Answer:
Step-by-step explanation:
You are correct in what you are doing. All you need do is show that what you got can be expressed algebraically.
Let x be the time in hours.
Let y be the snowfall in inches.
The first one does not work.
y = k * x
12 = k * 6 Divide both sides by 6
12/6 = k/6
k = 2
All the rest will fit into this equation.
try x = 2.5
y = k * x
y = 2 * 2.5
y = 5 which is just the amount of snowfall you should get.
three times the difference of a number and four is equal to 5
What is the volume of the figure? Enter the answer in the box.
Answer: 2, 700 cubic ft.
Step-by-step explanation:
2420 + 280 = 2, 700
The formula for volume = Length x Width x Height (L x W x H)
11 x 10 x 22 = 2420
7 x 4 x 10 = 280
2420 + 280 = 2, 700
Solve for letter x. explain steps if possible
what is the slope of PV
Answer: -4 (-4/1)
Step-by-step explanation:
Slope is the rate of change, or rise over run. So in this case it is negative because to get from p to v we have to go down. Sow e go down 4, and across one, but we just say -4.
A large cone is cut into two parts, a smaller cone and a frustum of a cone.
The height of the large cone is 20 cm.
The height of the smaller cone is 4 cm.
The radius of the base of the large cone is 6 cm.
The radius of the base of the smaller cone is 4 cm.
Workout the volume of the frustum.
radius of small cone= 4 cm
radius of large cone= 6 cm
height of small cone= 4 cm
height of large cone= 20 cm
solution:big:\(v = \frac{1}{3} \pi {r}^{2} h\)
\(v = \frac{1}{ 3} \times \pi \times {6}^{2} \times 20\)
\(v = 753.98 \: {cm}^{3} \)
small:\(v = \frac{1}{ 3 } \pi {r}^{2} h\)
\(v = \frac{1}{3} \times \pi \times {4}^{2} \times 4\)
\(v = 67.02 \: {cm}^{3} \)
frustum:\(v = 753.98 - 67.02\)
\(v = 686.96 \: {cm}^{3} \)
volume of smaller cone:
\( = 67.02 {cm}^{3} \)
volume of larger cone:
\( = 753.98 {cm}^{3} \)
frustum:
\( = 686.96 {cm}^{3} \)
How many significant figures are there in the following numbers, respectively: 0.19,4700,0.580,5.020×10
7
? 3,4,4,4 2,4,4,3 2,2,3,4 3,2,3,3
The number of significant figures in each of the given numbers is as follows: 0.19 has 2 significant figures. 4700 has 2 significant figures. 0.580 has 3 significant figures. 5.020 × 10^7 has 4 significant figures.
In a number, significant figures represent the digits that contribute to the precision or accuracy of the measurement. The rules for determining the number of significant figures are as follows:
1. Non-zero digits are always significant. For example, in 4700, all four digits are non-zero, so they are all significant.
2. Zeros between non-zero digits are significant. For example, in 0.580, there are three significant figures: 5, 8, and 0.
3. Leading zeros (zeros to the left of the first non-zero digit) are not significant. They only indicate the position of the decimal point. For example, in 0.19, there are two significant figures: 1 and 9.
4. Trailing zeros (zeros to the right of the last non-zero digit) are significant if there is a decimal point present. For example, in 5.020 × 10^7, there are four significant figures: 5, 0, 2, and 0.
By applying these rules to the given numbers, we can determine the number of significant figures in each. It's important to understand the significance of significant figures in representing the precision of measurements. The more significant figures a number has, the more precise the measurement is considered to be.
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how much variance between two variables has been explained by a correlation of .9?
A correlation of .9 indicates that 81% of the variance between two variables has been explained.
Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.
To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:
R^2 = (0.9)^2 = 0.81
Thus, a correlation of 0.9 explains 81% of the variance between the two variables.
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I WILL GIVE BRIANLIEST TO THE FIRST PERSON TO ANSWER 13,14,15 AND EXTRA POINTS
Answer:
Hello! answers:
Question 13: 12
Question 14: 18
Question 15: 15
Hope that helps!
For question 13 I found the answer by doing 6 ÷ 2 and 6 ÷ 2 = 3 so I know that 4 will be enlarged by 3 so 4 × 3 = 12 so 12 is the answer for 13
For question 14 I found the answer by using 1 of the sides so I did 24 ÷ 16 and 24 ÷ 16 = 1.5 and 1.5 × 12 = 18 so the answer is 18
For question 15 I did the same thing!
25 ÷ 20 = 1.25 and 1.25 × 12 = 15 so 15 is the answer Hope that helps!
How many observations should a time study analyst plan for in an operation that has a standard deviation of 1.5 minutes per piece if the goal is to estimate the mean time per piece to within .4 minute with a confidence of 95.5 percent? (Do not round intermediate calculations. Round up your final answer to the next whole number.)
Number of observations
The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.
We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:
\(n = (Z * \sigma / E)^2\)
Where:
n = sample size
Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)
σ = procedure standard variation (1.5 minutes per piece)
E = margin of error (0.4 minutes)
Plugging in the values, we can calculate the sample size:
\(n = (1.96 * 1.5 / 0.4)^2\)
\(n = (2.94 / 0.4)^2\)
\(n = 7.35^2\)
n ≈ 54.02
We round up the sample size to the next whole number because we can't have a portion of an observation:
n = 55
Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.
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The graph below represents which system of inequalities? (2 points)
Answer:
Top
Step-by-step explanation:
y<-2x+6
y≤x+2
I graphed it.
if A/5=60/4 what is the place value of A
Answer:
a=75
Step-by-step explanation:
Keisha is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.20. How much will it cost her to send 4 small packages and 1 large package?
Answer: 2.10x4=8.4
8.4+3.20=$11.6
$11.60 is the answer
Step-by-step explanation:
It will cost $11.6 to send 4 small packages and 1 large package.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Keisha is mailing packages.
Each small package costs her $2.10 to send.
Each large package costs her $3.20.
If she sends 4 small packages and 1 large package, then the amount,
= $2.10(4) + $3.20.
= $11.6
Therefore, $11.6 is the cost of the total package.
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This year, the ACT score of a randomly selected student is normally distributed with a mean of 24.4 points and a standard deviation of 4.7 points. Let XX be the ACT score of a randomly selected student and let ¯¯¯XX¯ be the average ACT score of a random sample of size 16.
1. Describe the probability distribution of XX and state its parameters μμ and σσ:
The probability distribution of the sample mean is approximately normal, with mean of 24.4 points and standard deviation of 1.175 points.
How to obtain the distribution?By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).
The mean is the same as the population mean, of 24.4 points, while the shape is approximately normal.
The standard error is given as follows:
\(s = \frac{4.7}{\sqrt{16}} = 1.175\)
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5 Tony has 14 hundreds,
six tens, and 5 ones.
Gene has 1 thousand,
4 hundreds, 16 tens.
and 5 ones. Mrs. Lane
says their totals are
equivalent. Is she
correct? Prove it.
The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
14 hundreds, six tens, and 5 ones = 14(100) + 6(10) + 5(1) = 1465
1 thousand, 4 hundreds, 16 tens. and 5 ones = 1(1000) + 4(100) + 16(10) + 5(1) = 1565
The total that Tony has is 1465 while Gene has a total of 1565, hence they are not equivalent.
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Answer:
Step-by-step explanation:
Gene has more, also, by the way, aren't you in my school? Do you know Ezekiel?
Naomi plotted the graph below to show the relationship between the temperature of her city and the number of popsicles she sold daily:
A scatter plot is shown with the title Naomis Popsicle Stand. The x axis is labeled High Temperature, and the y-axis is labeled Number of Popsicles Sold. Data points are located at 90 and 20, 85 and 17, 70 and 14, 75 and 20, 60 and 16, 50 and 14, 60 and 12, 40 and 10, 50 and 12, 80 and 8.
Part A: In your own words, describe the relationship between the temperature of the city and the number of popsicles sold. (2 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept. (3 points)
The higher the temperature, the fewer popsicles sold. Slope: -0.5; y-intercept: 40.
To calculate the line of best fit, we can use the two-point form of a line to calculate the slope and y-intercept. First, we will calculate the slope by using the two points (90, 20) and (50, 14). The slope is equal to the change in the y-coordinates (6) divided by the change in the x-coordinates (40). This gives us a slope of -0.5. Next, we will use the same two points to calculate the y-intercept. We already know that the slope is -0.5, so we can plug this in to the equation y = mx + b and solve for b. When we solve for b, we get 40, which is the y-intercept. This means that the equation for the line of best fit is y = -0.5x + 40.
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12x−2y=28. Fully simplify your answer.
In a fruit cocktail, for every 12 ml of orange juice you need 8 ml of apple juice and 50 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?
Answer:
6:25:4
Step-by-step explanation:
12 ml of orange juice:50ml coconut milk: 8 ml orange juice
its all divisible by 2
so it would be 6:25:4
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If a box contains 2 black, 4 red, and 6 white marbles and one is chosen at random, what is the probability it will be white
The probability of selecting a white marble from the box is 0.5 or 50%.
We have,
To calculate the probability of selecting a white marble from the box, we need to determine the total number of marbles and the number of white marbles in the box.
In this case, the box contains a total of 2 black marbles, 4 red marbles, and 6 white marbles.
The probability of selecting a white marble can be calculated as:
Probability of selecting a white marble = (Number of white marbles) / (Total number of marbles)
Probability of selecting a white marble = 6 / (2 + 4 + 6)
Probability of selecting a white marble = 6 / 12
Probability of selecting a white marble = 0.5
Therefore,
The probability of selecting a white marble from the box is 0.5 or 50%.
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the null hypothesis is based on the idea that... group of answer choices there is no relationship between the variables there is a strong relationship between the variables there is a weak relationship between the variables none of these answers
The null hypothesis is based on the idea that there is no relationship between the variables.
What is null hypothesis?
The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable. The null hypothesis can be evaluated to determine whether or not there is a relationship between two measured phenomena, which makes it valuable. It can let the user know if the outcomes are the product of random chance or deliberate manipulation of a phenomenon.
The null hypothesis states that there is no relationship between two population parameters, i.e., an independent variable and a dependent variable. Therefore, the null hypothesis is based on the idea that there is no relationship between the variables.
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y=−2x+2
4x+2y=4
Substitute the resulting expression in the other equation
Answer:
In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.
Step-by-step explanation:
like terms to 5x
(help!!)
Answer:
Select these:
x
-x
40x
-30x
In all of these terms, a number is being multiplying by x (and x only) just like in the question! That's how to tell.
For the "x" option, remember that an x alone equates to 1x. So, 1 is being multiplied by x.
For the "-x" option, remember that an -x alone equates to -1x. So, -1 is being multiplied by x.
Assume that the random variable X is normally distributed, with mean u 100 and standard deviation o 10. Compute the probability P(X 108) 0.2119 0.788 0.2420 0.1977
Assuming that the random variable X is normally distributed with a mean (µ) of 100 and a standard deviation (σ) of 10, you are looking to compute the probability P(X < 108). Probability in this case was found to be 0.788
To find this probability, we can utilize the standard normal distribution (Z-distribution) by converting the given value (X = 108) into a Z-score using the following formula: Z = (X - µ) / σ
plugging in the given values, we get:
Z = (108 - 100) / 10
Z = 0.8
Now, we can find the probability P(X < 108) by looking up the corresponding value in the Z-table, which gives us the area under the standard normal curve to the left of the Z-score. For Z = 0.8, the table value is approximately 0.7881. This means that the probability P(X < 108) is approximately 0.7881, or 78.81%.
Therefore, among the given options, 0.788 is the closest and most accurate answer for the probability P(X < 108) in a normally distributed random variable with a mean of 100 and a standard deviation of 10.
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Factor the following expression using the GCF: 10ab + 20.5(2 ab + 4)10( ab + 2)10( ab + 20)2(5 ab + 10)
ANSWER
\(10(ab+2)\)EXPLANATION
We want to factor the given expression using the greatest common factor.
To do this, we have to factor out common terms in the terms given in the expression. The two terms in the expression are divisible by 10.
Hence, we can factor the expression as follows:
\(10(ab+2)\)The expression has been factored using GCF.
From a group of nine people, two individuals are to be selected at random. How many selections are possible
There are 36 possible selections when two individuals are selected at random from a group of nine people.
The number of possible selections when two individuals are selected at random from a group of nine people can be calculated by using the combination formula. Therefore, the answer to the problem is given as follows:
In this question, we are given a group of nine people and are to determine the number of possible selections when two individuals are selected at random from the group.
Since the order of selection does not matter in this problem, we can use the combination formula to solve this question. The combination formula is given as;`
nCr = n! / r!(n - r)!`
Where;n = total number of items available for selection
r = number of items being selected at a time`
!` = Factorial sign
Using the formula above, we can find the number of possible selections when two individuals are selected at random from a group of nine people as follows;
n = 9 (since there are nine people)r = 2 (since we are selecting two people at a time)
Therefore, the number of possible selections when two individuals are selected at random from a group of nine people can be given as;`
nCr = n! / r!(n - r)!``
9C2 = 9! / 2!(9 - 2)!``
9C2 = 9! / 2!7!``
9C2 = (9 * 8 * 7!) / (2 * 1 * 7!)``
9C2 = (9 * 8) / (2 * 1)``9C2 = 36`
Therefore, there are 36 possible selections when two individuals are selected at random from a group of nine people.
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What is the common ratio for the following geometric sequence: 4, -20, 100, -500, . . .
Match each power of a power expression with its simplified expression
Answer:
answer in picture
Step-by-step explanation:
what is the result of the following sql statement? update employee set salary = 50000 where salary < 50000;
The result of this statement would be that all employees with a salary less than 50000 would have their salaries updated to 50000 at a specific column.
1. The UPDATE statement is used to modify the existing records in a table.
2. The statement begins with the keyword UPDATE followed by the name of the table, in this case "employee".
3. The SET keyword is then used to specify the column and value to update, in this case "salary" to 50000.
4. The WHERE clause is used to specify which records should be updated, in this case all records where the salary is less than 50000.
5. The result of this statement would be that all employees with a salary less than 50000 would have their salaries updated to 50000.
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Could you provide the procedure? Thanks!
i think this is your answer: 12.0 and 12.5
how many cards in the deck are either a jack or a heart?
The number of cards in the deck that are either a jack or a heart = 16
We know that a standard deck of cards has four suites.
These four suits are:
a) Hearts,
b) Clubs,
c) Spades,
d) Diamonds.
Each suite has thirteen cards.
These thirteen cards are:
Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and king.
This means, the entire deck of cards has 52 cards total.
The number of Jack cards in a standard deck of cards = 4
The number of Hearts in a standard deck of cards = 13
This means, there are 13 + 3 = 16 cards in the deck are either a jack or a heart.
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La tabla siguiente registra las llamadas telefónicas realizadas por un grupo de personas. La media y la desviación típica o estándar son:. .__.
The average of the table is 4 and the standard deviation is 1.1547.
The average of the table is calculated using the formula (Sum of all data points) / (Number of data points). In the given table, the average is (2 + 5 + 3 + 4 + 6 + 4 + 3) / 7 = 4.
The standard deviation is calculated using the formula (Sum of Squared Differences / (Number of Data Points -1))1/2. In the given table, the standard deviation is ((\(2-4^{2}\)+ \(5-4^{2}\) +\(3-4^{2}\) + \(4-4^{2}\) + \(6-4^{2}\) + \(4-4^{2}\) + \((3-4)^{2}\) / (7-1))1/2 = 1.1547.
Therefore, the average of the table is 4 and the standard deviation is 1.1547.
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