The converse of p_ q is:

Answer:

780 students

Step-by-step explanation:

Take 40% as 0.4

Then do 312÷0.4= 780 students

Answer: 780

Step-by-step explanation:

Let x be total of the students in the school.

Then ,this X is equivalent to 100%

So, 40=312 what about 100

This gives you 780

Answer:

a)

Step-by-step explanation:

he drives every workday of the week 10 miles for work.

that is 5 data every week. so the total miles driven for work during the week is

5×10 = 50 miles.

he can drive with a full tank 100 miles.

so, the remaining miles for the weekend are

100 - 5×10 = 50 miles

Answer:

answer is 2

Step-by-step explanation:

as you know the speed is calculated by dividing the distance travelled by time spent (s=d/t)

so we can write this as d/t=100

when u make d as the subject u get d=100t

Answer:

 = 9

Step-by-step explanation:

Slope  = (y1-y2)/(x1-x2)

           = -12-6/4-6

           =  -18/-2

           = 9

The percentage increase in the diameter of the drain pipe necessary to enable it to carry 60 litres per second is  28.87%.

Given that the carrying capacity is directly proportional to the area, we can write:

C1 ∝ A1 = πr₁²

Since the carrying capacity is directly proportional to the area, we have:

C2 ∝ A2 = πr₂²

To find the percentage increase in diameter, we need to find the ratio of the increased area to the initial area and then express it as a percentage. Let's calculate this ratio:

(A2 - A1) / A1 = (πr₂² - πr₁²) / (πr₁²) = (r₂² - r₁²) / r₁²

We can also express the ratio of the increased carrying capacity to the initial carrying capacity:

(C2 - C1) / C1 = (60 - 36) / 36 = 24 / 36 = 2 / 3

Since the area and the carrying capacity are directly proportional, the ratios should be equal:

(r₂² - r₁²) / r₁² = 2 / 3

Now, let's substitute r = D/2 in the equation:

((D₂/2)² - (D₁/2)²) / (D₁/2)² = 2 / 3

(D₂² - D₁²) / D₁² = 2 / 3

Cross-multiplying:

3(D₂² - D₁²) = 2D₁²

3D₂² - 3D₁² = 2D₁²

3D₂² = 5D₁²

Dividing by D₁²:

3(D₂² / D₁²) = 5

(D₂² / D₁²) = 5 / 3

Taking the square root of both sides:

D₂ / D₁ = √(5/3)

To find the percentage increase in diameter, we subtract 1 from the ratio and express it as a percentage:

Percentage increase = (D₂ / D₁ - 1) × 100

Percentage increase = (√(5/3) - 1) × 100

Percentage increase = 28.87%

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Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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The given pdf is not valid, and it cannot represent a probability distribution.

The given probability density function (pdf) for X is:

f(x; θ) = (0 + 1) * x for 0 ≤ x ≤ 1

0 otherwise

Here, θ represents a parameter in the pdf, and we are given that -1 < θ.

To ensure that the pdf is valid, it needs to satisfy two properties: non-negativity and integration over the entire sample space equal to 1.

First, let's check if the pdf is non-negative. In this case, for 0 ≤ x ≤ 1, the function (0 + 1) * x is always non-negative. And for values outside that range, the function is defined as 0, which is also non-negative. So, the pdf satisfies the non-negativity property.

Next, let's check if the pdf integrates to 1 over the entire sample space. We need to calculate the integral of the pdf from 0 to 1:

∫[0,1] (0 + 1) * x dx

Integrating the function, we get:

[0.5 * x^2] evaluated from 0 to 1

= 0.5 * (1^2) - 0.5 * (0^2)

= 0.5

Since the integral of the pdf over the entire sample space is 0.5, which is not equal to 1, the given pdf is not a valid probability density function. It does not satisfy the requirement of integrating to 1.

Therefore, the given pdf is not valid, and it cannot represent a probability distribution.

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As per the sampling technique, consider the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.

The sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.

Here for the given question, let us check all the given statements in the options

Here we know that the shape is approximately normal. Then the given option will be false.

Next, it is the collection of all samples taken from the population, So the given option will be false

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Now, the sample size increases, the value of n increases. where n is the value on the denominator of the equation of standard deviation.

Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.

Then the less standard deviation means a small variance.

Therefore, as a result, as the sample size grows, the variation will be minimal.

So, the center is the same as the sample proportion p.

Therefore, this is correct.

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Answer:

x = 6/4, or x = 3/2, OR x = 1 1/2

Step-by-step explanation:

5x - [7 - (2x-1)] = 3(x-5) + 4(x+3)

Pick one side to work on first, I will chose the right side,

Distribute on the right side.

5x - [7 - (2x-1)] = 3x - 15 + 4x + 3

Now, add like terms on the right side.

5x - [7 - (2x-1)] = 7x - 12

Now, to isolate 7 - (2x -1), subtract 5x from both sides.

so now,

-7 - (2x-1) = 2x - 12

Now, we can add 7 to both sides of the equation to isolate -(2x-1)

we add instead of subtract because the seven is a negative.

-(2x-1) = 2x - 5

Now, there is still a negative sign in front of the (2x-1), so we distribute the - to the equation.

-2x + 1 = 2x - 5

Now, we can isolate the variable and numbers bu adding five to both sides, and adding 2 to both sides. This is to make the equation easier by removing any negative terms.

6 = 4x

Divide both sides by 4

x = 6/4, or x = 3/2, OR x = 1 1/2

The given sentence about polygon is true.

A statement is given in the question.

We have to tell whether the statement is true or false.

What is a polygon ?

A polygon is a two-dimensional geometric figure that has a finite number of sides i.e., triangle has three sides.

As per the question ;

The statement given is , "An included side is the side located between two consecutive angles of a polygon."

Let's check whether it is true or false ;

We know that ,

Included side is one which links two angles together.

For example in a right angle triangle ABC ;

Side (base) AC links two angles one a right angle at A and other angle at C.

So ,

We can conclude that the given statement is true i.e., an included side is located between two consecutive angles of a polygon.

Thus , the given statement about polygon is true.

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The solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

The expression is given as:

one half cubed − 2 ÷ square root of 64

Rewrite the expression properly as follows:

(1/2)^3 − 2/√64

Take the square root of 64

(1/2)^3 − 2/8

Evaluate the quotient of 2 and 8

(1/2)^3 − 1/4

Take the cube of 1/2

1/8 - 1/4

Evaluate the difference

-1/8

Hence, the solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

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- 1/8

Step-by-step explanation:

hope this helps

Answer:

b) The quadratic equation has two distinct real number roots.

Step-by-step explanation:

Rule: If the discriminant (\(b^2 - 4ac\)) :

is = 0, one root

is > 0, 2 real roots

is < 0, 0 real root, 2 complex roots.

   -The reason is because complex numbers include imaginary numbers, which occur when you try to calculate the square root of a negative number.

Lets find the discriminant.

a: 9

b: 3

c: -2

Plug into the formula.

(3)^2 - 4(9)(-2)

Simplify.

9 + 72

81

Because the discriminant (81) is greater than 0, it has 2 real number roots.

Answer: 9 bookcases

Step-by-step explanation:

943 / 22 = 42.9 = 43 shelves

The number of books that are on the third shelf of the last bookcase is 43/5 = 8.6 = 9 bookcases

There are nine bookcases on the third self.

Answer:

16c - 48

Step-by-step explanation:

combine like terms : 18c - 2c - 49 + 1

then you get              16c - 48

Answer:

She rented the table for 6 months

Answer:100 - 550= 440 than 75 x 12 is 900 so she will need 460 dollars left to completely rent the table.

Step-by-step explanation:

Purpose of having a supplier scorecard A supplier scorecard is a tool that is used to evaluate the performance of suppliers and to monitor their progress. It helps in the assessment of how well the suppliers are meeting the needs of the buyers and it helps the buyers to decide which suppliers they should continue to work with in the future.

The purpose of having a supplier scorecard is to evaluate the suppliers' performance in terms of quality, delivery, price, and customer service, and to monitor their progress over time. The scorecard can be used to identify areas where suppliers are excelling and areas where they need to improve. Analysis of the current scorecard and concerns Emily’s concern is that the current scorecard is too simplistic and does not provide enough information to make informed decisions about suppliers. The concerns with the current scorecard are that it is too simplistic and does not provide enough information about the supplier's performance. Analysis of the proposed scorecard and its adequacy The proposed scorecard addresses Emily's concerns by providing more detailed information about the supplier's performance in specific areas.

It also includes more metrics for evaluating the supplier's performance. Differences between the current scorecard and the proposed scorecard The proposed scorecard is more detailed and includes more metrics than the current scorecard. It provides more information about the supplier's performance in specific areas. How suppliers will react to the proposed scorecard and the dynamics of the buyer-supplier relationship Suppliers may react negatively to the proposed scorecard if they feel that it is too strict or unfair. The scorecard may change the dynamics of the buyer-supplier relationship by putting more pressure on suppliers to meet certain standards. Potential options, recommendations, and actionSome potential options and recommendations for improving the scorecard include adding more metrics, providing more detailed feedback to suppliers, and revising the scoring system to make it more accurate and fair.

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Answer:

Step-by-step explanation:

63 hours

hope it helps

Answer:

a little more than 16 1/2 hours but you should round it up to 17 hours

Step-by-step explanation:

If she can only work hours and not half hours or anything, the answer would be 17 hours and she will have a little more than $900 because 16 hours would be too little time.

(sorry if this is confusing but i hope it helped)

Value of (f+g)(x) = 7x² + 12x - 9

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given function

f(x) = 6x² + 12x - 6

g(x) = x² - 3

(f+g)x = f(x) + g(x)

= 6x² + 12x - 6 + x² -3

adding like terms

= 7x² + 12x - 9

Hence, 7x² + 12x - 9 is the value of (f+g)(x) .

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Answer:

its B binomial

Step-by-step explanation:

Hope it'll help

Answer:

binomial

Step-by-step explanation:

There are 2 terms within the given expression:

Term #1: 5a²b²

Term #2: -ab³

A monomial only has one term. Ex: 3x³

A binomial has two terms. Ex: 3x³ + 3

A trinomial has three terms. Ex: 6x³ + 3x² + 2

~

Answer:

1 \(\frac{1}{8}\)

Step-by-step explanation:

\(\frac{47}{8} - (\frac{7}{2} + \frac{5}{4} )\)

\(\frac{47}{8} -\frac{19}{4}\)

= \(\frac{9}{8}\)

= \(1\frac{1}{8}\)

Answer provided by Education Point

On property held by Christian missions, some 20,000 Indians were working and living in California.

10,000 Pueblo Indians, 30,000 people of Spanish ancestry, and an unspecified number of migratory Indians made up New Mexico.

The Treaty of Córdoba was signed on August 24, 1821, by Spanish Viceroy Juan de O'Donoj, approving a plan to transform Mexico into a sovereign constitutional monarchy. Iturbide was named the emperor of Mexico in 1822 since there had been no discovery of a Bourbon king to rule Mexico.

The nation was left in a dire situation after winning independence in 1821. Over 500,000 Mexicans perished during the war, and agricultural, mining, & industrial productivity all declined. Mexico was a young nation that was having internal difficulties becoming a nation.

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Step-by-step explanation:

I'm trying to solve this problem but there's something wrong

What's the radius of one ball?

Step-by-step explanation:

you must do by unitary methods, first find smaller quantity and then multiply with remaining one.

Answer: $66.33

Step-by-step explanation: Since Leo buys 9 pounds of each candy, multiply $5.28 x 9 and $2.09 x 9.

$5.28 x 9 is $47.52.

$2.09 x 9 is $18.81.

Add $47.52 and $18.81.

Total is  $66.33

Answer:

(2,6)

Step-by-step explanation:

All you do is halve the point (4,12) so it is half of 4 (2) and half of 12 (6), making the new point (2,6)

1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z

2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.

Given,

The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.

1) Total cost = d

Total ounces = z

Equation

d = $5 + $0.40z

2) If cup weighs 14 ounces

d = $5 + 0.40(14)

d = $5 + $5.6

Total cost:

d = $10.6

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