6 in every 18 people have never flown on a plane? What is the ratio of people that have never flown in a plane to people that have?
Answer:
1:2
Step-by-step explanation:
If 6 have never flown, then out of 18, only 18-6=12 have flown
Expressed as 6:12
Simply the above by dividing both sides by 6
The new ratio is 1:2
how much food can this container
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
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.
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
I think of a number and on adding 13 to it ,I get 40.Write the equation for it ?
Answer:
x+13=40 and the answer to that is 27
Five observations taken for two variables follow.
xi 4 6 11 3 16
yi 50 50 40 60 30
a. Develop a scatter diagram with x on the horizontal axis.
b. What does the scatter diagram developed in part (a) indicate about the relationship
between the two variables?
c. Compute and interpret the sample covariance.
d. Compute and interpret the sample correlation coefficient.
Answer:
-60 ; -0.9689
Step-by-step explanation:
Given the data:
xi 4 6 11 3 16
yi 50 50 40 60 30
The scatter diagram indicates a linear negative relationship between x and y. Thia is indicated by the negative direction of the trend line.
Sample covariance formula:
Σ(x-xi)(y-yi) / n - 1
Using calculator : sample covariance = - 60
The variables have negative covariance meaning an increase in one variable leads to a corresponding decrease in the other.
Sample correlation Coefficient : -0.9689
This shows that a very strong negative correlation exists between both variables. Because the correlation coefficient value is very close to - 1.
4. The table shows when the tickets for a concert are sold and the types of tickets that are sold.
What is the probability that a randomly selected person attending the concert is an adult or has
purchased the ticket in advance?
SOLUTION broken down in steps:
Step 1: Find the probability that a person attending the concert is an adult:
Step 2: Find the probability that a person purchased the ticket in advance:
Step 3: Find the probability that a selected person attending the concert is an adult AND has purchased
the ticket in advance.
Answer: Probability that a person attending the concert is an adult + probability that a person purchased
the ticket in advance - the probability that a selected person attending the concert is an adult AND has
purchased the ticket in advance. (Step 1 +Step 2-Step 3)
The probability that the randomly selected person attending the concert is an adult or has purchased the ticket in advance is 188/250.
We have,
Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given a table which shows when the tickets for a concert are sold and the types of tickets that are sold.
The probability of A or B can be calculated as,
P(A or B) = P(A) + P(B) - P(A and B)
Let A denote the people is an adult.
Let B denote the people who has purchased the ticket in advance.
P(A) = 148/250
P(B) = 140/250
P(A and B) = 100/250
Probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance is,
P(A or B) = 148/250 + 140/250 - 100/250
= 288/250 - 100/250
= 188/250
Hence the required probability is 188/250.
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The pair of triangles that are congruent by the ASA criterion is
The pair of triangles that are congruent by the SAS criterion is
___________________________________________________________
Answer:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
___________________________________________________________
___________________________________________________________
Step-by-step explanation:
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
___________________________________________________________
The solution is:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
so, we have,
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
Hence, The solution is:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
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What is the solution to this system of equations?
-a - 3b + 4c = 3
5a – 8 + 5c = 27
5a – 26 + 60 = 1
Answer:
Here is your answer. Hope this helps you!
4. Which of the following angles is vertical to angle /DEB?
A
C
109°
E
D
B
Answer:
A
Step-by-step explanation:
Select the correct answer. Consider the function f(x) = 10x and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) shifted 6 units up. B. The graph of g(x) is the graph of f(x) shifted to the left 6 units. C. The graph of g(x) is the graph of f(x) shifted 6 units down. D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Answer:B
Step-by-step explanation:
The graph of g(x) is the graph of f(x) shifted to the left 6 units. Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Consider the function f(x)= 10ˣ and the function g(x), which is shown below.
g(x)= f(x - 6) = 10⁽ˣ⁻⁶⁾
If we subtract any constant from the variable then the function gets shifted toward the left by constant units.
Similarly, 6 is subtracted from the variable then the function gets shifted toward the left by 6 units.
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Use the function below to find F(3).
Answer: B
Step-by-step explanation:
Plug in x for 3. Then solve.
4*(1/3)^3
4*1/9
4/9
Element X is a radioactive isotope such that every 24 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 61 grams, to the nearest tenth of a
year?
Answer:
Step-by-step explanation:
We get to use the simple version of the half life equation:
\(N=N_0(\frac{1}{2})^{\frac{t}{H}\) where N is the amount of radioactive element left after a specific number of years,
N0 is the initial amount of the element,
t is the number of years (our unknown), and
H is the Half life of the element. For us,
N is 61
N0 is 70,
t is unknown,
H is 24 years. Filling in:
\(61=70(.5)^{\frac{t}{24}\). We begin by dividing both sides by 70 to get:
\(.8714285=(.5)^{\frac{t}{24}\) and then take the natural log of both sides:
\(ln(.8714285=ln(.5)^{\frac{t}{24}\) which allows us to bring down the exponent to the front on the right side:
\(ln(.8714285)=\frac{t}{24}ln(.5)\). We divide both sides by ln(.5) to get:
\(.1985457976=\frac{t}{24}\) and then multiply both sides by 24 to get:
t = 4.8 years
In Exercises 1–4, use these results from a USA Today survey in which 510 people chose to respond to this question that was posted on the USA Today website: "Should Americans replace passwords with biometric security (fingerprints, etc)?" Among the respondents, 53% said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security.Number and Proportiona. Identify the actual number of respondents who answered "yes."b. Identify the sample proportion and the symbol used to represent it.
Answer:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
Step-by-step explanation:
In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.
Assume that the significance level of the test is, α = 0.05.
The hypothesis can be defined as follows:
H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.
Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.
The information provided is:
\(n = 510\\\hat p=0.53\)
Compute the test statistic value as follows:
\(z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35\)
The test statistic value is 1.35.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
\(p-value=P(Z>1.35)\)
\(=1-P(Z<1.35)\\=1-0.91149\\=0.08851\\\approx0.088\)
p-value = 0.088 > α = 0.05.
The null hypothesis will not be rejected at 5% significance level.
Thus, there is not enough evidence to support the claim.
Conclusion:
The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.
What is the perimeter and area of this????? Please help fast
Hi there!
\(\large\boxed{\text{ P = 31ft, A = 35ft}^2}\)
Perimeter: Add up all the side lengths.
14 + 10 + 7 = 31 ft.
Area: Use the following formula:
A = 1/2(bh) where:
b = bass
h = height
Thus:
A = 1/2(10 · 7) = 35 ft²
not easy help me please
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
In the number line attached in my attachment,
The red line represents point :
\( \dfrac{10}{2} \)The blue line represents point :
\( \dfrac{ - 9}{2} \)I hope it helps ~
15, 16, 19, 20 how do i label it pls help
The quadrant of the terminal side for 15) is fourth quadrant.
How to change radians in degree?To change from radians to degrees, you need to the multiple the number of radians by 180/π.
Multiple the number of radians by 180/π.
15) 5 radians = 5 * (180/π)
16) 11π/6 = (11*180)/6 = 330.
19) 3.5 = 3.5*(π/180) degree.
20) 1 = 1*(π/180) degree.
therefore, terminal side for 15) is fourth quadrant.
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what other numbers can you square that result in 9 ?
Step-by-step explanation:
I'm not sure what your answers are, but you can only square 3 and -3 to get 9.
Answer:
3, -3
Step-by-step explanation:
3*3 = 9
-3 * -3 = 9
These are the only two numbers that square to 9
If 4 out of 21 people prefer diet soda to regular soda, about how many regular sodas should be bought to serve 864 people, if each person
receives one soda?
~700 regular sodas to server 864 people
(the actual answer is 699.4285)
The number of regular sodas that should be bought will be 700 regular sodas.
If out of 21 people prefer diet soda to regular soda, then it means that 17 people prefer regular soda.
Since the number of people are 864 people, then the number of regular sodas that'll be bought will be:
= 17/21 × 864
= 699.42
= 700 Approximately
Therefore, the number of regular sodas that should be bought will be 700 regular sodas.
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a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
PLS HELP WILL MARK BRAINLYEST
graph y=0.4x
Answer:
B, C, E
Step-by-step explanation:
Answer:
B,C,E
Step-by-step explanation:
The equation tells you that .4 is the slope (which is the rate of change). So B and C are both correct, if we look at E, we can put it on a graph and check if it is!
Determine if triangle PQR is similar to triangle LMK. If they are similar enter the scale factor from triangle LMK to triangle PQR.
Triangles PQR and LMK are not similar. Thus none.
What are similar triangles?Two or more triangles are said to be similar if on comparing their corresponding properties, some common relations holds. One important relation is the scale factor that relates one triangle with the other.
In the diagram given, we have;
scale factor = LK/ PR
= 18/ 10
scale factor = 1.8
But this scale factor can not be used to determine the side LM correctly.
That is,
LM ≠ 1.8*8
LM ≠ 14.4
since LM = 13
Therefore, it can be deduced that triangles PQR and LMK are not similar. Thus none.
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Can credit a customers account up to 20% of full amount due. Customers bill is 333.00, I could offer a credit of?
I could offer a credit of $66.6.
What is percentage?A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.
The given bill of customer = $333.0.
Credit can be given to customer = 20%
Now,I can credit a customers account up to 20% of full amount due
For credit off to be offer,we need to find 20% of $333
⇒ 20% of $333 = 20/100*333
⇒ 20% of $333 = $66.6
Hence, I could offer a credit of $66.6
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The ratio of 7 days to 13 days
Answer:
7:13
Step-by-step explanation:
as both no. are prime no.s the ratio will not be reduced.
(q2) A civil engineer wants to find out the length of a rod which stretches for 1 meter and can be given by the function x=2y^((3)/(2)) Find the length of the rod.
The Length of the rod is 3/5 meters.
The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).
To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,
we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,
we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.
Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,
we have:x = 2/5 y^(5/2) + 3/5
The length of the rod is given by the value of x when y = 1. Substituting y = 1,
we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5
The length of the rod is 3/5 meters.
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{1, √2, √√3, 2, √5, ...}
need help knowing the sequence and the 3 next terms
Answer:
3, 2√2, √7
Step-by-step explanation:
compute the square roots of the next three prime numbers:
√7
√11
√13
Therefore, the next three terms of the sequence are:
{1, √2, √3, 2, √5, √7, √11, √13}
chatgpt
chat
Select two of the following that represent the solution set of the given equation.
x^4-5x^2=3x^2+48
Answer:
Step-by-step explanation:
Which of the below are equations of exponential graphs?
The below are the equations of exponential graphs
\(y=5^xy=(1/5)^x\)
What is exponential growth function ?
A process called exponential growth sees a rise in quantity over time. When a quantity's derivative, or instantaneous rate of change with respect to time, is proportionate to the quantity itself, this phenomenon takes place.
A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.
An exponential function will have constant as a base and exponent contains a variable
The below are the equations of exponential graphs
\(y=5^xy=(1/5)^x\)
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