A university class has 26 students: 12 are art majors, 9 are history majors, 5 and are nursing majors. The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is a history major and the second student is a nursing major?

Answer:

-8.45, 0.95, 8.25

Step-by-step explanation:

The easiest way to do this is to convert the fraction to a decimal, and then compare the values.

8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.

Now, let's compare values.

Numbers we need to compare: -8.45, 0.95, 8.25

The smallest number is -8.45, then 0.95, and lastly, 8.25.

Thus the answer is

-8.45, 0.95, 8.25

Answer:

**********************868/14=62********************

Step-by-step explanation:

Answer:

+*~868 ÷ 14 = 62~*+

(Hope this helps! Btw, I answered first. Brainliest please! :D)

Answer:

18 ft

Step-by-step explanation:

6 ft + 3 ft + 6 ft + 3 ft = 18 ft

Answer:

18 ft

Step-by-step explanation:

if its 6 feet tall and 3 feet wide you add 6+6+3+3

Answer: i don't no the answer, but do u go to connexus acadeny

Step-by-step explanation:

Answer:

4+6

answer is 10

simple.

Answer:

E = 96

Step-by-step explanation:

Given the following data;

E = kf .......equation 1.

When E = 24, f = 6

First of all, we would have to find the constant k;

Substituting the values into eqn 1, we have;

24 = k6

k = 24/6

k = 4

To find the value of E, when f = 24

E = kf

Substituting into the equation, we have;

E = 4*24

E = 96

Answer:

The first answer one is true

Answer:

A, E, G

Step-by-step explanation:

Answer:

A

E

G

Step-by-step explanation:

When you divide A, E, and G with the common factor, they all equal 5 : 9

Answer:

y = 3/4x -2

Step-by-step explanation:

Points on the graph: (4, 1) and (0, -2)

Slope:

m=(y2-y1)/(x2-x1)

m= (-2-1)/0-4)

m=(-3)/(-4)

m = 3/4

Point-slope:

y - y1 = m(x - x1)

y - 1 = 3/4(x - 4)

y - 1 = 3/4x - 3

y = 3/4x -2

Answer:

180 sq.cm

Step-by-step explanation:

A = 10 x 10 + 16 x 5 x 1/2 x 2

A = 100 + 16 x 5

A = 100 + 80

A = 180 square cm

Hope that helps!

Answer:

100

Step-by-step explanation:

Answer:

[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Area - Integrals

U-Substitution

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

F: y = √(15 - x)

G: y = √(15 - 3x)

H: y = 0

Step 2: Find Bounds of Integration

Solve each equation for the x-value for our bounds of integration.

F

G

This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.

We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).

Step 3: Find Area of Region

Integration Part 1

Step 4: Identify Variables

Set variables for u-substitution for both integrals.

Integral 1:

u = 15 - x

du = -dx

Integral 2:

z = 15 - 3x

dz = -3dx

Step 5: Find Area of Region

Integration Part 2

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

Answer: I think it is 67

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

pls give brainliest :)

Answer:

reduced traffic on the road

Step-by-step explanation:

just took the test :)

Answer: C) Reduced traffic on the road

Step-by-step explanation: Ive taken this test

Answer:

g= green chips       r= red chips

3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total

Step-by-step explanation:

Answer:  6.5 ÷ 100 = 0.065

Answer:

? – (20 – 4x – 5x2) = 20 – 7x2, so ?  = 20 – 7x2 + (20 – 4x – 5x2)

?  = 20 – 7x2 + (20 – 4x – 5x2)=20-7x²+20-4x-5x²=40-12x²-4x

the answer is 40-4x-12x^2

Step-by-step explanation:

Answer:

40-4x-12x^2

Step-by-step explanation:

Answer:

524,288

Step-by-step explanation:

Hope this helps!

Answer:

15.736

Step-by-step explanation:

Answer:

Answer in attachment photo

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

the value of the required slope can be calculated from:

[tex]s=\frac{y_1-y_2}{x_1-x_2};[/tex]

[tex]s=\frac{10-8}{2-5};[/tex]

finally,

[tex]s=-\frac{2}{3}.[/tex]

Note, the suggested option is not the only one.

Answer:

a) 0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) 0 is less than 2.5 standard deviations from the mean, so it would not be unusual.

Step-by-step explanation:

For each passenger, there are only two possible outcomes. Either they will have been stopped due to a change in the pocket, or not. Passengers are independent. This means that we use the binomial probability distribution 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.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

A measure is considered unusual if it is more than 2.5 standard deviations of the mean.

25% chance that the cause is change in the passenger's pocket.

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

During a given hour, 15 passengers are stopped because of a signal from the metal detector.

This means that [tex]n = 15[/tex]

a) Find the probability that at least 3 passengers will have been stopped due to change in their pockets.

This is

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

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

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{15} = 0.0134[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{14} = 0.0668[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{13} = 0.1559[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0134 + 0.0668 + 0.1559 = 0.2361[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.2361 = 0.7639[/tex]

0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.

b) If 15 passengers are stopped by the detector, would it be unusual for none of these to have been stopped due to change in the pocket

First we find the mean and the standard deviation:

[tex]E(X) = np = 15*0.25 = 3.75[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.25*0.75} = 1.68[/tex]

3.75 - 2.5*1.68 = -0.45

0 is less than 2.5 standard deviations from the mean, so it would not be unusual.

Answer:

6(7a + 9b) = 3(14a + 18b)

Step-by-step explanation:

We need to find the equivalent expression for the given expression i.e. 6(7a + 9b).

We can use the distributive property here such that,

a(b+c) = ab + ac

We have, a = 6, b = 7 and c = 9

6(7a + 9b) = 6(7a) + 6(9b)

= 42a + 54b

or taking 3 common from the above expression.

= 3(14a+18b)

Hence, the correct option is (a).

Answer:

1024 sq inches

Step-by-step explanation:

Surface area is the area of all added together.

So: 2(24 * 10 + 10 * 8 + 24 * 8)

2(240 + 80 + 192)

Answer: 1024

uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...

Answer:

yes, 29 is a monomial

Step-by-step explanation:

Answer:

53 feet.

Step-by-step explanation:

2(Width)+2(Length)=Perimeter

--> 2(43)+2(Length)=192

--> 86+2(Length)=192

--> 2(Length)=106

Length = 53