an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches
1. Add the two amounts of rainfall together: 2.45 + 1.72
2. Round the answer to the nearest inch: 4.2 inches
3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.
This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.
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Would you expect distributions of these variables to be uniform, unimodal, or bimodal? symmetric or skewed? explain why.
The expectation of the distributions are:
a) Uniform and Symmetric, due to the fact that a lot of it will be the same age.
b) Unimodal and skewed, due to the fact that a lot of it will have 0,1 or 2 siblings, but some might have more.
c) Unimodal and symmetric, due to the fact that a lot of it will have their pulse rates take on about similar average value, some will have a lower pulse rate and others will have a higher pulse rate.
d) Uniform and Symmetric, due to the fact that the number of time each face is seen should be about the same time.
What Is Symmetrical Distribution?A symmetrical distribution is known to be one that occurs if the values of variables shows at regular frequencies and it is seen to be the mean, median, and mode all takes place at the same point.
Hence, The expectation of the distributions are:
a) Uniform and Symmetric, due to the fact that a lot of it will be the same age.
b) Unimodal and skewed, due to the fact that a lot of it will have 0,1 or 2 siblings, but some might have more.
c) Unimodal and symmetric, due to the fact that a lot of it will have their pulse rates take on about similar average value, some will have a lower pulse rate and others will have a higher pulse rate.
d) Uniform and Symmetric, due to the fact that the number of time each face is seen should be about the same time.
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See question below
Would you expect distributions of these variables to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. a) Ages of people at a Little League game. b) Number of siblings of people in your class. c) Pulse rates of college-age males. d) Number of times each face of a die shows in 100 tosses.
Geometry: Write a formal proof, ASAP!!!
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\( \sf \: \angle1 \cong \angle3\)\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)
\(\qquad❖ \: \sf \: \angle1 \cong \angle2\)
( by corresponding angle pair )
\(\qquad❖ \: \sf \: \angle2 \cong \angle3\)
( given in the question )
\( \qquad \large \sf {Conclusion} : \)
\(\qquad❖ \: \sf \: \angle1 \cong \angle3\)
122. which of the following statements about influential scores are true? i. influential scores have large residuals. ii. removal of an influential score sharply affects the regression line. i. an x-value that is an outlier in the -variable is more indicative that a point is influential than a y-value that is an outlier the y-variable. (a) i and ii (b) 1 and iii (c) ii and iii (d) i, il, and ii (e) none of these are true
Influential scores, indicated by large residuals, have a significant impact on the regression line when removed from the data. These points, characterized by extreme x or y-values, can alter the slope and intercept of the regression line, emphasizing their importance in regression analysis.
The correct statements about influential scores are i and ii.
i. Influential scores have large residuals because they have a strong effect on the regression line. This means that if we remove an influential score from the data, it will significantly change the slope and intercept of the regression line.
ii. Removal of an influential score sharply affects the regression line because influential scores have a large impact on the regression line. If we remove an influential score, it will significantly change the slope and intercept of the regression line.
iii. This statement is not true. An x-value that is an outlier in the x-variable may be indicative of a point being influential, but a y-value that is an outlier in the y-variable can also be indicative of a point being influential.
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Select the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -22 x y -8 -11 -2 -5 1 -2 7 4 The first equation of this system is y = x. The second equation of this system is y = x − . The solution to the system is ( , ).
For the linear equations provided by the coordinates in the table;
The first equation of this system is y = -2x.
The second equation of this system is y = x - 3.
The solution to the system is (1, -2).
How do we solve for the system of linear equation?We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.
The slope (m) is given by the formula (y2 - y1) / (x2 - x1).
For the first line, we can use the points (-5,10) and (-1,2)
m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.
the first equation is y = -2x
the second line, we can use the points (-8,-11) and (-2,-5)
m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.
the second line has a slope of 1,
the equation should have the form y = x + c.
To find c, we can use one of the points, for instance (-2,-5):
-5 = -2 + c => c = -5 + 2 = -3.
So, the second equation is y = x - 3.
the solution to the system, we need to find where the two lines intersect.
y = -2x
y = x - 3
Setting both equation equally
-2x = x - 3
=> 3x = 3
=> x = 1.
Substituting x = 1 into the first equation
y = -2(1) = -2.
the solution to the system of linear equation would be (1, -2).
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it takes 222 wooden sticks and 1.51.51, point, 5 square feet of paper to make a kite, and it takes 121212 wooden sticks and 888 square feet of paper to make a lamp.
To make a kite, you need 222 wooden sticks and 1.5 square feet of paper. For a lamp, you need 12 wooden sticks and 88 square feet of paper.
Now, let's calculate the number of wooden sticks and square feet of paper needed for the kite and the lamp separately.
For the kite:
- Number of wooden sticks: 222
- Square feet of paper: 1.5
For the lamp:
- Number of wooden sticks: 12
- Square feet of paper: 88
it takes 222 wooden sticks and 1.5 square feet of paper to make a kite, while it takes 12 wooden sticks and 88 square feet of paper to make a lamp.
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What i the conditional probability a randomly generated bit tring of length four contain at leat two conecutive zero,given that the firt bit i a 1. (aume that the probability of 0 and 1 are the ame)
The probability that a randomly generated bit string of length four contains at least two consecutive zeros, given that the first bit is a 1, is 1/8.
The probability of a randomly generated bit string of length four containing at least two consecutive zeros, given that the first bit is a 1, can be calculated by considering all of the possible combinations of four bits that meet this criteria. There are 8 possible combinations of four bits that contain two consecutive zeros and the first bit being a 1, so the probability of such a combination being chosen is 1/8. The probability of each individual bit being a 0 or a 1 is assumed to be the same, so the probability of any given combination is equal. Therefore, the probability of a randomly generated bit string of length four containing at least two consecutive zeros, given that the first bit is a 1, is 1/8.
P(2 consecutive 0s, given first bit is 1)
= (# of possible combinations with 2 consecutive 0s, given first bit is 1) / (total # of possible combinations)
P(2 consecutive 0s, given first bit is 1)
= 8 / (2^4)
P(2 consecutive 0s, given first bit is 1)
= 1/8
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For the coordinate (0,-3) the translation would be down 3.
A: True
B: False
Find the quotient.
420 = 6
Answer:
70
Step-by-step explanation:
Do you mean 420 ÷ 6
then the answer is 70
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PLZZ MARK BRAINLIEST
Question 2 of 10
The triangles shown below must be congruent.
45°
AA
45°
12
12
Ay True
Ο Ο
B. False
SUBMIT
Pls helppp
True. By AAS congruency the given triangles are congruent.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
From the given triangles,
Consider triangles ΔABC and ΔDEF,
∠A=∠D=45°
∠B=∠E=45°
BC=EF=12 units
By AAS congruency, ΔABC≅ΔDEF
True. By AAS congruency the given triangles are congruent.
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Inequality to Verbal
25 < y < 31
A. The domain is greater than 25 and less than or equal to 31.
B. The range is greater than or equal to 25 and less than 31.
f. The domain is greater than or equal to 25 and less than 31.
D. The range is greater than 25 and less than or equal to 31.
Answer:
D. The range is greater than 25 and less than or equal to 31.
Step-by-step explanation:
y is range
≤ = less than or equal to
< = less than
PLEASE ANSWER THIS RIGHT ASAP
Answer:
x=9
Step-by-step explanation:
23=7/9(6x-36)+9
Distribute 7/9.
23=14/3x-28+9
Add.
23=14/3x-19
Add 19 to both sides of the equation.
42=14/3x
Divide 14/3 from both sides of the equation.
X=9
Hope this helps :)
Fortunate Flakes, a popular kid's cereal, has rainbow, moon, sun, and cloud shaped marshmallows in it. A large box contains 150 marshmallows. There is an equal amount of sun and cloud marshmallows. There are three times as many moon marshmallows as there are rainbow marshmallows. There are twice as many rainbow marshmallows as there are sun marshmallows. How many moon marshmallows are there in a large box of Fortunate Flakes?
There are 90 moon marshmallows in a large box of Fortunate Flakes.
What is the number of moon marshmallows?Let the number of rainbow marshmallows = r
Let number of sun marshmallows = cloud marshmallows = s
Let the number of moon marshmallows = 3r
r + s + 3r + s = 150
4r + 2s = 150
If there are twice as many rainbow marshmallows as sun marshmallows, our new equation becomes;
r = 2s
4(2s) + 2s = 150
10s = 150
s = 150/10
s = 15
Now we have 15 sun marshmallows, 15 cloud marshmallows, and 2s = 30 rainbow marshmallows.
Also, there are 3r = 3(30) = 90 moon marshmallows.
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an inverse relationship in which one factor increases as another factor decreases represents?
A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).
15+26+56+19+17+19+9+19
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
Let g be a twice-differentiable function with g'(x) > 0 andg''(x) > 0 for all real numbers x, such that
g(4) = 12 and g(5) = 18. Of the following, which is apossible value for g(6)?
a. 15
b. 18
c. 21
d. 24
e. 27
A possible value for g(6) is 27. The only option greater than 18 is:
e. 27
To determine a possible value for g(6), we can make use of the given information and the properties of the function g(x).
Since g'(x) > 0 for all real numbers x, we know that g(x) is strictly increasing. This means that as x increases, g(x) will also increase.
Furthermore, since g''(x) > 0 for all real numbers x, we know that g(x) is a concave up function. This implies that the rate at which g(x) increases is increasing as well.
Given that g(4) = 12 and g(5) = 18, we can conclude that between x = 4 and x = 5, the function g(x) increased from 12 to 18.
Considering the properties of g(x), we can deduce that g(6) must be greater than 18. Since the function is strictly increasing and concave up, the increase from g(5) to g(6) will be even greater than the increase from g(4) to g(5).
Among the given answer choices, the only option greater than 18 is:
e. 27
Therefore, a possible value for g(6) is 27.
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A direct variation includes the points (5,10) and (1,n). Find n.
Write and solve a direct variation equation to find the answer.
Could you please solve these? I will give five stars if correct.
9x−17=3x+7 Solve for x
−7b−1=−5(b+3) Solve for b
Answer:
x=4 b=-4/3
Step-by-step explanation:
for b you simplify both sides of the equation, and then you get -7b - 1 = 5B + 15 then you subtract 5 from both sides which gets you to -12b - 1 = 15 then you divide both sides by negative 12 which would be negative 12 b - -12 = 16-12 which gives you the answer of -4/3.
for x you would subtract 3x from both sides which gets you to 6x - 17 = 7 and then you would add 17 to both sides which would give you 6X = 24 and then you would divide both sides by 6 which would give you x = 4
The width of bolts of fabric is normally distributed with mean 952 mm (millimeters) and standard deviation 10 mrm (a) What is the probability that a randomly chosen bolt has a width between 941 and 957 mm? (Round your answer to four decimal places.) (b) What is the appropriate value for C such that a randomly chosen bolt has a width less than C with probability 0.8749? (Round your answer to two decimal places.)
a. Using the calculated z-score, the probability that a randomly chosen bolt has a width between 941 and 957 mm is approximately 0.5558.
b. The appropriate value for C such that a randomly chosen bolt has a width less than C with probability 0.8749 is approximately 963.5 mm.
What is the probability that a randomly chosen bolt has a width between 941 and 957mm?(a) To find the probability that a randomly chosen bolt has a width between 941 and 957 mm, we can use the z-score formula and the standard normal distribution.
First, let's calculate the z-scores for the given values using the formula:
z = (x - μ) / σ
where:
x is the value (941 or 957)μ is the mean (952)σ is the standard deviation (10)For x = 941:
z₁ = (941 - 952) / 10 = -1.1
For x = 957:
z₂ = (957 - 952) / 10 = 0.5
Next, we need to find the probabilities corresponding to these z-scores using a standard normal distribution table or a calculator.
Using the standard normal distribution table, we find:
P(z < -1.1) ≈ 0.135
P(z < 0.5) ≈ 0.691
Since we want the probability of the width falling between 941 and 957, we subtract the two probabilities:
P(941 < x < 957) = P(-1.1 < z < 0.5) = P(z < 0.5) - P(z < -1.1) ≈ 0.691 - 0.135 = 0.5558
Therefore, the probability that a randomly chosen bolt has a width between 941 and 957 mm is approximately 0.5558.
(b) To find the appropriate value for C such that a randomly chosen bolt has a width less than C with probability 0.8749, we need to find the z-score corresponding to this probability.
Using a standard normal distribution table or calculator, we find the z-score corresponding to a cumulative probability of 0.8749 is approximately 1.15.
Now, we can use the z-score formula to find the value of C:
z = (x - μ) / σ
Substituting the known values:
1.15 = (C - 952) / 10
Solving for C:
C - 952 = 1.15 * 10
C - 952 = 11.5
C ≈ 963.5
Therefore, the appropriate value for C such that a randomly chosen bolt has a width less than C with probability 0.8749 is approximately 963.5 mm.
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Catherine earns $11.30 per hour working at the florist shop. Overtime pay is 1.5 times regular
pay. Catherine agreed to work overtime on Saturday. How much will he earn per hour?
Answer:
$16.95 per hour
Step-by-step explanation:
11.30 x 1.5 = 16.95
Helping in the name of Jesus.
Answer: $16.95
Step-by-step explanation: 11.30 x 1.5 = 16.95
Charlie and his sister Samantha opened savings accounts at different banks on the same day. Charlie deposited $785 into his account that earns 3.6% interest compounded annually. Samantha deposited $900 into her account that earns 3.1% simple interest. Which statement best compares the interest that Charlie and Samantha will have earned in their savings accounts after 5 years?
Answer:I Don't Know
Step-by-step explanation:#1 Give up
#2 Keep thinking
#3 ask someone for help
Convert 4.5 x 104 to decimal format.A) 45,000 B) 4,500 C) 0.00045 D) 0.0045 E) 0.000450
After converting \(4.5 * 10^4\) to decimal format, one gets 45,000 as an answer. Thus, option (A) is the correct answer.
To convert numbers multiplied by 10 with having an exponent number to decimal format, one first needs to check the sign on the exponent.
If the sign is positive, we must shift the decimal to the right with each power of 10. The exponent indicates the number of zeros added after the number in case no decimal is used.
And if the sign is negative, we have to shift the decimal to the left with each power of 10. One has to divide the number by the number one gets after multiplying 10 by itself as many times as the exponent.
Therefore, to convert \(4.5 * 10^4\) to decimal format, we shift the decimal by 4 places and we get 45,000 as the answer.
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Find the volume of the cylinder
Answer:
48π or 150.72
Step-by-step explanation:
The formula for the volume of a cylinder is V=πr^2h
Simply plug in the values:
V = π4^2 * 3
The answer, in terms of pi, would be:
V = 48π
However, if you use 3.14 for pi, it would be:
V = 150.72
B is the midpoint of AB. If the coordinates of B are (11,20) and A are (3,8) what are the coordinates of C?
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{3}~,~\stackrel{y_1}{8})\qquad C(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +3}{2}~~~ ,~~~ \cfrac{ y +8}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE B}}{(11~~,~~20)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +3}{2}=11\implies x+3=22\implies \boxed{x=19} \\\\\\ \cfrac{ y +8}{2}=20\implies y+8=40\implies \boxed{y=32}\)
Each dot in the following dot plot represents the height of one toddler at Mrs. Orlando's daycare.
Find the interquartile range (IQR) of the data in the dot plot.
Answer: 1.5
Step-by-step explanation:
The interquartile range (IQR) is a measure of statistical dispersion and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). For the given dot plot data of the toddler's heights, the data would first be arranged in ascending order, then divided into two halves below and above the median to determine the first and third quartiles.
Explanation:To find the interquartile range (IQR) in the dot plot data of the toddler's heights at Mrs. Orlando's daycare, we first need to understand what the IQR represents. The Interquartile Range is a measure of where the bulk of the values lie in a data set. It's computed by subtracting the first quartile (Q1) from the third quartile (Q3).
As a first step, you would arrange the data points in ascending order. The median would give us the second quartile (Q2). The data set is then divided into two halves, below and above the median. The first quartile (Q1) is the median of the lower half and the third quartile (Q3) is the median of the upper half. Finally, subtract Q1 from Q3 to find the IQR.
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PLEASE HELP!! 20 POINTS!!
What is 19 / 3/4?
Answer:
76/3
Step-by-step explanation:
Simplify the following:
19/(3/4)
Multiply the numerator of 19/(3/4) by the reciprocal of the denominator. 19/(3/4) = (19×4)/3:
(19×4)/3
19×4 = 76:
Answer: 76/3 or 25 1/3
Answer:
≅ 25.3
or
76/3
Explanation:
19 / 3/4
19 × 4/3
19/1 ×4/3
19 × 4 / 1 × 3
76 / 3
≅ 25.3 or 76/3
of
The test scores for a group
pupils are as folows:
7, 4, 3, 9, 1,8, 4, 5, 4 what is the modal Score?
Answer:
4
Step-by-step explanation:
Modal is the most common number. There's 3 4s so 4 is the modal
Find the domain and range of the function.
A
B
C
D
A hemisphere is placed on top of a cylinder with the same radius. The height of the cylinder is 10 inches and the radius is 3 inches. A hemisphere on top of a cylinder. What is the volume of this composite figure? Use the π button on your calculator to determine the answer. Round your answer to the hundredths place. The volume is approximately in3.
The composite figure has a volume of 339.29 cubic inches.
How to find the volume of the composite figure?We can break down the composite figure into two parts: a cylinder and a hemisphere.
The volume of the cylinder is given by the formula \(V = \pi r^2h,\) where r is the radius and h is the height. Substituting r = 3 in and h = 10 in, we get:
\(V_{cylinder} = \pi (3 in)^2(10 in) = 90\pi in^3\)
The volume of the hemisphere is given by the formula \(V = (2/3)\pi r^3.\) Since the hemisphere has the same radius as the cylinder, we can substitute r = 3 in:
\(V_{hemisphere} = (2/3)\pi (3 in)^3 = 18\pi in^3\)
To find the total volume of the composite figure, we add the volume of the cylinder and the hemisphere:
\(V_{total} = V_{cylinder} + V_{hemisphere} = 90\pi in^3 + 18\pi in^3 = 108\pi in^3\)
Rounding to the hundredths place, we get \(V_{total}\approx 339.29 in^3.\)
Therefore, the volume of the composite figure is approximately 339.29 cubic inches.
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Darin wants to put a fence around his garden how much fencing should he buy.
Answer:
I don't know. How much he wants I guess.
Step-by-step explanation:
Why would a mutual fund, a collection of stocks, bonds, and other securities, have less risk than investing in stocks alone?
Answer:
Mutual funds, collections of stocks, bonds, and other securities, have less risk than investing in stocks alone because of the risk associated with the ever-changing market.
Step-by-step explanation:
got 100% on edge