out of the total 225 students surveyed, what is the probability that a randomly selected student who is enrolled in spanish will also be taking math?

Answer:

The surface area of the prism is 544 in²

Step-by-step explanation:

Given;

base of the triangular prism, b = 12 in

side length, = 10 in and 14 in

height = 8 in

The surface area is calculated as follows;

S.A = 2(area of the triangular face)  + area of the rectangualr faces

S.A = 2( ¹/₂ x 12 x 8)  +  2(14 x 10)  + 14 x 12

S.A = (96)  + 2(140)  +  (168)

S.A = 96  +  280  +  168

S.A = 544 in²

Therefore, the surface area is 544 in²

Answer:

x = 3, −10

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

Let c represent the number of children ($1.75 each) and a represent the number of adults ($2.00 each).

We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c

We also know that $1.75 c + $2.00 a = $609.25

By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25

Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25

Subtract $680 from both sides and combine like terms to get - $0.25 c = - $70.75

Now, divide both sides by -$0.25 to get c = 283, the number of children.

The number of adults is 340 - c or 340 - 283 = 57

Answer:

227 children and 109 adults

Step-by-step explanation:

227*1.5+109*2.5=613

227+109=336

Answer:

Step-by-step explanation:

25x^2-9y^2

=(5x)^2-(3y)^2

=(5x-3y)(5y+3y)

Answer:

=2(25×-9y) okay na po bayan

Option D represents a data set with a lower quartile of 24 and an upper quartile of 42.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Similarly, the second quartile (also called median) is approximately in mid of the data.

The third quartile has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right

Hence, the box plot that represents a data set with a lower quartile of 24 and an upper quartile of 42 from the given option is D.

Learn more about quartiles here:

brainly.com/question/9260741

#SPJ1

Answer:

slope is undefined

Step-by-step explanation:

The slope of a vertical line parallel to the y- axis is undefined

Answer:

S = 9180°

Step-by-step explanation:

Given the following data;

Number of sides = 53

To find the sum of interior angles of a 53-gon;

Mathematically, the sum of the interior angles in a regular polygon is given by the formula;

S = 180(n - 2)

Where;

n is the number of sides.

S is the sum of the interior angles

Substituting into the formula, we have;

S = 180(53 - 2)

S = 180 * 51

S = 9180°

Answer:

Let p (x) = x + 1 / x = 2

= x + 1 = 2x

= 2x - x = 1

or, x = 1.

let g(x) = x^3 + 1/x^3

since, x = 1

therefore,

g (1) = (1)^3 +1 / (1)^3

= 1 + 1 / 1

= 2 / 1

= 2

So, the answer to your question is 2.

x + 1 / x = 2

x × ( x + 1 / x ) = x × 2

x + 1 = 2x

x - x + 1 = 2x - x

x = 1

_________________________________

x^3 + 1 / x^3 =

1^3 + 1 / 1^3 =

1 + 1 / 1 =

2 / 1 =

2

Answer:  [tex]\dfrac{6}{8}[/tex]

Step-by-step explanation:

Given

There are 6 Programmers and 8 Analysts working on a team at CIA.

Ratio of Programmers to analysts is

[tex]\Rightarrow \dfrac{6}{8}[/tex]

Un-simplified ratio is [tex]\dfrac{6}{8}[/tex]

Simplified ratio is [tex]\dfrac{3}{4}[/tex]

Answer:

Step-by-step explanation:

f(x) = -4cos(3x-pi) +2

compare to f(x) = A cos (B(x+C))+D

A is amplitude =4

Period is 2pi/B so period = 2pi/3

Phase shift is C so phase shift = -pi (this could be positive if it shifted to the left)

Midline is at D so midline is y=2

Answer:

7.9 X 10^3

standard form means it has to between 1 and 10

[tex] c.\:{x}^{ - 4} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} [/tex]

Note:-

[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Given:

The number is 3091.

To find:

The number of hundreds blocks if there are no thousands block.

Solution:

The given number is 3091.

It can be written as:

[tex]3091=3000+0+90+1[/tex]

[tex]3091=3\times 1000+0\times 100+9\times 10+1\times 1[/tex]

[tex]3091=3\ Thousands+0\ Hundreds+90\ Tens+1\ Ones[/tex]

There are no thousands block. So,

[tex]3000=30\times 100[/tex]

[tex]3000=30\ Hundreds[/tex]

Therefore, the number of hundreds blocks in 3091 is 30.

Answer:

Step-by-step explanation:63

Answer:

-2 5/8

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

3-5=-2

6/8-1/8=5/8

Answer:

C

Step-by-step explanation:

if you don't have from same x different outcomes is a function

think that x is a day you count votes, you can not get for the same day different y number of votes ( something is fishy then)

A. not a function because (6, -3) and (6, 3)

B. not  a function because (4,7) and (4,2)

C. is a function

D. not a function because (2, -1) (2,1) (2,3)

Answer:

286

Step-by-step explanation:

Use term formula for +/-

Tn = a + (n-1)d

n= number of term

a= first number in sequence

d= difference between each number

T55 = 16 + (55-1)5

T55 = 16 + 270

=286

1 term= 5

10 terms = 50

16+ (55-1)5

16+54x5

54x5= 270

270+16=286

The 55th term would be 286

Answer:5

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

Answer:

question 1 is,  the area is 119

question two is, the base length is  18

Step-by-step explanation:

PART ONE

To figure this out we need to know that to find the area the equation is A=1/2bh so lets create our equation

A=1/2(17)(14)

A=1/2(238)

A=119

119 is your area

PART TWO

to find out the length we need to basically reverse what we did in the first part

270*2=540

540 divided by 30 (the height)=18

18 is the base length

to show it is correct we can use these numbers to find the answer  

A=1/2(18)(30)

A=1/2(540)

A=270

Answer:

did u try looking it up lol?

Step-by-step explanation:

Answer:

approximately 157 square units

Step-by-step explanation:

To find areas of all shaded regions, find the area of each of the three triangles

Area of circle with diameter of 6, radius of 3 is:

A = π3² = 9π

Area of circle with diameter of 8, radius of 4 is:

A = π4² = 16π

Area of circle with diameter of 10*, radius of 5 is:

A = π5² = 25π

*Found this value by using the Pythagorean Theorem for the right triangle

Total Area = 50π which is approximately 157 square units

Hello there I hope you are having a Great day, Percentage increase = 36% × 170 =  36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)

Answer:

x=19 degree

2x=2*19

=38 degree

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Number of brownies = 1 dozen

1 dozen = 12

Fraction of brownies that had nut = 2 /6

Hence, Number of brownies dad doesn't eat :

Fraction that had nuts * number of brownies

2/6 * 12

1/3 * 12

= 4

Answer:

Ana fica com a quantia de 560

Step-by-step explanation:

Dado

Ana ganha = 1200

Ela gasta um quinto com comida e dois terços do que resta com o aluguel

Valor que sobrou com Ana depois de gastar com comida e aluguel

1200 - 1/5 (1200) - 1/3 (1200)

1200 - 240 -400

1200 -640

560

Ana fica com a quantia de 560

Answer:

the answer is 6.8

Step-by-step explanation:

The computation is shown below:

Since we have to determined the 50th percentile play

So,

= 50(nth value) ÷ number of observations

= 50(nth value) ÷ 10

= 5th value

= 6.8

Hence the answer is 6.8

The same is to be considered and relevant