100 students are interviewed to see which of biology, chemistry or physics they prefer.
57 of the students are girls. 34 of the girls like biology best.
27 of the boys prefer physics.
20 out of the 28 who prefer chemistry are girls.
What percentage of the students prefer biology?

Answers

Answer 1

Step-by-step explanation:

everything can be found in the picture

100 Students Are Interviewed To See Which Of Biology, Chemistry Or Physics They Prefer. 57 Of The Students

Related Questions

Three times a number x minus a half a second number y ​

Answers

Answer:

3x - y/2

Step-by-step explanation:

Seven-ninths of the students surveyed like to participate in extra curricular activities after school. Which decimal is equivalent to the fraction of students
who like to participate in activities after school?
O 0.7
0.7
0.78
O 0.79

Answers

Answer:

0.7

Step-by-step explanation:

7/9 = 0.7

Answer:

0.7 (with the repeating sign on the 7)

Step-by-step explanation:

During a single day at radio station WMZH, the probability that a particular song is played is 6/7. What is the probability that this song will be played on at least 5 days out of 6 days? Round your answer to the nearest thousandth.

Answers

Answer:

The required probability is 0.462.

Step-by-step explanation:

Probability to play the song = 6/7

Probability not to play the song = 1 - 6/7 = 1/7

Required probability  

= Probability to play 5 days x probability not to play 1 one + Probability to play 6 days

[tex]=\left (\frac{6}{7} \right ) ^5\times \frac{1}{7} + \left (\frac{6}{7} \right ) ^6\\\\= \frac{6^5 +6^6}{7^6}\\\\=0.462[/tex]

Given m||n, find the value of x and y

Answers

Answer:

x=20,y=34

Step-by-step explanation:

x+14=2x-6 (vertically opposite angles)

x-2x = -6-14

-x = -20

x=20

x+14=y (corresponding angles)

20+14=y

y=34

Answer:

x = 20, y = 34

Step-by-step explanation:

(2x - 6) and (x + 14) are vertical angles and are congruent, then

2x - 6 = x + 14 ( subtract x from both sides )

x - 6 = 14 ( add 6 to both sides )

x = 20

Then

2x - 6 = 2(20) - 6 = 40 - 6 = 34

y and (2x - 6) are alternate angles and are congruent , so

y = 34

Solve for h
h(x)=a(x-h)^2+k
h(x)=x^2-8x+14

Answers

Answer:

h = 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

Given

h(x) = x² - 8x + 14

Express h(x) in vertex form by using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

h(x) = x² + 2(- 4)x + 16 - 16 + 14

      = (x - 4)² - 2

Compare to h(x) = (x - h)² + k , then

h = 4

Please answer quickly this is due today and I just can’t figure it all out!!

In Andrews furniture shop he build bookshelves and tables each type of furniture takes him about the same time to make he figures he has time to make at most 25 pieces of furniture this by the Saturday the material for each book shelf cost him $20 in a materials for each table cost and $45 he has $675 to spend on materials Andrew makes a profit of $60 on each bookshelf and a profit of $100 for each table how many of each piece of furniture should Andrew make to maximize his profit 1. write a system of inequalities that represents Andrews constraints explain what each of the inequalities represents you should have four inequalities

Answers

Answer:

A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves

y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend.

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables.

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices.

(0,0)

(18, 7)

(0, 15)

(33.75, 0) or (33, 0) if you insist on rounding.

Step-by-step explanation: Good luck and hope this helps :)

Daniel trabalha em um zoológico e cuida da parte tá comida dos leões . nesse zoológico, a quantidade de carne que eles consomem é proporciao ao seu peso. Se um dos leões pesa 18arroubas, qual o corespondente em kg

Answers

Answer:

270kg!

Step-by-step explanation:

what is 5\8 divided by 1\4​

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

2 1/2

Step-by-step explanation:

5/8 ÷ 1/4

Copy dot flip

5/8 * 4/1

Rewriting

5/1 * 4/8

5/1 * 1/2

5/2

Writing as a mixed number

2 1/2

What is the gradient of the line that passes through the points (4.2) and (0.4)

Answers

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Gradient Formula= [tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

[tex]y_{2}=4\\y_{1}=2\\x_{2}=0\\x_{1}=4[/tex]

[tex]=>\frac{4-2}{0-4}[/tex]

[tex]=> -\frac{1}{2}[/tex]

That's it. Hope that helped.


A boy standing between two pillars of equal height observes the angle of a
elevation of the top of pillars to be 30°. Approaching 15m towards any one
of the pillar, the angle of elevation is 45°. Find the height of the pillars and the distance between them ​

Answers

Answer:

15m

Step-by-step explanation:

did the math

Which function is a quadratic function?
O p(x) = 2x(x2 + 6) + 1
m(x) = -4(x + 3) - 2
Ot(x) = -8x²(x2 – 6) + 1
Oh(x) = 3x(x - 2) - 4

Answers

The answer is the fourth choice

1. Identify the following numbers as rational or irrational.
a. -15.4
b. 27/5
c. 0.99999....
d. V

Answers

a. -15.4 is a rational number.
b. 27/5 is a rational number.
c. 0.99999… is an irrational number.
d. √7 is an irrational number.

Find the area of a regular hexagon with radius length 8

Answers

Of purse you have to use the length and then the radius to find it out I haven’t really study this that much tho! It’s better to ask someone more knowledgeable then me

In the circle below, AD is a diameter and AB is tangent at A. suppose mADC=228. Find the measures of mCAB and mCAD. Type your numerical answers without units in each blank

Answers

Answer:

m∠CAB = 66°

m∠CAD = 24°

Step-by-step explanation:

m∠CAB

The given parameters are;

The measure of arc m[tex]\widehat{ADC}[/tex] = 228°

The diameter of the given circle = [tex]\overline{AD}[/tex]

The tangent to the circle = [tex]\underset{AB}{\leftrightarrow}[/tex]

The measure of m∠CAB and m∠CAD = Required

By the tangent and chord circle theorem, we have;

m∠CAB = (1/2) × m[tex]\widehat{AC}[/tex]

However, we have;

m[tex]\widehat{AC}[/tex] + m[tex]\widehat{ADC}[/tex] = 360° the sum of angles at the center of a circle is 360°

∴ m[tex]\widehat{AC}[/tex] = 360° - m[tex]\widehat{ADC}[/tex]

Which gives;

m[tex]\widehat{AC}[/tex] = 360° - 228° = 132°

m[tex]\widehat{AC}[/tex] = 132°

Therefore;

m∠CAB = (1/2) × 132° = 66°

m∠CAB = 66°

m∠CAD

Given that  [tex]\overline{AD}[/tex] is the diameter of the given circle, we have

The tangent, [tex]\underset{AB}{\leftrightarrow}[/tex], is perpendicular to the radius of the circle, and therefore [tex]\underset{AB}{\leftrightarrow}[/tex] is also perpendicular to the diameter of the circle

∴ m∠DAB = 90° which is the measure of the angle formed by two perpendicular lines

By angle addition property, we have;

m∠DAB = m∠CAB + m∠CAD

∴ m∠CAD =  m∠DAB - m∠CAB

By substitution, we have;

m∠CAD = 90° - 66° = 24°

m∠CAD = 24°

What is 1 1/8-3/4 also what is 3 5/8-2 7/8

Answers

Answer: 4.25

Step-by-step explanation: Conversion a mixed number 3 1/

8

to a improper fraction: 3 1/8 = 3 1/

8

= 3 · 8 + 1/

8

= 24 + 1/

8

= 25/

8

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

8

= 24/

8

b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25

c) Write a previous answer (new numerator 25) over the denominator 8.

Three and one eighth is twenty-five eighths

Conversion a mixed number 2 3/

8

to a improper fraction: 2 3/8 = 2 3/

8

= 2 · 8 + 3/

8

= 16 + 3/

8

= 19/

8

To find new numerator:

a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/

8

= 16/

8

b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19

c) Write a previous answer (new numerator 19) over the denominator 8.

Two and three eighths is nineteen eighths

Add: 25/

8

+ 19/

8

= 25 + 19/

8

= 44/

8

= 4 · 11/

4 · 2

= 11/

2

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 8 = 64. In the next intermediate step, , cancel by a common factor of 4 gives 11/

2

.

In words - twenty-five eighths plus nineteen eighths = eleven halfs.

Conversion a mixed number 1 1/

4

to a improper fraction: 1 1/4 = 1 1/

4

= 1 · 4 + 1/

4

= 4 + 1/

4

= 5/

4

To find new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/

4

= 4/

4

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 4.

One and one quarter is five quarters

Subtract: the result of step No. 3 - 5/

4

= 11/

2

- 5/

4

= 11 · 2/

2 · 2

- 5/

4

= 22/

4

- 5/

4

= 22 - 5/

4

= 17/

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - eleven halfs minus five quarters = seventeen quarters.

y=5/2x-5/6
find the slope and simplify

Answers

Answer:

5/2

Step-by-step explanation:

The slope of this equation is 5/2

Answer: 5/2

Step by step explanation:

What is the range of the function?
O all real numbers
O all real numbers greater than 0
O all real number less than or equal to 0
O all real numbers greater than or equal to 0

Answers

2. All real numbers greater than 0

The sum of $4500 is divided among Anesha, Sian and Joanne in the ratio 7: 11: 12
respectively.
Calculate
(i) The amount of money each person received
(ii) The percentage of the total that Joanne received.

Answers

12.35 because you are divided in to equal parts

calculate (4.8×10⁵)÷(1.2×10³),give your answer in standard form to 3 significant figures​

Answers

Step-by-step explanation:

pleae mark as brain list please give me some thanks please

= 4.8 / 1.2 x 10^5 / 10^3
= 4 x 10^2
= 4.00 x 10^2 (3 sf)

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 46°

Step-by-step explanation:

64° + 70° + x = 180°

x = 180° - 64° - 70°

x = 46°

Which gives the correct values for points A,B,C, and D?

Answers

Answer:

The answer would be A

Step-by-step explanation:

The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?

Answers

Answer:

(3, 0)

Step-by-step explanation:

A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.

The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:

[tex]4p(y-k)=(x-h)^2[/tex]

The directrix is at y = k - p, and focus is at (h, k + p).

Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:

[tex]-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\[/tex]

Comparing with the standard form:

The center = (h, k) = (3, 4)

Also, -16 = 4p

p = -4

Directrix is at y = k - p = 4 - (-4) = 8

Directrix is at y = 8

The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)

The focus is at (3, 0)

Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)

A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8​

Answers

Answer:

D

Step-by-step explanation:

4x+3y -4x -y = 17 -9

<=> 2y =8

find the area of a circle diameter equals to 30 cm​

Answers

Answer:

225Pi (in terms of Pi)

Or

706.5cm

Step-by-step explanation:

Area = Pi * radius^2

Radius is half of the diameter, so it is 15.

Area = Pi*15^2

Which is:

225Pi

Or

706.5

Answer:

The area of the circle is

[tex]225\pi[/tex]

Step-by-step explanation:

The diameter equals 30 cm, so the radio equals 15 cm.

The formula of the circle area is

[tex]\pi \times {r}^{2} [/tex]

Then,

[tex]\pi \times {15}^{2} = 225\pi[/tex]

Simplify 6V 80.
0 6+16 51
0 6+415
0 6+1615
O 6+4v5i

Answers

Answer:

2nd option

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{-1}[/tex] = i

Simplifying the radical

[tex]\sqrt{-80}[/tex]

= [tex]\sqrt{16(5)(-1)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex]

= 4 × [tex]\sqrt{5}[/tex] × i

= 4i[tex]\sqrt{5}[/tex]

Then

6 + [tex]\sqrt{-80}[/tex]

= 6 + 4i[tex]\sqrt{5}[/tex]

Which graph represents y as a function of x?

Answers

Answer:

A

Step-by-step explanation:

By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.

Evaluate: 5 + 2 • 42?

Answers

5 + ( 2 × 42 ) =

5 + 84 =

89

.....

.....

Answer:

89

Step-by-step explanation:

So we will follow PEMDAS in this exact order:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

5 + 2 • 42 Equation

5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication

5 + 84 We have no division so we move on to addition

= 89 We have no subtraction so this is our final answer

For EASY BRAINLIEST!!!

Answer as many as you can !!

Answers

That’s a lot of work to do but you probably got it by now .

Find the size of the angle below

Answers

Answer:

i wish i could tell you

Step-by-step explanation:

C) –7c^5 + 13c^5 + c^5=

Answers

Answer:

please mark as brilliant thanks for the above

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