The original number, to the nearest tenth, is approximately 46.5. When the number 43 percent the rest of 20.
To find the original number when 43% of it is equal to 20, we can set up an equation and solve for the original number.
Let's denote the original number as x.
According to the problem, 43% of x is equal to 20. We can express this as an equation:
0.43x = 20
To find the value of x, we divide both sides of the equation by 0.43:
x = 20 / 0.43
x ≈ 46.51
Therefore, the original number, to the nearest tenth, is approximately 46.5.
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When interpreting f(7, 31) = 4.78, p > 0.05, how many subjects were tested in this simple one-way anova?
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
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Ryan has a collection of 216 baseball cards. He lets his brother have 1/3 Ryan has a collection of 216 baseball cards. He lets his brother have 1/3 of his collection and takes 27 cards to school to give his friends. How many baseball cards remain in Ryan's collection? 127 cards 90 cards 117 cards 126
Answer:
117 cards
Step-by-step explanation:
Total number of cards in the collection of Ryan = 216
Number of cards given to his brother = ⅓ of 216 = ⅓ × 216 = 216/3 = 72
Number of cards given to his friend at school = 27
Number of baseball cards that Ryan has remaining = 216 - (72 + 27)
= 216 - 99
Number of cards remaining = 117 cards
Let a, b, c, m and n be integers. Prove that if a|b and a|c, the a|(bm + cn)
If a divides b and a divides c, then a divides (bm + cn).
To prove that if a divides b and a divides c, then a divides (bm + cn), we can use the properties of divisibility.
Given:
a|b, which means b is divisible by a.
a|c, which means c is divisible by a.
We want to show that a|(bm + cn), which means (bm + cn) is divisible by a.
By definition, if a divides b, then there exists an integer k₁ such that b = ka. Similarly, if a divides c, there exists an integer k₂ such that c = ka.
Now, let's substitute these expressions into (bm + cn):
(bm + cn) = (ka)m + (ka)n
= kam + kan
= a(km + kn)
We can see that (bm + cn) can be written as a times the integer (km + kn). Since (km + kn) is an integer, this implies that (bm + cn) is divisible by a.
Therefore, if a divides b and a divides c, then a divides (bm + cn).
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geometry unit exam a garden wall is 4 feet in height and has a 6-foot shadow. a tree in the garden casts a 24-foot shadow at the same time of day. what is the height of the tree?
The height of the tree is 16 feet if it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.
The shadows at the same time of the day can be compared for the garden wall and a tree as follows;
tree shadow / tree height = wall shadow / wall height
As the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;
24 / x = 6 / 4
Here x represents the height of the tree
Solving for x;
24 / x = 1.5
24 = 1.5 x
x = 24 / 1.5
x = 16
Therefore the height of the tree is calculated to be 16 feet.
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The height of the tree is 16 feet when it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The shadows at the same time of the day can be compared for the garden wall and a tree is given by;
tree shadow / tree height = wall shadow / wall height
Since we know that the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;
24 / x = 6 / 4
Here x represents the height of the tree
Solving for x,
24 / x = 1.5
24 = 1.5 x
x = 24 / 1.5
x = 16
Therefore, the height of the tree is calculated to be 16 feet.
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Your hospital has just reset the safety stock level for sleeping pills to be 220 pills.
If your hospital consumes an average of 1,155 per day with a standard deviation of 81 pills, what is the chance that your hospital will run out of sleeping pills on any day? (Keep four decimal places in your answer, which should be a number not a percentage)
The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).
To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.
First, let's calculate the Z-score using the formula:
Z = (X - μ) / σ
Where:
X = consumption rate per day (1,155 pills)
μ = average consumption rate per day (1,155 pills)
σ = standard deviation (81 pills)
Z = (1,155 - 1,155) / 81
Z = 0
Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.
We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.
To find the probability of running out of sleeping pills, we subtract this probability from 1:
Probability of running out of sleeping pills = 1 - 0.5000
Probability of running out of sleeping pills = 0.5000
Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.
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should the confidence interval of my regression be the same even if i change the regression coefficient
No, the confidence interval of the regression will not be the same even if the regression coefficient is changed.
A confidence interval is a value set that typically consists of the acutal population parameter value. this to a certain degree. The parameter range that the actual population coefficient is most likely to fall within is deciphered by the confidence interval for a regression coefficient. The interval for a regression coefficient is built employing the estimate of the coefficient and its standard error. The standard error is influenced by the data's variability as well as the number of observations required to calculate the coefficient.
If the regression coefficient varies, the estimate's standard error and, consequently, the confidence interval, will also alter. Therefore, if the regression coefficient fluctuates, the confidence interval will also shift. A larger coefficient may lead to a broader confidence interval if the estimate's standard error rises; on the other hand, a smaller coefficient may lead to a narrower interval if the estimate's standard error decreases.
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Solve the equation using the zero-product property. (2x − 8)(7x + 5) = 0 x = –2 or x = 7 x = –4 or x = x = 4 or x = x = 4 or x =
Answer:
x = 4 or x = - \(\frac{5}{7}\)
Step-by-step explanation:
Given
(2x - 8)(7x + 5) = 0
Equate each factor to zero and solve for x
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4
7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - \(\frac{5}{7}\)
is not on land, but in the middle of a frozen ocean.
The most likely explanation for something being in the middle of a frozen ocean is that it is located on an ice floe or iceberg.
These large pieces of floating ice can break off from glaciers or polar ice caps and drift into the ocean. It is important to note that while the ocean may be frozen,
it is still an active and dynamic environment that can pose dangers and challenges for any structures or vehicles that are located there.
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What is the value of m in the following equation? m 3= 1 125 m=
Step-by-step explanation:
I will assume this is m^3 = 1125
take cube root of both sides of the equation to get : m = ~ 10.4
when a researcher wants to know the proportion of all observations that fall within a particular bin they would need the
Relative frequency is a useful tool for understanding the distribution of data and can be used to create histograms, bar charts, and other visualizations to represent the data.
What is Statistic?Statistic is the study of mathematics that deals with relations between comprehensive data.
When a researcher wants to know the proportion of all observations that fall within a particular bin, they would need the relative frequency of the bin.
Relative frequency is the proportion of observations that fall within a particular bin compared to the total number of observations. It is calculated by dividing the number of observations in the bin by the total number of observations. The result is expressed as a decimal or a percentage.
For example, if a researcher has 100 observations and 30 of them fall within a particular bin, the relative frequency of the bin would be 0.3 or 30%. This indicates that 30% of the observations fall within that bin.
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math problem screen picture
A rectangular playground has a width of 540 feet and a length of 810 feet. Martina makes a scale model of the playground using a scale of 4cm: 30ft.
What are the dimensions of Martina's scale model?
Please help I will give brainliest and a lot of points :)
The inequality shaded in the graph is given as follows:
y ≥ 5x/2 + 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = 3.
When x increases by 2, y increases by 5, hence the slope m is given as follows:
m = 5/2.
Then the equation of the line is given as follows:
y = 5x/2 + 3.
The line is a solid line, and values above it are plotted, hence the inequality is given as follows:
y ≥ 5x/2 + 3.
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rubber stamps are mid someone help asap
If you need assistance with rubber stamps, please provide more specific details about your issue.
How do I use rubber stamps effectively?If you need help with rubber stamps, here's a quick overview. Rubber stamps are commonly used for imprinting designs or information onto surfaces.
They consist of a rubber or polymer stamping surface attached to a handle. To use a rubber stamp, ink is applied to the surface, and then it is pressed onto the desired material. Rubber stamps can be customized with various designs, logos, or text.
They are often used for crafts, office documentation, or personalization purposes. If you require further assistance, please provide more specific details about the issue you are facing, and I'll be glad to help you as soon as possible.
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a fair die with its faces numbered from 1 to 6 will be rolled. which of the following is the best interpretation of the probability that the number landing face up will be less than 3 ?
When a fair die with faces numbered 1 to 6, the probability that the number landing face up is less than 3 is 1/3.
The probability measures how likely an event to occur. The probability of an event A is defined as:
P(A) = number of ways that event A can occur / all possible outcomes
In the given problem, let x be any number of die's face, then
number of ways x will show up = 1
all possible outcomes = 6
Hence,
P(x) = 1/6
Numbers that are less than 3 is 1 and 3. Therefore,
P (x<3) = P(1) + P(2)
P (x<3) = 1/6 + 1/6 = 2/6 = 1/3
Therefore, we can conclude that the probability that the number landing face up is less than 3 is 1/3
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An angle measures 114° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
66°
Step-by-step explanation:
x+114°=180°
x+114°-114°=180°-114°
x=66°
1. Let f (x) = 2x + 1/3x Is f one-to-one? Justify your
answer.
This function f(x) = (2x + 1) / (3x) is not one-to-one.
Suppose we have two distinct elements a and b in the domain of the function f such that f(a) = f(b). We must demonstrate that this implies
a = b. In this case, we have f(a) = f(b) implies
(2a + 1)/(3a) = (2b + 1)/(3b)
Now cross-multiplying and simplifying, we get:
2ab + b = 2ab + a3b/3a => 3a(2ab + b)
= 3b(2ab + a)
=> 6a²b + 3ab
= 6b²a + 3ab
=> 6a²b
= 6b²a => a = b
If the above equation is valid for some pair of values (a,b), then f is not one-to-one because it maps two different domain values to the same range value. Therefore, the function f(x) = (2x + 1) / (3x) is not one-to-one.
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Find the x-and y-intercepts of the graph of 2x - 10y = 36. State your answers as
whole numbers or as improper fractions in simplest form.
Answer:
(18,0)
(0,-3.6)
Step-by-step explanation:
Find the x-intercept:
2x - 10(0) = 36
2x = 36
/2 /2
x=18
(18,0)
Find the y-intercept:
2(0)- 10y = 36
10y=36
/10 /10
y = -18/5 or y = -3.6
(0,-3.6)
Evaluate for z
11 + 3/5z = 38
Answer:
45
Step-by-step explanation:
Combine 3/5 and z
Move all terms not containing z to the right side of the equation.
3z/5=27
Multiply both sides of the equation by 5/3
Simplify both sides of the equation.
z=45
Does anyone know how to fill this out?
what is the proability of a blue jay being the next bird papa sees
Question
each morning papa notes the birds feeding on his birdfeeder. so far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal. What is the probability of a blue jay being the next bird papa sees?
Answer:
Probability is the chance of an event occuring. It is obtained by the formula number of outcomes / total number of possible outcomes. The probability of a blue jay being the next bird papa sees is given by number of blue jays / total number of birds = 59 / (59 +68 + 12 + 1) = 59 / 140 = 0.4214
What is the slope of the line? Just put the number that represents the
slope (no units). *
Answer:
3/3 or just 3.
Step-by-step explanation:
everytime the line crosses the x and y coordinates is basically a plot. so counting from the bottom left hand corner to the "plot" in the middle is 3/3 because it rises three and runs positive 3.
h(x) = x2 + 3. Is frl a function and why/why not?
No, the inverse function does not pass the horizontal line test.
No, the inverse function does not pass the vertical line test.
Yes, the inverse function has one y-value for every x-value.
Yes, the inverse function has one x-value for every y-value.
is good answer the x value and y value
Answer:
No, the inverse function does not pass the horizontal line test.
Step-by-step explanation:
Find the volume and surface area of the figure below.
The volume of the prism is determined as 1,416 m³ and the surface area of the prism is 664.8 m².
Volume of the prismThe volume of the prism is determined from the product of base area and slant height of the prism.
Base of the prism, A = ¹/₂bh = ¹/₂ x 12 x 20 = 120 m²
Volume = AL
where;
L is the slant heightL² = (12/2)² + (20.3/2)²
L² = 6² + 10.15²
L² = 139.0225
L = 11.8 m
V = AL
V = 120 x 11.8 = 1,416 m³
Surface area of the prismA = bh + pL
A = (12 x 20) + 11.8(12 + 12 + 12)
A = 664.8 m²
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even betteerrrr u guys like it <3
Answer:
ummm
Step-by-step explanation:
what's that???
quiet didnt get it lol¿
Malik’s solution to the equation , when , is shown below.
Question: What is the Question?
You own a fish store with 478 fishes. You put the same number of fish into 17 tanks, but there are 2 fishes left over. How many fishes are in each tank?
Answer:
10
Step-by-step explanation:
478-2=476
476÷17= 10
therefore you put 10 fish in each tank.
Let me know if this helps:)
Answer:
10
Step-by-step explanation:
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The regular expression is ^(a(aa)*b)$.
Find Regular expression for odd 'a's, ending with 'b'?To create a regular expression for the language L = {w = {a,b}* | w has an odd number of 'a's and ends with 'b'}, we can use the following expression:
^(b|(a(aa)*b))$
Breaking it down:
^ indicates the start of the string.
(b|(a(aa)*b)) matches either 'b' or a sequence of 'a's followed by an odd number of 'a's and 'b'.
(aa)* matches zero or more pairs of 'a's.
$ indicates the end of the string.
This regular expression ensures that the string starts with 'b' or a sequence of 'a's, followed by an odd number of 'a's, and ends with 'b'. Any additional characters or sequences in between are not allowed.
Please note that regular expressions can have different notations and conventions depending on the context or programming language you're using. The expression provided here follows a general pattern that should work in most cases.
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Which of the following is the inverse of the statement, "If i listen to this song, then it will get stuck in my head"?
If it gets stuck in my head, then i listened to the song.
5 ≤ 12 - m, if m = 8
Answer:
5 ≤ 12 - m
5 ≤ 12 - 8
5 ≤ 4
Therefore, it is false statement
Step-by-step explanation:
If you than please mark me brainliest thanks
The given statement is false.
The given statement is 5 ≤ 12 - m, if m = 8.
What is a inequality?Inequalities 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.
Now, replacing m by 8 in the given inequality, we get
5 ≤ 4
Therefore, the given statement is false.
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