In order to attract more advertisers to the arena during the sports events, the arena plans to offer advertising space as corporate prizes. 720 companies enter. 8 companies win. What is the probability of a company winning? give your answer as a fraction
Answer: [tex]\dfrac{1}{90}[/tex]
Step-by-step explanation:
Given : The total number of companies = 720
The number of companies won = 8
Now, the probability of a company winning is given by ;-
[tex]\text{P(winning)}=\dfrac{\text{Number of company wins}}{\text{ Total companies}}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{8}{720}\\\\\Rightarrow\ \text{P(winning)}=\dfrac{1}{90}[/tex]
Hence, the probability of a company winning is [tex]\dfrac{1}{90}[/tex].
What's the exact value of tan(-4pi/3)
How many planes can two distinct lines have in common?
A cold front moved in last weekend.In 8 hours overnight,the temperature outside dropped 24 degrees. what was the average temperature change for each hour?
A box of popcorn weighs 15/16 pounds. The box contains 1/3 buttered popcorn and 2/3 cheesy popcorn. How much does the cheesy popcorn weigh
The weight of the cheesy popcorn is 5/8 pounds.
To find the weight of the cheesy popcorn, we will calculate two-thirds of the total weight of the popcorn box, which weighs 15/16 pounds. Since the box contains two types of popcorn, buttered and cheesy, with the cheesy popcorn making up two-thirds of the box, we will simply multiply the total weight of the box by 2/3 to find our answer.
The calculation is as follows:
Total weight of the box = 15/16 pounds
Cheesy popcorn weight = (2/3) * (15/16)
Cheesy popcorn weight = (2 * 15) / (3 * 16)
Cheesy popcorn weight = 30 / 48
When simplified, this gives us 5/8 pounds
Therefore, to find the weight of the cheesy popcorn in a 15/16 pound box, calculate two-thirds of the box's total weight, which results in 5/8 pounds for the cheesy popcorn.
Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck?
Answer:
Julie received $134.4 when she cashed her paycheck .
Step-by-step explanation:
Let the amount of paycheck be x
She paid $10 to her brother
She then spent $30 on fuel for her car
So, She left with amount = x-40
Now She spent half of the remaining money on a new tent for camping
Spent on camping = [tex]\frac{1}{2}(x-40)[/tex]
Remaining = [tex](x-40)-\frac{1}{2}(x-40)[/tex]
She bought a pair of running shoes for $29.45
So, Remaining = [tex](x-40)-\frac{1}{2}(x-40)-29.45[/tex]
We are given that She had $17.75 left.
So, [tex](x-40)-\frac{1}{2}(x-40)-29.45=17.75[/tex]
[tex]x=134.4[/tex]
Hence Julie received $134.4 when she cashed her paycheck .
Which unit rates would be appropriate for describing the amount of rainfall over time?
Select each correct answer.
meters per second
milliliters per minute
centimeters per day
inches per hour
The unit rate appropriate for describing the amount of rainfall over time is centimeters per day. Therefore, option C is the correct answer.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Here,
Rainfall amount is expressed as the quotient of a unit of height and a unit of time.
The way to choose the most appropriate is the relation between both quantities.
For example, "meters per second" is a way too high unit for the height (which is usually inches or millimeters, instead of meters) and way too low for the time unit (which is usually per day, not seconds). This unit would have a really small number for any rain.
The most common unit is "centimeters per day"
Then, we should find a unit rate with a small unit for height and a large unit for time.
Therefore, option C is the correct answer.
To learn more about the unit rate visit:
https://brainly.com/question/11258929.
#SPJ7
Factor 5x2 - 7x + 2.
The factored form of the given expression 5x² - 7x + 2 is equal to (5x - 2)(x - 1).
To factor the quadratic expression 5x² - 7x + 2,
find two binomials in the form (ax + b)(cx + d) whose product gives us the original expression.
The general form of a quadratic expression is ax² + bx + c, where:
a = 5
b = -7
c = 2
To factor the expression, look for two numbers whose product is ac (5× 2 = 10) and whose sum is b (-7).
The two numbers are -5 and -2 because:
-5 × -2 = 10
-5 + (-2) = -7
Now, rewrite the middle term (-7x) using these two numbers:
5x² - 5x - 2x + 2
Next, we group the terms and factor them by grouping:
(5x² - 5x) + (-2x + 2)
Factor out the greatest common factor from each group:
5x(x - 1) - 2(x - 1)
Now, factor out the common binomial factor (x - 1):
(5x - 2)(x - 1)
Therefore, the factored form of 5x² - 7x + 2 is (5x - 2)(x - 1).
learn more about factored form here
brainly.com/question/33784635
#SPJ6
Given that ∠A≅∠B , Gavin conjectured that ∠A and ∠B are complementary angles.
Which statement is a counterexample to Gavin 's conjecture?
m∠A=30° and m∠B=60°
m∠A=25° and m∠B=25°
m∠A=10° and m∠B=15°
m∠A=45° and m∠B=45°
i just took the test answer is B hope that helped!
what is the midpoint of FB
Answer:d
Step-by-step explanation:
What equation is graphed in this figure? A- y−4=−23(x+2) B-y+2=−32(x−2) C-y−3=32(x+1) D- y+1=−23(x−3)
The correct answer would be y + 2 = - 3/2 ( x - 2 )
Please mark brainliest
On Saturday morning Briana and her friends walked 1.35 miles. What is the distance as a mixed number?
What is 9.187 to the nearest tenth? And hundredth and one
If you multiplying by 1/4 makes a positive number smaller, then what does dividing by 1/4 do to the value of the number? Explain your reasoning
Division and multiplication are reciprocal operators.
Dividing the positive number by 1/4 will make the positive number bigger.
From the question, we understand that:
1/4 makes the positive number smaller, when it is multiplied to the positive number.
Because division and multiplication are reciprocals,
Dividing the positive number by 1/4 will make the positive number bigger.
Hence, what division does to the positive number is that: It makes it bigger
Read more about division and multiplication at:
https://brainly.com/question/19928607
A delivery truck made 8 stops in one neighborhood. By stop 5, there were 11 packages delivered. This graph shows this information.
How many stops did it take to have 5 packages delivered?
12
8
3
2
graph the equation y=3/5x on the coordinate plane
A graph of the linear function y = 3/5(x) is shown in the image attached below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Since the given linear function y = 3/5(x) is in slope-intercept form, we would start by plotting the y-intercept:
y = 3/5(x)
y = 3/5(0)
y = 0
Next, we would use an online graphing tool to plot the given linear function for the values in its domain using table, as shown in the graph attached below.
Read more on a graph here: brainly.com/question/4546414
#SPJ3
What is the range of this data set?
27, 5, 11, 13, 10, 8, 14, 18, 7
A. 22
B. 7.5
C. 11
D. 16
Nadeen is at an arcade. She started out with 18 tokens, and each game costs 3 tokens to play. Suppose x is the number of games Nadeen has already played.
Answer:
The expression [tex]18-3x[/tex] describe the number of tokens Nadeen has left.
Step-by-step explanation:
Consider the provided information
Nadeen is at an arcade. She started with 18 tokens. Each game costs 3 tokens.
The cost of each game is 3 tokens
Suppose x is the number of games played by Nadeen
Thus, the cost of x games is 3x tokens
it is given that Nadeen started with 18 tokens.
So, token left = [tex]18-3x[/tex]
Therefore, the expressions [tex]18-3x[/tex] can be used to describe the number of tokens Nadeen has left.
What is the area of figure EFGHI below?
Answer:
The answer is C.
Step-by-step explanation:
I learned about it.
Hii pleaseeeeee helpppppp meeeee understand how to do this I want to understand.
The next plane will arrive in 22 minutes and 30 seconds. In how many seconds will the next train arrive?
A line is defined by the equation y=-x+3 Which shows the graph of this line.
Answer:
the graph in the attached figure
Step-by-step explanation:
we have
[tex]y=-x+3[/tex]
we know that
The slope of the line is negative [tex]m=-1[/tex]
The y-intercept of the line is the point [tex](0,3)[/tex] (value of y when the value of x is equal to zero)
The x-intercept of the line is the point [tex](3,0)[/tex] (value of x when the value of y is equal to zero)
therefore
the graph in the attached figure
Answers So it's just A
Step-by-step explanation:
Write 0.0000648 in scientific notation. (PLEASE ANSWER XD)
Ericka observed the total variation in the water level over 6.2 years to be −13.64 mm. She compared this to the average annual trend, which shows the water level rising 1.8 mm/year. Remember, she used 6.2 years as her time period. What is the difference between how much average water levels rose and how much the water level fell in the part of the river she observed?
Answer:
24.8
Step-by-step explanation:
The flagpole in Mario's yard is 3,000 centimeters tall. How many meters tall is the flagpole?
can some one please help with this PLEASE
HELP!!
Which story problem could be solved using the given equation?
1/5x2/3=m
A
Lucas needs a wooden strip that is 2/3 yard long for his boat model. He plans to cut the strip into pieces that are each 1/5 yards long. How many pieces can he cut from the 2/3 yard long strip?
B
Karen measured 2/3 cup of milk for a recipe. She then added another 1/5 cup of the milk to the recipe. How much milk did Karen use in the recipe?
C
Jasmine bought some tiles to put around her patio. Each tile has a length of 2/3 foot and a width of 1/5 foot. What is the area, in square feet, of each tile?
D
Lucas’s kitten is 2/3 foot tall. Jake’s kitten is 1/5 foot taller than Lucas’s kitten. How tall is Jake’s kitten?
what is volume of a sphere with radius of 9 inches. Need to know the steps also.
The work is provided in the image attached.
Which equation is a point slope form equation for line AB ?
A. y+1=−2(x−6)
B. y+6=−2(x−1)
C. y+5=−2(x−2)
D. y+2=−2(x−5)
Answer: D . [tex]((y+2)=-2(x-5)[/tex]
Step-by-step explanation:
The equation of a line passing through two points (a,b) and (c,d) in point-slope form is given by :-
[tex](y-d)=\dfrac{d-b}{c-a}(x-c)[/tex]
From the given graph ,it can be seen that the line is passing through two points A(1,6) and B(5,-2).
Then the equation for the line AB in point-slope form would be :-
[tex](y-(-2))=\dfrac{-2-6}{5-1}(x-5)[/tex]
[tex]\Rightarrow\ (y+2)=\dfrac{-8}{4}(x-5)[/tex]
[tex]\Rightarrow\ (y+2)=-2(x-5)[/tex]
Hence, the equation is a point slope form equation for line AB :
[tex](y+2)=-2(x-5)[/tex]
Keri uses the digits 7,5,4 and 8. Help Kerri write down all possible A. 4 digit odd numbers B. 4 digit even numbers. Use digit only once in each number.
To write down 4-digit odd and even numbers using the digits 7, 5, 4, and 8, there are 4 possible odd numbers and 2 possible even numbers.
Explanation:In order to write down all possible 4-digit odd and even numbers using the digits 7, 5, 4, and 8, we need to consider the following:
An odd number always ends with an odd digit, which in this case can only be 7 or 5. So, we have two options: 75 or 57.The remaining two digits can be arranged in any order. We have 2 options for the first digit (4 or 8) and 1 option for the second digit (the remaining digit).Therefore, for 4-digit odd numbers, we have a total of 2 * 2 * 1 = 4 possible numbers: 754, 584, 758, and 578.An even number always ends with an even digit, which in this case is 8. So, we need to choose an even digit for the thousands place. We have one option, which is 4. The remaining two digits can be arranged in any order.Therefore, for 4-digit even numbers, we have a total of 1 * 2 * 1 = 2 possible numbers: 854 and 584.