Answer:
[tex]1 : 5\ or\ \frac{1}5[/tex]
Step-by-step explanation:
Given that:
A single fair die is tossed.
First of all, let us learn about a fair die.
A fair die is a 6 sided die numbered from 1, 2, 3, to 6 and each side has an equal probability of occurring OR we can say each side is equally likely to occur.
So, probability of rolling a number greater than 5 has only one possible outcome i.e. 6.
And total number of outcomes are 6.
So, probability of rolling a number greater than 5 = [tex]\frac{1}{6}[/tex]
Probability of not rolling a number greater than 5 = [tex]\frac{5}{6}[/tex]
Odds in favor of rolling a number greater than 5 = Probability of rolling a number greater than 5 : Probability of not rolling a number greater than 5
[tex]\dfrac{1}{6} :\dfrac{5}{6} = \bold{1:5}\ or\ \bold{\dfrac{1}{5}}[/tex]
Using the probability concept, the odds of rolling a number greater than 5 is 1 :5
The odd of a particular experiment is defined thus :
Number of possible outcomes greater than 5 : number of possible below or equal to 5
Sample space = {1, 2, 3, 4, 5, 6}
Outcomes greater than 5 = {6} = 1
Outcomes below or equal to 5 = {1, 2, 3, 4, 5} = 5
The odds equals to 1 : 5
Learn more : https://brainly.com/question/20388678
18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue
Answer:
Step-by-step explanation:
14
A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?
Answer:
At 5% , $300 was invested
At 15%, $4,700 was invested
Step-by-step explanation:
Let the amount invested at 5% be $x and the amount invested at 15% be $y
x + y = 5000 ••••••(i)
Let’s work with the interest;
5% of x + 15% of y = 720
0.05x + 0.15y = 720 •••••(ii)
From i;
x = 5000-y
Insert this into ii
0.05(5000-y) + 0.15y = 720
= 250 - 0.05y + 0.15y = 720
250 + 0.1y = 720
0.1y = 720-250
0.1y = 470
y = 470/0.1
y = $4700
x = 5000-y
x = 5000-4700 = $300
In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.
Answer:
5:6
Step-by-step explanation:
the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped
Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. What
percentage of beads on Sharon's necklace are blue?
Write your answer using a percent sign (%).
Answer:
90%
Step-by-step explanation:
Step 1:
72/80 = x /100 Proportion
Step 2:
80x = 7200 Multiply
Step 3:
x = 7200 ÷ 80 Divide
Answer:
90%
Hope This Helps :)
Answer:
Sharon bought a necklace with 90% blue beads.
Step-by-step explanation:
We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.
Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.
[tex]\displaystyle \frac{72}{80}=\frac{36}{40}=\frac{18}{20}=\frac{9}{10}[/tex]
Then, using the fraction we receive as a result, we can convert this to a decimal.
[tex]\displaystyle \frac{9}{10} = 0.9[/tex]
After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.
[tex]0.9 \times 100 = 90\%[/tex]
Of the 80 beads, 90% were blue beads.
FInd the area of the circle
Answer:
A = 12.56 m²
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASGeometry
Area of a Circle: A = πr²d = 2rStep-by-step explanation:
Step 1: Define
d = 4 m
Step 2: Find r
Substitute: 4 = 2rIsolate r: 2 = rRewrite: r = 2 mStep 3: Find Area
Substitute: A = π(2)²Substitute: A = (3.14)(2)²Evaluate: A = (3.14)(4)Multiply: A = 12.56 m²Help Me!! Please. Its important
Answer:
answer to 3 is
Step-by-step explanation:
1 hour = 0.7
2 hours = 1.4
3 hours = 2.1
4 hours = 2.8
5 hours = 3.5
6 hours = 4.2
7 hours = 4.9
8 hours= 5.6
9 hours= 6.3
10 hours= 7.0
11 hours = 7.7
12 hours =8.4
1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
Answer:
3 and 12
Step-by-step explanation:
3*5=15 and 15-3=12. The product of 3 and 12 is 36.
The integers are 3 and 12.
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
let the one integer be x.
Another integer = 5x - 3
According to question,
x *(5x-3 ) =36
5x ² -3 x =36
5x² -3 x - 36 = 0
5x² -15 x +12 x - 36 =0
5x( x-3) + 12 ( x -3) =0
(5x +12)( x- 3)=0
x= -12/5 or 3
So, the integers are 3 and 12.
Learn more about this concept here:
https://brainly.com/question/17023448
#SPJ2
Ima be doing this for the whole form sorry I’m failing math
Answer:
4,0 2,3 ans solutions this may help
304,056 trying to represent the value of this number using expanded notation we give the answer but is giving us an error so we want to find out our error
Answer:
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
Step-by-step explanation:
We want to represent the value of this number using expanded notation
Mathematically, that will be;
(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)
= 300,000 + 0 + 4000 + 0 + 50 + 6
= 304,057
There are 324 stitches sewn on 3 basketballs. Which equation finds the number of stitches, n, sewn on 1 basketball?
Answer: 108 stitches sewn on 1 basket ball
Step-by-step explanation:
324 divided by 3 would give you 108
Answer:
324/3=16
Step-by-step explanation:
324 divided by 3= 16
There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?
Answer:
Small=36
Large=13
Step-by-step explanation:
As given there are 49 dogs signed up
36 are small so the equation is
36+x=49
x=49-36
x=13
So 13 large dogs and 36 small dogs
choices for the first select
∠7 or none of the angles
choices for the second select
is or is not
choices for the third select
is or is not
giving brainliest !!!!!
Answer:
1. None of the angles
2. Is not
3. Is not
Step-by-step explanation:
We can see if the triangles are congruent by ASA (angle, side, angle)
We find ∠F in DEF by 180-(64+78)=38 and 38 doesn't equal 39 so they are not congruent.
1. What is the Potential Energy of a 6 kg object that is 10 m above the
ground?
Choose the solutions to the quadratic equation
x2 - 8x - 9 = 0.
-21
ex? - 8x = 9 to
-1
9
29
DONE
can someone please help, don't use this for points pls :/
(I'll give brainly)
Answer:
x = 3
AB = 18
Step-by-step explanation:
Based on the midsegment theorem:
[tex] MN = \frac{1}{2}(AB) [/tex]
MN = 9
AB = x + 15
Plug in the values and solve for x
[tex] 9 = \frac{1}{2}(x + 15) [/tex]
Multiply both sides by 2
[tex] 9 \times 2 = \frac{1}{2}(x + 15) \times 2 [/tex]
[tex] 18 = x + 15 [/tex]
Subtract 15 from each side
[tex] 18 - 15 = x + 15 - 15 [/tex]
[tex] 3 = x [/tex]
x = 3
AB = x + 15
Plug in the value of x
AB = 3 + 15
AB = 18
The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?
Answer:
It is the second graph.
Step-by-step explanation:
Which of the following shows (2x + y) 4 (4 is small) In expanded notation?
Answer:
8x+4y
Step-by-step explanation:
so use the distributive property and multiply 4 into (2x+y), so you get
(2x*4) + (y*4) = 8x + 4y
hope this helped
Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the
appropriate increments?
Reporting periods Sales
d out of 2
Flag
an
Jan-Mar., 2010
$100,000
Apr.-Jun., 2010
$55,000
Jul.-Sep., 2010
$45,000
Oct-Dec., 2010
$110,000
Jan. --Mar., 2011
$330,000
Apr.-Jun., 2011
$800,000
Jul.-Sep., 2011
$242,000
Oct-Dec., 2011
$150,000
Answer:
the months would be the x axis and the numbers would be the y axis and the increments could start at 45k and have to go up to 800k don't forget the years with the months
could someone please help me with #7 and #8?
Answer: I'm not sure If i'm right because I did this since 8th grade.
For number 7, I think it would be (the equation form)= 6 x + 16
For number 8, I think it would be nothing because there is no solution.
Hope this helps:)
Please help it would help a lot
Answer:
1/2
Step-by-step explanation:
Answer:
y÷x 1÷2=1/2 This is the answer.
Can somebody help me with solve this question
Answer:
f⁻¹(y) = y^(-7/17)
Step-by-step explanation:
f(x) = x^(-17/7)
To find the inverse, switch x and y, and solve for y.
x = y^(-17/7)
x^(-7/17) = y
Therefore, f⁻¹(y) = y^(-7/17).
Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5
Answer: y= -2/7x-2
Step-by-step explanation:
To be parrell they have to have the same slope but different y intercepts.
so just put -2 so it will cross that point
Last month, Jason’s dog drank about 728 ounces of water and his cat
drank about 252 ounces of water.
If Jason’s dog continues to drink this amount, how many ounces of water will he have consumed after 6 months? Show your work in the box below.
Answer:
131,040
Step-by-step explaination:
There is around 29-31 days in a month, so if you just round it's around 30 days a month.
30×6= 180 (days)
180×728= 131,040 ounces
jasons dog would drink 131,040 in 6 months.
A -gallon [gal] quantity of molten (liquefied) plastic is going to be used to make a 1-foot [ft] by 8-inch [in] plastic block. If liters [L] of the plastic is lost in the manufacturing process, how thick is the final plastic block, in units of inches [in]?
Answer:
x = 1,77 in
Step-by-step explanation:
Total volume of molten plastic to make a block is
1 [gal] - 1 L (lost in the process) = 3,7854 - 1 = 2,7854
Now the volume of the block is:
1 foot * 8 inches * x ( thick of the block )
1 foot is 0,3048 meter and 1 inch is 0,0254 meter
Then in m³ the volume of the block is
0,3048 * 8 * 0,0254 * x = 0,06193536 * x [ m³ ]
That volume should be equal to 2,7854 / 1000
Therefore
0,06193536 * x = 2,7854 / 1000 x in m³
x = 2,7854 /61,93536 m
x = 0,044972 m and 1 m = 39,37 in
x = 1,77 in
The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?
Answer:
C & D. check the image just in case the order changes
Step-by-step explanation:
A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The sum of the two positive numbers is 37, and their difference is 7.
Let x and y be the numbers:
x > 0 and y > 0
x + y =37
x - y = 7
The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.
After solving the above equation by elimination method:
2x = 44
x = 22
22 - y = 7
y = 22 - 7
y = 15
Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
1) Fairview and Abbots Rise are 5 in apart on a map that has a scale of 1 in : 18 mi. How far apart are the real cities? 2) A particular satellite is 12 ft wide. A model of it was built with a scale of 1 in :3 ft. How wide is the model? Please help me I have 4 more questoins
Answer:
1) 90 mi
2) 4 inch
Step-by-step explanation:
1)
Given that the distance between Fairview and Abbots Rise on the map = 5 in
Scale of the map = 1 in: 18 mi
i.e. 1 inch on map is equivalent to an actual distance equal to 18 mi between the cities.
Given that the map has a distance of 5 inches.
Therefore, the actual distance between the cities = 5 [tex]\times[/tex] 18 = 90 mi
2) A particular satellite is 12 ft wide.
Model's scale = 1 in : 3 ft
i.e. 1 inch on map is equivalent to actual distance of 3 ft.
OR
3 ft of actual distance = 1 in on map
1 ft of actual distance = [tex]\frac{1}{3}[/tex] in on map
12 ft of actual distance = [tex]\frac{1}{3}\times 12 = \bold{4\ inch}[/tex]
Express the following to percentage into fractions.
Answer:
65.2/100
Step-by-step explanation:
1/5 = 0,2
then:
65 1/5 = 65 + 0.2 = 65.2
65.2/100
Step-by-step explanation:
[tex]65 \div 1 \frac{5 \times 100 = 32500}{?} [/tex]
it comes to 325
Do you guys know this
Answer:
18
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.
We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.
What is the value of x in the equation 2(6x+4)-6+2x = 3(4x+3)+1? 0 1 & 03 O 4 06
Answer: its 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. im prob to late but i need points
The value of x in the equation is 4.
What is an algebraic expression?An Algebraic expression shows the expression of variables with numbers. The purpose of an algebraic expression is to determine the unknown variable represented by an unknown letter.
From the given information:
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
Open brackets
12x + 8 - 6 + 2x = 12x + 9 + 1
Collect like terms
12x + 2x - 12x = -8 + 6+9 + 1
14x - 12x = -8 + 16
2x = 8
x = 8/2
x = 4
Learn more about algebraic expression here:
https://brainly.com/question/4344214
Find the values of x and y that satisfy the equation.
- 12x + yi = 60 - 13i