If you were to pick one day of the year at random, is it more likely that the day would be a Tuesday or that the day would fall during the month of January?

Answer and explain in your own words why you chose what you chose.

Answers

Answer 1

Answer: It's more likely it's a Tuesday

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

Explanation:

The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.

The odds of it being January is 1/12 because we have 1 month we want out of 12 total.

Now the question is: which fraction is larger?

For now, assume they are equal. We'll cross multiply like so

1/7 = 1/12

1*12 = 7*1

12 = 7

We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps

1/7 > 1/12

1*12 > 7*1

12 > 7

which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.

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

Alternatively, you can use your calculator to find that:

1/7 = 0.143 approximately1/12 = 0.083 approximately

Then for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.


Related Questions

Find the value of x
Use sin, cos, or tan

Answers

Answer:   16.5

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

Explanation:

We use cosine to tie together the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411

x = 16.5

How many feet are in 60 yards

Answers

Answer:

180

Step-by-step explanation:

See the image below:)

Question 1

Solve: 2x2 - 4x - 3 =0

Question 2

Solve: x(x - 2)= 4

Question 3

Solve: 9x2 + 12x +4 = 0

Question 4

Solve: x2 + 2x = 1

I’ll give brainiest pls help ASAP

Answers

Answer:

[tex]{ \tt{question \: 1 : }} \\ 2 {x}^{2} - 4x - 3 = 0 \\ x = 2.58 \: \: and \: \: - 0.58 \\ \\ { \tt{question \: 2 : }} \\ x(x - 2) = 4 \\ x = 4 \: \: and \: \: 6 \\ \\ { \tt{question \: 3 : }} \\ {9x }^{2} + 12x + 4 = 0 \\ (3x + 2)(x - 9) = 0 \\ x = \frac{ - 2}{3} \: \: and \: \: 9 \\ \\ { \tt{question \: 4 : }} \\ {x}^{2} + 2x = 1 \\ {x}^{2} + 2x - 1 = 0 \\ x = 0.41 \: \: and \: \: - 2.41[/tex]

What is the fraction between 6/4 and 7/4 when subtracted

Answers

Answer:

-1/4

Step-by-step explanation:

we always keep the denominator the same if they are the same number and I just subtracted the numerator

Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?

Answers

Answer: 97ft

Step-by-step explanation:

Pythagore

Strip^2 = 65^2 + 72^2 = 9409

Strip = squareroot 9409 = 97 ft

how many solutions does -3x+12-9x+8=-3(4x-7)

Answers

Answer:

-3x+12-9x+8=-3(4x-7)

-3x+12-9x+8=-12x+21

-12x+21=-12x+21

21=21

infinitely many solutions

hope this helps

have a good day :)

Step-by-step explanation:

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

What is the solution to the equation?

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

-3x + 12 - 9x + 8 = - 3(4x - 7)

Simplify the equation, then we have

- 3x + 12 - 9x + 8 = -3(4x - 7)

- 12x + 20 = - 12x + 21

12x - 12x = 1

(0) x = 1

The number of solution of the equation - 3x + 12 - 9x + 8 = -3(4x - 7) will be infinite many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

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A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of $9,925 was donated to hospitals

Answers

Answer:

4%

Step-by-step explanation:

[tex]\frac{part}{entirety} *100[/tex]

[tex]\frac{397}{9925} *100 =4[/tex]

I need help answering this question

Answers

I’m pretty sure the correct answer is x=6

please help me fill in the blanks asap !!! the first question is a yes or no question. thankyou

Answers

Answer:

No, because the longest side is too short to be the hypotenuse of a right triangle.

Step-by-step explanation:

To see if the sides form a right triangle

6² + 8² = 9²

36 + 64 = 81

100 ≠ 81

The the 3rd side is too short

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

solve the quadratic equation below for the exact values of x.

4x² - 5 = 75

Answers

Answer:

x = ±2√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsMultiple Roots

Step-by-step explanation:

Step 1: Define

Identify

4x² - 5 = 75

Step 2: Solve for x

[Addition Property of Equality] Add 5 on both sides:                                    4x² = 80[Division Property of Equality] Divide 4 on both sides:                                  x² = 20[Equality Property] Square root both sides:                                                    x = ±2√5

Answer:

[tex]4x^{2} = 75 - 5[/tex]

[tex]\sqrt{4x^{2}} = \sqrt{70}[/tex]

[tex]4x/4=8.366600265/4[/tex]

[tex]x=2.1 rounded[/tex]

Step-by-step explanation:

PLEASE HELP I NEED THE ANSWER THANK YOU​

Answers

Answer:

B

Step-by-step explanation:

HELP 25 POINTS GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT !
Fill in the the table Use the two-way frequency table to complete the two-way relative frequency table which shows the distribution of data with respect to all types of
books. Round your answers to the nearest whole percent

Answers

Answer:

Grade 7 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Grade 8 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Total -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Conclusions: Everything had the same answer, 33%, 17% , and 50%.

Find the difference: 28y − 16y
A.
12y
B.
10y
C.
-44y
D.
-12y

Answers

The answer to the question is a bc 28 - 16 is 12

Answer:

A. [tex]12y[/tex]

Step-by-step explanation:

Subtract like normal 28 - 16 = 12

so then it's 12y

Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. How many boxes will each person have packed after an 8 hour shift?

Answers

Answer:

Mike= 240 boxes

Sarah= 120 boxes

Step-by-step explanation:

Mike and Sarah are packing boxes at a company

Mike packs 30 boxes each hour, after an 8 hour shift the number of boxes he will pack is

= 30×8

= 240

Sarah packs 15 boxes each hour, afterr an 8 hour shift the number of boxes she will pack is

= 15×8

= 120

Hence after the 8 hours shift Mike will pack 240 boxes while Sarah will pack 120 boxes

State the amplitude and period of f(x) = 3cos9/5t

Answers

Answer:

The amplitude is 3 and the period is 10π/9.

Step-by-step explanation:

The standard cosine function is in the form:

[tex]y=a\cos(b(x-c))+d[/tex]

Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.

We have the function:

[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]

We can rewrite this as:

[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]

Therefore, a = 3, b = 9/5, c = 0, and d  = 0.

Hence, our amplitude is |3| = 3.

Our period will be:

[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]

What is the slope intercept form here!!!

Answers

Answer:

y=x

Step-by-step explanation:

A loaf of bread costs $0.90. Each loaf has 15 slices. How much does each slice of bread cost?

Answers

Answer:

Each slice of bread costs $0.06.

Step-by-step explanation:

To find how much each slice of bread costs, you need to divide the cost (0.90) by how many slices there are (15). When you divide the two, you get 0.06. To check your answer you can do 0.06x15 and that will equal $0.90.

Answer:

0.9/15=$0.06 per slice

Also what is this 1910 when did a loaf of bread cost 90 cents????

What is the slope of a line parallel to the line whose equation is
x + 2y = 10. Fully simplify your answer.

Answers

Answer:

The required slope is equal to -1/2.

Step-by-step explanation:

The given equation of line is :

x + 2y = 10

A line parallel to this line has the same slope. To determine the slope, solve for  y  to change the equation to slope-intercept form:

y = mx+b .....(1)

2y = 10 -x

Dividing both sides by 2.

[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)

Comparing equations (1) and (2),

m = -1/2

Hence, the required slope is equal to -1/2.

15/x=10/2
Find x please

Answers

Answer:

x=3

Step-by-step explanation:

15/x=10/2

Simplifying the right side

15/x = 5

Multiply each side by x

15/x *x = 5x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

62.4g of sugar is needed to make 8 cakes. How much sugar is needed for 9 cakes?

Answers

Answer:

7.8 for 1 cake so add that to your total

Step-by-step explanation:

(Time expired.) The graph shows the system of equations below.


2 x minus 3 y = negative 6. y = negative one-third x minus 4



Which statement is supported by the graph?

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

B. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is ( –2, –6).

C. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (2, –4).

D. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (–4, 2).

Answers

Answer:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Step-by-step explanation:

Here we have the system:

2x - 3y = -6

y = -(1/3)*x - 4

First, remember that if the slope is negative, then the equation is decreasing.

So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).

So the blue one represents the equation 2x - 3y = -6

Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)

This means that the solution of the system is  (-6, - 2)

From this, we can see that the correct option is:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

25 POINTS GIVING BRAINLIEST TO WHOEVER ANSWERS UT RIGHT!!A right triangle has hypotenuse with a length of 13 cm. The length of one leg is 5 cm. What is the area of the triangle?
A.65
B.60
C.32.5
D.30

Answers

Answer:

Hello! answer: 30

Step-by-step explanation:

13 × 13 = 169

5 × 5 = 25

169 - 25 = 144

12 × 12 = 144 therefore 12 is the missing leg

so we will use this to find the area so...

12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!

Which equation represents the relationship between the x-and y-values shown in the table.
x. y
7. 17
5. 11
3. 5
2. 2
A. y=2x-1
B. y=x + 10
C. y=3x -4
D. y=2x + 1​

Answers

C. y = 3x - 4

Step-by-step explanation:

Given coordinates:

(2, 2), (3, 5), (5, 11), (7, 17)

The equation of any straight line is

y = mx + c

Where

m = Gradient

c = Constant

Gradient = y2 - y1/x2 - x1

Substitute any two values of y with the respective values of x.

Gradient = 17 - 2/7 - 2

= 15/5

= 3

Substitute the gradient into the general formula.

y = 3x + c

Substitute any value of the coordinate to the equation

2 = 3(2) + c

2 = 6 + c

c = -4

From y = mx + c,

substitute the values of m, the gradient, and c, the constant.

y = (3)x + (-4)

y = 3x - 4


A bag contains 4 yellow, 2 red, and 6 green marbles. two marbles are drawn. the first is replaced before the second is drawn. a random variable assigns the number of red marbles to each outcome. calculate the expected value of the random variable.
a. 0.67
c. 0.17
b. 0.56
d. 0.33

Answers

Answer:

c. 0.17

Step-by-step explanation:

The bag have 4 + 2 + 6 = 12 balls.

There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:

2/12 = 1/6 = 0.1666 ≈ 0.17

The expected value of the random variable that assigns  the number of red marbles to each outcome is 0.17.

What is the probability?

Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.

Expected value = number of red marbles / total number of marbles

2/12 = 0.17

To learn more about probability, please check: https://brainly.com/question/13234031

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use the distributive property to simplify the expression 1/5(2a-15b+5/6c)+7b.​

Answers

Answer:

2/5a + 4b + 1/6c

Step-by-step explanation:

Distribute 1/5 throughout the parentheses (multiply it by each term enclosed in the parentheses) --> this gives you 2/5a -3b + 1/6c + 7bThen you just combine like terms to get your answer. In this case, the only like terms you need to combine are -3b and 7b to get -3b

Which of the following is not equivalent to this expression?
2m + 10m +14+3
A. m +12m +8+9
B. 2m + 10 + 10m +7
C. 6m + 6m - 1 + 18
D. 15m +15 - 3m +2

Answers

Answer:

A

Step-by-step explanation:

the given equation can be simplified to 12m+17

so if we simply the other options we see that A = 13m+17

3. If 2x +9 32, then x could be
11.5?

Answers

2x+9= 32
2x= 32-9
2x= 23
x= 23:2
x= 11.5

Answer:

Yes

Step-by-step explanation:

We can see step by step how to solve for x, and get 11.5:

2x+9=32

Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:

2x+9-9=32-9

=

2x=23

In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.

When I mean 1, I mean you want 1x, or just x.

Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:

2x/2=23/2

=

x=11.5

So x equals 11.5, and you were correct.

Hope this helps!

Two trucks leave a warehouse at the same​ time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by miles per hour. After ​hours, they are miles apart. What are the rates of the​ trucks? Use the table below to organize your work

Answers

Answer:

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = 62.5 miles/hour

Step-by-step explanation:

Using missing information;

Assume;

Speed of the slower truck = a

Speed of the faster truck = a + 5

Distance traveled by the slower truck = d

Distance traveled by the faster truck = 600 - d

So,

a(5) = d ........ Eq1

(a+5)(5) = 600 - d

5a + 25 = 600 - d

So,

5a + 25 = 600 - 5a

10a = 575

a = 57.5

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = a + 5

Speed of the faster truck = 57.5 + 5

Speed of the faster truck = 62.5 miles/hour

Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n

Answers

Answer:

n = 90 - 62

n = 28º

m = 180 - (62 + n + 27)

m = 180 - (62 + 28 + 27)

m = 180 - 117

m = 63º

Which is the best explanation for why − √ 10 is irrational?

Answers

Step-by-step explanation:

- square root of 10 is irrational because it is less than zero. - square root of 10 is irrational because it is not a whole number.

Upon prime factorizing 10 i.e. 21 × 51, 2 is in odd power. Therefore, the square root of 10 is irrational.

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