Dhani has 4 cards numbered 1 through 4. He removes 2 cards at random and adds their values.

What is the probability that the sum is less than or equal to 5?
7/12
2/3
3/5
3/4

Answers

Answer 1

Answer:

[tex]2/3[/tex]

Step-by-step explanation:

The total number of sums (not distinct) is [tex]4\cdot 3=12[/tex], because we're removing without replacement.

Count the sums that fit the stipulation (sum [tex]\leq[/tex] 5):

[tex]1,2,\\2,1\\1,3\\3,1\\1, 4\\4, 1\\2, 3, \\3,2[/tex]

There are 8 sums that work. Therefore, the desired answer is [tex]\frac{8}{12}=\boxed{\frac{2}{3}}[/tex]


Related Questions

whats the formula for volume

Answers

Answer:

Volume for cube: L x W x H

L= Length, W= width, H=height

There are various volumes in mathematics so which one are u talking about specifically?

Trig how do you do I do not know

Answers

9514 1404 393

Answer:

  a) 2π radians

  b) 10π inches

  c) 5/4π inches per minute

Step-by-step explanation:

The formulas are fairly straightforward. Use the given values in each.

a) θ = ωt

  θ = (π/4 radians/min)(8 min) = 2π radians

__

b) s = rθ

  s = (5 in)(2π radians) = 10π in

__

c) v = s/t

  v = (10π in)/(8 min) = 5/4π in/min

Select all that apply.

A spinner is divided into 4 equal sections. Which of the following are true?

The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!

Answers

the theoretical probability is 25% for each section

Answer:

(B)  If the spinner is spun 64 times, you would predict it to land on each section 16 times.

&

(D) The theoretical probability is 25% for each section.

I got this question right

What is the slope of the line represented by the equation y =4/5x-3?
A. -3
B. - 4/5
C. 4/5
D. 3

Answers

Answer:

4/5

Step-by-step explanation:

y =4/5x-3

The equation is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 4/5

Answer:

4/5

Step-by-step explanation:

The slope will be in front of the x in slope intercept form.

Can someone please help me with question 13,14, and 15?

Answers

13)

from F to J it's 6 steps in x-direction and 3 steps in y-direction (up)

3/6 = 0.5

from J to H it's -2 steps in x-direction (to the left) and -4 steps in y-direction (down)

-4/-2 = 2

from G to H it's 6 steps in x-direction and 7 steps in y-direction (up)

7/6 = 1.1666666

14)

FG and JH are parallel

FJ and GH are parallel as well

meaning same slope

the other combinations are perpendicular (see screenshot)

15)

my brain needs rest. but just a hint: solve via pythagorean theorem, find the distance in x direction, and in y direction, then use a²=b²=c²

hope it gives you something

Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.

Answers

Answer:

The answer e i think

Step-by-step explanation:

Find st to the nearest tenth please helppppp

Answers

The answer of s is 79'

Good luck :)))

(-3, 5) is located in ____

a. Quadrant |||

b. Quadrant |

c. Quadrant |V

d. Quadrant ||

Answers

Answer:

D

Step-by-step explanation:

This is considered quadrant II

If the triangles are similar which are true

Answers

Answer:

b

Step-by-step explanation:

a train moving at the rate of 50 km per hour in struck by a stone moving with a velocity of 40 km above are making an angle of 60 degree with the direction of the train find the velocity with which the stone appears to an observed in the train to strike
the train​

Answers

Answer:

Step-by-step explanation:

the pidgeon is flying east

PLS HELP!
Two vertical angles measure (5x + 15)° and (3x + 27)°. Draw a diagram that illustrates the vertical angles. Solve for each angle.

Answers

Answers:

x = 6

Each angle is 45 degrees

The diagram is shown below

=========================================================

Explanation:

Vertical angles are always congruent

Set the two expressions equal to each other and solve for x.

5x+15 = 3x+27

5x-3x = 27-15

2x = 12

x = 12/2

x = 6

As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides

5x+15 = 3x+27

5*6+15 = 3*6+27

30+15 = 18+27

45 = 45

Each angle is 45 degrees, so the answer is confirmed.

---------

The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.

In short: draw an X shape and mark any two opposite angles to form the vertical angles.

What type of solutions does the quadratic equation, 8v2 + 8 = -11v, have?

Answers

Answer:

Complex roots

Step-by-step explanation:

Given

[tex]8v^2 + 8 = -11v[/tex]

Required

The type of solution

Rewrite as:

[tex]8v^2 +11v+ 8 = 0[/tex]

To determine the type of solution, we simply calculate the discriminant (D)

[tex]D = b^2 - 4ac[/tex]

Where

[tex]a = 8;\ \ \ b =11\ \ \ c = 8[/tex]

So, we have:

[tex]D = 11^2 - 4 * 8 * 8[/tex]

[tex]D = 121 - 256[/tex]

[tex]D = -135[/tex]

The above value implies that:

[tex]D<0[/tex]

When [tex]D<0[/tex], the solution of the equation is: complex roots

a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east

Answers

Answer:

26.6degrees

Step-by-step explanation:

Given

percent grade through north = 10% (opposite)

percent grade through east = 20% (adjacent)

Get the direction

Using the SOH CAH TOA identity

tan theta = opp/adj

tan theta = 10/20

tan theta = 0.5

theta = arctan (0.5)

theta = 26.6degrees

Hence the required angle is 26.6degrees

Nevaeh is going to drive from her house to City A without stopping. Let DD represent Nevaeh's distance from City A tt hours after leaving her house. The table below has select values showing the linear relationship between tt and D.D. Determine the distance from Nevaeh's house to City A, in miles.
t d
1 195
2 130
2.5 97.5

Answers

Answer:

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

What’s the ratio of 20 to 6

Answers

Answer:

333..%

Step-by-step explanation:

333.333333333333%
hope this helps

Find the angle of depression
from point A to point C.
?
66°
5 mi
B
Angle of depression = [ ? ]

Answers

Given:

In triangle ABC, [tex]m\angle A=66^\circ, AB=5\text{ mi}[/tex].

To find:

The angle of depression from point A to point C.

Solution:

According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.

In triangle ABC,

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

[tex]66^\circ+90^\circ+m\angle C=180^\circ[/tex]

[tex]156^\circ+m\angle C=180^\circ[/tex]

[tex]m\angle C=180^\circ-156^\circ[/tex]

[tex]m\angle C=24^\circ[/tex]

We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.

Therefore, the angle of depression is 24 degrees.

Can y’all help me on question 20?!

Answers

Answer:

yes I can help you but ???

A. 39 1/2 Meters INCORRECT!

B. 70 Meters CORRECT!

C. 39 Meters INCORRECT!

HELP THIS IS FOR MY FINAL GRADE

Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?

Answers

Answer:

Ida makes $ 6960 in 5 weeks.

Step-by-step explanation:

Let the profit of the first week is p.

p = $ 600

Total profits of the five weeks

= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)

= 11 p + 0.6 p

= 11 x 600 + 0.6 x 600

= 6600 + 360

= $ 6960

So, Ida makes $ 6960 in 5 weeks.

On a Ford assembly line, each worker
A.) moved from station to station.
B.) was responsible for several different tasks.
C.) performed the same task over and over.
D.) built at least one car each day.

Answers

C?
I’m not sure but I think so

Answer:

d

Step-by-step explanation:

Write the ones digit of the squares of the following numbers. (a) 21287​

Answers

7

___________________

play help me on this​

Answers

Answer:

8n+10

Step-by-step explanation:

gimmi brainiest answer or me no give cookie

your answer would be 8n+10 because you have to combine like terms. you would do 3n+3n+n+n which gives you the 8n and then you would do -5+-5+10+10 which gives you the 10 and when you put it all together, you get 8n+10.

ANSWER: 8n+10

A tower is known to be 60 meters high. A man using a theodolite stands some distance away from the tower and measures its angle of elevation as 38°. How far away from the tower is he if the theodolite stands 1.5 meters above the ground​

Answers

Dnbdbdbd sbsbdbdbdhdjdbdbdbdhdhd

Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.

Answers

Answer:

90

Step-by-step explanation:

18 out of 30 watched tv

150/30 = 5

18/30 = (18 * 5)/(30 * 5) = 90/150

Answer: 90

In 1993, the moose population in a park was measured to be 4100. By 1998, the population was measured again to be 3000. If the population continues to change linearly

Answers

there seems to be missing text

is this an example of direct variation? f(x)=2xy

Answers

Answer:

Yes, it is:

Step-by-step explanation:

Given

[tex]f(x) =2xy[/tex]

Required

Determine if it is a direct variation

A direct variation is represented as:

[tex]f(x)\ \alpha\ x[/tex]

Express as equation

[tex]f(x) = kx[/tex]

Compare [tex]f(x) = kx[/tex] to [tex]f(x) =2xy[/tex]

[tex]k = 2y[/tex]

Hence, it is a direct variation

Solve the following system of equations with the substitution method.
{x+y=25
y=4x
(x,y)=( , )

Answers

Answer:

(5,20)

Step-by-step explanation:

x+y=25

If you substitute y=4x,

x+4x=25

Now add like terms

5x=25

Divide 5

x=5

Put it back into the equation

5+y=25

Subtract 5

y=20

Answer: (5,20)

WILL MARK BRAINLIEST PLEASE HELP

a survey of boys and girls in second grade was conducted asking whether or not they like pizza. The partially completed two-way table shows results of the survey. How many boys were included in the survey?

Answers

64-35= 29

so there were 29 boys included in the survey

Step-by-step explanation:

answer is in the above photo

there are 29 boys total

What is 25% of 24?
What is 15% of 60?
9 is what percent of 72

Answers

Answer:

6

9

6.48

Step-by-step explanation:

this is the easiest way to solve for percentage:

[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]  Where all the percents (except 100) would go in part

and the whole number would go in whole

[tex]\frac{25}{100} =\frac{?}{24}[/tex]  Then multiply 24 × 25 ÷ 100 = 6

[tex]\frac{15}{100} =\frac{?}{60}[/tex]  Multiply 60 by 25 then divided by 100 = 9

Then for the last one 9 is what percent of 72

all we have to do is multiply 9 and then convert 72 into a decimal (0.72)

Then 9 × 0.72 = 6.48

Answer:

6.48

Step-by-step explanation:

you have to had the left then divide the right

A 6-digit PIN number is selected. What it the probability that there are no repeated digits?
The probability that no numbers are repeated is
Write your answer in decimal form, rounded to the nearest thousandth.
Submit Question

Answers

Mark Brainliest please

Answer: 0.1512

So I know that there are 10 possible digits that can be selected, each time the pool of selected digits gets smaller.

The first digit cannot be zero therefore there are 9 possibilities for this digit. Then, seeing as the order doesn't matter, but repeats do, so I thought a permutation would be the correct method to apply.

9 * ((9!)/(9-5!)) = 136,080 (<-- total number of 6 digit numbers)

Without repeats and no 0 as first digit

Total number of 6 digit numbers = 10^6

Therefore the probability of this scenario happening is:

(139,080/10000000) = 0.13608

Answer:

we got 10 digits to choose from for the first digit, 9 for the second and so on

[tex]10 \times 9 \times 8 \times 7 \times 6 \times 5[/tex]

scenarios that got no repeated digits.

the total number of possible PINs with 6 digits is

[tex]10 \times 10 \times 10 \times 10 \times 10 \times 10[/tex]

or just 10⁶

so the fraction we are looking for is the number of valid states decided by all possible states.

[tex] \frac{10 \times 9 \times 8 \times 7 \times 6 \times 5}{ {10}^{6} } [/tex]

=0.1512

rounded to the nearest thousandth it's

0.151

(actually, I didn't expect the probability to be around 15 percent)

hope it helps. asked question whenever you like

kind regards

Alex

UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?

Answers

Answer:

604,800

Step-by-step explanation:

10*9*8*7*6*5*4

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