In a theater group of 36 people. 20 can sing and 12 can play instruments. If 5 can play n sing. How many can niether play nor sing

Answer:

y-3 = -2/9(x+1)

Step-by-step explanation:

Here, we want to find the standard equation

Generally, we have the equation as;

y = mx + b

where m is the slope of the line and b is the y intercept

To find the slope, we use the slope equation

m =y2-y1/x2-x1

m = (3-1)/(-1-8) = 2/-9 = -2/9

So to write in point slope form, we can use any of the two points

We have;

y-y1 = m(x-x1)

using (-1,3)

y-3 = -2/9(x+1)

Answer:

45°

Step-by-step explanation:

Reference angle is defined as The smallest angle that the standard position of a given angle will make with the x-axis.

Now, the given angle 225 lies in third quadrant. So, for us to find the reference angle, we will have to subtract 180 from it to get;

225 - 180 = 45°

[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]

Total number of rotten mangoes in the bag = 6

Total number of good mangoes in the bag = 24

[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]

Fraction of the rotten mangoes to the total mangoes.

[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{1}{5} }}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}[/tex]

Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes

➺[tex]\:6 + 24[/tex]

➺[tex]\:30[/tex]

Now,

Fraction = [tex]\frac{Total \: \: number \: \: of \: \: rotten \: \: mangoes}{Total \: \: number \: \: of \: \: mangoes}[/tex]

➺[tex] \: \frac{6}{30} [/tex]

➺[tex] \: \frac{1}{5} [/tex]

Therefore, the fraction of the rotten mangoes to the total mangoes is [tex]\sf\pink{\frac{1}{5}}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

6/24

Step-by-step explanation:

It is 1/4 in simplest form

Answer:

0.6836 = 68.36% probability that the player will win at least once.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the player wins, or the player loses. The probability of winning a game is independent of any other game, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% chance of winning

This means that [tex]p = 0.25[/tex]

Plays the game four times

This means that [tex]n = 4[/tex]

What is the probability that the player will win at least once?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836[/tex]

0.6836 = 68.36% probability that the player will win at least once.

9514 1404 393

Answer:

  A, C, D, G

Step-by-step explanation:

The independent variable is plotted on the horizontal axis. If you want to find out what it is, read the axis label.

The dependent variable is plotted on the vertical axis. If you want to find out what it is, read the axis label.

To find the distance from home at some time, look up that time on the horizontal axis, and read the corresponding distance value from the graph. The maximum distance from home is the peak value of the graph.

"Stopping" means that distance doesn't change, even while time continues to increase. The curve is horizontal where the person is stopped.

Given:

Fixed cost = $300

Variable cost = $75 on each supply

Revenue = $125 on each horse.

To find:

The number of horses for break even.

Solution:

Let x be the number of horses.

The fixed cost is $300 and the variable cost is $75 on each supply. So, the cost function is:

[tex]C(x)=300+75x[/tex]

The revenue from each horse is $125. So, the revenue function is:

[tex]R(x)=125x[/tex]

On break even, the revenue and cost are equal.

[tex]R(x)=C(x)[/tex]

[tex]125x=300+75x[/tex]

[tex]125x-75x=300[/tex]

[tex]50x=300[/tex]

Divide both sides by 50.

[tex]x=\dfrac{300}{50}[/tex]

[tex]x=6[/tex]

The number of horses for break even is 6.

Therefore, the correct option is D.

Answer:

6

Step-by-step explanation:

9514 1404 393

Answer:

  log4(2) = 0.5000

Step-by-step explanation:

You are being asked to figure out how to make the value 2 from the values 6 and 3. Your familiarity with arithmetic facts tells you ...

  2 = 6/3

Taking logs base 4, you have ...

  log4(2) = log4(6/3) = log4(6) -log4(3)

  log4(2) = 1.2925 -0.7925

  log4(2) = 0.5000

__

Additional comment

This is consistent with your knowledge of factors of 4:

  √4 = 4^(1/2) = 2

  log4(2) = 1/2

__

Here, we're using "log4" to mean the base-4 logarithm.

Answer:

90

Step-by-step explanation:

350+60= 410 & 500-410=90

Answer: The number of people who drank both is 90

This is because we need to subtract 350 people from 500 people, because we know that they didn't drink the drink. We have 150 people left. Another 60 people don't drink the drink at all, so we need to subtract that from the remaining 150 people left. We get the solution of 90 people who could only have drank both drinks based of of the givens you have provided.

Answer:

x is 69.75

Step-by-step explanation:

8x+58>500

500-58

8x/8>558/8

x>

Given:

Scott can run 20 km in 85 minutes.

To find:

How long will it take Scott to run 52 km?

Solution:

Let x be the number of minutes it will take him to run 52 km.

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

Using this formula, we get

[tex]Speed=\dfrac{20}{85}[/tex]           ...(i)

[tex]Speed=\dfrac{52}{x}[/tex]             ...(ii)

Equating (i) and (ii), we get

[tex]\dfrac{20}{85}=\dfrac{52}{x}[/tex]

[tex]20\times x=52\times 85[/tex]

[tex]20x=4420[/tex]

Divide both sides by 20.

[tex]x=\dfrac{4420}{20}[/tex]

[tex]x=221[/tex]

Therefore, it will take 221 minutes to run 52 km.

1. The measurements you need to find the volume of a cylinder are the radius of the base of the cylinder and the height of the cylinder.

2. The radius is 4

3. The 3D shape will form a full cylinder.

4. To calculate the  volume of a cylinder we use the formula V = πr²h which is = π(4²)(2) = 3.14 × 16 × 2 = 100.48 cm³

5. The formula for a refraction will be (πr²h) / 2

6. From the formula in part E, the approximate volume of a refraction is (3.14 × 4² × 2)/ 2 = 50.24 cm³

If you have been givn the volume of a cylinder and its height, you can use the formula for the volume of a cylinder to solve for the radius. Rearange the formula to r = sqrt(V / (πh)).

If you know the surface area of a given cylinder and height, you can find the radius using the formula for cylinder surface area (A = 2rh + 2r2). Rewrite the formula as r = (A - 2h) / (2.

Find more exercises on calculating the volume of a cylinder;

https://brainly.com/question/16134180

#SPJ1

Answer:

80n+20=total cost

Step-by-step explanation:

We don't know the value of n, but we don't need it for an expression. We know that the family has to pay $80 per night that they stay at the hotel. Modeling this would look like: 80n (80*n for nights). Also, we know that the family MUST pay a $20 fee. So, we can add that on to the expression to look like this, 80n+20=total cost.

Hope this helps!

Have a nice evening.

Answer:

0

Step-by-step explanation:

tan2°- cot 88° = tan 2° - tan (90-88)°

= tan 2°-tan 2° = 0

Answer:

Step-by-step explanation:

➡️tan 2° - cot 88°

➡️tan 2° - tan (90° - 88°)

➡️tan 2° - tan 2°

➡️ 0 ✅

Answer:

8.9 lbs

9.5 lbs

10.4 lbs

are correct three options for this

Step-by-step explanation:

but u should give options too

It took me a long time to find the answer from book..

so If you had given options, I would not have spent so much time to find the ans..

From the next time you have to take care of it okay

seeya !! (◕ᴗ◕✿)

Step-by-step explanation:

The AB is equal to AC because They are straight lines that both came from the same point Which is A. which shows congruecy or similarity

Answer:

BC ≈ 9.9 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11}[/tex] ( multiply both sides by 11 )

11 × sin64° = BC , then

BC ≈ 9.9 cm ( to 1 dec. place )

Answer:

-383.5

Step-by-step explanation:

4+2.5+1+...-33.5

a=4

c.d. d=2.5-4=-1.5

l=-33.5

l=a+(n-1)d

-33.5=4+(n-1)(-1.5)

-33.5-4=(n-1)(-1.5)

-37.5=(n-1)(-1.5)

[tex]n-1=(-37.5)/(-1.5)=25\\n=25+1=26\\n=26\\S_{26}=\frac{n}{2} (a+l)\\=\frac{26}{2} (4-33.5)\\=13(-29.5)\\=-383.5[/tex]

Let the time = X

Distance = Rate times time

Level roads = 18x

Hills = 10x

Total is 98 miles

18x+10x = 98

Add:

28x = 98

Divide both sides by 28:

x = 3.5

She spent 3.5 hours on each part

Total time = 3.5 + 3.5 = 7 hours

Step-by-step explanation:

A rectangular prism is shaped like a pyramid, but the base is longer in one direction than the other. i.e. a rectangle.  

A cross section of a shape is the new face that is formed when you cut a shape into two pieces with a straight cut. The problem tells us that the cross section is parallel to the base of the prism, therefore if the prism is placed on a flat surface with the base facing down, then we would be cutting horizontally.

The new face that is created on the shape after the cut, would be a rectangle due to the shape of the base.

Answer:

C.$27.00

Step-by-step explanation:

First, you have to multiply the percentage by the starting number, 8%*25 = 2;

Then you have to add that answer (2) to the starting number (25), 25+2 = 27;

So the total cost of the shirt would be $27.00.

Answer:

(9,36)

Step-by-step explanation:

Substitute the 4x for the y in second equation.

Basically setting them equal to each other because the both have 'y='

4x = 8x - 36

-4x  = -36 (subtract 8x from both sides)

x = 9         (divide by -4, both sides)

y = 4(9)     (Substitute the x value into first equation)

y = 36

Answer:

Two line are perpendicular when they are at right angles to each other.

The red line is perpendicular to the blue line in each of these examples:

Perpendicular Example

Step-by-step ex;planation:

probably this would help.

Answer:

the answer is 101.

Step-by-step explanation:

it is the smallest three-digit number whose value does not change on reversing its digits.

Answer:

(3,5)

5*3 = 15 .... 15-5 = 10

Step-by-step explanation:

Step-by-step explanation:

Dhuʻl-H. 7, 1441 AH · 2 answers

5)Find the value of x for which 2x ÷ 2- 4 = 45 6) Calculate the missing value of “x” in the following expression: (11/9)3 × (9/11)6 = (11/9)2x-1 7) 5 ...

Missing: ZKB = ‎150°. ‎(4х +

Answer:

N(2,3)

Step-by-step explanation:

According to the Question,

Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)

Thus. N(a,b) = (1+3)/2 , (6+0)/2  ⇒ N(2,3)

Answer:

x = 6/7

Step-by-step explanation:

7x/2+5=8

Subtract 5 from each side

7x/2+5-5=8-5

7x/2 = 3

Multiply each side by 2/7

2/7 * 7/2x = 3*2/7

x = 6/7

[tex]\huge{\boxed{\bold{ANSWER}}}[/tex]

╭⋟───────────────

[tex] \frac{7x}{2} + 5 = 8 \\ \frac{7x}{2} = 8 - 5 \\ \frac{7x}{2} = 3 \\ 7x = 3 \times 2 \\ 7x = 6 \\ x = \frac{6}{7} [/tex]

So, the answer is [tex]\boxed{x = \frac{6}{7}}[/tex]

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