A bank pays interest on saving 2% per year, at the end of the year, the amount in the account would be $510.
Using a starting balance of $500 and a 2% annual interest rate, the amount in the account at the end of the year may be calculated using the compound interest formula.
Compound interest is calculated as follows:
\(A = P * (1 + r)^n\)
P = $500, r = 2% = 0.02 (converted to decimal form),
n = 1 (since it's one year).
\(A = 500 * (1 + 0.02)^1\)
\(A = 500 * (1.02)^1\)
A = 500 * 1.02
A = 510
Thus, at the end of the year, the amount in the account would be $510.
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Statistics
What do numerical summary measures bring to statistics that
frequency distributions and graphical representations do not?
Numerical summary measures provide concise information about central tendency, variability, and enable comparative analysis, which frequency distributions and graphical representations may not offer.
Numerical summary measures play a crucial role in statistics by providing concise and meaningful information about a dataset. They offer several advantages over frequency distributions and graphical representations, including:
1. Central Tendency: Numerical summary measures such as mean, median, and mode provide information about the typical or central value of a dataset.
They summarize the data in a single value, allowing for quick comparisons and understanding of the dataset's central tendency. In contrast, frequency distributions and graphical representations may not provide a clear and concise measure of central tendency.
2. Dispersion or Variability: Measures such as standard deviation, variance, and range provide insights into the spread or variability of the data. They quantify the extent to which the data points deviate from the central tendency.
While frequency distributions and graphical representations can provide a visual representation of the data spread, numerical summary measures offer precise and comparable values that facilitate quantitative analysis and comparison across different datasets.
3. Simplicity and Efficiency: Numerical summary measures condense the information contained in a dataset into a small number of values, making it easier to communicate and interpret the data.
They provide a concise summary that can be quickly understood and used for decision-making. In contrast, frequency distributions and graphical representations may require more time and effort to interpret, especially when dealing with large datasets.
4. Statistical Inference: Numerical summary measures are often used as inputs for statistical inference. Parameters such as the mean and standard deviation are essential for hypothesis testing, confidence intervals, and regression analysis.
They serve as key components in various statistical models and calculations. While frequency distributions and graphical representations provide a descriptive overview of the data, numerical summary measures enable the application of statistical techniques for inference and modeling.
5. Comparative Analysis: Numerical summary measures facilitate easy comparison between different datasets. By summarizing data into a few key metrics, it becomes simpler to compare and contrast various groups or populations. This comparative analysis is particularly useful in research, decision-making, and policy formulation.
Overall, numerical summary measures bring a level of precision, simplicity, and comparability to statistical analysis that frequency distributions and graphical representations alone may not provide.
They offer valuable insights into the central tendency, variability, and characteristics of a dataset, making them indispensable tools in statistical analysis and interpretation.
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The digit 1 in which number represents a value of 1 tenth?
Answer:
You didn't provide any possible answers, but I'm going to assume the correct answer is a number where the decimal is directly to the left of a one.
Step-by-step explanation:
Find a number where you see a point and then a 1 just afterwards:
.1
Answer:
When there is a number behind (TO THE LEFT OF) the decimal, it is in the Tenths place.
Step-by-step explanation:
So 1 tenth would be here...
000.100
The 1 is in the tenths place and is equal to 1 tenth.
If it were a 2 in the tenths place, it would be 2 tenths, and so on.
I hope I helped you with your question.
b-10 > 5; 14, 15, 16
help me with this please
The values of a, b, c are 152°, 28°, 152° respectively.
What are angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.
The sum of angles at a point will give 360°.
This means that a + b + c + 28 = 360
c +28 = 180° ( angle on a straight line)
c = 180 -28
c = 152°
c = a( alternate angles are equal)
therefore the value of a = 152°
b = 28( alternate angles are equal)
therefore the value of b is 28
therefore the values of a, b, c are 152°, 28°, 152° respectively
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can someone explain to me what this is in detail P(A∩B) = P(A) · P(B)
Answer:
Basically the statment is saying that in order to get P (A and B) you have to multiply P(A) by P(B).
Answer:
I think it means the probability of selecting (AnB) is equal to Probability of selecting A × probability of selecting B
Step-by-step explanation:
Please rate bainliest if you think I deserve
A) 19mpg
B) 32mpg
C) 15mpg
D) 28mpg
Answer:
28 mpg
Step-by-step explanation:
I need help with question 3 please
Answer:
there's nothing there..
Step-by-step explanation:
Answer:
i need the question to answer though
Step-by-step explanation:
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 185 fours. Find the experimental probability of not rolling a four, based on Jimmy’s experiment. Round the answer to the nearest thousandth.
In this case, the experimental probability is D. 0.860
Why is this so?First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.
In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.
Then, the probability of rolling a 5 will be equal to:
P1 = 140/1000 = 0.14
Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:
P2 = 1 - 0.14 = 0.86
then the correct option is D
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.
A. 0.140
B. 0.167
C. 0.667
D. 0.860
Hello, can someone answer this for me?
If Amy wants to go to the place that has the highest typical temperature and the least variability, she should visit C. Destin.
Why should she visit Destin?Destin has one of the highest temperatures as it reaches about 95 degrees. This is the second highest of all the places and so can be one of the places to visit.
Destin has a variability (using range) of :
= 95 - 83
= 12 degrees
Pensacola Beach on the other hand, is:
= 98 - 80
= 18 degrees
Destin has the lower variability.
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Please let me know if this is correct and if not what is the correct answer. Thanks
Answer:
is it about your future profession or your dream
Step-by-step explanation:
The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12. 5 years and the standard deviation is 2. 4 years.
Use the empirical rule (68-95-99. 7%) to estimate the probability of a lion living more than 10. 1 years.
The probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).
To use the empirical rule, we first need to convert the value of 10.1 years into a z-score:
z = (x - μ) / σ
where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
z = (10.1 - 12.5) / 2.4
z = -1.00
Using the empirical rule, we know that approximately:
68% of the data falls within one standard deviation of the mean
95% of the data falls within two standard deviations of the mean
99.7% of the data falls within three standard deviations of the mean
Since we want to estimate the probability of a lion living more than 10.1 years, we need to find the area under the normal curve to the right of this value. This is equivalent to finding the area to the left of the z-score of -1.00 (since the standard normal distribution is symmetric).
From a standard normal distribution table or calculator, we can find that the area to the left of z = -1.00 is approximately 0.1587.
Therefore, the probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).
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ning Task 2: Radius and Diameter
plete the table by finding the unknown length of the radius
surement)
Radius Diameter
1 120 cm
2 35 m
3 19 km
Answer:
60
27.5
9.5
Step-by-step explanation:
Recall that: D/2 = r
Therefore 120cm÷2 = 60cm
35m÷2 = 27.5m
19km÷2 = 9.5km
A factory sampled hundreds of 9oz bags of chips off of one of their production lines to make sure the bags had the appropriate
amount of chips. They found the amount of chips to be normally distributed with = 9.12 ounces and o= .05 ounces.
PART A
Given this information, fill out the normal distribution chart below for the weight of 9oz bags of chips from this factory.
The probability that a bag of chip is lower than 9.07 oz of weight is 0.1587.
What is Normal Distribution ?A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.
An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.
The normal distribution defines how a variable's values are distributed, just like any probability distribution does. Because it properly depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics.
the mean of the data = 9.12 oz
The SD = 0.05 oz
The probability of the bag to be less than 9.07 oz
x = 9.07
z = x - mean / SD = 9.07 - 9.12/0.05 = - 1
for z = -ve
Ф(z) = 1 - Ф(-z) = 1 - Ф(1) = 1 - 0.8413 = 0.1587
The probability that a bag of chip is lower than 9.07 oz of weight is 0.1587.
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The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline. Write an
equation that represents this path.
Answer:
-1/4x + 3/2
Step-by-step explanation:
i dont know how explain but heres the answer :)
A gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. If you reach into the bag at random, what is the probability that you select a tennis ball?
8/19 or 42.1%
add all values up to a total, then find the percentage from that total.
8 + 2 + 1 + 3 + 5 = 19 balls total
8 tennis valls to 19 total.
8/19 or 42.1%
There are 9 out of 25 students in science class who passed the test and 4 out of 16 in history. What is the percentages of students in each class that passed the test?
Answer: 36% passed the science test, while 25% passed the history test.
In order to find a percentage we divide our two know numbers
Science Class- 9/25 is a fraction with / standing for divided by. 9 divided by 25 is .36 This means 36% of the class passed the science test.
History Class- 4/16 is a fraction with / standing for divided by. 4 divided by 16 is .25 This means 25% of the class passed the science test.
I hope this helped & Good Luck <3!!!!
In a deck of cards, what is the probability of choosing an ace at random?
Answer:A card is drawn from a pack of 52 cards. The probability of getting an ace is 1/52.
Step-by-step explanation:
If it' 50c outide and the temperature will drop 70c in next 3 hour, how cold will it get?
The cold will it get if it' 50c outside and the temperature will drop 70c in next 3 hour is -20 c.
Given:
If it' 50 c outside and the temperature will drop 70 c in next 3 hour.
Temperature (cold) = present temperature - temperature in next 3 hour.
= 50 - 70
= -20 c.
Therefore the cold will it get if it' 50c outside and the temperature will drop 70c in next 3 hour is -20 c.
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEB BY STEP EXPLANATION!!
You can compare two boxplots by comparing values in their ______________________.
A. means
B. orders
C. five-number summaries
D. sets
Answer:
C. five-number summaries
Step-by-step explanation:
The point of a boxplot is to represent the distribution of data in a set. It does this by giving a five-number summary. This allows people to easily understand data sets, no matter their size. To compare two boxplots you should compare the values of the five-number summary because this is the complete set of information given in a boxplot.
you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake
The number of people are 72.
What is HCF?Highest Common Factor is the full name for HCF in mathematics.
According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.
What is LCM?Least Common Multiple is the full name for LCM in mathematics.
LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.
We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.
Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.
We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:
288 / x² = (16*18) / x² = 288 / x²
Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.
As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.
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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.
The total area of the cake is:
16 inches x 18 inches = 288 square inches
To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:
√(288 square inches) ≈ 16.97 inches
Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:
Each piece of cake will be approximately 16 inches by 16 inches.
To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:
288 square inches ÷ (16 inches x 16 inches) = 18
Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
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Which choice is the solution to the inequality below?
11x > 22
O A. x> 2
O B. x 22
O c. x> 2
O D. x > 231
Please help I didn’t study for this.
Answer:
A. x>2
Step-by-step explanation:
11x>22
x>22/11
x>2
For the following function, find the values of (a) G(-18), (b) G(4), and (c) G(-2). G(x) = (a) G(-18) = (b) G(4) = (c) G(-2)= x-4, if x≤ -2, if x>-2 X,
The values of the function G(x) are as follows: (a) G(-18) = -22, (b) G(4) = 4, and (c) G(-2) = -6. When x is less than or equal to -2, G(x) equals x - 4, and for x greater than -2, G(x) simply equals x.
To determine the values of G(-18), G(4), and G(-2), we need to evaluate the function G(x) based on the conditions.
(a) G(-18):
Since -18 is less than -2, we use the expression x - 4 for G(x).
G(-18) = (-18) - 4 = -22
(b) G(4):
Since 4 is greater than -2, we use the expression x for G(x).
G(4) = 4
(c) G(-2):
Since -2 is equal to -2, we need to consider both expressions x - 4 and x for G(x). However, the condition x ≤ -2 takes precedence, so we use x - 4.
G(-2) = (-2) - 4 = -6
Therefore, (a) G(-18) = -22, (b) G(4) = 4, and (c) G(-2) = -6.
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Sam goes to an ice cream shop. Sam can choose between a sugar cone or a waffle cone. Then, Sam needs to choose between the flavors of vanilla and chocolate. What is the sample space of this scenario? S = sugar cone W = waffle cone V = vanilla C = chocoloate Question 10 options: {V, C, S, W} {SV, WV, SC, SV} {CC, VV} (S, W}
The sample space of the given scenario is -
{SV, WV, SC, SV}.
Probability of an event is the ratio of number of favorable outcomes to the total number of outcomes. Probability is a measure of how likely an event is going to happen.
Given is that Sam goes to an ice cream shop. Also -
Sam can choose between a sugar cone or a waffle cone. Then, Sam needs to choose between the flavors of vanilla and chocolate.There will be total (2 x 2) = 4 possible elements in the sample space. We can write the elements as -
Sugar Vanilla
Sugar chocolate
Waffle Vanilla
Waffle chocolate
So, the sample space would be -
{SV, WV, SC, SV}.
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4.5a - 2.6a =
helpp me
Answer:
1.9a
Step-by-step explanation:
In complete sentences, explain the following:
What could happen if you don't stick to a budget?
find slope.
a. 4
b. -1/4
c. 1/4
d-4
Answer:
1/4
Step-by-step explanation:
help please? giving brainliest!
Answer:
4.708 feet
Step-by-step explanation:
Given that: The sector area A=28.25 ft2
The radius r = 12 feet
....attached work below
Now the length of steel (Arc length ) = 2πr/2π × θ
The length of steel (Arc length ) = r × θ
The length of steel (Arc length ) = 12 × 0.39236
The length of steel (Arc length ) = 4.708 feet
i will give brainliest to first awnserer
The number of cups of lemonade Beatrice made in total is 18 4/15. The correct option is C. 18 4/15
Addition of FractionsFrom the question, we are to determine the number of cups of lemonade Beatrice made in total
From the given information,
Beatrice made 7 2/3 cups of lemonade
Later, she made 10 3/5 more cups of lemonade
To find the total number of cups of lemonade she made, we will add the two quantities together
That is,
7 2/3 + 10 3/5
7 2/3 + 10 3/5 = (7 + 10) + 2/3 + 3/5
= (17) + (10 + 9)/15
= 17 + 19/15
= 17 + 1 + 4/15
= 18 + 4/15
= 18 4/15
Hence, the number of cups of lemonade Beatrice made in total is 18 4/15. The correct option is C. 18 4/15
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Evaluate the function below at x=7. Then enter your solution rounded up to 2 decimal places. 1500•1.09^x
Answer:
Value of the function will be 2742.06
Step-by-step explanation:
Given function is,
f(x) = 1500(1.09)ˣ
By substituting the value of x we can find the value of the given function.
For x = 7,
f(7) = 1500(1.09)⁷
= 1500(1.828)
= 2742.0587
≈ 2742.06
Value of the function will be 2742.06
Four students measure their heights to be 130 cm, 130, cm, 138 cm, and 176 cm. The average (mean) height of these students is _____ cm.
If four students measure their heights to be 130 cm, 130, cm, 138 cm, and 176 cm, then the average(mean) height of these students is 143.5cm.
To find the average (mean) height, follow these steps:
The formula to find the average height is: Average height= Sum of all heights/ Total number of students.Substituting the values of the four students, we get the average height of these four students as (130+130+138+176)/4= 574/4= 143.5 cmHence, the average (mean) height of these students is 143.5 cm.
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