Consider the expression 8 – 4 / 2. One student says the answer is 2 and another says it is 6. Which student is correct? Explain what went wrong with the student who made a mistake.
Answers
Answer:
It is 6. The student who got a two did not use order of operations.
Step-by-step explanation:
PEMDAS
You must do division before subtraction. 4/2 = 2.
8 - 2 = 6
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Suppose f(x,y)=xy, P=(−4,−4) and v=2i+3j. A. Find the gradient of f. ∇f= i+ j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (∇f)(P)= i+ j Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. Duf= Note: Your answer should be a number D. Find the maximum rate of change of f at P. Note: Your answer should be a number E. Find the (unit) direction vector in which the maximum rate of change occurs at P. u= i+ j Note: Your answers should be numbers
Square root of -61 to the nearest tenth
Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of μ=22.5 in. and a standard deviation of σ=1.1 in. These data are often used in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater) ≤0.01 and a value is significantly low if P(x or less) ≤0.01.Find the back-to-knee lengths separating significant values from those that are not significant.
Answers
Answer: B
Step-by-step explanation:
O False
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Answer:
True
Step-by-step explanation:
The skip interval in systematic random sampling is computed by dividing the number of potential sampling units on the list by the desired sample size .
Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval (the sampling interval).
Sampling interval is calculated by dividing the population size by the desired sample size
What is x?
Answers
Answer:
tutoring is available right now
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Answer:
10
Step-by-step explanation:
8+10+9+3=30. So, 40-30=10
Answer:10
Step-by-step explanation:
Add 9 to 10 to get 19, then add 3 to get 22, then add 8 to get 30.
Answers
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
Th The population mean
The standard deviation is
The values considered is
Given that the distribution of the amounts spent follows the normal distribution then the percent of the adults spend more than $2,550 per year on reading and entertainment is mathematically represented as
Generally
So
substituting values
From the normal distribution table the value of is
Thus
Final answer:
We calculate the z-score for the amount $2,550 using the given mean and standard deviation. The z-table gives us the percentage of people who spend less than this, which we subtract from 1 to find the percentage who spend more. Approximately 16.85% of adults in the 25- to 34-year age group spend more than $2,550 on reading and entertainment each year.
Explanation:
To compute the percentage of adults spending more than $2,550 per year, we must first find the z-score associated with this value. The z-score is a measurement of how many standard deviations a particular data point is from the mean.
The formula for calculating the z-score is: Z = (X - μ) / σ.
Where:
- X is the value we are interested in.
- μ is the mean.
- σ is the standard deviation.
Using this formula, the z-score for $2,550 is:
Z = ($2,550 - $1,999) / $574 = 0.96.
Next, we need to use a z-table or a standard normal distribution table to find out the probability that lies below the calculated z-score. Looking this up on a z-table, we get a value of 0.8315, meaning that 83.15% of the population will spend $2,550 or less per year on reading and entertainment. Since we want to know the percentage spending more than $2,550, we subtract this value from 1: 1 - 0.8315 = 0.1685.
Therefore, based on the given mean and standard deviation, about 16.85% of adults in the 25- to 34-year age group spend more than $2,550 on reading and entertainment each year.
Learn more about Z-Score here:
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Answers
Answer:
x has no real solution
Step-by-step explanation:
Our equation is qudratic equation so the method we will follow to solve it is using the dicriminant :
- Let Δ be the dicriminant
- a=1
- b=2
- c=9
- Δ= 2²-4*1*9 =4-36=-32
- we notice that Δ≤0⇒x has no real solution