(hard.) in a certain psychology experiment, each subject is presented with three ordinary playing cards, face down. the subject takes one of these cards. the subject also takes one card at random from a separate, full deck of playing cards. if the two cards are from the same suit, the subject wins a prize. what is the chance of winning

Answers

Answer 1

The answer to this question would be 1/4
To answer this question you need to know what the same suit means and how many cards in a deck is. In the standard card, there are 52 cards in a deck. The deck also compromised of 4 suit which was clubs (♣), hearts (♥), spades (♠) and diamonds (♦), Each suit has the same number ratio from those 52 cards, which mean 13 cards for each suit.
In this test, the subject takes one of three cards first. There is no information about this card, so we can assume that it is completely random and having one of the 4 available suits. After that, the subject takes a card from the separate full deck.
Then the chance to get the same suit would be 13/52= 1/4 chance

Related Questions

mathematical modeling results in formulas that give exact values of real world phenomena over time

Answers

Mathematical modeling is when you create a mathematical expression to model the behavior you're studying. This is usually formulated after doing research studies. An example would be the Langmuir isotherm model. This model describes an adsorption behavior. It tells you the maximum adsorption capacity of your adsorbent at a specific process condition. Although it may not give you the exact value of the real behavior, it can be an approximation.

A washer and a dryer cost $795 combined. The washer costs $55 less than the dryer. What is the cost of the dryer?

Answers

7 cause the amount you paid and it subtracts the amount of money you have

$740 since you subtract 795 by 55 which is 740

Write words to match the expression 36÷4

Answers

Divide 36 by 4.

OR

Molly has 36 potatoes and 3 other friends. How many potatoes can she divide equally between them and her?

There are 36 people at a party and Jack gives each person equally 4 pieces of cake.

Also 36 ÷4 =9

what are the domain and range of the exponential function below f(x)=4^x+3

Answers

try using desmos.com
domain is all real numbers
range is all real numbers greater than 3

Answer:

Step-by-step explanation: Domain are the set of x -values. Here x values from negative to positive.

Range is the set of y values. The graph clearly shows that the values never dip below 3.

Hence the answer is ;

Domain : All x values

Range: never dips below 3.

what does 3.35 equal to

Answers

The answer is 45.2 by my calculations!!! I hope that helps

3.35 as a fraction is 67/20 but as a mixed number, it's 3 7/20.

Hope this helps.
Have a blessed day.

Matlab the equation of a circle with its center at x=3 and y=2 is given by , where r is the radius of the circle. first derive the equation(symbolically) of the tangent line to the circle at the point on the upper part of the circle ( and ). then for specific values of r, , , make a plot of the circle and the tangent line. (r=9, )

Answers

the equation of a circle with center at (h,k) and radius r is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
we are given
center is at (3,2)
[tex](x-3)^2+(y-2)^2=r^2[/tex]
solving for y
[tex](y-2)^2=-1(x-3)^2+r^2[/tex]
[tex]y-2=\sqrt{-1(x-3)^2+r^2}[/tex]
[tex]y=2+\sqrt{-1(x-3)^2+r^2}[/tex]
take the derivitive to find the slope at any point
[tex]\frac{dy}{dx}=((-1)(x-3)^2+r^2))(-x+3)[/tex]

we can use point slope form
for apoint (h,k) and slope m, the equation is
y-k=m(x-h)
not sure if you want in terms of what
I'll just say for a point (h,k)
so we get
[tex]y-k=((-1)(x-3)^2+r^2))(-x+3)(x-h)[/tex]
where [tex]k=2+\sqrt{-1(h-3)^2+r^2}[/tex]
that's the equation of the tangent line at (h,k) for arbitrary values of r

do the plots and other stuff yourself

Final answer:

To derive the equation of the tangent line to the circle, differentiate the circle equation implicitly and substitute the coordinates of a point on the circle to find the specific equation. For r = 9 and x = 3, the specific equation of the tangent line is y = 9 + 3x. Use software like Matlab or a graphing calculator to plot the circle and the tangent line.

Explanation:

To derive the equation of the tangent line to the circle at the upper part, we need to find the slope of the tangent line and the coordinates of a point on the circle. The slope of a tangent line to a circle at a given point is the negative reciprocal of the slope of the radius from the center to that point. In this case, the center of the circle is (3, 2) and the radius is 9, so the equation of the circle is (x-3)^2 + (y-2)^2 = 9^2. By differentiating this equation implicitly, we can find the slope of the tangent line.

The equation of the circle is (x-3)^2 + (y-2)^2 = 81.

Differentiating implicitly with respect to x:
2(x-3) + 2(y-2) dy/dx = 0
Simplifying:
(x-3) + (y-2) dy/dx = 0
(y-2) dy/dx = 3-x
dy/dx = (3-x) / (y-2)

To find the slope of the tangent line at the upper part of the circle, we substitute y = 2 + sqrt(81 - (x-3)^2) into the derived equation of dy/dx. After simplifying, we can substitute the coordinates of a point on the circle to find the specific equation of the tangent line.

For r = 9 and x = 3, the specific equation of the tangent line is y = 9 + 3x.

To make a plot of the circle and the tangent line, we graph both the circle equation and the tangent line equation using a software like Matlab or a graphing calculator.

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Saeed bought 21 1/2 lb. of ground beef. he used 1/4 of the beef to make tacos and the remaining 2/3 of the remainder to make quarter pound burgers. how many burgers did he make?

Answers

Final answer:

Saeed made 42 2/3 burgers.

Explanation:

To solve this problem, we need to find out how much ground beef Saeed used to make tacos and how much he used to make quarter-pound burgers. Let's break it down step-by-step:

1. Saeed bought 21 1/2 lb of ground beef.

2. He used 1/4 of the beef to make tacos. So, 1/4 of 21 1/2 lb is (1/4) * 21 1/2 lb = 5 3/8 lb.

3. The remaining beef is 21 1/2 lb - 5 3/8 lb = 16 1/8 lb.

4. Saeed used 2/3 of the remaining beef to make quarter-pound burgers. So, 2/3 of 16 1/8 lb is (2/3) * 16 1/8 lb = 32/3 lb = 10 2/3 lb.

5. To find the number of quarter-pound burgers, we divide the weight of the beef used for burgers by the weight of each burger. Since each burger weighs 1/4 lb, we divide 10 2/3 lb by 1/4 lb to get:

10 2/3 lb ÷ 1/4 lb = 10 2/3 lb * 4 lb/1 = 42 2/3 burgers.

Therefore, Saeed made 42 2/3 burgers.

Final answer:

Saeed used 1/4 of the ground beef for tacos and the remaining 2/3 for quarter pound burgers. After calculating, we determined that he was able to make 43 quarter pound burgers.

Explanation:

To solve Saeed's ground beef problem, we need to perform sequenced calculations to determine how much beef was used for tacos, and how many quarter pound burgers were made with the remaining beef.

First, Saeed used 1/4 of the 21 1/2 lb of beef for tacos. To find out how much that is, multiply 21.5 lb by 1/4:

21.5 lb × 1/4 = 5.375 lb for tacos

Next, we subtract this amount from the original to find the remainder:

21.5 lb - 5.375 lb = 16.125 lb remaining

Now, Saeed uses 2/3 of the remaining beef for burgers. So, we calculate:

16.125 lb × 2/3 = 10.75 lb for burgers

Since each burger is a quarter pound, we divide the weight used for burgers by 1/4 to find out how many burgers he made:

10.75 lb ÷ 1/4 lb per burger = 43 burgers

Therefore, Saeed made 43 quarter pound burgers.

When dividing 592 by 9.25, how many zeros will be placed in the dividend?

Answers

No doubt, the expeced answer is 2. This is because you would ordinarily change the problem to 59200/925 for long division by hand.

For this quotient, you don't need any, because the quotient is 64, a multiple of 4, so the numbers being subtracted are always integers.

_____

If you were dividing 591 by 9.25, you would need an infinite number of zeros—because the decimal portion of the quotient is a repeating decimal with a period of 3 digits.

Answer:

it is b 100 on quiz

Step-by-step explanation:

When a polygon reflects across the y axis ,how do the coordinates of the points change

Answers

The y coordinate will stay the same. The x coordinate will flip from positive to negative, or vice versa.

Some examples:
(1,2) ----> (-1,2)
(-3,4) ----> (3,4)
(-1.2, 8) ----> (1.2, 8)

The general rule is
(x,y) ----> (-x, y)
indicating that only the x coordinate undergoes a change

Lydia makes 10 pancakes she tops each pancake with for blueberries how many blueberries does Lydia use in all use the break apart and distribute strategy and draw a number bond to solve

Answers

she uses forty blueberries

Harry estimates that the dinner will have 48 g of fat. if the recommended daily allowances is 70 g What percentage of her total daily allowance of fat will the dinner be

Answers

divide 48 by 70

48 / 70 = 0.6857 = 68.6%

when 15 minus 3 is multiplied by a number the product is 2.

Answers

Final answer:

Based on the provided information, you can find the value of the unknown by performing the operation (15-3), which is 12, and then dividing the product by this number. The result is 1/6, which is the number that fulfills the conditions stated in the problem.

Explanation:

The subject of this problem is middle school math, specifically dealing with equations and unknowns. The problem states that 'when 15 minus 3 is multiplied by a number the product is 2'. To solve this, we use basic algebraic manipulation.

First, perform the operation 15 minus 3, which equals 12. Then, we state the problem algebraically: 12 times a certain number (let's call it 'x') equals 2. Stated as an equation, it would be 12x = 2.

To find the value of 'x', we need to isolate 'x' on one side of the equation, so we divide both sides of the equation by 12. This leaves us with x = 2/12. Simplifying the fraction gives x = 1/6.

In conclusion, the number that when multiplied by 12 (resulting from 15 minus 3), gives us a product of 2 is 1/6.

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Jared has a novel to read for Language Arts class. The novel has a total of 650 pages that he must read in 10 days. He estimates that he can read 25 pages in 1 hour. He plans to read for 3 hours each day. Which number below represents the coefficient of the term that represents the number of pages he can read in one day.

Answers

If he is reading 25 pages in 1 hour and he reads for 3 hours a day all you need to do is multiple
25 x 3 = 75

find the missing coefficients

y=ax^2-10x+c
vertex :(-5,20)

Answers

remember, for [tex]y=ax^2+bx+c[/tex] the x value of the vertex is [tex]\frac{-b}{2a}[/tex]

so
given
x value of vertex is -5
and
[tex]y=ax^2-10x+c[/tex]
[tex]\frac{-b}{2a}=\frac{-(-10)}{2a}=\frac{10}{2a}=[/tex]
[tex]\frac{5}{a}=-5[/tex]
multiply both sides by a
5=-5a
divvide both sides by -5
-1=a
a=-1

[tex]y=-1x^2-10x+c[/tex]
comlete the square
remember if we do
[tex]y=a(x-h)^2+k[/tex] (h,k) is the vertex
I know, we can subsitute the known values of te vertex
-5 for h and 20 for k then expand

[tex]y=-1(x-(-5))^2+20[/tex]
[tex]y=-1(x+5)^2+20[/tex]
[tex]y=-1(x^2+10x+25)+20[/tex]
[tex]y=-1x^2-10x-25+20[/tex]
[tex]y=-1x^2-10x-5[/tex]

a=-1
c=-5

If a1=2, b2=3, and c3=10, the resulting value of =a1-b2+c3/10 is ____. 4 1 0 11/10

Answers

A1=2 b2=3 c3=10
2-3+10÷10
2-3+1
-1+1=0

Find the dimensions of a rectangle with a perimeter of 148 feet that has the maximum area

Answers

Final answer:

The dimensions of the rectangle with a perimeter of 148 feet that has the maximum area would be 37 feet by 37 feet, forming a square. The maximum area of the rectangle is 1369 square feet.

Explanation:

To find the dimensions of a rectangle with a known perimeter and the maximum area, first understand that the rectangle with the maximum area is a square. In this case, the perimeter is 148 feet.

To calculate the side length of the square, divide the perimeter by 4. Thus, the side of the square would be 148 feet / 4 = 37 feet. Therefore, the maximum area will be achieved when each side of the rectangle is 37 feet long, making it a square with these dimensions.

The maximum area of such a rectangle, which in this case is a square, is obtained by squaring the side length: Area = side × side = 37 feet × 37 feet = 1369 square feet.

Find f'(a) f(t)=2t+1/t+3

Answers

I'm going to rewrite f(t) to make it a little easier to use the power rule:
[tex]f(t)=2t+t^{-1}+3[/tex]

Now just take the derivative using the power rule:
[tex]f'(t)=2-t^{-2}[/tex]

Since they ask for f'(a), we need to replace the t's with a's:
[tex]f'(a)=2-a^{-2}[/tex]

Which of the following expressions represents the total earnings of a commissioned employee earning 9.5% commission with sales of $8,540?

Answers

$145. Hope my answer helped you out bro.

Factor:
7s(x−2y)+2t(x−2y)+2(x−2y)=

Answers

=7sx−14sy+2tx−4ty+2x−4y

(X-2y)(7s+2t+2)

Hope this helps.

In this problem, y = 1/(1 + c1e−x) is a one-parameter family of solutions of the first-order de y' = y − y2. find a solution of the first-order ivp consisting of this differential equation and the given initial condition. y(0) = − 1 8

Answers

The solution can be determined if we can specify the value of the arbitrary constant C₁. We do this by using the initial condition. When x=0, y is equal to -18. Substitute this to the general solution.

y = 1/(1 + C₁e⁻ˣ)
-18 = 1/(1 + C₁e⁰)
-18 = 1/(1+C₁)
C₁ = -1- 1/18 = -19/18

Therefore, the specific solution is:
y = 1/(1 - 19e⁻ˣ/18)

the sum of two numbers is 101. if there times the smaller number is subtracted from the larger number the result is 9. find the two numbers

Answers

x+y=101
y-3x=9

Solve the second equationf or y
y=3x+9

Substitute for y
x+3x+9=101
4x+9=101
4x=92
x=23

Fill in the x value
23+y=101
y=78

Final answer: 23, 78

a diver is swimming 11 meters below the surface. The diver sees a shark 19 meters below him. how many meters from the surface is the shark?

Answers

The shark is 30 meters below surface.
plz give me brainliest answer

u just need to add the two values together
11+29=30 meters

If you stand on a ship in a calm sea, then your height x (in feet) above sea level is related to the farthest distance y (in miles) that you can see by the equation: y=sqrt (1.5x+(x/5280)^2) how high up do you have to be to be able to see 10mi?

Answers

We are given the relation between the height (in feet) and the distance (in miles) as follows:
y = sqrt(1.5x + (x/5280)^2).

We want to know the height (x) that makes the distance (y) = 10 miles

So, we will simply substitute in the above equation with y = 10 and calculate x as follows:
10 = sqrt(1.5x + (x/5280)^2)
we will square both sides to get rid of the root:
100 = 1.5x + (x/5280)^2
1.5x + (x/5280)^2 - 100 = 0
(x-66.11475)(x+7986.1147) = zero
either x = 66.11475 feet (accepted solution)
or x = -7986.1147 feet (rejected solution as no height is in negative)

Final answer:

To see 10 miles into the distance, one must be approximately 593.4 feet above sea level. This is calculated by substituting y = 10 into the given formula and solving for x.

Explanation:

The student's question involves finding how high above sea level they must be to see a distance of 10 miles. We begin with the equation given:

y = sqrt(1.5x + (x/5280)^2)

We need to solve this equation for x when y is 10 miles. First, we substitute 10 for y and square both sides of the equation to eliminate the square root:

10^2 = 1.5x + (x/5280)^2100 = 1.5x + x^2/(5280^2)

Multiply through by 5280^2 to simplify:

100(5280^2) = 1.5x(5280^2) + x^2100(5280^2) = 7920x^2 + x^2100(5280^2) = 7921x^2

Now, we solve for x:

x^2 = 100(5280^2) / 7921x = sqrt(100(5280^2) / 7921)x ≈ sqrt(2787840000 / 7921)x ≈ sqrt(352000)x ≈ 593.4 feet

Therefore, a person needs to be approximately 593.4 feet above sea level to see 10 miles into the distance.

if h(x)=(fog)(x) and h(x) = x+5, find g(x) if f(x) = x+2

Answers

[tex]\bf \begin{cases} f(x)=x+2\\ h(x)=x+5\\ h(x)=(f\circ g)(x) \end{cases}\quad (f\circ g)(x)\implies \stackrel{h(x)}{f(~g(x)~)} \\\\\\ \stackrel{h(x)}{f(~~g(x)~~)}=g(x)+2=\stackrel{h(x)}{x+5}\implies g(x)+2=x+5 \\\\\\ g(x)=x+5-2\implies \boxed{g(x)=x+3}[/tex]

Is 0.5 greater than or less than 6/10

Answers

6/10 is equal to 0.6 and 0.6 is greater than 0.5

0.5 has a 5 in the tenths place, which means it's the same as [tex]\frac{5}{10}[/tex]. Which is bigger, [tex]\frac{5}{10}[/tex] or [tex]\frac{6}{10}[/tex]?

Shelia mixed 3 ounces of blue paint with 2 ounces of yellow paint. She decided to create 20 ounces of the same mixture. How many ounces of yellow paint does Sheila need for the new mixture?

Please explain!!

Answers

Yellow:blue is a ratio of 2:3, meaning that 2/5 of the desired mixture is yellow. From this, you need to find how much yellow is necessary for 20 ounces. Well, 2/5 of the 20 ounces will be yellow paint, while the other 3/5 will be blue. So she will need 8 ounces of yellow paint to get 20 ounces of the desired mixture. Hope this helps! :)

3 ounces of blue paint added with 2 ounces of yellow you would get 5 onces

Then you divide 20 by 5 you get 4
Then multiply 4 by 2 ounces you get 8

Sheila will need 8 ounces of of yellow paint for the new mixture.

jada gets 2 new packs of earses.each pack has 6 earsers in it. draw an array to show how many erasers Jada has together

Answers

jada has 12 erasers all together

Need help with math problem
The temperature of a lake drops by the same amount each day for 10 days. The temperature drops by a total of 5 degrees.

Drag the numbers to form the equation that represents the change in the lake's temperature each day.

( ? ) ( ? ) = ( ? )

5, -5, 10, -10, 1/2, -1/2, 1/10, -1/10
Thanks

HINT: THE ANSWER IS NOT (10), (-1/2)= (-5)

Answers

10 (1/2) = 5

hope this helps

The temperature drops by 1/2 of a degree each day. It would be 5/10=1/2

What is the factorization of 49b2 − 81

Answers

Hello!

First, let's write the problem.
[tex]49b^2-81[/tex]
To solve this, it implies finding the square root of 49 and 81.
[tex]7*7=49[/tex]
[tex]9*9=81[/tex]
So, we then write it like this.
[tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
Let's plug in the values.
[tex]=\left(7b+9\right)\left(7b-9\right)[/tex]
That would be our answer.

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

on the quiz, i got

B. (7b – 9)(7b +9)

I just finished the edge quiz for my algebra class.

I got a 100, so this is the correct answer.

Solve ( x + 4 ) / 2 = ( x - 3 ) / 3

Answers

simplify x - 3/3 to -1 + x/3

regroup terms

multiply both sides by 6 (The LCM of 2,3)

expand

subtract 2x from both sides

simplify 3x + 12 - 2x to x + 12

subtract 12 from both sides

simplify -6 - 12 to -18

Answer: x = -18.

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