Problem 1 (on the left)
We can solve for y in the second equation since the coefficient here is 1.
Having coefficients that aren't -1 or 1 means we'd likely end up with fractions.
Add 5x to both sides like so:
y - 5x = 19
y = 5x+19
Now plug this into the first equation.
-3x - 8y = 20
-3x - 8( y ) = 20
-3x - 8( 5x+19 ) = 20
At this point, we have only one variable.
We stop here because your teacher does not want you to solve the final equation.
-------------------
Answers:
Variable to isolate: y
It leads to y = 5x+19 after solving the second equation for y.
And further leads to -3x - 8( 5x+19 ) = 20 after substitution.
======================================================
Problem 2 (on the right)
This time we can solve for x in the second equation. The reasoning is the same (coefficient of 1). Subtract 3y from both sides to get:
x+3y = 1
x = -3y+1
Substitute this into first equation.
Everywhere you see an x, replace it with -3y+1.
-3x - 3y = -15
-3( x ) - 3y = -15
-3( -3y+1 ) - 3y = -15
Like before, we now have one variable left.
-------------------
Answers:
Variable to isolate: x
It leads to x = -3y+1 when you solve for x in the second equation.
And further leads to -3( -3y+1 ) - 3y = -15 after substitution.
Adding fractions
5 over 10 + 1 over 3
Answer:
5/6
Step-by-step explanation:
5/10 can be simplified as 1/2
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Answer:
5/6
Step-by-step explanation:
Find the greatest common factor which is 30. Divide the GCF by the denominator. Whatever the quotient is, is how much you need to multiply the numerator by. Simplify 25/30 by dividing by 5.
Hope this helps!
Exercise 2 Determine the measures of the angles marked with letters. (Note: Lines with arrowheads are parallel)
pls answer it correctly
Answer: n⁰ = 70⁰
Ok done. Thank to me :>
please help me ☹️ ..
Answer:
The answer should be A.) (0,2) and D.) (3,0)
Step-by-step explanation:
Hope i helped.
A brainliest is always appreciated.
Sally has a new beaded necklace. 30% of the 20 beads on Sally's
necklace are blue. How many blue beads are there on Sally's necklace?
Answer:
30% of 20 is 6 so 6/20 are blue
20 - 6 = 14
Therefore Sally has 14 blue beads in her necklace
Step-by-step explanation:
Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B = the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky’s proportion of poses held for over a minute is greater than Carla’s?
Using the normal distribution and the central limit theorem, it is found that there is a 0.2033 = 20.33% probability that Becky’s proportion of poses held for over a minute is greater than Carla’s.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].For each sample, we have that:
[tex]p_B = 0.29, s_B = \sqrt{\frac{0.29(0.71)}{50}} = 0.046[/tex]
[tex]p_C = 0.35, s_C = \sqrt{\frac{0.35(0.65)}{50}} = 0.057[/tex]
For the distribution of the difference of the proportions of Becky and Carla, we have that:
[tex]\mu = p_B - p_C = 0.29 - 0.35 = 0.06[/tex]
[tex]s = \sqrt{s_B^2 + s_C^2} = \sqrt{0.046^2 + 0.057^2} = 0.073[/tex]
The probability that Becky’s proportion of poses held for over a minute is greater than Carla’s is the probability that the subtraction is above 0, that is, 1 subtracted by the p-value of Z when X = 0, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0 + 0.06}{0.073}[/tex]
[tex]Z = 0.82[/tex]
[tex]Z = 0.82[/tex] has a p-value of 0.7967.
1 - 0.7967 = 0.2033.
0.2033 = 20.33% probability that Becky’s proportion of poses held for over a minute is greater than Carla’s.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Can somebody answer this for me I’ll appreciate it so much
Solve trigonometric function
sin∅ × csc∅ + cos(3π/2 - ∅) × sin∅
Answer:
[tex]\sf \cos ^2\left(x\right)[/tex]
Explanation:
[tex]\sf \sin \left(x\right)\csc \left(x\right)+\cos \left(\frac{3\pi }{2}-x\right)\sin \left(x\right)[/tex]
[tex]\sf \sin \left(x\right)\csc \left(x\right)+\left(-\sin \left(x\right)\right)\sin \left(x\right)[/tex]
[tex]\sf \sin \left(x\right)\csc \left(x\right)-\sin ^2\left(x\right)[/tex]
[tex]\sf \cos ^2\left(x\right)[/tex]
Answer:
[tex]\cos^2(\theta)[/tex]
Step-by-step explanation:
Identities used:
[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}[/tex]
[tex]\cos(\frac{3 \pi}{2}-\theta)=\cos(\frac{3 \pi}{2})\cos(\theta)+\sin(\frac{3 \pi}{2})\sin(\theta)[/tex]
[tex]\textsf{As }\cos(\frac{3 \pi}{2})=0\textsf{ and }\sin(\frac{3 \pi}{2})=-1[/tex]
[tex]\implies \cos(\frac{3 \pi}{2}-\theta)=0 \times\cos(\theta)+-1\times\sin(\theta)=-\sin(\theta)[/tex]
[tex]\sin^2(\theta)+\cos^2(\theta)=1 \implies \cos^2(\theta)=1-\sin^2(\theta)[/tex]
Therefore,
[tex]\sin(\theta) \times \csc(\theta)+\cos(\frac{3 \pi}{2}-\theta)\times\sin(\theta)[/tex]
[tex]=\sin(\theta) \times\dfrac{1}{\sin(\theta)}-\sin(\theta)\times\sin(\theta)[/tex]
[tex]=1-\sin^2(\theta)[/tex]
[tex]= \cos^2(\theta)[/tex]
m
5
6
བ
8
The table describes some of the solutions of the
inequality 3m > 21. Which graph best describes
the solutions of 3m > 21?
9
3m
15
.
18
21
24
27
Solution?
No
No
Yes
Yes
Yes
0
1
2
3
4
5
6
7
8
9
10
I +
0
1
2
3
4
5
6
7
8
9
10
+++++
0
1
2
3
4
5
6
7
8
910
OTT
7 8 9 10
O
1
2
3
4
5
6
Answer: 2nd from the botttom
Step-by-step explanation:
Solving the inequality, we get [tex]m \geq 7[/tex], which matches with the third graph.
Find K by evaluating Limit
Answer:
4
Step-by-step explanation:
[tex]\lim_{x \to \infty}\frac{1-cos4x}{1-cos2x}= \lim_{x \to 0} \frac{(1-cos4x)'}{(1-cos2x)'}= \lim_{x \to 0}\frac{4sin4x}{2sin2x}= \lim_{x \to 0}\frac{2*2sin2xcos2x}{sin2x}\\ = \lim_{x \to 0}4cos2x\\ =4[/tex]
{L'Hospital's rule}
I hope this helps you
:)
2a-2,2a+2,6a-2
ans.
1) -3
2) -2
3) 2
4) 3
Answer:
the answer is 3 because 2a-2a+6a-2+2+2
2a-2a=0
6a-2+2+2=
6a-6
a= 3
Which of the following is not a linear function?
The table shows how many miles Jack ran per week for weeks one through nine.Question:a. Use the table to plot the points.b. Describe the correlation, including whether it is strong or weak.c. Draw a line of best fit.d. Write the equation of a line of best fit in slope-intercept form.e. Using the line of best fit, estimate how may miles Jack ran the 10th week; show work.f. During which week would you expect Jack to run a full marathon, 26.3 miles? Do you think that you should round up or down to the nearest week? Why?
Answer:can you show a picture of it??
Step-by-step explanation:
what is x' value when 5x=15?
Answer:
x = 3
Step-by-step explanation:
=> 5x=15
=> x = 15/5
=> x = 3
Answer:
x=3Step-by-step explanation:
Divide each term in 5x=15 by 5 and simplify.
∴ x=3
Thanks!
Answered by: FieryAnswererGT
#learnwithbrainly
Yousef spins the following spinner 20 times, and it lands on 2 a total of 5 times. please help I will give brainliest
Answer:
40%
Step-by-step explanation:
sryy If I am wrong
Answer:
25 %
Step-by-step explanation
i just got it right on my test a few mins ago
Find the missing term represented by n:
2(7 + 9) = 2(7) + 2 (n).
2
7
9
18
Faind the value of 9z-2 when z=3
Answer: 25
9(3)-2
9(3)=27
27-2=25
Use equivalent fractions to write an expression equivalent to 2/15 + 3/5
Answer:
2/15+3/15. = (5×2)+(15×3)/15×5 = 10+45/75=55/75 ÷5=11/15
What division problem has a 1-digit divisor and 2-digit dividend and the largest possible quotient
Answer:
99/1=99
Step-by-step explanation:
The largest possible quotient that has a 1-digit divisor and 2-digit dividend will be 99.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
The smallest one-digit number is 1 and the largest two digits number is 99. Then the largest possible quotient will be given as,
⇒ 99 / 1
⇒ 99
The largest possible quotient that has a 1-digit divisor and 2-digit dividend will be 99.
More about the Algebra link is given below.
https://brainly.com/question/953809
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João claims he can read minds. His friend Pedro asked him to guess a number he was thinking of between 1 and 7 (inclusive). João guessed Pedro's number correctly 4 out of 9 times.
Let's test the hypothesis that João cannot read minds and therefore has a chance of
1/7 of guessing the correct number each time versus the alternative that his chance is somehow greater.
The table below sums up the results of 1000 simulations, each simulating 9 guesses with a chance of 1/7 start fraction, 1, divided by, 7, end fraction of being correct.
According to the simulations, what is the probability of having 4 or more correct guesses out of ?
Let's agree that if the observed outcome has a probability less than 1\%1%1, percent under the tested hypothesis, we will reject the hypothesis.
What should we conclude regarding the hypothesis?
Choose 1 answer:
Choose 1 answer:
(Choice A)
We cannot reject the hypothesis.
(Choice B)
We should reject the hypothesis.
correct guesses out of 9 Frequency
0 250
1 375
2 250
3 97
4 24
5 4
6 0
7 0
8 0
9 0
It can be deduced that the probability of having 4 or more correct guesses will be 0.0296.
How to calculate the probabilityFrom the given information, the null hypothesis is p = 1/7 and the alternate hypothesis is p>1/7. In this case, the mind reader gets a 4 out of 9 chances.
In order to test the hypothesis, simulations for 10000 cases were run with a probability of the correct answer being 1/7.
In this case, the p-value is the probability of correct answers that are greater than 4, assuming the null hypothesis is true. Here the p-value is 0.0296.
Also, the significance level to reject the hypothesis is less than 0.01. Since p > 0.01, we then fail to reject the hypothesis. Therefore the null hypothesis stands and Joao is not a mind reader.
Learn more about probability on:
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Que número sumado a -5.5 + ? = 0
Answer:
Perdon mi Espanol no es el mejor pero la respuesta es 5.5
Step-by-step explanation:
Comstruct a parallelogram ABCD such that DC=6cm,angleADC=75 degree and the diagonal BD=9cm,construct the bisector of angle ADC and side AB,locate the point p where the two bisector meet,measure AP,DP,and angle APD.
Hi! :)
Please take a look at the diagram of the parallelogram attached.
This is your answer
Have a great day!
A school survey found that 9 out of 10 students like pizza. If three students are chosen at random with replacment what is the probability that all three student like pizza?
Answer:
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events (9/10).
0.729
How do I do this ?????
Answer:
14
Step-by-step explanation:
l-4l is 4 so 12/4=3 3x3=9 9+5 =14
Answer:
14
Step-by-step explanation:
Since absolute value is always positive, you will get 14. I will let you figure it out now. :D
ion
ranco
7. Salina finds the range of the function
y = -4x2 + 8x + 7 by calculating the vertex.
Her work is shown in the box below.
Determine her error and find the range of the
function.
4
6
8
vertex: ( 1, 11)
range: y = 11
©Maneuvering the Middle LLC, 2020
Answer:
I don't know I just want my free answers
Two lines in the same plane that do not intersect are A line segment B. perpendicular C parallel D. midpoint
Answer:
parallel
Step-by-step explanation:
A student constructs a line tangent to circle O at point P, on the circle. She followed the given steps.
Step 1: Draw a line from the center O through P that extends beyond the circle.
Step 2: With a compass on P, draw an arc on each side of P and label Q and R.
Step 3: With a compass on Q, set its width equal to and make an arc.
Step 4: With the compass on R, using the same width as the previous step, make another arc intersecting the previous arc and label the intersection S.
Step 5: Draw a line through P and S.
Which step contains an error and how can it be fixed?
A.
Step 4: Set the width of the compass equal to .
B.
Step 2: Set the compass on O, not P.
C.
Step 3: Set the width greater than .
D.
Step 5: Draw a line through O and S.
The error that was made is found in; C: Step 3 and it can be corrected by Setting the width greater than.
How to draw a line tangent to a circle?When trying to construct a line tangent to circle O at a point say P, the steps are as follows;
Step 1; Draw a line from the center through P and beyond the circle.
Step 2; With the compass on P, draw an arc each side of P, creating Q and R.
Step 3; With the compass on Q, set its width to a setting greater than QP.
Step 4; Make an arc in a random location using Q as center with distance less than QR but greater than QP.
Step 5; Without changing the compass width, repeat step 4 for point R, creating point S.
Step 6; Draw a line through P and S.
Step 7; PS is the line tangent to circle O at point P
Looking at the steps and comparing to the question, it is clear that the error was in step 3 where they made the compass on Q equal to QP rather than greater than QP.
Read more about tangent to a circle at; https://brainly.com/question/17040970
Answer:
C: Step 3 and it can be corrected by Setting the width greater than.
Step-by-step explanation:
in case you have not noticed the man who posted on top did say the answer at first then explained why, he desierves brainliest, and who ever didint see his post and made that coment, well, hes kinda blind
Please can someone help me and show the working out please
Check the picture below.
The equation of the line that passes through the points (-1. 8) and (3,0) can be written in the form y = mx + c. Find the value of m and the value of c.
Answer:
m = - 2 , c = 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (3, 0 )
m = [tex]\frac{0-8}{3-(-1)}[/tex] = [tex]\frac{-8}{3+1}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (3, 0 )
0 = - 6 + c ⇒ c = 0 + 6 = 6
ASAPPPP I NEED HELP
Answer:
Here you go. :D
(Pic included)
Step-by-step explanation:
Hope this helps!
In the table, Carmen recorded the lengths of embroidery thread (y) she needs to make bracelets of length (x).
Which equation best represents this relationship?
The equation that best represents this relationship is y = 8x
Equation of linear functionThe standard linear equation is expressed as y = mx + b
writing the given information in a coordinate form (x, y) will give (18, 144) and (22, 176)
Determine the slope "m"
Slope = 176-144/22-18
Slope = 32/4
Slope = 8
Detremine the y-intercept
144 = 8(18) + b
b = 144 - 144
b = 0
Hence the equation that best represents this relationship is y = 8x
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