The value of variable x in the equation is x = -3y + 5/ 2
How to solve an equation for a variable?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Therefore, the equation 2x + 3y = 5 can be solved for x as follows:
We have to make x the subject of the formula in the equation.
Subject of the formula is the variable which is expressed in terms of other variables involved in the formula.
Hence,
2x + 3y = 5
subtract 3y from both sides of the equation
2x + 3y = 5
2x + 3y - 3y = 5 - 3y
2x = 5 - 3y
divide both sides by 2
Therefore,
x = 5 - 3y / 2
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1. Sam rolls a fair dice and flips a fair
coin. What is the probability of
obtaining an odd number and a head?
Use a sample space diagram to help.
See below for an example.
Answer:
Mark brainliest pls
Step-by-step explanation:
People have given you correct answers but not explained why, perhaps because it seems so obvious.
One of Bayes laws of probability says that if two events e1 and e2 are independent (unrelated), then the probability of both happening together is the product of their individual probabilities.
The die and the coin are independent events. Each is a 50% chance (odd number on a die, heads on a coin). Thus the probability of both happening together is 50% * 50% = 25%.
The probability of obtaining an odd number and a head is 1/4.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Let A be Sam rolls a fair dice.
Sample space, s = { [tex]1,2,3,4,5,6[/tex] }
⇒ [tex]n(s)=6[/tex]
An event A is obtaining an odd number, e = { [tex]1,3,5[/tex] }
⇒ [tex]n(e)=3[/tex]
The probability of A is obtaining an odd number,
[tex]P(A)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(A)=\frac{3}{6}[/tex]
⇒ [tex]P(A)=\frac{1}{2}[/tex]
Now, let B be Sam flips a fair coin.
Sample space, s = { [tex]H,T[/tex] }
⇒ [tex]n(s)=2[/tex]
An event B is getting a head, e = { [tex]H[/tex] }
⇒ [tex]n(e)=1[/tex]
The probability of B is getting a head,
[tex]P(B)=\frac{1}{2}[/tex]
Both A and B are independent events.
Thus the probability of obtaining an odd number and a head is
[tex]P(e)= P(A)P(B)[/tex]
⇒ [tex]P(e)=(\frac{1}{2})( \frac{1}{2} )[/tex]
⇒ [tex]P(e)=\frac{1}{4}[/tex]
Hence we can conclude that the probability of obtaining an odd number and a head is 1/4.
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The sum of x and y is 280. If x + 8 is y, when will the value of x be the same for both equations?
Answer:
x = 136, y = 144
Step-by-step explanation:
x+y = 280
y = x +8
use substitution
x + x+8 = 280
2x = 272
x = 136
y= 136+8 = 144
Answer:
the answer is x=136
Step-by-step explanation:
x + y = 280
x + 8 = y (substitute this expression for y)
x + (x + 8) = 280
2x + 8 = 280
2x = 272 -> x = 136
to find y:
x + 8 = y
136 + 8 = y
144 = y
CHECK:
136 + 144 = 280
yes
You recently obtained a job with a sports analytics firm, and your first assignment is to write a report evaluating early evidence behind predictions for the 2019-20 NBA season. You will use your knowledge of hypothesis testing to assess the predictions. When conducting a hypothesis test for the population mean, you will not know the population standard deviation, so you will have to use the sample standard deviation instead. How will this affect the process
Answer:
It will affect the process in the sense that the sample population size will be unknown due to the fact that we don't know the population standard deviation.
Step-by-step explanation:
We are told that you do not know the population standard deviation. Thus, the sample population will not be able to be calculated because this sample standard deviation given will not suffice and we need the population standard deviation to be able to calculate the sample population size.
The absence of population standard deviation will result in performing the one mean t test. The one mean t test gives an insight of the deviation of values from the mean.
For the approval or rejection of the null hypothesis, hypothesis testing has been performed. For performing a test, a hypothesis has been assigned based on the results we wish to obtain. The rejection of null hypothesis leads to acception of the alternate hypothesis, while the approval of the null hypothesis results in the rejection of the alternate hypothesis.
For performing the null hypothesis test, there has been the first step to be the requirement of the hypothesis. The hypothesis has been tested based on the population size. And the test has been performed.
The absence of population standard deviation will result in performing the one mean t test.
The one mean t test gives an insight of the deviation of values from the mean. It has been used for the determination of random data sample, normal distribution, range of sampling.
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at time t, the position of a body moving along the s-axis is s=t^3 - 12t^2 + 36t m. Find the total distance traveled by the body from t=0 to t=3.
Answer:
27 m
Step-by-step explanation:
The position of a body is given by :
[tex]s=t^3 - 12t^2 + 36t[/tex]
We need to find the total distance traveled by the body from t=0 to t=3.
At t = 0,
[tex]s=0^3 - 12(0)^2 + 36(0)=0\ m[/tex]
At t = 3 s,
[tex]s=(3)^3 - 12(3)^2 + 36(3)\\\\=27\ m[/tex]
So, the total distance from t=0 to t=3 is equal to 27 m.
An ant population began with 30 ants. From this point, the population
continuously increased by 4% each hour. Based on this model, how many
hours will it take the population to reach 100 ants?
Answer:about 5.3
Step-by-step explanation:
Find the measurement of the angle labeled X
PLEASE IM REALLY BAD AT THESE QUICK!!!!!!!!!!!!!
Answer:
b.
42+x+90+8=180° linear pair
x=180-140=40°
x=40°
c.
10+x+90+3x=180 linear pair
4x=180-100
x=80/4=20
x=20°
What is the volume of the prism, in cubic centimeters?
Answer:
Uhhhhhh, nothing?
Step-by-step explanation:
wiil give crown if right Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?
Answer:
42.3
Step-by-step explanation:
Turn 30% into decimal=0.30 then add both numbers=42.3
Hope it's correct if not sorry, but you can mark other person brainliest now! :)
A rectangular prism has a volume of 72 cubic units. How many unit cubes will fill the rectangular prism exactly?
a.12 unit cubes
b.36 unit cubes
c.24 unit cubes
d.72 unit cubes
16
Which one of the following
sets of three lengths will form
a triangle
A. 3, 4, and a
B. 3, 5, and a
C. 3, 6, and a
D. 3, 7, and a
Answer:
A .........................
Answer and explain deeply thank you so much! I’ll mark brainliest
An airplane takes off at a speed S of 226 mph at an angle of 18° with the horizontal. Resolve the vector S into components.
Velocity=226mph
Angle made with horizontal= 18°
The vector components would be [tex] 226~sin18° \hat{j} + 226~cos18° \hat{i} [/tex]
The vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°
What is a Vector ?
An parameter that has both magnitude and direction is called a vector.
It is given that
Speed S = 226 mph
Angle = 18 degree with the horizontal
The vector component are
[tex]\rm v_x , v_y[/tex]
here these are x and y components of the vector
V is the magnitude = |v| = 226
The vector component is given by
cos [tex]\rm \theta[/tex] = [tex]\rm v_x[/tex] / |v|
[tex]\rm v_x[/tex] = 226 cos 18°
[tex]\rm v_y[/tex] = 226 sin 18°
Therefore the vector components of Speed is [tex]\rm v_x[/tex] = 226 cos 18° and [tex]\rm v_y[/tex] = 226 sin 18°
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Please please help!!!
Answer:
pretty sure its A
Step-by-step explanation:
Simplify the expression. 9√3(8√3+9√5)
Answer:
B
Step-by-step explanation:
first of all we have to multiply 9√3 for each members in the brackets. For do this we have to multiply number x number and roots x roots
(9x8) = 72
(√3)^2 = 3
72 x 3 = 216
9 x 9 = 81
√3 x √5 = √15
81√15
now we have to added up the two results
216 + 81√15
Jayden is filling his 290 gallon pool with a garden hose. The garden hose produces 29 gallons of water per hour. How long will it take for Jayden to fill up his pool?
Answer:
10 hours
Step-by-step explanation:
290 divided by 29 = 10
check to see if its correct 29 multiple by 10 is 290
The number N of bacteria present in a culture at time t (in hours) obeys the equation N = 1000e^0.01t After how many hours will the population equal 1500? 2000?
Answer: N(t) = (2^t)*1500
Step-by-step explanation:
Let's define the hour "zero" as the initial population.
So if N(t) is the number of bacteria after t hours, then:
N(0) = 1500.
Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1
N(1) = 2*1500 = 3000
after two hours, at t = 2.
N(2) = 2*(2*1500) = (2^2)*1500
After three hours, at t = 3
N(3) = 2*(2^2)*1500 = (2^3)*1500
So we already can see the pattern, the number of bacteria after t hours will be:
N(t) = (2^t)*1500
If y = 2/3x^2– 5x, what is the
value of x = 6
Please
Answer:
y=-29.98
Step-by-step explanation:
y=2/3(6)^2-5(6)
y=2/108-30
y=1/54-30
54y=1-1620
y=-1619/54
y=-29.98
I need help with my math assignment please
Answer:
angles 1 and 6
Step-by-step explanation:
Answer:
C. angle 2 and angle 7
Step-by-step explanation:
hope this helps, have a nice day :)
Solve the following equation: *
Answer:
Step-by-step explanation:
x/3 + 6 = 17
Bringing like terms on one side
x/3 = 17 - 6
x/3 = 11
Dividing by 3 on both sides
x = 11/3
Hey can you help me with my math assignment
Answer:
Value of x = 87°
Step-by-step explanation:
Given:
∠1 = 102°
∠2 = x + 15°
Find:
Value of x
Computation:
We know that, given two lines are parallel and third line interest that
So,
Corresponding angles are equal
So,
∠1 = ∠2
x + 15 = 102
x = 87
Value of x = 87°
Is the graph increasing, decreasing, or constant?
O A. Constant
B. Decreasing
C. Increasing
Answer:
Decreasing because the line is going down meaning it is decreae
HELP ASAP!! I will give brainlist!! THANK YOU!
Answer:
dont trust me but i think its subtraction or division
Step-by-step explanation:
Please solve this problem.
Btw I don’t need an explanation I just need an answer
Answer:
F
Step-by-step explanation:
Answer
H 75 + Q > or = 120
125% of ___ is 25
what is the blank
Answer:
20
Step-by-step explanation:
I think it’s 20... my math brain is not cooperating with me much right now
Identify the constants in the expression: 7-5x+1?For 6th grade.
Answer:
The constants are 7 and 1
Step-by-step explanation:
please help asap ! no scam links or scam comments for points or reported.
Answer:
C
Step-by-step explanation:
it is -25x X= each time he goes rock climbing
Please answer soon
(2x+5)37 what is x
Answer:
74 x + 185
Step-by-step explanation:
Step-by-step explanation:
(2x+5)+37 - multiply 37 by 2x and then 37 by 5
which gives you a answer of 74x+185
Can someone help me please!
9514 1404 393
Answer:
B, C, E
Step-by-step explanation:
Distributing the minus sign in the given expression results in ...
6x +1 -3x -(-1)
6x +1 -3 +1 . . . . simplify
The two expressions that show the constant terms as +1 - 1 are erroneous. The two constant terms are +1 -(-1) or +1 +1.
The correct expressions are the 2nd, 3rd, and 5th ones (b, c, e).
-29= x + 8
what is x
Answer:
x=-37 (the answer should have a negative sign.)Step-by-step explanation:
To solve this problem, isolate the value of x from one side of the equation.
First, switch sides.
-29=x+8
x+8=-29
Then, subtract by 8 from both sides.
x+8-8=-29-8
Solve.
-29-8=-37
x=-37
Therefore, the final answer is x=-37.
Kianna started her homework at 4:30 pm. She finished at 5:05 pm. How many SECONDS did it take her to finish her homework? *
1 point
Answer:
2100 second
Step-by-step explanation:
4:30 pm to minutes
4 × 60 + 30 = 240 + 30
= 270 minutes
5:05 to minutes
5 × 60 + 5 = 300 + 5
= 305
4:30 to 5:05
305 - 270
= 35 minutes
35 minutes to second
35 × 60
= 2100 second
Answer:
2100
Step-by-step explanation:
25 minutes you need to know that 60 sec =1 hour.35x60=2100