Step-by-step explanation:
you're going to substitute the value of x from the table inside the equation to get Y.
like the first one will be when X=10
then you put 10 in place of X in the equation
-62
-37
37
62
i think it is the answer
A school administrator believes that the mean class GPAs for a given course are higher than the preferred mean of 2.75 at a significance level of 0.05, and checks a randomly chosen sample of 50 classes. Create a histogram, and calculate x¯, the t-statistic, and the p-value.Here is the data for the class GPAS:3.092.732.582.682.842.682.642.622.352.722.632.772.723.032.712.962.743.012.882.682.833.022.832.712.672.792.652.562.782.892.402.382.412.832.863.012.802.842.952.752.932.482.342.972.852.742.843.102.622.77The questions to answer:From the histogram, can normality be assumed? Yes/NoX =T=P=Since the P-value is (greater/less than) than the significance level of 0.05, than the null hypothesis (fails to be rejected/is rejected). (sufficient/insufficient) evidences exists that the new mean GPA is greater than 2.75
The mean GPA is greater than 2.75.
A= 4.0, A- = 3.7, B+ = 3.three, and many others. Total the first-class factors, and overall the credit hours. Divide the overall satisfactory points by means of the overall credit score hours.
Grade Point Average (GPA):Grade point average (GPA) is the measure used to summarize your instructional fulfillment at Griffith. After the e-book of final grades every trimester, your software and career.
GPA is calculated and could be utilized by the college to tell choices, which include the subsequent: educational progression.
Divide the total range of grade factors earned with the aid of the total number of letter-graded units undertaken.
Mean GPA = total / 50
= 2.75.
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Simplify the expression.
347+429+437
1. 11 2/9
2. 12 2/9
3. 11 9/23
4. 12 9/23
Answer:
2. 12 2/9
Step-by-step explanation:
Because of the choices, I assume the three addends are mixed numerals:
3 4/7 + 4 2/9 + 4 3/7 =
= 3 + 4 + 4 + 4/7 + 2/9 + 3/7
= 11 + 7/7 + 2/9
= 11 + 1 + 2/9
= 12 2/9
Answer: 2. 12 2/9
Arrange the steps in correct order to solve the congruence 2x = 7 (mod 17) using the inverse of 2 modulo 17, which is 9. Rank the options below. 9 is an inverse of 2 modulo 17. The given equation is 2x = 7 (mod 17). Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17). Since 63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.
63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.
The given equation is 2x = 7 (mod 17).
9 is an inverse of 2 modulo 17.
Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17).
Since 63 mod 17 = 12, the solutions are all integers congruent to 12 modulo 17, such as 12, 29, and -5.
Correct order:
The given equation is 2x = 7 (mod 17).
9 is an inverse of 2 modulo 17.
Multiplying both sides of the equation by 9, we get x = 9.7 (mod 17).
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The top of the hill rises 115 feet over -167 what is the altitude of the top of the hill
Javier drinks 8 cups of water in one day.What is the unit rate of cups of water to days?
The unit rate here is also 8 cups of water per day.
We need to remember that in the unit rate we have as the denominator one unit of any quantity.
In this case, we have a day as the denominator one day, since:
\(\frac{8cupofwater}{1\text{day}}\)In summary, therefore, the unit rate, in this case, is 8 cups of water per day:
Answer for ten points!
Answer:
Step-by-step explanation:
x - 12 ÷ 6 = 9
What is x?
Answer:
x=11
Step-by-step explanation:
11-(12 divide by6)=9
11-(2)=9
THEREFORE X EQUALS 11
Answer:
X= 11
Step-by-step explanation:
Solve for
X
by simplifying both sides of the equation, then isolating the variable.
roman has a certain amount of money. if he spends $15, then he has 14 of the original amount left. how much money did roman have originally?
Roman has a certain amount of money. if he spends 15, then he has 14 of the original amount left. Roman had originally 20.
To find out how much money Roman had originally, you can follow these steps:
Step 1: Let the original amount of money be "x".
Step 2: According to the problem, if Roman spends $15, he has 1/4 of the original amount left.
So, after spending 15, he has (1/4)x left.
Step 3: Since he spent $15, we can write the equation as: x - 15 = (1/4)x.
Step 4: To solve for x, first multiply both sides of the equation by 4 to get rid of the fraction:
4(x - 15) = 4(1/4)x => 4x - 60 = x.
Step 5: Subtract "x" from both sides:
4x - x - 60 = 0 => 3x - 60 = 0.
Step 6: Add 60 to both sides:
3x = 60.
Step 7: Divide both sides by 3 to find the value of x:
x = 60 / 3 => x = 20.
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Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
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help. how do I solve this. it is an exterior triangle.
what is the probability of coming up with the correct unscrambling through random letter selection?
the probability of randomly selecting the correct unscrambling would be 1/n!. As the length of the word increases, the probability of randomly selecting the correct unscrambling becomes increasingly small due to the exponential growth of possible arrangements.
The probability of coming up with the correct unscrambling through random letter selection depends on the specific word being unscrambled and the number of possible permutations. In general, the probability can be quite low due to the large number of possible combinations.
To calculate the probability, you would need to know the total number of possible letter arrangements and the number of arrangements that result in the correct unscrambling. Let's assume we have a word with n letters. The total number of possible arrangements is n!, which represents n factorial (the product of all positive integers from 1 to n).
The number of arrangements that result in the correct unscrambling depends on the specific word and the length of the word. For example, if the word has 4 letters, there are 24 possible arrangements (4!). However, only one of those arrangements is the correct unscrambling.
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what is 78 million in scientific notation?
The cafeteria needs 68 onions. There are 4 onions in each bag. How many bags should the cafeteria buy?
Answer:
68/4=17
Step-by-step explanation:
Since they need 68 onions and the bag has 4 you divide 68/4 and you get the amount of how many bags they need.
Answer:
17 bags
Step-by-step explanation:
\(68\:onions(\frac{1\:bag}{4\:onions} )=68/4\:bags=17\:bags\)
4b-2 evaluate the expression if b=4
Answer:
14
Step-by-step explanation:
The question is asking for the value of 4b -2 when b= 4. Thus, substitute b= 4 into the expression.
4b-2
When b= 4,
4b -2
= 4(4) -2
= 16 -2
= 14
Exactly 50% of the area under the normal curve lies to the left of the mean.
True or False
The statement "Exactly 50% of the area under the normal curve lies to the left of the mean" is a true statement.
In a normal distribution, the mean, median, and mode all coincide, and the distribution is symmetrical.
The mean is the balance point of the distribution, with 50% of the area to the left and 50% to the right of it. Exactly 50% of the area under the normal curve lies to the left of the mean.
This implies that the distribution is symmetrical, and the mean, mode, and median are the same.
Therefore, the statement "Exactly 50% of the area under the normal curve lies to the left of the mean" is a true statement.
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help please
15 − 20 + (−15) + (+20)=
Answer:
-5+5
= 0
Step-by-step explanation:
Answer:
-5+5
= 0
Step-by-step explanation:
How much do you get paid every two weeks if you work 20 hours a week.
Answer:
I get paid with insomia
Step-by-step explanation:
Answer:
328$
Step-by-step explanation:
20/weekly
20 × 2 = 40
40h/2 weeks
8.20 × 40 = 328$ for 2 weeks
Add. Simplify, if possible. Help please.
Answer: A
Step-by-step explanation:
To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.
\(\frac{8}{z^2+6z+9} +\frac{5}{z^2-9}\) [factor denominator]
\(\frac{8}{(z+3)(z+3)} +\frac{5}{(z+3)(z-3)}\) [multiply first fractioni by z-3 and second by z+3]
\(\frac{8(z-3)}{(z+3)^2(z-3)} +\frac{5(z+3)}{(z+3)^2(z-3)}\) [distribute by FOIL]
\(\frac{8z-24}{(z+3)^2(z-3)} +\frac{5z+15}{(z+3)^2(z-3)}\) [add]
\(\frac{13x-9}{(z+3)^2(z-3)}\)
This is the same as A. Therefore, A is our answer.
For the following series, confirm that the integral test is applicable,
and use it to determine whether the series converges | n =1 ∑ (2n^2+1)/(3n^5+ 2n +1)
The given series Σ (2n^2+1)/(3n^5+ 2n +1) converges by the integral test.
To apply the integral test, we need to verify that the series is positive, continuous, and decreasing for all n ≥ 1.
For n ≥ 1, we have:
(2n^2+1)/(3n^5+ 2n +1) > (2n^2)/(3n^5+ 2n +1) = (2/n^3)/(3 + 2/n^2 +1/n^5)
Since the denominator is increasing as n increases, the denominator is greater than or equal to 6 for all n ≥ 1. Therefore,
(2/n^3)/(3 + 2/n^2 +1/n^5) < (2/n^3)/6 = 1/3n^3
So, for n ≥ 1, we have
(2n^2+1)/(3n^5+ 2n +1) < 1/3n^3
Since the series Σ 1/3n^3 is a convergent p-series (with p = 3 > 1), the given series satisfies the conditions of the integral test, and therefore converges.
To confirm that the series is decreasing, we can take the derivative of the function f(x) = (2x^2+1)/(3x^5+ 2x +1) and show that it is negative for all x ≥ 1. However, this derivative is quite complicated, so we will not pursue this approach further.
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lin's family needs to travel 325 miles to teach their grandmother's house.
B. how far have they traveled when they completed 72 percent of the trips distance
They have traveled 234 miles when they completed 72 percent of the trips distance
How far have they traveled when they completed 72 percent of the trips distance from the question, we have the following parameters that can be used in our computation:
Distance = 325 miles
Distance completed = 72%
Using the above as a guide, we have the following:
Distance completed = 72% * Total distance
Substitute the known values in the above equation, so, we have the following representation
Distance completed = 72% * 325 miles
Evaluate
Distance completed = 234 miles
Hence, the distance completed = 234 miles
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Is 40 perfect square
In order to find if a number is a perfect square, one needs to factor it out and see what its factors look like.
In our case, when we factor out 40 extracting common factors ione at a time, we get:
40 = 20 * 2 = 10 * 2 * 2 = 5 * 2 * 2 * 2
This can be written as
\(40=2^3\cdot\text{ 5}\)which is NOT an expression to the square power.
So this number is NOT a perfect square.
81 is a rational number, because it can be written as a "quotient" (ratio) of integers in the form: 81/1
during the last year the value of your house decreased by 20%. if the value of your house is $184,000 today, what was the value of your house last year? round your answer to the nearest cent, if necessary .
Answer:
The last year value of the house will be $230,000.
Step-by-step explanation:
GIVEN: Decrease in house price = 20%
Current house price = $184,000
TO FIND: Value of the house last year
SOLUTION:
If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.
Let the value of the house last year be 'x'.
If the value of the house today is $184,000, then:
\(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)
Therefore, the last year value of the house will be $230,000.
april, bill , candace, and bobby are to be seated at random in a row of 7 chairs. what is the probability that april and bobby will occupy the seats at the end of the row?
The required probability of occupying seats at the end of the row by April and Bobby is equals to 0.0333.
We have,
Number of chairs in a row = 5
April and Bobby need to occupy the two end chairs.
The other two people, Bill and Candace, can sit in any of the 3 remaining chairs.
The total number of ways to seat the 4 people in the 5 chairs is
= 5!/(5-4)!
= 5x4x3x2
= 120.
April can sit in either of the two end chairs, and then Bobby can sit in the other end chair.
Bill and Candace can then sit in either of the two remaining chairs, in either order.
The number of ways to seat April and Bobby at the ends of the row is,
= 2x1x2x1
= 4.
Probability that April and Bobby will occupy the seats at the end of the row is,
4/120
= 1/30
= 0.0333
Therefore, the probability of April and Bobby occupy seats at the end of the row is 1/30 or approximately 0.0333.
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What is the domain of the function y â x?
The domain of the function can be written in the form of interval as (-∞, ∞).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
The function is given as y = aˣ.
Its domain can be found as follows,
For x = 0, y is a⁰ = 1.
For x = n, where n > 0, y is given as,
y = aⁿ, which is greater than zero.
For x = n, where n < 0, y is given as,
y = a⁻ⁿ
⇒ y = 1/aⁿ
Thus, the given function is valid for all real numbers.
Which implies its domain is (-∞, ∞).
Hence, the domain of the given function is obtained as (-∞, ∞).
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HELP PLEASEEE!!! Which relation is a function?
Answer: A
Step-by-step explanation:
Why median is better than mean?
Median is better than mean as it is not affected by extremely high or low values in the same way that the mean is
The median is a measure of central tendency, like the mean, but it is not affected by extremely high or low values in the same way that the mean is. Because of this, the median is often a better measure of central tendency when there are outliers in the data, or when the data is skewed (not normally distributed). For example, consider the following set of numbers: 1, 2, 3, 100. The mean of these numbers is 26, but the median is 3, which is a better representation of the "typical" value in this set.
However, the mean is still a useful measure and has its own advantages. For example, the mean is sensitive to every value in the data set, so it can provide a more comprehensive summary of the data. Additionally, the mean is easier to work with mathematically than the median, so it is often used in statistical tests and calculations.
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4(x + 2) > 6Please help me:(
We are given the following inequality
\(4\left(x+2\right)>6\)Let us solve the inequality to find the value of x.
Step 1: open the brackets
\(\begin{gathered} 4\left(x+2\right)>6 \\ 4x+8>6 \end{gathered}\)Step 2: subtract 8 from both sides
\(\begin{gathered} 4x+8-8>6-8 \\ 4x>-2 \end{gathered}\)Step 3: divide both side by 4
\(\begin{gathered} \frac{4x}{4}>\frac{-2}{4} \\ x>\frac{-1}{2} \end{gathered}\)Therefore, the value of x is greater than -1/2 that is (x > -1/2)
A police station had to deploy a police officer for an emergency multiple times in the last four evenings. The table below shows the number of emergencies each evening. 5 Weekday Number of calls each day Monday 10 Tuesday Wednesday 10 Thursday 15 (Round your answer to 1 decimal place.) What would be their forecast for the emergencies on Friday using a two-day moving average approach? Forecast for Friday 10.0 calls
Using a two-day moving average approach, the forecast for the number of emergencies on Friday is 10.0 calls.
The two-day moving average approach is a simple forecasting method that calculates the average of the number of emergencies over the previous two days and uses it as the forecast for the next day. In this case, we have data for the number of emergencies for the last four evenings: Monday (10 calls), Tuesday (10 calls), Wednesday (10 calls), and Thursday (15 calls).
To calculate the forecast for Friday using the two-day moving average approach, we take the average of the number of emergencies on Thursday and Wednesday, which is (15 + 10) / 2 = 12.5 calls. However, since the question asks for the forecast rounded to 1 decimal place, the forecast for Friday would be 10.0 calls.
By applying the two-day moving average approach, the police station expects approximately 10.0 emergency calls on Friday based on the recent trend of emergencies over the past four evenings. It assumes that the pattern observed in the previous days will continue, with an equal weight given to each of the two days in the moving average calculation.
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Please someone please help, will mark you Brainliest
Read the problem carefully and write the required information:
Community Gym charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will that amount be?
What are you looking for?
Define a variable:
Write the equation:
Solve the equation:
What will the amount of money be when the total amount of money paid to both gyms is the same?
Answer:
Step-by-step explanation:
Community gym
=> membership fee = $50
=> monthly fee = $55
=> First month = 105$
=> 50 + 55(x)
=> 50 + 55 (15)
=> 50 + 825
=> 875
Workout gym
=> membership fee = $200
=> monthly fee = $45
=> First month = 245$
=> 200 + 45(x)
=> 200 + 45(15)
=> 200 + 675
=> 875
On the 15th month, community gym and workout gym will both get the same amount of $875.
Answer: what are you looking for? after how many months will the total amoung of money paid to both gyms be the same? Define a variable: I'm not sure. Write the equation, community Gym 50 + 55(x), workout gym 200 + 45(x), solve the equation. on the 15th month, community gym and workout gym will both get the same amount of $875.
Step-by-step explanation:
Simplify 4(6 - 2x) - 3(3 - 4x)
a)15 - 6 x
b)15 - 20 x
c)4 x + 15
Answer:
c) 4x + 15
Step-by-step explanation:
4(6-2x) - 3 (3-4x) is the given equation
The first thing that needs to be done is to distribute
24-8x - 9+12x (Remember a negative + negative = positive)
The second step is combing like terms.
24-9=15 -8x+12x=4x
The last step is making the equation.
4x + 15