Answer:
x=30/7 or decimal x=4.28571
Step-by-step explanation:
Each year, Jennifer's school hosts a student vs. teacher basketball tournament to raise money for charity. This year, there are eight teams participating in the tournament. During the first round, each team plays all of the other teams.
(c) Find a numerical method that you could use regardless of the number of the teams in the tournament to calculate the number of games in the first round.
A numerical method that you could use regardless of the number of the teams in the tournament to calculate the number of games in the first round is; (n − 1) + (n − 2) +…+ 1.
What is the Numerical Method used?
The first team will play with the other 7 teams.
Then the second team will play with the 6 other teams, as the game between the first and the second team has already been counted.
Similarly, the third team will play with 5 other teams, and so on. Thus, the
total number of games will be 7 + 6 + 5 + 4 + 3 + 2 + 1 = 28.
Therefore, in the first round there will be 28 games.
If there are 8 teams in the tournament, the number of games in the first round is (8 − 1) + (8 − 2) +…+ 1. Therefore, if there are n teams in the
tournament, the number of games in the first round is given by the sequence; (n − 1) + (n − 2) +…+ 1.
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Gavyn was thinking of a number. Gavyn adds 2.9 to the number, then doubles the result to get an answer of 97.4. Form an equation with
x
from the information.
Answer:
2 * ( x+2.9) = 97.4
2x + 5.8 = 97.4
2x = 97.4 - 5.8
2x = 88.9
x = 88.9 / 2
x = 44.45
ill mark brainlyist!!!!
I've been riding for 12 miles on a bike course. The course is 40 miles long. What percentage of the course of the course have I rode.
Answer: 30%
Step-by-step explanation:
First, we will put completed over the total.
\(\frac{12}{40}\)
Now, we will divide.
0.3
Lastly, we will multiply by 100 to turn it into a percent.
0.3 * 100 = 30%
You have ridden 30% of the course.
Which notation expresses the number of permutations of 8
items taken 2
at a​ time?
There are 56 possible permutations of 8 items taken 2 at a time. To express the number of permutations of 8 items taken 2 at a time, we use the notation P(8,2) or sometimes written as 8P2.
Permutations are arrangements of items in a specific order where the order matters.
To calculate the number of permutations, we use the formula:
P(n, r) = n! / (n - r)!
In our case, n is the total number of items (8) and r is the number of items taken at a time (2). Using the formula:
P(8, 2) = 8! / (8 - 2)!
= 8! / 6!
Now, let's calculate the factorials:
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
6! = 6 × 5 × 4 × 3 × 2 × 1
Divide 8! by 6!:
P(8, 2) = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (6 × 5 × 4 × 3 × 2 × 1)
Notice that the 6!, which is (6 × 5 × 4 × 3 × 2 × 1), cancels out from both the numerator and the denominator, leaving us with:
P(8, 2) = 8 × 7
P(8, 2) = 56
So, there are 56 possible permutations of 8 items.
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what is 36 divided by 7.2
Answer:
36÷7.2=5
So this is the answer
.In a multiple regression model, the variance of the error term `eâ is assumed to be the same for all values of the dependent variable.
A)the same for all values of the independent variable
B)zero.
C)the same for all values of the independent variable.
D)one.
In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.
In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.
The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.
The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.
This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).
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researchers conducted a randomized comparative experiment to test a new drug to help balding men keep their hair. forty-two percent of the placebo group kept or increased their hair compared to 86% of the men getting the new drug. what can we conclude?
The correct option is A, we can conclude the placebo effect partially explains the results seen in the men taking the new drug.
The placebo effect is a phenomenon where a person experiences an improvement in their condition after receiving a treatment that is inactive or has no therapeutic effect. This can occur when a person believes that they are receiving an effective treatment, and their expectations and beliefs about the treatment can influence their experience of the treatment's benefits. The placebo effect can be observed in a range of conditions, including pain relief, depression, anxiety, and even in some cases, more objective measures such as blood pressure and heart rate.
Placebo treatments can come in many forms, including sugar pills, saline injections, or sham surgeries, among others. While the mechanism behind the placebo effect is not fully understood, it is thought to involve a complex interplay between psychological and physiological factors.
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Complete Question: -
Researchers conducted a randomized comparative experiment to test a new drug for helping balding men keep their hair. 42% of the placebo group kept or increased their hair compared to 86% of the men getting
the new drug. What can we conclude?
A. The placebo effect partially explains the results seen in the men taking the new drug.
B. The placebo effect is not present in this experiment because the men are randomly assigned to treatments.
C. The results of this experiment cannot be trusted because of the placebo effect.
which one of the pairs has a positive correlation (relationship) between them, in general? group of answer choices the years of experience of an employee and the salary of an employee the number of times a pencil is sharpened and the length of a pencil the diameter of an apple and the weight of an orange the age of a car and the resale value of a car
The pair that has a positive correlation (relationship) between them, in general, is the years of experience of an employee and the salary of an employee. So, the correct answer is A).
A positive correlation indicates that as one variable increases, the other variable tends to increase as well. In the given pairs, the years of experience of an employee and the salary of an employee are likely to have a positive correlation.
This is because, in many job settings, employees with more experience often receive higher salaries. As individuals gain more experience and develop their skills, they become more valuable to employers, leading to increased compensation.
However, it is important to note that correlation does not imply causation, and other factors may also influence salary apart from just years of experience. So, the correct option is A).
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Which of the following is true of the first step in evaluating change outcomes? Group of answer choices Every type of data that can be collected should be collected. The benefits of the data should be weighed against the costs. Analysis of change effects based on insignificant data is often informative. Data should be collected at irregular intervals.
The correct answer is: The benefits of the data should be weighed against the costs.
This is because the first step in evaluating change outcomes is to determine what data should be collected and how it will be collected.
While it is important to collect as much data as possible, it is also important to consider the costs of collecting and analyzing the data.
The data collected should be relevant to the outcomes being evaluated, and should be collected at regular intervals to track progress over time.
It is not productive to analyze change effects based on insignificant data, as this can lead to inaccurate conclusions.
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Which expression represents each mathematical phrase?
Drag the answer into the box to match each phrase.
(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number
(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x
Answer:
(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7
12. Translate this phrase into an algebraic expression.
Two more than the product of 24 and Janelle's score
how to multiply a whole number and a fractions
Step-by-step explanation:
I'll just give you 2 examples if you need a better understanding tell me
1) 2 * 2/4
a. First make 2 --> 2/1 so it's a fraction
b. Multiply 2 by 2 giving you 4
c. Multiply 1 by 4 giving you 4
d. You'll get 4/4
e. Simplify to 1 by dividing by the numerator and denominator 4
Answer : 1
2) 3 * 4/6
a. First make 3 --> 3/1 so it's a fraction
b. Multiply 3 by 4 giving you 12
c. Multiple 1 by 6 giving you 6
d. You'll get 12/6
e. Simiply to 2 by dividing the numerator and denominator by 6
Answer : 2
Please solve in EXCEL using an excel formula such as =npv
ou're buying a house that costs 300,000 with a down payment of \( 25 \% \) in cash and a 30 year mortgage for the rest at \( 2.75 \% \). What are your onthly principal + interest payments?
To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:
Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
Loan Amount = $300,000 - $75,000 = $225,000
Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.
Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.
Use the PMT function in Excel to calculate the monthly principal + interest payment.
Monthly Payment = -PMT(0.00229, 360, 225000)
The negative sign is used because the payment is an outgoing cash flow.
By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.
To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.
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Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin of paint in his store and decides to paint the tank (not the base). If he uses 250 ml to cover 1 2 , will he have enough paint to cover the tank with one layer of paint? [take = 3.142]
Answer:
He will have enough paint to cover the tank with one layer of paint
Step-by-step explanation:
To calculate the area of the surface that has to be painted, we will have to calculate the lateral surface of the cylinder
Lateral surface of the cylinder is given by
A=2πrh
Where,
π=3.142
r=1.1/2m=
h=1.4m
A=2πrh
=2*3.142*1.1/2*1.4
=4.84m^2
He uses 250ml to cover 1m^2
To cover 4.84m^2, he will use
4.84m^2 × 250ml of paint
=1,210ml of paint is needed
He has 2 litres of paint
2litres =2000ml
Tublu has 2000ml of paint but needs 1210ml of paint
Therefore,
He has an excess of 2000-1210
=790ml
The answer is yes, he will have enough paint to cover the tank with one layer of paint.
Identify the real square root(s) of 0.
-2
-1
0
2
2 and -2
3 and -3
4 and 4
no real roots
Answer:
no real roots
Step-by-step explanation:
0 has one square root which is 0. Negative numbers have no square roots since a square is either positive or 0.
12. Which relation has a domain of {–5, –3, 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}? {(-5, -5), (-3, 0), (2, 8), (1, 7), (5, 3), (6, 4)} {(-5, 9), (10, –3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)} {(2, –5), (3, –3), (6, 0), (7, –5), (1, 0), (8, –5), (4, –3), (5, 0)} {(–5, 8), (–5, 2), (–3, 3), (–3, 1), (0, 4), (0, 5), (–5, 7), (–3, 6)}
Step-by-step explanation:
Which relation has a domain of {–5, –3, 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}? {(-5, -5), (-3, 0), (2, 8), (1, 7), (5, 3), (6, 4)} {(-5, 9), (10, –3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)} {(2, –5), (3, –3), (6, 0), (7, –5), (1, 0), (8, –5), (4, –3), (5, 0)} {(–5, 8), (–5, 2), (–3, 3), (–3, 1), (0, 4), (0, 5), (–5, 7), (–3, 6)}
show that (x+1)(x+3)(x+5) can be written in the form ax^3 + bx^2 + cx+ d where a,b,c and d are all positive integers.
Answer:
x³ + 9x² + 23x + 15
Step-by-step explanation:
Given
(x + 1)(x + 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² + 4x + 3)(x + 5)
Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is
x²(x + 5) + 4x(x + 5) + 3(x + 5) ← distribute the 3 parenthesis
= x³ + 5x² + 4x² + 20x + 3x + 15 ← collect like terms
= x³ + 9x² + 23x + 15 ← in the form ax³ + bx² + cx + d
At the produce store you can buy 4 bags of bananas for $30.16. How much would it cost if you were to buy 7 bags?
The cost of 7 bags of bananas will be $52.78.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition,substraction, multiplication, and division.
Given that at the produce store, you can buy 4 bags of bananas for $30.16. The cost of 7 bags will be calculated as:-
4 bags = $30.16
1 bag = $30.16 / 4
7 bags = ( 7 x $30.16) / 4
7 bags = $52.78
Therefore, the cost of 7 bags of bananas will be $52.78.
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2. the correlation coefficient of the data is 0.93. which relationship between the study time and the scores best describes the meaning of the correlation coefficient?
There is a strong positive correlation between studying and grades.
There is a strong negative correlation between studying and grades.
There is a weak positive correlation between studying and grades.
There is a weak negative correlation between studying and grades.
The statement "There is a strong positive correlation between studying and grades" best describes the meaning of a correlation coefficient of 0.93. The correct answer is A.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, a correlation coefficient of 0.93 indicates a strong positive correlation between studying and grades.
A positive correlation means that as the value of one variable (study time) increases, the value of the other variable (grades) also tends to increase. A correlation coefficient close to +1 indicates a strong positive relationship, suggesting that an increase in study time is associated with higher grades. e correct answer is A.
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madelyn is creating a media center. there are 7 televisions and 7 sets of speakers to choose from. for the dvd player, madelyn has 2 options. how many different entertainment centers can madelyn make?
The total number of different entertainment centers Madelyn can make is 7 × 7 × 2 = 98. Answer: 98.
Madelyn is creating a media center.
There are 7 televisions and 7 sets of speakers to choose from. For the DVD player, Madelyn has 2 options.
We are supposed to determine how many different entertainment centers Madelyn can make.
Therefore, we need to use the multiplication principle of counting.
According to the multiplication principle of counting, if an event can occur in m ways and a second event can occur in n ways, then the two events can occur in m x n ways.
Let's use the multiplication principle of counting to solve this problem.
The number of ways Madelyn can choose a TV is 7.
The number of ways Madelyn can choose a set of speakers is 7.
The number of ways Madelyn can choose a DVD player is 2.
Therefore, the total number of different entertainment centers Madelyn can make is 7 × 7 × 2 = 98. Answer: 98.
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The two-column proof process uses the following type of logical reasoning Group of answer choices Abductive reasoning Inductive reasoning Deductive reasoning Memorized reasoning 2.Why do you think the proof process uses this type of reasoning?
Answer:
Deductive Reasoning
Step-by-step explanation:
In a recent survey, 8 people were each asked the number of times they have been on an airplane. Here is a list of the responses.
9, 21, 7, 11, 13, 21, 5, 14
Find the range of the data set.
Answer: The range of the data set is: " 16 " .
______
Explanation:
The range is calculated by subtracting the lowest value in the given data set from the highest value in the data set.
______
Given: The data set: 9, 21, 7, 11, 13, 21, 5, 14 ;
Let us organize these numbers from lowest value to highest value:
" 5, 7, 9, 11, 13, 14, 21, 21 " ;
Note: This is done by inspection. Note that all eight (8) values are accounted for.
So, we subtract the lowest value in our given data set: "5" ;
from the highest value in our given data set: "21" ; to get the "range":
→ " 21 − 5 = 16 " ;
______
The range is: " 16 " .
______
Hope this is helpful! Best wishes!
Find the value of y.
Answer:
94°Step-by-step explanation:
Find x
(180 - 36) : 2 =
72°
so angle 2x is 144°
sum of all interior angles = 720°
Find y
720 - 144 - 111 - 105 - 165 - 101 =
94°
In Olympic platform diving, the athletes dive from a platform that is 42 feet above
the water. A diver leaves the platform with an initial vertical velocity of 4 feet per
second. How many seconds does it take for the diver to enters the water?
Answer:
10.5 I think
Step-by-step explanation:
the platform is 42ft so if you divide 42 by 4 you get 10.5
15 points!!! Imma mark you brainliest too!! Please help
Meera bought two cows for $10000. If she sold one at the loss of 30% and other at the profit of 30% and she figures out that she sold them for the same price, Find the percentage of profit or loss in whole transaction!!!
Answer:
Step-by-step explanation:
30% off of 10000 is 3000
So the loss is 10000-3000=7000
30% gain on 10000 is 3000
so the gain is 10000+3000=13000
So in all there was no losses or gains. It still equals to 20000
0.02 divided by 924.3
PLEASE HELP
Answer:
0.00002163799
Step-by-step explanation:
Answer:
0.00002163799
Step-by-step explanation:
Twice a number increased by twenty is at least eighty-five. Select all possible values of the number.
Answer:
2x+20≥84
2x≥64
x≥32
Step-by-step explanation:
What is the slope?
Answers
1/5
3/5
6/5
You can only pick one
would the answer be
2x+12
Answer:
Yes you are right.........
What is the answer for this?
Answer:
The general formula for nth term of given sequence is:
\(G_n = 54 . (\frac{1}{3})^{n-1}\)
Step-by-step explanation:
Given sequence is:
54,18,6.....
In order to write the general formula of a sequence, first of all the common ratio has to be found. Common ratio is the ratio between consecutive terms of a geometric sequence.
\(Here\\a_1 = 54\\a_2 = 18\\a_3 = 6\\And\\r = \frac{a_2}{a_1} = \frac{18}{54} = \frac{1}{3} \\r = \frac{a_3}{a_2} = \frac{6}{18} = \frac{1}{3}\)
The general formula is:
\(G_n = A_1 (r)^{n-1}\)
Putting the values of a1 and r
\(G_n = 54 . (\frac{1}{3})^{n-1}\)
Hence,
The general formula for nth term of given sequence is:
\(G_n = 54 . (\frac{1}{3})^{n-1}\)