if the ratio of boys to girls is 2:3 and there are 15 girls in your class, how many boys are there.

Answer:

Probability that the card Connor chooses has a number on it that is even or divisible by 5 is (3/5) or 0.6.

Step-by-step explanation:

We are given that Connor randomly chooses a card from a deck of numbered cards. the cards are numbered 1 through 10, and each number appears only one time.

And we have to find the probability that the card Connor chooses has a number on it that is even or divisible by 5.

Let the Probability that card Connor chooses has a number on it that is even = P(A)

Probability that card Connor chooses has a number on it that is divisible by 5 = P(B)

Probability that card Connor chooses has a number on it that is even and divisible by 5 =  [tex]P(A\bigcap B)[/tex]

Probability that card Connor chooses has a number on it that is even or divisible by 5 =  [tex]P(A\bigcup B)[/tex]

Here, Even numbers are = {2, 4, 6, 8, 10} = 5

Numbers divisible by 5 = {5, 10} = 2

Also, Number which is even and also divisible by 5 = {10} = 1

Total numbers = 10

Now, Probability that card Connor chooses has a number on it that is even =  [tex]\frac{5}{10}[/tex]  = 0.5

Probability that card Connor chooses has a number on it that is divisible by 5 =  [tex]\frac{2}{10}[/tex]  = 0.2

Probability that card Connor chooses has a number on it that is even and divisible by 5 =  [tex]\frac{1}{10}[/tex]  = 0.1

Now,     [tex]P(A\bigcup B) = P(A) +P(B) -P(A\bigcap B)[/tex]

                             =  0.5 + 0.2 - 0.1

                             =  0.6  =  [tex]\frac{3}{5}[/tex]

Hence, probability that the card Connor chooses has a number on it that is even or divisible by 5 is 0.6.

Answer:

[tex]0.26 - 1.96\sqrt{\frac{0.26(1-0.26)}{1350}}=0.237[/tex]

[tex]0.26 + 1.96\sqrt{\frac{0.26(1-0.26)}{1350}}=0.283[/tex]

Rounded the 95% confidence interval would be given by (0.2;0.3)

Step-by-step explanation:

We  know that the estimated proportion of people said they were in favor of the plan is [tex]\hat p=0.26[/tex]

We want to construct a confidence interval with 95% of confidence, our significance level would be given by [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96[/tex]

The confidence interval for the true proportion of interest is given by the following formula:  

[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

Replacing the info given we got:

[tex]0.26 - 1.96\sqrt{\frac{0.26(1-0.26)}{1350}}=0.237[/tex]

[tex]0.26 + 1.96\sqrt{\frac{0.26(1-0.26)}{1350}}=0.283[/tex]

Rounded the 95% confidence interval would be given by (0.2;0.3)

Answer:

The volume of a right circular cone is [tex]526\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cone is 11.5 inches

Height of a cone is 15.2 inches

It is required to find the volume of a cone. The volume of a cone is given in terms of radius r and height h as :

d = 11.5 inches

Radius, r = 5.75 inches

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (5.75)^2\times 15.2\\\\V=526\ \text{inches}^3[/tex],

So, the volume of a right circular cone is [tex]526\ \text{feet}^3[/tex].

Final answer:

To find the volume of a cone with a given diameter and height, use the formula V = (1/3)πr²h where r is the radius and h is the height.

Explanation:

Volume of a cone:

Given diameter = 11.5 inches, radius = 11.5 / 2 = 5.75 inches

Using the formula V = (1/3)πr²h, plug in radius = 5.75 inches and height = 15.2 inches

Calculate the volume: V = (1/3) × 3.142 × (5.75)² × 15.2 inches³

Answer:

- 57

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a + (n - 1)d

where a is the first term and d the common difference

Here a = 13 and d = - 2.5, thus

[tex]a_{29}[/tex] = 13 + (28 × - 2.5) = 13 - 70 = - 57

The total profit from July through September is -$1 if Milk & Cookies is an ice cream sandwich stand.

It is defined as the depiction of numerical data in a graph using a bar with space.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we can see in the bar graph,

Milk & Cookies is an ice cream sandwich stand.

Total profit from July through September = (+2) + (+2) + (-5)

= -$1

Thus, the total profit from July through September is -$1 if Milk & Cookies is an ice cream sandwich stand.

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Without the bar chart data, the exact total profit for Milk & Cookies' from July through September cannot be calculated. Normally, you would add the monthly profits to find the total profit for the quarter.

To determine Milk & Cookies' total profit from July through September, we would need to examine the provided bar chart that lists profits for each month. However, since the actual bar chart data is not included in the question, we cannot calculate the exact total profit.

In a typical situation, you would add the profit of each month: Profit in July + Profit in August + Profit in September to find the total profit for that quarter.

If the total profits for July, August, and September are positive when added together, then Milk & Cookies has made a profit over these months.

If the sum is zero, the business broke even, and if the sum is negative, the business incurred a loss during that period. The profits from the bar chart are essential to conduct this analysis.

Simplify the expression.

Exact Form:

189/2

Decimal Form:

94.5

Mixed Number Form:

94 1/2

Answer: 189 or 94.5

Step-by-step explanation:

divide 3/2 because he fashion is division so 3/2 is 1.5 then multiply 1.5 by 63    and you get 94.5

Answer:

Step-by-step explanation:

Given

Joaquin's score is [tex]75,72,85,62,58,91[/tex]

and Trisha's score is [tex]92,90,55,76,91,74[/tex]

Arranging score in order of value we get

Joaquin's : [tex]58,62,72,75,85,91[/tex]

Trisha's : [tex]55,74,76,90,91,92[/tex]

as no of values is even therefore their median is

Joaquin's[tex]=\frac{72+75}{2}=73.5[/tex]

Trisha's [tex]=\frac{76+90}{2}=83[/tex]

Therefore median of Joaquin's is lower

Thus Joaquin wins the game

Answer:

the answer is A)

Step-by-step explanation:

took the test and got a 90

Answer:

24 blocks long

Answer:

24 blocks.

Step-by-step explanation:

[tex]\frac{1}{6} +\frac{5}{8} =5[/tex] blocks

[tex]\frac{8}{48} + \frac{30}{48}=\frac{38}{48}\\\\ \frac{48}{48} -\frac{38}{48} =\frac{10}{48}[/tex]

[tex]\frac{10}{48}[/tex] is 5 blocks

You can use ratios to find out how many blocks for each color now. (I'm too lazy)

Blue blocks: 4 blocks

Red blocks: 15 blocks

Yellow blocks: 5 blocks

4+15+5=24 blocks in total.

Answer:

The Answer is 2 Units on edg 2020

Step-by-step explanation:

The radius of a circle whose equation is given is x²+y²+8x−6y+21=0 is; 2.

The given equation of the circle is;

Hence, by collecting like terms and subsequent factorisation by completing the square method, it follows that;

By comparison of the equation above with the standard form equation of a circle, it follows that the radius of the circle is; 2

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Answer:

The answer would be C.) x = 6

Step-by-step explanation:

7+5 (4-3) = 12

7+5 (5 -3) = 17

7+5 (6-3) = 22

7+5 (7-3) = 27

Answer:

The probability of an eighth grader winning is 1/3

Step-by-step explanation:

Total no. of students = 42

Number of students in 7th grade = 21

Number of students in 8th grade = 14

Number of students in 9th grade = 7

Probability of event = [tex]\frac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

So,the probability of an eighth grader winning= [tex]\frac{14}{42}=\frac{2}{6}=\frac{1}{3}[/tex]

Hence The probability of an eighth grader winning is 1/3

The solution to the system of equations y = 1/2x - 4 and y = 2x - 9 is x = -2 and y = -5.

To find the solution to the system of equations y = 1/2x - 4 and y = 2x - 9, we need to find the values of x and y that satisfy both equations. We can do this by finding the points of intersection between the two lines graphically or by solving the equations algebraically.

Graphically, we can plot the two lines on a graph and see where they intersect. The points of intersection are (-2, -5) and (2, -3).

Algebraically, we can set the two equations equal to each other and solve for x:

1/2x - 4 = 2x - 9

Now solve for x:

x = -2

Then substitute the value of x back into one of the original equations to find the value of y:

y = 1/2(-2) - 4 = -5

So the solution to the system of equations is x = -2 and y = -5.

Answer:

1 every 2.5 feet

Step-by-step explanation:

20 divided by 8 20 being the plants 8 being the length gives u 2.5

Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.

To find the distance between each plant when they are evenly spaced around the edge of the circular garden, we can use the formula for the circumference of a circle:

[tex]Circumference (C) = \pi * diameter[/tex]

Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.

Given that the diameter of the circular garden is 8 feet, we can calculate the circumference:

[tex]C = \pi * 8[/tex]

Now, let's calculate the circumference:

[tex]C = \pi * 8[/tex]

[tex]C = 3.14 * 8[/tex]

[tex]C = 25.12 feet[/tex]

Now, since there are 20 plants evenly spaced around the circumference, we can divide the circumference by 20 to find the distance between each plant:

[tex]Distance between plants = Circumference / Number of plants[/tex]

[tex]Distance between plants =25.12 / 20[/tex]

[tex]Distance between plants = 1.256 feet[/tex]

Complete correct question:

Jared is going to plant 20 small plants around the edge of a circular garden

that is 8 feet in diameter. If he spaces the plants evenly, how much distance

will be between the plants? (Round to the nearest hundredth)

Answer:

the degree of homogeneity is 20.

Step-by-step explanation:

In a polynomial P (x, y), homogeneous and complete in "x" and "y", the sum of the absolute degrees of all its terms is 420. What is its degree of homogeneity?

A homogeneous polynomial is one in which all monomials have the same degree.

This is an example of a homogeneous polynomial of degree 4 (the degree of all monomials is 4):

x ^ 4 + 3x ^ 3y + 2x ^ 2y ^ 2 + xy ^ 3 + 8y ^ 4.

As you can see, the sum of the exponents of the variables x, y in each monomial is 4.

And the number of terms is 5, that is, it is the degree of homogeneity plus 1.

In relation to the sum of the absolute degrees of all monomials or terms it will be: 4 + 4 + 4 + 4 + 4 = 4 * 5 = 20.

In general, you can say that the sum of the absolute degrees in a homogeneous polynomial will be the degree of each monomial by the number of terms = degree * (degree + 1)

Calling n, the degree of our polynomial, it must be fulfilled:

n (n + 1) = 420

=> n ^ 2 + n = 420

=> n ^ 2 + n - 420 = 0

Factoring:

(n + 21) (n - 20) = 0

=> n = -21 and n = 20.

Only the positive value makes sense, therefore n = 20.

In other words, the polynomial is of the form (excluding the coefficients):

x ^ 20 + x ^ 19 y + x ^ 18 y ^ 2 + x ^ 17 y ^ 3 + .... x ^ 3 y ^ 17 + x ^ 2y ^ 18 + xy ^ 19 + y ^ 20

That polynomial has 21 terms.

So the sum of the degrees will be 20 * 21 = 420, as required in the statement.

Therefore, the degree of homogeneity is 20.

Answer:

32

Step-by-step explanation:

The measure of ∠X is approximately 47.9 degrees to the nearest tenth of a degree.

To find the measure of ∠X in triangle WXY, you can use the trigonometric relationship of the tangent function.

Given that ∠Y is a right angle (90°), and you have the lengths of two sides, WX and XY, you can use the following relationship:

tan(∠X) = opposite/adjacent

In this case:

Opposite side to ∠X = WX

Adjacent side to ∠X = XY

So, you have:

tan(∠X) = WX / XY

tan(∠X) = 7.9 feet / 6.7 feet

Now, you can find ∠X by taking the arctan (inverse tangent) of this value:

∠X = arctan(7.9 / 6.7)

Using a calculator, you can find:  

∠X ≈ 47.9 degrees (rounded to the nearest tenth of a degree)

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Answer:

900,000 books.

Step-by-step explanation:

The volume of the container = 24 * 9 * 8

= 1728 m^3

The volume of each book = 20*16*6 = 1920 cm^3

There are 100*100*100 = 1,000,000 cm^3 in 1 m^3.

So the number of books the container can hold

=   (1728 * 1000000) / 1920

= 900,000.

The school has collected $1050.

Answer:

3. A quadrilateral with each side length 4 cm

Step-by-step explanation:

We need to understand what is a unique polygon?

It means all regular polygons with the same number of sides are similar.

1.A triangle with angles 30 degrees, 60 degrees, and 90 degrees

It is an right triangle, so the 3 sides are not simillar, so it is wrong

2. A triangle with side lengths 5 cm, 4 cm, and 3 cm

It is a triangle with the 3 sides are not simillar, so it is wrong

3. A quadrilateral with each side length 4 cm

It is an square with the 4 sides are simillar, so it is true

4. A triangle with side lengths 7 cm and 8 cm and a 40-degree angle

It is a triangle with the 3 sides are not simillar, so it is wrong

Hence, we choose 3.

Answer:

the answer is B

Step-by-step explanation:

Final answer:

To organize the results into a two-way frequency table, fill in the known values and calculate the remaining values based on the total number of students.

Explanation:

To organize the results into a two-way frequency table, we can use the information given. First, we know that 6 students play both a musical instrument and a sport. We also know that 3 students play neither a musical instrument nor a sport. Furthermore, we know that a total of 14 students play a sport. From this information, we can fill in the table:

Plays a sport Does not play a sport

Plays a musical instrument 6 To be filled

Does not play a musical instrument To be filled 3

We can calculate the values for the empty cells by subtracting the known values from the total. So, the number of students who play a musical instrument but do not play a sport is 24 - (6 + 3 + 14) = 1. Likewise, the number of students who do not play a musical instrument but play a sport is 24 - (6 + 3 + 14) = 1.

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Answer:

Amount spent on each item is;

brush = $3.50

sketchbook = $14.00

paint set = $21.00

Completed question:

Madison brought $42.50 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/4 as much as the sketchbook, and the sketchbook cost 2/3 the cost of the paint set. Madison had $4.00 left over after buying these items. How much is each item.

Step-by-step explanation:

Let x,y and z represent the price of brush, sketchbook and paint set respectively.

The brush was 1/4 as much as the sketchbook,

x = 1/4 × y

y = 4x ....1

the sketchbook cost 2/3 the cost of the paint set

y = 2/3 × z

3y = 2z

z = 3y/2

Substituting equation 1

z = 3(4x)/2 =6x

z = 6x ....2

Total amount spent = amount he brought - amount he left with(remainder)

= $42.50 - $4.00

= $38.50

Total amount spent = x+y+z = $38.50

x+y+z = 38.50

Substituting equation 1 and 2

x + 4x + 6x = 38.50

11x = 38.50

x = 38.50/11

x = 3.5

y = 4x = 4(3.5) = 14

z = 6x = 6(3.5) = 21

Amount spent on each item is;

brush = $3.50

sketchbook = $14.00

paint set = $21.00

Step 2: [tex]$(x + 3)^2 = 100$[/tex]. Step 3: [tex]$x + 3 = \pm 10$[/tex]. Step 4: [tex]$x = -13$[/tex] or [tex]$x = 7$[/tex]. The final answer is (C).

Given:

[tex]\frac{1}{5}(x+3)^2-2 & =18[/tex]

[tex]\frac{1}{5}(x+3)^2 & =20 \quad \text { Step } 1[/tex]

Step 2: To solve for (x+3), we isolate it by dividing both sides by [tex]$\frac{1}{5}$[/tex]:

[tex]\frac{1}{5}(x+3)^2 &= 20[/tex]

[tex](x+3)^2 &= 20 \times 5[/tex]

[tex](x+3)^2 &= 100[/tex]

Step 3: Take the square root of both sides to solve for x+3:

[tex]\sqrt{(x+3)^2} &= \pm \sqrt{100}[/tex]

[tex]x+3 &= \pm 10[/tex]

Step 4: Solve for x by subtracting 3 from both sides:

[tex]x &= -3 \pm 10[/tex]

[tex]x &= -13 \quad \text{or} \quad x = 7[/tex]

So, the complete step by step solution is:

Step 2:

[tex](x+3)^2 = 100[/tex]

Step 3:

[tex]x+3 = \pm 10[/tex]

Step 4:

[tex]x = -13 \quad \text{or} \quad x = 7[/tex]

Thus, the correct answer is (C).

Complete Question:

Answer:

x =118

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees.  Let the unknown angle be x

37+25 +x = 180

Combine like terms

62+x = 180

Subtract 62 from each side

62+x-62 = 180-62

x =118

Answer:

100.584 KILOMETERS

Step-by-step explanation: cause i know it ❤

hope you get it right! love ya stranger

On conversion of 62.5 miles to kilometers we get 100.625 km.

To convert 62.5 miles to kilometers, use the conversion factor of 1 mile being equal to 1.61 kilometers to calculate that it is equivalent to 100.625 km.

To convert 62.5 miles to kilometers, you can use the fact that 1 mile is equal to 1.61 kilometers to set up a conversion ratio.

1 mile = 1.61 km

62.5 miles x 1.61 km/mile = 100.625 km

Answer:

La longitud del jardín es [tex]l \approx 44.72\,m[/tex]. (Opción A) (The length of the garden is [tex]l \approx 44.72\,m[/tex]) (Option A)

Step-by-step explanation:

El largo del jardín se calcula por el Teorema de Pitágoras (The length of the garden is now calculed by the Pythagorean Theorem):

[tex]l = \sqrt{(60\,m)^{2}-(40\,m)^{2}}[/tex]

[tex]l \approx 44.72\,m[/tex]

Answer:

A)  x = 44,72 m

Step-by-step explanation:

A rectangular shape means two dimensions width (w) and length (l)  and the internal angles are of 90⁰; therefore if we know one of its side, and a diagonal (d)  we can calculate the other side, using Pytagoras Theorem, then:

x² +  l²  = d²

x²  =  d² - l²    ⇒  x²  =  (60)²  - (40)²    ⇒   x² =  3600 - 1600

x²  =  2000

x = √2000

x = 44,72 m

Answer:

w=10.25

P=900

Step-by-step explanation:

You need to substitute those original numbers and see they dont work

The width of the base of the rectangular pyramid is 6 inches, which is found by rearranging and simplifying the formula for the volume of a pyramid using the given values for the pyramid's volume, height, and length.

The student has asked about finding the width of the base of a rectangular pyramid with a known volume, height, and base length. To find the width (w), we use the formula for the volume of a pyramid: V = (1/3) × base area × height. The base area is the product of the base length (l) and width (w), so we can rewrite the equation as V = (1/3) × l × w × h, where

Given that V = 1512 in³, h = 12 in, and l = 21 in, the equation becomes 1512 = (1/3) × 21 × w × 12. Simplifying, we find w = 1512 /​ (1/3 × 21 × 12), which calculates to 6 in. Hence, the width of the base of the pyramid is 6 inches.

Answer:

3+3x+7 or 3x+10

Step-by-step explanation:

Answer:

3x+10

Step-by-step explanation:

3(1 + x) + 7

Distribute

3+3x+7

Combine like terms

3x+3+7

3x+10