This needs to be turned in in 15 minutes help also can u answer both

Answer:

0.76 = 76% probability that a tourist visited at least one of these places

Step-by-step explanation:

I am going to solve this question using the probabilities as Venn sets.

We have that:

Event A: Tourist visited Beinjing.

Event B: Tourist visited Xi'an.

61 percent of the tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing.

This means that [tex]P(A) = 0.61[/tex]

33 percent visited Xi'an with its magnificent terracotta soldiers, horses, and chariots, which lay buried for over 2000 years.

This means that [tex]P(B) = 0.33[/tex]

18 percent of the tourists went to both Beijing and Xi'an.

This means that [tex]P(A \cap B) = 0.18[/tex]

What is the probability that a tourist visited at least one of these places?

This is

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

We already found these values. So

[tex]P(A \cup B) = 0.61 + 0.33 - 0.18 = 0.76[/tex]

0.76 = 76% probability that a tourist visited at least one of these places

Answer:

The surface of the rectangular prism is 42

l × w × h

The length is 3 width is 2 and the height is 3.

Hope this helps have an awesome day❤

Answer:

Step-by-step explanation:

Both equations have -7y. You can eliminate them by subtracting one equation from the other:

Multiply equation 1 by -1, then add it to equation 2:

-2x + 7y = 74

3x - 7y = -83

———————

x = -9

2x - 7y = -74

2(-9) - 7y = -74

-7y = -56

Y = 8

(x,y) = (-9, 8)

Answer:

x = 55

Step-by-step explanation:

First set the equations to equal eachother since theyre corresponding.

3x - 60 = x + 50

Then just solve for x.

3x - 60 = x + 50

     +60       +60

3x = x + 110

-x    -x

2x = 110

/2      /2

x = 55

Answer:

Pretzels: 30 ounces, Nuts: 15 ounces

Step-by-step explanation:

Trust me.

Number of ounces of nuts = 30

Number of ounces of pretzels = 15

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Jamal is making a snack mix with pretzels and nuts.

And, For every ounce of nuts, he will use 2 ounces of pretzels.

Total number of snake mix = 45 ounces

Now,

Let number of ounces of pretzels = y

Let number of ounces of nuts = x

So, We can formulate;

⇒ x = 2y    ... (i)

And, x + y = 45     .... (ii)

Substitute the value of x in equation (ii) , we get;

x + y = 45  

2y + y = 45  

3y = 45

y = 15

And,

x + y = 45  

x + 15 = 45

x = 30

Therefore,

Number of ounces of nuts = 30

Number of ounces of pretzels = 15

Learn more about the mathematical expression visit:

https://brainly.com/question/16583268

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Answer:

The least expensive cost = $245.32

Step-by-step explanation:

From the information:

Volume of the rectangular container = 10 m²

Assume the width of the container is = w

The base = 2 × width

= 2(w)

Volume = height × base × width

10 = h × 2w × w

[tex]h = \dfrac{10}{2w^2}[/tex]

[tex]h = \dfrac{5}{w^2}[/tex]

Now, to calculate the area of the base; we have:

[tex]Area = length \times width[/tex]

[tex]Area = 2w \times w[/tex]

[tex]Area = (2w^2) \ m^2[/tex]

[tex]Cost \ of \ base = 15 * 2w^2[/tex]

Cost of base = [tex]30w^2[/tex] --- (1)

[tex]Area \ of \ side = 2 ( height \times length ) + 2( height \times width) \\ \\ = 2 (h \times 2w) + 2(h\times w) \\ \\ = 4hw + 2hw \\ \\ = 6 hw \\ \\ = 6 \times \dfrac{5}{w^2} \times w \\ \\ Area = \dfrac{30 }{w} \ m^2[/tex]

Let's not forget that the cost of the sides = $9 per m²

Thus; the cost of the sides will be [tex]= \$ 9 \times \dfrac{30}{w}[/tex]

the cost of the sides [tex]= \dfrac{\$270}{w}[/tex]

Thus the total cost = cost of base = cost of sides

[tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]

By differentiation;

[tex]C'(w) = \dfrac{dC}{dw} \\ \\ = 30 \times 2w + 270 ( \dfrac{-1}{w^2}) \\ \\ C'(w) = 60 w - \dfrac{270 }{w^2} \\ \\[/tex]

[tex]\text{To determine the minimum cost:} \\ \\ C'(w) = 0 \\ \\ So, 60 w - \dfrac{270}{w^2}= 0 \\ \\ \text{By integrating w.r.t w} \\ \\ w ( 60 - \dfrac{270}{w^3}) =0 \\ \\ \implies 60 - \dfrac{270}{w^3} \\ \\ w^3 = \dfrac{270}{60} \\ \\ w^3 = \dfrac{9}{2} \\ \\ w = (\dfrac{9}{2})^{1/3} \\ \\ w = 1.6509 \ m[/tex]

From; [tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]

[tex]Cos t = \dfrac{30 w^3+ 270}{w} \\ \\ =\dfrac{30 (\dfrac{9}{2})+ 270}{1.6509} \\ \\ = \dfrac{135+270}{1.6509} \\ \\ = \dfrac{405}{1.6509} \\ \\ \mathbf{Cost = \$245.32}[/tex]

Answer:

his average speed is 12 2/3 kilometers per hour.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The first 2 letters match but the third one doesn’t and S= match so it is SSA

Given:

The quadratic equation is

[tex]y=3x^2-18x+15[/tex]

To find:

The x-coordinate and y-coordinate of the vertex.

Solution:

If a quadratic function is defined by [tex]f(x)=ax^2+bx+c[/tex], then the vertex is defined as:

[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]

If [tex]a<0[/tex], then the function has a maximum at the vertex and ff [tex]a>0[/tex], then the function has a minimum at the vertex.

We have,

[tex]y=3x^2-18x+15[/tex]

Here, [tex]a=3,b=-18,c=15[/tex].

Since [tex]a=3>0[/tex], therefore the function has a minimum at the vertex. So, fill min in first blank.

Now,

[tex]\dfrac{-b}{2a}=\dfrac{-(-18)}{2(3)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{18}{6}[/tex]

[tex]\dfrac{-b}{2a}=3[/tex]

Putting x=3 in the given function, we get

[tex]y=3(3)^2-18(3)+15[/tex]

[tex]y=27-54+15[/tex]

[tex]y=-12[/tex]

Therefore, the vertex is at point (3,-12).

Answer:

Step-by-step explanation:

The diameter of a circle is twice the radius, so the statement is false.

Answer:

i dont know lol

Step-by-step explanation:

why you asking me

Answer:

33n - 13

Step-by-step explanation:

20, 53, 86?

That's an arithmetic sequence with the common term being 33.

The explicit formula? 33n - 13. :)

Answer:

so that when we subtract we are subtracting from the corresponding decimal places

Step-by-step explanation:

Answer: 1 1/7

Step-by-step explanation: 3/7 - 2/7 = 1/7

here the  answer  here you  Step-by-step explanation:

here an the 1 1/7

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]17[/tex] [tex]because[/tex] [tex]you[/tex] [tex]needed[/tex] [tex]to[/tex] [tex]subtract[/tex] [tex]37 and20[/tex]

[tex]- Yaoii[/tex]

Answer:

That is false.

The sum of any two sides in a triangle must be greater than the length of the third side.

We can see that: 7+9 = 16, and 16 is not greater than 18.

So, this is not a triangle.

Let  me know if this helps!

Answer:

-16 and 6

Step-by-step explanation:

If you went back on a graph from 5 eleven times you would get -16 and if you went forward on a graph you would land on 6. Gl human

Step-by-step explanation:

step 1. -6(-2/3 + 2x)

step 2. 12/3 + -12x. distributive property

step 3. 4 - 12x.

Answer:

same

Step-by-step explanation:

Answer:

56 degrees    :)

Answer:

56 degrees

Step-by-step explanation:

the angle next to 76 degrees is a straight line so it is supplementary, meaning it is 104 degrees.

Because the two lines are parallel, and are cut through a transversal, the angle that we just found is actually equal to 48+x because of alternate interior angles. solving for x we get 104-48 = x

x=56

Answer:

the percentage that you are trying to find

for ex if you were trying to figure out how to find 4.5 % thank you would put the over 100% and then divide it.

Step-by-step explanation:

Answer:

The procedure does results in a binomial distribution.

Step-by-step explanation:

For a binomial probability distribution to be applicable, certain conditions have to be met which are :

There must be a fixed number of observations ; here the number of observations are : 79

All observations must be independent ; the observations are independent ; odd or even

Observations must fall into one of two categories : success category or failure. Here, observations can be odd or even

The probability of success must be equally likely for each observation.

Hence, the procedure results in a binomial probability distribution.

Answer:

Step-by-step explanation:

Two faces are 6” by 9”. Two faces are 6” by 2”. Two faces are 9” by 2”.

Surface are = 2*6*9 + 2*6*2 + 2*9*2 = 108 + 24 + 36 = 168 square inches

Answer:

11) x = -5

12) x = -12

13) x = 6

14) y = -9

15) No solution

16) Infinite Solutions

Step-by-step explanation:

11)_______________

5x + 10 = 3x

   -5x          -5x

10 = -2x

divide by -2

x  = -5

12)_______________

6p + 4 = 5p - 8

    +8           +8

6p + 12 = 5p

-6p          -6p

12 = -1x

x = -12

13________________

3x - 22 = -8x + 44

    +22            +22

3x = -8x + 66

+8x   +8x      

11x = 66

x = 6

14________________

-11(k + 4) = 55

-11y - 44 = 55

      +44   +44

-11y = 99

y = -9

15________________

6(c - 8) = 5(2c - 12) - 4c

6c - 48 = 10c - 60 - 4c

6c - 48 = 6c - 60

    +48          +48

6c = 6c - 12

-6c  -6c      

No Solution

16________________

-12y + 21 = -3(5y - 7) + 3y

-12y + 21 = -15y + 21 + 3y

-12y + 21 = -12y + 21

both sides are the same, so

Infinite Solutions

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

A: He had $147.85 more in credits than in debits.

Step-by-step explanation: