Answer:
We have 10 sections, we can assume that the probability of hitting each of one of them is the same.
we have 9 grey slices and 1 white slice, then the probability of landing in a grey slice is equal to the number of grey slices divided by the total number of slices:
P(X) = 9/10 = 0.90
The probability of not landing in a grey slice is equal to the probability of landing in the white slice, this is:
P(not X) = 1/10 = 0.10
Also, when you have only two events, you can calculate this as:
P(not X) = 1 - P(X) = 1 - 0.90 = 0.10
is 2.2360679 a rational or irrational number?
Answer:
Rational
Step-by-step explanation:
2.2360679. A rational number is a number that terminate or can be written as a fraction. In this case, the number can be written as 22,360,679/10,000,000.
The number 2.2360679 is a rational number because it can be expressed as the fraction 22360679/10000000. Rational numbers can be written as fractions with integer numerators and denominators (where the denominator is not zero) or terminates.
Explanation:The number 2.2360679 is a rational number. A rational number can be expressed as a fraction, where both numerator and denominator are integers and the denominator is not zero. In this case, 2.2360679 can be written as an approximate fraction rounded to seven decimal places: 22360679/10000000.
On the other hand, an irrational number cannot be expressed as an integer fraction. It continues indefinitely without repeating, such as the number pi. Therefore, 2.2360679 is not an irrational number as it doesn't meet this criterion.
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If a ring is appraised to currently be worth $1875 and was originally purchased for $750 in 2001,
what was the rate of appreciation?
The rate of appreciation of the ring is approximately 6.52% per year.
How to find the rate of appreciation
We shall use the formula for simple interest to find the rate of appreciation:
Rate of appreciation = (Final value - Initial value / Initial value * Number of years) * 100
Given:
Final value = $1875
Initial value = $750
Number of years = 2024 - 2001 = 23 years
Let us plug the values into the formula:
Rate of appreciation = ($1875 - $750 / $750 * 23) *100
Rate of appreciation = $1,125/1,7250 * 100
Rate of appreciation ≈ 0.0652 * 100
Rate of appreciation ≈ 6.52%
Hence, the rate of appreciation of the ring is ≈ 6.52% per year.
The rate of appreciation is 150%.
To find the rate of appreciation, we'll use the formula for simple interest:
[tex]\[ \text{Simple Interest} = \frac{{\text{Final Value} - \text{Initial Value}}}{{\text{Initial Value}}}\times 100 \][/tex]
Given:
Initial value (purchase price) = $750
Final value (appraised price) = $1875
Substitute these values into the formula:
[tex]\[ \text{Simple Interest} = \frac{{1875 - 750}}{{750}} \times 100 \][/tex]
[tex]\[ = \frac{{1125}}{{750}} \times 100 \][/tex]
[tex]\[ = 1.5 \times 100 \][/tex]
[tex]\[ = 150\% \][/tex]
So, the rate of appreciation is 150%.
the length of a box of colored pencils is 6 inches, the width is 4 inches, and the height is 3/8 inch. what is the volume of the box?
Answer:
9cm3
Step-by-step explanation:
6 x 4 x 3/8=9cm3
Answer:
9 cm³
Step-by-step explanation:
V = l x w x h
= 6 x 4 x 3/8
= 24 x 3/8
= 9 cm³
Kurt is flying his airplane over a campground. He spots a small fire below at an angle of depression of 32 degrees. If the horizontal distance from Kurt’s plane to the fire is 3600 feet, find the approximate altitude of his plane.
Answer:
3293 ft to nearest tenth = side
Step-by-step explanation:
To find altitude this is the same in trigonometry as finding the side and we use calculation below in finding the hypotenuse which is same term as side for the angle of depression just to double check that height (altitude is less than slope in calculation).
sin (32) = 0.9271838546
3600/0.9271838546 = 3882.725074
= 3883 ft to nearest tenth. = slope
Then cos (32)x3882.725074 = 3292.737608
= 3293 ft to nearest tenth = side
The plane flying with an angle of depression of 32 degrees to a small fire below has an altitude of 2250 ft.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.
Therefore, the horizontal distance from the kurt's plane to the fire is the adjacent side of the right triangle.
The altitude of the plane is the opposite side of the triangle.
Hence,
tan 32 = opposite / adjacent
tan 32° = h / 3600
cross multiply
h = 3600 tan 32°
h = 3600 × 0.6248693519
h = 2249.52966687
h = 2250 ft
Therefore, the approximate altitude of the plane is 2250 ft.
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Tori's grandmother is five times older than she is. the sum of tori's and her grandmother age is 72. how old is tori
I think this is the answer + working out
x= Tori's age
y= her grandmother's age
x+y=72
5x=y
5x-y=0
x+y=72
+(5x-y=0)
6x=72
72 divided by 6=
x=12
So Tori is 12...
We substitute 12 for x into the first equation...
12+y=72
Bring 12 to the other side
y=72-12
y=60
Her grandmother is 60 and Tori is 12.
Each Saturday, a store reduces the price of any unsold item by
10%. If an item was priced at $80, on Saturday of the first week it
is marked down to $72. At the end of the second week, it drops
to $64.80, and at the end of the third week the price is decreased
to $58.32. If this continues for 10 weeks, what should be the
selling price for an item that was originally priced at $80?
Answer:
8 dollars
Step-by-step explanation:
The required selling price of an item that has originally price $80 is $27.89.
Given that,
Each Saturday, a store reduces the price of any unsold item by 10%.
An item was priced at $80, on Saturday of the first week it is marked down to $72.
At the end of the second week, it drops to $64.80, and at the end of the third week, the price is decreases to $58.32.
This continues for 10 weeks.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
From the given,
The relation is given as,
Selling price = original price [1 - 0.10]ˣ
Substitute the value in the above equation,
selling price = 80 [0.9]¹⁰
The selling price = $27.89
Thus, the required selling price of an item that has an original price $80 is $27.89.
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What is h(x) = –3x2 – 6x + 5 written in vertex form?
h(x) = –3(x + 1)2 + 2
h(x) = –3(x + 1)2 + 8
h(x) = –3(x – 3)2 – 4
h(x) = –3(x – 3)2 + 32
Answer:
B y = − 3 ( x + 1 ) ^2 + 8
Step-by-step explanation:
Hope it helps.
A gift box is 4 inches long, 3 inches wide, and 2 inches high. What is the volume of the gift box
Answer:
24"
Step-by-step explanation:
Volume= length*width*height
4*3= 12
12*2= 24
Final answer:
To find the volume of a gift box, multiply its length, width, and height. For a box with dimensions 4x3x2 inches, the volume is 24 cubic inches.
Explanation:
Volume formula: Volume = length x width x height
Given dimensions: Length = 4 inches, Width = 3 inches, Height = 2 inches
Calculation: Volume = 4 inches x 3 inches x 2 inches = 24 cubic inches
ASAP First to answer all three questions right gets brainlist
Answer:
a) 1/32 = 0.0313
b) 21.2058 cm
c) 19.635 ft2
Step-by-step explanation:
We have a total of 8 different areas in the circle.
a) The yellow area are 2 parts of a total of 8, so the probability is 2/8 = 1/4
The number 4 is one area of a total of 8, so the probability is 1/8
So the probability of landing on a yellow and then a 4 is (1/4)*(1/8) = 1/32 = 0.0313
b) The blue area is 3 parts over 8, so we can solve this using rule of three:
Total circunference -> pi*d = 18pi cm
3/8 of the circunference -> x
x = (3/8) * 18pi = 21.2058 cm
c) The purple sections are 2 parts over 8, so following the same logic as letter b), we have:
Total area -> pi*r^2 = 25pi ft2
2/8 of the area -> x
x = (2/8) * 25pi = 19.635 ft2
PLEASE PLEASE PLEASE The graph of g(x), shown below, resembles the graph of f(x) = x^4-x^2 but it has been changed somewhat. Which of the following could be the equation
of g(x)?
Step-by-step explanation:
The equation of the given graph for the function g(x) is [tex]f(x) = x^4 - x^2 -2[/tex]. so option D is correct. The graph of f(x) is shifted down by a factor of 2 on the y-axis.
How to shift the graph vertically up or down?To shift the graph upwards vertically, add a factor(according to the shift) to the y-coordinate.To shift the graph downwards vertically, subtract a factor(according to the shift) from the y-coordinate.How the given graph is shifted?The given graph [tex]f(x)=x^4 -x^2[/tex] is shifted downwards on the y-axis.
And named g(x)
The shift in the y-axis is by 2 units
So,
g(x) = f(x) - 2
= [tex]x^4-x^2-2[/tex]
Therefore, the equation of the given graph when shifted is [tex]g(x)=x^4-x^2-2[/tex]
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Please answer quicky!!
A ____________ is sometimes a rhombus
1. parallelogram
2. rectangle
3. square
4. trapezoid
Answer:
The answer is 1. parallelogram
Step-by-step explanation:
There's a fact said that a rhombus is just a special paralleogram.
=> So that's means the answer is 1. parallelogram
In circle O, if LP congruent LK, find the measurement of the major arc PNK. A. 112 B.156 C.224 D.248
Answer:
1,5/5=279,3
Step-by-step explanation:
Your family plays a money game where the first person chosen wins $1, the second person chosen wins $5, the third person chosen wins $10, and the fourth person chosen wins $50. Since you won the $50 prize during the last game, you are in charge of the choosing this time (so you cannot win). How many different winning scenarios are possible in this play of the money game?
Final answer:
There are 24 different winning scenarios possible in the family money game, calculated using permutations since the person in charge of choosing cannot win and there are three distinct prizes to be distributed among four participants.
Explanation:
The family money game presents a probability problem where one must calculate the number of different winning scenarios. Since there are five people including you, and you cannot win because you are the one choosing, you only need to consider the remaining four participants. Each person can win one of the three prizes - $1, $5 or $10 - since you won the $50 prize last time and you are exempt from winning again.
We need to look at the number of ways to arrange three distinct prizes among four people. This can be calculated using permutations where the order of assignment is important.
The formula for permutations is given as P(n, k) = n! / (n-k)!, where n is the total number, and k is the number to choose. In this case, n=4 (people) and k=3 (prizes). Hence, the calculation for permutations would be P(4, 3) = 4! / (4-3)! = (4 x 3 x 2 x 1) / 1 = 24.
Therefore, there are 24 different winning scenarios possible in this play of the money game.
PLS DO THIS AS QUICK AS POSSIBLE
a)2.15a+0.03∙(3.4a−12a)
b)3.27x+1.28y+1.83x−2.77y
1)22.5x−4.6=3.5
2)y÷2.3+5.69=7.58
WORD PROBLEM: Car A went 60 km in 5/6 hours while car B went 54 km in 2/3 hours. Which car was faster? How many times faster?
Car __ went faster by __ times
Answer:
a) 1.892a
b.) 5.1x - 1.49y
1.) X = 0.36
2.) Y = 4.347
Car B went faster by 1.25 times
Step-by-step explanation:
a)2.15a+0.03∙(3.4a−12a)
Open the bracket
2.15a + 0.102a - 0.36a
2.252a - 0.36a
1.892a
b)3.27x+1.28y+1.83x−2.77y
Rearranged the algebraic expression above
3.27x + 1.83x + 1.28y - 2.77y
5.1x - 1.49y
1)22.5x−4.6=3.5
Collect the like term
22.5x = 8.1
X = 0.36
2)y÷2.3+5.69=7.58
Y/2.3 = 7.58 - 5.69
Y = 2.3 × 1.89
Y = 4.347
WORD PROBLEM: Car A went 60 km in 5/6 hours while car B went 54 km in 2/3 hours.
Which car was faster?
That's speed
Speed = distance/time
Speed A = 60 ÷ 5/6 = 72 km/h
Speed B = 54 ÷ 2/3 = 81 km/h
How many times faster?
5/6 ÷2/3
5/6 × 3/2
15/12
1.25 seconds faster
find the length of the third side to the nearest tenth
Answer:
10
1 + 100 = 101
101 is between 10 and 11
10.04987
Step-by-step explanation:
Identify the percent of change as an increase or a decrease.
24 songs to 78 songs
Answer:
225% increase
Step-by-step explanation:
Since the number went up from 24 to 78 this is an increase
To find out how much
(78- 24)/24 =2.25 * 100% =225% increase
The percent of change from 24 songs to 78 songs is a 225% increase.
To identify the percent of change from 24 songs to 78 songs, follow these steps:
Find the difference: Subtract the original number of songs from the new number of songs.Calculate the percent change: Divide the difference by the original number and then multiply by 100.Determine if it is an increase or decrease: Since the number of songs increased from 24 to 78, this is a 225% Increase.Therefore, the percent of change from 24 songs to 78 songs is a 225% increase.
Please help will mark brainliest
Answer:
26% of people from city B work less than 20 hours
Answer:
26%
Step-by-step explanation:
Look at the row for city B, first column is for "less than 20"
Use the order of operations to simplify this expression. 10.52 - 4.6 × 1.9 7.82 1.78 2.22 11.248
Time (in years)
Dan bought a new computer for $900. Each year, the value of
the computer decreased by 25% of the previous year's value. At
this rate, what can Dan expect the approximate value of the
computer to be after 8 years?
A
$84
B
$90
C
$100
D
$113
Answer:
B) $90
Step-by-step explanation:
To work out the value of the computer after 8 years you would first have to convert the percentage into a decimal. To achieve this you would divide the percentage of 25 by 100, which gives you 0.25. This is because percentages are out of 100. The next step is to minus 0.25 from 1, which gives you 0.75. This is because the value of the computer is diminishing. Then you would multiply 900 by 0.75 to the power of 8, which gives you 90. You would multiply to the power of 8 as the percentage decrease will need to take place 8 times due to it being annual.
1) Divide 25 by 100.
[tex]25/100=0.25[/tex]
2) Minus 0.25 from 1.
[tex]1-0.25=0.75[/tex]
3) Multiply 900 by 0.75 by the power of 8.
[tex]900*0.75^{8} =90.1[/tex]
4) Round to the nearest whole number.
90
Final answer:
Using the exponential decay formula, the value of Dan's computer after 8 years, with a 25% annual decline, is approximately $90, corresponding to option B.
Explanation:
The question asks about the depreciation of the value of a computer over time. To calculate the approximate value of Dan's computer after 8 years, with a 25% annual decrease in value, we can use the formula for exponential decay - V = P(1 - r)^t, where V is the final value, P is the initial value, r is the rate of decay, and t is the time in years.
The annual rate of decay, r, is 25% or 0.25.
The time in years, t, is 8 years.
Substituting these values into the formula gives us:
V = 900 (1 - 0.25)^8 = 900 (0.75)^8 = 900 * 0.10011291504 ≈ $90.10
After rounding, Dan can expect the approximate value of the computer to be about $90 after 8 years, which corresponds to option B.
which of the following data would best be displayed on a scatter plot to show a definite positive or negative correlation?
answers :
A. Favorite Ice cream flavors and the age of the people who chose them
B. Growth of marigolds and the amount of fertilizer fed to the plants
C. Daily temperatures in Raleigh
D. Number of babies born at several different hospitals
Answer:
╱▔▔▔▔▔▔▔▔▔▔▔▏
┈╱╭▏╮╭┻┻╮╭┻┻╮╭▏
▕╮╰▏╯┃╭╮┃┃╭╮┃╰▏
▕╯┈▏┈┗┻┻┛┗┻┻┻╮▏
▕╭╮▏╮┈┈┈┈┏━━━╯▏
▕╰╯▏╯╰┳┳┳┳┳┳╯╭▏
▕┈╭▏╭╮┃┗┛┗┛┃┈╰▏
▕┈╰▏╰╯╰━━━━╯┈┈▏
Step-by-step explanation:
write each number in a scientific notation
example: 2.500 = 2.5 x 10 to the power of 3
1. 300
2. 47,300
3. 24
4. 14,565
5. 7,001
6. 19,050,000
7. 33
Step-by-step explanation:
[tex]300 = 3 \times {10}^{2} \\ 47300 = 4.73 \times {10}^{4} \\ 24 = 2.4 \times {10}^{1} \\ 14565 = 1.4565 \times {10}^{4} \\ 7001 = 7.001 \times {10}^{3} \\ 19050000 = 1.905 \times {10}^{7} \\ [/tex]
PLEASE PLEASE HELP ME!!! THIS IS DUE IN 4 MINUTES PLEASEEEEEE!!What is the area, in square inches, of the figure shown here? A parallelogram with a height of 4inches is shown. The height of the parallelogram is used to divide the side of the parallelogram into 5 inches, which is the length (or side) of the rectangle, and into 4 inches, which is the base of the triangle formed by the division.
20 in2
24 in2
32 in2
36 in2
the answer is 24in its easy
URGENT PLEASE Solve the equation using the quadratic formula. 3x^2 - 18 = -6
Answer:
x = 2 and x = -2
Step-by-step explanation:
The quadratic formula of a quadratic of the form ax² + bx + c is:
x = [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or x = [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
Here, our equation is: 3x² - 18 = -6. Let's move all the terms to one side:
3x² - 12 = 0
a = 3 and c = -12. Notice that since there's no x term, b = 0.
Plug these into the quadratic formula:
x = [tex]\frac{0+\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{\sqrt{144} }{6}=12/6=2[/tex]
or
x = [tex]\frac{0-\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{-\sqrt{144} }{6}=-12/6=-2[/tex]
So, x = 2 and x = -2.
Answer: x = -2, x = 2
Step-by-step explanation:
The quadratic formula:
[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a} \\\\AND\\\\x = \frac{-b-\sqrt{b^2-4ac} }{2a} \\[/tex]
You can find the variables a, b, and c in the standard form of a quadratic equation:
[tex]f(x)=ax^2 + bx+c[/tex]
Your equation:
[tex]f(x)=3x^2 + 0x -12[/tex]
The variables are:
a = 3
b = 0
c = -12
Substitute those for the variables in the quadratic formula:
[tex]x=\frac{-0+\sqrt{0-(4*3*-12)}}{2(3)} \\\\AND\\\\x=\frac{-0-\sqrt{0-(4*3*-12)}}{2(3)} \\[/tex]
You can simplify this to get:
[tex]x=\frac{-\sqrt{144}}{6} \\[/tex]
(or positive square root of 144.)
The square root of 144 is 12, and 12/6 = 2.
The x-values are -2 and 2.
natalie read 10 books in 5 months. what was her rate of reading in books per month?
Answer:
2 books per month.
Step-by-step explanation:
For this, you will simply need to divide the total number of books by the amount of months.
10÷5= 2 books per month.
Natalie read two books for five months.
Divide.
Ten books divided by 5 months.
Find the answer. You get 2.
10 ÷ 5 = 2.
So, her rate of reading books per month was 2.
Hope this helps!
5⁸
– = 5ⁿ
5⁴
work out the value of n.
Answer:
5 power 2 is the answer
Step-by-step explanation:
What is the measure of ∠R ? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. m∠R= ° A right triangle R S T. Angle S is marked as a right angle. Side R T is labeled as 40 centimeters. Side S T is labeled as 30 centimeters.
We have been given that in triangle RST, angle S is marked as a right angle. Side RT is labeled as 40 centimeters. Side ST is labeled as 30 centimeters. We are asked to find the measure of angle R.
First of all, we will draw a right triangle using our given information as shown in the attachment.
We can see that RT is hypotenuse and St is opposite side to angle R. We know that sine relates opposite side to hypotenuse of right triangle.
[tex]\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
[tex]\text{sin}(\angle R)=\frac{ST}{RT}[/tex]
[tex]\text{sin}(\angle R)=\frac{30}{40}[/tex]
[tex]\text{sin}(\angle R)=\frac{3}{4}[/tex]
Now, we will use arcsin to solve for angle R as:
[tex]\angle R=\text{sin}^{-1}(\frac{3}{4})[/tex]
[tex]\angle R=48.59037789[/tex]
Upon rounding to nearest hundredth, we will get:
[tex]\angle R\approx 48.59[/tex]
Therefore, the measure of angle R is approximately 48.59 degrees.
Answer:
48.59
Step-by-step explanation:
Just took the test!!
Which of the following probabilities is equal to approximately 0.2957? Use the portion of the standard normal table below to
help answer the question.
0.00
0.25
0.50
0.75
1.00
Probability
0.5000
0.5987
0.6915
0.7734
0.8413
0.8944
0.9332
0.9599
1.25
1.50
1.75
P(-1.25 sz 50.25)
P(-1.25 5250 75)
P(O 25 sz 51.25)
P(O 75 525 125)
Answer:
c
or
P (0.25 less-than-or-equal-to z less-than-or-equal-to 1.25)
Step-by-step explanation:
What set of reflections would carry rectangle ABCD onto itself?
Answer:
D) y=x, x-axis, y=x, y-axis.
Step-by-step explanation:
hope it helps :3
Reflection over the line y = x => (a,b) → (b,a)Reflection over the x-axis => (b,a) → (b,-a)Reflection over the line y = x => (b,-a) → (-a,b)Reflection over the y-axis => (-a,b) → (a,b).
Consider the sequence: 7, 64, 121, 178, 235, ... where u, = 7
a.
State whether it is arithmetic or geometric. Show how you know.
Answer:
It is an arithmetic sequence.
Step-by-step explanation:
64 - 7 = 57
121 - 64 = 57
178 - 121 = 57
We have a common difference of 57, so it is arithmetic.
The explicit formula for the nth term
= 7 +57(n - 1).
Two consecutive, odd integers have the property that when the smaller is add to twice the larger, the sum is 43. Find an equation that could be used to determine the smaller integer represents by the variable n.
Final answer:
To find two consecutive odd integers where the sum of the smaller integer and twice the larger is 43, we use the equation n + 2(n + 2) = 43, which simplifies to n = 13, identifying the smaller integer as 13.
Explanation:
The student is asking for an equation to solve for two consecutive odd integers such that when the smaller is added to twice the larger, their sum is equal to 43. Let's define the smaller integer as n, and since they are consecutive odd integers, the next integer would be n + 2. The equation that represents this situation is:
n + 2(n + 2) = 43
This equation can be simplified:
n + 2n + 4 = 43
Combining like terms, we get:
3n + 4 = 43
To solve for n, subtract 4 from both sides:
3n = 39
Then, divide by 3:
n = 13
Therefore, the smaller integer is 13.