The amount of the 70% alcohol mixture you will need is 480 mL.
Given,
Percent of alcohol solution you need = 50%
You have a 240 mL of a 10% alcohol mixture on hand.
We can find the amount of alcohol in hand as,
Amount of alcohol in hand = 10% × 240
= 24 mL
So, alcohol in hand = 24 mL
Let Amount of solution you need = x
Amount of solution = 240 mL
Total amount of solution = x + 240
Amount of alcohol you get from 70% alcohol mixture = 0.7x
The ratio of the total amount of the alcohol mixture and the total amount of the solution must be 50% or 0.5.
(24 + 0.7x) / (x + 240) = 0.5
Solving,
(24 + 0.7x) = 0.5 (x + 240)
24 + 0.7x = 0.5x + 120
0.2x = 96
x = 480
Hence you need 480 mL of the 70 solution.
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Can anyone help me in less than 5 minutes cuz I’m in school at the moment and still on unit 1 and supposed to be on unit 7 today
If ur available at anytime my number is
Answer:
I think C
Step-by-step explanation:
It has a whole number as numerator and denominator so it is rational and it is a real number, but it is not an integer because it is a fraction.
Answer:
Rational, and Real numbers.
Step-by-step explanation:
There's a certain overlapping sequence of categorizing:
Whole #, Integers, Rational, Real.
Fractions and decimals belong in Rational, so you could say they are real as well.
Hope this helps! (sorry about it being brief)
Help solving this problem
Answer:
A=0.50
B=0.477
C=0.423<p<0.531
Step-by-step explanation:
sample size N :333
number of success X: 159
sample part of success x/n = 159/333
x=0.477 B
0.50 A Half a chance to flip a tail or head
part C:
\(0.477 plusminus 1.96 * \sqrt{ \frac{0.477 (1 - 0.477)}{333} } \)
simplify
\(0.477 plusminus 1.96 * 0.0536\)
expand
\(0.477 + 1.96 * 0.0536\)
\(0.531\)
expand minus
\(0.477 - 1.96 * 0.0536\)
\(0.423\)
finally answer part c
\(0.423 < p < 0.531\)
Help me please I don’t understand
Answer:16x-4-2x+8=14x+4
Step-by-step explanation:
In order to solve this question you first want to multiply everything inside the bracket by the number outside.
4(4x-1)
so 4 times 4x which is 16x and 4 times -1 which is -4 so the first bracket is
(16x-4)
then do the same for the second bracket
-2(x-4)
so -2 times x would be -2x and -2 times -4 would be 8
for the final step collect the like terms and solve
so your answer would be
16x-2x which would be 14x and -4+8 which would be 4
so in conclusion the answer is
14x+4
(03.04 MC) Two pieces of bread, banana and whole wheat, were left out on a kitchen counter and mold began to grow on them. The area of mold growth B(t), in mm2, on the piece of banana bread present after time t weeks, can be represented by the equation B(t) = 20(1.06)t. The area of mold growth W(t), in mm2, present on the piece of whole wheat bread after t weeks is represented in the table. t (in weeks) 1 2 3 4 W(t) (in mm2) 40.8 41.62 42.45 43.30 Which statement best compares the mold growth rates of the banana bread and the whole wheat bread? Question 16 options: The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was twice the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was half the mold growth rate of the whole wheat bread. The mold growth rate of the banana bread was a third the mold growth rate of the whole wheat bread.
Answer:
(a) The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread
Step-by-step explanation:
The equation for exponential growth can be written in the form ...
f(t) = a·b^t
where a is the initial value, and b is the growth factor for time period t. The growth factor is related to the growth rate by ...
b = 1 +r . . . . . where r is the growth rate in time period t
__
banana breadThe equation for the area of mold on the banana bread is given as ...
B(t) = 20·1.06^t
Comparing to our generic equation, we see ...
a = 20b = 1.06 = 1 + 0.06The growth rate of the mold on the banana bread is given as 0.06 = 6% per week.
__
whole wheat breadWe are given some values of t and area that we can use to find the growth rate of mold on the whole wheat bread.
W(1) = 40.8 = a·b^1
W(4) = 43.30 = a·b^4
The ratio is ...
W(4)/W(1) = (a·b^4)/(a·b^1) = b^3 = 43.30/40.8
Then the value of b can be found to be ...
b = ∛(43.30/40.8) ≈ 1.02002 ≈ 1 + 0.02
The growth rate of mold on the whole wheat bread is about 0.02 = 2% per week.
__
comparison of growth ratesThe mold growth rate on the banana bread compared to that on the whole wheat bread is ...
(banana bread growth rate)/(whole wheat bread growth rate) = 6%/2% = 3
We can conclude ...
The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread
Graph the equation y = 3x - 6
Select two points to graph the line.
Answer:
y intercept is -6 put your first point on that y intercept
Step-by-step explanation:
from -6 rise 3 and run 1 (to the right )
whats that point ? (0,2)
from that point 2.... run 1 ( to the right and up 3) that will take from x4 to y6
(0,2) (4,6) Two points
y2 -y1 = 6
x2-x1 =2
6/2 simplified is 3/1
Make sense?
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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Let un be the nth Fibonacci number. Prove that the Euclidean algorithm takes precisely n steps to prove that gcd(un+1, un) = 1.
Hello, Please consider the following.
Fibonacci numbers are defined as
\(u_0=1\\\\u_1=1\\\\u_{n+2}=u_{n+1}+u_{n} \ for \ n\geq 0\)
Step 1 - The proposition is true for n = 1
\(GCD(u_2,u_1) ?\\\)
Let's apply Euclidean algorithm
\(u_1=1, u_2=2\\\\u_2=2\times u_1+0 = 2 \times 1 +0\)
This is exactly 1 step and \(GCD(u_2,u_1) =1\)
Step 2 - We assume that this is true for k, meaning that the Euclidean algorithm takes precisely k steps to prove that \(GCD(u_{k+1},u_{k})=1\)
\(u_{k+2}=u_{k+1}+u_k \ and \ 0 < u_k < u_{k+1}\)
So, the first step of the algorithm is
\(u_{k+2}=u_{k+1}\times 1 +u_{k}\)
And from now, we need to find \(GCD(u_{k+1},u_k)\) which is 1 and takes k steps, by induction Hypothesis. Therefore, it takes k + 1 steps to find \(GCD(u_{k+2},u_{k+1})=1\)
Step 3 - Conclusion
We have just proved that the Euclidean algorithm takes precisely n steps to prove that \(GCD(u_{n+1},u_{n})=1\)
Thanks
2 pounds 6 ounces = ounces
2 pounds 6 ounces in ounces is equivalent to 38 ounces.
The given measurement is -
2 pounds 6 ounces
In 1 pound, there are 16 ounces.
So, we can write that -
2 pounds 6 ounces = 2 x 16 + 6
2 pounds 6 ounces = 38 ounces
So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.
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In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them play baseball. There are 18 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
2 students play both
Step-by-step explanation:n(u)=28
n(b)=7,n(b)=5,n(who play neither sport)=18
HERE,
n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)
28=7+5-n(BnB)+18
28=30-n(BnB)
n(BnB)=30-28
=2 answer
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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What is the median for 6.74
Answer:
sorry i needed the points for school
Step-by-step explanation:
Answer:
Median normally is the middle figure in a set of numbers. not totally sure.
please help!!
if f(x)=53 find x
Answer:
x=-13
Step-by-step explanation:
f(x)=-4x+1
53=-4x+1
52=-4x
52/(-4)=x
-13=x
Triangle ABC is a right triangle with legs
that measure 7 and 8 units. The length of
the hypotenuse is
Question:-
The area of two similar triangles are 81 cm2 and 49 cm² respectively. If one of the sides of the first triangle is 6.3 cm, find the corresponding side of the other triangle.
Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
To find \(\displaystyle\sf x\), we can solve the proportion above:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
Taking the square root of both sides:
\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)
Simplifying the square root:
\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)
Cross-multiplying:
\(\displaystyle\sf 9x = 6.3 \times 7\)
Dividing both sides by 9:
\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)
Calculating the value:
\(\displaystyle\sf x = 4.9\)
Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
Step-by-step explanation:
let's assume that the corresponding side of the second triangle is .
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
To find , we can solve the proportion above:
Taking the square root of both sides:
Simplifying the square root:
Cross-multiplying:
Dividing both sides by 9:
Calculating the value:
Therefore, the corresponding side of the second triangle is 4.9cm
hope it helped u dear...........
Calculate.
a) 2.7 v 3=
e) 8.19 2.1=
b) 1.6 4=
f) 12.32 \ 7.7=
c) 3.5 \ 5=
g) 25.3 4.6=
d) 0.48 6=
h) 146.32 /11.8=
Answer:
a) 23
b) 0.4
c) 0.7
d) 0.08
e) 3.9
f) 1.6
g) 5.5
h) 12.4
Step-by-step explanation:
Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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I’m not sure how to figure out this question. I’ve tried asking friends but none of us know how to convert a graph into a list of numbers
Explanation
We are given the following box plot:
We are required to determine the interquartile range from the box plot given.
We know that the interpretation of box plot is as follows:
Therefore, we have:
\(\begin{gathered} min=50 \\ Q_1=53 \\ median=71 \\ Q_3=84 \\ max=96 \end{gathered}\)We also know that the formula for interquartile range is given as:
\(interquartile\text{ }range=Q_3-Q_1\)\(\therefore interquartile\text{ }range=84-53=31\)Hence, the answer is 31.
The last option is correct.
I NEED HELPI NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP
Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.
Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
\(57=\frac{5}{8}z+7\)
\(57=\cfrac{5}{8}z+7\implies 57=\cfrac{5z}{8}+7\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{8}}{8(57)=8\left( \cfrac{5z}{8}+7 \right)} \\\\\\ 456=5z+56\implies 400=5z\implies \cfrac{400}{5}=z\implies 80=z\)
How many solutions does the following system of equations have?
Answer:
these equation hv 1 solution
like this
Step-by-step explanation:
may be this one help u then plz mark me briallent
Quinn collected some geometric figures that he calls jimps. What attribute do these jimps have in common?
Answer:
Concave
Step-by-step explanation:
Compare the function f(x) = 5x + 2 to a function g(x) that contains the following points: (1, -5) (2, -2) (3, 1) ( 4, 4). What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)?
Answer:
it is subtracting 35 minus 4,4 and then find the answer
Step-by-step explanation:
The equations of two functions are y =-28x + 8 and y=-29x + 7. Which function is changing more
quickly? Complete the explanation.
The (select) |function is changing more quickly because the (select) of ___
means that the line has a steeper slope.
Answer:
\(y=-29x+7\) is changing more quickly.
Step-by-step explanation:
This is because the equation \(y=-29x+7\) has a larger slope. The speed of change is determined entirely by the slope; the larger the slope, the faster the line goes up or down. It doesn't matter if it's negative or positive. -29 is the slope of the equation.
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Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?
25 points
Answer:
16
Step-by-step explanation:
Computer programs are sold for $20 each if 300 people buy them. For every $5.00 increase increase in price, 30 fewer people buy them
Given that the cost of a computer program is $20 if 300 people buy them. For every $5.00 increase in price, 30 fewer people buy them. We need to find the relation between the price of computer programs and the number of people who will buy them.Relation between the price of computer programs and the number of people who will buy them can be represented in a table:Price per program .
Number of people who buy them$20 300$25 270$30 240$35 210$40 180$45 150$50 120Note that with each $5.00 increase in price, 30 fewer people buy the computer program.
Hence, the number of people who will buy the computer program will reduce by 30 with each $5.00 increase in price.
For instance, if the price increases from $20 to $25, the number of people who will buy it will reduce by 30 and be 270.
In conclusion, we can say that with every $5.00 increase in price, the number of people buying computer programs reduces by 30.
The relation between the price of computer programs and the number of people who will buy them can be represented in a table.
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Choose the appropriate descripition for the equation.Given:3x2+3y2=-27
Answer:
6 + 6y = -27
Step-by-step explanation:
3×2+3y2=-27
6 + 6y = -27
Hope it helps.
Answer:
6 + 6y = -27
Step-by-step explanation:
3×2+3y2=-27
6 + 6y = -27
Hope it helps.
Which value of x, from the choices below, make the expressions x + 3 and 2x equivalent?
Answer:
x = 3
Step-by-step explanation:
paul made a list of chores he needs to complete before his dad comes home from work at 6:30 what is the latest time paul can do his chores before his dad comes home
Answer:
c
Step-by-step explanation:
just count
Answer:
C
Step-by-step explanation:
What is the value of Negative 4 squared + (5 minuses 2) (negative 6)? –34 –2 10 34
Answer: See below
*Note: I was not sure is -4² was -4² or (-4)². I have done the problem both ways. You should see the problem you are supposed to solve by looking at the 2 different equations below.
Step-by-step explanation:
The problem states -4²+(5-2)(-6). Now, this can be interpreted in another way. The key is the -4². This can also be (-4)². You get a completely different answer. Since the problem seemed like the first option, I will still do it both ways to make sure you can see the difference. If you meant (-4)², then you would still get an explanation.
-4²+(5-2)(-6)
-16+(3)(-6)
-16+(-18)
-34
_________________________________________________________
(-4)²+(5-2)(-6)
16+(3)(-6)
16+(-18)
-2
As you can see, both answers are very different. The -4 matters whether there are parentheses or not.