Approximately 66 red marbles and 114 blue marbles are the estimated quantity to be in the bag.
To estimate the number of red and blue marbles in the bag, we use the information from the representative sample. In the sample of 30 marbles, 11 of them are red.
To estimate the number of red marbles in the bag, we calculate the proportion of red marbles in the sample. The proportion of red marbles is obtained by dividing the number of red marbles (11) by the total number of marbles in the sample (30). This gives us a proportion of 11/30.
To estimate the number of red marbles in the bag, we apply the proportion of red marbles to the total number of marbles in the bag. The total number of marbles is given as 180. Multiplying the proportion (11/30) by the total number of marbles (180), we find that there are approximately 66 red marbles in the bag.
To estimate the number of blue marbles in the bag, we subtract the estimated number of red marbles (66) from the total number of marbles in the bag (180). This gives us approximately 114 blue marbles in the bag.
In conclusion, the estimated number of red marbles in the bag is approximately 66, and the estimated number of blue marbles is approximately 114.
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Write and solve a proportion to complete the statement. Round to the nearest hundreth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
The conversion of the following units are done below.
6 km = 3.72 miles2.5 L = 0.65 gallons90 lb = 40.5 kgWhat is conversion?Conversion means to convert the same thing into different units.
We know the following unit's conversion.
1 km = 0.62 miles
6 km = 3.72 miles
1 L = 0.26 gallons
2.5 L = 0.65 gallons
1 lb = 0.45 kg
90 lb = 40.5 kg
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Help me please!!!!!!!
Answer:
1/9
Step-by-step explanation:
Because
P(both socks are white)= 2/18
if the scale in the drawing is 1/4inch=3miles, what is the distance, in miles between Hawthorne an Doylestown?(help)
We will investigate how to use ratios to determine the actual distance between cities as per defined scale.
We are given a scale conversion ( ratio ) at which distances are scaled down:
\(\begin{gathered} \text{Scale : Actual} \\ \frac{3}{4}\text{ in : }3\text{ miles} \end{gathered}\)We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.
\(\text{Scale distance = 1.75 in}\)Now utilize the scale conversion ratio to determine the actual distance:
\(\begin{gathered} \text{Scale : Actual } \\ \frac{3}{4}in\text{ : 3 miles} \\ \\ 1.75\text{ in: x} \\ ======= \\ \\ \frac{3}{4}\cdot x\text{ = 3}\cdot1.75 \\ \\ x\text{ = }\frac{3\cdot1.75\cdot4}{3} \\ \\ x\text{ = 7 miles} \end{gathered}\)Therefore, the distance between Hawthorne and Doylestown is:
\(7\text{ miles}\)
Zackary says that point c has the same location as point a because both points have the same coordinates.is Zachary right?explain why or why not
Answer:No
Step-by-step explanation:
No because A was (3,4) and point C was (4,3).
I hope this helps !!
PLEASE HELP!! (Question in picture)
For BRAINLIEST and more !!
Like terms are terms that have the same variable no matter the coefficient value such as a negative or positive coefficient (number right to left of the variable aka the letter representing an unknown amount of value).
A. 8n : - 4n becuase the have the same variable (N)
B. - 2d: D because they have the same variable and even if d has no coefficient, it still has value, variables with no coefficient always equal 1 no matter the circumstances
C. - b: 17b and -3b2 because they both have the same variable eliminating the coefficients being two different types of numbers (positive and negative). The expressions have to have the same variable.
D: 4y², -3y2,4y, and 4 to the second power. This is because they all have the same variable.
E. 6x2y: 3xy because the variable are specifially xy and they must be in order to be like terms.
abc: all because they have all the letters but are just in different orders of variables. (thats all)
Write an inequality to represent the graph
Answer:
B
Using gradient of two points and equation of a straight line graph.
A curbside pickup facility at a grocery store takes an average of 3 minutes to fulfill and load a customer's order. On average 6 customers are in the curbside pickup area. What is the average number of customers per hour that are processed in the curbside pickup line? Show calculations. (Use Little's law).
Answer:
120 customers per hour
Step-by-step explanation:
You want to know the processing rate in customers per hour if there are an average of 6 customers waiting, and the average service time is 3 minutes.
Little's LawLittle's law relates the average queue depth to the response time and the average throughput:
mean response time = mean number in system / mean throughput
Solving for the throughput, we find ...
throughput = (number in the system)/(response time)
throughput = (6 customers)/(3/60 hours) = 120 customers/hour
The average rate of processing is 120 customers per hour.
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to evaluate which of a set of curves fits the data best, we can use: a. APE b. MAPE c. R2 d. NPV
To evaluate which of a set of curves fits the data best, you can use the option "c. R2", also known as the coefficient of determination.
R2 is a statistical measure that helps determine the proportion of variance in the dependent variable explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the curve to the data.
To evaluate which of a set of curves fits the data best, we can use the R2 (coefficient of determination) metric. R2 is a statistical measure that represents the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a regression model.
A higher R2 value indicates a better fit of the curve to the data. APE (absolute percentage error), MAPE (mean absolute percentage error), and NPV (net present value) are not appropriate metrics for evaluating the fit of a curve to data. APE and MAPE are typically used to measure forecasting accuracy, while NPV is a financial metric used to determine the present value of future cash flows.
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Lionel Messi, who is running 20 feet per second is 15 feet behind Cristiano Ronaldo who is running at 17 feet per second. How long will it take Messi to catch up with Ronaldo?
Answer:
15 feet
Step-by-step explanation:
Answer:
15 feet
Step-by-step explanation:
0.297
x7.1
=297
+ 20790
21.087
O True
O False
Answer:
False.
Step-by-step explanation:
0.297x7.1=2.1087
2.1087+20790= 20792.1087
assume that the helium porosity level (measured in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.75. how large a sample size is necessary if the width of the 95% interval for the true average porosity level is to be 0.40
A large sample size of 15 is necessary if the width of the 95% interval is to be 0.40
Sample size determination is the act of choosing the number of observations or replicates to include in a statistical sample. The sample size is an important feature of any empirical study in which the goal is to make inferences about a population from a sample. In practice, the sample size used in a study is usually determined based on the cost, time, or convenience of collecting the data, and the need for it to offer sufficient statistical power. In complicated studies there may be several different sample sizes.
Sample sizes may be chosen in several ways:
Using experience – small samples, though sometimes unavoidable, can result in wide confidence intervals and risk of errors in statistical hypothesis testing.Using a target variance for an estimate to be derived from the sample eventually obtained, i.e., if a high precision is required this translates to a low target variance of the estimator.Using a target for the power of a statistical test to be applied once the sample is collected.Using a confidence level, i.e. the larger the required confidence level, the larger the sample size.Given in the question:
A sample size of n is needed.
n is found when M = 0.4.
95% Central interval
Z = 1.96
M = z × σ /√n
⇒ 0.40 = 1.96 × 0.75 /√n
⇒ 0.40√n = 1.96 ×0.75
⇒ √n = 1.96 ×0.75/0.40
⇒ (√n)² = (1.96 ×0.75 / 0.40 )²
⇒ n = 14.6
Rounding up 14.6
n = 15
The sample size of 15 is needed.
Thus, A large sample size of 15 is necessary if the width of the 95% interval is to be 0.40
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Which term best describes the graph
of y=-5x+1
A:increasing
B:decreasing
C: constant
D: positive
find the area of this shape. 100pts
Answer:
A = 540 m²
Step-by-step explanation:
consider the shape split into 3 rectangles
the length is divided into 3 congruent sections
single dash = 30 m ÷ 3 = 10 m
the width is divided into 3 congruent sections
double dash = 27 m ÷ 3 = 9 m
then area (A) is the total of the 3 rectangular areas
A of left rectangle = 10 × 9 = 90 m²
A of middle rectangle = 10 × (9 + 9) = 10 × 18 = 180 m²
A of right rectangle = 10 × 27 = 270 m²
total area = 90 + 180 + 270 = 540 m²
Hell meeeeeeeeeeee please
Answer:
OOOOOOOOHHH SHUTE BROTHER SORRY WISHED I COULD HELP but im blonde so sowwy
\(32.5 = 30 + \frac{20 - (40 + x)}{12} \times 10\)
please i need a step by step solution...I'll mark brainliest
Answer:
\(x = - 23\)
Step-by-step explanation:
\( \frac{20 - (40 + x)}{12} \times 10 = 32.5 - 30 = 2.5\)
\( = > \frac{20 - (40 + x)}{12} = 0.25\)
\( = > \frac{20 - (40 + x)}{12} = \frac{1}{4} \)
\( = > 20 - (40 + x) = \frac{12}{4} = 3\)
\( = > 40 + x = 20 - 3 = 17\)
\( = > x = 17 - 40 = - 23\)
the gpa of accounting students in a university is known to be normally distributed. a random sample of 21 accounting students results in a mean of 2.88 and a standard deviation of 0.16. construct the 90% confidence interval for the mean gpa of all accounting students at this university.
We can say with 90% confidence that the true mean GPA of all accounting students at this university lies between 2.7107 and 3.0493.
We are given:
Sample size n = 21
Sample mean X = 2.88
Sample standard deviation s = 0.16
Confidence level = 90% or α = 0.10 (since α = 1 - confidence level)
Since the sample size is small and population standard deviation is unknown, we will use a t-distribution to construct the confidence interval.
The formula for the confidence interval is given by:
X ± t(α/2, n-1) * s/√n
where t(α/2, n-1) is the t-score with (n-1) degrees of freedom, corresponding to the upper α/2 percentage point of the t-distribution.
Using a t-table with (n-1) = 20 degrees of freedom and α/2 = 0.05, we find the t-score to be 1.725.
Plugging in the values, we get:
2.88 ± 1.725 * 0.16/√21
= (2.7107, 3.0493)
Therefore, we can say with 90% confidence that the true mean GPA of all accounting students at this university lies between 2.7107 and 3.0493.
Note: The confidence interval can also be written as [2.71, 3.05] rounding to two decimal places.
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domain and range of
1. h(x) = |x + 5| + 3
2. g(x) = -2x - 10
3. g(x) = 7x^2
The domain and range are
1. the domain is (-∞, +∞). and range of h(x) is [3, +∞)
2. the domain is (-∞, +∞). and the range of g(x) is (-∞, +∞)
3. the domain is (-∞, +∞). and range of g(x) is [0, +∞)
How to find the domain and rangeFor the function h(x) = |x + 5| + 3:
Domain: The function h(x) can accept any real number as input since there are no restrictions on the value of x. Therefore, the domain is (-∞, +∞).
Range: The absolute value function |x + 5| always results in a non-negative value. Adding 3 to a non-negative value will also yield a non-negative value. Hence, the range of h(x) is [3, +∞).
For the function g(x) = -2x - 10:
Domain: The function g(x) can accept any real number as input since there are no restrictions on the value of x. Therefore, the domain is (-∞, +∞).
Range: The function g(x) is a linear equation with a negative slope (-2). As x increases, the value of -2x decreases. Thus, the range of g(x) is (-∞, +∞).
For the function g(x) = 7x²:
Domain: The function g(x) can accept any real number as input since there are no restrictions on the value of x. Therefore, the domain is (-∞, +∞).
Range: The function g(x) is a quadratic function with a coefficient of 7 in front of x². Since the coefficient is positive, the parabolic graph opens upwards. Hence, the range of g(x) is [0, +∞). The function can achieve any non-negative value or zero, but it does not reach negative values.
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7. Greet the following persons in Spanish:
Officer Johnston (3:00 PM)
Your little brother
The principal (8:00 AM)
Your friend
Your pastor (7:00 PM)
Generally, Spanish is a Romance language that originated in the Iberian Peninsula. It is the second most spoken language in the world by number of native speakers and is widely used as a second language in many countries. Spanish is an official language in Spain and 21 other countries, including Mexico, Central America, South America, and the Caribbean. It is a major global language and has a rich cultural heritage, with a long literary tradition and a vibrant contemporary literary scene. Spanish is also an important language for international business and communication.
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help me plzzzz :)) tyy if you do
Solve the right triangle shown in the figure, given the following measures. Remember, exact lengths can be approximated on a calculator. For example, StartRoot 2 EndRoot almost-equals 1.414. Angle A = 45 degrees, side A B = 12 StartRoot 2 EndRoot centimeters, Angle C = 90 degrees a. Side B C = 6 StartRoot 3 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 3 EndRoot centimeters b. Side B C = 6 StartRoot 2 EndRoot centimeters, angle B = 45 degrees, Side A C = 6 StartRoot 2 EndRoot centimeters c. Side B C = 24 centimeters, angle B = 45 degrees, Side A C = 24 centimeters
Answer:
D. BC = 12cm, <B = 45, AC = 12cm
Step-by-step explanation:
Edge 2021
The measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm
What are right triangles?A right triangle is a triangle that has one of its angle measure to be 90 degrees.
From the question, we have:
Angle B = 45 degrees
Since angle B is 45 degrees, then the legs of the triangle are equal (i.e. 12 cm)
Hence, the measures of the lengths and angles are: BC = 12cm, <B = 45, AC = 12cm
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Find the area of the surface generated when the given curve is revolved about the given axis. y= 2x - 3 for 4sx<7; about the y-axis (Hint Integrate with respect to y-) CO The surface area is square units
The surface area of the surface generated when the given curve is revolved about the given axis is 41π√5/2 square units.
Surface area = ∫2πyds
Where y is the function, and ds is the arc length.
The function is y = 2x - 3, and we are integrating with respect to y, so we get,
y = 2x - 3
x = (y + 3)/2
Now we can find the arc length, ds, using the formula ds = √(1 + (dy/dx)²)dx:
ds = √(1 + (dy/dx)²)dx
ds = √(1 + (1/2)²)dx
ds = (1/2)√5 dx
Substituting x = (y + 3)/2 and ds = (1/2)√5 dx into the formula for surface area:
Surface area = ∫2πyds
Surface area = ∫2π((y + 3)/2)((1/2)√5 dx)
Surface area = ∫π(y + 3)√5 dx/2
Now we can use the limits of integration given in the question, 4 < x < 7, to find the surface area:
Surface area = ∫[4,7]π(y + 3)√5 dx/2
Surface area = (π√5/2)∫[4,7](y + 3)dx
Surface area = (π√5/2)(49 - 8)
Surface area = (π√5/2)(41)
Surface area = 41π√5/2 square units
Therefore, the surface area of the surface is 41π√5/2 square units.
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WILL MARK BRAINLIEST
picture included^^^^
need help asap please n thank you!
^^^^
Answer:
14
Step-by-step explanation:
The a value is from the center to the maximum
We want from minimum to max so we need 2 times the amplitude
a = 7
2 *7 = 14
What is the measure of the angle?
Answer:
The angle of that is 90°
A $400 table is on sale for 33% off. There is a 6.8% sales tax. How would you find the final price of the table?
Answer:
if i am right it 260
Step-by-step explanation:
What is the m∠AHE
m
∠
A
H
E
to the nearest whole number?
Answer:
Below
Step-by-step explanation:
As I posted ....looks to be 147°
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
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A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}
What is the range of the function?
Answer:
-9,3
Step-by-step explanation:
The range of the function is {3, 7, -9}.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}.
The range of the function is,
= the number of value in the y-coordinate.
= {3, 7, -9}
Therefore, {3, 7, -9} is the range.
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Can u please answer this asap and thank you
Answer:
10 popcorn orders
Step-by-step explanation:
\(10 + 4.55 x = 8 + 4.75x \\ 4.55x - 4.75x = 8 - 10 \\ - 0.2x = 8 - 10 \\ - 0.2x = - 2 \\ x = \frac{ - 2}{ - 0.2} \\ x = 10\)
could i get an explanation on how to do this?
Answer:
EH is 25
Step-by-step explanation:
7+7+11=25
EH is 25
Could someone please help answer this, please no spam, thank you, will give brainliest (homework help)!
Answer:
Step-by-step explanation: