In a class of 40 students, 30 read chemistry and 20 read physics. If all the students read at least one if the subjects, find the probability that a student selected at rand from the class reads only chemistry

Answer: y = -2/5x -4

Step-by-step explanation:

First we can notice that the line is not going through the origin but is is going through the y-intercept which is -4.In this case the the equation of the line has be in slope intercept form as if  y=mx +b where only m and b is indicated and  m is the slope and b is the y intercept. So since we already know the y intercept is -4 we need to find the slope using  the points on the line.

The points (0,-4) and ( -5,-2)   lies on the line and we could use them to find the slope. To find the slope,we need to find the change in the y coordinates and divide it by the change in the x coordinates.

-4 -(-2) =  -2

0 - (-5) = 5      

slope:  -2/5

So since the slope is -2/5 and the y intercept is -4 then we will have the equation,

y= -2/5x - 4

Answer:y=28

Step-by-step explanation:

all triangles add up to 180 and this triangle is an isosceles triangle so 34 should be equal to x-5 meaning that two of the angles are 34 degrees and you just need to subtract 34(2) from 180 which is  180-68 to give you 112. Then since this is the value of 4 times y, just divide 112 by four to isolate the variable and you get 28.

Answer:

very urgent by the get together his used handcrafted

Step-by-step explanation:

hand i do like anisajish

Answer:

a(sub n)=a(sub n-1)÷4 when n≥2

Step-by-step explanation:

a(sub n)=a(sub n-1)÷4 when n≥2 (the second term)

sorry - my iPad doesn’t let me do subscript. You just have to write an n and n-1 in the lower subscript position after a

Answer:

1)2A/b=h

2)m1=Fgr'2/Gm2

Step-by-step explanation:

Hope it helps you

Answer:

(D) C'D' and CD are equal in length

Step-by-step explanation:

When we reflect a line, nothing changes about it except it's position.

The line never gets dilated in any way.

This means that B and C must be incorrect, since they refer to dilating the line.

Now we can think about it. If we reflect a line across the y-axis, that means that the line will be parallel to the original line. This means A is false.

That leaves D.

Hope this helped!

Answer:  fixed charge = 15,   extra day = 3

Step-by-step explanation:

Let x represent the charge for an extra day (after 3 days)

Let y represent the fixed charge (for first 3 days)

Equation 1:    7 days is 4 extra days   -->      4x + y = 27

Equation 2:   5 days is 2 extra days   -->     2x + y = 21

Multiply the second equation by -1 and add the two equations together:

                   4x + y = 27

                 -2x  - y = -21  

                  2x       =   6

                          x = 3

Input x = 3 into either equation to solve for y:

2x + y = 21

2(3) + y = 21

         y = 15

Answer:

The 1st error that Carlos made was in Step 2...

In step 2 , Carlos multiplied 14 only with 40. If he would have multiplied 14 with both 40 & 9 , then it could have been alright.....

Answer:

b. length is 4 more than the width.

Step-by-step explanation:

Length - width = x + 4 - x = 4.

Answer:

[tex]\bold{\sqrt{75}}[/tex]

Step-by-step explanation:

Given

A [tex]\triangle GHJ[/tex] in which

[tex]\angle GHJ = 90^\circ[/tex]

Hypotenuse = 10

Length of another side = 5

To find:

HJ = ?

Solution:

Kindly refer to the image attached in the answer area.

We know that there are only 3 sides in a triangle.

We are given hypotenuse is 10.

i.e. GJ = 10

To find HJ, Base = ?

So, we are given the side length of GH, perpendicular i.e. 5.

Kindly refer to attached image for further details.

Let us use Pythagorean theorem here.

According to Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow GJ^{2} = GH^{2} + HJ^{2}\\\Rightarrow 10^2=5^2+HJ^2\\\Rightarrow HJ = \sqrt{100-25}\\\Rightarrow \bold{HJ = \sqrt{75}}[/tex]

Answer:

hJ = B     5 route 3

Step-by-step explanation:

got it right on edg 2020-2021

Answer:

Step-by-step explanation:

4/5 is less than 1, so multiplying 5/8 by 4/5 results in a product smaller than the two factors.

Answer:

32

Step-by-step explanation:

1,024 will be a perfect square if it is the product of 2 of the same numbers:

Calculate the square root of 1024:

[tex]\sqrt{1024}[/tex]

= 32

So, the number is 32

Answer:

32

Step-by-step explanation:

Let the unknown number be n.

When multiplied together, the product is 1,024. Therefore:

[tex]n\cdot n=1024[/tex]

Combine:

[tex]n^2=1024[/tex]

Take the square root of both side:

[tex]n=\sqrt{1024}=32[/tex]

Therefore, the unknown number is 32.

Answer:

[tex]x=1[/tex]

B

Step-by-step explanation:

So we have the equation:

[tex]3x-x+2=4(2x-1)[/tex]

Combine like terms on the left:

[tex]3x-x+2=4(2x-1)\\2x+2=4(2x-1)[/tex]

Distribute out the right:

[tex]2x+2=4(2x-1)\\2x+2=8x-4[/tex]

Subtract 2x from both sides. The left side cancels:

[tex](2x+2)-2x=(8x-4)-2x\\2=6x-4[/tex]

Add 4 to both sides. The right side cancels:

[tex]2+4=(6x-4)+4\\6=6x[/tex]

Divide each side by 6:

[tex](6)/6=(6x)/6\\x=1[/tex]

Therefore, the solution is: x=1.

Answer:

n =59

Step-by-step-explanation :

Answer:

[tex]B = \frac{3}{2} * 21,356[/tex]

Step-by-step explanation:

Given

Represent Jimmy with J and Bob with B

[tex]J = 21,356[/tex]

[tex]B = 1\frac{1}{2} * J[/tex]

Required

Determine the expression for B

[tex]B = 1\frac{1}{2} * J[/tex]

Substitute 21,356 for J

[tex]B = 1\frac{1}{2} * 21,356[/tex]

Convert Mixed fraction to improper

[tex]B = \frac{3}{2} * 21,356[/tex]

The above is an expression for B

Solving further, we have

[tex]B = \frac{3 * 21,356}{2}[/tex]

[tex]B = \frac{64068}{2}[/tex]

[tex]B = 32034[/tex]

Answer:

The absolute value for x = 1/6

Step-by-step explanation:

Leave |x + 3| alone

2/3|x + 3| = 11/6 + 1/2 ➡ 2/3|x + 3| = 14/6

|x + 3| = 14/6 ÷ 2/3 ➡ |x + 3| = 7/2 now we write two equations

x + 3 = 7/2 or x + 3 = -7/2 first we subtract 3 from all

x = 1/6 or x = -13/6 since we are asked to find the absolute value, the answer would be 1/6

Answer:

(4h+2k)

Step-by-step explanation:

y685

Answer: We should first use order of operations to multiply 6 and -5. Then we add and subtract from left to right.

Demo:

6 * (-5) = -30

Equation looks like: -2 - 30 + 9

-2 - 30 = -32

-32 + 9 = -23

-23 is the answer to this equation.

Answer:

I think this is slope. So for each point you go up 3 units. All of the point should connect into a straight line.

Step-by-step explanation:

Mark Point R on the graph to its coordniates. Do the same to Point D, L and F. after you are done then go back to each point and go up 3 units/points. Then draw a line connecting the 4 points. Then you will have your answer. Hope this helped!

Answer:

0.16

Step-by-step explanation:

We can convert 4 / 25 to 16 / 100. Since 100 ends in 2 zeroes, we know that there will be 2 digits after the decimal point, therefore, the answer is 0.16.

Answer:

0.16 is the answer

Step-by-step explanation:

just simply divide 4 by 25 and you ll get the answer

Answer:

I think of (C.85) can't be constructed

Step-by-step explanation:

hope this helps you :)

Answer:

C) 85

Step-by-step explanation:

Hope this helps

Answer:

Hey there!

The domain is the range of all the x values.

So for this graph, the domain would be [tex]-10<x\leq 8[/tex].

Note that the open circle means < or > and the closed circle means ≤ or ≥.

Let me know if this helps :)

Answer:

Problem:

"Assume that a, b, and c are real numbers. If a > b, and (a + c) > (b + c), then what is true of c?"

Answer:

c can be any real number. There is no other conclusion we can come to. This is simply the addition property of inequality.

Answer:

Step-by-step explanation:

c is a real number. We can not know if it is  positive or negative

Answer:

[tex]\large \boxed{\mathrm{The \ product \ of \ N \ and \ 6}}[/tex]

Step-by-step explanation:

[tex]\sf N \cdot 6[/tex]

[tex]\sf N \ and \ 6 \ are \ multiplied.[/tex]

[tex]\sf The \ product \ is \ the \ result \ of \ multiplying.[/tex]

Answer:

a (a^2 + a + ab )

Step-by-step explanation:

Step-by-step explanation:

Step 1:

To simplify this polynomial just take the term a as common

a(a^2+a+b)

Answer: n = 600.25 ≈ 601 ( sample size)

the minimum sample size of the adults in United State who have sleep deprivation  is 601

Step-by-step explanation:

Given that;

the confidence level = 95% = 0.05

the Margin of error E = 4% = 0.04

∴  level of significance ∝ = 1 - C.L

∝ = 1 - (95/100)

= 0.05

Z∝/2 = 0.05/2 = 0.025

Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)

Now to calculate the sample size, we say

n = (Z(critical) / M.E )² P ( 1 - P)

now we substitute

n =  (1.96 / 0.04)² × 0.5 ( 1 - 0.5)

n = 2401 × 0.5 × 0.5

n = 600.25 ≈ 601

Therefore the minimum sample size of the adults in United State who have sleep deprivation  is 601

Using the formula for the margin of error, it is found that a sample of 601 is needed.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

In this problem:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up, a sample of 601 is needed.

A similar problem is given at https://brainly.com/question/25420216