The likelihood that a green marble from jar A will be drawn out of it is 0.105.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of occurrences that follow a probability distribution.
Here,
For jar A,
Total Marbles=10
Number of green marbles=7
Number of blue of marbles=3
For jar B,
Total Marbles=10
Number of green marbles=3
Number of blue of marbles=7
Probability of choosing jar A=15/100
Probability of choosing jar B=85/100
Probability that a marble is drawn out of it is the marble is green that came from jar a= 15/100*7/10
=105/1000
=0.105
Probability that a marble is drawn out of it is the marble is green that came from jar A is 0.105.
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the average gas mileage of a certain model car is 30.0 miles per gallon. if the gas mileages are normally distributed with a standard deviation of 0.75 miles per gallon, find the probability that a car has a gas mileage of between 29.8 and 30.2 miles per gallon.
By using normal distribution, it is obtained that the probability that a car has a gas mileage of between 29.8 and 30.2 miles per gallon is 0.2128
What is normal distribution?
Normal distribution is a continuous type probability distribution whose probability density function is
[tex]\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{z^2}{2}[/tex]
where, z = [tex]\frac{x - \mu}{\sigma}[/tex]
[tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation
For x = 29.8, z = [tex]\frac{29.8-30}{0.75}[/tex] = -0.27
For x = 30.2, z = [tex]\frac{30.2-30}{0.75}[/tex] = 0.27
so, P(29.8 < x < 30.2) = P(-0.27 < z < 0.27)
= 2 [tex]\times[/tex] P(z < 0.27)
= 2 [tex]\times[/tex] 0.1064
= 0.2128
Probability that a car has a gas mileage of between 29.8 and 30.2 miles per gallon is 0.2128
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Look at the time on the clock below. Select all of the ways to write this time.
A clock shows the hour hand between 6 and 7 and the minute hand at 10.
A.
10 minutes before 7
B.
40 minutes after 6
C.
6:40
D.
50 minutes after 6
E.
6:50
All of the ways to write this time are:
.A.
10 minutes before 7
.D.
50 minutes after 6
.E.
6:50
What is a Clock?
This is a device or timepiece used to tell or measure time. It is a 24-hour measurement instrument. it reads in am(the morning time) and pm (afternoon/night time).
The morning time starts at the midnight (1 am) and ends in the mid-day(12 noon). The afternoon time starts mid-day (1 pm) and ends at the midnight(12 midnight).
Hence, 12mid night -11 in the morning is designated am. 12 noon- 11 pm in the night is designated pm.
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in the previous example, the mean of birth weights for individual babies in the population is 3,500 grams. what is the mean birth weight for the sampling distribution for samples of 100 babies? group of answer choices 35 350 3,500
If we take any sample from population the mean of sample is approximately population mean always sample mean of 100 babies is 3500.
What are statistics?Statistics is a science concerned with developing and studying methods of collecting, analyzing, interpreting, and presenting empirical data. Statistical research is applicable to virtually all scientific disciplines, and research challenges in various scientific disciplines motivate the development of new statistical methods and theories. Statisticians use a variety of mathematical and computational tools to develop methods and study the theory behind methods. His two basic ideas in the field of statistics are uncertainty and variability. Science (or life in general) often encounters situations where the outcome is uncertain.
CalculationSample mean is unbiased estimator of population mean.
so , if we take any sample from population the mean of sample is approximately population mean always.
therefore, sample mean of 100 babies is 3500.
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a circular mirror is surrounded by a square frame. the radius of the mirror is 7x. the side length of the metal frame is 21x. what is the area of the metal frame? write your answer in factored form.
Answer:
Why does each perfect square have two square roots?
Step-by-step explanation:
Why does each perfect square have two square roots?
The oranges at the grocery store went from $0.75/ib to $ 0.90/ib what is the percent increase in the cost of oranges
The percentage increase in the cost of oranges is 20%
What is meant by percentage?A % is a quantity or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviation "pct.", "pct.", and occasionally "pc" are also used to indicate it, but the percent sign, "%," is more frequently employed. There is no unit of measurement for a %; it is a dimensionless number (pure number).
The symbol for "%" developed from the progressive reduction of the Italian term per cento, which means "for a hundred." It finally vanished totally. The word "per" was frequently shortened to "p." Two circles and a horizontal line made up the "cento," which is how the contemporary "%" symbol is now represented.
Given that the oranges at the grocery store went from $0.75/ib to $ 0.90/ib
=(0.90-0.75)/0.75
=0.15/0.75
=0.2
% increase= 0.2*100
=20%
Therefore, the percentage increase in the cost of oranges is 20%
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Simplify the ratio.
3-5\4-1
The ratio (3 - 5)/(4 - 1) in the simplified form is -2/3.
What are ratios?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Ratios can be divided into two categories. The part-to-whole ratio is one, and the part-to-part ratio is another. The part-to-part ratio illustrates the relationship between two separate entities or groupings.
Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.
The given ratio is
(3 - 5)/ (4 - 1)
When we subtract a bigger number from a smaller number, we subtract the small number from the bigger one and put the sign before the result the sign of the bigger number. So,
= - 2 / 3
So, the simplified form of (3 - 5)/ (4 - 1) is -2/3.
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What is the sum of (x - 8x² - 15) and (2 + 12x - 3x²)?
A -5x² - 11x - 17
B -112² + 13x - 13
C 11r2 + 11x - 17
D 2x² + 4x - 18
Answer:
-11[tex]x^{2}[/tex] + 13x- 13
Step-by-step explanation:
(x - 8x² - 15) + (2 + 12x - 3x²)
(x + 12x) + (- 8x² - 3x²) + (- 15 + 2) [Combine like terms]
-11[tex]x^{2}[/tex] + 13x- 13
Divide 24 in the ratio 1:3
Answer: So the division between two persons is 1/6 and 1/2.
Step by step: First Person = 1*4/24= 4/24 = 1/6 (0.16)
Second Person = 3*4/24 = 12/24= 1/2 (0.5)
Answer: the division between two persons is 1/6 & 1/2.
Step-by-step explanation:
Just divide
Which of the following is equivalent to 5a^3+4a^3
Answer:
9a³
Step-by-step explanation:
Like terms have the same variable parts and can be added and subtracted.
5a³ + 4a³ = 9a³
After simplifying the expression 5a³ + 4a³, we get (5+4) a³. The correct answer is c)
To simplify the expression 5a³ + 4a³, we can combine the like terms, which means adding the coefficients of the same variable with the same exponent.
In this case, both terms have the variable "a" raised to the power of 3. Therefore, we can add the coefficients 5 and 4:
5a³ + 4a³ = (5 + 4) a³
Simplifying further:
5a³ + 4a³ = 9a³
So, the expression 5a³ + 4a³ is equivalent to 9a³. This means that the correct answer is c) (5+4) a³, which represents the simplified form of the expression. The other options, a), b), and d), do not correctly simplify the expression or represent an equivalent form.
The correct answer is c)
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Complete question is:
Which of the following is equivalent to 5a³+4a³?
a) (5+4) a³⁺³
b) (5.4) a³
c) (5+4) a³
d) (5.4) a³⁺³
Giving out Brainliest!!!
Blake was a little concerned as he stood in the middle of the overcrowded elevator. The sign clearly stated that the total weight in the elevator had a maximum capacity of 2,500 pounds.
Write an inequality to show the weight limit for the elevator.
w ≤ 2,500
w ≥ 2,500
w < 2,500
w > 2,500
The inequality that shows the maximum weight capacity of the elevator is w≤ 2500
InequalityInequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.
To represent the weight limit for the elevator using inequality, we can write it out as
w = weightw ≤ 2500
This shows that the weight must not exceed 2500 pounds
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Factor completely.
x² − 8x+16
(-4)²
(z+4)²
2(z + 2)?
2(x - 2)²
Answer:
(x-4)^2 [I assume the (z+4)² option was mistyped. Who wants zzzzzzzzz?]
Step-by-step explanation:
x² − 8x+16
Lok for a pattern that would allow us to fill in the missing numbers in
(x+a)*(x+b)
We know that a and b must equal +16 when multiplied together. We also know their sum must be -8.
a*b = 16
a+b = -8
Is there anything that ties these numbers together? The number 4 comes to mind: 8 and 16 are known to be friendly to 4. We need the sum to be -8, so lets make the 4 negative and put it into both expressions.
(-4)+(-4) = -8 YES
(-4)*(-4) = 16 YES
Assinging -4 to both a and b produces the factored expression:
(x-4)*(x-4) = x² − 8x+16 YES
Explore
A 100-unit-long line is split in half.
Half of the line is used to form one large circle.
The other half forms two identical smaller circles.
Which is larger?
The circle with radius=7.95 is larger when a 100-unit long line is split in half.
What is meant by circle?A circle is a shape produced by all points in a plane that are a certain distance from the center. It is the curve drawn by a point traveling in a plane so that its distance from a specified point remains constant. The radius is the distance between any two points on a circle and the center. Typically, the radius must be positive. A degenerate instance is a circle with radius r=0. Except when otherwise noted, this article is about circles in Euclidean geometry, specifically the Euclidean plane.
A circle, in instance, is a fundamental closed curve that divides the plane into two regions: interior and exterior.
The perimeter of larger circle is 50 units
Therefore, 2πr=50
Radius=7.95
The perimeter of smaller circle is 25 units
Therefore, 2πr=35
Radius=3.97
The circle with radius=7.95 is larger.
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What is the area?
2 mi
square miles
1 might
Answer:640 sq miles
Step-by-step explanation:
The driving time for an individual from his home to his work is uniformly distributed between 300 to 480 seconds.
A. Determine the probability density function.
B. Compute the probability that the driving time will be less than or equal to 435 seconds.
C. Determine the expected driving time.
D. Compute the variance.
E. Compute the standard deviation.
The probability density function is P(x) = 0 for x < 300 or x >480.
A probability density function, also known as the density of a continuous random variable, is a function whose value can be interpreted as providing a relative likelihood that the value of the random variable would be close to that sample in the sample space at any given sample in the sample space.
A. the probability density function will be 1/(480-300) = 1/180 for 300=x=480
thus, P(x) = 0 for x < 300 or x >480
B. the probability that the driving time will be less than or equal to 435 seconds is given by,
P(x= 435) = (1/180)(435-300) = 135/180 = 0.75.
C. the expected driving time will be the mean of intervals,
(300 + 480)/2 = 390
D. variance will be computed as (1/12)(480-300)² = 2700
E. standard deviation is calculated as √2700 = 51.96
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What is the solution of |x – 1| = –8?
no solution
x = –8 or x = 8
x = –7 or x = 9
x = –9 or x = 7
please answer quick its for a test
Answer:
No solution
Step-by-step explanation:
When it comes to absolute value, the answer cannot be negative.
|-8-1|
|-9| = 9
The general equation for depreciation is given by y=a(1-r)^t where y=current value.
With the help of the given equation, we know that the automobile is worth $12528.15 after four years.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.a formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2. In the above example, the variable x exists.So, the equation of depreciation: y = A(1 - r)∧t
The current value is y.
A is the initial cost.
r is the depreciation rate.
t is the time in years, and
In four years, we must ascertain the present value.
Now,
y = $24000(1 - 0.15)⁴
y = 24000(0.85)⁴
y = 24000 × 0.52200625
y = 12528.15
Therefore, with the help of the given equation, we know that the automobile is worth $12528.15 after four years.
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Complete question:
The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $
The point with the lowest elevation in the United States is Badwater Basin, California at 279 feet below sea level. The point with the highest elevation in the United States is Denali, the mountain in Alaska, at 20,237 feet above sea level.
Use absolute value to find the distance between them.
Answer:
hink of sea level as 0 , and the elevation above sea level as positive, while the elevation below sea level is negative. Then determine the distance between them as if the two values are on a number line.
20617 feet
Step-by-step explanation:
What is the radian measure of the central angle of an arc that has an arc length of 3 units and a radius of 4 units?.
An arc with 3 units length and 4 units radius has the central angle of 0.75 radians.
The length of an arc is proportional to its central angle.
Let:
l = length of an arc
a = magnitude of the arc's central angle
r = radius of the corresponding circle
Then, the following holds:
a/2π = l / C
Where C = circumference of the circle = 2 πr
Hence,
a/2π = l / 2 πr
a = l/r (equation 1)
Parameters given in the problem:
l = 3 units
r = 4 units
Plugs these parameters into equation 1
a = 3/4 = 0.75 radians.
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which of the formulas represents the sequence?
Answer:
b i think srry if not right <33
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
To find the nth term of a sequence :
We find the jump between each terms :
21 to 17 is -4
17 to 13 is -4
13 to 9 is -4
There -4 will go before the n
Then we find the 0th term :
Opposite of -4 is +4
21 + 4 = 25
Our final answer is -4n + 25
Option A
Hope this helped and have a good day
a sample of 20 cupcakes found the interval for average calories to be (150, 350). which is the correct interpretation of the 95% confidence interval?
95% is the correct interpretation of the 95% confidence interval.
What is a confidence interval?
Using confidence intervals, one can gauge how "good" an estimate is; the wider the 90% confidence interval is for a given estimate, the more care must be taken when using that estimate. Confidence intervals serve as a crucial reminder of the estimates' limits.The confidence level informs us of the probability that the procedure we are employing will result in an interval of data or a range of data that will capture the population parameter.
A confidence interval's capture of a population parameter is never indicated by the confidence level.
We are therefore 95% certain that it captures the true mean, which seems to be correct.
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You can afford monthly payment of $600 if your current mortgage rate or 3. 76% for a 30 year fixed rate loan how much can you afford to borrow if you’re required to make a 10% down payment and you have the cah on hand to do it how expenive a home can you afford
A rate of 3.76% per year for 30 years requires an initial principal investment of $281.95 to yield a total return of $600.00,
What is mortgage?These considerations include the total amount you borrow from the bank, the loan's interest rate, and the time frame for finishing your mortgage repayment. You should use the following formula to calculate your mortgage:
M = P [i(1 + i)n] / [(1 + i)n - 1].
The first step is to convert R percent to r a decimal, which is 3.76%/100 or 0.0376 per year.
Our equation is solved as follows:
M = 600 / (1 + (0.0376 30)) = 281.95488721805 P = $281.95
A rate of 3.76% per year for 30 years requires an initial principal investment of $281.95 to yield a total return of $600.00,
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Chooe Ye or No to tell whether each ituation can be repreented by the expreion 25. 75x 10. Carol ha $25. 75. She earn $10 for each car he wahe. Chooe. Max ha $10. He earn $25. 75 for every lawn he mow. Chooe. Jin buy x potcard for $25. 75 and x keychain for $10 each. Chooe. Saha ell a carf for $10 and x jacket for $25. 75 each. Chooe
The situation of Max and Sasha hold true with the equation.
Let's begin with understanding the equation. The number 10 is constant, which means no matter what, the person will have quantity or quality worth of 10. Also, the person will have some quality or quantity that will increase by 25.75 periodically.
Carol has fixed amount of $25.75 and variable amount $10. Jin has both the amounts as variable. So they do not fit the equation. Max and Sasha have constant amount $10. Max earns $25.75 based on number of lawns. Sasha spends same amount based on number of jackets.
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The complete question is attached in the diagram.
What is the expansion of the series sum from n equals 1 to 4 of 4 to the n plus 1 power question mark.
The expansion of the series will be 16 + 64 + 256 + 1024.
How to expand the series?
The expansion of a function into a series, or infinite sum, is known as a series expansion in mathematics. It is a technique for calculating a function that cannot be represented using just basic operators (addition, subtraction, multiplication and division).
The series is given as:
When n = 1, we have:
The series is given as S = (n=1,4)∑ [tex]4^{n+1}[/tex]
S = [tex]4^{2}+4^{3} +4^{4}+4^{5}[/tex]
S = 16 + 64 + 256 + 1024
Hence, the expansion of the series is 16 + 64 + 256 + 1024
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HELP NOW!!! BRAINLIEST + 100 POINTS!!
y = 3.12 + 61.02s
slope = 61.02
y intercept = 3.12
y intercept occurs when x = 0
correct option is the fourth option
Answer:
?
Step-by-step explanation:
At the ice cream shop ,there are 11 shakes sold for every 6 malts .What is the ratio of malts to shakes
The ratio of malts to shakes is 6:11.
What is a ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10.
In this case, in the ice cream shop ,there are 11 shakes sold for every 6 malts .
The ratio of malts to shakes will be:
= Number of malts / Number of ice cream
= 6/11
= 6:11
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Select the correct answer.
Consider figures 1 and 2 shown in the coordinate plane. Figure 1 has been transformed to produce figure 2.
Which notation describes this transformation?
Using translation concepts, the notation that describes this transformation will be; A. (x,y) -> (x - 8, y - 8).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in its definition or in its domain.
To generate figure 2 from the figure 1, the following translations could be;
8 units left, thus x -> x - 8.
8 units down, thus y -> y - 8.
Hence, the rule is given;
A. (x,y) -> (x - 8, y - 8).
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Boden's account has a principal of $700 and a simple interest rate of 4.1%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Answer:
$66.00
Step-by-step explanation:
first we need multiply :D I will use the formula I =prt
principal= $500
rate=3.3%
time= 4 years
but we need to convert the percent, 3.3%, to a decimal
3.3%=0.033 or .033
now we multiply !
500 × 0.033 × 4 = 66 = $66.00
:D
Step-by-step explanation:
Kate can mow lawns at a constant rate of 4/5 lawns per hour. what is the ratio of lawns to hours?
3. Calculer la mesure des angles ADC et ABC de la figure ci-dessous.
Answer:
∠ ADC = 113° , ∠ ABC = 85°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , then
∠ ADC + ∠ ACD + ∠ CAD = 180° , that is
∠ ADC + 39° + 28° = 180°
∠ ADC + 67° = 180° ( subtract 67° from both sides )
∠ ADC = 113°
---------------------------
DA is an angle bisector of ∠ BAC , then
∠ BAD = ∠ CAD = 28° , then ∠ BAC = 56° , then
∠ ABC + ∠ BAC + ∠ ACB = 180° , that is
∠ ABC + 56° + 39° = 180°
∠ ABC + 95° = 180° ( subtract 95° from both sides )
∠ ABC = 85°
The table shows ticket prices at a movie
theater. Ticket sales to an afternoon show
were $106. There were 10 child tickets sold.
Write and solve an equation to find how many
adult tickets were sold. Show your work.
Answer:
their would be 1,060 that they sold
