Two Fair six-sided dice are rolled and the face values are added. What is the probability of obtaining an even number less than 7?

Answers

Answer 1

Answer:

The probability is 1/4

Step-by-step explanation:

In this question, we are interested in calculating the probability of obtaining even numbers which are less than 7, when two fair six-sided dice are rolled.

Now, mathematically the probability will be;

number of even numbers less than 7/total number of outcomes

Firstly, the total number of outcomes is 36. Now to get the number of even numbers less than 7, we need to construct tables that could show our sample space.

Please check attachment for this.

Now from the constructed table, we can find the number of even numbers less than 7.

By counting, we can see that the we have 9 even numbers which are less than 7

Thus, the probability of selecting an even number which is less than 7 is;

9/36 = 1/4

Two Fair Six-sided Dice Are Rolled And The Face Values Are Added. What Is The Probability Of Obtaining

Related Questions

Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $1.25 for a delivery made within 1 1/2 mi, $1.70 for a delivery of at least 1 1/2 mi but less than 1 3/4 mi, $2.15 for a delivery of at least 1 3/4 mi but less than 2 miles, and so on. If tim raised his rates by 10% what would he be paid to deliver a package 3 1/8 miles

Answers

Answer:

$4.84

Step-by-step explanation:

Given that

For delivery within [tex]1\frac{1}2[/tex] mi, charges = $1.25

For delivery within [tex]1\frac{1}2[/tex] mi - [tex]1\frac{3}4[/tex] mi, charges = $1.70

For delivery within [tex]1\frac{3}4[/tex] mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2[tex]\frac{1}4[/tex] mi, charges = $2.60

For delivery within 2[tex]\frac{1}4[/tex] mi - 2[tex]\frac{1}2[/tex] mi, charges = $3.05

For delivery within 2[tex]\frac{1}2[/tex] mi - 2[tex]\frac{3}4[/tex] mi, charges = $3.50

For delivery within 2[tex]\frac{3}4[/tex] mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3[tex]\frac{1}4[/tex] mi, charges = $4.40

So, every 0.25 mi or [tex]\frac{1}4[/tex] mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of [tex]3\frac{1}8[/tex] miles lies within the range 3 mi - 3[tex]\frac{1}4[/tex] mi.

So actual charges after increase of 10%

[tex]\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}[/tex]

Pks answer this attachment

Answers

Answer:

Anita's shape

Step-by-step explanation:

A shape with less number of sides will have longer sides.

Since, Anita's shape has less number of sides as compared to others.

Therefore, Anita's shape will have longest sides.

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula. A. an=10(2n−1) B. an=5(2n−1) C. an=4(2n−1) D. an=20(2n−1)

Answers

Answer:

. an=4(2n−1)

Step-by-step explanation:

PLZ HELP I WILL MARK YOU AS BRAINLIEST
The ages of two groups of karate students are shown in the following dot plots: The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data? Group A has greater variability in the data. Group A has less variability in the data. Group B has a lower range. Group B has a lower mean.

Answers

Answer:

Group A has less variability in the data.

Step-by-step explanation:

Examining the data for both groups virtually as represented on the dot plot, we can easily tell that the data in group A are less spread compared to group B data.

Group A has a range value of 10 (14 - 4), while group B has a range value of 19 (26 - 7).

Therefore, "Group A has less variability in the data."

Find y round to the nearest tenth

Answers

The answer is Y = 27.8

Y is 27.8

Just trust me please :)

the 15 chihuahua puppies ate 63 cups of food last week if each puppy ate the same amount of food how many cups of puppy food did each puppy eat

Answers

Answer: 4.2 cups

Step-by-step explanation: 63 divided by 15=4.2

On a coordinate plane, triangle A B C is shown. Point A is at (negative 2, negative 4), point B is at (2, negative 1), and point C is at (3, negative 4). Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units

Answers

Could you show a picture please?

Answer:

B, 10+ /10 units

Step-by-step explanation:

At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.? A. 2 B. 4 C. 8 D. 16

Answers

Answer: C. 8

At 10:15 a.m., there are 8 cells in the bottle.

Step-by-step explanation:

Answer:

At 10.15 there will be 8 cells

Step-by-step explanation:

Find the volume of the prism. (Image down below)

Answers

Answer:

Option (A)

Step-by-step explanation:

In the figure attached,

A prism has been given with two triangular bases.

If we put this prism with one of the triangular face as the base of the prism, height of the prism will be 6 in.

Volume of a prism is calculated with the formula,

Volume = (Area of the triangular base) × Height

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height of the triangular base})[/tex]

                                             = [tex]\frac{1}{2}(3)(5)[/tex]

                                             = 7.5 in²

Volume of the prism = 7.5 × 6

                                  = 45 in³

Therefore, Option (A) will be the answer.

If x is 5, then 6x = _____.

Answers

Answer:

30

Step-by-step explanation:

if x is 5, then 6x=______.

sub in the value of x for 5

when a variable and coefficient as next to eachother that means to multiply

so 6*5= 30

Answer:

[tex]\large \boxed{\mathrm{30}}[/tex]

Step-by-step explanation:

[tex]x=5[/tex]

[tex]\sf{Substitute \ x \ as \ 5 \ for \ 6x.}[/tex]

[tex]6(5)[/tex]

[tex]6 \times 5 = 30[/tex]

4. You (or your parents) plan to pay $1,275.00/month for a mortgage. How much is the minimum (1 point)
realized income per month to the nearest penny?

Answers

$4,553. 57/ month

i just did the test....^

The minimum realized income is $2,965.12 per month.

What is the debt-to-income ratio?

Lenders typically use the debt-to-income ratio to assess a borrower's ability to repay a mortgage loan.

The debt-to-income ratio = borrower's total monthly debt payments ÷ gross monthly income.

We have,

To determine the minimum realized income per month we need to consider the debt-to-income ratio.

Lenders typically require a debt-to-income ratio of 43% or less.

So,

Assuming a debt-to-income ratio of 43%.

The minimum realized income per month.

= 1,275 / 43%

= 1275 / 0.43

= 2,965.12

Therefore,

The minimum realized income per month required to afford a mortgage payment of $1,275.00, assuming a debt-to-income ratio of 43%, is approximately $2,965.12 per month.

Learn more about debt to income ratio here:

https://brainly.com/question/20901566

#SPJ5

find the multiplicative inverse of 3 by 4 minus 5 by 7​

Answers

Answer:

28

Step-by-step explanation:

[tex]\frac{3}{4}-\frac{5}{7}[/tex]

Least Common Denominator of 4 & 7 is 4 * 7 = 28

[tex]\frac{3}{4}-\frac{5}{7}=\frac{3*7}{4*7}-\frac{5*4}{7*4}\\\\\\=\frac{21}{28}-\frac{20}{28}\\\\\\=\frac{21-20}{28}\\\\\\=\frac{1}{28}[/tex]

Multiplicative inverse of [tex]\frac{1}{28}[/tex] is [tex]\frac{28}{1} = 28[/tex]

Yup it equals 28 fir this one

i need some help with a tutorial.

Answers

Answer:

A

Step-by-step explanation:

Answer:

Choice A is correct.

Step-by-step explanation:

72/9 basically means: 72➗9, which makes 8.

To check, you could also do 8✖️9=72.

To find the correct answer, you need to find the fraction that has the denominator of 1, because you cancel out 9 in the fraction.

The only choice that has the denominator of 1, is choice A, so choice A is correct.

Help me with 1 please

Answers

Answer:

[tex]\huge\boxed{Mass = 11600\ kg}[/tex]

Step-by-step explanation:

Given:

Density = ρ = 2900 kg/m³

Volume = V = 4 m³

Required:

Mass = m = ?

Formula:

Mass = Density × Volume

Solution:

Mass = 2900 * 4

Mass = 11600 kg

heyy
the answer is

mass=11600 kg

2 4/5-( -2 1/4)
Can someone please help me solve this and explain.. I’m so confused

Answers

Answer:

5 1/20

Step-by-step explanation:

2 ⅘=2+4/5

2 ¼=2+1/4

So: 2 ⅘-(-2 ¼)=

2 ⅘ + 2 ¼=

2+4/5+2+1/4=

4+(4/5+1/4)=

4+21/20=

4+(20+1)/20=

4+(1+1/20)=

5 1/20

Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88​

Answers

Answer:

Each slice of pizza cost:

$1.63

Step-by-step explanation:

4.89/3 = 1.63

Answer:

$1.63

Step-by-step explanation:

We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.

cost / slices

It costs $4.89 for 3 slices.

$4.89 / 3 slices

Divide 4.89 by 3 (4.89/3=1.63)

$1.63 / slice

The cost of each slice of pizza is $1.63

Does coordinate p or coordinate q represent a greater number?

PLEASE HELP!!

Answers

Answer: the answer is P

Step-by-step explanation:

Find the Volume of the following shape.

Answers

Answer:

The trapezoidal prism's volume is [tex]312m^{2}[/tex]

Step-by-step explanation:

Step 1: Recognize the shape is a trapezoidal prism

Constructed from:

Trapezoids

Step 2: Solve the area of the shape

Area of Trapezoid = [tex](\frac{a+b}{2} h) =( \frac{5+8}{2} 4.8)=(\frac{13}{2} 4.8) = 31.2m^{2}[/tex]

Step 3: Multiple the area of the Trapezoid by the width

Area of Trapezoid x 10m = Area of Trapezoidal Prism

[tex](31.2m^{2} )(10m^{2} )= Volume\\312m^{3} =Volume[/tex]

Identify a pattern and find the next number in the pattern.

-5, 1, 7, 13

Answers

Answer:

19

Step-by-step explanation:

The pattern is that it +6 every number.

-5 + 6 = 1

1 + 6 = 7

7 + 6 = 13

So the next number is 13 + 6 = 19.

EDIT - I can't add sorry.

Answer:

Step-by-step explanation:

This is an arithmetic sequence.

-5, 1 , 7 , 13 ,.....

First term = a = -5

Common difference =  d = second term - first term

                                   = 1 - [-5] = 1 + 5

                                  = 6

Next term = previous term + d

                 = 13 + 6 = 19

nth term = a +(n-1)*d

              = -5 + (n-1)*6

              = -5 + 6n - 6  {add like terms}

              = -5 - 6 + 6n

             = -11 + 6n

Pattern: 6n -11

Jon wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor
is
oft by 3 1 ft. Find the area the carpet needs to cover. •!
12
4
5
tiled floor
Entar

Answers

Answer:

321/8 ft^2

Step-by-step explanation:

The whole area is 49/4 × 5 = 245/4 ft^2

The area of tiled floor is 13/2 × 13/4 = 169/8

245/4 - 169/8 we need to equalise the bottom of fraction to subtract so

2/2 × 245/4 = 490/8

490/8 - 169/8 = 321/8 ft^2

for the answer: The florist needs at least 1/3 gallons of nutrient rich water for each bushel of flowers he buys. If w is the gallons of water and f is the bushels of flowers, then:

w≥1/3f

I don't understand how you derive this equation.

Answers

Answer:

see below

Step-by-step explanation:

The phrase "at least" indicates that you use the symbol ≥, so that's where they got the ≥ from. The amount of water needed for each bushel is 1/3 * f or 1/3f because you need 1/3 gallons of water per one bushel. We know that the amount of water needed is at least 1/3 gallons per bushel. Since the amount of water is w, "at least" is ≥ and 1/3 gallons per bushel is 1/3f, the inequality is w ≥ 1/3f. I hope this makes sense.

help me solve please

Answers

Answer:

D) 16+4√2

Step-by-step explanation:

If the area of the triangle is 8, we use 1/2bh to find it.  Since b and h are the same on this triangle, we find that 8=1/2(4)(4)

Now we know that the two sides of the parallelogram and the top two sides of the triangle are all 4.  We just need to find the bottom of the parallelogram to know the perimeter.  It’s the same as the hypotenuse of the right triangle.

4²+4²=c²

16+16=c²

32=c²

c=√32  Now we have all 5 sides.

4+4+4+4+√32

16+√32

16+4√2

How many pounds is 7 tons

Answers

Answer:

14000 pounds :)

Step-by-step explanation:

Answer:

14000 pounds

Step-by-step explanation:

Formula:

multiply the mass value by 2000

how to find the theta with side lengths of a triangle

Answers

Step-by-step explanation:

Hello, there!!!

I hope you mean the question is like the above problem in picture.

so, let's simply work with it.

here, we may use cosine rule,

so, according to cosine rule,

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.cosc[/tex]

so, just put value of formulae here,

we get;

5^2 = 3^2 + 4^2 - (2×3×4) . cos thita

or, 25 = 9 + 16 -24 cos thita.

or, 24 cos thita = 0

or, cos thita = 0/25

or, cos thita = 0

now, taking cos to right side we get,

[tex] {cos}^{ - 1 } (0)[/tex]

now, after typing cos ^-1 (0) we get angle as 90°.

(note: in step {cos thita = 0} you couold directly write like; cos thita = cos 90°. and cos would be cancelled in it as cos 90°=0. but it is only applied in particular angle like 0°,30°,60°,..... which are identified or if you don't know you must use the method above using calculator and remember to put inverse {cos^-1}).

so, In this way we find angle.

I hope it helps....

3 people can fix a road in 5 hours how long would it take 4 people give your answer in minutes

Answers

Answer:

Hey there!

1 person can fix 1/3 of the road in 5 hours.

1 person can fix 1/15 of the road in 1 hour.

4 people can fix the road in 15/4, or 3.75 hours.

This is equal to 225 minutes.

Let me know if this helps :)

3 people - 5 h

4 people - x h

[tex]4\cdot x=3\cdot 5\\4x=15\\\\x=\dfrac{15}{4}=3,75[/tex]

3.75 h

help ASAP! image below.

Answers

Answer:

y= 68°

x= 34°

Step-by-step explanation:

78° alternates C= 78°

34+78= 112°

180-112= 68°

y alternates 68° y= 68°

68+78= 146°

180-146= 34°

3|2(2)-9|-2
need to evaluate the expression

Answers

Answer:

13

Step-by-step explanation:

3|2(2)-9|-2

First evaluate inside the absolute value

3|4-9|-2

3|-5|-2

Taking the absolute value of -5

3*5-2

Multiply

15 -2

13

Steps to solve:

3|2(2) - 9| - 2

3|4 - 9| - 2

3|-5| - 2

3(5) - 2

15 - 2

13

Best of Luck!

Find the area of the shape shown below.
2
2
2
2
2
units

Answers

Answer:

8

Step-by-step explanation:

khan

Answer:

8

Step-by-step explanation:

What is —4р + (- 6р) equals?​

Answers

Answer

[tex] \boxed{10p}[/tex]

Step by step explanation

[tex] \mathsf{ - 4p + (- 6p)}[/tex]

When there is a ( + ) in front of an expression in parentheses, the expression remains the same

[tex] \mathsf{ - 4p - 6p}[/tex]

Collect like terms

[tex] \mathsf{ - 10p}[/tex]

Hope I helped!

Best regards!

If MQ = 9, NP = 27, and LQ = 15, calculate the length of LP. Assume ΔLMQ ~ ΔLNP. Image not set to scale.

Answers

Answer:

LP = 45

Step-by-step explanation:

MQ/NP = LQ/LP

= 9/27

= 1/3

if LQ is 15 and is 1u, LP (3u) is 15 × 3 = 45

Answer:

[tex]\huge \boxed{45}[/tex]

Step-by-step explanation:

We can solve by using ratios since the triangles are congruent.

[tex]\displaystyle \sf \frac{MQ}{NP} =\frac{LQ}{LP}[/tex]

Let the length of LP be x.

[tex]\displaystyle \frac{9}{27} =\frac{15}{x}[/tex]

Cross multiply.

[tex]9x=15 \times 27[/tex]

[tex]9x=405[/tex]

Divide both sides by 9.

[tex]\displaystyle \frac{9x}{9} =\frac{405}{9}[/tex]

[tex]x=45[/tex]

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