Answer:
x=9
Step-by-step explanation:
2/3x-1=5
Add 1 to each side
2/3x-1+1= 5+1
2/3x = 6
Multiply each side by 3/2
2/3x*3/2 = 6*3/2
x = 9
Answer:
x=9
Step-by-step explanation:
You add one to both sides, multiply 3 to both sides (to further isolate x), and then divide by 2 on both sides. When you substitute back in, both sides of the equation are equal to each other.
The amount of chlorine in a swimming pool varies directly with the volume of water. The pool has 2.5 milligrams of chlorine per liter of water. There are 8000 gallons of water in the swimming pool. How much chlorine is in the pool? Round to the nearest thousand milligrams.
There are
milligrams of chlorine in the pool.
The solution is, 76,000 mg chlorine is in the pool.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
The pool has 2.5 milligrams of chlorine per liter of water.
There are 8000 gallons of water in the swimming pool.
we know,
1 gallon = 3.785 liters
Water in pool = 8000 x 3.785
Water in pool = 30,280 liters
so, we get,
Chlorine dosage = 2.5 mg / liter
Chlorine = 2.5 x 30,280
Chlorine = 75,700 mg
To the nearest thousand milligram:
Chlorine = 76,000 mg
Hence, The solution is, 76,000 mg chlorine is in the pool.
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Blake delivers food for Uber eats. He charges customers a $3 delivery fee plus $0.25 per mile. Write a function that can be used to find t, the total Blake would charge if he delivered food that is m miles away
The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.
From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.
Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:
= 3 + (0.25 × m)
= 3 + 0.25m
In conclusion, the function is 3 + 0.25m.
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Help finding least common denominators.Numerator on both is one, Demi are x+5 and x-6.
(x+5)(x-6)
1) Considering that we have these two rational expressions:
\(\frac{1}{x+5}+\frac{1}{x-6}\)2) Since we have two different denominators, x+5 and x-6 then the least common denominator will be a simple product between them in this case:
\(\begin{gathered} \frac{1}{x+5}+\frac{1}{x-6}= \\ \frac{1(x-6)+1(x+5)}{(x+5)(x-6)}= \\ \frac{x-6+x+5}{(x+5)(x-6)}= \\ \frac{2x-1}{{\color{Red} (x+5)(x-6)}} \end{gathered}\)Note that after writing the Least Common Denominator (x-5)(x+6) we divide this by each original denominator and then multiply by the original numerator: 1 and then we add them up both.
3) Hence the least denominator is (x+5)(x-6) in red.
Can someone please help me with this question, and also tell me an easy way to do these type of questions. (Show working)
Answer:
6 hours 45 minutes
Step-by-step explanation:
Calculate the time from 9.25 pm on Monday until midnight, then add on time from midnight until 4.10 am on Tuesday, that is
9.25 pm → midnight = 2 hours 35 minutes , then
2 hours 35 minutes + 4 hours 10 minutes
= (2 + 4) + (35 + 10)
= 6 hours 45minutes
A sphere with a diameter of 5 feet long is being painted. how much more paint would be needed to paint a sphere that has four times the diameter?
well, if the diameter is 5, thus its radius must be half that, or 2.5, and therefore, the radius of the one four times as much will be (4)(2.5).
Let's simply get their difference, since that'd be how much more is needed from the smaller to larger sphere.
\(~\hfill \stackrel{\textit{surface area of a sphere}}{SA=4\pi r^2}\qquad \qquad r=radius~\hfill \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\large difference of their areas}}{\stackrel{\textit{radius of (4)(2.5)}}{4\pi (4)(2.5)^2}~~ - ~~\stackrel{\textit{radius of 2.5}}{4\pi (2.5)^2}}\implies 100\pi -25\pi \implies 75\pi ~~ \approx ~~235.62~ft^2\)
as in example 2.38, assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it. (a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails? (b) after how many straight tails can we say that with 90% probability the coin i hold is biased? (c) after n straight tails, what is the probability that the next flip is also tails? (d) suppose we have flipped a very large number of times (think number of flips n tending to infinity), and each time gotten tails. what are the chances that the next flip again yields tails?
The probability that the coin is a biased coin after one flip that results in tails is about 10.9%.
Bayes' theorem is a mathematical formula that helps us update our beliefs about the probability of an event occurring based on new information or evidence. It involves the prior probability, which is our initial belief about the probability of an event, and the likelihood of the evidence given that the event has occurred. By combining these two pieces of information, Bayes' theorem allows us to calculate the updated or posterior probability of the event occurring.
After one flip that results in tails, the probability that the coin is a biased coin can be found using Bayes' theorem:
P(biased coin | tails) = P(tails | biased coin) * P(biased coin) / P(tails)
P(tails | biased coin) = 3/5 (given)
P(biased coin) = 0.1 (given)
P(tails) = P(tails | fair coin) * P(fair coin) + P(tails | biased coin) * P(biased coin)
= 1/2 * 0.9 + 3/5 * 0.1
= 0.55
Therefore,
P(biased coin | tails) = (3/5 * 0.1) / 0.55
= 0.109 (approximately)
Thus, the probability that the coin is a biased coin after one flip that results in tails is about 10.9%.
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Assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it.
(a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails?
Counting jails and prisons, approximately how many citizens are incarcerated? a. 1 million b. 2.3 million c. 3 million d. 4.3 million.
In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.
It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.
These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.
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Is (8, 3) a solution to the system?
- 2 + 4y = 4
- 2 + 3y = 1
Answer:
No, it's not a solution.
Step-by-step explanation:
-2 + 4(3) = 4
-2 + 12 = 10
-2 + 3(3) = 1
-2 + 9 = 7
A correlation coefficient of .90 indicates a(n) ________ relationship between two variables.
a. strong positive
b. strong negative
c. absence of
d. weak positive
A strong positive relationship between the two variables.
We first need to understand that there are two common variables, the dependent variable, and the independent variable. The independent variable is manipulated, and the dependent variable is measured. If the two variables are related, then they are correlated.
Correlation coefficients can be in between 1 and -1, with values closer to 1 indicating a stronger relationship. Positive values show a positive correlation while negative values show a negative correlation.
Therefore, a correlation coefficient of .90 indicates a strong positive relationship between the two variables.
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rico tested 50 adults in an experimental group, to give a large enough ________ __________ to be accurate.
If a=2 and b=-1 the expression 3ab^2 is equal to
let ˆβ1 be the ols estimator for β1 in simple linear regression. show e(ˆβ1) = β1, i.e.,ˆβ1 is unbiased for β1.
The Ordinary Least Squares (OLS) estimator, denoted as ˆβ1, for β1 in simple linear regression is unbiased. In other words, the expected value of the OLS estimator equals the true value of the parameter, β1.
In simple linear regression, we aim to estimate the relationship between a dependent variable and an independent variable. The OLS estimator, ˆβ1, is obtained by minimizing the sum of squared differences between the observed dependent variable and the predicted values based on the estimated slope coefficient, β1.
To show that the OLS estimator is unbiased, we need to demonstrate that its expected value equals the true value of the parameter. Mathematically, we need to prove that E(ˆβ1) = β1.
Under certain assumptions, such as the error term having a mean of zero and being uncorrelated with the independent variable, it can be shown that the OLS estimator is unbiased. This means that, on average, the estimated value of β1 will be equal to the true value of β1. The unbiasedness property is crucial in statistical inference as it allows us to make valid inferences about the population parameter based on the estimated coefficient.
Overall, the OLS estimator for β1 in simple linear regression, denoted as ˆβ1, is an unbiased estimator of the true parameter β1. This property holds under specific assumptions and is essential in statistical analysis for drawing accurate conclusions about the relationship between variables.
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You pay 3. 5% annual simple interest for 12 years on a loan and you pay $1512 in interest. How much is the principal
Answer:
P = $1,064.79
Step-by-step explanation:
the equation we will use is P = A / (1 + rt), where P=principle, A=amount payed, r=rate(interest), and t=time. first convert the rate into a decimal (0.035) and then plug in the numbers into the equation P = 1512 / ( 1 + (0.035 × 12)) = 1064.79
A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bottom of the ladder is placed 5 feet away from the ladder building, what is the length of the ladder
Answer:
Therefore, the length of the ladder is 13 feet.
Step-by-step explanation:
This is a classic example of a right triangle problem in geometry. The ladder serves as the hypotenuse of the triangle, while the distance from the building to the ladder and the height of the window serve as the other two sides. Using the Pythagorean theorem, we can solve for the length of the ladder:
ladder^2 = distance^2 + height^2 ladder^2 = 5^2 + 12^2 ladder^2 = 169 ladder = √169 ladder = 13
Therefore, the length of the ladder is 13 feet.
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Question 18 If P(A) = .35, P(B) = .60, and P( A or B) = .80, then O P(ANB) = .25. O P(ANB) = .15. O A and B are mutually exclusive. O P(ANB) = .35.
Based on the given probabilities, we can determine the value of P(A ∩ B), which represents the probability of both events A and B occurring simultaneously. To calculate this, we use the formula:
P(A ∩ B) = P(A) + P(B) - P(A or B)
Substituting the given values, we have:
P(A ∩ B) = 0.35 + 0.60 - 0.80
P(A ∩ B) = 0.95 - 0.80
P(A ∩ B) = 0.15
Therefore, the correct answer is: P(ANB) = 0.15. This means that the probability of both events A and B occurring together is 0.15.
The statement "A and B are mutually exclusive" is incorrect because if A and B were mutually exclusive, it would mean that they cannot occur at the same time, and thus P(A ∩ B) would be 0.
However, since P(A ∩ B) = 0.15, we can conclude that A and B are not mutually exclusive.
The statement "P(ANB) = 0.35" is also incorrect. The correct value is P(ANB) = 0.15.
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1. A 5 kg box is lifted from the floor to a height of 1.5 m. How much work was done in this proces
Hide answer choices
Answer:
Work done = 73.575 J
Step-by-step explanation:
Given,
Mass (m) = 5 kg
Height (h) = 1.5 m
Gravity (g) = 9.81 m/s²
Work done = ?
Work done
= mgh
= 5 kg × 9.81 m/s² × 1.5 m
= 73.575 joule (J)
⊱─━━━━━━━━━⊱༻●
Hope it helps ⚜
Answer: 73.575 JOULE
Step-by-step explanation: 5 kg × 9.81 m/s² × 1.5 m.
= 73.575 joule (J)
HOPE IT HELPS YOU .THANKS .
steve has three quarters, three nickels and three pennies. if steve selects three coins at random and without replacement, what is the probability that the total value is exactly $35$ cents? express your answer as a common fraction.
Steve has three quarters, three nickels and three pennies. if Steve selects three coins at random and without replacement, then the probability that the total value is exactly 35 cents is 0.107.
Probability:
Probability is the branch of mathematics that deals with numerical descriptions of the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2.
Probability without Replacement:
Probability without replacement means that once you draw an item, you don't put it back into sample space before drawing a second item. In other words, an item cannot be drawn more than once. For example, if he takes one candy out of a box containing nine candies and does not replace the first one, he takes the second one. Of course, the rehearsal room for the second event no longer stays at 9 because we didn't replace the first candy. So the second event has a sample space of 8. That is, the sample space of the second event has changed.
According to the Question:
The only way you can get 35 cents is with 1 quarter and 2 nickels
There are 3 ways to pick up a quarter ³C₁
and there are 3 ways you can pick up 2 nickels : ³C₁
Thus,
There are 3× 3 = 9 ways to choose 1 quarters and 2 nickels.
That is 9 favorable outcome.
Now,
there are ⁹C₃ = 84 ways to choose 3 coins from 9
Therefore,
the probability of picking up 35c is
9/84
= 3/28
= 0.107
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the area of a triangle is 96 sq. inches. its altitude is 2 inches greater than five times its base. find the altitude.
If the area of a triangle is 96 sq. inches. its altitude is 2 inches greater than five times its base then the altitude is 32 inch
The area of a triangle is 96 sq. inches
Let base be b
Its altitude is 2 inches greater than five times its base.
a=5b+2
ab/2=A
(5b+2)b/2=96
(5b+2)b=192
5b²+2b=192
5b²2+2b-192=0
On solving the quadrartic equation,
we get
b=6
a=32
Therefore, if the area of a triangle is 96 sq. inches. its altitude is 2 inches greater than five times its base then the altitude is 32 inchs
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I would ask a question but half the mfkas on here have failed me so many tests. So I j want to let you guys know that you all are r e t a r t e d.
Answer:
please dont use the r slur :)) and if you care so much about your grades, heres an idea!! study on your OWN and dont rely on others
Step-by-step explanation:
Find X (-2x + 35 ) yd, 27yd, (4x-1)yd
Answer: 10 hope this helps^^
Step-by-step explanation: 2(27)= -2x+35+4x-1
=10 (answer)
took the quiz as well
by selling a cycle for rs 2250 ,the man loses rs 50 ,at what prize he sell to make a profit of rs 80?
Answer:
SELLING PRICE OF CYCLE = 2250RS
LOSS MAN SUFFERED = 50RS
Step-by-step explanation:
COST PRICE = SP + LOSS
CP = 2250 + 50
CP = 2300 RS
FORMULA OF PROFIT = SP - CP
TO MAKE PROFIT OF 80 RS
80 = SP - 2300
SP = 2380 RS
HE SHOULD SELL THE CYCLE AT 2380 TO MAKE PROFIT OF 80 Rs
Thank you
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Answer:
rs 2380
Step-by-step explanation:
→ Add rs 50 to the selling price to not make a profit or loss
2250 + 50 = 2300
→ Add rs 80 to the answer above
80 + 2300 = 2380
How can it be done? Fill in the blank.
3,400 is______3,409*
Answer:
< or less than
THIS QUESTION HAS TWO PARTS: Write an equation AND answer the last question.
A plumber charges $30 for a service call plus $75 per hour of service.
Write an equation for the cost, C, after h hours of service.
What will be the total cost for 4 hours of work?
Answer:
C= 75h + 30
total = $330
Step-by-step explanation:
C= 75h + 30
C= 75(4) + 30
C= $330
Answer:
C. 75h+30H
Step-by-step explanation:
Edge 2020
What is the opposite of -4?
O A
--2
ов.
1
4.
О с C2
D. 4
what is 6/-9 simplified?
Answer:
Reduce by cancelling common factors.
The simplified expression of this problem is -2/3
\(-\frac{2}{3}(-0.6)\)
Answer:
-2/3
Step-by-step explanation:
Jose wants to pay off his credit card balances within 18 months. He is trying to decide if he should use his $1,750 in
savings to pay off part of the balances or if he should transfer the balances to a new card with a low introductory
rate. The new credit card has an introductory rate of 8% but charges a balance transfer fee of $60 for each balance
transfer. Jose decides to pay off Credit Card B using his savings and then transfer the balance of Card A to the new
card. Which of the following options shows the amount of Jose's new monthly payment?
Credit Card A: $1,154
Credit Card B $1,469
a
b
$90.43
$68.25
$71 80
$75.34
С
d
Please select the best answer from the choices provided.
Mark this and return
Save and Exit
Nex
Submit
Answer:
c.$71.80
Step-by-step explanation:
did the debt management quiz
Q
1
=74
Q
2
=111
Q
3
=172
(Type integers or decimals.) Interpret the quartiles. Choose the correct answer below. A. The quartiles suggest that all the samples contain between 74 and 172 units. B. The quartiles suggest that 33% of the samples contain less than 74 units, 33% contain between 74 and 172 units, and 33% contain greater than 172 units. The quartiles suggest that the average sample contains 111 units V. The quartiles suggest that 25% of the samples contain less than 74 units, 25% contain between 74 and 111 units, 25% contain between 111 and 172 units, and 25% contain greater than 172 units. b. Determine and interpret the interquartile range (IQR). 1QR= (Simplify your answer. Type an integer or decimal)
The interquartile range (IQR), calculated as the difference between the third quartile (Q3) and the first quartile (Q1), provides a measure of the spread in the middle 50% of the data. In this case, the IQR is 98 units.
Interpretation of quartiles: The quartiles are the values that split a dataset into four equal parts. The first quartile (Q1) splits the bottom 25% of the data from the rest. The second quartile (Q2) splits the data set in half, while the third quartile (Q3) splits the top 25% from the rest.
Given, Q1 = 74, Q2 = 111, and Q3 = 172.
We need to interpret the quartiles.
According to the given values, 25% of the samples contain less than 74 units.25% of the samples contain between 74 and 111 units. 25% of the samples contain between 111 and 172 units.25% of the samples contain greater than 172 units. Thus, the correct option is V. The quartiles suggest that 25% of the samples contain less than 74 units, 25% contain between 74 and 111 units, 25% contain between 111 and 172 units, and 25% contain greater than 172 units. (Option V).
Determination of IQR: The interquartile range (IQR) is the range of the middle 50% of the data set. The IQR is calculated as follows:IQR = Q3 − Q1IQR = 172 − 74 = 98Thus, the value of IQR is 98.
Hence, the Main Answer is IQR = 98. The Explanation is: The interquartile range (IQR) is the range of the middle 50% of the data set. The IQR is calculated as follows: IQR = Q3 − Q1. Thus, IQR = 172 − 74 = 98 units.
The Solution is 1QR = 98. Thus, the interquartile range (IQR) is 98.
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Jamie had a bag filled with sour candies. There were 3 lemon-lime, 6 watermelon, and 5 grape sour candies. What is the correct sample space for the sour candies in the bag?
Sample space = lemon-lime, watermelon, grape
Sample space = lemon-lime, lemon-lime, lemon-lime, watermelon, watermelon, watermelon, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
Sample space = 3, 5, 6
Sample space = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
The Sample space includes all possible combinations of the three types of sour candies, taking into account that there can be multiple candies of the same type in the bag.
The correct sample space for the sour candies in the bag is:
Sample space = {lemon-lime, watermelon, grape, lemon-lime, watermelon, grape, lemon-lime, watermelon, grape, lemon-lime, watermelon, grape, lemon-lime, watermelon, grape}
Each element in the sample space represents a different possible outcome of selecting a sour candy from the bag. The sample space includes all possible combinations of the three types of sour candies, taking into account that there can be multiple candies of the same type in the bag.
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The correct sample space for the sour candies in the bag is (c) Sample space = lemon-lime, lemon-lime, lemon-lime, watermelon, watermelon, watermelon, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
What is the correct sample space for the sour candies in the bag?from the question, we have the following parameters that can be used in our computation:
3 lemon-lime, 6 watermelon, and 5 grape sour candies
The correct sample space for the sour candies in the bag is the list of items in the bag
So, we have
Sample space = lemon-lime, lemon-lime, lemon-lime, watermelon, watermelon, watermelon, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
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Fill in the missing number. % of 98 = 49
50%
since 98/2 = 49
Thats it
A telephone pole is 12 ft tall. A bird is feeding 5 ft away from the pole on the ground. If the bird flew to the top of the pole, how far would it fly?
Answer: 13 ft
Step-by-step explanation:
The scenario described forms a right angled triangle.
The Pythagorean rule therefore applies:
c² = a² + b²
c = hypotenuse( distance we are looking for)
a = base
b = height
c² = 12² + 5²
c² = 144 + 25
c = √(144 + 25)
c = √169
c = 13 ft