2. Write a quadratic function with zeros at 6 and -2.

The percentage of cities with pollution index between 13.0 and 58.5 is 95%

Given that :

Mean = 35.9

Mean = 35.9Standard deviation = 11.6

The percentage of of the cities with pollution index between 13.0 and 58.5 points can be calculated thus :

Calculate the Zscore of both pollution index given :

Zscore = (x - mean) / standard deviation

x = raw score

For x = 13.0

Zscore = (13 - 35.9) / 11.6

Zscore = - 1.974

P(Z < - 1.974) = 0.024191

For x = 58.5

Zscore = (58.5 - 35.9) / 11.6

Zscore = - 1.948

P(Z < - 1.948) = 0.97429

The percentage of cities with pollution index between 13.0 and 58.5 :

P(Z < 1.948) - P(Z < - 1.974)

0.97429 - 0.024191 = 0.9500

0.9500 × 100 = 95%

Hence, The percentage of cities with pollution index between 13.0 and 58.5 is 95%

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Answer:

Your answer is C.125,000

Step-by-step explanation:

The number of scholarships that pay for both books and meals is 1.

To solve this problem, we need to use the concept of set intersection. Let B be the set of scholarships that pay for books, and M be the set of scholarships that include a meal ticket. We want to find the number of scholarships that pay for both books and meals, which is the size of the set intersection B ∩ M.

From the problem statement, we know that:

|B| = 7 (seven scholarships pay for books)

|M| = 4 (four scholarships include a meal ticket)

We can use the inclusion-exclusion principle to find |B ∩ M|:

|B ∩ M| = |B| + |M| - |B U M|

We need to find the size of the union of the sets B and M, which includes all scholarships that pay for books, all scholarships that include a meal ticket, and possibly some scholarships that pay for both. From the problem statement, we know that there are two scholarships that exclude both meals and books, so we can subtract that from the union:

|B U M| = |B| + |M| - |B ∩ M| + 2

Substituting the known values, we get:

|B ∩ M| = |B| + |M| - |B U M| + 2

|B ∩ M| = 7 + 4 - (7 + 4 - |B ∩ M| + 2) + 2

|B ∩ M| = 1 + |B ∩ M|

Solving for |B ∩ M|, we get

|B ∩ M| = 1

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The given question is incomplete, the complete question is:

A student applies for ten different scholarships to various universities. seven of the scholarships pay for books. four scholarships include a meal ticket. two of the scholarships exclude meals and books. how many scholarships pay for both books and meals?

The least amount of money you would need to invest per month is; $335

The anticipated rate of return on your investments is; 7%

Number of years of savings = 10 years.

There are 12 months in a year. Number of months in 10 years = 10 × 12 = 120 months.

Thus;

Monthly savings ≈ $335

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Answer:

The number must be between 80 and 83.666002653408

Step-by-step explanation:

The square root of 6400 is 80 and the square root of 7000 is 83.666002653408 so it would be between those numbers.

Answer: 20

Step-by-step explanation:

where do 5 and 20 meet at the first time, 5, 10, 15, 20, so 20 would be the lcm

Answer: 20

Step-by-step explanation:

The least common multiple (LCM) for 5 and 20 will be 20. This is because if you times 5 by 4, you will get 20. Your other number is already 20 so you don't have to touch that number.

The statement that describes when the plans are based on the same number of aerobic exercise sessions is:

The number of strength-training exercises and aerobic exercises per week is calculated as follows:

Let a be the number of strength-training exercises and b be the number of aerobic exercises per week respectively.

For the beginner plan:

15a + 20b = 90  eqn. (1)

For the advanced plan:

20a + 30b = 130 eqn. (2)

Solving the simultaneous equation by elimination method:

Multiply eqn. (1) by 3 and eqn. (2) by 2

45a + 60b = 270 eqn. (3)

40a + 60b = 260 eqn. (4)

Subtract eqn. (4) from eqn. (3)

5a = 10

a = 2

Substitute a = 2 in eqn (2)

b = 3

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Complete question:

A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.

Which statement describes when the plans are based on the same number of aerobic exercise sessions?

Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.

Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.

Answer: the answer is x=−2

Answer:

the answer is x= -2

Step-by-step explanation:

negative two

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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The man is ignoring a 'folkway', an informal social rule or norm that suggests individuals should not join another person's table in a restaurant unless it is busy or they have asked for permission.

The unspoken rule that the man is ignoring is termed as a folkway. Folkways are informal rules and norms that, while not enshrined in law or official regulation, are typically followed in social settings to maintain order and decorum. In this case, the common understanding or folkway being broken is the norm of not joining someone else's table at a restaurant, unless the restaurant is busy or permission is asked.

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Answer:

-12

Step-by-step explanation:

multiplication

Answer:

-12

Step-by-step explanation:

-4 x -1 x -3

4 x -3

=-12

The number of overtime hours that James worked is gotten as; 7 hours

We are given;

Hourly rate per week = $12.50 per hour

Thus, total earned for the first 40 hours' = 12.5 * 40 = $500

Now, we are told he earns double of that rate for any hours worked after the 40 hours. Thus, if he earned a total of $675 for the week and the extra hours is denoted by x, then we have;

500 + 2(12.5x) = 675

675 - 500 = 25x

175 = 25x

x = 25/175

x = 7 hours

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now, assuming it's asking for its equation.

\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{- \cfrac{5}{2}}(x-\stackrel{x_1}{(-1)}) \implies y +2 = - \cfrac{5}{2} ( x +1) \\\\\\ y+2=- \cfrac{5}{2}x-\cfrac{5}{2}\implies y=- \cfrac{5}{2}x- \cfrac{5}{2}-2\implies {\Large \begin{array}{llll} y=- \cfrac{5}{2}x- \cfrac{9}{2} \end{array}}\)

Answer:

-11/16

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of \(\frac{15}{32} ,\frac{7}{31}\) In other words, find the Least Common Multiple (LCM) of 32,31.

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 32: 31,64,96,... 928, 960 ,992,...

Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 992

Method 2: By Prime Factors

1. List the prime factors of each number.

Prime Factors of 32: 2,2,2,2,2

Prime Factors of 31: 31

2.  Find the union of these primes.

2,2,2,2,2,31

3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.

LCM = 992

2) Make the denominators the same as the LCD.

\(-\frac{15*31}{32*31} +\frac{7*32}{31*32}\)

3) Simplify. Denominators are now the same.

\(-\frac{465}{992} +\frac{224}{992}\)

4) Join the denominators.

\(\frac{-465+224}{992}\)

5) Simplify

\(-\frac{241}{992}\)

Decimal Form: -0.242944

Answer:

7x < 60

Step-by-step explanation:

Answer:

x^2 + 3x

Step-by-step explanation:

Just add like terms:

(f + g)(x) = 3x - 1 + x^2 + 1.  Notice that you must use " ^ " or equivalent to denote exponentiation.

(f + g)(x) =      3x - 1 + x^2 + 1 = x^2 + 3x + 1 - 1

(f + g)(x) =      3x - 1 + x^2 + 1 = x^2 + 3x

Step-by-step explanation:

a ) 19 + 7 = 26

26 ÷ 2 = 13

13 - 5 = 8 ans

b) (19+7/2)-5

\(( \frac{19 + 7}{2} ) - 5\)

hope this answer helps you dear...

Answer:

Step-by-step explanation:

weight = (volume of block - volume of slots) x density of block

           = (30 * 20 * 9) - (2 x (10 * 8 * 9)) x 1.7

            = (5400 - 1440) x 1.7

           = 8,568

Volume is a three-dimensional scalar quantity. The correct option is D, 8568 grams.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the complete block is,

Volume = 36 cm x 20 cm x 9 cm = 6480 cm³

The volume of the opening is,

Volume of the opening = 2 × 10 cm x 8 cm × 9cm = 1440 cm³

Therefore, the weight of the cement block to the nearest gram is,

Weight = (6480 -1440)cm³ × 1.7 gram/cm³

            = 8568 grams

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Answer:

∠VXW = 57°

∠XVW = 56°

Step-by-step explanation:

Firstly, we need to remember the sum of a triangle's angle ALWAYS equals 180°.

Next, we see that two angles of △XYZ are given to us; 58° and 65°. Adding these two numbers would give us 123°. Now we need to subtract 123 from 180  to find the ∠YXZ; 180° - 123° = 57°.

Once we have this number, we need to remember a straight line also measures 180°. Line YW is important to find our answer, but first we need to find the answer to ∠WXZ. Since ∠YXZ and ∠WXZ come together and create the line YW, we can easily find the answer to ∠WXZ by subtracting ∠YXZ with 180; 180° - 57° = 123°

Now we need to find ∠VXW keeping the previous things I mentioned in mind; 180° - 123° = 57°. This is the answer to our first angle ∠VXW.

Since a triangle's angles always equal to 180° and we have the answer to two angles in △XVW, all we need to do is add then subtract;

67° + 57° = 124°

180° - 124° = 56°

And that is your answer!

∠VXW = 57°

∠XVW = 56°

Answer:

\(\boxed{-3}\)

Step-by-step explanation:

The slope-intercept form of an equation is determined by the constant equation \(y=mx+b\) where \(m\) is the slope and \(b\) is the y-intercept of the line.

Therefore, we can use the equation given and implement it to find your slope.

\(y=-3x\)

Our equation does not have a y-intercept, \(b\). Therefore, it can just be inferred as \(+0\).

Because we do have a \(m\), we can then find out what our slope is: \(\boxed{-3}\).

To solve for m, we first subtract 1.60m from both sides to get

Finally, dividing both sides by 1.60 gives

which is our answer!

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve :

Answer:

Step-by-step explanation:

i think he is asking

(b+1)³-(b-1)

=b³+1³+3b*1(b+1)-b+1

=b³+1+3b²+3b-b+1

=b³+3b²+2b+2

Answer:

2

Step-by-step explanation:

Two angles are congruent, and one side is congruent in the pair of triangles, option 2.

Answer:

2 should be the answer

Step-by-step explanation:

since two angles are equal and one side in equal you can write triangle ABC=TAY by angle angle side axiom

The three objects that make up the Alpha Centauri system are all stars. These stars are composed of hot, burning gases, and they rotate on their own axes as they produce light. Alpha Centauri is located an average of 4 light-years away from Earth, making it a bright object visible in the Milky Way galaxy.

The Alpha Centauri system is composed of three objects, which are all stars. These stars are composed of hot burning gases, and each star rotates on its own axis. In other words, each star is spinning around its own center of gravity. As these stars spin, they produce light, which is why Alpha Centauri can be seen from Earth, even though it is an average of 4 light-years away from us. This light is what makes Alpha Centauri appear as a bright object in our Milky Way galaxy. Alpha Centauri is actually the closest star system to our own Solar System, making it a very important celestial object to astronomers and scientists. Alpha Centauri is also of particular interest to astronomers and scientists because of the possibility that planets may exist within the system. If planets do exist, it would make Alpha Centauri an even more exciting and interesting celestial object to study.

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The correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct. The probability P(X > 18) is related to P(X < 18) in such a way that: P(X > 18) is the same as 1 − P(X < 18).

Explanation:

The mean length of a certain product X is μ = 18 inches.

As we know that the length of a certain product X is normally distributed.

So, we can conclude that: Z = (X - μ) / σ, where Z is the standard normal random variable.

Let's find the probability of X > 18 using the standard normal distribution table:

P(X > 18) = P(Z > (18 - μ) / σ)P(Z > (18 - 18) / σ) = P(Z > 0) = 0.5

Therefore, P(X > 18) = 0.5

Using the complement rule, the probability of X < 18 can be obtained:

P(X < 18) = 1 - P(X > 18)P(X < 18) = 1 - 0.5P(X < 18) = 0.5

Therefore, the probability P(X > 18) is the same as P(X < 18).

Hence, the correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct.

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The formula for the area of a trapezoid is given as, a = 1/2 h (a + b) Where, a and b are the measures of two bases of the trapezoid and h is the height of the trapezoid. The area of the trapezoid is given as 24 square inches and the two bases of the trapezoid measure 4 inches and 6 inches.

We need to find the height of the trapezoid. Using the given formula, we can find the height of the trapezoid as below: 24 = 1/2 h (4 + 6)

Simplifying the above expression, we get: 24 = 5h

Hence, the height of the trapezoid is 24/5 or 4.8 inches.

Trapezoid is a quadrilateral with only one pair of parallel sides. The bases of the trapezoid are those parallel sides and the height of the trapezoid is the perpendicular distance between the two bases. In this question, the area of the trapezoid is given as 24 square inches and the two bases of the trapezoid measure 4 inches and 6 inches. We need to find the height of the trapezoid.

Simplifying the above expression, we get:24 = 5h

Hence, the height of the trapezoid is 24/5 or 4.8 inches.

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Answer:

Is this an incomplete question?

Answer:

this isnt a question???

Step-by-step explanation: