Question 2 (4 points)
A student rolled two six-sided dice. what is the probability that the first die landed
on a number less than 3 and the second die landed on a number greater than 3?

Answer:

0 times because 8 is greater than 0

Step-by-step explanation:

Answer:

the answer would be 0 because if you try to put 8 into 0, it wont so your answer would be 0

Answer:

if 2.4 is there it will become -2. 4

Answer:

300

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

300 x 1 = 300

1 x 300 = 300

Answer:

width = 15 ft

length = 18 ft

Step-by-step explanation:

lets assume the width is w, and length is l.

For the first equation, we all know that a rectangle is 2 widths and 2 lengths added up, which in "math" language looks like this:

2w+2l= 66

for the second equation, the problem says that the length is 3 ft greater than the width. From there, we can derive the equation:

w+3 = l

Now you can substitute one of the variables, length or width, but it is easier to do length. The equation ends up being:

2(w+3) + 2w = 66

Distributive property:

2w+6+2w = 66

which is equal to:

4w+6 = 66

which finally is:

w=15 ft.

Now that we know the width, we can just add 3 to the width to get the length, according to the problem. You get:

L = 18 ft.

Answer:

5x-5

Step-by-step explanation:

add the expression and simplify 2x - 1 + 3 x  -4 add 2x and 3x

5x-1-4 subtract 4 from -1

equals 5x-5

Answer:

40

Step-by-step explanation:

Working backwards, he has to get 140 from working hours alone. 140/3.5=40. He has to work 40 hours to get at least 165

Answer:

41.25 I believe

Step-by-step explanation:

Answer:

41.5 degree difference

Step-by-step explanation:

Answer:

its pretty simple actually put a point after the -1 (-0.9) and move left twice from -1 to get the plot point -1.2

Answer:

-1

Step-by-step explanation:

Answer:

- 1/6 is correct

perpendicular refers to the opposite of 1/6 therefor being negative 1/6

Step-by-step explanation:

Answer:

The amount of time that Sarah sleeps is 6<x<8

Step-by-step explanation:

Mathematical inequality is that proposition that relates two algebraic expressions whose values ​​are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.

A compound inequality (or combined inequality) is two or more inequalities joined with or and and.

When two inequalities are joined with and, they are often written as a double inequality.

You know that teenagers should sleep between 8 and 10 hours per night.. Being x the number of hours slept per night, this can be represented by the following double inequality:

8<x<10

If Sarah normally sleeps 2 hours less per night, this indicates that she sleeps between (8-2) and (10-2) hours per night, that is, between 6 and 8 hours. Represented by a double inequality, Sarah normally sleeps:

6<x<8

The amount of time that Sarah sleeps is 6<x<8

Answer:

x=2 and y=−3

Step-by-step explanation:

Answer: 7.04

Step-by-step explanation:

Subtract 154.94- 147.88 because its asking how much more you made on the second paycheck then the first. So in order to get the answer subtract

Answer:

The 95 confidence interval   is  [tex]9.738  <  \mu < 10.262 [/tex]

Step-by-step explanation:

The sample size is  n  =  7

 The sample data  is  9.8, 10.2, 10.4, 9.8,10.0, 10.2, and 9.6 liters

Generally the sample mean is mathematically represented as

            [tex]\= x = \frac{\sum x_i }{n }[/tex]

=>          [tex]\= x = \frac{ 9.8 + 10.2 + 10.4 +\cdots + 9.6}{7 }[/tex]

=>          [tex]\= x = 10[/tex]

Generally the standard deviation is mathematically represented as

       [tex]\sigma = \sqrt{\frac{\sum ( x_i - \= x)^2 }{n-1} }[/tex]

=>    [tex]\sigma = \sqrt{\frac{ ( 9.8 - 10)^2 + ( 10.2 - 10)^2+ \cdots + ( 9.6 - 10)^2}{7-1} }[/tex]  

=>    [tex]\sigma =0.283[/tex]

Note : We are making use of t distribution because n is small i.e n < 30

Generally the degree of freedom is mathematically represented as

       [tex]df = n - 1[/tex]

=>     [tex]df = 7 - 1[/tex]

=>     [tex]df = 6[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of   at a degree of freedom of    is  

   [tex]t_{\frac{\alpha }{2}, 6 } =  2.447 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2} , 6} *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.447  *  \frac{0.283}{\sqrt{7} }[/tex]

=>    [tex]E =  0.262 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]10 -0.262 <  \mu <10 + 0.262[/tex]

=>    [tex]9.738  <  \mu < 10.262 [/tex]

Answer:

Tracy must buy 4 apple pies, 4 banana pies, and 8 chocolate pies.

Step-by-step explanation:

The complete question would be:

"Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5 apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants 16 pies for her sisters and must buy as many chocolate pies as apple pies and banana pies combined. How many of each item should she buy?

Write a system of equations of this problem."

Then, we will write a system of equations according to the information given in the problem:

We must consider each type of pie as an unknown, so:

x: the amount of apple pies

y: the amount of banana pies

z: the amount of chocolate pies

As she has a budget of $82, the amount of each pie must be multiplied by its price and the total sum must be 82:

5x + 4.5y + 5.5z =82 (1)

The total amount of pies must be 16:

x + y + z = 16 (2)

And the amount of chocolate pies must be equal to the quantity of apple pies and banana pies combined:

z= x + y (3)

System of equations:

(1) 5x + 4.5y + 5.5z =82

(2) x + y + z = 16

(3) z= x + y

First, we subtract x and y on 3 on both sides:

z - (x + y )= x + y - (x + y)

-x -y +z = 0

Then, we add 2 and 3:

(2) x + y + z = 16

(3) -x -y +z = 0

2 z=16

z=8

We replace the value of z on 3 and substract x on both sides:

x + y =8

y=8 - x

We use this on equation 1:

5x + 4.5y + 5.5z =82

5x + 4.5×(8-x) + 5.5×8=82

5x + 36 - 4.5x + 44 = 82

0.5x + 80 =82

0.5x=82-80

0.5x=2

x=2/0.5

x=4

We replace the values of x and z on equation 2:

x + y + z = 16

4 + y + 8 = 16

y + 12 = 16

y=16-12

y= 4

Tracy must buy 4 apple pies, 4 banana pies, and 8 chocolate pies.

Answer:

To simplify an expression, we should apply the order of operations top-down

Step-by-step explanation:

The order of operation can be represented as;

BODMAS

If we have an expression to simplify, then the order of operations is from left to right

This means that it is in a top-down fashion i.e from brackets to subtraction and not bottom-up order from subtraction to bracket

Answer:B

Step-by-step explanation

Answer:

The answer is 19.

Step-by-step explanation:

3x+1+12=9x+1

3x+13=9x+1

13=6x+1

12=6x

x=2

3(2)+1+12=19

Answer:

CA = 19

Step-by-step explanation:

3x + 1 + 12 = 9x + 1

combine like terms

3x + 13 = 9x + 1

Subtraction property of equality

3x - 3x + 13 = 9x - 3x + 1

13 = 6x + 1

Subtraction property of equality

13 - 1 = 6x + 1 - 1

12 = 6x

Division property of equality

12/6 = 6x/6

2 = x

Symmetric property of equality

x = 2

Substitute x for 2

9(2) + 1 = 19

Answer:

b= 13.................................

Step-by-step explanation:

143/11

Answer:

$1.8

Step-by-step explanation:

Given :

5 pounds of avocado = $9

This means that 5 pounds of avocado cost $9; The cost of 1 pound of Avocado can be obtained thus ;

Let cost of 1 pound of avocado = a

5 pounds = $9

1 pound = a

Cross multiply

5 * a = $9 * 1

5a = 9

Divide both sides by 5

5a / 5 = 9/5

a = 1.8

Hence, 1 pound of avocado will cost $1.8

Answer:

Step-by-step explanation:

Answer:

4mm

Step-by-step explanation:

The ratio of the two congruent shapes are 2.5:1

15 : 6 = 2.5 : 1

15/6 = 2.5

5 : 2 = 2.5 : 1

5/2 = 2.5

Therefore, 10 : x = 2.5 : 1

10/x = 2.5

x = 4

Answer: 15, 2, 6, and 5

Step-by-step explanation: they are equal to the measurements listed

Answer:

lets say ella and 3 other friends went, so since there is 4 people in total, there will be 4 $5 dollar tickets, so you multiply 5 and 4 which is $20.

Step-by-step explanation:

Answer:

The code has 7 digits:

Here you are asking:

"What is the probability that the code is consisting only of the digits {1, 2, 3, 4, 5, 6, 7}?"

Ok, first we must calculate the number of all the possible codes.

Suppose that each digit is an independent event.

Each one of those events has 10 possible outcomes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

And we have 7 of those.

The total number of possible combinations is equal to the product of the number of outcomes for each event, then the total number of possible combinations is:

C = 10^7.

Now let's calculate the number of possible codes if we only use the digits in the restriction.

We can do exactly the same as above, but now in each case, we have 7 possible outcomes for each digit, then in this case the number of possible combinations is:

c = 7^7.

Now the probability of generating at random a code that only uses the digits  {1, 2, 3, 4, 5, 6, 7} is equal to the quotient between the number of codes that only use these digits, and the total number of possible codes.

P = c/C = (7^7)/(10^7) = (7/10)^7 = 0.082

Answer:

2 19/21, 61/21

Step-by-step explanation:

First, lets make the denimonators, "3 and 7" common. 3 and 7 are prime numbers, so the common denonminator is "21".

For 7/3, multiply by "7/7" and for 4/7 multiply by "3/3".

49/21 + 12/21

Add.

61/21

61 is a prime number so this answer will be your final answer.

(unless you have to put it as a mixed number which would be 2 19/21)

Answer:

61/21

Step-by-step explanation:

The 2 fractions must have a common denominator and you do that by finding the LCM and the multiply the numerators by what you multiplied the denominators by in order to get that number. From here you must add the numerators together and keep the denominator the same and then you get that answer. You cannot simplify anymore so your answer is above.

(hope you get it right)

Mark Brainliest Please

Answer:

85

Step-by-step explanation:

The equation for the discriminant is

b^2-4(a)(c)

Plug your numbers in from the equation.

1=a, -7=b, -9=c

(-7)^2-4(1)(-9)

49-(-36)

49+36

85

Answer:

The Answer is x^2/2

Step-by-step explanation:

The ^ is the power of _

In this case ^ is the power of 2.

Answer:

A) s = $40 (in thousands of dollars)

B) point of diminishing returns is at;

(20, 2000) in thousands of dollars

Step-by-step explanation:

We are given the profit function as;

P = −0.1s³ + 6s² + 400

A) To maximize the profit, we need to find the first derivative and equate it to zero.

Thus;

dP/ds = -0.3s² + 12s

At dP/ds = 0, we have;

-0.3s² + 12s = 0

0.3s² = 12s

0.3s = 12

s = 12/0.3

s = $40 (in thousands of dollars)

B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.

Thus;

d²P/ds² = -0.6s + 12

At d²P/ds² = 0, we have;

-0.6s + 12 = 0

0.6s = 12

s = 12/0.6

s = 20

At s = 20,

P = −0.1(20)³ + 6(20)² + 400

P = -800 + 2400 + 400

P = 2000

Thus; point of diminishing returns is at;

(20, 2000) in thousands of dollars