2x+5y=16
x-8y=-13
What is the
x
-value of the solution to the system of equations?
Here we have been given with two equations and we have to calculate the values of x and y. So we would be using elimination method.
2x + 5y = 16 (Equation No 1)x - 8y = -13 (Equation No 2)★ From Equation No 2:-
>> x - 8y = -13
>> x = 8y - 13
★ In Equation No 1:-
Substituting the value of x which we got above as (8y - 13) here.
>> 2x + 5y = 16
>> 2 (8y - 13) + 5y = 16
>> 2 × (8y - 13) + 5y = 16
>> 16y - 26 + 5y = 16
>> 21y - 26 = 16
>> 21y = 26 + 16
>> 21y = 42
>> y = 42 / 21
>> y = 6 / 3
>> y = 2
★ Finding out value of x:-
>> x = 8y - 13
>> x = 8 (2) - 13
>> x = 16 - 13
>> x = 3
A simple random sample of 800 elements generates a sample proportion overline p =0.66 . ( Round your answers to four decimal places . ) ( a ) Provide a 90 % confidence interval for the population proportion . to ( b ) Provide a 95 % confidence interval for the population proportion . to
STEP - BY - STEP EXPLANATION
Whatto find?
• 90% confidence interval for the population proportion.
,• 95% confidence interval for the ppulation proportion.
Given:
n= 800
p=0.66
q=1- p= 1- 0.66 =0.34
a) Given a 90% confidence interval,
α =1- 0.90= 0.10
\(Z_{\frac{\alpha}{2}}=Z_{\frac{0.10}{2}}=Z_{0.05}=1.645\)\(C.I=\bar{P}\pm Z_{\frac{\alpha}{2}}\times\sqrt{\frac{\bar{P}\bar{q}}{n}}\)\(=0.66\pm1.645\times\sqrt{\frac{0.66\times0.34}{800}}\)\(\begin{gathered} =0.66\pm0.02755 \\ \\ =(0.6324,\text{ 0.6276\rparen} \end{gathered}\)b)
Given 95% confidence interal.
1- 0.95 =0.
ANSWER
a) (0.6276, 0.6324)
1. Which of the following are equivalent to 24?
Select all that apply. Then choose 2 of your
selection and explain or show how they are
equivalent to 24.
a. 2 x 2
b. 2 2
C.4-22
d. 4X4
e24
f. 8 X 2
g. 26 : 2
Answer:
a
Step-by-step explanation:
The total price of 5 pounds of bananas was $1.95. What was the price per pound?
Answer:
Well you divide the total of 1.95/5
.39 cent
Answer:
you would need to do 1.95/5 and that equals 39 cents so your answer would be .39
what is 37.13 + 21.03 =
Answer:
58.16
Step-by-step explanation:
is the answer
easy question
An employees new salary is $27195 after getting a 5% raise. What was the salary before the increase in pay
Answer:
27195
Step-by-step explanation:
A scuba diver is descending at an average rate of 39.8 feet per minute.
What value represents the scuba diver's elevation relative to sea level after 2.9 minutes?
Rewrite the function by completing the square. f(x)=x^2-12x-29
Answer: f(x)=(x+(-6))²+(-65)
Step-by-step explanation:
f(x)=x²-12x-29
f(x)=x^2-2(x)(6)+6^2-6^2-29
f(x)=x^2-12x+6*6-6*6-29
f(x)=x^2-12x+36-36-29
f(x)=(x-6)²-65
f(x)=(x+(-6))²+(-65)
Answer:
(x-6)^2-65
Mark me as brainlist #
Decreasing by 1/10 is the same as dividing
by...?
Answer:
2/20?
Step-by-step explanation:
The circle graph Shows how a family spends his annual income. If 27,000 Is used for insurance and housing combined, what is the total annual income?
insurance = 11%
housing = 25%
Insurance + housing = 11 + 25 = 36% = 0.36 (decimal form )
That 36% is equal to $27,000
0.36 x = 27,000
x = 27,000 / 0.36
x = 75,000
Total annual income = $75,000
11x-3y=54 find slope and y intercept
Answer:
m=11/3,y intercept is (0,-18)
Step-by-step explanation:
-3y=54-11x
y=-18+11/3x
the slope is 11/3
the y intercept is (0,-18)
Use indirect reasoning to draw a conclusion in each
situation. Every student in Mr. Green's 2nd period class
got an A on the math test. Paige got a B on
the test.
Urgent, please help
I'll mark brainliest
Answer:
Step-by-step explanation:
The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
Transformation techniques
Transformation is the process of changing the position of an object on the xy-plane.
Given the parent function
f(x) = 4x
If the function is not reflected over x-axis, the resulting function will be f(x) = -4x
If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;
g(x) = 1/8(-4x)
g(x) = -1/2x
Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
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Find the midpoint of the line segment with the given endpoints.
6) (-7, -10), (-2, -3)
(separate questions)
7) (-4,-3), (8, 2)
Question 6
\(\left(\frac{-7-2}{2}, \frac{-10-3}{2} \right)=(-4.5, -6.5)\)
Question 7
\(\left(\frac{-4+8}{2}, \frac{-3+2}{2} \right)=(2, -0.5)\)
Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements. Triangle JKL is congruent to triangle . Side LK corresponds to sides . Angle JLK corresponds to angles
Answer:
Triangle JKL is congruent to triangle
✔ ABC
.
Side LK corresponds to sides
✔ WV and CB
.
Angle JLK corresponds to angles
✔ UWV and ACB
.
Step-by-step explanation:
just did it on edge 2020
Triangle JKL is congruent to triangle ABC.
Side LK corresponds to sides BC.
Angle JLK corresponds to angles BAC.
What is congruent?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
As per the given information,
ΔJKL ≅ ΔUVW: This means that triangle JKL is congruent to triangle UVW. Congruent triangles have the same shape and size, so their corresponding angles and sides are equal in measure and length, respectively.
ΔUVW ≅ ΔABC: This means that triangle UVW is congruent to triangle ABC.
Combining these two pieces of information, we can conclude that:
ΔJKL ≅ ΔABC: This is because if two triangles are congruent to the same triangle, then they must be congruent to each other. Therefore, triangle JKL is congruent to triangle ABC.
Side LK corresponds to sides BC: Corresponding sides of congruent triangles are equal in length. In this case, side LK corresponds to side VW (since JKL ≅ UVW), which corresponds to side BC (since UVW ≅ ABC).
Angle JLK corresponds to angles BAC: Corresponding angles of congruent triangles are equal in measure. In this case, angle JLK corresponds to angle UVW (since JKL ≅ UVW), which corresponds to angle BAC (since UVW ≅ ABC).
So, we can say that triangle JKL is congruent to triangle ABC, side LK corresponds to sides BC, and angle JLK corresponds to angles BAC.
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Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
There are two numbers that have a sum of 47. Three times the lesser
number is equal to 9 more than the greater number. What are the
numbers?
Answer:
The numbers are 14 and 33---------------
Let the numbers be s and l.
We are given that:
Sum of the two is 47 and 3 times the lesser number is equal to 9 more than the greater number.Set up equations:
s + l = 473s = l + 9Eliminate l:
l = 47 - s and l = 3s - 9Solve for s:
47 - s = 3s - 93s + s = 47 + 94s = 56s = 14Find l:
l = 47 - 14l = 33A packet has 54 sheets of paper. Suraj uses 4/9of the sheets. How many sheets has he used?
Answer:
Step-by-step explanation:
54(4/9)
216/9
24 sheets
Answer:
Suraj used 24 sheets of paper
which number line shows the solution to x + 8 > 15
7 is not included and hence it is depicted on the number line using an open dot. Hence, solution to the inequality is option B.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
The given inequality is:
x + 8 > 15
Subtracting 8 on both sides of the equation:
x + 8 - 8 > 15 - 8
x > 7
Here, 7 is not included and hence it is depicted using an open dot.
Hence, option B is the correct answer.
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Use cross products to solve the proportion.
14/21=a/9
Answer:
\(\sf\boxed{a=6}}}\)
Step-by-step explanation:
Isolate the term of a from one side of the equation.
14/21=a/9
Use cross products.
\(\sf{14*9=21*a}\)
Solve by a.
\(A=\dfrac{14*9}{21}=\dfrac{126}{21}=\boxed{\sf{6}}\)
a=6
So, the final answer is a=6.
I hope this helps! Let me know if my answer is wrong or not.
find each product or quotient. give all answers in simplest form. -8/12 x -2/13
Answer:
0.1025641026
Step-by-step explanation:
-8/12×-2/13
=16/156
=0.1025641026
Answer:
4/39
Step-by-step explanation:
-8/12 x -2/13
-2/3 (-2/13)
-2(-2) / 3x13
4/39
Julio tiene 12 años de edad y su padre tiene 42 años. ¿Cuántos años tendrá Julio cuando su padre tenga el doble de su edad?
Julio will be 30 years old when his father is twice his age.
To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.
Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.
For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.
Setting up an equation to solve for x:
x + 30 = 2x
Simplifying the equation, we subtract x from both sides:
30 = x
Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.
Therefore, Julio will be 30 years old when his father is twice his age.
Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?
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What is 387.0642 rounded to the nearest hundredth?
Answer:
387.0742
Step-by-step explanation:
Answer:
387.06
Step-by-step explanation:
5 or more raise the score 4 or less let it rest
not a question but thamks for helping
Answer::))
Step-by-step explanation::))
Answer:
Your welcome
Step-by-step explanation:
indeed it is humourous
9) The 50 cars used by a firm were inspected. 10 had faulty brakes and 15 had faulty tyres. There were 2 cars with faulty brakes but good tyres. How many cars had good brakes and good tyres? The answer is 33
Based on the information, there are 25 cars with good brakes and good tires.
How to calculate the valueTotal cars = 50
Cars with faulty brakes = 10
Cars with faulty tires = 15
Cars with faulty brakes and good tires = 2
Let's calculate the number of cars with good brakes and good tires:
Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires
= 10 + 15 - 2
= 25
Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires
= 50 - 25
= 25
Therefore, there are 25 cars with good brakes and good tires.
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Solve x(x-y)dy+y^2dx=0 using
Answer:
the method of exact differential equations:
We need to check if this differential equation is exact. To do that, we check if the partial derivative of the first term with respect to y is equal to the partial derivative of the second term with respect to x:
∂/∂y(x(x-y)) = x(-1) = -x
∂/∂x(y^2) = 0
Since these partial derivatives are not equal, the differential equation is not exact. We can try to make it exact by multiplying the entire equation by a suitable integrating factor.
Let's find the integrating factor (IF) by taking the partial derivative of the IF with respect to y and equating it to the partial derivative of the second term with respect to x:
∂/∂y(IF) = -y^2/(x(x-y)^2)
∂/∂x(y^2) = 0
From the first equation, we can see that an integrating factor of IF = x(x-y)^2 should make the equation exact. Multiplying the entire equation by this integrating factor, we get:
x(x-y)^2dy + y^2x(x-y)dx = 0
Now, we just need to find a function φ(x,y) such that:
∂φ/∂x = x(x-y)^2dy
∂φ/∂y = y^2x(x-y)dx
Integrating the first equation with respect to x, we get:
φ(x,y) = ∫x(x-y)^2dy + f(x)
φ(x,y) = -1/3(x-y)^3x + f(x)
Now, we differentiate this equation with respect to x and equate it to the second equation:
∂φ/∂x = -(x-y)^3 + f'(x)
∂φ/∂y = y^2(x-y)^3
Comparing the two, we can see that f'(x) = 0, which means that f(x) is a constant. We can choose this constant to be zero without loss of generality.
Therefore, the solution to the differential equation is given by:
-1/3(x-y)^3x + C = 0
where C is an arbitrary constant.
The teacher wants to encourage her students by reporting that, overall, the scores were high. Should she use the mean or median to summarize the center of the distribution of scores? She could choose either one because they are equal. She should report the mean because it will be greater than the median. She should report the median because it will be greater than the mean. All the missing scores are needed in order to decide.
She should report the Mean because it will be greater than the Median.
Let's start with the example from before. Imagine you teach a class with 20 students, and they take a test with 20 multiple choice questions about the Revolutionary War. Imagine that the grades you get back from scoring their tests look like this:
Student #1: 20 Student #6: 12 Student #11: 10 Student#16:8Student #2: 17 Student #7: 12 Student #12: 10 Student#17:6 Student #3: 16 Student #8: 12 Student #13: 10 Student #18:6 Student #4: 14 Student #9: 10 Student #14: 8 Student #19:4 Student #5: 14 Student #10: 10 Student #15: 8 Student#20: 3So you can see we have student #1 through student #20, and you can see that the scores range quite a bit. Looking at these scores you can see that one student, student #1, got a perfect score of 20 out of 20. Many students got scores somewhere in the middle, with five students getting half of the questions right - that would be a score of 10 out of 20. A few of the students did pretty well, only missing a few questions, While a few students did pretty badly but at least got a few of the questions right.
Let's say the principal of your school wants a quick summary of how your students did on their test. How would you summarize the results? The most common type of statistic, in either the context of the classroom assessment or in laboratory research projects, is statistics of summary. There are various types of Statistics of summary, but in general their purpose is to quickly give an general impression of the overall trend in results. So, just like you'd guess, based on the term Statistics of summary, these statistics just give you a ballpark idea of what happened on the test.
The most well-known statistic of summary is called the mean, which is the term we use for the arithmetic average score. When most people use the term 'average score,' what they're really referring to, technically, is what we call the mean. How do we calculate the mean? We simply add up all of the individual results, get the total, and then divide by the number of students in the class. In our example, you can see how this would look on the screen. If you add up the scores of 20 + 17 + 16 and so on through all 20 students, you get a total score of 210. You divide 210 by 20 (the number of students), and you get a mean of 10.5. You can see that this score, 10.5, is a pretty representative score of the middle score for this class, so it works nicely as a summary.
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The yearly cost of a life-saving cancer
treatment is growing exponentially. If the
current cost is $3,500 per year, which of
the following functions could represent the
annual cost of this cancer treatment in x years
Answer: x= 3500+ x^2
Step-by-step explanation:
x^2 is the formula for an exponential number. Add 3500 because that’s what you started with and then just add x^2
A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.