Answer:
Step-by-step explanation:
25%.There are four possible outcomes of two coin flips:
H H
H T
T H
T T
Thus there is a 1 in 4 chance of getting the combination H T, or 25%.
What is the base pic attached below
The base of the exponential functions is 5.
How to find the base of a exponential function?Exponential functions have the form y = a·bˣ,
where a is a constant, x is a variable and b is the base of the function.
For example, if you have the function f(x) = 2·3ˣ, the base will be 3.
In this case we have:
f(x) = (1/2)·5ˣ
Therefore, the base of the function is 5.
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What function is represented in the graph?
Select one:
y = 2(.5^x)
y = 3^x
y = 3(2^x)
y = 2(3^x)
Because the y-intercept is (0, 1), the correct option must be the second option y = 3^x
Which function represents the graph?Here we can see that we have an exponential function, so it can be written as:
f(x) = A*(b)^x
where A is the initial value and b the base.
When x = 0 we can see that the graph passes through y = 1, then:
f(0) = 1 = A*(b)^0
1 = A
So our function is of the form:
f(x) = b^x
The only one of that form is the second option, so that is the correct one.
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Assuming the average body fat percentage for men in the U.S. was 16.75 and the
standard deviation was 2.1, what percentage of men would have a body fat
percentage that is within the "normal" range of 15-20.
Approximately 72.24% of men would have a body fat percentage within the normal range of 15-20%.
Calculating the Percentage of Men with Normal Body Fat Percentage :
To solve this problem using the standard normal distribution and the process of standardization. We standardized the values of the range of 15-20% using the formula z = (x - μ) / σ.
Then use a normal distribution table or calculator to find the area under the curve between the standardized values.
Here we have
The average body fat percentage for men in the U.S. was 16.75 and the standard deviation was 2.1
To solve this problem, standardize the range of 15-20 using the formula:
=> z = (x - μ) / σ
Where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.
For the lower end of the range (15), the standardized value is:
z = (15 - 16.75) / 2.1 = -0.83
For the upper end of the range (20), the standardized value is:
z = (20 - 16.75) / 2.1 = 1.55
Now Find the area under the normal distribution curve between these two standardized values. For this use a standard normal distribution table or a calculator with a normal distribution function to find this area.
Using a calculator, we can use the normalcy function with the lower and upper bounds of -0.83 and 1.55, respectively, and a mean of 0 and a standard deviation of 1 (since we standardized the values):
=> normalcdf(-0.83, 1.55, 0, 1) ≈ 0.7224
This means that approximately 72.24% of men would have a body fat percentage within the normal range of 15-20%.
Therefore,
Approximately 72.24% of men would have a body fat percentage within the normal range of 15-20%.
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The height in meters of a projectile can be modeled by h=-4.91² + vt+s where is the time (in seconds) the
object has been in the air, v is the initial velocity (in meters per seconds) and s is the initial height (in meters). A
soccer ball is kicked upward from the ground and flies through the air with an initial vertical velocity of 4.9
meters per second. Approximately, after how many seconds does it land?
We can use the given equation to solve for the time at which the soccer ball lands. When the soccer ball lands, its height will be zero, so we can set h=0 and solve for t.
h = -4.9t^2 + vt + s
0 = -4.9t^2 + 4.9t + 0 (since the initial height, s, is 0)
0 = t(4.9t - 4.9)
t = 0 or t = 1
We can discard the solution t = 0, since this corresponds to the initial time when the ball is kicked. Therefore, the soccer ball will land after approximately 1 second.
Filipe practiced 12 fewer hours than Bianca. If Filipe practiced for 16 hours, how long did Bianca practice?
Bianca practiced for
____
hours.
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Order the following values from least to greatest:
-8 |-7| 3 |5|
PLSS HELPP TODAY!
solve for x
Answer:
160 degrees
Step-by-step explanation:
Given the function h of x equals 2 times the square root x plus 2 end root minus 3, which statement is true about h(x)?
The function is increasing on the interval (–∞, –2).
The function is decreasing on the interval (–2, ∞).
The function is increasing on the interval (–2, ∞).
The function is decreasing on the interval (–∞, 0).
pls help fast
The function h(x) is increasing on the interval (-2, ∞). The correct answer is an option (C).
Given the function h of x equals 2 times the square root x plus 2 end root minus 3.
It can be written as: h(x) = 2√(x +2) - 3
Now, take the derivative of h(x):
h'(x) = (2/2√x+2) = 1/√x+2
Since the denominator is always positive, the sign of the derivative is determined by the numerator.
The numerator is positive for all x > -2, meaning that the function is increasing on that interval.
Therefore, the function is increasing on the interval (–2, ∞).
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A woman leaves home and walks 5miles west, then 2 miles southwest. How far from home is she, and in what direction must she walk to head directly home? Round to 2 decimal places.
The Graduate Records Exam (GRE) is the entrance exam for most graduate schools. The population of individual GRE scores has a distribution that is approximately N(544, 103). What is the approximate chance that a single randomly chosen student scores less than 525 on the GRE? That is, find P(x < 525).
the approximate chance that a single randomly chosen student scores less than 525 on the GRE is 0.4279 or about 42.79%.
What is probability?
Probability is a measure of the likelihood of an event occurring.
To answer this question, we need to standardize the score of 525 using the mean and standard deviation provided:
z = (x - mean) / standard deviation
where x is the score we want to find the probability for, mean is the mean score of the population, and standard deviation is the standard deviation of the population.
In this case:
z = (525 - 544) / 103 = -0.184
We can then use a standard normal distribution table or calculator to find the probability that a randomly chosen student scores less than 525, which is equivalent to finding the probability that a standard normal variable is less than -0.184:
P(z < -0.184) = 0.4279
Therefore, the approximate chance that a single randomly chosen student scores less than 525 on the GRE is 0.4279 or about 42.79%.
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Researchers were interested in whether eating fruits and vegetables impacts life expectancy. Below
are the life expectancy data from people who ate a diet centered around fruits and vegetables for
much of their lives and data from people who did not eat many fruits and vegetables throughout
their lives. Conduct the steps of hypothesis testing on these data.
Data table: Life expectancies for people to ate fruits and vegetables vs those who did not eat
fruits and vegetables.
Did not eat fruits and vegetables
82
83
92
71
81
Ate fruits and vegetables
71
75
81
74
95
73
First step is null hypothesis and alternative test and next steps includes testing these hypothesis.
To conduct hypothesis testing on these data, we need to follow the following steps:
Step 1, State the null hypothesis and alternative hypothesis
Null Hypothesis (H0), There is no significant difference in life expectancy between people who eat fruits and vegetables and people who do not eat fruits and vegetables.
Alternative Hypothesis (Ha), People who eat fruits and vegetables have a higher life expectancy than people who do not eat fruits and vegetables.
Step 2, Decide the level of significance (alpha)
Let's assume the level of significance to be 0.05 (5%).
Step 3, Determine the test statistic and the critical value
We will use a two-sample t-test since we are comparing two independent samples. We can use Excel or any statistical software to calculate the test statistic and the critical value.
Using Excel, the test statistic (t) is -1.98, and the critical value (t_critical) is ±2.306.
Step 4, Determine the p-value
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true.
Using Excel, the p-value is 0.077.
Step 5, Make a decision and interpret the results
Since the p-value (0.077) is greater than the level of significance (0.05), we fail to reject the null hypothesis. There is insufficient evidence to conclude that people who eat fruits and vegetables have a higher life expectancy than people who do not eat fruits and vegetables.
Therefore, we can conclude that there is no significant difference in life expectancy between people who eat fruits and vegetables and people who do not eat fruits and vegetables, based on the given data. However, we should keep in mind that this conclusion is based on a small sample size and may not be generalizable to the entire population.
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Simplify 7 log 3 k + 6 log 3 m - 9 log 3 n.
Simplifying the logarithm expression 7 log 3 k + 6 log 3 m - 9 log 3 n, we have log3(k^7m^6/n^9)
Simplifying the logarithm expressionFrom the question, we have the following parameters that can be used in our computation:
7 log 3 k + 6 log 3 m - 9 log 3 n.
Apply the power rule of logarithm
So, we have
log3k^7 + log3m^6 - log3n^9
Apply the product rule of logarithm
So, we have
log3(k^7m^6/n^9)
Hence, the solution is log3(k^7m^6/n^9)
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Find the area of each rhombus-shaped tile. Then find the area of the pattern. If necessary, round to the nearest hundredth
Answer:3655.29
Step-by-step explanation:
Solve the system: x-y+3z=-4 4x+y-2z=1 2x-3y+z=-7
By use of determinants, the solution to the system of linear equations is: x = - 17 / 39, y = 71 / 39, z = 22 / 39
How to solve a system of linear equations by determinants
In this problem we find a system of three linear equations with three variables. This kind of system can be solved by means of determinants. For this case, we can use Sarrus law and the following definition:
x = D₁ / D, y = D₂ / D, z = D₃ / D
[tex]D = \left|\begin{array}{ccc}1&- 1&3\\4&1&- 2\\2&- 3&1\end{array}\right|[/tex]
D = 1 - 36 + 4 - 6 + 4 - 6
D = 9 - 48
D = - 39
[tex]D_1 = \left|\begin{array}{ccc}- 4&- 1&3\\1&1&- 2\\- 7&- 3&1\end{array}\right|[/tex]
D₁ = - 4 - 9 - 14 + 21 + 1 + 24
D₁ = - 29 + 46
D₁ = 17
[tex]D_{2} = \left|\begin{array}{ccc}1&-4&3\\4&1&- 2\\2&- 7&1\end{array}\right|[/tex]
D₂ = 1 - 84 + 16 - 6 + 16 - 14
D₂ = - 104 + 33
D₂ = - 71
[tex]D_{3} = \left|\begin{array}{ccc}1&- 1&-4\\4&1&1\\2&- 3&-7\end{array}\right|[/tex]
D₃ = - 7 + 48 - 2 + 8 - 28 + 3
D₃ = 22
x = - 17 / 39
y = 71 / 39
z = 22 / 39
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Determine if the system has a solution. If it does, how many? {4y-x=12 and 3y+3=-3
Answer:
The system has a solution at (-20,-2).
Step-by-step explanation:
To find the solution of the system, you need to find where the two equations intersect, or are equal to each other. You may do this with a calculator, but I find it much easier using a graphing software online, like Desmos.
Once I graphed these two equations, I found that they intersected each other at the point (-20,-2), so the system has ONE solution.
At x=-20, both equations have y=-2.
**I would also like to note that the second equation, y will ALWAYS equal -2, so you're really just finding where the first equation equals that as well.**
Question 3
1 pts
Assuming Jasper had a body fat percentage of 17.3, what would be his z-score
assuming the average body fat for men in the U.S. was 16.75 and the standard
deviation was 2.1?
Jasper's z-score for body fat percentage would be 0.26. This means that Jasper's body fat percentage is 0.26 standard deviations above the mean body fat percentage for men in the U.S.
How to Solve the Problem?To calculate the z-score of Jasper's body fat percentage, we use the formula:
z-score = (x - mu) / sigma
where:
x = Jasper's body fat percentage (17.3)
mu = the mean body fat percentage for men in the U.S. (16.75)
sigma = the standard deviation of body fat percentage for men in the U.S. (2.1)
Substituting the values, we get:
z-score = (17.3 - 16.75) / 2.1
z-score = 0.26
Therefore, Jasper's z-score for body fat percentage would be 0.26. This means that Jasper's body fat percentage is 0.26 standard deviations above the mean body fat percentage for men in the U.S.
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What does the transformation f(x)↦f(x)–8 do to the graph of f(x)
The transformation f(x) ↦ f(x) - 8 shifts the graph of f(x) downward by 8 units.
More specifically, for any value of x, the output of the function f(x) is subtracted by 8. This means that the y-coordinate of each point on the graph of f(x) is decreased by 8 units.
For example, suppose that point (a, b) lies on the graph of f(x). After applying the transformation f(x) ↦ f(x) - 8, the point (a, b - 8) lies on the transformed graph.
So, if the original graph of f(x) was above the x-axis, the transformed graph will be shifted downward and intersect the x-axis 8 units below where the original graph intersected it. If the original graph of f(x) was below the x-axis, the transformed graph will be shifted downward and move further away from the x-axis.
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17.25 Which number is in the ones and which is in the hundredths
Answer:
it is 17.25 it self
Step-by-step explanation:
because if the number was 17.24 upto 17.21 and less the number is 17.20 and if the number was 27.26 upto 17.29 it will rounded to 17.30.
l hope it would help
may i get branliest
You deposit $5000 in an account paying 3.5% annual interest compounded continuously. Using the formula A = pert, how long will it take for your money to get to $12,000?
The formula for continuous compounding is:
A = Pe^(rt)
where:
A = the amount of money at the end of the investment period
P = the principal amount (initial investment)
e = the mathematical constant approximately equal to 2.71828
r = the annual interest rate
t = the time in years
We are given that P = $5000, r = 3.5%, and we want to find t when A = $12,000. Substituting these values into the formula, we get:
$12,000 = $5000e^(0.035t)
Dividing both sides by $5000, we get:
2.4 = e^(0.035t)
Taking the natural logarithm of both sides, we get:
ln(2.4) = ln(e^(0.035t))
Using the rule of logarithms that ln(e^x) = x, we can simplify the right side to:
ln(2.4) = 0.035t
Dividing both sides by 0.035, we get:
t = ln(2.4) / 0.035 ≈ 26.7 years
Therefore, it will take approximately 26.7 years for the initial investment of $5000 to grow to $12,000 with continuous compounding at a rate of 3.5% per year.
How many children are 6 3/4 years old
Step-by-step explanation:
6.75 That's The Answer I Hope You Enjoy
What is 53.84 rounded to the nearest percent
Answer: 53.84 rounded to the nearest percent is 54%.
Step-by-step explanation: Let's take a look at this value. To round 53.84 to the nearest percent, we must make it a whole number first. 53.84 rounded to the nearest whole number is 54. Therefore, that is also the percent.
On a number line, which fraction is between 3/5 and 3/4
Responses:
A 1/2
B 9/10
C 4/16
D 4/5
E 71/100
Answer: E: 71/100
Step-by-step explanation:
Find the probability.
A bag contains 10 blue marbles, 5 red marbles, and 5 green marbles. You pick three
marbles from the bag, replacing the marble you chose each time. What is the probability
of choosing 3 green marbles?
O1/57
O 1/114
O 1/64
O 1/32
Answer:
Probability that the first marble drawn is blue is 10/27, since there are 10 blue marbles and 27 altogether
Probability that the second marble drawn is green is 5/26, since there are 5 green marbles and 26 altogether (a blue one is gone, remember?)
Probability that the third marble drawn is yellow is 12/25, since there are 12 yellow marbles and 25 altogether (both a blue and a green one are now gone)
Probability that all happen is product of all individual odds = 10/27*5/26*12/25 = 3.42%
The edge of a cube was found to be 30 cm with a possible error in measurement of 1 cm Use differentials to estimate the percentage error (to the nearest hundredth) In computing (a) the volume of the cube and (b) the surface area of the cube (a) (b)
The volume of the cube is 2700 cm³ and the area of the cube is 360 cm³.
The side of the cube = a = 30 cm
Error in a = da = 1 cm
(1) Volume of the cube =a³
V=a³ (Taking derivation)
therefore (dV)/(da) = 3a²
dV = 3a² * da
At a = 30cm, da = 1cm ,
dV = 3 * (30)² * (1)
= 3(900)(1)
Volume of the cube = 2700 cm³
(ii) Area of the cube = 6a²
A = 6a² (Taking derivatives)
d/dr (A) = 6(2a)
= 12a
dA = 12a * da
4 * da = 30cm, da = 1cm
dA = 12(30)(1)
Area of the cube = 360 cm²
Therefore, the volume of the cube is 2700 cm³ and the area of the cube is 360 cm³.
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q multiplicacion me da 10 y tambien la suma de -19
If the number of the terms will be 14. Then the sum of the series will be 595.
We know that,
A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
First term (a₁) = 10
Common difference (d) = 5
If the nth term is 75, then the number of the terms will be
75 = 10 + (n - 1)5
65 = (n - 1)5
13 = n - 1
n = 14
Then the sum of the series will be
S = a₁ x n + [n (n - 1)d] / 2
S = 10 x 14 + 14 x 13 x 5 / 2
S = 140 + 455
S = 595
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The complete question is given below.
Find the sum of each arithmetic series described or shown below. The sum of multiples of five from 10 to 75, inclusive.
Escribe (v) si los siguientes enunciados son verdaderos
(F) Si son falsos. Justifica tu
respuesta
a) toda ecuación cuadrática se puede resolver con la fórmula general ( )
b) las ecuaciones cuadráticas tienen siempre solución en los números reales ( )
Pongan el por qué pls
All the quadratic equation solution is done using general formula is true statement.
And the solution of quadratic equation is given by real number is false because it may have complex roots.
Every quadratic equation can be solved with the general formula.
This is true.
The general formula for solving a quadratic equation of the form
ax² + bx + c = 0 is equal to,
x = [-b ± √(b² - 4ac)] / 2a
This formula can be used to find the solutions to any quadratic equation.
Quadratic equations do not always have a solution in real numbers.
There are other types of solutions.
This is known as having complex roots.
For example, the equation x² + 1 = 0 has no real solutions.
Since the square of any real number is positive and cannot equal -1.
However, it does have complex solutions, which involve the imaginary unit i that is i = √(-1).
The solutions to x² + 1 = 0 are x = i and x = -i, both of which are complex numbers.
Therefore, the quadratic equation solved using general formula is true while quadratic equation have real solution is false as it may have complex roots.
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Can someone please help?
(A) To use the exponential formula, we need to determine the values of P, r, and n.
P = $8,500, the initial deposit
r = 2.6% = 0.026, the annual interest rate
n = 4, the number of times interest is compounded per year (quarterly)
How much money will Deshawn will have in the account in 9 years?(B) The formula for the future value of the account is:
A = [tex]P(1 + r/n)^{nt}[/tex]
where t is the time in years. Plugging in the values from part (A) and t = 9, we get:
A = [tex]$8,500(1 + 0.026/4)^{(4×9)}[/tex] = $11,169.62
Therefore, Deshawn will have $11,169.62 in the account after 9 years.
(C) The annual percentage yield (APY) takes into account the effect of compounding on the interest rate. The formula for APY is:
APY = [tex](1 + r/n)^{n}[/tex] - 1
Plugging in the values from part (A), we get:
APY = [tex](1 + 0.026/4)^{4}[/tex] - 1 = 0.02639
Therefore, the APY for the savings account is 2.639%.
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Casey has 5 shirts, 3 skirts, and 2 blazers. Make a tree diagram, of any possible outfits that Casey can make.
Sure, I can help you create a tree diagram for this problem.
Start with the first level of choices: Shirt, Skirt, or Blazer.
(see attachment)
Each branch represents a possible choice, and you can count the number of endpoints (outfit combinations) to find the total number of possible outfits.
Using this tree diagram, there are a total of 30 possible outfits that Casey can make.
The low temperature on new years day for five major cities were -12.5, -11.7,-12.4, -12.6, -12.3...on the same say the low temperature in Kansas city was warmer than Chicago but colder than New York
The average temperature in the five major cities was colder than in both Kansas City and New York.
We have,
We are not given the temperature in Kansas City and New York, but we know that Kansas City was warmer than Chicago and colder than New York.
Therefore, we can say that the temperature in Chicago was between the temperature in Kansas City and the temperature in New York.
Let's find the average temperatures in the five major cities:
average temperature
= (-12.5 - 11.7 - 12.4 - 12.6 - 12.3)/5
= -12.5
This means that the average temperature in the five major cities was -12.5 degrees Celsius.
Since we don't know the specific temperatures in Kansas City and New York, we cannot say for sure whether the temperature in Kansas City was warmer than in New York.
However, we can say that the average temperature in the five major cities was colder than in both Kansas City and New York.
Thus,
The average temperature in the five major cities was colder than in both Kansas City and New York.
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please help i struggle with mathematics thank you
Answer:
A) 17
B) 50
C) 9
Step-by-step explanation:
A)3 x 5 + 2
15 +2 =17
B) 2 x 5^2
2 x 25= 50
C) (5-2)^2
3^2= 9
