Answer:
[tex]\boxed{\bf \sf number : \ \frac{4}{5} }[/tex]
Explanation:
Let the number be n
According to students Condition:
[tex]\rightarrow \sf \dfrac{3}{2} \ x \ n \quad = \quad \dfrac{3n}{2}[/tex]
What He actually Did:
[tex]\rightarrow \sf n \div \dfrac{3}{2} \quad = \quad n \ x \ \dfrac{2}{3} \quad = \quad \dfrac{2n}{3}[/tex]
He got a smaller number by 2/3, so:
[tex]\rightarrow \sf \dfrac{3n}{2} - \dfrac{2n}{3} = \dfrac{2}{3}[/tex]
make the denominator's same
[tex]\rightarrow \sf \dfrac{3(3n)}{6} - \dfrac{2(2n)}{6} = \dfrac{2}{3}[/tex]
multiply the integers
[tex]\rightarrow \sf \dfrac{9n}{6} - \dfrac{4n}{6} = \dfrac{2}{3}[/tex]
Join the fractions
[tex]\rightarrow \sf \dfrac{9n-4n}{6} = \dfrac{2}{3}[/tex]
Subtract integers
[tex]\rightarrow \sf \dfrac{5n}{6} = \dfrac{2}{3}[/tex]
Cross multiply
[tex]\rightarrow \sf n = \dfrac{6 \ * \ 2}{5 \ * \ 3} \quad = \quad \dfrac{4}{5}[/tex]
Lets see
the number be x
The expression is
3x/2-2x/3=2/39x-4x)6=2/35x)6=2/315x=12x=12/15=4/5Select all the expressions equal to sin (30°). *
sin 2/3
cos 5m/3
tan π/6
sin 5/6
cos 60°
cos 11π/6
Solve: log (15x+10) = 2*
The trigonometric expression sin 30° will be equal to cos 60°. Then the correct option is E.
How to convert the sine of an angle to some angle of cosine?We can use the fact that:
sin(θ) = cos(90 - θ)
To convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).
The trigonometric expression sin 30° will be equal to
The sin 30° can be written as
sin 30° = cos(90° - 30)
sin 30° = cos 60°
Then the correct option is E.
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A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria
if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so
[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]
[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]
Please help ASAP
The internal measures of a cubiodal room are 12m x 8m x 4m. Find the total cost of whitewashing all four walls of a room. If the cost of whitewashing is ₹5 per m². what will be the cost of whitewashing if the ceiling of the room is also whitewashed.
Let the length of the room = L = 12m
width of the room = b = 8m
Height of the room = h = 4m
• Area of the four walls of the room = Perimeter of the base x Height of the room.
[tex] = 2(l + b) \times h = 2(12 + 8) \times 4[/tex]
[tex] = 2 \times 20 \times 4 = 160 {m}^{2} [/tex]
Cost of white washing per m² = ₹5Hence , the total cost of white washing four walls of the room ;-
₹ ( 160 x 5 ) = ₹ 800Area of ceiling is 12 x 8 = 96m².Cost of white washing the ceiling.
₹ (96 x 5 ) = ₹ 480.So , the total cost of white washing ;
₹ ( 800 + 480 ) = ₹ 1280 .Hope this helps you :)
#Carry on learning# :) ..
42, 53, 54, 55, 59, 59, 60, 63, 65, 67, 70, 71, 73
Mode=
A. 60
B. 59
C. 60.85
Reason:
The mode is the number that shows up the most.
In this case, it would be 59 because it shows up twice, which is the most compared to any other number (which only show up once).
Taliya secured a position with att for her summer jobshe was in charge of placing a cell tower that was equidistant to an elementary school, shopping mall, and starbucks. the three locations form a triangular pattern on the map. if taliya were to use a center of triangle, which should she use for the cell tower placement that would be equidistant from those three locations on the map.
The Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.
What is circumcenter of a triangle?The circumcenter of a triangle is the point which lies in the center of the triangle and at the equidistant from all the three vertex of the triangle.
Taliya gets a summer job. She was in charge of placing a cell tower which should be equidistant to an elementary school, shopping mall, and starbucks.
The three locations form a triangular pattern on the map. Now the Taliya were to use a center of triangle.
Thus, the Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.
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A marble is selected at random from a jar containing 4 red marbles, 5 yellow marbles, and 3 green marbles. What is the probability that the marble that gets selected is red?
Answer:
p(picking red)= 4/12 (4 over 12) which can get simplified to 1/3 (1 over 3)
What is the value of the expression below written in scientific notation? and explain
Answer:
10 x 10^7
Step-by-step explanation:
When multiplying two expressions of scientific notation together, you multiply the values together, and then add the exponents. In this case, it would be:
2.5 x 4 = 10
4 + 3 = 7
10 x 10^7
Which transformations would result in the image shown?
ABCD is reflected over both axes.
ABCD is translated right 4 units and down 3 units.
ABCD is reflected over the x-axis and translated right 4 units.
ABCD is reflected over the y-axis and translated down 3 units.
Best answer gets brainliest!
Answer:
the answer is reflected over both axes hope this helped
Felipe bought 32 ounces of nuts at the store. How much is this in pounds?
Answer:
2 pounds (lbs)
Step-by-step explanation:
Please help me in my math problem! Need within 10 minutes!
The length of the short and long diagonals of the parallelogram to 3 decimal places are 5.244 units and 14.370 units respectively.
What are parallelogram?
Parallelograms are quadrilateral. They have opposite sides equal to each other. Opposite sides are also parallel. The opposite angles are equal to each other.
Therefore, the angles are as follows;
34°34°146°146°Hence,
length of small diagonal = √9²+ 6² - 2(9)(6) cos 34
length of small diagonal = √81 + 36 - 108(0.82903757255)
length of small diagonal = √117 - 89.5360578359
length of small diagonal = √27.5
length of small diagonal = 5.24404424085
length of small diagonal = 5.244 units
5.244² + d² = 2(9² + 6²)
27.499536 + d² = 2(81+36)
d² = 234 - 27.499536
d²= 206.5
d = √206.5
d = 14.3701078632
d = 14.370 units
length of the longer diagonal = 14.370 units
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Find the length of a hypotenuse for a right triangle with legs 3 and 3. Round your answer to the nearest hundredth.
Answer:
H=4.243
Step-by-step explanation:
Formula: A^2+B^2=C^2
(3)^2+(3)^2=C^2
9+9=C^2
sqrt18=C
C=4.242640....
)The scatter plot shows the relationship between the number of hours spent practicing piano per week and the number of pieces of music the student can play:
A scatter plot is shown. The x-axis is labeled hours spent practicing and the y-axis is labeled number of pieces student can play. Data points are located at 1 and 1, 1 and 5, 2 and 10, 2 and 15, 3 and 15, 3 and 25, 4 and 40, 5 and 40, 5 and 50, 6 and 55, 6 and 70, 8 and 90, 3 and 70. A circle labeled T includes all points except for 3 and 70. Point 3 and 70 is circled and labeled as R.
Part A: What is the group of points labeled T called? What is the point labeled R called? Give a possible reason for the presence of point R. (3 points)
Part B: Describe the association between the number of hours practiced each week and the number of pieces a piano student can play. (2 points)
Part A
The group of points labeled "T" can be thought of as the main cluster of points. Your teacher might have given another name for it, but this is how I think about it. All of these points are very close to a straight line.
The point R is known as an outlier. It is fairly far from the main cluster, in that it's not near the regression line. You can think of the points in the main cluster as houses along/near a straight road. The outlier house is unfortunately far from that road.
One possible reason for point R is that the student is very talented and can pick up music really easy, thereby not needing that much practice. Another reason is that the student already had tons of prior practice and experience, so they don't need as much practice currently.
============================================================
Part B
We have a strong positive linear association with the main cluster of data points. As mentioned earlier, a straight line is very close to these points. The closer they are to the same straight line, the stronger the correlation.
We have positive correlation because as x goes up, so does y. The variables increase together. Negative correlation happens when x and y go in opposite directions (one goes up, the other goes down).
The outlier point R pulls on the regression line to make it slightly not near the main cluster. The line tries its best to be near all of the points, and that includes the outlier. In some situations, the outlier is ignored and regression is done on the other set of points.
As you can probably guess, the outlier dilutes the strength of the correlation. The further the outlier, the weaker the correlation gets.
Answer:
Here you go!
Step-by-step explanation:
A) The group of points labeled T called cluster. The point labeled R called outlier. Student because of being proficient on the piano before practice was measured.
B) A positive correlation is a relationship between two variables that tend to move in the same direction
Find the surface area of a basketball with a diameter of 24 cm. Answers are in terms of pi.
if it has a diameter of 24, then its radius must be half that, or 12.
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]
In a certain Algebra 2 class of 28 students, 14 of them play basketball and 7 of them
play baseball. There are 2 students who play both sports. What is the probability tha
a student chosen randomly from the class plays basketball or baseball?
Answer: 19/28
Step-by-step explanation:
p(student plays basketball)= 14/28
p(student plays baseball)= 7/28
2 students play both sports= 2/28
⇒ 14/28+ 7/28 - 2/28 = 19/28
How much greater is TR(300) than TR(299)
Answer:
300
Step-by-step explanation:
TR(n)= n*(n+1)
2
TR(300)=300*(300+1)
2
TR(299)=299*(299+1)
2
45150-44850=300
One way to solve is to find TR(300) and TR(299) and then find the difference in between them.
A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm find the thickness of each sheet of paper answer in millimeters
The thickness of each sheet of paper is 0.0012mm.
To find the thickness of each sheet of paper answer in millimeters.
What is mensuration?The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.
Given that:
A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm.
To convert cm in mm.
3742.2cm=37422 mm
Surface 1 sheet:
(297mm) X 210mm) =
62370[tex]mm^{2}[/tex]
Volume 1 sheet:
37422mm : 500 =
74.844mm
Thickness of 1 sheet:
74.844mm : 62370mm =
0.0012mm
So, the thickness of each sheet of paper is 0.0012mm.
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A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital. What does a large standard deviation on all the answers tell the researcher about the research sample
A large standard deviation means the view of the people is very dispersed and not near the mean or not similar.
What is the meaning of Standard Deviation ?Standard deviation is a very important terminology in Statistics which help to study dispersion of data from the mean
A lower value of standard deviation means the data is accumulated near the mean while a higher value means the data is dispersed in the entire range.
It is given in the question that
A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital.
The standard deviation value for the sample is large
A large standard deviation means the view of the people is very dispersed and not near the mean or not same.
There will be difference in the opinion as they deviate from the central value.
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Scott rolled a number cube several times and counted how many times he rolled a 3.
If Scott rolls the number cube 300 times, how many times should he predict to roll a 3?
Answer:
if it is a 6 sided cube, then 50
Step-by-step explanation:
300/6=50
simplify fully the following :
2√3 x 3√8
Answer:
29.3938769134
Step-by-step explanation:
Answer:
[tex]\sf 12\sqrt{6}[/tex]
Please help this is for my younger sibling 70 points!!!
Part A: What fraction of the flips landed heads up, and what fraction landed tails up?
Heads up: ___________Tails up: _____________
Part B: What is the probability of the coin landing heads up on his next try?
Part C: Why didn’t Steve’s results match the probability of a coin landing heads up?
Heads is 6/10 and tails is 4/10
if answer needs to be simplified then heads is 3/5 and tails is 2/5
Heads: Fraction= 6/10 simplified=3/5 Percentage= 60% Decimal=0.6
Tails: Fraction= 4/10 simplified=2/5
Percentage=40% Decimal=0.4
brainliest if answer is good
For what real values of $c$ is $4x^2 + 14x + c$ the square of a binomial?
Only for c = 49 the given expression is the square of a binomial.
For which values of c is the given expression the square of a binomial?We want to find the values of c such that:
[tex]4x^2 + 14x + c[/tex]
Is the square of a binomial.
Remember that:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
Now we can rewrite our expression as:
[tex](2x)^2 + 2*7*x + c[/tex]
If you compare that with the general binomial expansion, we can see:
[tex]a = 2x[/tex]
[tex]b = 7[/tex]
Then c must be equal to 7 squared:
[tex]7^2 = 49 = c[/tex]
Only for c = 49 the given expression is the square of a binomial.
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Find length AC. Give answer to 2 decimal places.
Answer:
6.62cm
Step-by-step explanation:
tan = opp/adj
opp = adj(tan)
opp = 13(tan(27))
opp = 6.62cm
A pack of cookies contains 24 cookies. Now the advertisement says that the pack contains 25% more then before How many cookies are in the pack now?
Answer:
24 cookies increased by 25% is 30 cookies
step by step explination:
If you want to increase a number by a certain percentage, follow these steps:
1. Divide the number you wish to increase by 100 to find 1% of it.
2. Multiply 1% by your chosen percentage.
3. Add this number to your original number.
4. There you go, you have just added a percentage increase to a number!
Aiden earned a score of 22 on exam a that had a mean of 40 and a standard
deviation of 10. he is about to take exam b that has a mean of 650 and a standard
deviation of 25. how well must aiden score on exam b in order to do equivalently
well as he did on exam a? assume that scores on each exam are normally distributed.
Using the normal distribution, it is found that he needs a score of 605 in exam b in order to do equivalently well as he did on exam a.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For the z-score for exam a, we have that the parameters are given as follows:
[tex]X = 22, \mu = 40, \sigma = 10[/tex]
Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{22 - 40}{10}[/tex]
Z = -1.8.
Then, for the equivalent grade X in exam B, we have that:
[tex]Z = -1.8, \mu = 650, \sigma = 25[/tex]
Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.8 = \frac{X - 650}{25}[/tex]
X - 650 = -1.8 x 25
X = 605.
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Question 5 of 20
(___)^2=(secx-1)(secx+1)
answer here:
Hey guys! Please read this whole thing!
Ok, so I just went into this coarse and I read the lesson and it can’t answer this anywhere! Should I just like ignore the 4 in there? If not, can you walk me through step by step how I would find the volume in this question? I’m completely stuck. Help!
Answer: Yes, you can ignore the four on this one. Since the shape is irregular, you have the separate them. The bigger box will be 54.
Length(6) × Width(3) × Height(3)
Do the same for the smaller box = 3 × 1 × 2
The volume of this irregular shape will be 60.
the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data sample, how many of them were in the 75 to 80 range?
Answer:
63
Step-by-step explanation:
score 75 is one standard dev below the mean ====>to the mean encompasses approx 34% of scores
.34 * 186 = 63
Which statements about the hyperbola are true? check all that apply. the center is located at (0, 0). there is a vertex at (–6, 0). the transverse axis of the graph is vertical. the foci are located within the rectangular reference box. the directrices are vertical lines.
The following claims concerning hyperbola are correct:
The center can be found at (0, 0).At (–6, 0), there is a vertex.Vertical lines serve as directrices.What is a hyperbola, exactly?It's worth noting that a hyperbola is essentially an open curve with two branches.
The center is at (0, 0), the vertex is at (–6, 0), and the directrices are all vertical lines.
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Answer:
1,2,5
Step-by-step explanation:
I NEED THE PROPER ANSWER AND EXPLAINATION PLS
complete these rates:
a) $96 in 3 hours = $ /h
b) 14 g in 2 minutes = g/min
c) 32 m in 10 seconds = m/min
d) $7.40 in 30 minutes = $ /h
e) 660 runs in 8 matches = runs/match
Answer:
See below
Step-by-step explanation:
a) $96 in 3 hours = 96/3 = $32/hb) 14 g in 2 minutes = 14/2 =7 g/minc) 32 m in 10 seconds = 32*60/10 = 132 m/mind) $7.40 in 30 minutes = 7.40*60/30= $14.8 /he) 660 runs in 8 matches = 660/8 = 82.5 runs/matchGIVING BRAINLIEST!!!!!
Answer:
The first answer is correct
Step-by-step explanation:
< O Z Q = < O Z P + < Q Z P
Given that,
< O Z Q = 12x - 4
< O Z P = 6x + 4
< Q Z P = 3x + 10
Let us solve it now.
< O Z Q = < O Z P + < Q Z P
12x - 4 = 6x + 4 + 3x + 10
Combine like terms and make the x as the subject.
12x - 4 = 9x + 14
12x - 9x - 4 = 14
3x - 4 = 14
3x = 14 + 4
3x = 18
Divide both sides by 3.
x = 6
