Each of two urns contains green balls and red balls. Urn 1 contains 10 green balls and 8 red balls. Urn 2 contains 3 green balls and 10 red balls. If a ball is drawn from each urn, what is P(red and red)?

Answers

Answer 1
Answer:

hence,P(urn-1)=8/18,p(urn-2)=10/13

WHAT IS PROBABILITY?

Probability is number of favorable outcomes by total no. of outcomes

How to calculate ?

No. of favorable outcomes / total no. of outcomes.

Given urn-1- 10 green balls and 8 balls .

and urn -2 - 3 green balls and 1- red balls .

ball is taken out from both the baxes

probability of red ball= p(urn1

P(urn-1)=8/18

p(urn-2)=10/13

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Answer 2
Answer: Ans=  18/31

because
if you add up all the probabilities for the reds it adds up to 18
                      

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Please answer the question on the attachment

Answers

Did you notice that this shape looks like a parallelogram stacked on top of a rectangle?  That's because it is!  All you have to do is add the area of the parallelogram to the area of the rectangle, and you've got the total area.  So, the area of a parallelogram is base * height, as you see there.  For the parallelogram on top, the base is 7 cm, and the height is 5 cm.  7 cm * 5 cm = 35 sq cm.  For the rectangle, the base is 11 cm and the height is 5 cm.  11 cm * 5 cm = 55 sq cm.  35 sq cm + 55 sq cm = 90 sq cm.  That's the total area!

Answer: 90 cm^2

(Note: sq stands for square.  When dealing with area, the units are always squared, because cm * cm = cm squared.  You might also see it as cm^2.)

Two column proof: If a kite is inscribed in a circle, then one of the diagonals of a kite is a diameter of the circle.

Detailed explanation please, I want to be able to understand this thoroughly.

Diagram is attached, thanks in advance!

Answers

Answer:

Given : BRDG is a kite that is inscribed in a circle,

With BR = RD and BG = DG

To prove : RG is a diameter

Proof:

Since, RG is the major diagonal of the kite BRDG,

By the property of kite,

∠ RBG = ∠ RDG

Also, BRDG is a cyclic quadrilateral,

Therefore, By the property of cyclic quadrilateral,

∠ RBG + ∠ RDG = 180°

⇒ ∠ RBG + ∠ RBG = 180°

⇒ 2∠ RBG = 180°

⇒ ∠ RBG = 90°

⇒ ∠ RDG = 90°

Since, Angle subtended by a diameter or semicircle on any point of circle is right angle.

RG is the diameter of the circle.

Hence, proved.

Question is in picture

Answers

Answer:

A: The x-intercept is x = -5 and the graph approaches a vertical asymptote at x = -6

Step-by-step explanation:

The diagram shows translated to the left graph of the logarithmic function.

This graph intersects the x-axis at point x = -5, hence the x-intercept is at x = -5.

This graph approaches to the vertical line. The line passes through the point (-6,0), so the equation of this vertical line is x = -6.

Therefore, correct option is A: The x-intercept is x = -5 and the graph approaches a vertical asymptote at x = -6

How do you write the fraction 7/10 as a sum of fractions three different ways

Answers

First three sum1/10 + 2/10 + 4/10Proof: When the numbers in the denominator have the same value, fractions can be compute only with the sum of numerator values and the denominator doesn’t change.1/10 + 2/10 + 4/10 = 1+2+4 / 10 = 7/10Second three sum1/10+1/5 + 2/5,Proof: such kind of fractions can be computed as follows: 1/10 + (1+2 )/5 (same denominators). 1/10 + (1+2 )/5= 1/10 + 3/5= 5x1 +10x3 / 5x10 = 5+30 /50 =35/50, by simplifying by 5, 35/50=7/10The third three sum is5/10+ 3/15+8/20,it can be computed by using the same method as given above

Final answer:

To write the fraction 7/10 as a sum of fractions three different ways, you can use a common denominator, multiples of the denominator, or equivalent fractions.

Explanation:

To write the fraction 7/10 as a sum of fractions three different ways, we can use different denominators. Here are three ways:

  1. Using a common denominator: Multiply the numerator and denominator of 7/10 by 3/3 to get 21/30. Then, express 21/30 as the sum of three fractions with different numerators: 7/30 + 7/30 + 7/30.
  2. Using multiples of the denominator: Express 7/10 as the sum of fractions with denominators that are multiples of 10, such as 20, 30, and 40. So, 7/10 can be written as 14/20 + 21/30 + 28/40.
  3. Using equivalent fractions: Find equivalent fractions of 7/10 with different denominators, such as 14/20, 21/30, and 28/40. Then, express 7/10 as the sum of these equivalent fractions.

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Andre says that 5 3/4 + 2 1/4 = 7 1/2 because 7 4/8 = 7 1/2. Identify his mistake. Draw a picture to prove that he is wrong.

Answers

Answer:

Step-by-step explanation:

The given expression is

5(3)/(4)+2(1)/(4) =7(4)/(8)=7(1)/(2)

We will rewrite the expression

(23)/(4)+(9)/(4) =(60)/(8)=7(1)/(2)

When we add the fraction

(23+9)/(4) = (32)/(4) = 8

While Andre says the answer is 7(1)/(2)

because Andre added the denominator where he has to make a common denominator that should be 4 instead of 8.

Andre made mistake in this step

Picture is given below :

While visiting Crimson Lake, Sally decided to go Kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 a.m. to 2:30 p.m., write and solve a linear equation to find the total cost to rent the kayak.

Answers

Answer:

Equation: y=8.5h+25   Answer: $50.50

Step-by-step explanation:

h= amount of hours

y=total cost

y=8.5h+25

She rented for 3 hours

y=8.5(3)+25

y=25.5+25

y=50.5