=04:20\ pm\)

Since 04:20 pm is less than 5pm, then she will be ready, and she will make it on time.

The calculated volume of the figure is 761.97 cubic inches

From the question, we have the following parameters that can be used in our computation:

The volume of the figure is calculated as

Volume = Cylinder + Cone - Hollow cylinder

So, we have

Volume = 3.14 * (8/2)^2 * 18 + 1/3 * 3.14 * (8/2)^2 * 5 - 3.14 * (2)^2 * 18

Evaluate

Volume = 761.97

Hence, the volume is 761.97 cubic inches

Read more about volume at

https://brainly.com/question/463363

#SPJ1

The value of x in the equation (2x - 3) = 23 is 10.

The value of x in the equation (2 + x) = 4 - x is 1.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

The calculation of the equations will be:

(2x - 3) = 23

Collect the like terms

2x = 23 + 3

2x = 26

Divide.

x = 26 / 2

x = 13

(2 + x) = 4 - x

Collect the like terms

x + x = 4 - 2

2x = 2

Divide

x = 2/2

x = 1

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

The line from dock A to dock B and the lines from the coral

reef to docks A and B form an isosceles triangle.

Correct response:

Given parameters are;

Distance between the docks = 2,581 ft.

Bearing of coral reef from dock A = 58°28'

Bearing of the coral reef from dock B = 328° 28'

Required:

The distance from dock A to the coral reef

Solution:

\(\theta _1 = 58^{\circ} 28' = \mathbf{\left(58 + \dfrac{28}{60} \right)^{\circ}} = 58.4\overline 6^{\circ}\)

θ₂ = 328°28' = 328.4\(\overline 6\)°

From the attached diagram, the angle at point C the coral reef is given as follows;

∠C = 180° - 2 × \(58.4\overline 6^{\circ}\) = \(\mathbf{63.0\overline 6^{\circ}}\)

According t the law of sines, we have;

Which gives;

The distance from dock A to the coral reef, AC ≈ 2,467.52 feet

Learn more about the law of sines here:

https://brainly.com/question/512583

10 dollars / 15 cans = 50 dollars / 75 cans

Equality and proportion are both important mathematical concepts used in various branches of mathematics, including arithmetic, algebra, and geometry.

Equality refers to the relationship between two values or expressions that are exactly the same. The symbol used to indicate equality is the equal sign (=). For example, 3 + 4 = 7 means that the value of 3 added to 4 is exactly equal to 7. In algebra, equality is used to solve equations and find the values of variables.

Proportion, on the other hand, refers to the relationship between two or more ratios or fractions. A proportion is an equation that states that two ratios are equal. The symbol used to indicate proportion is the proportionality symbol (∝) or the equal sign with two colons (::). For example, the proportion 1/2 :: 3/6 means that the ratio of 1 to 2 is proportional to the ratio of 3 to 6, because they both simplify to 1:2.

To represent the proportion of 10 dollars to 15 cans as 50 dollars to 75 cans, we can set up the following equality using the proportionality symbol "∝":

10 dollars / 15 cans ∝ 50 dollars / 75 cans

To simplify this proportion, we can cross-multiply and get:

10 dollars × 75 cans = 15 cans × 50 dollars

Multiplying on each side, we get:

750 dollars = 750 dollars

This shows that the two ratios are equivalent and the proportion is true. Therefore, the equality that represents the proportion is:

10 dollars / 15 cans = 50 dollars / 75 cans

To know more about proportion visit:

https://brainly.com/question/29765554

#SPJ1