A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly selected jury of 12 people is all male

Answer:

x^2 + 6x - 16

=x^2 + ( 8-2 )x -16

=x^2 + 8x - 2x -16

= X(X+8) -2(X+8). ( Taking common from term 1 and 2 and then from 3 and 4)

= ( X+8 ) ( x-2 ) ( Taking common from term 1 and 2).

so, this is the factored form of the expression x^2 + 6x - 16.

Answer:

1.(x-2)(x+8)

Step-by-step explanation:

1.x2+8x-2x-16

=×(x+8)-2(x+8)

=(x-2)(x+8)

Answer:

4, 3, 5, 8, 7, 6, 1, 2

Step-by-step explanation:

Let’s label the options with numbers.

Solve the percentages:

1) 442/(442+267) = 62.4%

2) 701/(701+187) = 78.9%

3) 267/(267+442)= 37.7%

4) 187/(187+701) = 21.1%

5) 442/(442+701) = 39.4%

6) 701/(442+701) = 61.3%

7) 267/(187+267) = 58.8%

8) 187/(187+267) = 41.2%

Arrange from least to greatest.

4, 3, 5, 8, 7, 6, 1, 2

1 minute = 60 seconds

15 seconds /60 = 0.25 minutes.

Total time in minutes is 4.25

Divide total copies by total minutes:

153 / 4.25 = 36 copies per minute

Answer:

[tex]\boxed{\sf 36 \ copies \ per \ minute}[/tex]

Step-by-step explanation:

[tex]\sf 4 \ minutes \ 15 \ seconds = 4.25 \ minutes[/tex]

[tex]\sf The \ copy \ machine \ makes \ 153 \ copies \ in \ 4.25 \ minutes.[/tex]

[tex]\sf To \ find \ copies \ per \ minute, \ divide \ the \ number \ of[/tex]

[tex]\sf copies \ with \ the \ number \ of \ minutes.[/tex]

[tex]\displaystyle \frac{153}{4.25} =36[/tex]

[tex]\sf The \ copy \ machine \ makes \ 36 \ copies \ per \ minute.[/tex]

Answer:

f(0) = 0

Step-by-step explanation:

f(x) = -sqrt(x)

Let x= 0

f(0) = -sqrt(0)

f(0) = 0

Value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]

" A function is defined as the relation between the given variable represents set of all input value should have one output each."

According to the question,

Given function,

[tex]f(x) = -\sqrt{x}[/tex]

Substitute the different values for 'x' for the given function we get,

[tex]x=1 , f(1) = -\sqrt{1}[/tex]

                 [tex]=-1[/tex]

[tex]x=4 , f(4) = -\sqrt{4}[/tex]

                 [tex]=-2[/tex]

[tex]x=0, f(0) = -\sqrt{0}[/tex]

                 [tex]=0[/tex]

Therefore, given relation is a function.

Hence, value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]

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If [tex]f(x)=x^2e^{-x^3}[/tex], then the area between the graph of [tex]f(x)[/tex] and the x-axis for non-negative x is given by the integral,

[tex]\displaystyle\int_0^\infty x^2e^{-x^3}\,\mathrm dx[/tex]

Let [tex]u=-x^3[/tex] and [tex]\mathrm du=-3x^2\,\mathrm dx[/tex]; then the integral is equivalent to

[tex]\displaystyle-\frac13\int_0^{-\infty}e^u\,\mathrm du=\frac13\int_{-\infty}^0e^u\,\mathrm du=\frac13\left(1-\lim_{u\to-\infty}e^u\right)=\boxed{\frac13}[/tex]

Answer:

72

Step-by-step explanation:

There are 12 inches in a foot.

Therefore in 8 feet there are 96 inches

Therefore the square floor is 96 * 96.

Therefore the area of the square floor is 9216 inches squared.

Each tile is 8 inches by 8 inches meaning it has an area of 64 inches squared.

9216 / 64 = 144.

Therefore 144 tiles are needed to tile the floor

Since each tile is 50 cents, 144 * 0.5 = 72

Therefore it costs 72 dollars to tile the floor.

Answer:

105°

Step-by-step explanation:

Supplementary angle of 75° = 180° - 75° = 105°

Answer:

105°

Step-by-step explanation:

angle given is 75°

= 180° - 75°

= 105°

Answer:

Step-by-step explanation:

The table is easier to read if formatted more like a table:

Number of Weeks Avg. Number of Visits

  0 48,000

  1 24,000

  2 12,000

  3 6,000

  4 3,000

  5 1,500

__

The initial number of visits to the website was 48,000. -- the value for week 0.

The percent decrease from 4th week to 5th week was 50%. ((new/old) -1)·100% = (1500/3000 -1)·100% = -50%

The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. (the number in the 5th week)

Answer:

Yes the sample data   indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years

Step-by-step explanation:

From the question we are told that

   The sample size is  [tex]n = 51[/tex]

    The sample mean is  [tex]\= x = 2.03[/tex]

    The sample standard deviation is  [tex]\sigma = 0.82[/tex]

    The population mean is  [tex]\mu = 1.75[/tex]

    The level of significance is  [tex]\alpha = 0.01[/tex]

The null hypothesis  is  

      [tex]H_o : \mu = 0.82[/tex]

The alternative hypothesis is

     [tex]H_a : \mu >1.75[/tex]

The critical value of the the level significance [tex]\alpha[/tex] obtained from the critical value table for z-value is [tex]z_\alpha = 2.33[/tex]

 Now the test statistic is mathematically evaluated as

          [tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

substituting values  

           [tex]t = \frac{ 2.03 - 1.75 }{\frac{0.82}{\sqrt{51} } }[/tex]

           [tex]t = 2.44[/tex]

From that calculated and obtained value we see that the critical value of the level of significance is less than the test statistics so we  reject the null hypothesis

Hence there sufficient evidence to proof that the sample data indicates that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years

Answer:

The last set.

Step-by-step explanation:

The first 3 sets  contain  'one-to-many' relations , for example (1, 3) and (1, 5) in set 1 and (0, 0) and (0, 2) in set  3 , so they are not functions.

The last set does not have any of these and is a function.

Answer:

s = 1/t - 1/r

Step-by-step explanation:

1/r+s=1/t

Subtract 1/r from each side

1/r - 1/r+s=1/t- 1/r

s = 1/t - 1/r

Answer:

[tex]\huge{\boxed{s=t-r}}[/tex]

Step-by-step explanation:

if

[tex]\dfrac{1}{r+s}=\dfrac{1}{t}\qquad\text{cross multiply}\\\\(1)(t)=(1)(r+s)\\\\t=r+s\qquad\text{subtract}\ r\ \text{from both sides}\\\\t-r=r-r+s\\\\t-r=s\to\boxed{s=t-r}[/tex]

Answer:

576"

Step-by-step explanation:

AL=ph

AL= (4*12)12

AL= 48*12

AL=576"

Answer:

Step-by-step explanation:

We assume you are not interested in five infinite sets of translations. Rather, we assume you want to pick 5 translations from the infinite set of possibilities.

The attached graph shows f(x), g(x), and 5 lines (dashed or dotted) that represent possible reflections and shifts of the function f(x).

The function f1 represents a reflection of f(x) about the x-axis, followed by a left-shift of 6 units. To make it match g(x), we need to shift it upward 4 units. Then the set if translations is ...

  g(x) = f(x) ... {reflected over the x-axis, shifted left 6, shifted up 4}

Along the same lines, other possibilities are ...

  g(x) = f(x) ... {reflected over the x-axis, shifted left 3, shifted up 3}

  g(x) = f(x) ... {reflected over the x-axis, shifted left 0, shifted up 2}

  g(x) = f(x) ... {reflected over the x-axis, shifted right 3, shifted up 1}

  g(x) = f(x) ... {reflected over the x-axis, shifted right 9, shifted down 1}

___

Additional comment

All of the transformations listed above use reflection in the x-axis. Reflection could use the y-axis, as well. Reflection of the basic function f(x) in the y-axis will have the identical effect as reflection in the x-axis. The listed translations would apply unchanged.

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▹ Answer

x = 13/3, 4 1/3, or 4.3

▹ Step-by-Step Explanation

x + 7 - 4(x + 1) = -10

x + 7 - 4x - 4 = -10

-3x + 7 - 4 = -10

-3x + 3 = -10

-3x = -10 - 3

-3x = -13

x = 13/3, 4 1/3, or 4.3

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

x = 13/3

Step-by-step explanation:

x + 7 - 4(x + 1) = -10

x + 7 - 4x - 4 = -10

-3x + 3 = -10

-3x = -13

x = -13/(-3)

x = 13/3

Answer:

False

Step-by-step explanation:

To find <A, we can do 5x - 80 = 3x + 20.

As we simplify, we will get 2x = 100, which is x = 50

Therefore, <A will be 50 degrees and not 45 degrees.

Also, if you need y, you can do:

3y - 7 = y + 7

2y = 14

y = 7

Answer: lower bound = 0.7404; upper bound = 0.8596

Step-by-step explanation:

The proportion p for this population:

p = [tex]\frac{240}{300}[/tex]

p = 0.8

Confidence interval for proportion is calculated as:

p ± z-score.[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

Z-score for a 99% confidence interval is: z = 2.58

Calculating:

0.8 ± 2.58.[tex]\sqrt{\frac{0.8(0.2)}{300} }[/tex]

0.8 ± 2.58.[tex]\sqrt{0.00053}[/tex]

0.8 ± 2.58(0.0231)

0.8 ± 0.0596

This means that the lower limit of this interval is 0.7404 and upper bound is 0.8596

Answer:

C) 59.66 m

Step-by-step explanation:

C = pi d

in this case, d=19

so, when you solve, with a negative pi, you get somewhere around 59.66.

because -3.14 times 19 equals 59.69, which is closest to c.

Answer:

7 out of 8

Step-by-step explanation:

heads gets tossed and there's only 6 numbers to choose from on the die

Answer:    =0.375

Step-by-step explanation:

Actually we have to find the probability that both events will happened.

1st event the coin will be turned by a head P(head).

2nd event the number is greater than 2 , i.e. can be 3,4,5,6,7 or 8 P(a>2)

Both events  do not depend from each other. So the resulted probability

can be calculated multuplying probabilities P(head) and P(a>2) on each other. P(head, a>2)= P(head)*P(a>2)

P(head) =1/2=0.5 so the coin has 2 sides only one of them is head.

P(a>2)=6/8 so rolling the eight -sided doe 8 outcomes are possible and six of them 3,4,5,6,7 or 8 can give us the number that is bigger than 2.

P(a>2)=6/8=3/4=0.75

P(head, a>2)= P(head)*P(a>2)=0.5*0.75=0.375 ( rounding is not necessary, so we get exactle 3 digits after the point)

Answer:

(5,6), (-2,8)

Step-by-step explanation:

I have a good math expertise. Don't question my skills as they are correct. woof woof waffling behavior. Thnak you hr welcne

Answer:

3/8

Step-by-step explanation:

There are 72 students.  27 students choose football, and 18 choose tennis, which means 27 choose running.

So the probability that a student chooses running is 27/72, which reduces to 3/8.

Answer:

please, check the explanation.

Step-by-step explanation:

Hello, I can help you with this

using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)

I hope it helps , Have a nice day

Answer: look in the explanation this is the exact sample responce on ed2020 change it into your own words

Step-by-step explanation:

For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

Answer:

7(m-8)

Step-by-step explanation:

We are given: 7 times the difference between m and 8

We want to write an expression. Let’s begin with “the difference between m and 8”.

Difference means subtraction. Therefore, we must subtract m and 8.

(m-8)

Now, let’s add on “7 times”

Times means multiply. Therefore, we must multiply 7 and the expression we just wrote.

7(m-8)

Therefore, 7 times the difference between m and 8 can be written as: 7(m-8)

Answer:

7(m-8)

Step-by-step explanation

7 times the difference between m and 8​ = 7*(m-8)

First, we know that difference, in a mathematical term, means subtraction, and “times” Means multiplication.

But, since it says,” difference between m and 8”, we must put those in parentheses, so we know that it is m-8, not 7*m.

so, therefore you have 7*(m-8), or 7(m-8)

Answer:

Hey there!

We can solve this by multiplying 0.3 by 546, which is about 164.

Hope this helps :)

Explanation: Set up your equation as you read through the problem.

"What" means x, "is", equals, "30%", 30/100, "of", times, "546", 546.

So our equation reads x = 30/100 · 546.

Simplifying on the right side of the equation,

we can reduce 30/100 to 3/10.

So we have x = 3/10 · 546.

Now multiply across the numerators and denominators to get 1638/10.

This reduces to 819/5 which can be written as 163.8.

Answer:

1510 h, or 3:10 PM.

Step-by-step explanation:

The next time they meet at the bus terminal will be a multiple of 50, 80, and 100.

A common factor among the three numbers is 10. If we divide all three by 10, we will get 5, 8, and 10. 5 is a factor of 10, so as long as 5 is multiplied by an even number, 10 will be a multiple.

Since the number will have to be divisible by both 5 and 8, the smallest possible number would be 5 * 8 = 40. So, the next time they meet at the bus terminal will be 40 * 10 = 400 minutes after 8:30.

400 minutes in hours is 400 / 60 = 40 / 6 = 20 / 3 = 6 hours and 2/3.

2/3 of an hour in minutes is (2/3) * 60 = 2 * 20 = 40.

So, they will meet again in 6 hours and 40 minutes.

8:30 plus 6 hours and 40 minutes is 14:70. 70 minutes translates into an hour and 10 minutes. So, the time will be 15:10, or 3:10 PM.

Hope this helps!

Answer:

1-{0.2(m-3)+¼}=0

1{0.2m-0.6+¼}=0

1-{(0.8m-2.4+1)/4}=0

1-(0.8m-1.4)/4=0

lcm

(4-0.8m-1.4)/4=0

(2.6-0.8m)/4=0

cross multiply

2.6-0.8m=0

m=2.6/0.8

m=3.25

The solution of the expression are,

⇒ m = 3.25

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

Given that;

Expression is,

⇒ 1 - | 0.2 (m - 3) + 1/4 | = 0

Now, We can simplify as;

⇒ 1 - | 0.2m - 0.6 + 1/4| = 0

⇒ 1 - |0.2m - 0.6 + 0.25| = 0

⇒ 1 - |0.2m - 0.35| = 0

⇒ 1 = 0.2m + 0.35

⇒ 1 - 0.35 = 0.2m

⇒ 0.2m = 0.65

⇒ m = 3.25

Thus, The solution of the expression are,

⇒ m = 3.25

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​Answer:

14.29cm

Step-by-step explanation:

Height of the building=10cm

Angle of depression=60°

We are therefore asked to find the distance from the stone to the

the foot of the building;Therefore we use Tan ratio which is opp/adj;

Let the distance from the stone to the foot of the building be x;

10/x=Tan60°

10/x=1.7/1

We then cross multiply to get 1.7x=10

x=10/1.7

=10*10/1.7*10

=100/17

=14.29cm.

Answer:

Step-by-step explanation:

area = base x height

where base = 20 ft.

        height = ?

           area = 120 ft²

plugin values into the formula

120 = 20 x height

height = 120  

               20

height = 6 ft.

Answer:

x=5

Step-by-step explanation:

h (x) = 3

We want the x values where y =3

The values are x = -7 and x=5

Answer:

b.27 c. 36 (THIS ANSWER IS CORRECT....IM IN RSM ;)

Step-by-step explanation:

The bottom one is for b.

Okay now for c. Lets first think about every cube that has two faces painted. all the cubes on the edges right? So that would be 5*12=60 but that isn't the answer because the problem stated EXACTLY two faces. That means every cube on a vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guide lines on each edge and there are 12 edges. So your answer would be 3*12=36!

You can do it simply by seeing that the outer cubes will have their upper surfaces painted and thus 5*5 squares for each outer surface which will leave a cube with 3×3×3 dimensions. It is 3*3*3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. So the length width and height will all end up as 5-2=3. Its kind of hard to explain and i suggest you draw it out if you don't understand...

The number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes have exactly two faces painted. is 36.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

b. BY looking that the outer cubes will have their upper surfaces painted and thus 5 x 5 squares for each outer surface which will leave a cube with 3×3×3 dimensions.

It is 3 x 3 x 3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. The length width and height will all end up as 5-2=3.

c. Let's first think about every cube that has two faces painted. So that would be 5x 12=60 but that isn't the answer because the problem stated exactly two faces.

That means every cube on vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guidelines on each edge and there are 12 edges.

The number is calculated as:-

N = 3x 12=36

Hence, the number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes has exactly two faces painted. is 36.

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