Answer:
x = 5
Step-by-step explanation:
Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:
AB + BC = AC
Now, using the given values, we can substitute in for the equation and solve for x:
AB + BC = AC
9 + 2x - 5 = x + 9
2x + 4 = x + 9
x = 5
Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.
Cheers.
Answer:
x=5
Step-by-step explanation:
AB + BC = AC
9+ 2x-5 = x+9
Combine like terms
2x+4 = x+9
Subtract x from each side
2x+4-x = x+9-x
x+4 = 9
Subtract 4 from each side
x+4-4 = 9-4
x=5
(1b) Using the equation, evaluate the function. Find f (0) - f(-4)
f(x)
3x - 4 if x <-6
-*-1 if-6x<-1
4 if x 2-1
Answer:
Hey there!
f(-4)=-4-1, or -5.
f(0)= 4
4-(-5)
9
Let me know if this helps :)
Plz help!
1/8 x 2/3 = ?
Lowest terms ????
Answer:
Normal form = 1/12
Decimal form: 0.0833
Three friends went shopping. Danetta spent $25 more than Elaine spent, but Jan spent $35 less than Danetta spent. If they spent $165 in all, how much did each of the friends spend?
Answer:
Elaine spent $50, Danetta spent $75, and Jan spent $40
Step-by-step explanation:
Let x represent how much Elaine spent:
Danetta will be represented by x + 25
Jan will be represented by x - 10
Then, create an equation:
x + x + 25 + x - 10 = 165
Add like terms and solve for x:
3x + 15 = 165
3x = 150
x = 50
So, this means Elaine spent $50
Plug in 50 as x to find how much Danetta and Jan spent:
x + 25
50 + 25
= $75 (Danetta)
x - 10
50 - 10
= $40 (Jan)
So, Elaine spent $50, Danetta spent $75, and Jan spent $40
The money spent by Danetta is $75, the money spent by Elaine is $50, and the money spent by Jan is $40.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let D be the money spent by Danetta, E be the money spent by Elaine, and J be the money spent by Jan.
Three friends went shopping. Danetta spent $25 more than Elaine spent. Then the equation will be
D = E + 25
E = D – 25
But Jan spent $35 less than Danetta spent. Then the equation will be
J = D – 35
If they spent $165 in all. Then the equation will be
D + E + J = 165
Put the value of E and J in the above equation.
D + D – 25 + D – 35 = 165
3D – 60 = 165
3D = 225
D = 225 / 3
D = 75
Then the value of E will be
E = D – 25
E = 75 – 25
E = 50
Then the value of J will be
J = D – 35
J = 75 – 35
J = 40
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
Which of these questions can be answered with a simple yes or no?
A. What sororities and fraternities are available?
B. Are scholarships offered?
C. What dining options are offered on campus?
D. How much is the tuition?
Answer:B
Step-by-step explanation:
B because it can be answered with yes or no while the others need more answers
Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands):
Cost 9 2 3 4 2 5 9 10
Number 85 52 55 68 67 86 83 73
A.-0.071
B. 0.708
С. 0.235
D. 0.246
Answer:
B.) 0.708
Step-by-step explanation:
Given the following data :
Cost of advertising (in thousands of $) (x) :
9
2
3
4
2
5
9
10
Number of product sold (in thousands of $) (y) :
85
52
55
68
67
86
83
73
Using the pearson Coefficient of correlation calculator, the correlation Coefficient obtained for the data above is : 0.7077 = 0.708 (3 decimal places).
This depicts a strong positive correlation between the cost of advertising and the number of product sold as the correlation Coefficient is both positive and close to 1. This means payibg a high cost for advert will almost usually result in a corresponding increase in the number of products sold.
Is anyone good at math? That can be my tutor? College Math to be exact.
Answer:
Of course, there is
Step-by-step explanation:
I'm sure there are a lot of smart people here on brainly that can be of good help. You can message any of them for help. At the mean time, you can post your maths problems here on brainly and we'll try as much as possible to help out where and when we can. Thank you, and good luck.
Which rigid motion verifies the triangles are congruent by SAS?
Answer: Reflection.
Step-by-step explanation:
In the image, we can see that the right angles share a common side. In this common side, we can see that the right angles of the triangles are next to each other (because we have a straight line cut by a perpendicular one) and the same case for the top angle.
Then if we do a reflection over this common line of one of the triangles, the result will be the other triangle.
Then the correct option is a reflection
The rigid motion that verifies the triangles are congruent by SAS is reflection.
The angle of reflection simply means the angle that's formed between the normal ray and the reflected ray. It's the line that's perpendicular to the resulting surface at the point of incidence.
According to the law of reflection, the angle of reflection must be equal to the angle of incidence. Therefore, the rigid motion that verifies the triangles are congruent by SAS is reflection.
Read related link on:
https://brainly.com/question/17296106
A_____is a set of assumptions about how sample data are selected and about the population from which the sample data are selected.a. random sampling.
b. statistical model.
c. descriptive statistics.
d. probability sampling.
Answer: probability sampling
Step-by-step explanation:
Probability sampling is used as a sampling method in which the researcher chooses samples from a large population using a method which is based on the theory of probability. For an item to be qualify as a probability sample, that item must be selected using a random selection. An example is the selection of 2 girls from a group of 20 students where 12 are girls and 8 are boys.
if q^2-1 is divisible by 8 if q is _____
Answer:
if q is odd
Step-by-step explanation:
Hello,
Either q is odd or is even.
Case 1 - we can find k integer so that q = 2k
Then, in the case
[tex]q^2-1=4k^2-1[/tex]
This is not divisible by 8, for instance, q = 6
[tex]q^2-1=36-1=35=7*5[/tex]
Case 2 - we can find k integer so that q = 2k+1
[tex]q^2-1=(2k+1)^2-1=4k^2+4k+1-1=4k(k+1)[/tex]
k(k+1) is divisible by 2 so the initial number is divisible by 8
Conclusion, the answer is q is odd.
Thanks
While conducting a goodness-of-fit test if the observed and expected values are close, you would expect which of the following?
A. Large X2 value, large p-value
B. Small x2 value, large p-value
C. Large X2 value, small p-value
D. Small X2 value, small p-value
Answer: Choice B
Small X^2 value, large p-value
=================================================
Explanation:
The X^2 refers to chi-squared or chi-square value.
If the observed and expected values are close, then their differences are small leading to small squares of those differences. Consequently, this means the sum of the squared differences is also small leading to a small X^2 value.
The p-value is the probability of getting a certain chi-square value or larger. If X^2 is small, then we have a very large chance of getting that certain X^2 value or larger. Visually, the area under the chi-square curve to the right of X^2 will be large if X^2 is small.
A large p-value means we fail to reject the null hypothesis. You can think of the p-value as the probability that the null is correct (though because of some technical reasons it's not this entirely, but its close enough). This means a large p-value tells us to accept that the data fits the distribution we're trying to compare to.
In this exercise we have to use probability knowledge so we can say that the correct alternative is:
Letter B
If the observed and expected values are close, then their differences are small leading to small squares of those differences. Consequently, this means the sum of the squared differences is also small leading to a small [tex]X^2[/tex] value.
The p-value is the probability of getting a certain chi-square value or larger. If [tex]X^2[/tex] is small, then we have a very large chance of getting that certain [tex]X^2[/tex] value or larger. Visually, the area under the chi-square curve to the right of [tex]X^2[/tex] will be large if [tex]X^2[/tex] is small.
A large p-value means we fail to reject the null hypothesis. You can think of the p-value as the probability that the null is correct . This means a large p-value tells us to accept that the data fits the distribution we're trying to compare to.
See more about probability at brainly.com/question/795909
whats 1+2*5(6/7)=? will mark brainliest
Answer: 67/7
Step-by-step explanation:
1+(2)(5)(6/7)=67/7
(Decimal: 9.571429)
hope i helped
-lvr
Answer:
The answer : 1+2*5(6/7) = 9.57142857143 or 67/7
Write an equation, in slope-intercept form using the given info.
(5, 4) m= -2/3
Answer:
y = -2/3x + 22/3
Step-by-step explanation:
An equation is written in slope-intercept form when it is written as:
y = mx + b, where m is the slope of the line and b is the y-intercept.
Therefore, because we are given m and a coordinate pair of the line, we can use the point-slope formula to make the equation.
The point-slope formula is [tex]\boxed{y-y_{1}=m(x-x_{1})}[/tex].
Because we are given only one coordinate pair, it is labeled as [tex](x_{1}, y_{1})[/tex].
Now, just plug in this information and solve the equation.
y - 4 = -2/3(x - 5) Distribute the -2/3 throughout the terms.
y - 4 = -2/3x + 10/3 Add 4 to both sides of the equation.
y = -2/3x + 22/3
9. Ms. Barton determined that the
total cost of her wedding, c,
could be represented by the
equation c = 75n + 1500, where n
is the number of people
attending the wedding. If Ms.
Barton's wedding cost $8625,
how many people attended the
wedding?
A 135 B 95
C 115 D 75
Answer:
B. 95
Step-by-step explanation:
Plug in 8625 into the equation as c:
c = 75n + 1500
8625 = 75n + 1500
Solve for n:
7125 = 75n
95 = n
So, 95 people attended.
Answer:
B
Step-by-step explanation:
So we have the equation:
[tex]c=75n+1500[/tex]
Where c represents the wedding cost and n represents the number of people who attended the wedding.
We know that the wedding cost a total of $8625. Thus, we can plug this number in for c and solve for n:
[tex]8625=75n+1500[/tex]
Subtract 1500 from both sides. The right cancels:
[tex](8625)-1500=(75n+1500)-1500\\7125=75n[/tex]
Now divide both sides by 75:
[tex](7125)/75=(75n)/75\\n=95[/tex]
Thus, a total of 95 people attended the wedding.
Susana has four times as much money as Cristina. Also the money of both adds $ 540 How much money does Cristina have?
Answer: Cristina has $135
Step-by-step explanation:
Since Susana has 4 times as much money as Cristina, just multiply 135 x 4 and you’ll get 540. Susana has 405, add 135 + 405 and you’ll get 540.
Answer:
Step-by-step explanation:
C= Cristina
S= Susana
4C =540
C= 540/4
C=135
So Cristina has $135.
135 X 4 =540
Find the equation of a line that is parallel to -6x+3y=3 and passes through the point (5,4).
[tex]\[\begin{array}{l} - 6x + 3y = 3\\y = 2x + 1\\f(x) = 2x + b\\f(5) = 4\\4 = 2 \cdot 5 + b\\ - 6 = b\\f(x) = 2x - 6\end{array}\]\\[/tex]
Solve by substitution 4y=2x and 2x+y=x/2+1
Answer:
x=1/2 y=1/4
Step-by-step explanation:
Get simplify the first equation to get x alone
4y/2=2x/2
2y=x
Plug x into the second equation
2(2y)+y=(2y)/2 +1
4y+y=y+1
4y+y-y=y-y+1
4y=1
y=1/4
Now plug the y-value into one of the equations and solve for x
4(1/4)=2x
2x=1
x=1/2
Check by plugging both the x- and y-values into the other equation and solving to make sure both sides are equal
2(1/2)+(1/4)=(1/2)/2 +1
1+1/4=1/4+1
5/4=5/4
The values are correct!
The number 35 is decreased to 33. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
The answer is
[tex]5.7 \: \%[/tex]Step-by-step explanation:
To find the percentage at which the number decreased we use the formula
[tex]Percentage \: change (\%) = \frac{change}{original \: quantity} \times 100\% \\ [/tex]From the question
The original number is 35
To find the change subtract the smaller number from the larger number
That's
Change = 35 - 33 = 2
Substitute the values into the above formula and solve.
That's
[tex]\% \: change = \frac{2}{35} \times 100 \\ = 5.714285[/tex]We have the final answer as
5.7 % to the nearest tenthTherefore the number decreased by 5.7%
Hope this helps you
Answer:5.7
Step-by-step explanation:
Hope that helps
What can be concluded of the graphed polygon?
•The slope of side a is -3/5.
•The opposite sides of the polygon are parallel.
•The adjacent sides of the polygon are perpendicular.
•The polygon is a rectangle.
Answer: the slope of side -3/5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Let f(x) = x − 3 and g(x) = x + 11. Find f(x) ⋅ g(x)
5. The number of service calls received by a local fire department is between 0 and 5. The probabilities are 0.10, 0.15, 0.30, 0.20, 0.15, 0.10, respectively. a. Write the probability distribution for the number of service calls in a given day. b. What is the expected number of service calls per day in this fire department
Answer:
2.45
Step-by-step explanation:
1. Probability distribution shows us sample space(number of calls) and their probabilities
Number of calls. Probability
0. 0.10
1. 0.15
2. 0.30
3. 0.20
4. 0.15
5. 0.19
2. We are to find expected number of calls
(0x0.1) + (1x0.15) + (2x0.30) + (3x0.20) + (4x0.15) + (5x0.10)
E(X) = 0 +0.15 + 0.6 + 0.6 + 0.6 + 0.5
= 2.45
The expected number of Service calls per day is 2.45
Thank you!
Multiply the equation (-3)(-5)
Answer: +15
Step-by-step explanation: Sine a negative times a
negative always equals a positive, (-3) · (-5) is +15.
Answer:
+15
Step-by-step explanation:
negative times a negative is always a positive
Which of the following would indicate an improvement in a company's financial position, holding other things constant?
a) The DSO decreases.
b) The inventory and total assets turnover ratios both decline.
c) The debt ratio increases.
d) The ROA decreases.
e) The MV/BV ratio increases.
Answer:
a) The DSO decreases.
Step-by-step explanation:
DSO is short for Days Sales Outstanding and it is a measure of how quickly a company can convert its accounts receivable to cash. A company is described as strong when it has enough cash flow and this can be achieved by reducing the length of days within which accounts receivable can be converted to cash.
For the company to achieve a lowered DSO, it must ensure that customers with bad or low credit ratings are not allowed, or reasonably reduced in the business. The accounting and payment procedures must also be checked to be expedient so that delays in payment procedures would be reasonably reduced.
Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands):
Cost 9 2 3 4 2 5 9 10
Number 85 52 55 68 67 86 83 73
A.-0.071
B. 0.708
С. 0.235
D. 0.246
Answer:
(B) 0.708
Step-by-step explanation:
The table, representing details of this information and all that are necessary to calculate the linear correlation coefficient r, has been attached to this response.
With all details well represented on the table, we can now find the linear correlation coefficient r using the relation attached to this response:
From the relation;
n = sample size = 8
∑xy = 3347
∑x = 44
∑y = 569
∑x² = 320
∑y² = 41681
Substitute these values into the relation as follows;
[tex]r = \frac{3347 - \frac{44* 569}{8} }{\sqrt{(320 - \frac{44^2}{8} )(41681 - \frac{569^2}{8} ) } }[/tex]
[tex]r = \frac{217.50}{307.32}\\[/tex]
r = 0.7077
r = 0.708 to 3 decimal places
Therefore, the value of the linear correlation coefficient is 0.708
A small publishing company is planning to publish a new book. The production cost will include one-time fixed cost such as editing and variable costs (such as printing) There are two production method it could use. With one method, the one time fixed cost will total $57,641, and a variable cost will be $10 per book. With the other method, the one time fixed cost will total $16,682 and a variable cost will be $19.25 per book. For how many books produces will the costs from the two methods be the same?
Answer:
4,428 books
Step-by-step explanation:
make the equation 57,641+10x=16,682+19.25x
(you’re using that equation because the numbers have to be equal at the end. also “x” is the variable) after that subtract 16,682 from both sides that should give you (40,959+10x= 19.25x) after that subtract 10x from both sides, that should give you (40,959 = 9.25x) Lastly divide both sides by 9.25 and you should get x=4,428.
Sydney has 24 coins that are a mixture of nickels and dimes that are worth $1.95. How many dimes does she have?
Answer: 15 dimes
Step-by-step explanation:
Nickels are 5 cents and dimes are 10 cents and since they are a total of 1.95 coins in total we can set up the two equations and solve for how much there are for each of the money.
x + y = 24
0.05x + 0.10y = 1.95 so solve for y and x is the number of nickels while y is the number of dimes.
x+y=24
-y -y
x = -1y +24
0.05(-1y +24) + 0.10y = 1.95
-0.05y + 1.2 + 0.10y = 1.95
0.05y + 1.2 = 1.95
-1.2 -1.2
0.05y = 0.75
y = 15
If : X ~ N (30,0?), n
= 10, S2 = 5 then P(< 32) =
Answer:
P= positive N=negative P x N = N N x P = N P x P = P N x N = P Hope that helps!?!?!
Step-by-step explanation:
Please help me fast:
Before a sale, an item’s price was $45.00. After the sale discount the price became $38.25. What was the percent of the sale discount?
Solve:
d
5.6−7y=−4(2y−0.9)+2.4
Answer:
45 − x % ∗ 45 = 38.25
− 45 x /100 = 38.25 − 45
− 45 x /100 = − 6.75
x = 6.75 ∗ 100 /45
= 15
Answer:
Step-by-step explanation:
Before a sale 45.00$
original price p =$45.00
After the sale discount, the price became $38.25
Difference of sale = 45.00-38.00= $7.00
% of sale distance =Difference of sale/p x%100
=%15
Put the numbers 1.01, 10.01, 1.11, 1.011 in order from greatest to least?
Answer:
1.011, 10.01, 1.11, 1.01
hope this helps
10.01 1.11 1.011 1.01
Step-by-step explanation:
10.01 1.11 1.011 1.01
Use Stokes' Theorem to evaluate
integral.gif
C
F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + yzj + zxk,
C is the boundary of the part of the paraboloid z = 1 − x2 − y2 in the first octant.
Answer:
[tex]-\frac{17}{20}[/tex]
Step-by-step explanation:
[tex]-\frac{17}{20}[/tex] the negativity shows that it is in the opposite direction
attached below is the detailed solution on how we got to this above answer using the stoke's theorem
[Calc1]
Help with 2 questions?
(B) What is the least squares regression line
(C) According to the model in (b), for every increase of $1000 in income, the ulcer rate (per 100 population) will go down by _________ points.
Answer:
B) y = -9.98×10⁻⁵ x + 13.95
C) 0.1
Step-by-step explanation:
Using Excel, the least squares regression line, rounded to two decimal places, is y = -9.98×10⁻⁵ x + 13.95.
The slope is -9.98×10⁻⁵, so if x increases by 1000, then y changes by -9.98×10⁻² = -0.0998. Rounded to one decimal place, the ulcer rate per 100 population will go down by 0.1 points.