Answer: 1/2
Step-by-step explanation: Note that to roll an even number, we can roll a 2, 4, or 6.
So there are three ways to roll an even number.
Now let's use our ratio for the probability of an event.
P(event) = number of favorable outcomes/total number of outcomes
Since we want to find the probability of rolling a 3, the number of favorable outcomes for rolling a 3 will go on top in the ratio.
Also, remember that a number cube has six total outcomes.
So 6 will go in the bottom of our ratio
So the probability of rolling an even number is 3/6.
However, we can reduced 3/6 to 1/2.
Always reduce when finding probability.
So the probability or likelihood of rolling an even number is 1/2.
After flooding damaged much of the crop, the cost of a head of lettuce jumped from $0.92 to $2.26. What percent of increase is this? Round to the nearest one percent.
Answer:
146%
Step-by-step explanation:
[tex] percent~change = \dfrac{new~price - old~price}{old~price} \times 100% [/tex]
If the percent change is positive, it is a percent increase.
If the percent change is negative, it is a percent decrease.
Your numbers are
old price = $0.92
new price = $2.26
Plug in the numbers in the formula above and evaluate the expression.
percent change = ($2.26 - $0.92)/($0.92) * 100%
percent change = ($1.34)/($0.92) * 100%
percent change = 1.4565 * 100%
percent change = 146%
Since the percent change is a positive number, it is a percent increase.
Answer: The percent increase is 146%.
Owners of a minor league baseball team believe that a Normal model is useful in projecting the number of fans who will attend home games. They use a mean of 8500 fans and a standard deviation of 1500 fans. Using this model, answer these questions. a. Sketch and clearly label this Normal model, based on the 68-95-99.7 Rule. b. What proportion of the home games will have fewer than 6000 fans in attendance
Answer:
a) [tex] \mu -\sigma = 8500 -1500 = 7000[/tex]
[tex] \mu +\sigma = 8500 +1500 =10000[/tex]
[tex] \mu -2*\sigma = 8500 -2*1500 = 5500[/tex]
[tex] \mu +2*\sigma = 8500 +2*1500 =11500[/tex]
[tex] \mu -3*\sigma = 8500 -3*1500 = 4000[/tex]
[tex] \mu +3*\sigma = 8500 +3*1500 =13000[/tex]
On the figure attached we have the illustration for required showing the percentages and the limits for each case
b) [tex] z= \frac{6000-8500}{1500}= -1.67[/tex]
And using the normal standard table or excel we got:
[tex] P(Z<-1.67) = 0.047[/tex]
Step-by-step explanation:
For this case we have the following properties:
[tex] \mu = 8500, \sigma = 1500[/tex]
Part a
And for this case from the empirical rule we know that within one deviation from the mean we have 68% of the values , within two deviation 95% and within 3 deviations 99.7%. So then we can find the limits like this:
[tex] \mu -\sigma = 8500 -1500 = 7000[/tex]
[tex] \mu +\sigma = 8500 +1500 =10000[/tex]
[tex] \mu -2*\sigma = 8500 -2*1500 = 5500[/tex]
[tex] \mu +2*\sigma = 8500 +2*1500 =11500[/tex]
[tex] \mu -3*\sigma = 8500 -3*1500 = 4000[/tex]
[tex] \mu +3*\sigma = 8500 +3*1500 =13000[/tex]
On the figure attached we have the illustration for required showing the percentages and the limits for each case
Part b
For this case we want to find this probability:
[tex] P(X<6000)[/tex]
We can calculate the number of deviation below the mean with the z score formula given by:
[tex] z = \frac{X -\mu}{\sigma}[/tex]
And replacing we got:
[tex] z= \frac{6000-8500}{1500}= -1.67[/tex]
And using the normal standard table or excel we got:
[tex] P(Z<-1.67) = 0.047[/tex]
If the graph of f(x) = x is shifted up 13 units, what would be the equation of the new graph?
Answer:
f(x) = x + 13
Step-by-step explanation:
f(x) = x
when x = 0, y = 0
f(x) = x + 13
when x = 0, y = 13
2. Find the zeros of the quadratic equation by finding the square root:
x? + 10 = 110.
Answer:
x=10
Step-by-step explanation:
x?+10=110
x?=110-10
x?=100
10^2=100
how are a common denominator and a common multiple alike and diferent
Answer:
To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.
Step-by-step explanation:
Answer:
To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.
Step-by-step explanation:
There are 14math teachers and 26 science teachers at school today. What is the ratio of math teachers to math and science teachers at school?
It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.
Answer: 7: 13
The ratio would be 14: 26, however you are most likely asked to simplify it. Which is why the answer would be 7: 13
I hope this helped! :DD
fourteen less then the product of five and nine in numerical expression
pls help
Answer:
( 5 x 9 ) - 14
Which equals 31
Answer:
31
Step-by-step explanation:
5 x 9- 14 is 31
What are the roots of y = x2 – 3x – 10?
0-3 and -10
-2 and 5
X 2 and -5
3 and 10
Answer:
x = 5 x = -2
Step-by-step explanation:
y = x^2 – 3x – 10
Set the equation equal to zero
0= x^2 – 3x – 10
Factor
What 2 numbers multiply to -10 and add to -3
-5 *2 = -10
-5+2 = -3
0=(x-5) ( x+2)
Using the zero product property
x-5 = 0 x+2 = 0
x = 5 x = -2
Answer:
-2 and 5
Step-by-step explanation:
trust
How many unique ways are there to arrange the letters in the word PRIOR?
Answer:
60
Step-by-step explanation:
Answer:
it is 60
Step-by-step explanation:
Which of the following is a ray as shown in the drawing?
Answer:
DH
Step-by-step explanation:
this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.
help ASAP! giving BRAINLIEST if awnsered correctly!
Answer:
C. (5x + 6) (5x - 6)
Step-by-step explanation:
25 is a perfect square, meaning its two factors are identical (5), and 36 is also a perfect square with two identical factors (6). With this information, we can split the expression below like this:
[tex]25x^2 - 36\\(5x ) (5x )[/tex]
Since 36 is negative, we have to have a positive 6 and a negative 6:
(5x - 6) (5x + 6)
What is the value of x in the equation below? Negative 3 minus (negative 8) minus (negative 2) = x
Answer:7
Step-by-step explanation:
-3-(-8)-(-2)=x
-3+8+2=x
-3+10=x
7=x
x=7
What is the volume of this rectangular prism?
Answer:
8/125 = 0.064
Step-by-step explanation:
(2/5)*(2/5)*(2/5)=8/125
The ratio of sailboats to dinghies in the bay was 5 to 7 If there were 70
sailboats in the bay, how many dinghies were there?
Answer:
98
Step-by-step explanation:
Let the sailboats be s and the dinghies be d.
We have that:
s : d = 5 : 7
In other words:
s / d = 5 / 7
If there are 70 sailboats, this implies that s = 70
=> 70 / d = 5 / 7
=> d = (70 * 7) / 5 = 490 / 5 = 98
There will be 98 dinghies.
The Cortes’ have a monthly combined take-home pay of $3,750. The Cortes’ recorded the following housing expenses for the month of August: $878.65 for mortgage payment; $52.50 for insurance premium; $266.67 for real estate taxes; $94.52 for electricity; $45.03 for telephone service; and $42.65 for water. How much are their housing costs over or under the FHA guidelines?
1 point
$67.52 under
$67.52 over
$2,369.98 under
$2,369.98 over
Answer:
I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)
Step-by-step explanation:
Expenses for August= 878.65 + 52.50 + 266.67 + 94.52 + 45.03 + 42.65
= $1380.02
Income-Expenses= 3750-1380.02= 2369.98
The amounts of money Gillian earned each week from babysitting are $5, 10, $20, $10, $15, $5, $42, $5. How is the mean of the data set affected when the outlier is removed?
Answer:
The mean will increase, after the outlier is removed.
Th The radius of a circle is 7 feet what is the circles?Use 3.14 for pie?
Please help due in 30 min!!!!!!
100 points
Answer:
43.96
Step-by-step explanation:
ok so you use the formula: A= 3.14•r•2 next you plug in your values a=3.14•7•2 3.14•7= 28.98•2=43.96
Answer:
43.96
im dying on the question before that one it says "What issues are you having when it comes to area and circumference" you typed nothing really and here you are asking us whats the circles area lol
Step-by-step explanation:
If ItsAkelia (me) had 1M subs and M00dybear had 1M who had more?
(not real sub count but just asking)
Answer:
If you both have 1M subs then its the same, not one person has more
How many boys are there in an introductory geology course if 360 students are enrolled and there are five boys to every seven girls?
Answer:150 branliest
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
360/(5+7)=30
30*5=150
What are the solutions to the equation (x − 21)2 = 25?
Answer:x=7 x=-3
Step-by-step explanation:
(x-2)^2=25
Take the Square root of both sides
(x-2)=±√(25)
x-2=±5
x=2±5
x=2+5 or x=2-5
x=7 or x=-3
The solution for the given equation is x=26 and x=16.
The given equation is (x − 21)² = 25.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The solution for the given equation can be determined as follows:
(x − 21)² = 25
⇒ (x − 21)=±√25
⇒ (x − 21)=±5
⇒ x=±5+21
⇒ x=5+21 and x=-5+21
⇒ x=26 and x=16
Therefore, the solution for the given equation is x=26 and x=16.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 10 in. The soup can has a diameter of 4 in. and a height of 5 in. How many cans of soup will it take to fill up the pot?
Answer:
28.125 cans
Step-by-step explanation:
Step 1: Determine the Volume of the Pot
Diameter= 15 inches, therefore Radius=15/2=7.5 Inches
Height =10 Inch
Volume of a cylinder =[tex]\pi r^2h[/tex]
Volume of the Pot [tex]=\pi*7.5^2*10=562.5\pi[/tex] cubic inches.
Step 2: Determine the Volume of each can
Diameter= 4 inch, therefore Radius=4/2=2 Inches
Height =5 In.
Volume of a cylinder =[tex]\pi r^2h[/tex]
Volume of one can [tex]=\pi*2^2*5=20\pi[/tex] cubic inches.
Step 3: Divide the Volume of the Pot by the Volume of the can
To obtain the number of cans that will fill the pot, we divide the Volume of the Pot by the Volume of the can.
Volume of the Pot÷Volume of one can
[tex]=562.5\pi \div 20\pi\\=28.125 \:cans[/tex]
Therefore, we conclude that it takes 28.125 cans to fill up the cylindrical pot of soup.
Find the volume of a block of woods
Answer:volume=125 cm^3
Surface area=150 cm^2
Step-by-step explanation:
Part A:
volume=length x width x height
volume=5 x 5 x 5
Volume=125 cm^3
Part B:
Surface area=6x5x5
Surface area=150 cm^2
Please answer this I will give brainliest thank you very much for your help
Answer:
[tex]486yd^2[/tex]
Step-by-step explanation:
Surface area is found by adding all the areas of like shapes.
All of these are the exact same size, so we can just multiply by the number of squares by their area.
So:
[tex]A=6(9)(9)\\A=6(81)\\A=486yd^2[/tex]
The circle graph shows how Spencer spent his money in the month of July.
A circle graph representing Spencers expenses. 27 percent is clothing, 11 percent is Gasoline, 44 percent is Food and 18 percent is Entertainment.
Part A
If Spencer spent a total of $704.00 in the month of July, which is the best estimate for the amount of money he spent on clothing?
$70.00
$140.00
$210.00
$280.00
00:00
Part B
Which is the best estimate for the amount of money he spent on entertainment?
$140.00
$35.00
$105.00
$160.00
Answer:
$190.08
Step-by-step explanation:
Take 27% of the total $704 spent in July:
0.27($704) = $190.08
He spent an estimated $190.08 on clothing in July.
Answer:
Step-by-step explanation:
I THINK 140
Sandy does babysitting in her spare time. She gets $100 advance pay and $10 per hour for babysitting. She wants to earn enough to buy a new Iphone for $450. How many hours she needs to babysit to earn enough money to buy the Iphone?
Answer: 35 hours
Step-by-step explanation: 450-100 because of the advanced pay, then you dived 350 by ten so you get 35 hours
Answer:
Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.
Explanation:
Sandy gets $100 advance pay and $10 per hour for babysitting.
Let x denotes the number of hours then
10x + 100
Sandy wants to buy an Iphone for $450
10x + 100 = 450
Solving the above equation
10x = 450 - 100
10x = 350
x = 350/10
x = 35 hours
Therefore, Sandy needs to babysit for 35 hours to earn enough money to buy an Iphone.
a roll of dimes is 5. if the diameter of a dime is 18 millimeters and the height of each dime is 1.4 millimeters, what is the approximate volume of the roll of dimes?
Answer:
17.8 cm³
Step-by-step explanation:
The radius of the roll is half the diameter, so is 9 mm. The length of the roll of 50 dimes is 1.4·50 mm = 70 mm. With these dimensions, we can use the formula for the volume of a cylinder:
V = πr²h = π(9 mm)²(70 mm) = 5670π mm³ ≈ 17,812.8 mm³
Perhaps a more convenient unit of measure is cm³. Each cm³ is 1000 mm³, so the volume of a roll of dimes is approximately ...
V ≈ 17.8 cm³
The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answer:
(6.2, 8.8).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% ...
By the Empirical Rule, within 1 standard deviation of the mean.
7.5 - 1.3 = 6.2
7.5 + 1.3 = 8.8
So in the format requested
(6.2, 8.8).
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
What is 10000 + 129000
Answer:
the answer would be 139000
Answer:139000
Step-by-step explanation:
Which trig function would be used to solve for x ?
Answer: sin
Step-by-step explanation:
