Find our given information
y = x + 6 -- equation 1
2x + 3y = 30 -- equation 2
plug equation 1 into equation 2
[tex]2x + 3(x+6) = 30\\2x + 3x + 18 = 30\\5x +18 =30\\x = 12/5 -- equation 3[/tex]
plug equation 3 into equation 1
[tex]y = (12/5) + 6 = 42/5[/tex]
The intersection is (12/5, 42/5)
Hope that helps!
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!
if 176 dollars = 100 pound and 1 Pound equals to rupees 119 find what is the dollar for nrs.8925
Answer:
Answer:
NRs. 8925
Step-by-step explanation:
176 dollars = 100 pounds
132 dollars = ??? pounds
Using cross-multiplication, we get:
176 dollars x ??? pounds = 100 pounds x 132 dollars
??? pounds = (100 pounds x 132 dollars)/ 176 dollars
??? pounds = 75 pounds
Now, 1 pound = NRs. 119
So 75 pounds = NRs. ???
Using cross-multiplication again, we get:
1 pound x NRs. ??? = NRs. 119 x 75 pounds
NRs. ??? = (NRs. 119 x 75 pounds)/1 pound
NRs. ??? = NRs. 8925
So the answer is 8925 Nepali rupees
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:
https://brainly.com/question/24756209
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
Testing for a disease can be made more efficient by combining samples. If the samples from people are combined and the mixture tests negative, then samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is , find the probability of a positive result for samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary?
Answer:
The probability of testing positive for one is 0.20.
The probability of testing negative for one sample is (1-0.2)=0.8.
We only save time when all five are negative, which has a probability of 0.8^5=0.32768.
This means that the expected number of tests is
combined sample tests negative = 1 with probability 0.32768
combined sample tests positive = 1+5 retests = 6 with probability 0.67232
Expected number of tests
=Σ nipi / n
=(1*0.32768+6*0.67232)/5 [divide by 5 because we tested 5 samples]
= 0.87232 < 1
So yes, there is a saving.
Note: In practice, all medical tests are not absolute, i.e. they give false-positives(α) and false-negatives (β). The ratios 1-α and 1-β are respectively measures of specificity and sensitivity.
These two parameters complicate the simplistic evaluation above.
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.
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
Select all the correct statements about the functions p (x ) = 2|x + 1| - 3 and q(x)
a )An approximate solution of the equation p(x ) = q(x ) is (-3, 1).
b )An approximate solution of the equation p(x ) = q(x ) is (-2.96, 0.9).
c) An approximate solution of the equation p(x ) = q(x ) is (1.48, 1.97).
Answer:
the answer is A )An approximate solution of the equation p(x ) = q(x ) is (-3, 1).
Step-by-step explanation:
May I ask a question?
Answer:
Yes What is Questionnaire? A questionnaire is a research instrument consisting of a series of questions for the purpose of gathering information from respondents through survey or statistical study. The questionnaire was invented by the Statistical Society of London in 1838.Step-by-step explanation:
무ㅜ됴ㅐㅜㅎ ㅗㅁㄴ됴ㅐ#Carryonlearning
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
#SPJ2
What is the slope of the line with the equation of y = −4x?
A) −3
B) −4
C) 3
D) 4
the slope is -4, so B is the answer.
Faind the value of 9z-2 when z=3
Answer: 25
9(3)-2
9(3)=27
27-2=25
Need some help.! hurry
Answer:
419ft squared
Step-by-step explanation:
Split the shape into one rectangle and one square. I would cut it off along the middle of the L right before the 23ft sign.To find the area of the rectangle, you multiply the length by the width. The length of the rectangle is 26ft, and the width is 13ft.26 • 13 = 338.The area of the square is similar. The measurements of the square are 9ft each, and 9 • 9 = 81.The last step is to add the two areas (338 + 81)If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Answer:
Step-by-step explanation:
Split the shape into two rectangles as shown in the attachment.
Rectangle I
length = 23 ft
Width = 9 ft
Area I = length * width
= 23*9
= 207 ft²
Rectangle II:
length = 13 ft
Width = 26 -9 = 17 ft
Area II = 13 * 17
= 221 ft²
Area of the entire polygon = 207 + 221
= 428 ft²
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
:)
Kari is saving money to buy a car. To purchase the car that she wants she will need to have at least a $5000 down payment. If Kari
makes $500 a month, how many months must she save, assuming that she saves 50% of her income each month?
A
A)
10 months
B)
19 months
C)
20 months
D)
21 months
Answer:
C ) She needs to save AT LEAST 20 months
Step-by-step explanation:
Half of her income each month is $250
m= months
250m ≥ 5000
m≥ 20
Help math math math ASAP ASAP
Answer:
gradient = -1
Step-by-step explanation:
identify the y intercept ( the point where it meet the y- axis ) which denoted by c in the formula y =mx + c
in the graph :the y- intercept is 5 (c)
take the coordinate of any point that passes through the line :- for example (2,3)
in (2,3), the value of x is 2
the value of y is 3
using the formula y = mx + c find m with is the gradient ( unknown )
y = mx + c
3 = m2 + 5
2m + 5 = 3
we sent + 5 to the right and it changes sign to become -5
2m = 3 -5
we substract -5 from 3
2×m = -2
we send 2 to the other side so that m can be alone, it change to become divide since it was multiply
m = -2 ÷ 2
m = -1
the gradient ( unknown ) = -1
Answer:
the answer to this is very easy
Step-by-step explanation:
but i do not know
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
Provide a detailed description of the given transformation.
Answer:
Look below.
Step-by-step explanation:
The following shape is being reflected across the y-axis.
To confirm this, we can check the coordinates.
When something is reflected across the y-axis, its points' y-coordinate don't change. Upon evaluation of the given transformation, we can see that the y-coordinate does not change for any point.
Now, we check the x-coordinate. The x-coordinate MUST be the opposite of the original x-coordinate...
-2 --> 2
-4 --> 4
0 --> 0
-4 --> 4
-2 --> 2
All of the x-coordinates are opposites, and the y-coordinates remained the same, therefore this figure is being reflected across the y-axis.
Find the missing term represented by n:
2(7 + 9) = 2(7) + 2 (n).
2
7
9
18
Please help with this math problem?
Answer:
It's y =
Step-by-step explanation:
The button at the top left where you'd then input the equation
Answer:
y=
Step-by-step explanation:
All linear equations are in the form:
y=mx+c
To be able to put this into a graphing calculator, you must put y= first.
Check attachment below for an example:
heeeeeeeeeeeelp dis to hard
Solution:
Note that:
y = -x + 1630 = 2x + ySubstitute the value of y into the equation to find x.
30 = 2x + y=> 30 = 2x - x + 16=> 30 = x + 16=> 30 - 16 = x=> x = 14Substitute the value of x into any equation to obtain the value of y.
30 = 2x + y=> 30 = 2(14) + y=> 30 = 28 + y=> 30 - 28 = y=> y = 2Putting the values in (x,y) form.
(x,y) ⇒ (x = 14,y = 2) ⇒ (14,2)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
ASAPPPP I NEED HELP
Answer:
Here you go. :D
(Pic included)
Step-by-step explanation:
Hope this helps!
Function Question :)
Please explain reasoning.
Answer:
pota pota pota thats the song
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
Learn more on equation here: https://brainly.com/question/4459283
Here now and full points it’s right here
Step-by-step explanation:
Don't make the lines i drew i wanted to make it for u easier to read it
Solve
Solve
a cylinder of radius r cm and height h cm has a curved surface area A cm[tex] {}^{2} [/tex], where[tex]A = 2\pi rh.[/tex]
a) obtain a formula for h
b) find the value of h when A = 93 ,R = 2.5 and [tex]\pi[/tex]= 3.1
A cylinder of radius r cm and height h cm has a curved surface area A cm². Where –
A = 2πrh cm²a) We are asked to find formula for h.
[tex]\qquad[/tex][tex]\purple{ \bf \longrightarrow A=2 \pi rh }[/tex]
First, overturn the equation
[tex]\qquad[/tex][tex] \sf \longrightarrow 2 \pi rh =A[/tex]
Divide both sides by 2πr
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{2\pi rh}{2\pi r } = \dfrac{A}{2\pi r}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{2 \pi r }h}{\cancel{2\pi r} } = \dfrac{A}{2\pi r}[/tex]
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow h = \dfrac{A}{2 \pi r }}[/tex]
b) Again, we are given –
Curved surface area, A = 93 cm²Radius, r = 2.5 cmπ = 3.1[tex]\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}[/tex]
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━
[tex]\qquad[/tex][tex] \bf \longrightarrow h = \dfrac{A}{2\pi r }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow h = \dfrac{93}{2 \times 3.1 \times 2.5 }[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow h = \dfrac{93}{15.5}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow h =\cancel{ \dfrac{93}{15.5}}[/tex]
[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow h = 6\: cm }[/tex]
Henceforth, height of the cylinder is 6 cm.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!
ALGEBRAIC EXPRESSIONS AND EQUATIONS
Solving a word problem with two unknowns using a linear...
Gabrielle's age is two times Mikhail's age. The sum of their ages is 87. What is Mikhall's age?
years old
?
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
Answer:
A. 49 + 16 (t - 1)
Step-by-step explanation:
Plug in t = 1 to test for the first hour:
[tex]49+16(1-1)=49+16(0)=49[/tex]
Test as many values as you like, but testing t = 5:
[tex]49+16(5-1)=49+16(4)=49+64=113[/tex]
You can see that plugging in just a few values confirms the answer.
