Label each point on the number line with the correct value. Click each dot on the image to select an answer. Choices

Answer:

\((x + 4)(x + 5)\)

\(x \times x + 5x + 4x + 4 \times 5\)

\(x {}^{2} + 5x + 4x + 20\)

\(x {}^{2} + 9x + 20\)

The standard form of the expression (x+4)(x+5) is  x²+9x+20.

An expression is combination of variables, numbers and operators.

The given expression is (x+4)(x+5)

x is the variable in the given expression.

We have to multiply and simplify the expression.

Let split the expression as below.

x(x+5)+4(x+5)

Apply the distributive property

x²+5x+4x+20

Combine the like terms

x²+9x+20

x²+9x+20 is the standard form of the expression (x+4)(x+5)

Hence, the standard form of the expression (x+4)(x+5) is  x²+9x+20.

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The probability of selecting a service holder given that the selected person is male is 3/5.

Given that, total number of males in group = 20

total number of females in group = 15

Total person in group = 20 + 15 = 35

Number of male who are service holder = 12

Number of females who are service holder = 8

Let M and S be the choosing a person who is male and service holder respectively.

P(M) = The probability of selecting a male = 20/35 = 4/7

P(S ∩ M) = The probability of selecting a male who are service holder = 12/35

The required probability of selecting a service holder given that the selected person is male is given by

= P(S | M)

= P(S ∩ M)/P(M)

= (12/35)/(4/7)

= (12/35)*(7/4)

= 3/5

Hence the required probability is 3/5.

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Answer:

You would pay $30.6, and the discount would be $3.4

Step-by-step explanation:

Because it is a 10% discount, you will only have to pay 90%. So: 0.9*34=30.6

Another way to solve it would be to calculate 10%, which would be 3.4, so 34-3.4=30.6

The line is dashed with a y-intercept at (0,-2) and slope of -3/2 which is a correct option(C)

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

-3x - 2y <6

Let's consider an equation of a line,

-3x-2y = 6

-2y = 3x + 6

y = -3/2x - 3

So, slope = -3/2

Substitute y =0 in the equation of a line

So, y-intercept at (0,-2)

Due to Inequality, the graphical representation of the line is a dashed line.

Hence, the line is dashed with a y-intercept at (0,-2) and a slope of -3/2

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Answer:

11=2y-11

11+11=2y

22=2y

y=22/2

y=11

Answer: I got you!

The answer is below!

11=2y-11

11+11=2y

22=2y

y=22/2

y=11

Answer:

No

Step-by-step explanation:

3² + 1 = 7? Nopeeeee

3 * 3 = 9, that alone is bigger than 7.

3 * 3 + 1 = 10.

10 is bigger than 7.

Answer:

No

Step-by-step explanation:

To know if (3, 7) is a solution, plug 3 into the x and 7 into the y.

\((3)^{2} +1=7\)

9 + 1 = 7

\(10\neq 7\)

Therefore, (3, 7) is not a solution.

Using the assumed values, the volume of the cone is \(V = \frac {250}3\pi\)

The volume of a cone is calculated using:

\(V = \frac 13\pi r^2h\)

The parameters are not given.

So, we use the following assumed values

Radius, r = 5

Height, h =10

Using the assumed values, we have:

\(V = \frac 13\pi * 5^2 * 10\)

Evaluate the product

\(V = \frac {250}3\pi\)

Hence, using the assumed values, the volume of the cone is \(V = \frac {250}3\pi\)

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Answer: C (490/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

v

=

−

4

h

5

+

20

Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

Answer:

ok i will help

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

4.96*6.57*8.02*2.31=603.716984464

Answer:

y = x

Step-by-step explanation:

hope this helps!

Answer:

m=1

Step-by-step explanation:

Notice how it is rising 1 unit and running 1 unit to the right; or

m = (y2-y1)/(x2-x1), pick two points (1,1) and (2,2) from the graph

m=(2-1)/(2-1)=1

Answer: = 50t+56

Step-by-step explanation: (6t-6t x 2) +14( 4t+4)

=6t-6t x 2 +14(4t+4)

=6t-12t+14(4t+4)

=6t-12t+56t+56

=50t+56

To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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Data definition involves describing the properties of the data that go into each database table, specifically the fields or columns that make up the database.

What is a field record table and query?

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Answer:

Infinitely many solutions

Step-by-step explanation:

multiply -x+5y=-6 with 2

-2x+10y=-12

2x-10y=12

add:

0=0

The function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)

The given parameters are:

Start by calculating the amplitude, A using:

A = h/2

This gives

A = 10/2

A = 5

Next, we calculate the period using:

B = π/t

This gives

B = π/1.5

Evaluate

B = 2π/3

The pendulum is at the middle.

So, it has no vertical displacement

The function is then represented as:

y = Acos(Bx)

This gives

y = 5cos(2π/3 x)

Hence, the function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)

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Answer:

its hs10

Step-by-step explanation:

because your looking for for the area

A.  To ensure that the probability is at least 0.95 that the relative frequency estimate differs from 0.20 by less than 0.02, at least 7976 voters should be polled.

b. We find the z-score corresponding to a cumulative probability of 0.95 to be approximately 1.96.

n > 2401

a) Using the Chebyshev inequality, we can determine the minimum number of voters that should be polled to ensure that the probability is at least 0.95 that the relative frequency estimate differs from 0.20 by less than 0.02.

The Chebyshev inequality states that for any random variable X with mean μ and standard deviation σ, the probability of X deviating from the mean by k standard deviations is at least 1 - 1/k^2.

In this case, we want the relative frequency estimate to deviate from 0.20 by less than 0.02, which means we want the difference to be within 0.02 standard deviations of the mean. Since the relative frequency estimate is a sample proportion, its standard deviation can be approximated by sqrt(p(1-p)/n), where p is the true proportion (0.20) and n is the sample size.

We can set up the inequality as follows:

1 - 1/k^2 ≥ 0.95

Solving for k:

1/k^2 ≤ 0.05

k^2 ≥ 1/0.05

k^2 ≥ 20

Taking the square root of both sides:

k ≥ sqrt(20)

k ≥ 4.47

To ensure that the difference between the relative frequency estimate and 0.20 is within 0.02, we need k standard deviations to be less than 0.02. So, we have:

k * sqrt(p(1-p)/n) < 0.02

4.47 * sqrt(0.20(1-0.20)/n) < 0.02

Simplifying:

sqrt(0.20(1-0.20)/n) < 0.02/4.47

sqrt(0.16/n) < 0.00448

0.4/sqrt(n) < 0.00448

sqrt(n) > 0.4/0.00448

sqrt(n) > 89.29

n > 89.29^2

n > 7975.84

Therefore, to ensure that the probability is at least 0.95 that the relative frequency estimate differs from 0.20 by less than 0.02, at least 7976 voters should be polled.

b) Using the central limit theorem, we can determine the minimum number of voters that should be polled to ensure that the probability is at least 0.95 that the sample mean differs from 0.20 by less than 0.02.

According to the central limit theorem, the sample mean follows a normal distribution with mean μ and standard deviation σ/sqrt(n), where σ is the population standard deviation (unknown in this case), and n is the sample size.

To ensure that the difference between the sample mean and 0.20 is within 0.02, we can set up the following inequality:

z * (σ/sqrt(n)) < 0.02

Since the population standard deviation σ is unknown, we can use a conservative estimate by assuming the worst-case scenario, which is p(1-p) = 0.25. Therefore, σ = sqrt(0.25) = 0.5.

Using the standard normal distribution table, we find the z-score corresponding to a cumulative probability of 0.95 to be approximately 1.96.

1.96 * (0.5/sqrt(n)) < 0.02

0.98/sqrt(n) < 0.02

sqrt(n) > 0.98/0.02

sqrt(n) > 49

n > 49^2

n > 2401

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Answer:

y=3x-1

Step-by-step explanation:

A hypothesis is an informed prediction regarding the solution to a scientific topic that is supported by sound reasoning.

1. The 95% confidence interval for the difference in mean BPM between smokers and non-smokers based on the provided data is -3.3 BPM 10.9 BPM. The mean BPMs of smokers and non-smokers do not differ considerably, however this cannot be said with certainty because the confidence interval includes both positive and negative values.

2. It cannot be said with certainty whether group smokers or non-smokers had higher mean BPM based only on the confidence interval because it contains both positive and negative values. As a result, it is unclear whether the group's mean BPM was greater in the sample.

3. The null hypothesis can not be ruled out as per confidence interval, which contains both positive and negative numbers. According to null hypothesis, there is no discernible difference among smokers and non-smokers in terms of mean BPM. Thus, the conclusion will be that there is insufficient data to support the notion that smoking and non-smoking have significantly different mean BPMs.

4. If null hypothesis is correct,  p-value indicates likelihood of receiving a result that is as extreme to or more extreme than the observed result. The precise value of p-value can not be identified since it is not included the given information. It would be necessary to determine the p-value using the proper statistical test, such as a t-test or a z-test, in order to determine if the observed difference is statistically significant.

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Answer:

26.a

27 c

28.a

Step-by-step explanation:

As a supervisor, if some freshmen cadets in your squad are struggling with a particular skill like the "about face,"

A supervisor is a person who oversees the work of others and ensures that tasks are completed efficiently and effectively. They are typically responsible for managing a team of employees and providing guidance and direction to help them achieve their goals.

Supervisors are essential in most industries, including manufacturing, retail, healthcare, education, and many others. They are often responsible for hiring and training new employees, setting performance expectations, and monitoring progress to ensure that goals are met. They may also be responsible for developing work schedules, coordinating team meetings, and handling employee conflicts.

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The new rating of 1 star lowers the mean rating of Mary's books from approximately 5.76 stars to 5.5 stars.

To determine how the new rating of 1 star will affect the mean rating of Mary's books, we need to calculate the mean rating before and after the addition of the new rating.

Before adding the new rating:

The mean rating is calculated by summing up all the ratings and dividing it by the total number of ratings. In this case, we can calculate the mean rating based on the given dot plot:

Number of books with a rating of 5: 2

Number of books with a rating of 9: 2

Number of books with a rating of 6: 1

Number of books with a rating of 7: 4

Number of books with a rating of 8: 3

Number of books with a rating of 10: 5

Total number of ratings = 2 + 2 + 1 + 4 + 3 + 5 = 17

Sum of ratings = (5 * 2) + (9 * 2) + (6 * 1) + (7 * 4) + (8 * 3) + (10 * 5) = 98

Mean rating = Sum of ratings / Total number of ratings = 98 / 17 ≈ 5.76

The mean rating before adding the new rating is approximately 5.76 stars.

After adding the new rating:

If Mary gives her latest book a rating of 1 star, we need to recalculate the mean rating by including this new rating.

Total number of ratings now becomes 17 + 1 = 18.

Sum of ratings now becomes 98 + 1 = 99.

Mean rating after adding the new rating = Sum of ratings / Total number of ratings = 99 / 18 ≈ 5.5

The new mean rating after adding the 1-star rating is approximately 5.5 stars.

Therefore, the new rating of 1 star lowers the mean rating of Mary's books from approximately 5.76 stars to 5.5 stars.

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Answer:

The maximum value of h is -1/2

Step-by-step explanation:

Since a is negative, the parabola opens downwards. Therefore, we look for the maximum value of h. We can find this by finding the x-coordinate of the vertex which is x=-b/2a=-(-4)/2(-4)=4/-8=-1/2

Therefore, the maximum value of h is -1/2

The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.

To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.

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Answer:

C2H2 + 3O2 ---> 2CO2 + 2H2O

Step-by-step explanation:

Answer:

13, -1

Step-by-step explanation:

Answer:

14 minus negative 1 that would be 14 and -1

Step-by-step explanation: