Answer:
m=16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3/4*m-3-(9)=0
Step 1: Simplify 3/4
Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0
Step2: Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
3 3 • 4
3 = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3m - (3 • 4) 3m - 12
—————4——————— = ———4————
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
3•(m-16)
———————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
3 • (m-16) = 0
6.2 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : m-16 = 0
Add 16 to both sides of the equation :
m = 16
At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine is known to have 99 green balls and 78 red balls. After each draw, the color of the ball is noted and the ball is put back for the next draw. You win a prize if more than 61% of the draws result in a green ball. a. Calculate the probability of getting more than 61% green balls.
Answer:
0.0869 = 8.69% probability of getting more than 61% green balls.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The machine is known to have 99 green balls and 78 red balls.
This means that [tex]p = \frac{99}{99+78} = 0.5593[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.5593[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373[/tex]
a. Calculate the probability of getting more than 61% green balls.
This is 1 subtracted by the pvalue of Z when X = 0.61. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.61 - 0.5593}{0.0373}[/tex]
[tex]Z = 1.36[/tex]
[tex]Z = 1.36[/tex] has a pvalue of 0.9131
1 - 0.9131 = 0.0869
0.0869 = 8.69% probability of getting more than 61% green balls.
What's the name of angle C thanks for the help :)
Answer:
Reflex angle
Step-by-step explanation:
Properties of reflex angles:
1). Any angle measuring between 180° and 360°.
2). Other side of the reflex angle is either acute or obtuse angle.
By these properties,
Since, angle C measures more than 180° but less than 360° and opposite angle is an acute angle.
By these properties angle C and angle D are the reflex angles.
What is the value of a?
2 2/5 x 3/4
plz help me! and plz show your work.
Answer:1.8
Step-by-step explanation:
Questão 11 - Um investidor aplicou
a quantia de R$ 500,00 em um fundo
de investimento que opera no regime
de juros simples. Após 6 meses o
investidor verificou que o montante
era de R$ 560,00. Qual a taxa de
juros desse fundo de investimento?
Answer:
A taxa de juros desse fundo de investimento é de 24% ao ano.
Step-by-step explanation:
Esta é uma questão que envolve juros simples.
A quantidade de juros acumulados depois de t anos é dado por:
[tex]J = P*r*t[/tex]
Em que P é o investimento inicial, r é a taxa de juros, é t é o tempo, em anos.
O montante é dado por:
[tex]M = J + P[/tex]
Um investidor aplicou a quantia de R$ 500,00.
Isso significa que [tex]P = 500[/tex]
Juros acumulados:
Montante era de R$ 560,00, o que significa que [tex]M = 560[/tex]
Então, a quantidade de juros acumulados é dada por:
[tex]M = J + P[/tex]
[tex]J = M - P = 560 - 500 = 60[/tex]
Taxa de Juros:
6 meses é meio ano, o que implica que [tex]t = 0.5[/tex]
Então
[tex]J = P*r*t[/tex]
[tex]60 = 500*r*0.5[/tex]
[tex]250r = 60[/tex]
[tex]r = \frac{60}{250}[/tex]
[tex]r = 0.24[/tex]
A taxa de juros desse fundo de investimento é de 24% ao ano.
Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 x2 + 1 x2 − 1 x − 4 x + 4
First off, remember that finding the x-intercepts means setting y equal to zero and solving for the x-values, so this question is really asking you to "Solve 4x2 – 2x – 5 = 0".
Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the function equal to zero
Answer:
D . x + 4Step-by-step explanation:
(x² + 6x + 8) / (x + 2) =(x² + 2x + 4x + 8) / (x + 2) = (x + 2)(x + 4) / (x + 2) = x + 4Correct choice is D
For f(x) = 5x+1 find f(-4)
0 1
0-21
21
0 -19
Answer:
21 you is smart 8th
Step-by-step explanation:
smart smart 99
Pls help!! I’ve been trining to get the answer but I can’t pls help!!
Answer:
$5740
Step-by-step explanation:
get 2.5% of 5600
5600/x=100/2.5
(5600/x)*x=(100/2.5)*x
5600=40*x
5600/40=x
140=x
x=140 <----- 2.5% of 5600
5600 + 140 = $5740
Match each fraction on the left with the corresponding percent on the right. Some options on the right will be used more than
once.
Answer:
no picture
Step-by-step explanation:
does a/9=25 i dont know
Answer:
225
Step-by-step explanation:
225 ÷ 9 =25
Please answer quick just super small explanation pls hurry quick for brainlessly answer
Determine if the triangles are similar. If they are similar state why they are similar and
complete the similarity statement. If the triangles are not similar, select "N/A" for the last
two dropdowns.
R
Q
11
14
U
V
22
28
S
[ Select)
The triangles are
vby
[ Select]
.Δ
SUV-A [Select]
The price of a carton of eggs at Supermarket A is $2.10. The price of a carton of eggs at Supermarket Bis 40% less than the price at Supermarket A
What is the price of a carton of eggs at Supermarket B?
giving brainliest!!!
Answer:
133 square centimeters
Step-by-step explanation:
Answer:
Surface A≈146.25 square centimeters
Step-by-step explanation:
What is 0.9 divide by 2.647
Answer:
0.340007556
Step-by-step explanation:
its correct
According to the guideline from the Health Department, every over-weight child needs to take a fitness test.
Every ten over-weight children would be randomly grouped together to attend the fitness test. According to
the past experience, the probability for each child to pass the fitness test is 0.75 and whether a child can pass
the test is independent with the test result of other children.
(a) Many test sessions will be conducted regularly, each with 10 independent children. Find the expectation
and standard deviation of the number of children can pass the fitness test in a test session.
(b) Most likely, how many children can pass the fitness test in a test session? Justify your answer by
comparing the two outcomes with the relatively high probability.
(c) Find the probability that less than 8 children can pass the fitness test in one test session.
Answer:
According to the guideline from the Health Department, every over-weight child needs to take a fitness test.
Every ten over-weight children would be randomly grouped together to attend the fitness test. According to
the past experience
Step-by-step explanation:
The Graph below shows a system of equations.
the x coordinate of the solution to the system of equations is ?
Answer:
3
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the graphs of the equations.
The solution is point (3, 2).
An ordered pair is of the form (x, y). The x-coordinate of point (3, 2) is 3.
Answer: 3
please help me if you know the answer
Hye guys I need some heeeeeeeelp lol
What is the value of x
15x + 1=46
Help plz
I will give brainliest
Answer:
3
Step-by-step explanation:
Answer:
The answer to this question is X=3
Step-by-step explanation:
15x3=45
45+1=46
Hope my answer helps you!!!
2. Karen sells newspaper subscriptions. She earns $12 for each daily subscription and $4 for each Sunday- only subscription. How much will she earn if she sells 24 daily and 13 Sunday-only subscriptions in a week?
Your Answer;
❀♡ 12 x 24 + 4 x 13 = 340 ♡❀
Answer:
340
Step-by-step explanation:
Help pls!!!! Pls explain how you got the answer if you can!!! Have a blessed day
Also if you don’t know the exact answer answer and comments. And pls don’t waste my points this assignment is very important
Step-by-step explanation:
for perimeter you just add up all of the sides so :
(x+4) +( 2x)+(4x-2)+(3x-1) = 10x +1
find the selling price if the cost price is rupees 600 and profit is 13%
Answer:
=2277 Ans.
Step-by-step explanation:
Find the selling price
(a) Cost =600
Profit=13%
Selling price =Cost + profit
=600+
100
600×13
=600+78
=678 Ans.
(b) Cost=2475, loss=8%
Selling price = Cost+ profit/loss
=2475+(−
100
2475×3
)
=2475−198
=2277 Ans.
what is -4 * 7/10. please hlp!
Answer:
-4 * 7/10 = -2.8
What is the inverse function
Answer:
it's simple just divide
ONLY answer if you know! Which of the following will have a negative result? (1 point)
O-8-(-10)
O 12-14
07-(-3)
Find the area of the shape below.
Give your answer in terms of pi
6cm
8cm
32cm
The diagram is not drawn to scale.
9514 1404 393
Answer:
164π cm²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
The radius (r) is half the diameter (d), so the area of a semicircle in terms of its diameter is ...
1/2A = (1/2)(π)(d/2)² = (π/8)d²
The given shape is the combination of three (3) semicircles. The smallest has a diameter of 6 cm; the middle-sized one has a diameter of (32 cm -6 cm -8 cm) = 18 cm. The largest has a diameter of 32 cm.
The total area will be ...
area of largest + area of middle-size - area of smallest
= (π/8)(32² +18² -6²) = (π/8)(1312) . . . . cm²
The area of the shape is 164π cm².
An amoeba divides to form two amoebas after one hour. One hour later, each of the two
amoebas divides to form two more. Every hour, each amoeba divides to form two more.
1. How many amoebas are there after 1 hour?
2. How many amoebas are there after 2 hours?
3. Write an expression for the number of amoebas after 6 hours.
Answer: 2 1 4
Step-by-step explanation: cant say.
Find the difference 7/9 - 5/13 in lowest term
Answer:
46/117
Step-by-step explanation:
Answer:
46/117
Step-by-step explanation:
this is a type of fraction which can not be simplified
2√63
Simplify
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