The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
Let's say that number is x
Then,
2/3 of x = (2/3)x
Son,
1 more then (2/3)x = (2/3)x + 1
It is the same as x - 3
So,
(2/3)x + 1 = x - 3
x = 12
Hence "The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12".
For more about fractions,
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Question 1
If mZHOE =19° and mZHOP=48°, find mZEOP.
H
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Р
Answer:
mEOP is 29°
Step-by-step explanation:
mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°
- 19-48=29
HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)
Answer:
[tex]\frac{x2}{a} - \frac{y2}{b2} = 1[/tex]
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
[tex]\frac{X2}{16} - \frac{b}{4} = 1[/tex]
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
I don't feel like explaining so...
a. = 4
The foci c is at +/-2√5, using c² = a² + b²:
B = 2
Substituting the value of a and b to get the equation of the hyperbola:
[tex]\frac{x2}{a2} - \frac{y2}{b2} = 1[/tex]
[tex]\frac{x2}{16} - \frac{b2}{4} = 1[/tex]
10.6.23
Question Help
Becky would like to be a millionaire in 40 years. How much would she need to invest quarterly in a sinking
fund paying a 3% interest rate compounded quarterly to accumulate $1,000,000 in 40 years?
I = $ 1,200,000.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 1000000 × 0.03 × 40 = 1200000
I = $ 1,200,000.00
The simple interest accumulated
on a principal of $ 1,000,000.00
at a rate of 3% per year
for 40 years is $ 1,200,000.00.
Is this graph standard, vertex, or intercept?
Step-by-step explanation:
It's an intercept graph
Garcia bought 3 packs of red notebooks, 5 packs of yellow notebooks, and 8 packs of green notepads. There were 3 notepads in each package. How many notepads in all?
What is the expression?
The answer is 48 notepads.
What is 6/22 as percent?
Answer:
27%
Step-by-step explanation:
divide 6 by 22. you get .27 and then you move the decimal point to the right twice
Answer:
27%
Step-by-step explanation:
six divided by twenty two is 0.272, which is 27%
A recent study at Winthrop University was done to determine the ratio of democrats to republicans. Use the information in each problem to come up with an appropriate sample size to accurately estimate the mean. Let a republican represent a success r. If no preliminary sample is taken, how large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?
Answer:
A sample of 752 should be taken.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
No preliminary sample is taken
This means that [tex]\pi = 0.5[/tex]
How large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645*0.5[/tex]
[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]
[tex]n = 751.7[/tex]
Rounding up:
A sample of 752 should be taken.
Espanol
At the movie theatre, child admission is $5.70 and adult admission is $9.40. On Sunday, 135 tickets were sold for a total sales of S1080.30. How many adult
tickets were sold that day?
9514 1404 393
Answer:
84 adult tickets
Step-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then (135-a) is the number of child tickets sold, and total revenue is ...
5.70(135 -a) +9.40(a) = 1080.30
3.70a = 310.80 . . . . . . . . subtract 769.50 and simplify
a = 310.80/3.70 = 84
84 adult tickets were sold on Sunday.
What is the surface area of the rectangular prism?
5 ft
5 ft
8 ft
Item 22
The distance between Cleo's home and work is 9 kilometers. She travels between home and work 36 times each month.
How many kilometers does Cleo travel between home and work each month?
Answer:
324 kilometres
What I did was do 36x10 which is 360
Then I did 360-36=24 because the question wants 9x36 not 10x36
Help me with my geometry homework
Answer:
10.5 is the answer
Step-by-step explanation:
i hope it helps u
Answer:
is the answer y=7? if correct its ok but if the answer didn't match then plesse let me know
Three coins are flipped. What is the probability that all three coins will match?
Answer:
25%
Step-by-step explanation:
We can also show this from the results table below: There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.
1=2
2=8
3=18
4=32
5=?
Classify the following triangle. Check all that apply.
Answer:
This triangle is a right triangle
What is the probability that a standard number cube will show a two, five, or six when it is rolled?
Answer:
[tex]p=0.5[/tex]
Step-by-step explanation:
A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50
Express the area of the entire rectangle.
Your answer should be a polynomial in standard
form. X+9 top x+2
Pls help i will mark the brainliest!
Explanation:
The blue rectangle is x*x = x^2 in areaThe pink rectangle has area of x*9 or 9xThe green rectangle has area 2*x or 2xThe orange rectangle has area 2*9 = 18Add up those areas to get the final answer
x^2+9x+2x+18 = x^2+11x+18
note the like terms 9x and 2x combine to 11x
onnie measures an object's mass in kilograms.
Which of the following objects is he most likely measuring?
A.
An apple
B.
A bicycle
C.
A paper clip
D.
A pencil
Answer:
a bicycle
Step-by-step explanation:
Answer:
B. A bicycle
Step-by-step explanation:
B. A bicycle
All the others would most likely be in grams
Daniel and Joe watched a beetle and a spider on the sidewalk. The beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. How much farther did the beetle crawl than the spider?
Answer: 3/8 yard
Step-by-step explanation:
Since the beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. To calculate how much farther the beetle crawl than the spider, we will have to subtract 1/8 from 1/2. This will be:
= 1/2 - 1/8
= 4/8 - 1/8
= 3/8 yard
Therefore, the beetle covered 3/8 yard more.
Which of the following graphs can be used to find the solution to x2 – 4x + 3 = 0?
Answer:
D
Step-by-step explanation:
it would be d because that's where the 3 is in the y axis
Answer:
A
Step-by-step explanation:
Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.
Solve for x:
х/2 = 8
O A) X= 17
OB) x = 18
OC) x = 16
OD) x = 12
Hi there!
»»————- ★ ————-««
I believe your answer is:
C) x = 16
»»————- ★ ————-««
Here’s why:
We will use inverse operations to solve for 'x'.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\\frac{x}{2}=8\\-------\\\rightarrow{\frac{x}{2}=8}\\\\\rightarrow(\frac{x}{2}})*2=8*2\\\\\rightarrow\boxed{x=16}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 16
Step-by-step explanation:
х/2 = 8
Multiply each side by 2
x/2*2 = 8*2
x = 16
does anyone know how to solve this
Step-by-step explanation:
7 + 2x + 3 = x + 10
2x - x = 10 - 7 - 3
x = 0
What?
I don't think this helps...
Answer:
x = 0.
Step-by-step explanation:
The distance between the point U and W are x + 10 and 2x + 3 + 7 so we can make the following equation:
x + 10 = 2x + 3 + 7
x + 10 = 2x + 10
Subtract 10 from both sides:
x = 2x
Subtract x from both sides:
0 = x
x = 0
What is the factored form of x2 − 4x − 5? (x + 5)(x − 1) (x + 5)(x + 1) (x − 5)(x − 1) (x − 5)(x + 1)
Determine the location and absolute maximum and absolute minimum for the given function f(x)=(_x+2)^4 where 0
Answer:
the minimum is 0 and the maximum is 16.
Step-by-step explanation:
For a function f(x), the maximum is defined as:
f(xₐ)
such that:
f(xₐ) ≥ f(x) for every value of x in the domain.
And the minimum is:
f(xₙ)
Such that:
f(xₙ) ≤ f(x)
for every value of x.
Now, in this case we have the function:
f(x) = (-x + 2)^4 in the range 0 < x < 3
First, let's analyze our function.
We can see that the exponent is even, then:
f(x) = (-x + 2)^4
Can be equal to zero or larger than zero.
Then the minimum will be f(x) = 0
To find this, we need to find the value of x such that:
-x +2 = 0
2 = x
Then the minimum is:
f(2) = (-2 + 2)^4 = 0
For the maximum, we can just play with the other values in the range and see which one gives the larger value of f(x).
Again, because f(x) = (-x + 2)^4 , the maximum will be at the value of x such that:
|-x + 2| is maximized.
As we have a negative sign multiplying x, the smaller value in the range:
x = 0
is the one that maximizes that:
|-0 + 2| = |2| = 2
Evaluating f(x) in x = 0 we get:
f(0) = (0 + 2)^4 = 16
Then the minimum is 0 and the maximum is 16.
if loga (n) = 16, find loga (sqrtt n)
Answer:
8
Step-by-step explanation:
by definition:
[tex]log_an=16\\\\log_a\sqrt{n}=log_a n^{\frac{1}{2}}=\frac{1}{2}log_a n=\frac{1}{2}(16)=8[/tex]
The terms central location or central tendency relate to the way quantitative data tend to cluster around some middle or central value.
a. True
b. False
Answer:
A: True
Step-by-step explanation:
It's true because central tendency is defined as a branch of descriptive statistics that shows the centre of the data distribution.
This central tendency could be mean, median or mode.
What is the value of h?
Answer:
35
All angles of a triangle = 180 degrees subtract 40 from 180 and you get 140
180-40=140 because the other angles are equal with the same equation to get them divide 140 by 2 140/2=70 then you have to get h alone so you divide by the other 2 in the equation 70/2=35 h=35
Answer:
55
Step-by-step explanation:
In triangle ABC (LET'S SAY TRIANGLE IS ABC)
Angle A=40
Angle B = Angle C = x (since 2h is beside B and C both)
40+x+x=180 (Angle sum property)
40+2x=180
2x=140
x=70
2h+70=180 (Angle in a straight line=180)
2h=110
h=55
you and your four friends go to the water park. it is $10 each for tickets, and y dollars for lunch.
a. use the distributive property to write and simplify an expression for the total the group pays.
b. how much does the group pay when the lunches cost $4?
Answer:
56 dollars
Step-by-step explanation:
idfk 56 dollars is the answer tho
At the market, he spends $5.58 on red potatoes and $4.68 on yellow potatoes. If each type of potato costs $0.90 per pound, how many total pounds of potatoes does he buy?
Answer:
11.4pounds
Step-by-step explanation:
(5.58+4.68)÷0.90
＝11.4(pounds)
Consider a different experiment: EXPERIMENT: A bag contains 3 red balls, 4 blue balls, 4 green balls and 3 yellow balls. One ball is drawn at random and then returned to the bag. Then a ball is drawn again, possibly the same one or a different one.
(a) Specify the sample space (set of outcomes) and probability distribution of the outcomes.
(b) What is the probability that both balls drawn were red balls?
(c) Starting over with all 14 balls back in the bag, what is the probability that both draws were balls of different colors?
Answer:
a) Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .
probability distribution of outcomes
= (3/14*3/14), (3/14*4/14), (3/14*4/14), (3/14*3/14), (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14), (4/14 * 3/14 ), ( 4/14 *4/14 ), (4/14*3/14), ( 4/14 *4/14 ),
(4/14*3/14), (3/14 *3/14 ), (3/14*3/14), (3/14 *4/14 ), ( 3/14 * 4/14 )
b) 0.0459
c) ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )
Step-by-step explanation:
Total number of balls = 3 + 4 + 4 + 3 = 14 balls
3 Red balls = 3/14
4 blue balls = 4/14
4 green balls = 4/14
3 yellow balls = 3/14
a) Determine the sample space and probability distribution of outcomes
since ball is drawn with replacement
Sample space = RR, RB, RG, RY, BB, BR, BG, BY, GG, GR, GB, GY, YY, YR, YB, YG .
i.e. The sample space has 16 possible combination
probability distribution of outcomes
= (3/14*3/14), (3/14*4/14), (3/14*4/14), (3/14*3/14), (4/14 *4/14 ), (4/14*3/14), (4/14 * 4/14), (4/14 * 3/14 ), ( 4/14 *4/14 ), (4/14*3/14), ( 4/14 *4/14 ),
(4/14*3/14), (3/14 *3/14 ), (3/14*3/14), (3/14 *4/14 ), ( 3/14 * 4/14 )
b) Determine P( R and R )
P ( R and R ) = 3/14 * 3/14
= 9/196 = 0.0459
C) Determine probability of drawing two different balls
P( R and B ) + P ( R and G ) + P ( R and Y ) + ------ P ( Y and G )
= ( 3/14 * 4/14 ) + ( 3/14 * 4/14 ) + ( 3/14 * 3/14 ) + ------ ( 3/14 * 4/14 )
Following is a portion of the regression output for an application relating maintenance expense (dollars per month) to usage (hours per week) for a particular brand of computer terminal. When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as
Answer:
Matched samples
Step-by-step explanation:
A matched sample is obtained when pairing of treatment values for each subject or observation is performed. This sample obtained from a matched pair is usually called dependent sample and is usually done when each subject in an experiment is subjected to two different treatments usually at different time or stage. Hence, matched samples are used in matching observations to tie different groups.
