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▹ Answer
(-39/35, 9/7)
▹ Step-by-Step Explanation
5y + 2y = 9
-5x - 2y = 3
Solve the equation:
y = 9/7
-5x - 2y = 3
Substitute the value of y:
-5x - 2 * 9/7 = 3
x = -39/35
(x, y) = (-39/35, 9/7)
Hope this helps!
CloutAnswers ❁
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To solve this system by addition, we start by adding both of our equations together but notice that the x terms and the y terms cancel out.
This leaves us with 0 on the left side and on the right side,
9 + 13 = 12 so we are left with the equation 0 = 12.
Since 0 = 12 is a false statement, this means that
there is no solution to our system of equations.
The coffee cups can hold 7/9 of a pint of liquid. If Emily pours 2/3 of a pint of coffee into a cup,how much milk can a customer add? PLZ HELP!
Answer:
1/9
Step-by-step explanation:
easy 2/3 is equivalent to 6/9. So there is 1/9 of a pint left
At a certain charity fundraiser, some guests will be randomly selected to receive a gift. The probability of receiving a gift is 3/25. Find the odds in favor of receiving a gift. I got 3/28. A child has a box of candies which might have a toy inside. The odds against the box having a toy are 7/2. What is the probability of the box having a toy? I got 7/9. Are my answers correct?
Answer:
a) Your answer for part a (I got 3/28) is wrong.
Odds are always expressed as ratios after calculating. Therefore, the odds in favour of receiving a gift = 3:22
b) Your answer in part b(I got 7/9) is correct.
The probability of the box having a toy is 7/9.
Step-by-step explanation:
The question above has to do with odds and probability.
It is important to note that odds are expressed in the form of ratios while probabilities are expressed as fractions.
a) At a certain charity fundraiser, some guests will be randomly selected to receive a gift. The probability of receiving a gift is 3/25. Find the odds in favor of receiving a gift.(I got 3/28)
The formula for calculating odds from probability is Odds = Probability / (1 - Probability).
Probability = 3/25
Odds =(3/25)/(1 - 3/25)
= (3/25)/22/25
= 3/25 ÷ 22/25
= 3/25 × 25/22
= 3/22
Note that odds are always expressed as ratios.
Therefore, the odds in favour of receiving a gift = 3:22
Your answer for part a (I got 3/28) is wrong.
The correct answer is 3:22
b) A child has a box of candies which might have a toy inside. The odds against the box having a toy are 7/2. What is the probability of the box having a toy? I got 7/9.
The formula for calculating probability from odds is P = Odds / (Odds + 1).
Odds = 7/2 or 7:2
We convert the odds to fraction when calculating
Probability = Odds / (Odds + 1).
Probability = (7/2)/ (7/2 + 1)
Probability = (7/2)/9/2
Probability = 7/2 ÷ 9/2
= 7/2 × 2/9
= 7/9
Probability is always expressed as a fraction.
Therefore, the probability of the box having a toy is 7/9.
Your answer in part b(I got 7/9) is correct.
a rectangular plot has 17m length and 14m width. What will be the cost of fencing at a rate of Rs.25 per meter
The fence would be the perimeter of the shape.
Perimeter = 17 + 17 + 14 + 14 = 62 meters.
Multiply the price per meter by total meters:
25 x 62 = 1550
For fencing , we have to find the perimeter of rectangle.
[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{Formula \: \: Using \: = \: 2 \: ( \: L + B \: )}}}}}\end{gathered}[/tex]
L denotes length of rectangleB denotes breadth of rectangleL = 17 mB = 14 mSubstuting the valuesPerimeter of rectangle = 2 ( L + B )
Perimeter of rectangle = 2 ( 17 m + 14 m )
Perimeter of rectangle = 2 ( 31 m )
Perimeter of rectangle = 62 m.
Hence, the perimeter of rectangle is 62 m.
For Fencing Cost = perimeter × rate of fencing per metre
Fencing Cost = 62 × 25
Fencing cost = 1,550
Hence, the cost of fencing of a rectangular plot is 1,550
The base of a triangle is 4 cm greater than the
height. The area is 30 cm. Find the height and
the length of the base
h
The height of the triangle is
The base of the triangle is
Answer:
Step-by-step explanation:
Formula for area of a triangle:
Height x Base /2
Base (b) = h +4
Height = h
h + 4 x h /2 = 30cm
=> h +4 x h = 60
=> h+4h =60
=> 5h = 60
=> h = 12
Height = 12
Base = 12 +4 = 16
will rate you brainliest
Answer:
A
Step-by-step explanation:
f(x)→g(x)
(0, 0) → (3, -4)
Therefore it increases it x-axis from 0 to 3
And decreases in y-axis from 0 to -4
What is the three hundred and twenty six to the nearest ten
Hi there!
»»————- ★ ————-««
I believe your answer is:
330
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We are rounding the number 326 to the nearest tens.
The '2' is in the tens place, and the '6' is to the right of the digit.
Since the '6' is greater than or equal to 5, then we would round up.
326 ≈ 330
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
In the xy -plane above, point C has coordinates (6,9).
Which of the following is an equation of the line that
contains points O and C
Find the minimum sample size n needed to estimate for the given values of c, , and E. c, , and E Assume that a preliminary sample has at least 30 members.
Answer:
hello your question is incomplete below is the complete question
Find the minimum sample size n needed to estimate μ For the given values of c, σ, and E. c=0.98, σ=6.5, and E=22 Assume that a preliminary sample has at least 30 members.
Answer : 48
Step-by-step explanation:
Given data:
E = 2.2,
std ( σ ) = 6.5
c ( level of confidence ) = 0.98
To find the minimum sample size
we have to first obtain the value of [tex]Z_{a/2}[/tex]
note : a can be found using this relation :
( 1 - a ) = 0.98 ----- equation 1
a = 1 - 0.98 = 0.02
hence: a/2 = 0.01
This means that P( Z ≤ z ) = 0.99 the value of z can be found using the table of standard normal distribution. from the table the value of z = 2.33
P( Z ≤ 2.33 ) = 0.99
To obtain the sample size n
[tex]n = (\frac{std*z}{E} )^{2}[/tex]
n = [tex](\frac{6.5*2.33}{2.2} )^2[/tex] = (6.88409)^2
Therefore n ≈ 48
ANSWER ASAP CORRECT ANSWER WILL GET BRAINLIEST PLUS 78 POINTS
9514 1404 393
Answer:
C) 462
Step-by-step explanation:
The presenters can be chosen 11C6 = 462 different ways.
__
If the teacher were concerned about the order of the presentations, the number of possibilities goes up to 11P6 = 332,640 different ways.
On the maturity date of a $10,800, 6-month, 8% note, the borrower sends a check that includes the principal and all of the interest due on the note. What is the amount of the borrower's check?
Answer: $ 11,232.00
Step-by-step explanation:
Given: Amount = $ 10,800
Interest Rate = 8% =0.08
Time in Months= 6.00
Formula :
Interest on Note = (Amount)× (Interest Rate) × ((Time in Months) /12)
= (10800)× (0.08)× (6/12)
= $432
The amount of the borrower's check =(Amount + Interest on Note)
= $ (10,800+432)
= $ 11,232.00
Hence, The amount of the borrower's check = $ 11,232.00
These figures are similar. The area of one is given. Find the area of the other. PLZ HELP
Answer: 6
Step-by-step explanation:
A bus averages 2 miles per hour faster than a motorcycle. If the bus travels 165 miles in the same time it takes the motorcycle to travel 155 miles, then what is the speed of each?
Answer:
The bus travels at 33 miles per hour while the motorcycle travels at 31 miles per hour
Step-by-step explanation:
Represent the bus average speed with x and the motorcycle average speed with y
Given
[tex]x = y + 2[/tex]
Distance covered by bus = 165 miles
Distance covered by motorcycle in same time = 155 miles
Required
Determine the speed of each
Average Speed is calculated as;
[tex]Average\ Speed = \frac{Distance}{Time}[/tex]
Since the two are measured with the same time, represent time with T
For the bus
[tex]Average\ Speed = \frac{Distance}{Time}[/tex] becomes
[tex]x = \frac{165}{T}[/tex]
Make T the subject of formula
[tex]T = \frac{165}{x}[/tex]
For the motorcycle
[tex]y = \frac{155}{T}[/tex]
Make T the subject of formula
[tex]T = \frac{155}{y}[/tex]
Since, T = T; we have that
[tex]\frac{165}{x} = \frac{155}{y}[/tex]
Cross Multiply
[tex]165y = 155x[/tex]
Substitute [tex]x = y + 2[/tex]
[tex]165y = 155(y+2)[/tex]
Open Bracket
[tex]165y = 155y - 310[/tex]
Collect Like Terms
[tex]165y - 155y = 310[/tex]
[tex]10y = 310[/tex]
Divide both sides by 10
[tex]y = 31[/tex]
Recall that [tex]x = y + 2[/tex]
[tex]x = 31 +2[/tex]
[tex]x = 33[/tex]
Hence;
The bus travels at 33 miles per hour while the motorcycle travels at 31 miles per hour
In the game plan for model building on your multiple regression project, which of the following is true about the test that determines whether the interaction term(s) is/are significant in predicting y?
A. It will definitely be a t-test
B. It will either be a t-test or a best subset for partial) F-test depending on whether we kept or dropped the quadratic terms
C. It will definitely be a partial F-test
D. It will definitely be a global
Answer:
A. It will definitely be a t-test
Step-by-step explanation:
T-test is a type of inferential statistic test which used to determine whether there is a significant difference between mean of two group sets or variables.The t-test technique is widely used in hypothesis testing in statistics. When the model building for game play is determine through regression analysis, it will require t-test to be conducted to reach a conclusion.
idk how to put the picture but can someone just tell me the points where the two dots go plz will give good rate nd say thx plz answer fast
Graph -8x-y=8
Answer:
(-1,0) and (0,-8)
Step-by-step explanation:
Hey there!
Well first we’ll graph -8x - y = 8,
Look at the image below
By lookig at the image below we can tell the 2 points are at,
(-1,0) and (0,-8)
Hope this helps :)
i will give brainliest and 5 stars if you help ASAP
Answer:
BC = 13.4
Step-by-step explanation:
its a law of cosines S-A-S
a² = b² + c² - 2bc cosA
a² = 12.6² + 4.6² - ( 2 * 12.6 * 4.6 * cos 90 )
a² = 179.92
a = sqrt (179.92)
a = 13.4
How many months does it take for $700 to double at simple interest of 14%?
• It will take
number.
months to double $700, at simple interest of 14%.
Use the points to describe the data and determine the line of best fit.
What type of correlation do the data points represent?
What is the equation that best represents the data?
Answer:
Answer: negative
Y= -500x + 4,500
Step-by-step explanation:
Answer:
C. negative
B. Y= -500x + 4,500
I just did it
What is the average selling price
118,450
126,500
128,000
130,425
135,950
Answer:
A
Step-by-step explanat
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
716.75 m^3
Step-by-step explanation:
Volume of a cylinder:
=> PI x R^2 x H
H = Height
R = Radius
=> PI x 3.9^2 x 15
=> PI x 15.21 x 15
=> PI x 228.15
=> 228.15 PI
or
=> 228.15 x 3.14159
=> 716.75 m^3
What is nine thousandths as a decimal
Answer:
Nine thousandths = 0.009
Step-by-step explanation:
thousandths = 1/1000 = 0.001
nine thousandths = 9/1000 = 0.009
Answer:
.009
Step-by-step explanation:
9 thousandths as a decimal is 9/1000. Which is the same 0.009
Kane's Furniture Store advertised a table at 9% discount. The original selling price was $109, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Answer:
No, the sale price wasn't consistent with the ad
Step-by-step explanation:
The original selling price is 109. 9% of 109 is 9.81. So the sale price should be 99.19.
M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows. Color Purple Yellow Red Orange Green Blue Brown Percentage 22% 20% 23% 10% 6% 6% 13% Suppose you have a large bag of plain M&M candies and you choose one candy at random. (a) Find P(green candy or blue candy). Are these outcomes mutually exclusive? Why? Yes. Choosing a green and blue M&M is possible. Yes. Choosing a green and blue M&M is not possible. No. Choosing a green and blue M&M is not possible. No. Choosing a green and blue M&M is possible. (b) Find P(yellow candy or red candy). Are these outcomes mutually exclusive? Why? Yes. Choosing a yellow and red M&M is possible. No. Choosing a yellow and red M&M is not possible. Yes. Choosing a yellow and red M&M is not possible. No. Choosing a yellow and red M&M is possible. (c) Find P(not purple candy).
Answer:
A) 0.12. Yes. Choosing a green and blue M&M is possible
B) 0.43. Yes. Choosing a yellow and red M&M is possible
C) 0.78
Step-by-step explanation:
First of all, the summation of the distribution of all colours is;
Σ(all colors ) = 22% + 20% + 23% + 10% + 6% + 6% + 13% = 100%, or 1.
Thus;
a) P(green candy or blue candy) is;
P(GREEN ∪ BLUE) = P(G) + P(BL)
P(GREEN ∪ BLUE) = 6%+6%
P(GREEN ∪ BLUE) = 12% or 0.12
Now, due to the fact that we have to choose ONE candy and only ONE candy at random, then they are mutually exclusive: Yes. Choosing a green and blue M&M is possible
b)P(yellow candy or red candy is;
P(YELLOW ∪ RED) = P(Y) + P(R)
P(YELLOW ∪ RED) = 20% + 23% = 43% or 0.43
Yes. Choosing a yellow and red M&M is possible
c) P(NOT PURPLE)
the probability of having a purple is;
P(PURPLE) = 22% or 0.22
So, the Probability of NOT having a PURPLE is 1 - 0.22 = 0.78
Write the equation in slope-intercept form, y = 4(x - 5) + 7x
Answer:
y = 11x - 20
Step-by-step explanation:
y = 4(x - 5) + 7x
y = 4x - 20 + 7x
y = 11x - 20
please help! 50 points!
Answer:
a) forming a bell
b) 5
c) 4.7
d) mean
is the correct answer
pls mark me as brainliest
Will mark Brainliest! A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than $1$ unit?
Answer:
0.16
Step-by-step explanation:
Length = 5 unitsNumber of broken sticks= 3Equal lengths = 5 units/3See the picture attached for reference.
As you see the best points are the green areas which covers 2 out of 5 zones.
Since it is same for both broken points, the probability of this is:
2/5*2/5 = 4/ 25 = 0.16Answer is 0.16
find the surface area of the prism HURRY
Answer:
does the answer help you?
help with number 1 please. Thank you.
Answer:
Hello,
Step-by-step explanation:
Q1:
[tex]\left\{\begin{array}{ccc}x&=&t+\dfrac{1}{t} \\\\y&=&t-\dfrac{1}{t} \\\end{array}\right.\\\\\left\{\begin{array}{ccc}x^2&=&t^2+\dfrac{1}{t^2} +2\\\\y^2&=&t^2+\dfrac{1}{t^2} -2\\\end{array}\right.\\\\\\x^2-y^2=4: \ equilater\ hyperbola.\\[/tex]
Q2:
1)
[tex]\left\{\begin{array}{ccc}x&=&2t^2} \\\\y&=&4t \\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}t&=&\dfrac{y}{4} \\\\x&=&2*(\dfrac{y}{4})^2 \\\end{array}\right.\\\\\\\boxed{x=\dfrac{y^2}{8}} :\ parabola\ with\ x-axis\ as\ axis\ of\ symmetry[/tex]
2)
[tex]y=\dfrac{25}{x} \\[/tex]
equilater hyperbola (centre (0,0))
A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were made. At the end of an 8 year period, the balance in the account was $13231.30. What was the dollar amount of the initial deposit? Round your answer to the nearest dollar. Do not include a dollar sign ($) or comma in your answer.
Answer:
[tex]\large \boxed{\$10000.00}[/tex]
Step-by-step explanation:
We can use the formula for continuously compounded interest.
[tex]\begin{array}{rcl}A & = & Pe^{rt}\\13231.30& = & Pe^{0.035 \times 8}\\& = &Pe^{0.28}\\& = & P\times 1.3231298\\P & = &\dfrac{13231.30}{1.3231298}\\\\&=&\mathbf{10000.00}\\\end{array}\\\text{The initial deposit was $\large \boxed{\mathbf{\$10000.00}}$}[/tex]
Scott start his banking account with 150 and is spending $7 per day on lunch . How would one describe the graph of this model?
Answer:
So this is giving us the slope the slope is y=-7x+150
Step-by-step explanation:
It is giving us the Y intercept which is $150 because thats how much he starts out with
It is giving us the slope -7 dollars because he is spending that everyday
please help me out! <3
Answer:
[tex]-1 \frac{3}{4}[/tex]
Step-by-step explanation:
Using this number line, we can plot our original number - [tex]\frac{3}{4}[/tex] (see picture attached)
Adding a negative is the same thing as subtracting - so we are subtracting [tex]2\frac{1}{2}[/tex] from [tex]\frac{3}{4}[/tex].
To subtract this, we can break up [tex]2\frac{1}{2}[/tex] into 3 parts: 1, 1, and [tex]\frac{1}{2}[/tex]. We can subtract each of these from the current number and see where we land up. (again see picture)
We land up at [tex]-1 \frac{3}{4}[/tex].
Hope this helped!