Answer:
Answer is 50g/cm^3
Step-by-step explanation:
soln,
Volume of the gold cube = 9 cm^3
Mass of the gold cube = 450 g
now,
density= mass/volume
=450 / 9
=50 g/cm^3
{Therefore, the density of the gold cube is 50 g/cm^3.}
Translate the following into an algebraic expression:
5 more than a number
5x
x/5
x-5
x+5
Answer:
x+5 is the right answer because it says 5 more than a number
Help. Answer this please!
Answer:
b
Step-by-step explanation:
hard to explain right here sorry man
The fundamental question addressed by the correlational method is
a. "Does variable A cause variable B?"
b. "How is a control group influenced by the absence of an independent variable?"
c. "What impact does random assignment have on psychological behavior?"
d. "Are two or more variables related in some systematic way?"
The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.
Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.
For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.
It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.
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-16<8/3t solve the inequality
PLEASE DO IT QUICK
Answer: (-6, infinty)
Step-by-step explanation:
A cone-shaped paper drinking cup is to be made to hold 36 cm3 of water. Find the height and radius of the cup (in cm) that will use the smallest amount of paper. (Round your answers to two decimal places.) height cm radius cm
The height and radius of the cup are 4.41 cm and 2.07 cm respectively
To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3} πr^{2} h = 36 cm^{3}\)
Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)
Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2} }\)
Substituting the expression for h, we get:
\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)
To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) = \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5} }] - \frac{108π}{r^2 } = 0\)
Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)
Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)
Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)
Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)
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Solve for x in the figure below
33
2x + 30
41
Given:
An exterior angle of a triangle = 2x+30°
Two opposite interior angles are 33° and 41°.
To find:
The value of x.
Solution:
According to the exterior angle thereom, the exterior angle of a triangle is equal to the sum of opposite interior angles.
Using exterior angle theroem, we get
\((2x+30)^\circ=33^\circ+41^\circ\)
\((2x+30)^\circ=74^\circ\)
\((2x+30)=74\)
On further simplification, we get
\(2x=74-30\)
\(2x=44\)
\(x=\dfrac{44}{2}\)
\(x=22\)
Therefore, the value of x is 22.
Help plz..And No links!! I repeat No links!!
Answer:
it is 12 yards .hnuhbuy yg7ygbv bghh
Which line below is parallel to the line that y = 1/2x - 2?
A) y = 1/2x + 2
B) y = -1/2x + 2
C) y = 1/2 - 2x
D) y= 1/2 + 2x
Answer:
The answer is b
Step-by-step explanation:
Bc it is just basicly the x and y axis
If Paula divides her pencils among three friends and herself, everyone gets the same number of pencils. If Paula divides her pencils among
five friends and herself, everyone will get the same number of pencils.
How many pencils could Paula have?
A 28
B. 30
C. 42
D. 48
A baseball player gets a hit 40% of the time if the weather is nice but only 20% of the time if it is cold or windy. The weather forecast shows a 70% chance of being nice, 20% chance of being cold, and 10% chance of being windy. What is the probability that the baseball player will get a hit?
Answer:
34%.
Step-by-step explanation:
Chance he gets a hit of the weather is nice = 0.40 * 0.70 = 0.28.
or if its windy the chance he gets hit is 0.10 * 0.20 = 0.02.
Chance its cold and he gets a hit = 0.2 * 0.2 = 0.04,
So the chance he gets a hit = 0.28 + 0.02 + 0.04
= 0.34 = 34%.
A movie theater in town posted these prices for tickets and snacks.
A 2-column table with 7 rows. Column 1 is labeled Item with entries adult ticket, child ticket, drink, popcorn, veggie cup, soft pretzel, apple slices. Column 2 is labeled cost (dollars) with entries 9, 6, 1.35, 3.50, 1.74, 2.65, 3.85.
Sally and Anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Which expression can be used to find how much money each woman spent?
One-half (9 + 1.35 + 3.50 + 1.74)
9 + 1.35 + one-half (3.50 + 1.74)
18 + 2.70 + one-half (3.50 + 1.74)
9+1.35+2(3.50+1.7)
Answer:
9 + 1.35 + one-half (3.50 + 1.74)
Step-by-step explanation:
Sally pay
9 - adult ticket
1.35 - drink
1/2 ( 3.50 popcorn + 1.74 veggie cup)
= 9 + 1.35 + 1/2(3.50 +1.74)
What is the area of a regular pentagon if its apothem has a length of 4 feet and each side has a length of 5.8 feet?
a 139.2 ft?
b. 58 ft2
C. 116 ft2
d 69.6 ft-
The area of a regular pentagon is 58 ft2. thus option B is correct.
What is apothem?Apothem for a regular polygon is a line segment that originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon.
It is perpendicular to the regular polygon's side it touches.
Given; An apothem has a length of 4 feet and each side has a length of 5.8 feet.
The area of any regular polygon can be calculated as:
Area = number of sides (n) x 0.5 x length of sides (s) x apothem (a)
Area = 5 x 0.5 x 4 x 5.8
Area = 58
Hence, the area of a regular pentagon is 58 ft2. thus option B is correct.
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(04.03) The graph shows the amount of money paid when purchasing bags of candy at the zoo: Total cost a Bags of Candy Write an equation to represent the relationship between the total cost (y) and the number of bags of candy (x).
A: y= 1 over 2 x
B: y= 2x
C: y=3x
D: y = 1 over 3 x
Answer:
B
Step-by-step explanation:
Slope of the line
(y2 - y1)/(x2 - x1)
(4-2)/(2-1)
2/1 =2
y = 2x
At the movies, John was sent to the lobby to buy refreshments for his friends. Some wanted popcorn which sold for 50 cents a bag and others wanted caramel corn which was 75 cents a bag. If John bought 9 bags and spent $5.00, how many of each kind of bag did he buy?
If John bought 9 bags and spent $5.00, using simultaneous equations, the number of each kind of bag he bought is 7 bags of popcorn and 2 bags of caramel corn.
What are simultaneous equations?Simultaneous equations are two or more equations solved simultaneously or concurrently.
When two or more equations are solved at the same time, they are described as simultaneous equations or a system of equations.
The cost of popcorn per bag = $0.50
The cost of caramel corn per bag = $0.75
The total number of bags bought = 9
The total cost of the 9 bags = $5
Let the number of bags of popcorn = p and the number of caramel corn = c
Equations:0.5p + 0.75c = 5 ... Equation 1
p + c = 9 ... Equation 2
Multiply Equation 2 by 0.5:
0.5p + 0.5c = 4.5 ... Equation 3
Subtract Equation 3 from Equation 1:
0.5p + 0.75c = 5
-
0.5p + 0.5c = 4.5
0.25c = 0.5
c = 2
p = 9 - 2
= 7
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choices:
x=360-114
x=114-90
360=x +90+114
Answer:
see explanation
Step-by-step explanation:
The sum of the angles around D = 360° , then
x = 360 - (114 + 90) ← equation to find x
= 360 - 156
= 204
2. What is the 50th term in the sequence t(n) = 2 + 8n?
Answer:
402?
2+ 8(50)?
not sure
Step-by-step explanation:
if so mark the brainliest!
Which of the following properties are true for rigid transformations?
i. Increases or decreases the size of the figure
ii. Moves the location of the figure.
iii. Changes the shape of the figure
O ii only
O i and ii
O ii and in
O i, ii, and in
Answer:
The first choice is correct. ii only.
Step-by-step explanation:
A rigid transformation changes the location of the shape without changing its size. There are three basic rigid transformations: reflections, rotations, and translations.
We are given these properties:
i. Increases or decreases the size of the figure
ii. Moves the location of the figure.
iii. Changes the shape of the figure.
Let's analyze each choice below:
O ii only . This is true. The other two properties are non-rigid transformations. Correct
O i and ii . This is not true. Increasing or decreasing the size of the figure is a non-rigid transformation. Incorrect.
O ii and iii. Changing the shape of the figure is a non-rigid transformation. Incorrect.
O i, ii, and iii. Properties i and iii are non-rigid transformation. Incorrect.
a circle is inscribed in a unit square. a smaller square is then inscribed within the circle. what is the side length of the smaller square?
To solve this problem, we need to use some basic geometry concepts. First, we know that the diagonal of a unit square is the square root of 2, since the sides are of length 1. The side length of the smaller square inscribed within a circle inscribed in a unit square is 1.
Next, we know that the circle inscribed in the square will have a diameter equal to the diagonal of the square, which is the square root of 2. The radius of the circle will therefore be half of the diameter, which is sqrt(2)/2.
Now we can use the radius of the circle to find the side length of the smaller square inscribed within it. If we draw the diagonal of the smaller square, it will be twice the radius of the circle, or sqrt(2). This is because the diagonal of the square passes through the center of the circle and therefore has a length equal to twice the radius.
We can then use the Pythagorean theorem to find the length of each side of the smaller square. If we let x be the side length of the smaller square, then we have:
x^2 + x^2 = 2
2x^2 = 2
x^2 = 1
x = 1
Therefore, the side length of the smaller square is 1, which makes sense since it is inscribed within a unit square.
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Need help with this homework question
what kind of distribution is the t distribution? a. continuous b. discrete c. subjective d. z distribution
The t-distribution is a continuous kind of distribution. Hence, the correct option for this question is option a.
The t-distribution was developed by English statistician William Sealy Gosset with an alias 'Student'. Hence, it is also known as Student's t- distribution.
In probability and statistics, Student's t-distribution is said to be any member of a family of continuous probability distributions. For example when they arise while estimating the mean of a normally distributed population in situations where the population's standard deviation is unknown and the sample size is small. The t-distribution is symmetric and looks like a bell-shaped graph, just like the normal distribution.
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25 fewer than twice a number?
Answer:
2x - 25
Step-by-step explanation:
Since we don't know what the number is, just call it x. Twice x can be written as 2x and 25 fewer than 2x is 2x - 25.
Suppose on a specific street, the mean (average) speed of cars is 43 miles per hour and standard deviation 2.7 miles per hour.
Suppose 55 cars are randomly selected and the mean speed computed. Let it be X¯. The sampling distribution of X¯ follows Normal distribution.
Mean of X¯ is mph.
Standard deviation of X¯ is mph. Round to 2 decimals.
In the sample of 55 cars, what is the probability that the mean speed is between 42.5 and 43.5 miles per hour? Round to 2 decimal.
In the sample of 55 cars, what is the probability that the average speed is more than 44 miles per hour? Round to 3 decimals.
The probability that the mean speed is between 42.5 and 43.5 miles per hour is 0.80 (rounded to 2 decimal places)The probability that the average speed is more than 44 miles per hour is 0.001 (rounded to 3 decimal places).
Given: The mean (average) speed of cars is 43 miles per hour and the standard deviation is 2.7 miles per hour. And, 55 cars are randomly selected and the mean speed is computed. Let it be X¯. The sampling distribution of X¯ follows the Normal distribution. The Mean of X¯ is mph. The standard deviation of X¯ is mph. Round to 2 decimals.
Now, to find the probability, we use the standard normal distribution for the sample size n > 30. Here, n = 55Mean of sampling distribution, μx¯ = μ = 43 mph standard deviation of sampling distribution, σx¯ = σ/√n = 2.7/√55 mphThe z-score formula is given by; z = (x - μx¯)/σx¯So,
1. To find the probability that the mean speed is between 42.5 and 43.5 miles per hour: We need to find;P(42.5 ≤ x ≤ 43.5). We will convert the limits into z-score to use standard normal table.
z1 = (42.5 - 43)/(2.7/√55) = -1.7z2 = (43.5 - 43)/(2.7/√55) = 1.7
Now, P(42.5 ≤ x ≤ 43.5) = P(-1.7 ≤ z ≤ 1.7. )From the standard normal table,
P(-1.7 ≤ z ≤ 1.7) = 0.8990 - 0.1010= 0.7980.
Therefore, the probability that the mean speed is between 42.5 and 43.5 miles per hour is 0.80 (rounded to 2 decimal places).
2. To find the probability that the average speed is more than 44 miles per hour:
We need to find;P(x > 44), We will convert the limits into z-score to use the standard normal table.
z = (44 - 43)/(2.7/√55) = 3.15. Now, P(z > 3.15) = 0.0009 (rounded to 3 decimal places).
Therefore, the probability that the average speed is more than 44 miles per hour is 0.001 (rounded to 3 decimal places).
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Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Answer:
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \(\mathbf{y=-\frac{2}{3}x+3 }\)
Step-by-step explanation:
We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
The general equation in slope-intercept form is: \(y=mx+b\) where m is slope and b is y-intercept.
Finding Slope:
Both the equations given are parallel. So, they will be having same slope.
Slope of given equation y= - 2/3x is m = -2/3
This equation is in slope-intercept form, comparing with general equation \(y=mx+b\) where m is slope , we get the value of m= -2/3
So, slope of required line is: m = -2/3
Finding y-intercept:
Using slope m = -2/3 and point (-3,5) we can find y-intercept
\(y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3\)
So, we get b = 3
Now, the equation of required line having slope m = -2/3 and y-intercept b =3
\(y=mx+b\\y=-\frac{2}{3}x+3\)
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \(\mathbf{y=-\frac{2}{3}x+3 }\)
Answer:
\(\displaystyle y = -\frac{2}{3}x + 3\)
Step-by-step explanation:
5 = –⅔[–3] + b
2
\(\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3\)
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.
I am joyous to assist you at any time.
1 4/5 = 2/5 + r HELPPPPPPPPPPPPPPPPPPPPP
Answer:
r=7/5
Step-by-step explanation:
Practice 2.7.4 Modeling: Similarity Theorems I'm really confused and I need help! or I will not graduate :/ I'm actually a senior :(
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Please help!
I need the answer ASAP
Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called.
Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.
Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.
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A pharmacy claims that the average medication costs $32, but it could differ by as much as $8. Write an absolute value inequality to determine the range of medication costs at this pharmacy.
Answer:
| 32 - c | \(\leq\) 8
Step-by-step explanation:
c represents the cost of the medication
This absolute value inequality makes sure that the difference is less than or equal to 8, whether or not the medication is $8 more or less than the average.
Answer:[x - 32] <(with line under it) 8
Step-by-step explanation:
Groups of twenty to thirty people, composed of representatives
from multiple different subgroups will be able to work more
effectively than a group of six to eight people.
True or false
The statement suggesting that larger groups are more effective than smaller groups is false. Smaller groups tend to have better communication, efficiency, and individual participation.
The statement suggests that larger groups, specifically groups of twenty to thirty people with representatives from multiple subgroups, are more effective than smaller groups of six to eight people. However, this statement is generally considered false for several reasons:
Communication and coordination:Larger groups can face challenges in communication and coordination. With more members, it becomes more difficult to ensure effective information sharing, active participation, and clear decision-making. Small groups often have better communication and coordination due to fewer individuals involved.
Efficiency and productivity:Smaller groups tend to be more efficient and productive. In larger groups, there can be increased time spent on managing diverse opinions and reaching consensus, which can slow down the decision-making process and hinder productivity. Smaller groups can often make quicker decisions and accomplish tasks more efficiently.
Individual participation:Larger groups may result in reduced individual participation. Some members may feel less inclined to contribute or may be overshadowed by more dominant personalities. In smaller groups, each member can have a more significant impact and be actively engaged in the group's work.
Group dynamics and cohesion:Smaller groups tend to foster better group dynamics and cohesion. It is easier for members to develop strong relationships, trust, and a shared sense of purpose in smaller groups. Larger groups can struggle with maintaining cohesiveness and a sense of belonging.
While larger groups may have certain advantages, such as a broader range of perspectives and resources, the statement disregards the potential drawbacks of managing larger groups effectively. Overall, smaller groups often exhibit better communication, efficiency, and individual participation, making the statement false in general.
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Students were given a sensation-seeking test and then divided into two groups based on their scores. A researcher observed how many times students in each group got out of their seats over the course of 2 hours. The dependent variable is:
The dependent variable in this study is the number of times the students got out of their seats over the course of 2 hours.
The independent variable is the variable that is being manipulated or controlled by the researcher.
It is the variable that is expected to cause a change in the dependent variable which is the variable being measured as the outcome or response to the manipulation of the independent variable.
In the given scenario, the independent variable is the group assignment based on the scores on the sensation-seeking test.
The researcher has divided the students into two groups based on their scores, and this grouping is being used as a way of manipulating or controlling the students' level of sensation-seeking behavior.
The researcher is interested in how this manipulation affects the students' behavior in terms of getting out of their seats.
The dependent variable is the number of times the students got out of their seats over the course of 2 hours.
This variable is expected to vary depending on the level of the independent variable, which is the group assignment based on the sensation-seeking test scores.
The researcher will measure the dependent variable for each group separately and then compare the results to determine if there is a significant difference between the two groups.
In summary,
The independent variable is the grouping of the students based on their scores on the sensation-seeking test and the dependent variable is the number of times the students got out of their seats over the course of 2 hours.
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