A travel agency surveyed 70 of their clients who had visited Europe about international travel. Of the 70 clients who had visited Europe, 60 had traveled to England, France, or both. Of those 60 clients, 45 had visited England, and 50 had visited France.

c. What is the probability that a randomly chosen participant in the survey will have visited both England and France? Explain your reasoning.

Considering the definition of an inequality, the number of minutes she will run today will be more than 72 minutes.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "t" the number of minutes Raina will run today, the inequality is

t÷ 8> 9

Solving:

t > 9×8

t > 72 minutes

Finally, the number of minutes she will run today will be more than 72 minutes.

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Answer:

76%

Step-by-step explanation:

(number ÷ total number) x 100 = %

(532 ÷ 700) × 100 = 76%

1.) 532 ÷ 700 = 0.76

2.) 0.76 × 100 = 76

Answer:

It's 25

Step-by-step explanation:

It's asking for distance between the two numbers

Answer:25

Step-by-step explanation:

Given in the picture that [tex]D=b^{2} -4ac[/tex]. and the value of Quadratic equation is  [tex]b=\sqrt{65}[/tex].

(a) Express b in terms of a, c and D.

[tex]b=\sqrt{D-4ac}[/tex]

(b) Find the values of b when a=2, c=-2 and D=81.

[tex]b=\sqrt{65}[/tex]

By seeing the question we can say that the [tex]b^{2} -4ac[/tex] is in the quadratic formula.

We know the general Quadratic Equation is [tex]ax^{2}+bx+c=0[/tex].

The solution to find the root of the Quadratic Equation is Quadratic Formula: [tex]\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex].

The whole solution is depend on [tex]b^{2} -4ac[/tex]. The team is called discriminant.

(a) Given that,

[tex]D=b^{2} -4ac[/tex]

[tex]b^{2}=D +4ac\\[/tex]

Taking square root on both sides.

[tex]\sqrt{b^{2} } =\sqrt{D+4ac}\\ b=\sqrt{D+4ac}\\[/tex]

Therefore, [tex]b=\sqrt{D-4ac}[/tex]

(b) Given that,

a=2,c=-2 and D=81

[tex]b=\sqrt{D+4ac}\\[/tex]

[tex]b=\sqrt{81+4(2)(-2)}\\[/tex]

[tex]b=\sqrt{81-16}[/tex]

[tex]b=\sqrt{65}[/tex]

Therefore, [tex]b=\sqrt{65}[/tex]

A quadratic equation is a second-degree algebraic equation in x. In its usual form, the quadratic equation is a[tex]x^2[/tex] + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant factor. The first requirement for an equation to be a quadratic equation is that the coefficient of [tex]x^2[/tex] is not zero (a 0). When expressing a quadratic equation in standard form, the [tex]x^2[/tex]term comes first, then the x term, and finally the constant term.

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Answer:

Step-by-step explanation:

8 + 8 = 16, so 8 x 2 = 16. :)

Answer:

16

Step-by-step explanation:

Add 8 + 8 = 16

This is 8 two times or 8 * 2

If the distance,d, traveled by a particle is directly proportional to the square of the time,t, taken, when t = 40, d = 30, then the formula for d in terms of t will be d = 0.01875(t²).

Proportionality can be described as the property of being in a proper correlation in terms of size or quantity. In this problem, the distance is directly proportional to the square of the time which means that the distance increases as the square of the time is increased and vice versa.

Therefore,

d ∝ t²

d = kt² ( when t = 40 and d = 30 )

Here k is the constant

The value of k can be found by rearranging the equation,

d = kt²

30 = k(40²)

30 = k(1600)

k = 30 / 1600

k = 0.01875

As k = 0.01875, the formula for d in terms of t can be given as,

d = kt²

d = 0.01875(t²)

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Answer:

c

Step-by-step explanation:

Hello,

[tex]1j + 4 > 1[/tex]

[tex]j + 4 - 4 > 1 - 4[/tex]

[tex]j > - 3[/tex]

Answer:

All real numbers

Step-by-step explanation:

Domain means the valid x values.  If you graph this it is a horizontal line extending to negative infinity and positive infinity where y = 2.

Answer:

about 55,000 pounds

Step-by-step explanation:

1,575(3.125) + 5,020(9.9) = 54,619.875

To the nearest thousand, 54,619.875 rounds to 55,000.

denote by u¹ the first term

hence u⁹ is the 9th term

[tex]u_{n} = u_{1} + (n - 1)d[/tex]

[tex]u_{2} = 2 \: \: \: \: \: \: u_{6} = - 14 \\ u_{1} + (2 - 1)d = 2 \\ u_{1} + (6 - 1)d = - 14[/tex]

[tex]u_{1} + d = 2 \\ u_{1} + 5d = - 14 \\ \\ \: \: \: (u_{1},d)=(6,-4)[/tex]

[tex]u_{9} = u_{1} + (9 - 1)d \\ u_{9} = u_{1} + 8d \\ u_{9} = 6+ (8)( - 4) \: \\ u_{9} = - 26[/tex]

Answer:  a₁=6   a₉=-26

Step-by-step explanation:

a₂=2    a₆=-14    a₁=?     a₉=?

a₂=a₁+(2-1)d

a₆=a₁+(6-1)d

a₁+d=2    (1)

a₁+5d=-14  (2)

Subtract equation (1) from equation (2):

4d=-16

Divide both parts of the equation by 4:

d=-4

Hence,

a₁+(-4)=2

a₁-4+4=2+4

a₁=6

a₉=a₁+(9-1)d

a₉=6+8(-4)

a₉=6+(-32)

a₉=6-32

a₉=-26

Joshua has $4.5 left in the game card.

Joshua purchased a game card for $18

He played two basketball games for $3.25 each

= 2 × 3.25

= 6.5

He played four rounds of air hockey for $1.75

= 1.75 × 4

= 7

The first step is to calculate the total money spent on games

= 7 + 6.5

= 13.5

The amount left in the game card can be calculated as follows

= 18 - 13.5

= 4.5

Hence $4.5 is left in the game card.

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Answer:

The answer to your question is v= 1/3 bh

multiply by : 3

3v = bh

divided by b : h = 3v/b

Step-by-step explanation:Did this help?so its the second

Answer:9

Step-by-step explanation:

Answer: c= 360/n

Step-by-step explanation:

c=k/n, for c=60 and n=6 so equation would be 360/n

Answer: Mean = 158 - Median = 158 - Mode = 130

Answer: (a) mean is $158  (b) median is $150  (c) mode is $130

Step-by-step explanation:

Arrange the series:

130  130  130  130  150  150  155  175  190  240

[tex]\displaystyle\\Mean=\frac{130*4+150+2+155+175+190+240}{10} \\\\Mean=\frac{1580}{10} \\\\Mean=158\\\\Median=\frac{150+150}{2} \\\\Median=\frac{300}{2} \\\\Median=150\\\\Mode=130[/tex]

Answer: Answe about what ??

Step-by-step explanation:

you didnt put in a any question

To solve the equation, multiply both sides by 4. The solution is r = -32.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

The given problem:

Solve r/4 = -8

Notice that the variable, r, is already isolated on left side.

Multiply both sides by 4:

r/4 . 4 = -8 . 4

r = -32 (solved)

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Answer: 17 yards

Step-by-step explanation:

well first you do $30 - $27.62 and you get $2.38 then you take the decimal out then divide it like this 238/14 you get 17 and that is how many yards you have !!! Hope that helps!!

Answer:

Step-by-step explanation:

3 * (5 - 2) =

15 - 6 =

9

or

3 * (5 - 2) =

3 * 3 =

9

Answer:

I believe the answer is 943,158,670.349

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The answer of the given question will be - [tex]ln |n| + c = e^{8+t} t - e^{8+t} - t + c[/tex]

In mathematics, integration is a technique for combining or adding the parts to arrive at the total. It is a form of differentiation in reverse where we break down functions into their component elements. This technique is employed to determine the summation on a sizable scale.

We are given the equation as -

[tex]\int\limits^_ {}[/tex]dn/dt + n = [tex]\int\limits^_ {}[/tex][tex]nte^{t+8}[/tex]

⇒ dn/dt = [tex]nte^{t+8} - n[/tex]

[tex]dn/dt = n(te^{t+8} - 1)\\dn/n = (te^{t+8} - 1)dt[/tex]

Integrating on both sides,

⇒ ln |n| + c =[tex]\int\limits^[/tex][tex]nte^{t+8} - n[/tex]

⇒ ln |n| + c = [tex]e^{8+t} t - e^{8+t} - t + c[/tex]

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Answer: -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

the - (-6) becomes a + 6

-8 + 6 - 0 = -2

Answer:

x2,2x2y,xy2,-xy,xy,2xy

These set of figures: {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} does not represent a function. Instead, it represents a set.

We are supposed to answer whether {(-4, 3), (5,-9), (11, 4), (9, 6), (5, -3), (8, -9), (1,4)} ) {(6, 0), (-12, -16), (-6, 10), (20,-7)} represents a function or not.

The answer is NO. This is not a representation of a function instead it is a representation of set.

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Use a second order difference scheme while adhering to the finite difference procedure we discussed in lecture, the rewritten initial value is cos(t)+C.

The k initial differences of a sequence or a function are involved in a difference equation of order k, just as the k first derivatives of a function are related in a differential equation of order k.

The two aforementioned relationships enable the transformation of a recurrence relation of order k into a difference equation of order k and, in the other direction, a difference equation of order k into a recurrence relation of order k. Every transformation is the inverse of every other transformation, and the sequences that satisfy the recurrence relation are the exact ones that provide the solution to the difference equation.

Calculations:

syms y(t) z(t)

eqns = [diff(y,t)==z, diff(z,t)==-y];

[ySol(t),zSol(t)] = dsolve(eqns)

ySol(t) = C

cos(t)+C

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Answer:

-0.4 or -2/5

:) hope this helped!

Answer:1.05

Step-by-step explanation:

total = 2.25

pen = x

notebook = x+0.15

2x+0.15=2.25

2x=2.10

x=1.05

pen = 1.05

The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.

The correct option is C.

A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.

The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.

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Answer:

1.h=7; 2. A=78.5; 3. h=3; 4. h=8; 5. I=5.

Step-by-step explanation:

1. A = bh for h, if b = 4 and A = 28

So 28=4h then we divided both side by 4 to get the value of h , h=7.

2. A = πr2 for A, if r = 5.

So A=3.14×25=78.5.

3. A = bh for h if b = 15 and A = 45. h=?

So 45=15h then we divided both side by 15 to get the value of h , h=3.

4. A = bh for h if b = 10 and A = 80. h=?

So 80=10h then we divided both side by 10 to get the value of h , h=8.

5.P = 2l + 2w for l if w = 4 and P = 18. l=?

So 18=2I + 2(4) =18-8=2I 10=2l then to get the value of I divided both side by 2, I=5.