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Probability that he chooses two different types of biscuits is 53.65 %.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.

Given

Total biscuits, n = 8

Digestive biscuits = 5

Chocolate biscuits = 3

There are two patterns to chose two different biscuits; a digestive then a chocolate or a chocolate and then a digestive.

∴ The probability of choosing a digestive then a chocolate

= [tex]\frac{5}{8}\times\frac{3}{7}[/tex]

= [tex]\frac{15}{56}[/tex]

= 0.267

The probability of choosing chocolate and then a digestive.

= [tex]\frac{3}{8} \times\frac{5}{7}[/tex]

= [tex]\frac{15}{56}[/tex]

= 0.267

Hence, The combined probability

= [tex]\frac{15}{56}+ \frac{15}{56}[/tex]

= [tex]0.536[/tex]

= 53.6 5 %

Probability that he chooses two different types of biscuits is 53.65 %.

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Answer:

Step-by-step explanation:

Slope: 5

Point: (3, -7)

Equation = ? = y = mx + b

y - intercept = ?

Step 1. Input the coordinates into the equation of y = mx + b.

y = 5x + b

y-coordinate = -7

x-coordinate = 3

-7 = 5(3)+b

Step 2. Solve for b.

-7 = 15 + b

-15  -15

b = -33

Step 3. Make the y equation.

y = mx + b

mx = 5x

b = -22

y = 5x - 22

Hope it helped,

Kavitha Banarjee

Answer:

A. 14 CDs

Step-by-step explanation:

Divide by 7 to get the unit rate, then multiply by 2 to get your answer

Answer:

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

Step-by-step explanation:

First, look at the graph and pick out two points that we can use for the slope equation. I see (0,2) and (-2,5) as two possibilities. Now, we just plug them into the slope equation. Remember that the slope equation is

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

(the '2' and '1' are subscripts, not exponents)

Let's call our first point (0,2) x1 and y1. (-2,5) can be the second point.

If we plug this into the equation:

[tex]m=\frac{5-2}{-2-0}[/tex]

Now we just simplify and get

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

Our slope is [tex]-\frac{3}{2}[/tex].

I hope this helps!

Answer:

line represented by the equation y=−12x−5 and passes through (6,−4) ... y−6=2(x+4) ... First find the slope m for the new line, rule for a perpendicular slope is: your equation is in slope intercept form y=mx+b : ... m=−12 so your new slope m'=−1−12=2 ... graph{y=-1/2x - 5 [-18.92, 21.08, -14.56, 5.44]}.

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Answer:

84

Step-by-step explanation:

Let the first digit = x

Let the second digit =y

x + y = 12

x + 4 = 3*y

===========

From the second equation, we learn that x = 3y - 4

Put that into the first equation.

3y - 4 + y = 12          Combine the left side

4y - 4 = 12                Add 4 to both sides

4y = 16                     Divide by 4

4y/4 = 16/4        

y = 4  

=================

x + 4 = 12

x + 4 - 4 = 12-4

x = 8

So the number is 84

There is a typo in the question. Where it reads 'state of' should read 'shaded'

Answer:

[tex]A=27.47\ mm^2[/tex]

Step-by-step explanation:

Area of a Circle

Given a circle of radius r, its area can be calculated as follows:

[tex]A=\pi r^2[/tex]

The area of the shaded region can be found by subtracting the area of the large circle minus the area of the small circle.

We already know the area of the large circle:

[tex]A_l=28.26\ mm^2[/tex]

Now we calculate the area of the small circle of radius r=0.5 mm:

[tex]A_s=\pi\cdot 0.5^2[/tex]

Calculating:

[tex]A_s=0.79\ mm^2[/tex]

The area of the shaded region is:

[tex]A=A_l-A_s=28.26\ mm^2-0.79\ mm^2[/tex]

[tex]\mathbf{A=27.47\ mm^2}[/tex]

Answer:

No solution

Explanation:

-4+19-7f = -15-7

cancel terms on both sides ( add 7f on both sides)

Calculate the sum

-4+19= -15

-4+19=15

15 = -15

The statement 15 = -15 is false so there is no solution :)

Answer:

2.9 x 10∧-7

Step-by-step explanation:

Answer:

2.9 × 10^-7

Hope this helps

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

We know that,

Then,

We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.

Sum of squares of smaller sides:

= 6² + 8²

= 36 + 64

= 100

Square of longer side:

= 10²

= 100

Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.

And we are done! :D

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]

Answer:

13 and -13

Step-by-step explanation:

because 17 - 4= 13 and -10 - -3 = 7 because two neg equals pas

Answer:

no they are not

Step-by-step explanation:

Answer:

Yes, they are perpendicular to each other.

Step-by-step explanation:

If lines are corresponding in any way, they are automatically perpendicular. These lines are corresponding to each other when switching the x and y values.

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Have an excellent day!

Answer: 12.5

Step-by-step explanation:

25th Percentile: 5.5

50th Percentile: 13

75th Percentile: 18

Interquartile Range: 12.5

Answer:

x = 20

Step-by-step explanation:

5x + 9 + 3x + 11 = 180

Combine like terms

8x + 20 = 180

Subtract 20 from both sides

8x = 160

Divide both sides by 8

x = 20

Answer:

-146

Step-by-step explanation:

Step-by-step explanation:

putting the value f(-9) in expression

= -(-9)^2-7×(-9)-2

= 81+63-2

=142

Answer:

36.9%

Step-by-step explanation:

The formula for Percent Error =

[|Approximate value - Actual value|/ Actual value ] × 100

Approximate value = 35 minutes

Actual value = 55.5 minutes

Percent Error =[ |35 - 55.5|/55.5] × 100

Percent Error = |-20.5|/55.5 × 100

Percent Error = 20.5/55.5 × 100

Percent Error = 36.936936937%

Approximately to the nearest tenth = 36.9%

Answer:

D.

Step-by-step explanation:

Answer:

3

The three regions of Latin America are:

Answer:

12

Step-by-step explanation:

All you have to do is divide 3/4 into 9

when dividing fractions you do the process (kcf) keep change flip

you keep the first fraction change the division sign to multiplication then flip your 2nd fraction

9/1 divided by 3/4

keep the first fraction

change the division to multiplication

flip the 2nd fraction which is 3/4 flip it and make it 4/3

now you multiply 9/1 * 4/3

9 times 4 is 36

1 times 3 is 3

36/3 is an improper fraction so you can change it to a whole number because 36 divided by 3 is 12.

Answer:

<p

Step-by-step explanation:

Answer: <p

Step-by-step explanation: I did the quiz

10 cubic centimeters of a 60% alcohol solution, would mean 10 x 60% = 6 cc is alcohol the other 4 cc is water.

To make a 90% solution, the water would be 10% of the solution.

If 4 cc is 10%, the total is 40 cc.

40 - 10 = 30 cc

30 cubic centimeters needs to be added.

Answer: 13.56

Step-by-step explanation:

Pythagorean theorem says base^2 + perpendicular ^2 = hypotenuse^2

So base^2 + 21^2 = 25^2

Or 25^2 - 21^2 = base^2 = 184

Base = root 184 or 13.56

Answer:

D. 28 dollars

Step-by-step explanation:

42% = .42

"of" means to multiply

68.89 × .42= 28.9

28 is the closest answer.

Answer:

The answer would be D.28 dollars

Step-by-step explanation:

Its 28 dollars because,

Discount = Original Price x Discount %/100

Discount = 68.99 × 42/100

Discount = 68.99 x 0.42

You save = $28.98

Final Price = Original Price - Discount

Final Price = 68.99 - 28.9758

Final Price = $40.01

Answer:

a) The number of visits between the patrons who buys the season passes shows higher frequency than those who did not buy season passes, in general. However, the minimum value of 1 visit is present for both cases.

b) The mean visits of the patrons are just PARAMETERS. If you want to test your hypothesis using hypothesis testing, the statistics are the z or t scores comparing the parameters (means).

c) The proportion who would have paid less are those with 2 or fewer visits because they would only just paid $82 instead of $100.

Number of patrons with 2 or fewer visits: 16

Total number of patrons who bought season passes: 30

Proportion who would've paid less = 16/30 = 0.5333

Step-by-step explanation:

I just did it

We can briefly describe the distribution represented by the boxplot thus :

B.)

C.)

Day pass = $41

Season pass = $100

In other to pay less by purchasing a day pass :

This means total amount paid = $(41 × 2) = $82

Number of patrons who had ≤ 2 visits = 16

Total Number of patrons = 30

Proportion who would have paid less :

Therefore, the proportion of patrons who would have paid less is 0.533.

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Answer:

x = -2

Step-by-step explanation:

10 - 3x = 16

-3x = 16 - 10

-3x = 6

x = 6/-3

x = -2

Answer:

$1,489.94

Step-by-step explanation:

Answer:

1,489.94

Step-by-step explanation:

6.5% = 0.065

1399x 0.065= 90.935

1399 + 90.935 = 1,489.94

Answer:

d

Step-by-step explanation:

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