Use the table to answer questions 1 and 2.
X
у
1
103
2
105
3
107
4
109
1. The function represented in the table
is linear. How do you know?
2. What would be the 5th term in the
sequence associated with the table?
OUTSIDE

Answer:

F distribution test

Step-by-step explanation:

He would use the F distribution test. This test is used in comparing the variances of two categorical variables if they are equal. The null hypothesis is rejected if after carrying out the test the results states otherwise.

Answer:

a. The angles in the picture are: a, 2a, 2a, 3a, 3a, 4a, 4a, 5a.

Step-by-step explanation:

It is proved that m = √n.

To prove that given a nonnegative integer n, there is a unique nonnegative integer m, we just need to take the square root of the given equation:

m^2 ≤ n < (m + 1)^2.

So, after taking the square root, it will be:

m ≤ √n < m + 1

From that we can see m = √n is the unique m.

A nonnegative integer is an integer which is either positive or zero. It is the union of the natural numbers and the number zero. Occasionally, it is referred to as Z*, and it can be described as the set {0, 1, 2, 3, 4, 5, …}. In other words, nonnegative integers are integers that are not negative.

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Although part of your question is missing, you might be referring to this full question: Prove that given a nonnegative integer n, there is a unique nonnegative integer m such that m^2 ≤ n < (m+1)^2.

Answer:

28.26

Step-by-step explanation:

The question gives the first three digits of π, which is 3.14, and it gives us the radius, which is 3. So, just substitute them into the formula and you’ll get 3.14(3^2). Solve it and the final answer is 28.26.

Hope this helps! :)

Answer:3

Step-by-step explanation:

The Area of rectangle is 48 unit²

We have the graph from which we can write

width of rectangle = 8 unit

Length of rectangle= 6 unit

So, the area of rectangle

= lw

= 8 x 6

= 48 unit²

Thus, the Required Area is 48 unit².

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The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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Answer:

Yes by ASA (angle side angle)

Step-by-step explanation:

Answer:

Yes by ASA criterion which means if two triangles are congruent any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

Step-by-step explanation:

Answer:I believe it is at least that is what I would

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

This is because 6f+f is just 7f.

f f f f f f+f = fffffff

Soooo, ONLY A gives us 7f when added together again.

f+5f+f=7f.

f+ f f f f f +f = fffffff

Answer:

\(f + 5f + f\) is equivalent to \(6f + f\).

Step-by-step explanation:

You can plug in any numbers to both expressions and they will always have the same outcome.

For example, let's plug in 2.

\(6f + f\\6(2) + 2\\12 + 2 = 14\)

\(f + 5f + f\\2 + 5(2) + 2\\2+10+2 = 14\)

Hope this helps! :)

The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..

A vending machine automatically pours soft drinks into cups.

The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.

Examine figure 7.- and answer the following questions.

a) estimate the probability that the machine will overflow an 8oz cup.

Procedure:

Determine the z-score for 8

z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1

P(x>8) = P(z>1) = 0.1587..

-----------------------

b) Estimate the probability that the machine will not overflow an 8oz cup.

P(z<1) = 1 - 0.1587 = 0.8413..

-----------------

c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

0.1587*850 = 134.857..; Rounded down you get 134 cups

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Answer:

Sorry i cant solve it without the math equation but heres something to help solve!

Step-by-step explanation:

To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have

–1 –1

–1 –1

–1 –1

Two groups of negative one in three's, adding that up we have 6.

Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.

9514 1404 393

Answer:

  E.  The new volume is 27 times the old volume

Step-by-step explanation:

If L, W, and H are the original length, width, and height, then the original volume is ...

  V = LWH

The volume after the scale factor is applied is ...

  V' = L'W'H' = (3L)(3W)(3H) = 27LWH = 27V

The new volume is 27 times the old volume.

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

      ---------------------------------

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

Answer:

\(35 \, \textrm{units}^2\)

Step-by-step explanation:

We can represent the area of the shaded region as:

Area of shaded region = Area of big rectangle − Area of small rectangle

\(A_{\textrm{shaded}} = A_{\textrm{big rectangle}} - A_{\textrm{small rectangle}}\)

Now, we can input the areas of the rectangles and solve for \(A_{\textrm{shaded}}\).

\(A_{\textrm{shaded}} = [(2+5) \cdot (7+3)] - (5 \cdot 7)\)

\(A_{\textrm{shaded}} = (7 \cdot 10) - (5 \cdot 7)\)

\(A_{\textrm{shaded}} = 70 - 35\)

\(A_{\textrm{shaded}} = 35 \, \textrm{units}^2\)

So, the area of the shaded region is 35 square units.

Therefore , the solution of the given problem of equation comes out to be slope of 1 and a y-intercept of -1, passing through the points (-3, -4) and (1, 0).

Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this case, leveling generates b + 7 rather than another algorithm that could analyze data provided by y + 7, split 12 into two parts, and create y + 7.

Here,

This linear relationship's expression can be found by first determining the slope using the following formula:

=> slope = (y-change) / (change in x)

=> slope = (2 - (-2)) / (4 - 0) = 4/4 = 1

Consequently, the line's inclination is 1. We can now determine the equation using the point-slope form of a line's equation:

=> y - y1 = m(x - x1)

where (x1, y1) is a location on the line and m denotes the slope. We have a choice between the two points provided, so let's use (0, -2):

=> y - (-2) = 1(x - 0)

=> y + 2 = x

By taking 2 away from both edges, we arrive at:

=> y = x - 2

slope = (0 - (-4)) / (1 - (-3)) = 4/4 = 1

=> y - y1 = m(x - x1)

=> y - (-4) = 1(x - (-3))

=> y + 4 = x + 3

=> y = x - 1

A line with a slope of 1 and a y-intercept of -1, passing through the points (-3, -4) and (1, 0), represents the graph of this linear connection.

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Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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The hip breadth for males that separates the smallest 99% from the largest 1% is determined to be 17.03 inches using the Z-score formula and percentile calculations.

According to the question, the engineers want to design seats in commercial aircraft that can accommodate at least 99% of all males. The mean and standard deviation of male hip breadth are 14.9 in. and 1.1 in., respectively.

To determine P99, we need to find the hip breadth for males that separates the smallest 99% from the largest 1%. The value of P99 can be determined using the Z-score formula, which is given by Z = (X - μ)/σ where X is the raw score, μ is the mean, σ is the standard deviation and Z is the standard score.

Since we are looking for the hip breadth for males that separates the smallest 99% from the largest 1%, we need to find the Z-score for the 99th percentile.

Using a Z-score table, we can find that the Z-score for the 99th percentile is 2.33. Substituting the given values into the Z-score formula, we get 2.33 = (X - 14.9)/1.1. Solving for X, we get:X = 2.33(1.1) + 14.9 = 17.03 inches

Therefore, the hip breadth for men that separates the smallest 99% from the largest 1% is 17.03 inches.

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Step-by-step explanation:

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The probability of winning a prize remains the same for,

e. n = 10 or n=20 or n = 100; the probabilities are the same.

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).

From the information we get,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

∴ \(P(x = 3) = ^{10}C_3p^7q^3\).

\(P(x = 3) = ^{10}C_3(0.5)^7(0.5)^3\).

P(x = 3) = 120×0.0078×0.125.

P(x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value as all the 'n's are multiple of 10 and we'll have the same probability.

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Answer:

32

Step-by-step explanation:

Answer:

6  2/3 inches

Step-by-step explanation:

2 inches / 6 feet   * 20 feet = 6 2/3 inches

Answer: x=-3/4

Step-by-step explanation:

Since we know f(x)=6, we can set it equal to the equation.

6=9+4x           [subtract 9 on both sides]

-3=4x              [divide both sides by 4]

x=-3/4

The side of big square is 10 feet.

The area of square is

Hence the area is

The side of the small sqaure is 5 feet.

Its area is

Hence the area of remaining portion is 100-25=75.

The answer is 3) 75 ft^2.

Answer:

Aircraft A: 403 seats

Aircraft B: 298 seats

Step-by-step explanation:

Let's x represent the seats in Aircraft B

We have the equations:

Aircraft A: (x + 105)

Aircraft B: x

We Know

Their total number of seats is 701; find the number of seats for each aircraft.

We Take

x + (x + 105) = 701

2x + 105 = 701

2x = 596

x = 298 seats

So, there are 298 seats in Aircraft B

Aircraft A has how many seats?

We Take

701 - 298 = 403 seats

So, there are 403 seats in Aircraft A

Final Answers:

Aircraft A: 403 seats

Aircraft B: 298 seats

Answer:

2x+10

Step-by-step explanation:

We have 2(5+x)

=10+2x

or

2x+10

Answer:

Step-by-step explanation: 2(5+x)

904.32 is the volume.

Volume of sphere

= (4/3)πr³

= (4/3) × 3.14 × (6cm)³

= (4/3) × 3.14 × 6cm × 6cm × 6cm

= 4 × 3.14 × 2cm × 6cm × 6cm

= 904.32 cm³

Answer:

IT IS EASY FORMULAE OF SPHERE IS 4/3πr³ so,

Step-by-step explanation:

                                                    put the value,

                                              =   4/3 * 3.14 *  6³

                                              =  1.333 * 3.14 * 216

                                              =  4.18562 * 216

                                               =  904.09 cm³ ans

The distance traveled during the given time interval be 2024 m.

An object's rate of change in velocity is referred to as its acceleration. The rate of change in velocity is known as acceleration. Acceleration typically signals a change in speed, though this is not always the case. Because of the shifting direction of its velocity, an item moving on a circular path at a constant speed is still accelerating.

By integrating the velocity v in terms of time t, v = gt, we can determine acceleration, which is the rate of change of velocity with respect to time.

Let the function be a(t) = t + 4

time = 11

substitute the value of t in the above equation, we get

a(11) = 11 + 6 = 17 m/s²

a = v/t, so v = at

finally v = (17 m/s²) (11s)

v = 187 m/s

b) Find the distance traveled during the given time interval

\($$V_{total} = V_{final} - V_{ initial\)

V final = 187 m/s, Vinitial = 3 m/s

V total = 187 - 3 = 184 m/s

Let the equation of velocity be

Velocity = distance/time

distance = velocity × time

distance = 184 m/s × 11 s

distance = 2024 m

Therefore, the distance traveled during the given time interval be 2024 m.

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