A classroom is made up of 11 boys and 14 girls. The teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). If the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?

Answer:

a = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Since the triangle is right use the tangent ratio to find a, that is

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex]

Multiply both sides by 12

12 × tan30° = a

12 × [tex]\frac{1}{\sqrt{3} }[/tex] = a

Rationalise the denominator on the left side by multiplying the numerator/ denominator by [tex]\sqrt{3}[/tex]

12 × [tex]\frac{\sqrt{3} }{3}[/tex] = a ( cancel the 12 and 3 )

a = 4[tex]\sqrt{3}[/tex]

Answer: To find the third side of a triangle (there are two answers you could get), you need to use the Pythagorean formula: a^2+b^2=c^2.  First answer, 3^2+5^2=c^2.  Solve for c.  c=5.83.  The second answer, 3^2+b^2=5^2.  Solve for b.  b=4.

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Answer:

Step-by-step explanation:

__________

Good evening ,

_______________

Here we used A and B properties

Look at the photo below for the explanation,

________

:)

Answer: 2 years ago

Step-by-step explanation: Thanks for the points

6 CM would make it 60mm because you would do length timeth width

" The area of the rectangle is 60 cm², which is equivalent to 6000 mm².

To calculate the area of a rectangle, one multiplies the length by the width. In this case, the rectangle has a width of 12 cm and a length of 5 cm. Therefore, the area (A) is calculated as follows:

[tex]\[ A = \text{length} \times \text{width} \][/tex]

[tex]\[ A = 5 \, \text{cm} \times 12 \, \text{cm} \][/tex]

[tex]\[ A = 60 \, \text{cm}^2 \][/tex]

The area is obtained in square centimeters (cm²) because we multiplied two lengths measured in centimeters.

 Now, to convert the area from square centimeters to square millimeters, we need to remember that there are 10 millimeters in a centimeter. Therefore, when converting from cm² to mm², we must square the conversion factor because we are dealing with a two-dimensional measurement:

[tex]\[ 1 \, \text{cm}^2 = (1 \, \text{cm})^2 = (10 \, \text{mm})^2 = 100 \, \text{mm}^2 \][/tex]

Now, we can convert the area from cm² to mm²:

 [tex]\[ 60 \, \text{cm}^2 = 60 \times 100 \, \text{mm}^2 \][/tex]

[tex]\[ 60 \, \text{cm}^2 = 6000 \, \text{mm}^2 \][/tex]

Answer:

A lot. probably down to a 60

Answer: hell na

Step-by-step explanation:

Answer:12

Step-by-step explanation:

(15x-26)+26=180

15x=180

X=12

Answer:c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

multiply the second equation by −2

In the addition-subtraction method, the two equations in the system are added or subtracted to create a new equation in one variable. In order for the new equation to have only one variable, the other variable must cancel out.

multiply the second equation by −2:

2x + 4y = 4

−2x − 6y = −26

→ −2y = −22

Answer:

The length of a side of the base is [tex]5\ in[/tex]

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

[tex]V=Bh[/tex]

where

B is the area of the base of the prism

h is the height of the prism

we have

[tex]V=175\ in^{3}[/tex]

[tex]h=7\ in[/tex]

Substitute the values and solve for B

[tex]175=B(7)[/tex]

[tex]B=175/(7)[/tex]

[tex]B=25\ in^{2}[/tex]

Remember that the base is a square

so

[tex]25=b^{2}[/tex]

[tex]b=5\ in[/tex]

Answer:

255,879

Geometric Sequence Formula

[tex]a_n = a1r^{(n-1)}\\\\a_1 :13\\\\r:3\\\\n:10\\[/tex]

Steps:

[tex]a_1_0=13 (3)^{(10-1)}\\\\a_1_0=13(3)^{(9)}\\\\a_1_0=(13)19683\\\\a_1_0=255,879[/tex]

Answer:

  zero

Step-by-step explanation:

1/2 feet is less than 3/4 feet, so is insufficient length for even one propeller. No propellers can be cut from the board.

Answer:

Choice A

Step-by-step explanation:

In order to determine the equation of the graph, we can simply graph the four equations using an online graphing utility like desmos graphing tool and then run a comparison to identify the appropriate equation of the given graph.

Below are the graphs of the 4 given equations. The graphs were obtained using the desmos online graphing utility;

From the graphs below, the graph that matches the given graph is the one obtained from;

y = x cosx

This is the equation of the given graph

Answer:

Option A. [tex]21.21\ units[/tex]

Step-by-step explanation:

we know that

The perimeter of a triangle is equal to the sum of its three side lengths

so

[tex]P=EF+FG+EG[/tex]

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

[tex]E(5,4),F(9,1),G(5,-5)[/tex]

step 1

Find the distance EF

[tex]E(5,4),F(9,1)[/tex]

substitute in the formula

[tex]EF=\sqrt{(1-4)^{2}+(9-5)^{2}}[/tex]

[tex]EF=\sqrt{(-3)^{2}+(4)^{2}}[/tex]

[tex]EF=\sqrt{25}[/tex]

[tex]EF=5\ units[/tex]

step 2

Find the distance FG

[tex]F(9,1),G(5,-5)[/tex]

substitute in the formula

[tex]FG=\sqrt{(-5-1)^{2}+(5-9)^{2}}[/tex]

[tex]FG=\sqrt{(-6)^{2}+(-4)^{2}}[/tex]

[tex]FG=\sqrt{52}[/tex]

[tex]FG=7.21\ units[/tex]

step 3

Find the distance EG

[tex]E(5,4),G(5,-5)[/tex]

substitute in the formula

[tex]EG=\sqrt{(-5-4)^{2}+(5-5)^{2}}[/tex]

[tex]EG=\sqrt{(-9)^{2}+(0)^{2}}[/tex]

[tex]EG=\sqrt{81}[/tex]

[tex]EG=9\ units[/tex]  

step 4

Find the perimeter

[tex]P=EF+FG+EG[/tex]

[tex]P=5+7.21+9=21.21\ units[/tex]

Answer:

618499.2

answer step by step

5%×13=65

65%×374848=243651.2

243651.2+374848=618499.2

The function with a range of (-π/2, π/2) is the arc sine function, denoted as y = sin-1(x) or y = arcsin(x).

The range of a function is the set of all possible output values it can produce. When referring to a function with a range of (-π/2, π/2), we are usually considering trigonometric functions, particularly the inverse trigonometric functions. The function that has a range between -π/2 and π/2 is the arc sine function, denoted as y = sin-1(x) or y = arcsin(x). This is because the arc sine function is the inverse of the sine function, which oscillates between -1 and 1, and thus its inverse must have a range where the angle could be between -π/2 and π/2 to accommodate this domain.

The sine function itself, which a student might initially think of due to its oscillation, has a domain of all real numbers and a range of [-1,1], so it does not fit the criteria given by the range (-π/2, π/2). It is important to recognize that, while a sine function oscillates between +1 and -1, its inverse function, arc sine, is the one with the specified range as mentioned in the question.

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Sales tax

At least 20 characters blahhhhh

Answer:

The answer is sales tax.

Step-by-step explanation:

When you purchase an item in a store, you may be charged sales tax.

A sales tax is imposed on the buyer, when he purchases something. This tax is imposed by the government on the sale of goods and services.

A typical sales tax is applied at the point of sale and collected by the retailer or seller and then passed on to the government.

Step-by-step explanation:

hope it helps you!!!!!!!!!!!

Answer:

x = - 3

Step-by-step explanation:

Given the 2 equations

y = [tex]\frac{1}{3}[/tex] x + 7 → (1)

y = 3x + 15 → (2)

Since both equations express y in terms of x, equate the right sides

3x + 15 = [tex]\frac{1}{3}[/tex] x + 7

Subtract [tex]\frac{1}{3}[/tex] x from both sides

[tex]\frac{8}{3}[/tex] x + 15 = 7 ( subtract 15 from both sides )

[tex]\frac{8}{3}[/tex] x = - 8 ( multiply both sides by 3 )

8x = - 24 ( divide both sides by 8 )

x = - 3

Answer:p(side effects| child)=0.42

P(side effects|adults)=0.12

Step-by-step explanation:

Children are twice as likely as adults to experience side effects from the new drug.

The probability that an adult has side effects is 0.12,

while the probability that a child has side effects is 0.42.

This means that children are more likely to experience side effects from the new drug than adults.

We can calculate the probability of side effects for each group by dividing the number of people who experienced side effects by the total number of people in the group:

Probability of side effects in adults = [tex]\frac{6}{50}[/tex] = 0.12

Probability of side effects in children = [tex]\frac{21}{50}[/tex]= 0.42

We can also see this difference in the table provided. Children are more likely to experience side effects from the new drug than adults.

Children are more likely to experience side effects from the new drug than adults

For similar question on side effects

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Answer:

False. The surface area of the cube will increase to four times its initial value.

Step-by-step explanation:

Consider a cube with edge of lengths [tex]a[/tex]. What will be its surface area?

Each face of a cube is a square. The lengths of sides of the square are also [tex]a[/tex].

The area of each square will be the square of its sides: [tex]a \cdot a = a^{2}[/tex].

It takes six such squares to make a cube. The sum of the area of the sube [tex]6a^{2}[/tex] will also be the surface area of the cube.

In case the length of each side of the cube is doubled to [tex]2a[/tex].

Answer:

  f(x) = 60.04 – 8.25 ln x

Step-by-step explanation:

A suitable calculator can find the regression formula coefficients for you.

  f(x) = 60.04 – 8.25 ln(x)

_____

The attachment shows the calculator's computation of the model parameters (a₁ and b₁), and is also shows how these parameters might be calculated by hand (a₂ and b₂). The manual calculation involves taking the logarithms of the x-values and computing various means involving those and the y-values. These calculations are easily done on a graphing calculator or spreadsheet, but such a device will also likely be able to compute the regression equation for you.

_____

Comment on answer choices

You can eliminate the first two answer selections because these are not formulas that are logarithmic functions. You can eliminate the last choice because it models values near 8, not near 60. Thus, you can choose the correct answer without knowing much about how to make a logarithmic model.

At the most 308 pounds / exactly 308 ((2000-150)/6=308) hope it helps

Answer:

At most 308 pounds

Step-by-step explanation:

Let x pounds be the new weight of the sacks,

⇒ The weight of 6 sacks = 6x,

Now, the weight of Kevin = 150 pounds,

Thus, the total weight Kevin and 6 sacks = 150 + 6x,

Given,

The capacity of the elevator is 2,000 pounds,

⇒ 150 + 6x ≤ 2000

⇒ 6x ≤ 2000 - 150    ( Subtraction property of inequality )

⇒ 6x ≤  1850

⇒ x ≤ 308.33 ≈ 308

Hence, the weight of each sack is approximately atmost 308 pounds.

Answer:

B

Step-by-step explanation:

51 /22= 2.3

19/8=2.3

The correct option is D) Yes, the probability of not liking country is different from the probability of not liking country given that they listen to the station.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, a local radio station surveyed people going into a grocery store about whether or not they liked country and if they listed to that station,

We need to determine that if listening to the radio station independent of liking country music,

So, here the answer will be yes, because both the events are not connected to each other.

The probability of not liking or liking the country music is nowhere related to whether a person is listening to the radio station or not.

Hence, the correct answer is D

Learn more about probability click;

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There are 6 points on a circle.

We have a sum of angles in a circle that is equal to 360°.

Anna can only see 2 points which is a third of a points there are.

That means her spectrum is 360°/3 which is 120°.

The answer is B. 120°.

Hope this helps.

Brainliest would be amazing.

Final answer:

When six posts are evenly spaced around a circle, they divide the circle into six equal sections of 60 degrees each. If Anna can see across two sections, the measure of angle A (m∠A) is 120 degrees.

Explanation:

In this question, we are asked to find the measure of angle A (m∠A) when six posts are evenly spaced along a circular wall. If six posts are evenly distributed around a circle, they divide the circle into six equal sections. Since a circle has 360 degrees, each section between two posts equals 360°/6 = 60°. When Anna stands at point A, she can see across two such sections, so to find the measure of angle A, we simply add the degrees of the two sections:

Measure of angle A (m∠A) = 60° + 60° = 120°

Therefore, the correct answer to the question is 120°, meaning Anna can see an angle of 120 degrees between the two posts that are visible to her from her standing point at A.

Answer:

The correct Answer is C: The response variable is the number of push-ups. Good luck kid!

Step-by-step explanation:

Answer:

3(x-3)

Step-by-step explanation:

First, we can see that both 3 and 9 are divisible by 3. So we know that 3/3=1 and 9/3=3.

When factoring equations, there have to be parenthesis so it's more organized. So we can put 3 outside of parenthesis:

3(x-3)

The reason we put the 3 outside of parenthesis is because when we multiply 3 by everything in the parenthesis, we will get the equation we originally started with, which is 3x-9.  

So the answer is 3(x-3)

Hope I helped!

~Mschmindy

Answer:

D

Step-by-step explanation:

Using the trigonometric identities

• cscx = [tex]\frac{1}{sinx}[/tex]

• sin²x + cos²x = 1

Given

cosΘ = - [tex]\frac{1}{4}[/tex] , 180 < Θ < 270

then Θ is in the third quadrant where sinΘ < 0

sinx = - [tex]\sqrt{1-cos^2x}[/tex]

sinΘ = - [tex]\sqrt{1-(-1/4)^2}[/tex] = - [tex]\sqrt{\frac{15}{16} }[/tex] = -[tex]\frac{\sqrt{15} }{4}[/tex]

Hence

cscΘ = [tex]\frac{1}{-\frac{\sqrt{15} }{4} }[/tex] = - [tex]\frac{4}{\sqrt{15} }[/tex]

First get the sum of digits 0 through 9: 0+1+2+...+9=45. Call this sum S for short.

Then notice that the sum of the digits for 10 through 19 is the sum S + 10.

Then notice that the sum of digits 20 through 29 is S + 20, and do so until you hit 100. 100 through 109 is the same as 10 though 19 which you know is S + 10, and finally add the sum of digits of 110, i.e., 2.

Total = S + (S + 10) + (S + 20) + ... + (S + 90) + (S + 10) +2 =

= 11 * S + 10 * (S + 1) + 2 = 11 * 45 + 10 * 46 + 2 = 957

Answer:

957

Step-by-step explanation:

We first calculate the sum of all digits used to write the whole numbers 0 through 99. If we consider all such numbers as two-digit (e.g. write 04 instead of 4), the sum of digits will be unchanged. Then we see that each digit appears an equal number of times in the ones place, and similarly for the tens place, meaning it appears a total of $2\cdot \frac{100}{10} = 20$ times. Thus the sum of all digits used to write the whole numbers 00 through 99 is $20\cdot (0 + 1 +\cdots + 8 + 9) = 900$. The sum of the digits from 100 to 110 is just $(1 + 0) + (1 + 1) + (1 + 2) + \cdots + (1+9) + 2 = 57$. Thus our final answer is $900 + 57 = \boxed{957}$.

Answer:

D

Step-by-step explanation:

So you start with $2.65 and a variable y. What we will do is work without the dollar and keep it for the end as it quite disturbs and work our way while keeping the y. So first we have 2.65. Now it rose by y so. The price = 2.65 + y. Then it dropped by 0.15. So 2.65 + y - 0.15. Here you see we have like terms so we reduce and get 2.50 + y. Now it rose by 0.05. So 2.50 + y + 0.05. Again, like terms, reduce. 2.55 + y. There you go with the answer.

Final answer:

The current price of milk, after it first increased by an unknown amount y, then decreased by $0.15, and finally increased by $0.05, is represented by the expression $2.55 + y, which is Option D.

Explanation:

The question asks us to calculate the current price of a gallon of milk after a series of price changes. The original price was $2.65. After a hurricane, the price increased by y dollars. Subsequently, the price dropped by $0.15, and then again rose by $0.05.

To find the new price, we start with the original price and apply the changes step by step:

Original price: $2.65

Price after hurricane increase: $2.65 + y

Price after $0.15 drop: ($2.65 + y) - $0.15 = $2.50 + y

Price after $0.05 rise: ($2.50 + y) + $0.05 = $2.55 + y

Hence, the correct answer representing the current price of milk after these changes is Option D) $2.55 + y.

For this case we have the following equation:

[tex]9 (w + 7) = 27[/tex]

To solve we follow the steps below:

We apply Distributive Property to the terms of parentheses:

[tex]9w + 63 = 27[/tex]

We apply Subtraction Property of equality by subtracting 63 from both sides of the equation:

[tex]9w + 63-63 = 27-63\\9w = -36[/tex]

We apply Division Property of equality by dividing by 9 on both sides of the equation:

[tex]\frac {9w} {9} = \frac {-36} {9}[/tex]

simplifiying

w = -4

Answer:

[tex]w = -4[/tex]

Answer:

x^2 + y^2 = 36

Step-by-step explanation:

Just add 36 to both sides. This is a circle with the center at the origin and radius 6.

Final answer:

The equation in standard form for the circle x² + y² – 36 = 0 is x² + y² - 9x - 12y + 36 = 0.

Explanation:

The equation in standard form for the circle x² + y² – 36 = 0 is:

x² + y² - 9x - 12y + 36 = 0

This equation can be obtained by completing the square. Rewrite the equation as: (x² - 9x) + (y² - 12y) = 36. Complete the square for both the x and y terms by adding the square of half the coefficient of each term.

To complete the square for the x terms, add (9/2)² = 81/4, and for the y terms, add (12/2)² = 36 to both sides of the equation.

Simplify the equation to: x² - 9x + (81/4) + y² - 12y + 36 = 36 + (81/4) + 36.

Combine like terms and simplify further to obtain the standard form of the equation: x² + y² - 9x - 12y + 36 = 0.

Answer:

SSS

Step-by-step explanation:

Ratio of the corresponding sides of both triangles are equal, so triangles are similar by SSS.

[tex]\frac{6}{9} =\frac{2}{3} \\\frac{14}{21}=\frac{2}{3}\\\frac{16}{24}=\frac{2}{3}[/tex]