solve the system 2x+4y=16 5x +3y=19 then find the value of y/x
Answers
Answer:
I would change 2x+4y=24 into x=12–2y
To do that, divide both sides by 2 and then subtract 2y on each side.
After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.
Then solve.
3(12–2y)+2y=19
36–6y+2y=19
-4y+36=19
-4y=-17
y=4.25
Then, substitute y in either equation.
Either this:
3x+2y=19
3x+2(4.25)=19
3x+8.5=19
3x=10.5
x=3.5
Or:
2x+4y=24
2x+4(4.25)=24
2x+17=24
2x=7
x=3.5
Or you could solve it in the equation you created in the beginning:
x=12–2y
x=12–2(4.25)
x=12–8.5
x=3.5
The coordinates where the lines intercept are (3.5, 4.25).
Sorry for the long answer!
Related Questions
please help I will give you any award
Answers
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
Enter the expression using exponents. 14 × 14 × 14 × 14 × 14 × 14 = ?
Answers
The requried expression of 14 × 14 × 14 × 14 × 14 × 14 using exponents is 14⁶.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As we know that while multiplying the identical terms the product is equal to the number with the sum of the exponents such as a × a = a¹⁺¹ = a².
Similarly,
14 × 14 × 14 × 14 × 14 × 14 can be written using exponents as, 14⁶
To evaluate this expression, you can use a calculator or simplify it using the laws of exponents.
Thus, the requried expression using exponents is 14⁶.
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I don’t know how to solve this I need help
Answers
Answer:
1/3
Explanation:
In a function with the form f(x) = mx + b
The y-intercept is b, the constant value.
If the function is f(x) = -2/9x + 1/3
the constant value is 1/3, so the y-intercept is 1/3
Mean, mode, and median in these sets of numbers 55, 50, 73, 61, 68, 48,48
Answers
Mean = (403/7) or about 57.57
Mode = 48
Median = 55
Explanation:
Mean is (total)/(amount of values). In this case its (55+50+73+61+68+48+48)/7, which equals (403/7) or about 57.57
Mode is what value shows up the most. In this case its 48, which shows up twice, compared to the other values which only shows up once.
Median is the middle number when the values are arranged from least to greatest.
48, 48, 50, 55, 61, 68, 73
In this case if you count 3 from both sides, the center or middle is 55, which is the median.
Evaluate each logarithm.
log₆₄ 4
Answers
Evaluation of logarithm is \(log_{64}4 = \frac{1}{3}\)
What is logarithmic equation ?In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as \(log_{a}x\) .
where, a is the base of function or equation
x define expression
Mathematically, if \(a^x = N\) is an exponential function then, this can be converted to logarithmic function as \(log_aN = x\).
There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.
Some important formulas of logarithms :
\(log a + log b = log a.b\)\(log a - log b = log \frac{a}{b}\)\(log a^x = x loga\)\(log_aa=1\)\(log_a1=0\)According to statement,
\(log_{64}4\\\)
this equation can be written as
\(log_{2^6} 4 \\= > \frac{1}{6}log_24 \\\\ = > \frac{1}{6}log_2{2^2}\\\\= > \frac{1}{6}2log_2{2}\\\\= > \frac{1}{6}. 2 = \frac{1}{3}\)
Thus solution for this equation is \(log_{64}4 = \frac{1}{3}\)
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A cube has a side length of 3x^6 units. a smaller cube has a side length of x^2. how many smaller cubes will fit in the larger cube
Answers
\(27x^{12}\) smaller cubes will fit in the larger cube.
Given,
Side length of the smaller cube = \(x^{2}\) units.
Side length of the larger cube = \(3x^{6}\) units.
We have to find the number of smaller cubes that can be fitted in the larger cube.
Volume of cube is given by the formula,
Volume = (side)³
Volume of the larger cube = \((3x^{6} )^{3}\) = \(27x^{18}\)units³
Volume of the smaller cube = \((x^{2} )^{3}\) = \(x^{6}\) units³
Let the number of smaller cube that can be fitted in the larger cube = n
Volume of n cubes = \(nx^{6}\) units³
If space inside the larger cube will be occupied by 'n' smaller cubes,
volume of n smaller cubes = Volume of a larger cube
\(nx^{6}\) = \(27x^{18}\)
n = \(27x^{12}\)
Therefore, \(27x^{12}\) smaller cubes can be fitted in the larger cube.
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jason colors a rectangle that is 9 inches long and 6 inches wide how many sqaure inches does jason color
Answers
Answer:
54
Step-by-step explanation:
9x6= 54 inches²
5²×3⁵=
please evaluate this
Answers
Answer:
6075
Step-by-step explanation:
Yeah so basically 5 x 3 is 15.
Answer:
6,075
Step-by-step explanation:
5^2= 25 because 5^2= 5x5.
3^5= 243 because 3^5 3x3x3x3x3
243x25= 6,075.
Can you please help me out with a question
Answers
Two pyramids are similar, so ratio of the corresponding sides are equal.
Determine the height of large pyramid.
\(\begin{gathered} \frac{h}{16}=\frac{20}{5} \\ h=4\cdot16 \\ =64 \end{gathered}\)The formula for the volume of pyramid is,
\(V=\frac{1}{3}\cdot A\cdot h\)Here, A is base area of pyramid.
Determine the volume of pyramid.
\(\begin{gathered} V=\frac{1}{3}\cdot(20\cdot20)\cdot64 \\ =8533.33 \\ \approx8533.3 \end{gathered}\)So answer is V = 8533.3 inches cube.
A developing country's gross domestic product (GDP) from 2004 to 2012 is approximated by the function G(t)=−0.6t 3
+7.2t 2
+77(0≤t≤8) where G(t) is measured in billions of dollars, with t=0 corresponding to 2004 . (a) Compute the following values. G ′
(0)= G ′
(1)= G ′
(2)= G ′
(3)= G ′
(4)= G ′
(5)= G ′
(6)= G ′
(7)= G ′
(8)= (b) Compute the following values. G ′′
(0)= G ′′
(1)= G ′′
(2)= G ′′
(3)= G ′′
(4)= G ′′
(5)= G ′′
(6)= G ′′
(7)= G ′′
(8)= (c) Using the results obtained in parts (a) and (b), show that after a slow start, the GDP increases quickly and then Our calculations show that GDP is developing at an rate in the first five years. Even though the is slowing down. 12 is approximated by the function at after a slow start, the GDP increases quickly and then cools off. rate in the first five years. Even though the GDP continues to from that point on, the
Answers
The GDP of a developing country increases quickly initially, but after a slow start, it begins to cool off, indicating a declining growth rate.
(a) The values of the derivative of the GDP function, G'(t), at different points in time are as follows:
G'(0) = 0
G'(1) = 13.8 billion dollars
G'(2) = 31.2 billion dollars
G'(3) = 43.2 billion dollars
G'(4) = 49.2 billion dollars
G'(5) = 49.2 billion dollars
G'(6) = 43.2 billion dollars
G'(7) = 31.2 billion dollars
G'(8) = 13.8 billion dollars
(b) The values of the second derivative of the GDP function, G''(t), at different points in time are as follows:
G''(0) = 14.4 billion dollars
G''(1) = 24 billion dollars
G''(2) = 28.8 billion dollars
G''(3) = 28.8 billion dollars
G''(4) = 24 billion dollars
G''(5) = 14.4 billion dollars
G''(6) = 0
G''(7) = -19.2 billion dollars
G''(8) = -38.4 billion dollars
(c) Using the results obtained in parts (a) and (b), we can observe that after a slow start (with a zero derivative at t=0), the GDP increases quickly in the first five years. The positive values of G'(t) from t=1 to t=5 indicate a rapid growth rate during this period. However, after t=5, the values of G'(t) begin to decrease, suggesting a slowdown in the GDP growth rate. This is supported by the negative values of G''(t) starting from t=7, indicating a decline in the rate of growth.
Overall, the GDP initially experiences a period of rapid growth, but eventually reaches a point where the growth rate begins to slow down. This pattern is characteristic of many developing economies, where early stages of development often involve rapid growth as the country catches up with more advanced economies.
However, as the economy matures and approaches its potential, the growth rate tends to stabilize at a more sustainable level.
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Find the surface area of the prism. Write your answer as a fraction or mixed number.
Answers
Answer:
The surface area of the prism is 8/3ft²
Step-by-step explanation:
To calculate the surface area of the prism we have to use the following formula:
a = area
w = side = 2/3 ft
h = height = 2/3 ft
l = length = 2/3 ft
a = 2 * (w * h) + 2 * (w * l) + 2 * (h * l)
we replace the values that we know
v = 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft)
v = 2 * 4/9ft² + 2 * 4/9ft² + 2 * 4/9ft²
v = 8/9ft² + 8/9ft² + 8/9ft²
v = 24/9ft²
v = 8/3ft²
The surface area of the prism is 8/3ft²
Answer:
2⅔ ft²
Step-by-step explanation:
A cube has 6 square faces
6 × (⅔)²
6 × 4/9
8/3
2⅔
larry can make one batch of 3 cookies every 8 minutes. mary can make one batch of 5 cookies every 12 minutes. how long will it take them to make a combined total of 60 cookies?
Answers
The total time taken to make combined 60 cookies by Larry and Mary is equal to 75.79 minutes.
Rate at which each person can make cookies
Time to make one batch of 3 cookies made by Larry = 8 minutes
⇒Number of cookies per minute = 3/8 cookies
Time to make one batch of 5 cookies made by Mary = 12 minutes
⇒Number of cookies per minute = 5/12 cookies
Combined rate at which they make cookies,
= 3/8 + 5/12
= 9/24 + 10/24
= 19/24 cookies per minute
Together they can make 19/24 cookies per minute.
To make a total of 60 cookies,
Let 't' be the time in minutes required to make 60 cookies.
⇒ (19/24) t = 60
⇒ t = (60)/(19/24)
⇒ t = 75.79 minutes (rounded to two decimal places)
Therefore, total time taken by Larry and Mary approximately 75.79 minutes to make a combined total of 60 cookies.
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I need help asap help me with all questions and please put. The number for the question so I know thank you
Answers
Answer:
1. 6
2. 8
3. 80
4. 11
5. 60
6. 3
7. 30
8. 0.8
9. 5
10. 600
11. 150
12. 110
13. 15
14. 1.1
15. 36
Hope it helps
Solve the right triangle ABC, with C=90°. B=36°12′ c=0.6209 m
Answers
In triangle ABC, we are given that angle C is a right angle, which means it measures 90°. We also know that angle B is 36°12′, and side c has a length of 0.6209 m. Our goal is to find the measures of angle A and the lengths of sides a and b.
Using the fact that the sum of angles in a triangle is 180°, we can find angle A:
A + B + C = 180°
A = 180° - B - C = 180° - 36°12′ - 90° = 53°48′
Now, we can apply the trigonometric ratios in the right-angled triangle ABC. The ratios are defined as follows:
Sine (sin) = Opposite / Hypotenuse
Cosine (cos) = Adjacent / Hypotenuse
Tangent (tan) = Opposite / Adjacent
Using the given values, we can determine the lengths of sides a and b:
Sine ratio:
sin B = a / c
Substituting the known values, we find:
sin 36°12′ = a / 0.6209
a = 0.6209 x sin 36°12′ = 0.3774 m
Cosine ratio:
cos B = b / c
Substituting the known values, we find:
cos 36°12′ = b / 0.6209
b = 0.6209 x cos 36°12′ = 0.5039 m
Tangent ratio:
tan B = a / b
Substituting the values of a and b, we find:
tan 36°12′ = 0.3774 / 0.5039 = 0.7499
Therefore, the lengths of sides a and b are approximately 0.3774 m and 0.5039 m, respectively. Angle A measures 53°48′, angle B measures 36°12′, and angle C is the right angle.
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Write an expression for the nth term of the sequence. (your formula should work for n = 1, 2, .) 1 2 , 1 3 , 1 7 , 1 25 , 1 121 ,
Answers
The nth term of the sequence can be expressed as: \(1 / (n^2)\)
The given sequence is: 1, 2, 1/3, 1/7, 1/25, 1/121, ...
To find an expression for the nth term of this sequence, we can observe that each term is the reciprocal of a specific pattern of numbers: 1, 2, 3, 4, 5, 6, ...
Notice that the numerator of each term follows a pattern of increasing consecutive positive integers: 1, 2, 3, 4, 5, 6, ...
The denominator of each term follows a pattern of perfect squares: \(1^2, 2^2, 3^2, 4^2, 5^2, 6^2, ...\)
Therefore, the nth term of the sequence can be expressed as:
\(1 / (n^2)\)
So, the expression for the nth term of the sequence is \(1 / (n^2)\). This formula will work for n = 1, 2, 3, and so on.
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3.7 as a mixed fraction
let x =
10x =
9x =
x =
So 3.7 repeating is equal to...
Answers
Answer:
37/9Step-by-step explanation:
we have3.77777... :- is a repeating decimalLetx = 3.7...so10x =37.7...10x - x = 37.7... -3.7...9x=34x= 34/9convert to mixed number34/9=(27/9)+(7/9)=3+(7/9) =37/9 I hope this may help you.I need the answer to this please hurry
Answers
Answer: 240 is your answer for 100% of the e-book
Step-by-step explanation: so if we look at the given facts, 180 is 75% of the e-book, now take this and divide 180 by 3, and you get 25% of the e-book (60 is 25%) so if we factor that back into the 180 75%, we now get 240 at 100% of the e-book read
Explanation: You can do (180 * 4)/3 which gives you 240
Arlene is cutting square tiles along the diagonal to make pieces for a mosaic. What is an expression for the maximum diagonal length?
A. x√2
B. x √3/2
C. x^2/2
D. 2x√2
Answers
Answer:
Hello your answer is either A. B. C. OR D.
Step-by-step explanation:
This is correct cus it cant be wrong
also my other acc
is brokededed =(
Answer:
it could be one of those answers
Step-by-step explanation:
:P
Nuggets~
The jones family has liabilities of $135,000 and a net worth of $342,000.
a. what is their debt ratio? [make sure to show your work]
Answers
The Jones family's debt ratio is 39.53%, calculated by dividing their total liabilities of $135,000 by their total net worth of $342,000. The debt ratio measures the proportion of a company's total liabilities to its total assets.
The debt ratio is a financial ratio that measures the proportion of a company's total liabilities to its total assets. In this case, we can use the same ratio to determine the Jones family's debt ratio.
The formula for debt ratio is:
Debt Ratio = Total Liabilities / Total Net Worth
Substituting the given values in the formula, we get:
Debt Ratio = $135,000 / $342,000
Debt Ratio = 0.3953 or 39.53%
Therefore, the Jones family's debt ratio is 39.53%.
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4. Mr. Rogers, with his thoughtful heart, always buys Ms. Cassim black licorice when he goes to the coast. He pays
$2.75 per pound.
Linear, exponential, or neither? Explanation:
Equation:
Answers
Answer:
Step-by-step can u give a pic of qustion
choose the most appropriate measures to describe the center and the variation. find the measures you chose student heights
Answers
The most appropriate measures to describe the center and the variation is given below:
What is variation?
In statistics, variation refers to the degree of dispersion or spread of a set of data values. It is a measure of how far apart the data points are from each other, and can be used to describe the amount of diversity or variability within a dataset.
To describe the center and variation of student heights, the most appropriate measures would be:
Center: Mean or Median - Mean is the average height of all students and Median is the middle height value when all student heights are arranged in order.
Variation: Range or Standard Deviation - Range is the difference between the tallest and shortest height in the group, while Standard Deviation measures how spread out the heights are from the mean.
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what is the relationship between and A and B
Answers
Answer:
Step-by-step explanation:
Round to 1 decimal place
4.596
Answers
Answer:Original value: 4.569
Value (with 1 decimal places): 4.6
disease samples from two patients were collected and subjected to serial dilutions before running an elisa immunological assay that produces a color change when antigen is detected in a serum sample. what does it mean if the disease can be detected in samples from one person only at a dilution of 1/5, but the disease can be detected in the other patient at a dilution of 1/5 and 1/100?
Answers
It means that both people have antigens, but the second person has more of them.
Antigens are substances that can trigger an immune response in the body. They are typically proteins that are found on the surface of bacteria, viruses, and other foreign substances that enter the body. When the immune system detects an antigen, it produces antibodies to attack and destroy it. This helps the body to defend itself against infections and other diseases. Antigens can also be used in vaccines to help the body build immunity to a particular disease.
Since there is a color change in the sample in the given case, this indicates that although both individuals possess the antigen, the second individual has a greater quantity or concentration of the antigen in their body. The dilution is 1/5 and 1/100. This is so as the amount of antigen in the sample is still detected even in larger quantities of solution.
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20 A cinema records the ratio of children to adults in the audiences of two films shown
week.
Film A
Film B
Film A
children: adults
Tick (✓) the film that has the greater proportion of children in the audience.
Show how you worked out your answer.
11:19
5:7
Film B
Answers
Answer:
To compare the proportion of children in the audience for both films, we can calculate the percentage of children in each audience.
For Film A, the ratio of children to adults is 11:19, which means that the total number of parts is 11 + 19 = 30.
The percentage of children in Film A audience is:
(11/30) x 100% = 36.67%
For Film B, the ratio of children to adults is 5:7, which means that the total number of parts is 5 + 7 = 12.
The percentage of children in Film B audience is:
(5/12) x 100% = 41.67%
Since the percentage of children in Film B audience is greater than that of Film A, we can conclude that Film B has a greater proportion of children in the audience. Therefore, the answer is Film B.
What are two equivalent fractions for 4/12??
Answers
u can just multiply/divide the numerator and the denominators by the same number (if its divisible without making a complex fraction.)
Answer:
g
Step-by-step explanation:
g
Please help!!!!!!!!!!!
Answers
Let's take this problem step by step:
To find the ordered pair of the system:
⇒ must set both equations equal to each other
⇒ and solve for 'x'
Let's solve:
\(x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0\)
Let's find the x-values:
\((x-4)=0\\x=4\\\\(x+4)=0\\x=-4\)
Let's find f(x)'s value for each 'x':
\(x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27\)
Answer: (4, 11), (-4,27)
Hope that helps!
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In Exercise 9.1.15 we formulated a model for learning in the form of the differential equation
where P(t) measures the performance of someone learning a skill after a training time t, M is the maximum level of performance, and k is a positive constant. Solve this differential equation to find an expression for P(t). What is the limit of this expression?
Answers
To solve the differential equation given in Exercise 9.1.15, we need to use separation of variables method.
The given differential equation is:
dP/dt = k(M - P)
We can rearrange it as:
dP/(M - P) = k dt
Now, we integrate both sides:
∫ dP/(M - P) = ∫ k dt
ln|M - P| = kt + C
where C is the constant of integration.
We can exponentiate both sides to eliminate the natural logarithm:
|M - P| = e^(kt+C)
Since e^C is just a constant, we can replace it with another constant, A.
|M - P| = Ae^kt
Now, we can separate this equation into two cases:
Case 1: M > P
|M - P| = M - P
Therefore, we can write:
M - P = Ae^kt
Solving for P, we get:
P(t) = M - Ae^kt
Case 2: M < P
|M - P| = P - M
Therefore, we can write:
P - M = Ae^kt
Solving for P, we get:
P(t) = M + Ae^kt
So, the general solution for P(t) is given by:
P(t) =
{ M - Ae^kt, if M > P }
{ M + Ae^kt, if M < P }
Now, let's find the limit of P(t) as t approaches infinity.
When t approaches infinity, the exponential term in the solution goes to infinity. Therefore, the value of Ae^kt becomes very large compared to M, and we can ignore M in the solution.
Now, the solution becomes:
P(t) =
{ - Ae^kt, if M > P }
{ Ae^kt, if M < P }
As t approaches infinity, the exponential term goes to infinity, and the value of P(t) goes to either positive or negative infinity depending on the value of A.
Therefore, the limit of P(t) as t approaches infinity does not exist.
The composition of the policy holders of a life insurance company is: 50% standard, 40%preferred and 10% ultra-preferred. The probability that a standard policy holder dies next year is .4, the chance that a preferred policy holder dies next year is .2 and the chance that an ultra-preferred policy holder dies next year is .1. The proportion of policy holders who die next year (alternatively the probability a randomly selected policy holder dies next year) is equal to: Hint: Use the following: LEt D event of death of a policy holder; S standard policy holder; Prpreferred policy holder and U Ultra-preferred. Then note that D=[(D∩S)∪(D∩Pr)∪(D∩U)] Argue that P(D)=P(D∩S)+P(D∩Pr)+P(D∩U) Now complete the problem. Final answer should be a number; round to two decimals. Show that for any two events A and B,P(Ac∣B)=1−P(A∣B). Here as in class Ac is the complement of A
Answers
The probability that a randomly selected policy holder dies next year can be calculated by summing the individual probabilities of death for each category of policy holder, weighted by their respective proportions. Let's denote the events as follows: D represents the event of death of a policy holder, S represents a standard policy holder, Pr represents a preferred policy holder, and U represents an ultra-preferred policy holder.
Using the given information, we have:
P(D) = P(D∩S) + P(D∩Pr) + P(D∩U)
Given that the proportion of policy holders is 50% standard, 40% preferred, and 10% ultra-preferred, we can substitute these values into the equation:
P(D) = (0.5)(0.4) + (0.4)(0.2) + (0.1)(0.1)
= 0.20 + 0.08 + 0.01
= 0.29
Therefore, the proportion of policy holders who die next year, or the probability that a randomly selected policy holder dies next year, is 0.29.
To calculate the probability of a policy holder dying next year, we need to consider the probabilities of death for each category of policy holder and their respective proportions. The formula P(D) = P(D∩S) + P(D∩Pr) + P(D∩U) allows us to calculate the overall probability of death by summing the individual probabilities of death for each category, weighted by their proportions.
In this case, we are given the probabilities of death for each category: 0.4 for standard policy holders, 0.2 for preferred policy holders, and 0.1 for ultra-preferred policy holders. We are also given the proportions of each category: 50% standard, 40% preferred, and 10% ultra-preferred.
By substituting these values into the formula, we can calculate the overall probability of death. Multiplying the probability of death for each category by its corresponding proportion and summing the results gives us a final probability of 0.29, or 29%.
This means that if we randomly select a policy holder from this insurance company, there is a 29% chance that they will die within the next year based on the given probabilities and proportions.
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Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the venn diagram. Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?.
Answers
The probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.6
To find the probability that a customer who likes cake also likes pie, we need to look at the overlap between the cake and pie circles in the Venn diagram. The diagram shows that 10 customers like both cake and pie, out of a total of 25 customers surveyed.
So, the probability that a randomly chosen customer who likes cake also likes pie is:
P(pie | cake) = number of customers who like both cake and pie / number of customers who like cake
P(pie | cake) = 10/15
P(pie | cake) = 2/3
Therefore, the probability that a randomly chosen customer who likes cake also likes pie is 2/3 or 0.67.
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Answer: 2/3
Step-by-step explanation: