Which of the following is a solution of the inequality?

-3 < 2x + 1 < 5

7. The unit cost for a piece of fabric is $4.99 per yard including tax. You have $30 to spend on material. How many whole feet of material can you buy?

we know that

1 yard --------> cost $4.99

so

x yards ------> $30

Applying proportion or rule of three

x=30/4,99

x=6.01 yd

answer 6 yards

Answer: It's true.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

MPA is a right angle 90 + (1/2x +15) + (2x-50) = 180

                                - 90                                        -90

                                          (1/2x + 15) + (2x - 50) = 90

                                                    - 15            -50   -65

                                                              1/2x + 2x = 90

                                                         2&1/2x (2.5) = 90  

                                                                       /2.5     /2.5

                                                                            x = 36

We have the following:

As the angles are equal, that is, both 45 °, the legs will be equal, therefore, by means of the Pythagroma theorem we can calculate the measure of the legs just like this

Answer:

Step-by-step explanation:

Triangle UVW has vertices at U(−1, 0), V(−4, 1), W(−4, 4). Determine the vertices of image U′V′W′, if the preimage is rotated 90° counterclockwise.

U′(0, −1), V′(−1, −4), W′(−4, −4)

U′(0, −1), V′(1, −4), W′(4, −4)

U′(1, 0), V′(4, −1), W′(4, −4)

U′(−1, 0), V′(−4, 0), W′(4, −4)

Answer:

The plane goes 9.75 Miles/Minute

The plane goes 585 Miles/Hour

The length of the side of the square cut from the box is 7 cm.

For the given question;

The dimension  of the box is;

Length = 60 cm.

Breadth = 40 cm.

Then the area of the base of the rectangular box before cutting is;

Area =  length×breadth

Area = 60 × 40

Area = 2400 cm².

Let the side of the square cut be 'x'

Then the area of one square is x².

As, square is being cut from each corner, thus the total area will be; 4x².

The area of resulting base after square is cut is 2204 cm².

Thus, the area of cut square = old area - resulting area

Area cut = 2400 - 2204

Area cut = 196

Thus, Area cut = total area of 4 square.

Area cut = 4x²

4x² = 196

On solving;

x = 7.

Thus, the length of each square cut from the rectangle is 7 cm.

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The difference in length between the longest ski trail and the shortest ski trail is 7/4.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Length of the longest ski trail = 3 1/8 = 25/8

Length of the shortest ski trail = 1 3/8 = 11/8

Difference in length between the longest ski trail and the shortest ski trail:

= 25/8 - 11/8

= 14/8

= 7/4

Thus, the difference in length between the longest ski trail and the shortest ski trail is 7/4.

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Answer:

27,735

Step-by-step explanation:

43*43=1849

1849*15=27,735

Answer:

Step-by-step explanation:

15 times 43^2

15 × 43² =

15 × 1849 =

27735

Answer:

7^15

Step-by-step explanation:

7^5^3 = 7^(5*3) = 7^15

Answer:

Step-by-step explanation:

When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean. True or false?

This statement is false, or better still, ambiguous. 100 samples of size 30 (or greater) each, means 300 total and it can't be just 95 of them that will contain the true population mean.

Answer:

13, 18, 72

Step-by-step explanation:

let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.

set up an equation, and make it equal to 103:

x-5+x+4x=103

solve:

6x-5=103

6x=108

x=18

so, the third number is 18.

the first number is equal to x-5, so:

18-5=13

the second number is equal to 4x, so:

4(18)=72

so, the three numbers are 13, 18, and 72.

Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Answer:

1. Vertex-M sides- LM MN

2. Vertex-D sides- ED CD

3. Vertex-R sides- SR RQ

4. Vertex-T sides- ST TU

5. angle 3 angle D angle CDE

6. angle 4 angle F angle GFE

7. angle 1 angle F angle GFE

8. angle 3 angle I angle HIJ

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

-9

Hope this helps!

Answer:

multiply all of them then add all of them then divide by the lowest number

12:1 is the scale factor

3.5 ÷ 3.5 = 1 and 142 ÷ 3.5 =123.5 so 42:123.5 ratio simplified is 12:1

Looking at the question, to find the scale factor we are going to divide 42 by 3.5 which is 12. To check our work we will do 1 times 3.5 which is 42.

Why is it not 147:1? Well, scale factoring means that in two similar geometric figures, the scale factor is the ratio of their corresponding sides, dividing the two corresponding lengths of the sides will gives the ratio

To check go to:

https://www.ginifab.com/feeds/cm_to_inch/scale_factor_calculator.html

—————

Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

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The 6 numbers for the given probabilities can be:

(2, 4, 5, 6, 7, 8)

There are 6 numbers, we know that:

probability of any event = (outcomes that meet the event)/6

Then, if:

probability of an even number = 2/3 = 4/6

This means that there are 4 even numbers.

if:

P Number chosen is less than 5  = 1/3 = 2/6

There are 2 numbers less than 6.

And there is a 50% of gettting a prime, so there are two primes.

Then the 6 numbers could be:

(2, 4, 5, 6, 7, 8)

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The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

The y-coordinate of point A is \(\sqrt{3}\).  

Step-by-step explanation:

The equation of the circle is represented by the following expression:

\((x-h)^{2}+(y-k)^{2} = r^{2}\) (1)

Where:

\(x\) - Independent variable.

\(y\) - Dependent variable.

\(h\), \(k\) - Coordinates of the center of the circle.

\(r\) - Radius of the circle.

If we know that \(h = 0\), \(k = 0\) and \(r = 2\), then the equation of the circle is:

\(x^{2} + y^{2} = 4\) (1b)

Then, we clear \(y\) within (1b):

\(y^{2} = 4 - x^{2}\)

\(y = \pm \sqrt{4-x^{2}}\) (2)

If we know that \(x = 1\), then the y-coordinate of point A is:

\(y = \sqrt{4-1^{2}}\)

\(y = \sqrt{3}\)

The y-coordinate of point A is \(\sqrt{3}\).  

The probability that the student chosen at random was male OR got an "A" is 31/58.

To find the probability that the student was male OR got an "A," we need to calculate the probability of each event separately and then add them together.

Let's calculate the probability of the student being male:

Total number of males = 11

Total number of students = 58

Probability of the student being male = Number of males / Total number of students = 11/58

Now, let's calculate the probability of the student getting an "A":

Total number of students who got an "A" = 20

Probability of the student getting an "A" = Number of students who got an "A" / Total number of students = 20/58

To find the probability of the student being male OR getting an "A," we add the two probabilities together:

Probability (Male OR A) = Probability (Male) + Probability (A) = 11/58 + 20/58 = 31/58

Therefore, the probability that the student chosen at random was male OR got an "A" is 31/58.

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The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Answer:

C. P(x) = -0.6x3 + 300x^2 – 700x + 600

Step-by-step explanation:

The profit function is P(x) = -0.6x³ + 300x² - 700x + 600.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given,

Cost function, C(x) = 500x² + 400x

Revenue function, R(x) = -0.6x³ + 800x² - 300x + 600

Profit is the difference between the revenue and the cost.

Profit function is therefore the difference of revenue function and the cost function.

P(x) = R(x) - C(x)

P(x) = (-0.6x³ + 800x² - 300x + 600) - (500x² + 400x)

      = -0.6x³ + 800x² - 300x + 600 - 500x² - 400x

      = (-0.6x³) + (800x² - 500x²) + ( - 300x - 400x) + 600

      = -0.6x³ + 300x² - 700x + 600

Hence the profit function of the granola bar company is P(x) = -0.6x³ + 300x² - 700x + 600.

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Answer:

The possible outcomes are 1728.

Step-by-step explanation:

Consider the provided information.

We know that there are 12 months in a year and we have 3 people in a room.

As the order is important it means for each person we have 12 choices of the months.

The possible outcomes are: \(12\times12\times12=1728\)

Hence, the possible outcomes are 1728.

Answer:

the answer to this is c no association.

Answer:

C

Step-by-step explanation:

The scatter plot doesn't look linear at all. Therefore, there is no association to game attendance and games won.

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

the question isnt clear

Step-by-step explanation:

Answer:

a) 0.16

b) 100.00

c) 0.001

d) 16.00