The high school is hosting an event for seniors but will also allow some juniors to attend. The principal approved the event for 200 students and decided the number of juniors should be 25% of the number of seniors. How many juniors will be allowed to attend?

Answer:

The answer is the second one 687p + 920 = -705.6

Step-by-step explanation:

The decimal place in each number was shifted right 2 spots

The probability that the bus is filled in less than 3 hours from the time of the fare reduction is 0.8488

Let the time for calls for tickets is denoted by x.

The time between calls for tickets is exponentially distributed, with a mean of 30 minutes.

[tex]X \sim Exp(\lambda = \frac{1}{30})[/tex]

A small bus can carry four passengers. We have to find the probability that  the bus is filled in less than 3 hours from the time of the fare reduction.

That means there are more than 4 passengers in less than 180 minutes (3 hours).

Let N be the number of seats filled in 3 hours.

Then,

[tex]N \sim Poisson(\lambda t)[/tex]

Or,

[tex]N \sim Poisson(\frac{1}{30} \times180)[/tex]

[tex]N \sim Poisson(6)[/tex]

Then the required probability is:

[tex]P(N\geq 4) = 1 - P(N < 4)[/tex]      --------(1)

PDF for Poisson random variable with parameter λ is give by:

[tex]P(X =x) = \dfrac{{e^{-{\lambda}} {\lambda}^x}}{x!}[/tex]

Then for the variable N

P(N<4) = P(N=0)+P(N=1)+P(N=2)+P(N=3)

[tex]P(N < 4) = \dfrac{{e^{-{6}} {6}^3}}{3!} +\dfrac{{e^{-{6}} {6}^2}}{2!} +\dfrac{{e^{-{6}}{6}^1}}{1!}+\dfrac{{e^{-{6}} {6}^0}}{0!}[/tex]

On solving the above:

P(N<4) =0.0892+ 0.0446+0.0149+0.0025

P(N<4)= 0.1512

Substitute this value in (1)

P(N≥4) =1-0.1512

P(N≥4) =1-0.1512

P(N≥4) =0.08488

Hence, the required probability is 0.8488.

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Answer:

El monomio equivalente es [tex]\cos 5x \cdot \cos 2x[/tex].

Step-by-step explanation:

Un monomio es una entidad algebraica consistente en un componente, el polinomio dado puede ser transformado mediante el uso de la siguientes propiedades trigonométricas:

[tex]\cos (\alpha + \beta) = \cos \alpha \cdot \cos \beta - \sin \alpha \cdot \sin \beta[/tex]

Es decir:

[tex]\cos 7x + \sin 5x \cdot \sin 2x[/tex] Dado

[tex]\cos (5x+2x) + \sin 5x\cdot \sin 2x[/tex]

[tex]\cos 5x \cdot \cos 2x - \sin 5x \cdot \sin 2x + \sin 5x \cdot \sin 2x[/tex]

[tex]\cos 5x \cdot \cos 2x[/tex]

El monomio equivalente es [tex]\cos 5x \cdot \cos 2x[/tex].

Answer: [tex]9y-30mx[/tex]

Step-by-step explanation:

[tex]3y+6y=9y[/tex]

[tex]9y-3\cdot \:10mx[/tex]

[tex]3\cdot \:10=30[/tex]

[tex]=9y-30mx[/tex]

Please mark Brainliest

[tex]AC^{2} = AB^{2} + BC^{2}[/tex] (Pythagorean theorem)

[tex]65^{2} = 63^{2} + x^{2} \\[/tex]

4225 = 3969 + [tex]x^{2}[/tex]

[tex]x^{2} = 4225 - 3969[/tex]

[tex]x^{2} = 256[/tex]

x = [tex]\sqrt{256}[/tex]

x = 16 meters

B) 16 meters

Answer:

6 mi

Step-by-step explanation:

10560 yds ÷ 1760 yds = 6 mi.

Answer: 6 miles

Step-by-step explanation:

1 mile = 1,760 yds.

Then 10,560/1,760

         = 6

Therefore, 10,560 yards is equal to 6 miles

Answer:

Height of the cylinder = 15

Step-by-step explanation:

According to the question, TSA=968

TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968

2*22 (7+h) = 968

(7+h) = 968/44

7+h=22

h = 22-7

= 15 cm

Answer:

/25 is the trigonometric

tan=24

Answer:

cos(e) sin(e) is the he correct ratio

Answer:

Scalene triangle

Step-by-step explanation:

Let's first cancel out the obvious.

This is not a equilateral triangle because the angles are not equal.

Now if you draw out the triangle, you can see that the triangle is a little weird. Not at all a equilateral triangle.

It's also not a iscosles because no two angles are the same.

Thus we end up with scalene triangle.

Hope this helps!

Answer:

x-8

Step-by-step explanation:

You add the -7 and -1 and then put the x in front of your answer.

Answer: x-8

Step-by-step explanation:

x-7-1

-7-1=-8

x-8

Answer:

[tex]a2 + bc - ac - ab[/tex]

Answer:

a) 18

b) 10

c) x^2 - 4x + 5

d) 4x^2 + 2

Step-by-step explanation:

f(x) = 4x - 2

g(x) = x^2 + 1

a) f(5) = 4(5) - 2 = 20 - 2 = 18.

b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.

c) g(x - 2)...

g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.

d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.

Hope this helps!

Step-by-step explanation:

(1) Factor the GCF out of the trinomial on the left side of the equation. (2 points: 1 for the GCF, 1 for the trinomial) 2x²+6x-20=0

2x²+6x-20

2(x²+3x-10)

the factors are 2 and (x²+3x-10)

(2) Factor the polynomial completely. (4 points: 2 point for each factor)

2(x²+3x-10)

2(x²-2x+5x-10)

2(x(x-2) + 5(x-2))   group like terms

2(x+5)(x-2)

(3) If a product is equal to zero, we know at least one of the factors must be zero. And the constant factor cannot be zero. So set each binomial factor equal to 0 and solve for x, the width of your project. (2 points: 1 point for each factor)

constant = 2  cannot be zero

the other factors are (x+5) and (x-2)

(x+5)=0 => x= -5

or

(x-2)=0 => x=2

(4) What are the dimensions of your project? Remember that the width of your project is represented by x. (2 points: 1 point for each dimension)

thank you so much, sorry if it's a little confusing!!  

(it is indeed confusing, because physical dimensions cannot be negative)

The dimensions of the project (assumed a rectangle) are +2 and -5

A quadrilateral is a four sided shape with two diagonals that bisects each other. The sum total of the interior angles is always 360° for any quadrilateral no matter the shape of the quadrilateral.

It must be noted that both pairs of opposite sides of some quadrilaterals are equal e.g Parallelogram while some are not e.g Trapezium, rhombus, trapezoid etc.

When creating quadrilaterals that are not parallelograms, the following property of such quadrilateral will therefore remains the same.

• The sum of the interior angles will still be 360°.

The following properties will change when creating quadrilaterals that are not parallelograms.

• Both pairs of opposite sides will not be parallel. e.g Trapezoids and rhombus

• Both pairs of opposite sides will not be congruent (will not be the same)

Answer:

Options A and C are correct.

- The sum of the interior angles will still be 360°.

- Both pairs of opposite sides will not be congruent.

Step-by-step explanation:

Complete Question

alyssamonae02

04/20/2020

Mathematics

Middle School

+5 pts

Answered

Conjecture about the properties that change and the properties that stay the same when creating quadrilaterals that are not parallelograms. The new quadilateral has angles

Angle LMN = 85°

Angle MNO = 99°

Angle NOL = 81°

Angle OLM = 95°

Check all that apply.

- The sum of the interior angles will still be 360°.

- Both pairs of opposite sides will not be parallel.

- Both pairs of opposite sides will not be congruent.

- The diagonals will not bisect each other.

Solution

A sketch of the new quadilateral is provided in the attached image.

Checking the statements one at a time.

- The sum of the interior angles will still be 360°.

The sum of interior angles for all four sided plane figures is 360°, hence, the new quadilateral too, although, not a parallelogram anymore, will still have interior angles that sum up to 360°. So, this is a statement that doesn't change with change in figure from parallelogram to other quadilaterals.

- Both pairs of opposite sides will not be parallel.

We cannot tell if this is true just from the information on the angles provided.

- Both pairs of opposite sides will not be congruent.

This is evident as one of the condition for opposite sides to be congruent is for opposite angles too to be equal. None of the opposite angles are equal, hence, this statement is true too.

- The diagonals will not bisect each other.

This also isn't evident from the limited information provided. So, we cannot select it as a correct statement.

Hope this Helps!!!

Answer:

x−5=11−3x

Group all the constants at one side

That's

x + 3x =11 + 5

4x = 16

Divide both sides by 4

4x/4 = 16/4

x = 4

Hope this helps you

Answer:

x=4

Step-by-step explanation:

x−5=11−3x

take care of all the variables

you want to put the variables on one side and the numbers on the other

x−5=11−3x

+3x     +3x

4x-5=11

+5    +5

4x=16

÷4  ÷4

x=4

hope this helps :)

Answer:

The missing frequencies are x = 8 and y = 43.

Step-by-step explanation:

Median Value =70

Then the median Class =60-80

Let the missing frequencies be x and y.

Given: Total Frequncy = 200 , Median = 46

[tex]\left|\begin{array}{c|ccccccc}Value&0-20&20-40&40-60&60-80&80-100&100-120&120-140\\Frequency&12&30&x&66&y&27&14\\$Cumu.Freq&12&42&42+x&108+x&108+x+y&135+x+y&149+x+y\end{array}\right|[/tex]

From the table

[tex]\sum f_i =149+x+y[/tex]  

Here, n = 200

n/2 = 100

Lower Class Boundary of the median class, l=60

Frequency of the median class(f) =66

Cumulative Frequency before the median class, f=42+x

Class Width, h=10

[tex]Median = l + \dfrac{\dfrac{n}{2} - c.f }{f} \times h[/tex]

[tex]70 = 60+ \dfrac{100- 42+x }{66}\times 10\\70 = 60+ \dfrac{58+x }{66}\times 10\\70-60=\dfrac{58+x }{66}\times 10\\10*66=10(58+x)\\58+x=66\\x=66-58\\x=8[/tex]

200=149+x+y

200=149+8+y

y=200-(149+8)

y=43

Hence, the missing frequencies are x = 8 and y = 43.

Answer:

Both types of lines are built on the same plane although they meet different objectives for which they are built.

Step-by-step explanation:

The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.

Answer:

False

Step-by-step explanation:

Yes, they do give vertical angles, which by definition means opposite angles created by intersecting lines. BUT, these angles are not supplementary, as they don't always complete eachother. If they were supplementary, they would not be vertical angles. Instead, they create CONGRUENT veritcal angles.

Hope this helped!

The statement is False which is intersecting chords do not form a pair of supplementary and vertical angles.

A chord of a circle is defined as the line segment whose both endpoints of that line are on the circumference of the circle.

Vertical Angles are the angles formed facing opposite to each other when two lines intersect each other.

Supplementary angles are the adjacent angles whose sum is 180° and together form a straight line.

So, here when two intersecting chords of the circle intersect each other at a point, they form two pairs of vertical angles, and according to the theorem of vertical angle, vertical angles are congruent.

As vertical angles are opposite to each other, so they can't be adjacent and can not form always 180° by adding their values and do not make straight line together.

But Intersecting chords of the circle can form a pair of congruent vertical angles.

So the given statement: Intersecting chords of a circle form a pair of supplementary, vertical angles is False.

Learn more about supplementary angles

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Answer:

A

n^2+3

1. 1^2+3= 4

2. 2^2+3= 7

3. 3^2+3= 12

4. 4^2+3= 19

5. 10^2+3= 103

B

2n^2

1. 2*1^2=2

2. 2*2^2= 8

3. 2*3^2= 18

4. 2*4^2= 32

5. 2*10^2= 200

Answer:

see below

Step-by-step explanation:

n^2+3

n=1:  1^2+3 = 1+3 =4

n=2:  2^2+3 = 4+3 =7

n=3:  3^2+3 = 9+3 =12

n=4:  4^2+3 = 16+3 =19

n=10:  10^2+3 = 100+3 =103

2n^2

n=1:  2*1^2 = 2*1 =2

n=2:  2*2^2 = 2*4 =8

n=3:  2*3^2 = 2*9 =18

n=4:   2*4^2 = 2*16 =32

n=10:   2*10^2 = 2*100 =200

Answer:

a is 2q^2r

b is 3s^2t

the expression factored is...

(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)

Step-by-step explanation:

Answer:

p + q + r is 12.

Step-by-step explanation:

Prime factors of a number is the expression of the number in terms of the product of its factors that are prime numbers only.

The prime factor of 686 = 2 x 7 x 7 x 7. Which can be expressed in the form;

p × [tex]q^{r}[/tex] as 2 × [tex]7^{3}[/tex].

So that, p = 2, q = 7 and r = 3.

p + q + r = 2 + 7  + 3

              = 12

Therefore, the sum of p, q, and r is 12.

Answer:

You can expect at least 9 of her postcards to arrive within a week

To find that, we multiply the number of postcards by the probability

15 x 0.62 = 9.3

Hope this helps

Good Luck

Answer:

$42 for 8 tickets

Step-by-step explanation:

To tell which is the better deal you need to find out how much each ticket costs per scenario

$18 for 3 tickets you will need to do 18/3 which will give you $6 a ticket

$42 for 8 tickets you will need to do 42/8 which will give you $5.25 a ticket

$42 option is cheaper per ticket so it is therefore the better option.

Answer:

The product of the digits of n is 8

Step-by-step explanation:

An arithmetic series is of the form

The nth term of an arithmetic series = aₙ + (n - 1)d

Therefore, for the series, we have;

n!, (n+1)!, (n+19)n!

Therefore;

n! + (n - 1)·d = (n+1)! = (n + 1)·n! = n·n! + n!

n·n! = (n - 1)·d

n! + (n + 1 - 1)·d =  (n+19)n!

n! + n·d =  n·n!+19·n! = (n - 1)·d +19·n! = n·d - d + 19·n!

n! - 19·n! = n·d - n·d - d

-18·n! = -d

Therefore, d = 18·n!

n! + d = (n + 1)!

n! + 18·n! = (n + 1)·n!

n!·(18 + 1) = (n + 1)·n!

18 + 1 = n + 1

∴ n = 18

Hence the product of the digits of n = 1 × 8 = 8

Answer:

attached the drawing

Step-by-step explanation:

hope it works

Answer:

ab+c=d

ab=d-c

a=d-c/b

Answer:

[tex]a=\frac{d-c}{b}[/tex]

Step-by-step explanation:

ab+c=d

in order to find the value of a subtracting c on both sides

ab+c-c=d-c

ab=d-c

dividing b on both sides

ab/b=(d-c)/b

[tex]a=\frac{d-c}{b}[/tex] is the answer

i hope this will help you :)

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the SUBTRACTION.

so here we are going to use the BODMAS Rule,

Answer is -11

Answer:

Step-by-step explanation:

Can do skmeone help me

Answer:

Step-by-step explanation:

Like your other question, let's break it down systematically

6x + 9y - 9(6x - 3y + 8z)

Use the distributive property

6x + 9y - 9(6x - 3y + 8z)

6x + 9y - 54x - 27y + 72z

Match like terms

6x - 54x = -48x

9y - 27y = -18y

72z - 48x - 18y