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Answer:

[tex]Probability = \frac{1}{969}[/tex]

Step-by-step explanation:

Given

[tex]Members = 19[/tex]

[tex]Selection = 3[/tex]

Required

Determine the probability of selecting Jim, Bruce and Valerie

First, we need to calculate the possible number of selections.

This is calculated using combination formula:

[tex]Selection = ^nC_r[/tex]

[tex]Selection = ^{19}C_3[/tex]

[tex]Selection = \frac{19!}{(19-3)!3!}[/tex]

[tex]Selection = \frac{19!}{16!3!}[/tex]

[tex]Selection = \frac{19 * 18 * 17 * 16!}{16! * 3 * 2 * 1}[/tex]

[tex]Selection = \frac{19 * 18 * 17}{3 * 2 * 1}[/tex]

[tex]Selection = \frac{19 * 18 * 17}{6}[/tex]

[tex]Selection = 969[/tex]

Selection of Jim, Bruce and Valerie is only 1 selection of the 960 possible selection.

So:

[tex]Probability = \frac{1}{969}[/tex]

The probability that Jim, Bruce, and Valerie are selected in any​ order is [tex]\rm P=\dfrac{1}{969}[/tex] and this can be determined by using the given data.

Given :

Assume that Jim, Bruce, and Valerie are three of the 19 members of the​ class and that three of the class members will be chosen randomly to deliver their reports during the next class meeting.

In order to determine the probability that Jim, Bruce, and Valerie are selected in any​ order, first determine the total number of possible selections.

The total number of possible selections is given by:

[tex]\rm S = \; ^nC_r[/tex]

[tex]\rm S = \; ^{19}C_3[/tex]

[tex]\rm S = \dfrac{19!}{16! \times 3!}[/tex]

S = 969

So, the probability that Jim, Bruce, and Valerie are selected in any​ order is:

[tex]\rm P=\dfrac{1}{969}[/tex]

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Answer:

Please check the explanation.

Step-by-step explanation:

Let suppose [tex]x[/tex] be the width of the rectangle.

As the length is 15 centimeters more than its width i.e.

[tex]length = x+15[/tex]

Therefore, the width of the rectangle will be:

[tex]x = length - 15[/tex]

CHECK BY EXAMPLE

Let suppose if the length of the rectangle is 20 cm.

Then the width of the rectangle will be:

x = length - 15

  = 20 - 15

   = 5 cm

Therefore, the width of the rectangle will be 5 cm.

Answer:

[tex]Discount = \$19.98[/tex]

Step-by-step explanation:

Given

[tex]Amount = \$49.95[/tex]

[tex]Price\ Off = 40\%[/tex]

Required

Determine the discount

The discount is calculated by multiplying the price off by the original price:

[tex]Discount = Amount * Price\ Off[/tex]

[tex]Discount = \$49.95 * 40\%[/tex]

Convert % to decimal

[tex]Discount = \$49.95 * 0.40[/tex]

[tex]Discount = \$19.98[/tex]

Hence, the amount of discount is $19.98

Answer: 7 years

Step-by-step explanation:

Let t be the number of periods in which geese doubles .

The exponential growth function:[tex]y=Ab^t[/tex] , where A = initial value , b= growth factor.

As per given , A = 5 , b=2

i.e. Number of geese after t periods = [tex]y=5(2)^t[/tex]

Put y=111, we get

[tex]111=5(2)^t\\\\\Rightarrow\ \dfrac{111}{5}=2^t\\\\\Rightarrow\ 22.2=2^t[/tex]

Taking log on both sides , we get

[tex]\log 22.2 = t\log 2\\\\\Rightarrow\ 1.346353=t(0.30103)\\\\\Rightarrow\ t=\dfrac{1.346353}{0.30102}\\\\\Rightarrow\ t=4.47263636\approx4.47[/tex]

Now , total months = 4.47 x 18 =80.46≈ 80 months

since 1 year =12 months

Number of years it will take [tex]=\dfrac{80}{12}=\dfrac{20}{3}=6.66666666667\approx7[/tex]

Hence, it will take 7 years (approx.)

Answer:

3%

Step-by-step explanation:

105 = 700 x r x 5

r = 105 / ( 700 × 5 ) = 0.03

r = 0.03

0.03 in percent is 3%

Answer: the larger number is 54

Step-by-step explanation:

x + y = 56

xy = 108

x = 56 - y

substitute the x value in equation

(56 -y) y = 108

56y - y^2 = 108

y^2 - 56y + 108 = 0

=(y - 2)(y - 54)

The two numbers are 2 and 54.

Multiplication is the process of adding a number up to a given number.

Given that, the sum of the two numbers is 56 and their product is 108.

Let the numbers are x and y then,

x + y = 56    (1)

xy = 108

x = 108/y

Substitute x = 108/y into equation (1):

108/y + y = 56

108 + y² = 56y

y² -56y + 108 = 0

y² -54y -2y + 108 =0

y(y - 54) -2(y - 54) = 0

(y - 2)(y - 54) = 0

y =2 or y = 54

Now, for y = 2 the value of x is 54 and for y = 54 the value of x is 2.

Hence, the two numbers are 2 and 54.

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Answer:

The probability that it will rain in atleast two consecutive days will be 0.167936.

Step-by-step explanation:

Since it rains on 40% of the days, then the probability of it raining on each day is

This follows a binomial distribution

Since it's a five-day tour and they want to know the probability that rain falls in atleast TWO CONSECUTIVE days then we have to consider 2 days as one, as we do in combination problems, so that they are always together before we use in our binomial probability density function.

Our Probability Density Function is given as

[tex]P(X) = \binom{n}{x} p^x \times q^{n-x}[/tex]

Where p is probability of raining and q = 1 - p is probability of not raining.

Our n is 4 since we are considering two days as one.

We are looking the P(X≥2) = 1 – P(X<2) = 1 – [P(X = 0) + P(X = 1).

[tex]P(X = 0) = \binom{4}{0} 0.4^0 \times 0.6^4 = 0.1296[/tex]

[tex]P(X = 1) = \binom{4}{1} 0.4^1 \times 0.6^3 = 4\times 0.4 \times 0.216 = 0.3456[/tex]

Therefore P(X≥2) = 1 – (0.1296 + 0.3456) = 0.5248.

Remember we combined two consecutive days that it will rain as one, their probabilities will be:

2! x 0.4 x 0.4 = 0.32

Therefore, the probability that it will rain in atleast two consecutive days will be

0.32 x 0.5248 = 0.167936

Answer:

uuummm i need this answer too actually

Step-by-step explanation:

Answer:

A.$3.90

Step-by-step explanation:

Answer:

a or 1. $40,000 is the down payment

b or 2. 180 months = 15 years

c or 3. $168,400 is the left over payment (including mortgage)

d or 4. $935.56 (the monthly payment)

Step-by-step explanation:

1. To calculate the down payment, we need to calculate 20% of $200,000.

200,000 x 0.20  = $40,000

Therefore, the down payment on the home costs $40,000.

2. Now, let's figure out how many months are in 15 years.

15 x 12 = 180

So, the mortgage will be paid in 180 months.

3. Next, we need to find out how much money needs to be paid in the 15 years.

200,000 - 40,000 = $160,000

This price will also include an annual interest rate of 5.25%. So, we need to find 5.25% of $160,000.

160,000 x 0.0525 = $8,400 <--- interest rate when rounded to the nearest cent.

160,000 + 8,400 = $168,400 <--- total amount over 15 years

4. To find the monthly payment, we must divide the total amount of money ( or  $168,400), by the number of months, (or 180.)

$168,400 ÷ 180 = $935.56 when rounded to the nearest cent.

Hope this helps! :)

Answer:

C.   The answer can be simplified.

Step-by-step explanation:

5 2/3 x 3/4

(5 x 3) + 2 = 17/3

17/3 x 3/4 = 51/12

51 ÷ 12 = 4 3/12

4 3/12 = 4 1/4

So it is C.

Answer:

Mean: 8 free throws

Standard Deviation: 1.3 free throws

Step-by-step explanation:

This is a binomial random variable, so we can use the formula [tex]ux = np[/tex], where n is the number of trials, and p is the probability. Since we know both of these values, just plug it in for the mean. [tex]ux = .8*10 = 8[/tex]

For the standard deviation, we use the formula σ = [tex]\sqrt{np(1-p)}[/tex]. Since we know what np is, we can replace those 2, giving us [tex]\sqrt{8(1-p)}[/tex]. Again, p is our probability, so this gives us our final equation of [tex]\sqrt{8(1-.8)}[/tex], which simplifies to [tex]\sqrt{8(.2)}[/tex]. Using a calculator, we get 1.264, which is 1.3 rounded to the nearest tenth.

Hope this helped :)

Answer: Mean: 8

Standard Deviation: 1.3

Step-by-step explanation:

Answer:

< is less than        >greater than           < with line is less than or equal to                > with line is greater than or equal to

Step-by-step explanation:

i couldnt see you picture so heres this

Answer:x=22 over 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

10−2(x−7)=4(x−5)

10+(−2)(x)+(−2)(−7)=(4)(x)+(4)(−5)(Distribute)

10+−2x+14=4x+−20

(−2x)+(10+14)=4x−20(Combine Like Terms)

−2x+24=4x−20

−2x+24=4x−20

Step 2: Subtract 4x from both sides.

−2x+24−4x=4x−20−4x

−6x+24=−20

Step 3: Subtract 24 from both sides.

−6x+24−24=−20−24

−6x=−44

Step 4: Divide both sides by -6.

−6x−6=−44−6

x=22 over 3

hope it helps.

Answer:

hey

Step-by-step explanation:

Answer:

$39.02

Step-by-step explanation:

$12.34 *3=37.02

$3.5*2=7

37.02+7=39.02

Answer:

39

Step-by-step explanation:

to find the area of the triangles use the equation

3(5)(.5)=7.5

since we have 4 triangles, multiply that by 4, which equals 30

Now find the area of the square

3(3)=9

Now add the area of the square and the area of the triangles

Answer:

39 km

Step-by-step explanation:

Surface area=area of square +area of triangles

=3*3 + 0.5*3*5*4

=39

(4 triangles)

Answer:

y < 3/8x-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

let the  number  be x

given

1. x-18

2. (x-18)*-6

3.  (x-18)*-6=-36

Required

x

the final expression mathematically is '

(x-18)*-6=-36

open  bracket and solve for x

-6x+108=-36

collect like terms

-6x=-36-108

-6x=-144

divide both sides by -6

x=144/6

x=24

Emani's number is 24

7½ – 4/7 ×7/8

= 15/2 – 1/2

= 7

Answer:

its 7

Step-by-step explanation:

Answer:

Step-by-step explanation:ygvt fvbygtfr5nBHY$nujmk,mjnhbygtf

Answer: divide thats all i know what to do bye

Step-by-step explanation:

divide

Answer:

256/7 = 36 4/7 =36.571

Step-by-step explanation:

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

Answer:

its C. You multiply 4 with the numbers in parentheses and just add the 5

Answer:

E

Step-by-step explanation:

dy/dt = y² − 1

When -1 < y < 1, dy/dt is negative.  So the solution is decreasing between y = -1 and y = 1.

Only one graph is consistently decreasing in that range, and that's the last graph.

9514 1404 393

Answer:

  10.24 m

Step-by-step explanation:

The volume formulas for the figures are ...

You can fill in the given radii and set the volumes equal:

  4/3π(4 m)³ = 1/3π(5 m)²h

  h = (4^4)/(5^2) m . . . . . divide by the coefficient of h

  h = 10.24 m

The height of the cone is 10.24 meters.

Answer:

D

Step-by-step explanation:

just took a random guess

Answer:

The least minimum value is continuous function

The greatest minimum value is quadratic function.

Step-by-step explanation:

The minimum and maximum value of function is different for the different equations. The minimum value is the point below the vertex. The maximum value of the quadratic function is the positive value and it has minimum value as negative.

Answer:

Least

Most

Step-by-step explanation:

Answer:

Slope=1

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where x1,y1= (1, 1) and X2,y2=(-3, -3)

Slop=1+3/1+4

=4/4

=1

So the slope is 1.

Answer:

1

Step-by-step explanation:

Here,

x₁ = 1 and x₂ = (-3)

y₁ = 1 and y₂ = (-3)

Now,

Slope

= y₁ - y₂ ÷ x₁ - x₂

= ( 1 ) - (- 3) ÷ ( 1 ) - (- 3)

= 1 + 3 ÷ 1 + 3

= 4 ÷ 4 = 1

Thus, Slope is 1

-TheUnknownScientist