Answer:
5.33 inches
Step-by-step explanation:
Mean is another term for average. Therefore, we add up all precipitation items from Column B and divide by the total number of items (9):
[tex]5.98+6.05+7.59+5.27+3.11+7.18+2.95+7.22+2.61=47.96[/tex]
[tex]47.96\div{9}\approx{5.33}[/tex]
Drag each tile to the correct box. Not all tiles will be used.
Consider the recursively defined function below.
f(1) = = 10
f(n) 2.2 f(n-1), for n = 2, 3, 4, ...
Create the first five terms of the sequence defined by the given function.
The first five terms of the sequence defined by the given function are f(1) = 10 f(2) = 22 f(3) = 48.4 f(4) = 106.48 and f(5) = 234.256.
What is a sequence?
A collection of events or items that occur one after the other in a specific order is referred to as a sequence.
Here, we have
Given the function is f(n) = 2.2 [ f(n-1) ] Here, f(1) = 10 then we have to create the first five terms of the sequence defined by the function.
Since f(1) = 10
f(2) = 2.2 [ f (2-1) ] = 2.2× [ f (1) ]
= 2.2 × 10 = 22
f (3) = 2.2 [ f (3-1)] = 2.2 × [ f (2) ]
= 2.2 × 22 = 48.4
f(4) = 2.2 [ f(4-1) ] = 2.2× [ f(3)]
= 2.2 × 48.4 = 106.48
f(5) = 2.2 [ f(5-1) ] = 2.2× [ f(4)]
2.2× 106.48 = 234.256
Hence the first five terms of the sequence defined by the given function are f(1) = 10 f(2) = 22 f(3) = 48.4 f(4) = 106.48 and f(5) = 234.256.
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Suppose 50% of the registered voters in a country are Republican. If a sample of 629 voters is selected, what is the probability that the sample proportion of Republicans will differ from the population proportion by more than 4%? Round your answer to four decimal places.
The probability that the sample proportion of the Republicans will differ from the population by more than 4% is 95.56%
How to get the required probabilityThe probability is calculated using z score, this is used to determine the amount of difference a sample, X is from the standard deviation
The z score is given by the formula
z = (X - μ) / σ
Definition of variables
population mean, μ = p = 50% = 0.5
sample size, n = 629
standard deviation, σ
= √{(p(1 - p)) / n}
= √{(0.50(1 - 0.50)) / 629}
= √{(0.50 * 0.50) / 629}
= 0.0199
Differ by more than 4% is differ by 50% + 4%
X = 50% + 4% = 54% = 0.54
The probability of more than 54% P = P(p > 54%) = P(p > 0.54)
P(p > 0.54) = 1 - P(p < 0.54)
Z score for z < 0.54
z = (X - μ) / σ
= (0.54 - 0.50) / 0.0199
= 2.01
p value for z < 2.01 = 0.0444
P(p > 0.54) = 1 - P(p < 0.54)
= 1 - 0.0444
= 0.9556
= 95.56%
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Scott must choose a number between 55 and 101 that is a multiple of 2,4, and 5. Write all the numbers that he could choose.
Answer:
60, 80, 100
Step-by-step explanation:
All 3 of these numbers are between 55 and 101, and can be divided by all 3 numbers provided.
Find the angle between each of these pairs of vectors:
A = -2.00 i + 6.00 j and B = 2.00 i - 3.00 j
The angle of pairs = 170.
The characteristics of the scalar product allows to find the angle between the two vectors is:The scalar product is the product between two vectors whose result is a scalar.
A . B = |A| |B| cos θWhere A and B are the vectors, |A| and |B| are the modules of the vectors and θ at the angle between them.
The vector is given in Cartesian coordinates and the unit vectors in these coordinates are perpendicular.
i.i = j.j = 1 i.j = 0 A . B = (4 i - 4j). * -5 i + 7j) A . B = - 4 5 - 4 7 A. B = -48We look for the modulus of each vector.
|A| = 4 √2 |B| = 8.60We substitute. -48 = 4√2 8.60 cos θ -48 = 48.66 cos θ θ = cos⁻¹ θ = 170ºIn conclusion using the dot product we can find the angle between the two vectors is:
Hence, the angle θ = 170º
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A candidate for mayor is calling 882 registered voters to remind them about the upcoming election if the candidate has 49 volunteers and each person calls the same numbers of voters how many voters will volunteer call
The number of voters that each volunteer call is 18.
What is voting?It is important to note that voting is done to choose a particular person during elections.
In this case, the candidate for mayor is calling 882 registered voters to remind them about the upcoming election and the candidate has 49 volunteers.
Since they gave same number of voters, this will be:
= Number of voters / Number of volunteers
= 882 / 49
= 18
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Can you please help and finish with steps by 8/11/2022 PLEASE !
Answer:
squares: 1, 36, 64, 289, 324cubes: 1, 64, 125, 216, 512Step-by-step explanation:
You want lists of the perfect squares and perfect cubes from the set {1, 36, 64, 98, 125, 216, 289, 324, 480, 512}.
Perfect squaresA "perfect square" is the square of an integer, the value obtained by multiplying the integer by itself.
Squares of numbers 1–10 are ...
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
And from 11–20:
121, 144, 169, 196, 225, 256, 289, 324, 361, 400
The squares on your list are 1, 36, 64, 289, 324.
Perfect cubesA "perfect cube" is the cube of an integer, the value obtained by using the value 3 times as a factor in a product. (n³ = n×n×n)
Cubes of numbers 1–10 are ...
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
The cubes on your list are 1, 64, 125, 216, 512.
__
Additional comment
Any integer to the 6th power will be both a perfect square and a perfect cube. The integers 1 = 1⁶, 64 = 2⁶, and 729 = 3⁶ are such numbers.
the width of a desk is 3 inches lees than its length write an expression to represent the width of the desk
The expression to represent the width of the desk is (x-3) inches where x is the length of the desk.
According to the question,
We have the following information:
The width of a desk is 3 inches less than its length.
Now, let's take the length of the desk to be x inches.
Now, we will convert the given word sentence using this variable into an algebraic expression.
Note that the words less than means that the number has to be subtracted from the length of the desk.
So, we have the following expression:
Width of the desk = (x-3) inches
Hence, the expression to represent the width of the desk is (x-3) inches where x is the length of the desk.
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The photo added is the question.
By taking some products we will see that the total number of cupcakes ordered is 6 cupcakes.
How many cupcakes are ordered?Here we want to see how many cupcakes this person is ordering. We know that orders 9 halves of a cupcake for the family, plus a quarter of a cupcake for each of the 6 friends.
The total number of cupcakes is given by the order for the family plus the order for the friends.
The order for the familiy is given by the product:
9*(1/2) = 9/2 = 4.5
That is 9 times 1/2 of a cupcake, so for the family the person orders 4.5 cupcakes.
For the friends the person orders 6 times 1/4 of a cupcake, so now we have the product:
6*(1/4) = 6/4 = 3/2 = 1.5
If we add these two numbers we get the total number of cupcakes:
4.5 + 1.5 = 6
The person ordered 6 cupcakes.
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Question 1 (1 point) Saved Is the following statement True or False? We want to use the formula A = ½ab(sin(C)). Consider an obtuse triangle ABC. We know the lengths of a,b and c. but only know the angle for B. Are we are still able to use this formula? True False
Answer:
1). True
2). x = 16.4 m^2
3). A = 24, h = 4
4). A = 18.39
5). 162
Step-by-step explanation:
I took this quiz on K12 and got everything correct! Brainliest welcome! :)
x^2-25 , (x+5) quotient and remainder
The quotient when ([tex]x^{2} -25[/tex]) is divided by (x+5) is (x-5) and the remainder is 0.
According to the question,
We have the following information:
([tex]x^{2} -25[/tex]) is divided by (x+5)
Now, we can solve this using two ways. First method is to use the long division method and second is to solve the expression using an identity.
We know that the following identity can used to expand the dividend:
[tex]a^{2} -b^{2} = (a+b)(a-b)\\[/tex]
In this case, we have a = x and b = 5.
[tex]x^{2} -(5)^{2} = (x-5) (x+5)[/tex]
Now, we have the following expression:
(x+5)(x-5)/(x+5)
(x-5)
Now, the remainder is 0.
Hence, the quotient when ([tex]x^{2} -25[/tex]) is divided by (x+5) is (x-5) and the remainder is 0.
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algebra help pleaseee
Answer:
3x^2-2x+3+1/x+2
Step-by-step explanation:
The following data represent the high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c).
Temperature: Days:
50-59 5
60-69 309
70-79 1496
80-89 1521
90-99 533
100-109 6
(a) Approximate the mean and standard deviation for temperature.
B) Use the frequency histogram of the data to verify that distribution is bell shaped. Yes or No
C) According to the Empirical rule, 95% of the days in the month will be between what two temperatures?
Regarding the data-set of the temperatures, it is found that:
a) The mean and the standard deviation are given as follows:
Mean: 80.41Standard deviation: 8.33.b) The histogram is bell shaped.
c) 95% of the days will be between 63.75 ºF and 97.07 ºF.
How to obtain the mean and the standard deviation?The first step towards obtaining the mean and the standard deviation is obtaining the relative frequencies, which are the absolute frequencies divided by the number of observations.
The number of observations is:
5 + 309 + 1496 + 1521 + 533 + 6 = 3870.
Considering the midpoint of each interval, the following distribution is built:
P(X = 54.5) = 5/3870 = 0.0013.P(X = 64.5) = 309/3870 = 0.0798.P(X = 74.5) = 1496/3870 = 0.3866.P(X = 84.5) = 1521/3870 = 0.3930.P(X = 94.5) = 533/3870 = 0.1377.P(X = 104.5) = 6/3870 = 0.0016.The mean is given by the sum of each value multiplied by it's relative frequency, hence:
E(X) = 54.5 x 0.0013 + 64.5 x 0.0798 + 74.5 x 0.3866 + 84.5 x 0.3930 + 94.5 x 0.1377 + 104.5 x 0.0016 = 80.41.
The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, multiplied by their relative frequencies, as follows:
S(X) = sqrt((54.5-80.41)² x 0.0013 + (64.5-80.41)² x 0.0798 + (74.5-80.41)² x 0.3866 + (84.5-80.41)² x 0.3930 + (94.5-80.41)² x 0.1377 + (104.5-80.41)² x 0.0016) = 8.33.
From the histogram, most values are around the mean, with a small percentage of around 0.3% around the bounds, accordingly with the Empirical Rule, hence the distribution is normal.
By the Empirical Rule, a percentage of 95% of the observations is within two standard deviations of the mean, hence:
80.41 - 2 x 8.33 = 63.75.80.41 + 2 x 8.33 = 97.07.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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7
7
^
Why is randomization important?
Select the statement that best answers the question.
to ensure all treatment groups receive experimental units
to ensure all treatment groups are roughly equivalent regarding the experimental units
to ensure that all treatment groups are roughly equivalent regarding the variability within the experimental units
4) Intro
English
The correct answer is Option A.
Randomization important because it is used to ensure all treatment groups receive experimental units .
What is randomization ?Randomization is mostly used in experiments to establish a cause and effect link and regulate the underlying variable. Also, the evidence is strengthened by randomizing an experiment. Good. To ensure that the outcomes are accurate, randomization is mostly used in experiments.Every experimental unit has the same chance of receiving any therapy, and treatments are distributed to them entirely at random. -A random number table, computer, program, etc. are used to perform randomization.Fixed allocation randomization and adaptive randomization are the two main categories of randomization techniques. The majority of trials employ fixed randomization, in which subjects are assigned to the intervention or comparator with a probability that remains constant over the course of the investigation.
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Answer:
the answer is c. to ensure that all treatment groups are roughly equivalent regarding the variability within the experimental units
Step-by-step explanation:
The area of the play area is 286.56 square feet. A border is planned around the perimeter of the play area. How many feet of material are needed for the border?
Answer:
Step-by-step explanation:
The length of material needed for the border is the perimeter of the backyard play area
How to calculate the length of material needed
The area of the play area is given as:
The area of a trapezoid is calculated using:
Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.
The given parameter is not enough to solve the length of material needed.
So, we make use of the following assumed values.
Assume that the parallel sides are: 25 feet and 31 feet long, respectively.
While the other sides are 10.2 feet and 8.2 feet
The length of material needed would be the sum of the above lengths.
So, we have:
Using the assumed values, the length of material needed for the border is 74.4 feet
18
8. Carey bought a $2,100 computer system on the installment plan. He made a $400 down
payment, and he has to make monthly payments of $79.50 for the next two years. How much
interest will he pay?
Answer:
$208
Step-by-step explanation:
$79.50 x 24 = 1908
$1908 + 400 = 2308
$2100/2308 = 9%
Carey will pay a total interest of $1,508 over the course of the installment plan for the computer system.
What is Interest?Interest is a financial concept that represents the cost of borrowing money or the return on invested capital. It is a fee charged for the use of borrowed funds or the compensation received for lending money or investing in assets.
Total number of monthly payments
= 12 months/year x 2 years
= 24 months
and, Monthly payment amount = $79.50
Total amount paid in monthly installments
= Monthly payment amount x Total number of monthly payments
= $79.50 x 24
= $1,908
Next, we can subtract the initial down payment from the total amount paid to find the interest paid:
Total interest paid = Total amount paid - Down payment
= $1,908 - $400
= $1,508
Therefore, Carey will pay a total interest of $1,508 over the course of the installment plan for the computer system.
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A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 1,095 respondents, 631 said it was a good thing.
c. Find a 95% confidence interval for the proportion who believe immigration is a good thing.
A 95% confidence interval for the proportion who believe immigration is a good thing is; CI = (0.4173, 0.7173)
What is the Confidence Interval of Proportions?The formula for the confidence interval of proportions is;
CI = p ± z√(p(1 - p)/n)
where;
p is sample proportion
z is z-score at confidence level
n is sample size
We are given;
Number of success; x = 631
Sample size; n = 1095
Thus;
sample proportion; p = x/n = 631/1095 = 0.5763
The z-score at 95% confidence level is 1.96. Thus;
CI = 0.5673 ± 1.96√(0.5673(1 - 0.5673)/1095)
CI = 0.5673 ± 0.015
CI = (0.5673 - 0.15), (0.5673 + 0.15)
CI = (0.4173, 0.7173)
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Dog food comes in two different sized bags. The 4 lb bag sells for $19.49 while the 30 lb bag sells for $73.99. Which is cheaper per pound and by how much?
Answer:
30 lb bag is cheaper by about $2.40
Step-by-step explanation:
to find per pound we divide
19.49/4= 4.8725
$4.87per pound
$73.99/30=2.46633
$2.47 per pound
30 lb bag is cheaper per pound
4.87-2.47=2.40
hopes this helps please mark brainliest
Some -digit numbers, such as 300003 and 604406, read the same forward and backward. If a boy selects a number from all six -digit numbers, find the probability that it will read the same forward and backward.
The probability that the boy will select a palindrome number is 1/900.
What is a palindrome?A number that reads the same both forward and backward is known as a palindrome.
The 6 digits palindrome numbers can be formed starting from 100 and writing the reverse of 100 before 100 like 100-001, 101-101, 102-201,...,
995-599, 996-699, 997-799, 998-899,999-999.
Therefore, the 6 digits palindrome numbers can be formed using three digits starting from 100 to 999.
Since we are starting from 100, subtract 99 from 999 to get the total number of 6 digits palindrome numbers,
999-99
=900
Therefore, there are 900 six digits palindrome numbers.
The probability of selecting one palindrome number out of a total of 900 numbers is,
1/900
Therefore, the probability that the boy will select a palindrome number is 1/900.
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The scores on a psychology exam were normally distributed with a mean of 72 and a standard deviation of 6. A failing
grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing
score? Approximately what percentage of the students failed?
The cutoff for a failing score was?
Cut off for the failing score is 60.
Percentage of the student failed is 12.5%.
What is standard deviation?
The term "standard deviation" (or "SD") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
What is normail distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.
Given that,
mean = 72
standard deviation = 6
So,
(a) Cutoff score = mean-(2 x standard deviation) [tex]=72-(2\times 6)[/tex][tex]= 72-12[/tex] [tex]=60[/tex].
(b) In a normal distribution, 95% of students fall on both sides of mean in 2 standard deviations range. i.e., [tex]\frac{95}{2} = 47.5[/tex] of students between mean and (mean-2 x standard deviation). So, the percentage of students below 2 standard deviations from mean = 60-47.5 = 12.5%.
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What are the answers to 3, 4, and 5? Thank you.
The missing terms in the two column proof are;
Reason 4; Opposite Angles
Reason 5; AAS Congruency Postulate
How to carry out two column proof of triangles?From the given image, we want to use the two column proof to prove that ΔAEC ≅ ΔDEB.
Now, we have the two column proof as follows;
Statement 1; AC ║ BD
Reason 1; Given
Statement 2; AC ≅ BD
Reason 2; Given
Statement 3; ∠ACE ≅ ∠DBE
Reason 3; Alternate angles
Statement 4; ∠AEC ≅ ∠BED
Reason 4; Opposite Angles
Statement 5; ΔAEC ≅ ΔDEB
Reason 5; AAS Congruency Postulate
The final proof is AAS Congruency postulate because it has 2 congruent angles and the non-included congruent side.
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Can I have some help asap?
Answer:
I will help you okay????
If you make $4 on a sale of one share of stock that you bought for $22, what is your ROI?
Answer:
$26
Step-by-step explanation:
12 ^-3 wasnt at school the week we did negative integers help pls
1/1728 is the value of negative integers .
What in math is an integer?
A whole number that can be positive, negative, or zero is called an integer. It is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers.Three sorts of integers exist: 0 (zero), positive integers (natural numbers), and negative integers (Additive inverse of Natural Numbers)= 12⁻³
= 1/12³
= 1/1728
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A candy company sells peanut brittle and almond bark. The information for both types of candy is shown.
graph labeled Peanut Brittle with x axis labeled weight in ounces and y axis labeled cost in dollars with a line from point 0 comma 0 going through 10 comma 10
Almond Bark
Weight (ounces) 4 12 16
Cost (dollars) 5 15 20
Determine how much more one candy costs per ounce than the other candy.
Almond bark costs $0.25 more per ounce than peanut brittle.
Peanut brittle costs $0.25 more per ounce than almond bark.
Almond bark costs $0.20 more per ounce than peanut brittle.
Peanut brittle costs $0.20 more per ounce than almond bark.
The correct option regarding the proportional relationships for the costs of the Peanut Brittle and for the Almond Bark are given as follows:
Almond bark costs $0.25 more per ounce than peanut brittle.
What is a proportional relationship?A proportional relationship is a special case of a linear function, with slope k and intercept 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:
y = kx.
The Peanut Brittle graph goes through the point (10, 10), hence the constant, which is the price per candy, is obtained as follows:
10k = 10
k = 10/10
k = 1.
For Almond Bark, the price per candy is obtained as follows, from the table:
4k = 5
k = 5/4
k = 1.25.
Hence the difference of the prices is:
1.25 - 1 = $0.25.
Which means that the first option is correct.
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Answer:
Almond bark costs $0.25 more per ounce than peanut brittle.
Step-by-step explanation:
y=-2x^2+20x-2 what is the maximum or minimum value of the function
The Minimum value is y(min) = 48 , x = 5 and The maximum value is [tex]y = -2(x -5)^2+48[/tex]
Given,
In the question:
The given Function is :
[tex]y = -2x^2 + 20x -2[/tex]
To find the maximum or minimum value of the function:
Now, According to the question:
For maximum value:
The given Function is :
[tex]y = -2x^2 + 20x -2[/tex]
Take out the leading coefficient is :
[tex]y = -2(x^2 + 10x) -2[/tex]
Complete the square:
[tex]y = -2(x^2 + (2(-5))x +(-5)^2+(-2-(-2).(-5)^2)[/tex]
Express the function in vertex form:
[tex]y = -2(x -5)^2+48[/tex]
For Minimum Value:
y(min) = 48
x = 5
Hence, The Minimum value is y(min) = 48 , x = 5 and The maximum value is [tex]y = -2(x -5)^2+48[/tex].
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Joel sold her house for $545,450, which was 85% of the amount she paid for it.
Calculate the amount she paid for the property.
Round to the nearest cent
There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
In this question, we have been given there are 10 brown, 10 black, 10 green, and 10 gold marbles in bag.
The theoretical probability of pulling a brown marble from the bag would be,
P = 10/40
P = 0.25
P = 25%
A student pulled a marble, recorded the color, and placed the marble back in the bag.
The frequency of each color pulled during the experiment after 40 trials is:
Brown 13
Black 9
Green 7
Gold 11
So, the experimental probability of pulling a brown marble from the bag would be,
P = 13/40
P = 0.325
P = 32.5 %
Therefore, the theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
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Answer: The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Step-by-step explanation: :)
A system of equations is shown below.
What is the value of y for the solution to the system? [2z - y = 3
（エー3y=4
A.2
B.1
c.-1
D.-5
Answer:
option c
y = -1
Step-by-step explanation:
2x - y = 3 -----------------(1)
x - 3y = 4 ------------------(2)
from equation (2)
x = 4 + 3y-------------------(3)
substituting the value of x in equation (1)
2(4+3y) - y = 3
8 + 6y - y = 3
5y = 3-8
5y = -5
y = -1
substituting the value of y in equation (3)
x = 4 - 3
x = 1
What is an equation of the line that passes through the points (4, -2)(4,−2) and (8, 3)(8,3)
The equation of line passing through points (4,−2) and (8, 3) is 4y - 5x + 28 = 0
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
Given pair of points are (4,−2) and (8, 3).
The equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given as,
y = ((x - x₁) / (x₁ - x₂)) (y₁ - y₂) + y₁
Substitute the respective values to get the equation of line as,
y = ((x - 4 ) / (4 - 8)) (-2 - 3) + (-2)
y = ((x - 4 ) / 4) × 5 - 2
4(y + 2) = 5(x - 4)
4y - 5x + 28 = 0
Hence, the equation of line for the given points is 4y - 5x + 28 = 0.
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measure the diameter of 1 rupee coin 2 rupee coin and Rs 5 coin find their circumference
(not suppose)
