Answer: 5
Step-by-step explanation: f(3) = 2x - 1
substitute the x with 3. 2(3)-1
6-1
5
Answer:
The answer is 5, hope you like!
The gcf of 18,36 and me is 2.
I am a multiple of 5
I am greater than 18 and less than 30
Based on the information provided, the only possible number that satisfies all the conditions is 20.
What is GCF?
GCF stands for "Greatest Common Factor". It is also sometimes referred to as the "Greatest Common Divisor" (GCD). The GCF of two or more numbers is the largest positive integer that divides evenly into each of the numbers. In other words, it is the largest factor that the numbers have in common.
The GCF (Greatest Common Factor) of 18, 36, and a number N is 2. Since 18 and 36 are both even numbers with a common factor of 2, any number that satisfies this condition must also be even and have a factor of 2.
The number N is a multiple of 5. Since the number is even and has a factor of 2, the only even multiple of 5 between 18 and 30 is 20.
Finally, we are given that N is greater than 18 and less than 30. The only number that satisfies all the given conditions is therefore 20.
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The following values represent the average snowfall (in inches) in January for a particular city over the last 15 years: 23, 19, 28, 31, 26, 21, 17, 34, 32, 23, 27, 28, 30, 22, 29. What is the interquartile range for the given data set? O a.) 17 b.) 3 O c.) 8 O d.) 6
The interquartile range is 8.
How to do the interquartile range?To find the interquartile range (IQR) for a data set, we first need to find the first and third quartiles. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set.
To find Q1 and Q3 for this data set, we need to order the values from least to greatest:
17, 19, 21, 22, 23, 23, 26, 27, 28, 28, 29, 30, 31, 32, 34
The median of the entire data set is the value that is exactly in the middle, which in this case is 26. The median of the lower half of the data set (Q1) is the value that is exactly in the middle of that half, which is the average of 21 and 23, or 22. The median of the upper half of the data set (Q3) is the value that is exactly in the middle of that half, which is the average of 30 and 31, or 30.5.
To find the interquartile range, we subtract Q1 from Q3:
IQR = Q3 - Q1 = 30.5 - 22 = 8.5
Therefore, the answer is (c) 8.
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A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she ascended 61.9 feet. How many feet had she been below sea level, if she was 21.6 feet below sea level after she ascended?
The scientist was 83.5 feet below sea level while studying ocean life.
Given that:-
Distance the scientist ascended after studying the ocean life = 61.9 feet
Distance below sea level the scientist is after ascending = 21.6 feet
We have to find the distance by which the scientist was below sea level while studying the ocean life.
We know that,
Distance by which the scientist was below sea level while studying the ocean life = Distance the scientist ascended after studying the ocean life + Distance below sea level the scientist is after ascending
Hence, we can write,
Distance by which the scientist was below sea level while studying the ocean life = 61.9 + 21.6 = 83.5 feet.
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Solve: 3x - 3 = x + 1
Hello !
Answer:
\(\Large\boxed{ \sf x = 2}\)
Step-by-step explanation:
Let's solve the following equation by isolating x.
\( \sf3x - 3 = x + 1\)
First, add 3 to both sides :
\( \sf3x - 3 + 3 = x + 1 + 3\)
\( \sf3x = x + 4\)
Now let's substract x from both sides :
\( \sf3x - x = 4\)
\( \sf2x = 4\)
Finally, let's divide both sides by 2 :
\( \sf \frac{2x}{2} = \frac{4}{2} \)
\( \boxed{ \sf x = 2}\)
Have a nice day ;)
In a survey of 232 professional athletes, it was found that 121 of them owned a convertible, 100 of them owned a giant screen tv, and 93 owned a sporting goods store. 18 owned a convertible and a store, 38 owned a tv and a store, and 54 owned a covertible and a tv. 5 owned all three items. how many athletes did not own any of the three items? how many owned a covertible and a tv, but not a store? how many athletes owned a convertible or a tv? how many athletes owned exactly one type of item in the survey? how many athletes owned at least one type of item in the survey? how many owned a tv or a store, but not a convertible?
In a survey of 232 professional athletes, 23 athletes do not own any of the three items. 49 owns a convertible and a tv, but not a store. 163 athletes owns a convertible or a tv. 109 athletes owns exactly one type of item in the survey. 209 athletes owns at least one type of item in the survey. 55 owns a tv or a store, but not a convertible.
Using Venn diagram, a diagram used to present the relationship between sets in a logical form, we analyze the given information.
athletes who do not own any of the three items = 232 - (121 + 100 + 93) +(54 + 38 + 18) - 5 = 23
athletes who owns a convertible and a tv, but not a store = 54 - 5 = 49
athletes who owns a convertible or a tv = (121 + 93) - (18 + 38 - 5) = 163
athletes who owns exactly one type of item in the survey = (121 - 54 - 18 + 5) + (100 - 38 - 54 + 5) + (93 - 18 - 38 + 5) = 109
athletes who owns at least one type of item in the survey = 121 + 100 + 93 - 54 - 38 - 18 + 5 = 209
athletes who owns a tv or a store, but not a convertible = (100 - 54 -38 + 5) + (93 - 18 - 38 + 5) = 55
See attached photo for reference.
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Awnser and show your work <3
Answer:
-14
Step-by-step explanation:
isolate x's on one side so subtract 8.5x and add 1 on both sides
\(-14 = 1x\)
simplifies to
x = -14
compute the accumulated value of $8600at 6.45% after 8
months (simple interest)
The accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8971.90.
To compute the accumulated value of $8600at 6.45% after 8 months (simple interest), we need to use the formula for simple interest, which is given by:
I = P × r × t
Where, I is the interest earned, P is the principal amount, r is the interest rate, and t is the time in years.
Here, we have t in months, so we need to convert it into years by dividing by 12.
So, t = 8/12 = 2/3 years.
Now, substituting the given values, we get:
I = 8600 × 6.45/100 × 2/3 = $371.90
Therefore, the accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8600 + $371.90 = $8971.90.
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Round 122.1587 to the nearest hundredth?
Answer:
100
Step-by-step explanation:
H T U
1 2 2
2 is a num below 5 therefore
2=0
20 points do all thanks
Answer:
so you don't have to give me points but I can explain how to do it
Step-by-step explanation:
so for number 1. it says y=3x-7 and the equation is 5x+4y=6
so basically your plugging in y so
5x+5(3x-7)=6 and you will get your answer
What is the difference?
A:-6-(11)
B:0-17
C:05
D:0 17
Answer:
-17 :)
hope this is helpful
<3
Which one is a prime number 8?.
The given number 8 is not a prime number.
Given that,
To justify whether the number 8 is a prime number or not.
A prime number is a whole number bigger than one with just the number one and itself as factors.
Here,
A prime number is given as 1,2, 3,5, 7, 11, 13, and so on,
From the above series, it is determined that 8 is not a prime number.
Thus, the given number 8 is not a prime number.
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Point (-1, 4) is reflected over the y-axis. what are the coordinates of the new point
Answer:
(1, 4)
Step-by-step explanation:
I can't really show my work, but i hope this helps-
I need help please !!!!!!!!
Factor using the perfect square rule.
( 5 x − 1 ) ^2
Triangle A B C. The length of side A C is 10, B C is 6, and A B is 8. Triangle A prime B prime C prime. Side A prime C prime has a length of 5.
Triangle ABC is dilated to get triangle A'B'C'. Which is the length of A'B'?
Options:
3
4
5
16
The measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.
What is scale factorScale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.
The dilation if the triangle ABC implies it is bigger than the triangle A'B'C' with a scale factor 1/2 since AC = 10 and A'C' = 5
side A'B' = 8 × 1/2
side A'B' = 4
Therefore, the measure of side A'B' for the triangle A'B'C' is equal to 4 using a scale factor of 1/2 to dilate it.
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Answer:
the answer is B, 4. :)
g is most data likely to be skewed or symmetric? there is no right or wrong here but discuss and take a side on the issue.
Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.
There is very little confidence that the population would behave in expected ways.
The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.
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if a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces?
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
What is probability ?Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.
Here,
X υ N (22,1)
Probability that basketball will weigh between 20.5 and 23.5
is:
=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1 ]
=> P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)
=> P(20.5 < x < 23.5) = 0.866
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
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Help PLZ
I just need an answer it doesn't have to be correct.
Answer:
you can decide if you want this answer or not :D
Step-by-step explanation:
1st , notice that our problem is about an eight part whole. I mean, the questions are around an object of 8 parts. so start thinking 1/8 ths
A) asks about P(7) ... they want to know.. how often the spinner will land on 7. so if it's totally random, 7 will happen just as likely as any of the other numbers so 7 will happen 1/8 th of the time
as a fraction it's 1/8 as a decimal it's 0.125 and as a percent it's 12.5 %
B) asks about P(2 or 6 ) [ btw, p here stands for probability ]
so it's 1/8 + 1/8 = 1/4 or one quarter of the time we would get a 2 or a 6
as a fraction it's 1/4 , as a decimal it's 0.25 and as a percent it's 25%
C) asks about P( greater than 4) or P( >4) so that's the whole left side of the circle :0
as a fraction it's 1/2 as a decimal it's 0.5 and as a percent it's 50%
D) P( not a 5) or P( ~=5) so every thing but a 5
as a fraction that's 7/8 as a decimal it's 0.875 and as a percent that 87.5 %
I'll take the odds on that last one to win the lottery plz :)
The summit of Mount Mauna Kea is approximately 13,796 ft above sea level. What is the distance from the summit to the horizon, rounded to the nearest mile
Answer:
About 145 miles.
Explanation:
Assume that the distance from the center of the earth to any point on the earth's surface is 4,000 miles.
Step-by-step explanation:
r
=
4000
v
=
13796
5280
(divide by 5280 to convert to miles)
Using Pythagorean's Theorem:
a
2
+
b
2
=
c
2
a
2
+
4000
2
=
(
4000
+
13796
5280
)
2
a
2
=
(
4000
+
13796
5280
)
2
−
4000
2
a
=
√
(
4000
+
13796
5280
)
2
−
4000
2
≈
144.6
Answer:
About 145 miles.
Explanation:
Assume that the distance from the center of the earth to any point on the earth's surface is 4,000 miles.
Step-by-step explanation:
r = 4000
v = 13796/5280
(divide by 5280 to convert to miles)
Using Pythagorean's Theorem:
a^2 + b^2 = c^2
a^2 + 4000^2 = (4000 + 13796 /5280)^2
a^2 = (4000 + 13796 /5280)^2 − 4000^2
a = √(4000 + 13796 /5280)^2 − 4000^2 ≈ 144.6
This is just a shrunk down version so it is easier to read. All credit goes to the other answer.
To graduate you must take at least 12 core credits and 6 electives credits and you can take no more than a total of 26 credits. Write a system of inequalities that defines how many of each you can take.
C≥12,E≥6,C+E≤26
C+E≥18,C+E≤26
C+E≥18,C+E<26
C≤12,E≤6,C+E≤26
Answer:
C≥12,E≥6,C+E≤26
Step-by-step explanation:
i just took the quiz and got it right
The system of inequalities will be C≥12, E≥6, and C+E≤26. Then the correct option is A.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The Inequality to graduate you must take at least 12 core credits,
C≥12
The Inequality to graduate you must take at least 6 electives credits,
E≥6
No more than a total of 26 credits for both core and electives.
C+E≤26
Hence, the correct option is A.
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A government agency has estimated that a flood control project has costs and benefits that are parabolic, according to the equation: ( PW of benefits )
2
−18∗( PW of cost )+54=0 Both benefits and costs are stated in millions of dollars. a. What is the present worth of cost for the project that optimizes the benefit/cost ratio, over the life of the project, rounding to $x.x million? At that optimal level, what is the B/C ratio, rounding to thousandths (x.xxx)? b. What is the present worth of cost for the project that would instead optimize the net present worth?
At the optimal level where the present worth of cost is $3 million, the B/C ratio is 0 that is present worth of cost that optimizes the benefit/cost ratio.
To find the present worth of cost that optimizes the benefit/cost ratio, we need to solve the given equation:
(PW of benefits)² - 18 * (PW of cost) + 54 = 0
Let's solve this equation to find the present worth of cost.
By rearranging the equation, we have:
(PW of benefits)² = 18 * (PW of cost) - 54
Taking the square root of both sides, we get:
PW of benefits = √(18 * (PW of cost) - 54)
To optimize the benefit/cost ratio, we want to find the value of PW of cost that minimizes the denominator. In this case, we can consider the derivative of the benefit/cost ratio with respect to the PW of cost and set it equal to zero to find the minimum value. Taking the derivative of the benefit/cost ratio with respect to the PW of cost, we get:
d(B/C) / d(PW of cost) = -18 / (PW of benefits)
= -18 / √(18 * (PW of cost) - 54)
Setting the derivative equal to zero, we have:
-18 / √(18 * (PW of cost) - 54) = 0
Solving this equation, we find that PW of cost = $3 million.
Therefore, the present worth of cost for the project that optimizes the benefit/cost ratio is $3 million. To calculate the B/C ratio at the optimal level, we substitute the value of PW of cost into the equation:
(PW of benefits)² - 18 * (PW of cost) + 54 = 0
(PW of benefits)² - 18 * 3 + 54 = 0
(PW of benefits)² = 0
PW of benefits = 0
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what's
\(99 - 11 × 9\)
Answer:
the answer is 0
Step-by-step explanation:
9×(_11)asw_99
Answer:
0 Ans .....
Step-by-step explanation:
Solution:
=99-11x9
=99-99
=0 Anwers ...........
can someone please help me, I don’t understand this
Answer:
To find the circumference
diameter x 3.14 = circumference
We can undo the multiplication and divide to get the diameter
37.68 /3.14 = 12
diameter / 2= radius
12 / 2 = 6
the radius is 6
radius x radius x pi = area
6 x 6 x 3.14 = 113.04
113.04 is the answer
Hope this helps
Step-by-step explanation:
Answer:
113.04 square inches.
Step-by-step explanation:
The formula to find the circumference is 2πr. The formula for the area is πr^2. We are trying to find r in order to solve the problem.
It says use 3.14 for π. The circumference is 37.68 inches.
2πr = 37.68
2 * 3.14r = 37.68
3.14r = 18.84
r = 6
Now that we know the radius of the circle, we can find the area!
πr^2 = 3.14 * (6^2) = 3.14 * 36 = 113.04.
Hope this helps!
A direct relationship between two variables is reflected in a(n) _____ correlation coefficient.
A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.
Correlation is a statistical technique for measuring and describing the relationship between two variables.
The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.
Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.
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. if these particular light bulbs have a mean lifetime of 2 months with a standard deviation of 0.25 months (per the manufacturer), determine the probability that this box of 40 lightbulbs will last for 5 years.
The probability that a box of 40 light bulbs will last for 5 years is very low, due to the short mean lifetime of 2 months and the relatively high standard deviation of 0.25 months.
The mean lifetime of a particular type of light bulb is given as 2 months, and the standard deviation is given as 0.25 months. The mean lifetime represents the average time that the light bulbs will last, while the standard deviation represents how much the lifetimes of the bulbs vary from the mean.
To determine the probability that a box of 40 light bulbs will last for 5 years, we need to convert the given information into a format that we can work with. 5 years is equal to 60 months, and since we have 40 light bulbs, we can assume that the lifetimes of the bulbs are independent and identically distributed. This means that the probability of one bulb lasting for 60 months is the same as the probability of any other bulb lasting for 60 months.
Next, we need to calculate the standard deviation of the sample mean. The standard deviation of the sample mean represents how much the means of different samples of size 40 would vary from the population mean. The formula for the standard deviation of the sample mean is given by the following equation:
standard deviation of the sample mean = standard deviation of the population / square root of the sample size
In this case, the standard deviation of the population is given as 0.25 months, and the sample size is 40. Therefore, the standard deviation of the sample mean is:
0.25 / sqrt(40) = 0.0395
Now that we have the mean lifetime and the standard deviation of the sample mean, we can use the normal distribution to determine the probability that a box of 40 light bulbs will last for 5 years. We can assume that the lifetimes of the bulbs follow a normal distribution with a mean of 2 months and a standard deviation of 0.0395 months (which is the standard deviation of the sample mean).
To find the probability that a bulb will last for 60 months, we can use the following equation:
z = (x - μ) / σ
where z is the standard score, x is the value we want to find the probability for (60 months in this case), μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (60 - 2) / 0.0395 = 1509.49
To find the probability corresponding to this standard score, we can use a standard normal distribution table or a calculator. The probability is extremely small (close to zero), which means that it is highly unlikely that all 40 light bulbs will last for 5 years.
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Find the coordinates of point bbb on \overline{ac} ac start overline, a, c, end overline such that ababa, b is \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of acaca,
c
The coordinates of point bbb are \left(\dfrac{2a+7c}{9}, 0\right)left( 9 2a+7c , 0 right).
To find the coordinates of point bbb on \overline{ac}ac start overline, a, c, end overline, we need to use the formula for the division of a line segment in a given ratio. The formula is:
\begin{aligned} x &= \dfrac{x_1m+x_2n}{m+n} \\ y &= \dfrac{y_1m+y_2n}{m+n} \end{aligned}
Where m and n are the given ratio, and (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment.
In this case, the given ratio is \dfrac{2}{7}7 2 start fraction, 2, divided by, 7, end fraction, and the coordinates of the two endpoints are (x1, y1) = (a, 0) and (x2, y2) = (c, 0).
Plugging in the values into the formula, we get:
\begin{aligned} x &= \dfrac{a \cdot 2 + c \cdot 7}{2+7} \\ y &= \dfrac{0 \cdot 2 + 0 \cdot 7}{2+7} \end{aligned}
Simplifying the equations, we get:
\begin{aligned} x &= \dfrac{2a+7c}{9} \\ y &= 0 \end{aligned}
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Aline passes through (2, -1) with slope 3.
What is the equation of the line in slope-intercept form?
what is the largest of three consecutive integers if the sum of the two larger integers is 3 more than two times the smallest integer
Answer:
Ambitious Ambitios Ambitious Ambitions
Evaluate 5(x - 1) - 2 when x = 3.
OA. 8
OB. 0
O C. 12
OD. -4
The value of f(3) for the given expression is 8.
What is evaluation of an expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the given number to replace the expression's variable before applying the order of operations to simplify the expression. The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Given, the expression is 5(x - 1) - 2
Let y = f(x) = 5(x - 1) - 2 = 5x - 5 - 2 = 5x - 7
Therefore, f(3) using the equation above is: f(3) = 5(3) - 7 = 8
Thus, the value of f(3) or y at x = 3 for the given expression is 8.
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Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
59.9%
Sorry I don’t have time to explain in the middle of an exam
The rate of growth needs to be 59.9%.
The formula used to determine the future value of an investment when interest is compounded continuously is:
FV = A x \(e^{r}\) x N
A= amounte = 2.7182818 N = number of years r = interest rateFV = future value$320,000 = $16,000 x \(e^{r}\) x 5
Divide both sides by $16,000
20 = 5\(e^{r}\)
Take the In of both sides
In(20) = 5r
Divide both sides by 5
r = 59.9%
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From 11 friends to 12 friends find the percent
Answer:
109.090909%
Step-by-step explanation:
Answer:
9.09091%
Step-by-step explanation:
From 11 friends to 12 friends find the percent
from 11 friends to 12 friends. The number of friends is increased by 1.
To get the percentage of increase:
(12 - 11) / 11 = 1 / 11 = * 100% =
The increase of 1 friend is equivalent to 9.09091% increase
11 is the basis. It is the 100%
1 is the increase. It is the 9.09091%
12 is the total number of friends.