SOLUTION
Notice that the total number of marbles are
\(12+24+14=50\)The probability of not grey means it could be white or black
Hence
P(not grey) = P(white or black)
Since there are 12 whites and 14 blacks the the P(white or black) is
\(\begin{gathered} P(WorB)=\frac{12}{50}+\frac{14}{50} \\ P(WorB)=\frac{26}{50} \\ P(WorB)=\frac{13}{25} \end{gathered}\)Therefore the P(not gray) is:
\(P(not\text{ gray\rparen=}\frac{13}{25}\)prove the divisibility rule by three, which states that a number is divisible by 3 if and only if the sum of its digits is divisible by 3.
The divisibility rule for 3 on any integer number is proven in the detailed explanation of the solution.
Given a non-decimal number, n.
Suppose n may be divided by 3.
n should be thought of in terms of its digits as
n = d × 1 × 10⁽ⁿ⁻¹⁾⁽ⁿ⁻¹⁾ + d × 2 × 10⁽ⁿ⁻²⁾ + ... + d × m × 10⁰
where d 1, d 2,..., d m are its digits and m is the number of digits in n.
The result of the preceding equation with n = 3k is
3k = d × 1 × 10(m-1) + d × 2 × 10(m-2) +... + d × m × 10(m-0)
3000 is subtracted from both sides of the equation, giving us
0 = d × 1 × 10⁽ⁿ⁻¹⁾⁽ⁿ⁻¹⁾ + d × 2 × 10⁽ⁿ⁻²⁾ + ... + d × m × 10⁰
We obtain by adding 3k to both sides of the equation.
3k = d × 1 × 10⁽ⁿ⁻¹⁾+ d
The divisibility rule is a heuristic for determining if two positive integers can be divided evenly (i.e. there is no remainder left over). For instance, determining if a number's last digit is 2, 4, 6, 8, or 0 makes it simple to determine whether it is even.
By examining the digits of the number, a divisibility rule provides a simple shorthand for determining if an integer is divisible by a particular set of factors without actually doing the division. This page only offers recommendations and examples for decimal, or base 10, numbers despite the fact that there are distinct divisibility tests for numbers in each radix or basis.
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Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
carol rolled a dice 150 times she rolled a six 39 time
Answer:
nice
Step-by-step explanation:
whats the rest of the problem or is it just that she rolled a dice
The Singh family ordered a large pizza with a diameter of 16 inches for dinner. If one of the members of the family ate one eighth of the pizza, how many square inches of pizza are remaining? Use 3.14 for π.
A. 200.96 square inches
B. 175.84 square inches
C. 100.48 square inches
D. 25.12 square inches
Answer:
B. 175.84 square inches
Step-by-step explanation:
3.14 x 64= 200.96
200.96 / 8 = 25.12
25.12 x 7 = 175.84
A sector of a circle has an area of 20 square feet. Find the central angle which forms the sector if the radius is 5 feet. The central angle of the sector isradians. (Type an integer or a simplified fraction.)
The area of a sector of a circle is equal to the central angle multiplied by the radius squared, divided by 2. In this case, the sector of the circle has an area of 20 square feet, the radius is 5 feet, and we need to find the central angle.
The central angle will be 6.28 radians.
To find the central angle, we can rearrange the equation to solve for the angle:
Central Angle = (2 * Area) / (Radius^2)
Substituting the given values, we get:
Central Angle = (2 * 20) / (5^2)
Simplifying, we find that the Central Angle equals 6.28 radians.
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Answer idhfbfhfnffdvdbbdbdd
Solve the following inequality then place the correct answer in the box provided 8x-1<15
Answer:
x < 2
Step-by-step explanation:
8x -1 < 15
Add both side by 1 : 8x < 16
x < 16/8 => x < 2
12 km
9.9 km
7 km
12 km
Find the perimeter of the shape below
Answer: 40.9
Step-by-step explanation:
I got this by adding all the numbers up because that’s what you do you add up all the sides for perimeter
Is an acute triangle less than 90 degrees?
Yes, an acute triangle less than 90 degrees
what is acute triangle?
An acute angled triangle is one in which all of the angles are fewer than 90 degrees. One such illustration of an acute angled triangle is the one below.
Hence the triangle less than 90 degrees is acute angle
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Find x in the diagram below
The value of the angle x is 30 degrees
How to determine the valueTo determine the value of the variable x, we need to know the triangle sum theorem.
The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.
We should also note that angle at right angle is 90 degrees
Then, we have the angles written as;
90 degrees
2x degrees
x degrees
Equate the angles , we have;
2x + x + 90 = 180
collect the like terms, we have;
2x + x = 180 - 90
add or subtract the like terms, we have;
3x = 90
divide by the coefficient
x = 30
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I just need the answer for C. Please answer quick this is due tmr morning!! worth 20 points and brainliest
Answer:
The answer is 7 for C.
Step-by-step explanation:
7+7=14 and 7x7=49
The diamond just asks for numbers that make up a pattern for the two given numbers.
13 pounds of bananas cost $26. How many poundscan you get with $22?
$26 = 13 pounds
So,
26/13 = 2 dollar per pound
So, for 22 dollars, you can get:
22/2 = 11 pounds
х
У
о
12
1
8
N
4
3
о
4
4
Answer:
13
Step-by-step explanation:
Sorry im in 5th grade.
9hr. 8min+ 6hr. 42min.+ 8hr. 39min.
Step-by-step explanation:
24 hours and 29 minutes
HELPPPPPPPP DUE TODAYYYY!!!!!!!!!!!!! WORTH 30 POINTS!!!!!!!!!
Answer:
4.5
Step-by-step explanation:
you want to reach $3,000 in savings over four years your account will earn 10% interest per year how much must you save each month
You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.
To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate, we can use the PMT (Payment) function.
The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.
Let's break down the given information:
Present Value (PV): $0.00 (initial account balance)
Future Value (FV): $3,000.00 (savings goal)
Interest Rate (rate): 10% per year (annual interest rate)
Number of Periods (nper): 4 years (48 months)
Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).
The formula for the PMT function is:
PMT(rate, nper, pv, [fv], [type])
Where:
rate = Interest rate per period
nper = Total number of periods
pv = Present value (initial account balance)
fv = Future value (savings goal)
type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.
We'll assume 0 for monthly savings.
Let's calculate the monthly savings using the PMT function:
PMT(10%/12, 4*12, 0, -3000, 0)
Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).
Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.
Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.
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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.
Students raised $88 for charities. Their principal gave $35 to charity A and
the rest to charity B. What is the ratio of money given to charity A to the
money given to charity B?
35:53
35: 88
53:35
88:35
The gym has 15 basketballs and 40 footballs. what is the simplified ratio of basketballs to footballs?
15:40
10:40
3:8
8:3
Answer:
35:53
3:8
Step-by-step explanation:
The difference of a number and 8.
The difference of an unknown number and eight means subtracting. An unknown number can be represented by a variable like x.
x - 8
divided by 10.
x - 8
____
10
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
I need this done because i really do not want to fail
Answer:
Step-by-step explanation:
it is 77.6
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
39
Step-by-step explanation:
-13x-1x3 = 13x3 = 39
Answer:
Given that, w = -13, x = -1, y = 3
\(→wxy = ( - 13)( - 1)(3) = \boxed{ 39}✓\)
wxy=39 is the right answer.DON'T SOLVE IT
I know the answer. I just need to know the TOPIC in geometry.
What is the topic???
Answer:
Triangles in Geometry
Step-by-step explanation:
A tree is 34.65 feet tall. What is its height in meters? Use the following conversion: 1 meter is 3.3 feet.
Answer:
34.65 / 3.3 = 10.5
Step-by-step explanation:
Answer:
10.5 meters
Step-by-step explanation:
1 meter = 3.3 feet.
1 feet = 1/3.3 meters
then, 34.65/3.3 = 10.5 meters
whats the answer for log b + z log c in condense form
Answer:
log b.c^z
Step-by-step explanation:
from the theorem a log b=log b^a
z log c= log c^z
from the theorem log a + log b= log ab
log b+ log c^z= logb. c^z will be the final answer
Is this function? Please help
Answer:
Its a funcion if "x" doesnt repeat
Step-by-step explanation:
can someone pls help answer this
Answer:
Small: 7
Large:13
Step-by-step explanation:
I worked it out, hope this helps
Answer:
Answer:
Small: 7
Large:13
Step-by-step explanation:
I worked it out, hope this helps
A gumball machine has 100 red gumballs. If the red gumballs are 25% of the total number of gumballs, how many gumballs are in the gumball machine?
Answer: 400
Step-by-step explanation:
25% is equal to one quarter (1/4). If theres 100 red gumballs then there must be 300 more gumballs in the machine because a quarter of a number is always even.
Claire created a pie chart to show how she spent her time on Monday. She spent 8 hours at school, 4 hours playing basketball, 2 hours doing homework, 8 hours sleeping, and 2 hours doing chores. Which statements describe how the pie chart will look? Select four options..
The pie chart will show that Claire spent about 33.3% of her time sleeping.
The pie chart will have five sections.
The pie chart will contain one section that represents 50% of her time.
Twenty-four hours will be equivalent to 100% in the pie chart.
The pie chart will have two sections that are each equal to one-third of the pie chart.
Answer:
Step-by-step explanation:
The pie chart will show that Claire spent about 33.3% of her time sleeping.
Pie chart will show that Claire spent about 33.3% of her time sleeping, The pie chart will have five sections, Twenty-four hours will be equivalent to 100% in the pie chart.
What is pie chart?The "pie chart," which divides the circular statistical graphic into sectors or sections to illustrate the numerical problems, is also known as a "circle chart." A proportionate portion of the total is denoted by each sector. At that point, the pie chart is the most effective method for determining something's composition.
Given 24 hours schedule of Clair in which,
school time is 8 hours, playing time is 4 hours, homework time is 2 hours, sleeping time is 8 hours and chores time is 2 hours.
if we calculate total time in percentage than 24 hours will be equal to 100%
and their will be 5 sections in chart,
equivalent time for school in percent is 100/24 x 8 =33.33%
equivalent time for sleeping in percent is 100/24 x 8 =33.33%
equivalent time for homework in percent is 100/24 x 2 = 8.33%
equivalent time for chores in percent is 100/24 x 2 = 8.33%
equivalent time for playing in percent is 100/24 x 4 = 16.66%
Hence the pie chart will have 5 sections and sleeping time will be 33.33%.
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Pls help me on this question
Answer:
Yes.
Step-by-step explanation:
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?