What is the cost of r grapefruits, if each grapefruit costs s?

Answer and Step-by-step explanation:

P= the water is warm.

q = people are swimming.

r = the waves are not big.

Logical connectives are:

Not p = ¬p

P or q = p ∨ q

P and q = p ∧ q

If p, then q = p → q

P if and only if

q = p ↔ q

By using p, q, r and logic connectives and or not, we have:

1-water is warm and people are swimming.

= p ∧ q

2- If people are not swimming then water is not warm or waves are big.

= ¬q → ¬p v ¬r

3- if waves are big, water is warm then people are not swimming

= ¬r ∧ p → ¬q

Answer:

(a) 0.7

(b) [tex]\frac 13[/tex]

Step-by-step explanation:

Let [tex]E_1, E_2,[/tex] and [tex]E_3[/tex] be the events of passing the 1st, 2nd, and 3rd exam individually.

Given that [tex]P(E_1)=0.9\;\cdots(i)[/tex]

where [tex]P(E_1)[/tex] denotes the probability of passing the 1st exam.

Condition for passing the second exam is, at first, the candidate must have to pass the 1st exam.

So, [tex]P\left(\frac{E_2}{E_1}\right)=0.8\;\cdots(ii)[/tex]

where [tex]P(E_2/E_1)[/tex] denotes the probability of passing the 2nd exam when she already passed the 1st exam (given, 0.8).

Similarly, as the conditional probability of passing the 3rd exam is 0.7, and the condition for this is, at first, she must have to pass the 1st and 2nd exam. i.e,

[tex]P\left(\frac{E_2}{P(E_2/E_1)}\right)=0.7\;\cdots(iii)[/tex]

(a) For passing all the exams, the condition is, at first, she has to pass the 1st and 2nd exam, then she has to pass the 3rd exam too. The probability for this conditional has been given as 0.7.

So, the probability that she passes all three exams is 0.7.

(b) Given that she didn't pass all three exams that means she either failed in 1st exam or she passed the 1st and failed in 2nd exam or she passed both 1st and 2nd but failed in the 3rd exam.

Let F be the event that she didn't pass all three exams. So,

[tex]P(F)=(1-P(E_1))+\left(1-\frac{P(E_2)}{P(E_1)}\right)+\left(1-\frac{P(E_2)}{P(E_2/E_1)}}\right)[/tex]

[tex]\Rightarrow P(F)=(1-0.9)+(1-0.8)+(1-0.7)=0.6[/tex]

Lef [tex]F_2[/tex] be the event that she failed the 2nd exam, so

[tex]P(F_2)=1-\frac{P(E_2)}{P(E_1)}[/tex]

[tex]\Rightarrow P(F_2)=1-0.8=0.2[/tex]

So, the conditional probability that she failed the 2nd exam is

[tex]P\left(\frac{F_2}{F}\right)=\frac{P(F_2)}{P(F)}[/tex]

[tex]\Rightarrow P\left(\frc{F_2}{F}\right)=\frac{0.2}{0.6}=\frac{1}{3}=0.33[/tex]

Answer: D, 3a^4 sqrt 2a

Step-by-step explanation:

I just did it on edgenuity :)

Answer:

D

Step-by-step explanation:

In answer D all of the numbers round to the numbers in the equation if you use the rule where numbers 5 and greater round-up while4 and below round down.

11.75 rounds up to 12

3.299 rounds down to 3

5.31 rounds down to 5

6.27 rounds down to 6

Answer:

Its D

Step-by-step explanation:

Im doing edge 2021 peeps this is the Adding and Subtracting Decimals quiz :)

Answer:

m∠1 = 110° and m∠3 = 70°

Step-by-step explanation:

The angles at the intersection of a transversal and parallel lines are supplementary angles.

The true statement is: [tex]\mathbf{\angle 1 = 110^o}[/tex] and [tex]\mathbf{\angle 3= 70}[/tex]

From the complete question, we  have:

This means that:

[tex]\mathbf{\angle 1 + \angle 3= 180^o}[/tex]

Substitute [tex]\mathbf{\angle 1 = 110^o}[/tex]

[tex]\mathbf{110 + \angle 3= 180^o}[/tex]

Subtract 110 from both sides

[tex]\mathbf{\angle 3= 180 - 110}[/tex]

[tex]\mathbf{\angle 3= 70}[/tex]

Hence, the true statement is: [tex]\mathbf{\angle 1 = 110^o}[/tex] and [tex]\mathbf{\angle 3= 70}[/tex]

Read more about parallel lines and transversal at:

https://brainly.com/question/16967505

Answer:

The largest n for which [tex]2^{n}[/tex] is a divison of 80 is 4.

Step-by-step explanation:

Numbers can be composited, that is, a product of prime numbers, or primer numbers themselves. A entire number is a divisor of another entire number if result is an entire number.

As first step we need to decompose 80 as a product of prime numbers, whose procedure is presented below:

1) [tex]80[/tex] Given

2) [tex]40\times 2[/tex] Definition of multiplication.

3) [tex]20\times 2\times 2[/tex] Definition of multiplication.

4) [tex]10\times 2\times 2\times 2[/tex] Definition of multiplication.

5) [tex]5\times 2\times 2\times 2\times 2[/tex] Definition of multiplication.

6) [tex]5\times 2^{4}[/tex] Definition of power/Result.

In a nutshell, the largest n for which [tex]2^{n}[/tex] is a divison of 80 is 4.

Answer:

yes

Step-by-step explanation:

Yes, because x=4 so 3x=12 so 12+2=14

Answer:

B: y = -(-x)^2

Step-by-step explanation:

The y value will always be negative and therefor it can never be 3

The solution is Option B.

The function with equation y = - ( -x )² will not have a range of 3 because the function always returns a negative value

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

Let the equation be y = -2x + 4

when x = 1/2

y = -2 ( 1/2 ) + 4

y = -1 + 4

y = 3

So , the value of y = 3

b)

Let the equation be y = - ( - x )²

For all the values of x , the value of y will be negative

So , the value of y ≠ 3

c)

Let the equation be y = x⁵

when x = 3^ (1/5)

y = ( 3^ (1/5) )⁵

y = 3

So , the value of y = 3

d)

Let the equation be y = 3

The value of y = 3

Hence , the equation y = - ( - x )² will not have a range of 3

To learn more about equations click :

https://brainly.com/question/19297665

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Answer:

120

Step-by-step explanation:

8*30/2

8*30= 240

240/2 =120

Answer:

I am not sure I am so so so sorry My friend

Answer:

10.35oz

Step-by-step explanation:

Cuz if you do the math 16 times 14 equals 224 and 15.5 times 10 equals 155 so if you minus 155 from 224 then you have 69 square inches which you multiply by 0.15 which thus gets you the answer 10.35

Answer:  y = -x/2 -4

Step-by-step explanation:

I hope you mean perpendicular to y= 2x - 5 and that passes through (2, -5)

Take the reciprocal of the original slope.  Reverse the slope to negative. Substitute the values of the given coordinates for x and y in the base equation y =-x/2 and solve for "b" the new y-intercept.

-5 = - (2)/2 +b

-5 = -1 +b

-5+1 = b

-4 = b

Answer:

x = -8

Step-by-step explanation:

1/4x+2=-5/8x-5

Add 5/8 x to each side

1/4x + 5/8 x+2=-5/8x + 5/8x-5

1/4x + 5/8x +2 = -5

Subtract 2 from each side

1/4x + 5/8x +2-2 = -5-2

1/4x + 5/8x  = -7

Get a common denominator of 8

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7 * 7/8x = -7*8/7

x = -8

Answer:

each friend paid $7.65

Step-by-step explanation:

(3*12.75)/5

38.25/5

7.65

Answer:

2.25

Step-by-step explanation:

Answer:

366.50

Step-by-step explanation:

hope this helps if doesn't help than srry

Answer:

Step-by-step explanation:

Total:

Answer:

b. y+10=-(x-3)

Step-by-step explanation:

Answer:

3.59

Step-by-step explanation:

3 is a whole number, 5 is in the tenths place, 8 is in the hundreths place, and 7 is in the thousandths place. Eventhough 8 is in the tenths place, we have to apply a certain rule to get the exact answer. if the number in the next place (the thousandths place so 7) is greater than 5, add 1 to the tenths place number, but if the number is less than 5, leave it as it is. The 8 will round to 9 because 7 is greater than 5.

Answer:

i think its y = 3x + 1

Answer:

I'm pretty sure the number of stamps purchase is about 132 stamps

Answer:

The answer would be D, 37/2 divided by 17/4

Explanation:

I did the test.

Answer: The answer would be D, 37/2 divided by 17/4

Step-by-step explanation:

Yes I admit I did copy and paste the answer above I did this because other people would copy it and would not give credit. Credit Goes to raydenhallstar

[tex]\tan(x) = \frac{15}{8} \\ x = \arctan(\frac{15}{8}) \\ x ≈ 61.93[/tex]

[tex] 61.93[/tex]

Answer:

1,575 dollars

Step-by-step explanation:

7 multiple 225 is 1,575

Answer:

1/125

-5.06 is less than -5.6

-1 3/4 is less than 3/4

2 3/4 is less than 2 4/6

Sorry my handwriting is so bad!!

Answer:

y hat = 2114.20 + 18.96x

Step-by-step explanation:

Given the least square regression model equation:

y hat = -959.00 + 8.60x

weld diameter x ; shear strength y (in pounds)

1 lb = 0.4536 kg

To express shear strength y in kilogram:

y is multiplied by 0.4536

(y hat × 0.4536) = -959.00 + 8.60x

Divide both sides by 0.4536

(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536

y hat = 2114.1975 + 18.959435x

y hat = 2114.20 + 18.96x

The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.

The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern.

The least-squares line is [tex]\rm y = -959.00 + 8.60x[/tex]. Because [tex]\rm 1\ lb = 0.4536 \ kg[/tex] the strength observations can be re-expressed in kilograms through multiplication by this conversion factor:

New [tex]\rm y = 0.4536 (old \ y)[/tex].

y is multiplied by 0.4536, then we have

[tex]\rm y \times 0.4536 = -959.00 + 8.60x[/tex]

Then divide both sides by 0.4536, then we have

[tex]\rm y = \dfrac{-959.00 + 8.60x}{0.4536}\\\\\\\rm y =2114.20+ 18.96 x[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

what do you need help with

Step-by-step explanation:

Answer: 2.70

Step-by-step explanation 20+70=90

Answer:

2

Step-by-step explanation:

-4(+1)= -4

3-4= -1

-1=2-1

-1=1

1+1=2