these marbles are placed in a bag and two of them are randomly drawn. yellow=2 pink=3 blue=5 what is the probability of drawing 2 yellow marbles if the first one is not placed back into the bag before the second one. Give your answer as a rational number, reduced to simplest terms.

Answer:

The answer is 6.

Step-by-step explanation:

6 ÷ 3 = 2

2+4 = 6

Answer:

7,091.61

Step-by-step explanation:

If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.

Ex. 39393939/ 5555 = 7,091.61

So each bunny will get 7,091.61 carrots.

Answer:

fourth option

Step-by-step explanation:

Given

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

To find the x- intercepts let f(x) = 0, that is

(x + 1)(x + 4)(x - 7) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

x - 7 = 0 ⇒ x = 7

x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )

Answer:

[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]    

Critical value

The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

[tex]p_v =P(z>3.333)=0.000434[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Step-by-step explanation:

Information given

[tex]\bar X=11.5[/tex] represent the sample mean

[tex]\sigma=4.5[/tex] represent the population standard deviation

[tex]n=100[/tex] sample size  

[tex]\mu_o =10[/tex] represent the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level for the hypothesis test.  

t would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean is higher than 10mg, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 10[/tex]  

Alternative hypothesis:[tex]\mu > 10[/tex]  

the statistic for this case would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing we got:

[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]    

Critical value

The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

[tex]p_v =P(z>3.333)=0.000434[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Answer:

15%

Step-by-step explanation:

Price of daily tickets entrance

Adult=£55

Children=£45

Family (2 adults and 2children)=£170(discount price)

Let

price for adults=a

Price for Children=c

Price of tickets without discount for 2 adults and 2 children=2(a+c)

=2(55+45)

=2(100)

=£200

Percentage discount offered with the family tickets=difference in price/original price×100

=£200-£170/200×100

=30/200×100

=30/2

=15%

The Percentage discount offered with the family tickets=15%

Answer:

you go to th harris right cause u literally have the same summer schools answers

Step-by-step explanation:

Answer: Option A

Step-by-step explanation:

the answer is A. 1,073 ft

Answer:

try to look in desmos graphic calculator

Step-by-step explanation:

Answer:

Here we want to find the relative frequencies for both products.

for product A we have a sample of 100 people (our 100%) and all but 33 of them experienced relief.

Then, we can find the relative frequency as:

Pa = (33/100)*100% = 33%

this means that product A is not efficient in 33% of the cases.

For product B, the sample is 50 people (our 100%) and all but 12 of them experienced relief, then the relative frequency is:

Pb = (12/50)*100% = 24%.

This means that product B is not efficient in 24% of the cases.

We can see that, in percentage, the product B seems to be more efficient.

Answer:

1st one 18

Step-by-step explanation:

you distribute the 1/3 then at 3 then multiply by 3

When I say multiply by 3 I mean 1/3=6 multiply both sides by 3

Answer:

Its A or 18

Step-by-step explanation:

thanks to the other guy

Answer:

c= 60

Step-by-step explanation:

The value of measure of angle C of a triangle ABC is 60°.

Here,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

We have to find the angle C of a triangle ABC.

What is sum of angle in triangle?

In a triangle, The sum of angles of a triangle is 180°.

Now,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

Let measure of angle C is x°.

⇒ Sum of all angle of triangle = 180°

⇒( 60°+α )+ ( 60°−α ) + x° = 180°

⇒ 120° + x° = 180°

⇒ x° = 180° - 120°

⇒ x° = 60°

Hence, The value of measure of angle C of a triangle ABC is 60°.

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Answer:

Volume of wheat = 147.26 m³ (check the explanation)

Step-by-step explanation:

The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).

Let's list out the parameters to be used:

diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,

height (h) = 15 m

Volume of silo = πr²h = π * 2.5² * 15

V (silo) = 294.52 m³

The silo is half full ⇒ ½ * V

Volume of wheat stored is given by half of the silo volume, since the silo is half-full

V (wheat) = ½ * 298.52

V (wheat) = 147.26 m³

Answer:

27

Step-by-step explanation:

If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:

x + x + 8 + x - 9 = 56

3x - 1 = 56

3x = 57

x = 19

The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.

Answer:

It is - [tex]\frac{1}{4}[/tex] throughout the line

Step-by-step explanation:

The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)

m = [tex]\frac{0-3}{0+12}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]

Thus the slope is - [tex]\frac{1}{4}[/tex] throughout the line.

Answer:

[tex]numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}[/tex]

Step-by-step explanation:

Hello, I can help you with this

Step 1

define

The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M

if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person

Step 2

using a rule of three find the 100%

if

12% ⇔ $9000

then

100% ⇔x

the ratio is

[tex]\frac{12}{9000}=\frac{100}{x}\\[/tex]

Now, solve for x

[tex]\frac{12}{9000}=\frac{100}{x}\\\\\frac{12*x}{9000}=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=\frac{900000}{12}\\ x=75000\\[/tex]

so, Sandra must sell a minimun of $75000

Now, to give a response, we need to asume a only price for every car(p).

now, in matemathical terms.

the minimun number of cars she must to sell is

minum number of cars sandra has to sell to become a STAR sales person

is [tex]\frac{75000}{price\ of\ the\ car} \\[/tex]

[tex]\frac{75000}{price\ of\ the\ car} \\[/tex]

now, price of the car* number of the car = 75000

where

[tex]numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}[/tex]

Have a nice day

Answer:

Coordinates of point B are (3, 5) and (5, 3).

Step-by-step explanation:

Coordinates of point A → (1, 1)

Let the coordinates of point B are (x', y')

Formula for the distance between points (x, y) and (x', y') is,

d = [tex]\sqrt{(x-x')^+(y-y')^2}[/tex]

AB = [tex]\sqrt{(x-1)^+(y-1)^2}[/tex]

[tex]2\sqrt{5}=\sqrt{(x-1)^2+(y-1)^2}[/tex]

[tex](2\sqrt{5})^2=(x-1)^2+(y-1)^2[/tex]

20 = (x - 1)² + (y - 1)²

Since point A lies on the intersection of two grid lines in the 1st quadrant, x and y must be the positive whole number.

For x = 0,

20 = (0 - 1)² + (y - 1)²

(y - 1)² = 20 - 1

y = 1 + √19

But y can't be a decimal, therefore, x = 0 is not the answer.

For x = 1

20 = (1 - 1)² + (y - 1)²

20 - 1 = (y - 1)²

y = 1 + √19

Not a whole number, so can't be the solution.

For x = 2,

20 = (2 - 1)² + (y - 1)²

y = 1 + √19

Not a whole number, therefore, not the answer.

For x = 3,

20 = (3 - 1)² + (y - 1)²

20 - 4 = (y - 1)²

y = 1 + √16

y = 5

Therefore, (3, 5) are coordinates of the point B.

For x = 4,

20 = (4 - 1)² + (y - 1)²

20 = 9 + (y - 1)²

y = 1 + √11

For x = 5,

20 = (5 - 1)² + (y - 1)²

20 - 16 = (y - 1)²

4 = (y - 1)²

y = 3

Therefore, (5, 3) the coordinates of point B.

The coordinates of [tex]B, (x,y)=(3,5)\text{ or }(5,3)[/tex]

From the diagram, the coordinates of [tex]A[/tex] are [tex](1,1)[/tex]

the distance from [tex]A[/tex] to [tex]B[/tex] is [tex]2\sqrt{5}[/tex]

Since [tex]B(x, y)[/tex] also lies on the grid, [tex]x[/tex] and [tex]y[/tex] should be integers and should satisfy the distance relationship

[tex](x-1)^2+(y-1)^2=(2\sqrt{5})^2\implies (x-1)^2+(y-1)^2=20[/tex]

There is a way to get [tex]\sqrt{5}[/tex] from Pythagoras rule

[tex]1^2+2^2=(\sqrt{5})^2\\\\\implies2^2+4^2=(2\sqrt{5})^2[/tex]

Which means we can either say

[tex]x-1=2 \text{ and } y-1=4\\\implies x=3 \text{ and } y=5\\\\\text{OR}\\\\x-1=4 \text{ and } y-1=2\\\implies x=5 \text{ and } y=3[/tex]

Therefore B is either at location [tex](3,5)[/tex] or [tex](5,3)[/tex]

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Answer: 15 weeks

Step-by-step explanation:

Because there are 7 days in a week, simply divide 105/7 to get 15 weeks.

Hope it helps <3

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------------

Answer: There are 15 weeks in 105 days.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since there are 7 days in a week, we need to divide the time value by 7 .

Like this:

105 / 7 = 15.

Answer:

62.8318531

10 x 2 = 20 so 20 is the diameter

20 x pi = 62.8318531

Hope this helps

Step-by-step explanation:

The exact circumference of a circle that has a radius of 10 cm is 62.8318531

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Given that circle that has a radius of 10 cm

The circumference is given by

C = 2πr

  = 2π10

   = 20π

10 x 2 = 20

Therefore, 20 is the diameter

So, 20 x π = 62.8318531

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The rule is n + 5

So we have that

an = n + 5

Where n is the term, that said we want the 1st, 2nd, 3rd, 4th and 10th term

a1 = 1 + 5 = 6

a2 = 2 + 5 = 7

a3 = 3 + 5 = 8

a4 = 4 + 5 = 9

a10 = 10 + 5 = 15

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation: yay :D

Answer: 180,000,000 people

Step-by-step explanation:

We are looking for how many people there are, not the percentage of wealth.

60% of Americans are the poorest, and there are 300 million Americans in total.

60% = 0.6

300,000,000 * 0.6 = 180,000,000

Answer:

The Third Choice; answer C.

Step-by-step explanation:

180,000,000 Hope this helps <3

Answer:

c.

Step-by-step explanation:

c is the correct answer 1,4

Answer:

graph C

Step-by-step explanation:

so the equation given is [tex]f(x)=-(x+1)(x-3)[/tex]

the negative in front of the (x+1)(x-3) indicates that the parabola will reflect over the x-axis and will open downward.  This eliminates graphs A and B

the (x+1)(x-3) part tells you the zeros of thr function(x-intercepts)

All you have to do is set (x+1) equal to zero and (x-3) equal to zero as shown:

x+1=0 -- subtract 1 from both sides to get -- x=-1

x-3=0 -- add 3 to both sides to get -- x=3

Therefore, -1 and 3 are your zeros or x-intercepts for the function.  

Now, look at graphs C and D to see which of the two graphs passes through (-1,0) and (3,0), of course at the x-axis

The only graph that works is graph C so graph C is your answer

Answer:

(-√2 + 3)/7

Step-by-step explanation:

To rationalize the denominator, we need to multiply by the conjugate:

1/(3 + √2)*(3 - √2)/(3 - √2)

(3 - √2)/(9 - √4)

(3 - √2)/(9 - 2)

(-√2 + 3)/7

Answer:

Step-by-step explanation:

y=12x−2. parallel lines have the same slope 12

find b at point (3,-2)

y=12x+b

-2=12(3)+b

-2-36=b

b=-36

the equation has to be y=12x-38

when you input the point(3,-2)

-2=12(3)-38

-2=-2 correct

The equation of line is [tex]y=12x-38[/tex] which is parallel to given line [tex]y=12x-2[/tex]

Equation of parallel line given is, [tex]y=12x-2[/tex]

Compare above equation of line from [tex]y=mx+c[/tex]

Since, all parallel lines have same slope.

 Equation of line become,

                                             [tex]y=12x+c[/tex]

Since, line passing through point (3, -2).

               [tex]-2=12(3)+c\\\\c=-2-36=-38[/tex]

Hence, equation of line is [tex]y=12x-38[/tex] which is parallel to line [tex]y=12x-2[/tex]

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Answer:

24.5

Step-by-step explanation:

Year 2000 would be 1, so year 2016 would be 17

Your equation is 1.5x - 1, and since we have x = 17, we simply plug it in:

1.5(17) - 1

25.5 - 1

24.5 is our estimated population using the line of best fit.

Answer:

23

Step-by-step explanation:

Note that the horizontal axis notes the years since 2000. This means that each increase in the x axis increases the year by 1. Thus, it means that at x=1, it is 2001, at x=2, it is 2002. In other words, in 2016, x=16.

We can just put this number into the equation:

y=1.5(16)-1

y=24-1

y=23

Answer: I hope this helps!!!

Step-by-step explanation:

Phrase 1: 18j+10

Phrase 2: 2(9j+5)

Answer:

see explanation

Step-by-step explanation:

Given

2(3j + 5 + 6j) ← distribute the parenthesis by 2

= 6j + 10 + 12j ← equivalent expression ( collect like terms )

= 10 + 18j ← equivalent expression ( factor out 2 from each term

= 2(5 + 9j) ← equivalent expression

Answer:

He has 14 peaches

Step-by-step explanation:

He wants to give away 4 peaches to 4 friends

4*4 = 16

But he is 2 short

16-2 = 14

He has 14 peaches

Answer:

BC and AC are the answers

Answer:

1/3

Step-by-step explanation:

There are 12 different sums.

4 of the sums are 9, 9, 10, 11.

All other sums are 8 or less.

p(9 or more) = 4/12 = 1/3