In a sociology class there are 14 men and 10 women. 3 students are randomly selected to present a topic. What is the probability that at least 1 of the 3 students selected is female? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer & Step-by-step explanation:

Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)

w = 2h (twice the price)

t = h - 4 ($4 less)

3w + 2h + 5t = 136 (total purchasing and cost)

We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t

3(2h) + 2h + 5(h-4) = 136

Simplify

6h + 2h + 5h - 20 = 136

13h = 136 + 20

13h = 156

h = 156/13

h = $12

Using this information, we can solve for w and t

w = 2h

w = 2(12)

w = $24

And finally

t = h - 4

t = 12 - 4

t = $8

Answer:

x = 55

Step-by-step explanation:

In a rhombus, each diagonal bisects a pair of opposite angles.

For this parallelogram t be a rhombus, the angles with measures 2x - 40 and x + 15 must be congruent.

2x - 40 = x + 15

Subtract x from both sides.

x - 40 = 15

Add 40 to both sides.

x = 55

Answer:

Hello,

x=55

Step-by-step explanation:

The rhombus is formed of 2 isocele triangles

(since sides are equals)

The drawn diagonal  bissects the angle

x+15=2x-40

2x-x=15+40

x=55

Answer:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]S = \{V,W,X,Y,Z\}[/tex]

[tex]n(S) = 5[/tex]

Required

The probability model

To do this, we simply calculate the probability of each container.

So, we have:

[tex]P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20[/tex]

So, the probability model is:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Answer:

answer is V=.20, W=.20, X=.20, Y=.20, X=.20

Step-by-step explanation:

Answer:

0.0171

0.89158

Step-by-step explanation:

Given :

μ = 60

Standard deviation , σ = 17

The probability that a randomly chosen score is greater than 96;

P(Z > Zscore)

Zscore = (score, x - μ) / σ

Zscore = (96 - 60) / 17 = 2.118

P(Z > 2.118) = 1 - P(Z < 2.118) = 1 - 0.9829 = 0.0171

The probability that a randomly chosen score is less than 81;

P(Z < Zscore)

Zscore = (score, x - μ) / σ

Zscore = (81 - 60) / 17 = 1.235

P(Z < 1.235) = 0.89158

Answer:

[tex]{ \tt{slope, \: m = \frac{1 - ( - 1)}{1 - 0} }} \\m = 2 \\ y - intercept : y = mx + c \\ { \tt{1 = (2 \times 1) + c}} \\ c = - 1 \\ { \boxed{ \bf{y = 2x - 1}}}[/tex]

Answer:

c=cost of one chair rental

t=cost of one table rental

8c+3t=42

2c+5t=53

multiply the second equation, each term on both sides, by -4

8c+3t=42

-8c-20t=-212

add the two equations

-17t=-170

divide both sides by -17

t=$10 to rent one table

substitute t=10 into either original equation

2c+5(10)=53

2c+50=53

2c=3

c=$1.50 to rent one chair

Answer:

-30x^2-9x+12  all real numbers

Step-by-step explanation:

f(x) = -6x + 3 and g(x) = 5x + 4

f(x) * g(x) = (-6x + 3) * ( 5x + 4)

FOIL

            = -30x^2 -24x+15x +12

Combine like terms

           =-30x^2-9x+12

The domain is what numbers x can take

There are no restrictions so all real numbers

ʕ•ﻌ•ʔ[tex]\huge\bold\pink{hello!!!}[/tex]ʕ•ﻌ•ʔ

HERE IS UR ANSWER

_____________________

formula used to calculate shear stresses due to bending, τ = VQ/It. We have just read the internal shear force, V, off of the shear diagram. We also already calculated the moment of inertia for this particular section.

τ=6000N

Area is in square units.

Square the factor: 5^2 = 25

The new area would be the area of the old rectangle multiplied by 25

Answer: Area of old rectangle is multiplied by 25

Step-by-step explanation:

Original rectangle

Area = 2 · 5 = 10 cm²

New rectangle

Area = 25 · 10 = 250 cm²

The area of the new rectangle = area of old rectangle × 25

Answer:

the answer is b. you are basically multiplying them

Answer:

slope=undefined

Step-by-step explanation:

(-5-4)/(9-9)

-9/0

[tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

[tex]\frac{(-5-4)}{(9-9)}[/tex]

[tex]\frac{-9}{0}[/tex]

Because the denominator is 0, the slope is undefined.

Rise over run. The run is 0.

Answer:

BAC

Step-by-step explanation:

The expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial shown in the picture.

A = -7x² - 2x + 5

B =  7x² - 2x + 7

C = 7x² + 2x - 5

The expression is:

= (3x² - 6x + 11) - (10x² - 4x + 6)

= -7x² - 2x + 5

= A

= (-3x² - 5x - 3) - (-10x² - 7x + 2)

= 7x² + 2x - 5

= C

= (12x² + 6x - 5) - (5x² + 8x - 12)

= 7x² - 2x + 7

= B

Thus, the expression (3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to the expression A, expression (-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent to the expression C, and expression (12x² + 6x - 5) - (5x² + 8x - 12)  is equivalent to the expression B.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ5

Answer:

A. More students prefer Model A1 calculators than the Model C3 calculators.

Answer:

the answer could be B i think cause that makes total sense

Answer:

900

Step-by-step explanation:

34/100 = 306/x

Cross multiplying, you get:

34x=30600

x=900

Total trip is 900 miles long.

Answer:

Step-by-step explanation:

684 dollars

Answer:

B

Step-by-step explanation:

the g is not in the root, solve everything in the root separately and then add g to it

Step-by-step explanation:

(q and (not q or p)) = (q and not q) or (q and p) = false or q and p = q and p

(p and not (q and p)) = (p and (not q or not p)) =

= (p and not q) or (p and not p) = (p and not q) or false =

= p and not q

so, we have in total

(q and p) or (p and not q) = (p and q) or (p and not q).

this is p, because if p=false both brackets are false and therefore the whole expression is false. and if p=true, then one of the 2 brackets must be true, which makes the whole expression true.

Answer:

Read below c:

Step-by-step explanation:

Both are rectangular prisms and they have similar dimensions. They are different because one is visibly larger then the other.

hope it helps c:

Answer:

Step-by-step explanation:

If you need to use all the letters, the only other word I can see is STRUT.

Answer:

120

Step-by-step explanation:

5!

if they are looking for words that actually exist then 11

also rsm right?

Answer:

= 3 11/20

Sorry I am not doing the step by step.

Answer:

#[tex]\beta=0.5492[/tex]

#This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]

Step-by-step explanation:

From the question we are told that:

Amount of sleep for adults [tex]X=P(< 6)[/tex]

Hypothesis test has power [tex]p=0.4272[/tex]

Mean [tex]\=x =4hours[/tex]

Generally the equation for [tex]\beta[/tex] is mathematically given by

[tex]\beta=1-P[/tex]

[tex]\beta=1-0.4508[/tex]

[tex]\beta=0.5492[/tex]

Therefore

This Value of [tex]\beta[/tex] goes to indicate that there is greater [tex]50\%[/tex] probability that [tex]\mu<8[/tex] will not be acknowledged at [tex]\mu =5[/tex]

Answer:

below

Step-by-step explanation:

domain. = ( -5 , 4)

range = ( -2 , 3)

Answer:

m = 74

Step-by-step explanation:

2m+8 +24 has to = 180 because they form a line. So the equation would be 2m+32 = 180, so then 2m would equal 148, so m = 74.

Answer:

74

Step-by-step explanation:

BODMAS

12-(-25)

=12+25=37

45-8+37

45-8=37

37+37=74

=74

Answer:

37+12+25

74 Answer

hope it helps

Answer:

1st degree

Step-by-step explanation:

You look at the largest exponet, right here, there are none so it would be 1st degree.

Answer:

1

Step-by-step explanation:

The degree of an expression with multiple exponents is the highest exponent in it. In this expression, there is no expression, so the answer will be 1 because there is no exponent and every variable and number has an invisible 1 as its exponent.

Hope this helps.

Answer:

I don't know which one you mean so I did both:

14. largest 9510

15. smallest 1000000

16. n+6=22 —> n=22-6 —>n = 16

17. Add : 204 + 38429= 38633

Answer:

1  ≤  y  <  ∞

Step-by-step explanation:

very true