Select a composite number to break into factors. Continue
factoring until all factors are prime.
56

Answer:

The Z is has no lines of symmetry. The W and Y have one line of symmetry. The X has two lines of symmetry.

Answer:

The letter Z has no lines of symmetry. No matter where you put a straight line through Z, it will never be symmetrical.

hope this helps! <3

Answer:5/14

Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered

The probability that a piece selected at random and is defective given that it is known to be a plate is 0.0588 or 5.88%.

To calculate the probability, we need to use Bayes' theorem: P(defective|plate) = P(plate|defective) * P(defective) / P(plate).

Therefore, P(defective|plate) = 0.2 * 0.0227 / 0.0818 = 0.0588 or 5.88%.

The probability that a cup will be chosen given that it is defective is 0.4 or 40%.

To calculate the probability, we need to use the information given in the table:

Divide the number of defective cups by the total number of defective products: 10/25 = 0.4 or 40%.

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Complete Question:

The following table shows the relationship of 1100 pieces between good and defective made in a ceramic workshop

cup plate vase total

Good 830 85 1415

Defective 10 5

Overall 510 90

What is the probability that a piece is selected at random and is defective given that it is known to be a plate?

What is the probability that a cup will be chosen given that it is defective?

​

Answer:

10

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

\(\triangle ACB \cong \triangle DCE... (given) \\\\

\implies m\angle A = m\angle D... (cact) \\\\

\therefore 50\degree = (10x) \degree \\\\

\therefore 50 = 10x\\\\

\therefore \frac{50\degree}{10}= x \\\\

\therefore 5 = x \\\\

x = 5\)

Step-by-step explanation:

1) 432000000

2) 1050000

3) 82310000000

4) 0.000231

5) 0.00007.

hope this helps you.

Answer:

a. 3 $3.69

Step-by-step explanation:

Answer:

Pounds Cost

3 $3.69

$ 3.69/3 = $1.23/1 pound

5 $6.15  

$6.15/5 =  $1.23/1 pound

8 $9.84

$9.84/8 = $1.23/1 pound

Step-by-step explanation:

Answer:

c part ....

please mark brainlest

The proportion of employees in entry-level positions at the company who earn at least $ 42,000 will be 0.48466.

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

According to a recent survey, the salaries of entry-level positions at a large company have a mean of $ 41,750 and a standard deviation of $ 6500.

Assuming that the salaries of these entry-level positions are normally distributed.

Then the proportion of employees in entry-level positions at the company who earn at least $ 42,000 will be

The z-score is given as

z = (x - μ) / σ

Then we have

z = (42000 - 41750) / 6500

z = 0.03846

Then we have

P(x ≥ 42000) = P(z ≥ 0.03846)

P(x ≥ 42000) = 1 - P(z < 0.03846)

P(x ≥ 42000) = 1 - 0.51534

P(x ≥ 42000) = 0.48466

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The equations for this particular representation are

and

To find the equation of the line that is perpendicular to the line 5x - 2y = -6 and passes through the point (5, 4), we can use the slope-intercept form of a line, y = mx + b. We know that the slope of the given line is -5/2, so the slope of the line that is perpendicular to it is the negative reciprocal of this slope, or 2/5.

We also know that the line passes through the point (5, 4), so we can plug these values into the equation to solve for b, which gives us 4 = (2/5)(5) + b. Solving for b, we find that b = 2. Therefore, the equation of the line is y = (2/5)x + 2.

Alternatively, we can use the point-slope form of a line, which is written as y - y1 = m(x - x1). In this form, m is the slope of the line and (x1, y1) is a point on the line. Plugging in the values for the slope and the point, we get y - 4 = (2/5)(x - 5). This simplifies to y = (2/5)x + 4, which is another equation that represents the line.

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Answer:

1/27

Step-by-step explanation:

- substitute the variable with the given datas

[3^-5 * 3^4]^3 * [3^-4 * (-9)^3]^0

- use  the properties of power

(3^-1)^3 * 1

3^-3

(1/3)^3

1/27

The answer is number 3 i.e. 1/27

Answer:

f(x) = x^2 -2x -8

Step-by-step explanation:

(x+2)(x-4)

FOIL

first: x*x = x^2

outer: -4x

inner: 2x

last: 2*-4x = -8

Add together

x^2 +2x-4x-8

x^2 -2x -8

This is a parabola

Answer: 10

Step-by-step explanation:

9.457

Above 5= change of # before decimal point

Answer:

9

Step-by-step explanation:

9.4 rounds down to 9, if it were 9.5 it would round up to 10

Answer:

mean = 9

median = 10

Step-by-step explanation:

Finding the mean :

Finding the median :

We need to isolate k in the equation

If we move 20 to the right hand side as -20, we get

since -40-20 = -60, we get

Therefore, the answer is k= -60.

Answer:

Step-by-step explanation:

Option 1 : 180 miles = 60 miles per hour x number of hours Abdul

drove is the correct answer.

We have a boy named Abdul who drives at a speed of 60 miles per hour and he has covered 180 miles so far.

We have to find out which equation shows how to calculate the number of hours Abdul took to cover this distance.

Distance travelled by the body is given by = speed of the body x time taken to cover that distance.

d = s x t

In the question given to us - d = 180 miles   and   s = 60 miles/hour.

Lets assume the time taken by Abdul be n.

We know -

d = s x t

180 = 60 x n

Hence, Option 1 : 180 miles = 60 miles per hour x number of hours Abdul

drove is the correct answer.

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The height of the flagstaff by suing trigonometric ratios is found to be 27 m.

Given,

Height of the ladder, AD = 18 m

The distance to the point below the top of a vertical flagstaff where the ladder reaches, CD = 18m

Angle of elevation of flagstaff from the foot of the ladder, ∠ CAB = 60 °

Δ ACD is isosceles triangle.(Image is attached)

∠ ACB = ∠ CAD = 30 °

In △ ABD, by using the trigonometric ratios, we get that:

Sin 30 ° =  BD / AD

1 / 2 = BD / 18

BD = 9 m

So, the height of the flagstaff will be:

BC = BD + DC =9 + 18 = 27 m

Therefore, we get that, the height of the flagstaff by using trigonometric ratios is found to be 27 m.

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There is zero or no degree of freedom in  the mean of the differences in a paired t-test.

For the paired t-test, we need two variables. One variable defines the pairs for the observations. The second variable is a measurement. Sometimes, we already have the paired differences for the measurement variable. Other times, we have separate variables for “before” and “after” measurements  for each pair and need to calculate the differences.

We also have an idea, or hypothesis, that the differences between pairs is zero. It is also known as the dependent samples t-test, the paired-difference t-test, the matched pairs t-test and the repeated-samples t-test.

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40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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We can expect the mean length of ears in the next generation to be 31.6 cm.

It is given that the narrow sense heritability (h2) is 0.70, which means that 70% of the total variation in maize ear length is due to genetic factors.

Let the mean length of ears in the original population be µ and the mean length of ears in the selected plant be x. Then, we can use the formula for response to selection to find the expected mean length of ears in the next generation:

x' = µ + h2 * (x - µ)

Substituting the given values, we get:

x' = 28 + 0.70 * (34 - 28) = 31.6 cm

Therefore, we can expect the mean length of ears in the next generation to be 31.6 cm.

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You will need approximately 2.66 lbs of the $1.70/lb chocolate and 4.74 lbs of the $5.40/lb chocolate to obtain the desired mixture.

Let x be the number of pounds of the $1.70/lb chocolate and y be the number of pounds of the $5.40/lb chocolate.

Since you want a mixture of 7.4 lbs that sells for $4.10/lb, you can set up the following system of equations:

Equation 1: x + y = 7.4 (to represent the total weight of the mixture)

Equation 2: (1.70x + 5.40y) / 7.4 = 4.10 (to represent the average price per pound)

Now, we can solve this system of equations to find the values of x and y.

First, let's rewrite Equation 2 to eliminate the fraction:

1.70x + 5.40y = 4.10 * 7.4

Next, we can solve the system using any method, such as substitution or elimination. Let's use the elimination method to eliminate the variable x:

Multiply Equation 1 by 1.70 to make the coefficients of x in both equations equal:

1.70 * (x + y) = 1.70 * 7.4
1.70x + 1.70y = 12.58

Now, subtract Equation 2 from the modified Equation 1 to eliminate x:

(1.70x + 1.70y) - (1.70x + 5.40y) = 12.58 - (4.10 * 7.4)
1.70x - 1.70x + 1.70y - 5.40y = 12.58 - 30.14
-3.70y = -17.56

Divide both sides of the equation by -3.70 to solve for y:

y = -17.56 / -3.70
y ≈ 4.74

Now, substitute the value of y back into Equation 1 to solve for x:

x + 4.74 = 7.4
x ≈ 7.4 - 4.74
x ≈ 2.66

Therefore, you will need approximately 2.66 lbs of the $1.70/lb chocolate and 4.74 lbs of the $5.40/lb chocolate to obtain the desired mixture.

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Answer:

I believe the answer to this question is 7

The number of minutes the trip will take if the car is traveling 1628 miles from Houston to New York at a constant speed of 78 miles per hour is 1,252.20 minutes

Speed = Total distance / Total time

78 = 1628 / Time

78 × Time = 1628

Time = 1628 / 78

Time = 20.87179487179487 hours

Approximately,

20.87 hours

Convert hours to minutes:

1 hour = 60 minutes

20.87 hours = 60 × 20.87

= 1,252.20 minutes

So therefore, it will take the car 1,252.20 minutes to travel from Houston to New York at a constant speed of 78 miles per hour.

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The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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The statement "If a ray divides an angle into two supplementary angles, the original angle is a straight angle." is a true statement

This is further explained below.

Generally, Complementary angles are two angles whose sums, when added together, equal 180 degrees. Always remember that the two angles that make up a linear pair, such as 1 and 2 in the image below, are complementary to one another.

However, for two angles to be complementary, they do not need to be next to one another. In the following illustration, angles 3 and 4 are supplementary given that the sum of their degrees equals 180°.

In conclusion, The assertion that "if a ray splits an angle into two additional angles, the original angle is a straight angle" is one that may be verified as being correct.

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To measure out equal numbers of two varieties of beans using a chemical balance after setting standard for relative mass.

First place an empty container on one side of balance and adjust balance until it is level. Then, add beans of one variety to the container until the balance becomes level again. Next, remove the beans from the container and replace them with beans of the second variety until the balance is level once more. By repeating this process, you can ensure that equal numbers of beans from both varieties are measured using the chemical balance.

A chemical balance works based on the principle of equalizing masses. By placing objects of known or unknown mass on one side of the balance and adjusting the other side until it is level, you can determine the relative mass of the objects. To measure out equal numbers of two varieties of beans, you start by placing an empty container on one side of the balance. The balance should be adjusted until it is level. This ensures that the weight of the container is balanced. Then, you add beans of one variety to the container until the balance becomes level again. The weight of these beans is now known. After recording the weight, you remove the beans from the container and replace them with beans of the second variety. Again, the balance is adjusted until it becomes level. The weight of the second variety of beans can now be determined. By repeating this process, you can measure out equal numbers of beans from both varieties using the chemical balance.

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Complete question :

According to one source, 49% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 61 of them were due to at least in part to pilot error. Complete parts (a) and (b) below. Test the hypothesis that the proportion of airplane accidents due to pilot error is not 0.49. Use a significance level of 0.05.

Determine the null and alternative hypotheses. H0: p Ha: p

Determine the test statistic. Z = (Round to two decimal places as needed.)

Determine the p-value.

Answer:

H0: p = 0.49

Ha: p ≠ 0.49

Zstatistic = 2.45

Pvalue = 0.015

Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49

Step-by-step explanation:

Claim: proportion of airplane accidents due to pilot error is not 0.49

Null and Alternative hypothesis :

H0: p = 0.49

Ha: p ≠ 0.49

Sample size (n) = 100

Number due in part to pilot error = 61

Sample Proportion ph = 61 / 100 = 0.61

Standard Error :

√(p*(1 - p) / n))

√(0.61 * (1 - 0.61) / 100))

√(0. 61 * 0.0039)

= 0.0487749

= 0.049 ( 3 significant figure)

Zstatistic = (ph - p) / SE

Zstatistic = (0.61 - 0.49) / 0.049

Zstatistic = 2.4489795 = 2.45

Using the p value from Z statistic calculator ; α = 0.05, 2 tailed test :

P value = 0.014687 = 0.015

P value < α

0.015 < 0.05

Since the p value is less Than α,

Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49

Answer:

- 2x + 10

Step-by-step explanation:

Given

- 8x + 2(3x + 5) ← distribute parenthesis by 2

= - 8x + 6x + 10 ← collect like terms

= - 2x + 10

The proof intersection of two min cut is also min cut is explained in detailed way and the steps are given below.

In graph theory, a cut in a graph G is a partition of the vertices of G into two non-empty sets. The weight of a cut is the sum of the weights of the edges that cross the partition. A min cut is a cut of minimum weight.

Suppose we have two min cuts in a graph G, C1 and C2. We need to show that the intersection of C1 and C2 is also a min cut.

Let C = C1 ∩ C2, and let w(C) be the weight of C. Since C is a subset of both C1 and C2, we have w(C) ≤ w(C1) and w(C) ≤ w(C2).

Now, suppose for contradiction that there exists a cut C' in G such that w(C') < w(C). Since C1 and C2 are min cuts, we have w(C1) = w(C') and w(C2) = w(C').

Therefore, w(C') < w(C1) and w(C') < w(C2), which implies that C' is a cut of weight less than the weight of both C1 and C2, which contradicts the assumption that C1 and C2 are min cuts.

Therefore, we conclude that the intersection of two min cuts is also a min cut.

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the general solution to Laplace's equation in cylindrical coordinates for axially symmetric solutions is: u(r,z) = (c1J0(λr))(c3e^λz + c4e^(-λz))   where c1, c3, and c4 are constants and λ is a parameter that can be determined from the boundary conditions.

b) Assuming that u(r,z) = R(r)Z(z), we can use the method of separation of variables to obtain the equations for R and Z. Substituting u(r,z) = R(r)Z(z) into Laplace's equation in cylindrical coordinates, we have:

u_rr + (1/r)u_r + u_zz = 0

(RZ)'' + (1/r)(RZ)' + RZ'' = 0

Dividing by RZ and multiplying by r^2, we get:

r^2(R''/R + (1/r)R'/R) + Z'' = 0

Since the left-hand side of this equation is a function of r only and the right-hand side is a function of z only, they must be equal to a constant, say -λ^2:

r^2(R''/R + (1/r)R'/R) = -λ^2

Z'' = λ^2

Simplifying the first equation and multiplying by R, we get:

r^2R'' + rR' - λ^2R = 0

This is a Bessel's equation with order 0. Its solutions are of the form:

R(r) = c1J0(λr) + c2Y0(λr)

where J0 and Y0 are the Bessel functions of the first and second kind, respectively. However, since we want R to be finite as r → 0, we must set c2 = 0. Therefore, R(r) = c1J0(λr).

Similarly, the equation for Z(z) becomes:

Z'' - λ^2Z = 0

This is a second-order ordinary differential equation with constant coefficients. Its solutions are of the form:

Z(z) = c3e^λz + c4e^(-λz)

where c3 and c4 are constants.

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Answer:

It is actaully 19683.0 lol

Step-by-step explanation:

Answer:

I thought it was 42069 i guess i was wrong

Step-by-step explanation: