Answer: the height of a flower in the field is 13.6 centimeters.
Step-by-step explanation:
Since the heights of different flowers in a field are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of different flowers.
µ = mean height
σ = standard deviation
From the information given,
µ = 12.7 centimeters
σ = 2.3 centimeters
The z-score is 0.4
Therefore,
0.4 = (x - 12.7)/2.3
Cross multiplying by 2.3, it becomes
0.4 × 2.3 = x - 12.7
0.92 = x - 12.7
x = 0.92 + 12.7
x = 13.6 centimeters to the nearest tenth
What is the square root of 7? Decimal form please. Person with the most decimal places gets brainliest.
Answer:
2.64575131106 2.6457513110645905905016157536392604257102591830824501803683344592010688232302
83627760392886474543610615064578338497463095743529888627214784427390555880107722
71715072972832389229968959486508726070097805420372382802371594110034193911600157
85255963059457410351523968027164073737990740415815199044034743194536713997305970
05051399692237545616097119027378154991633288287704000657570674651963497752083793
81811461309087647378659562433057994798128163230705483650107715617946361191553454
53647749482059309049484983403398900210478616673327950369392462257170537164925787
54832290732492671346980298949908037748251109227895568897919808814834090831685251
33535829539172211770714414974576907081989444441458972284741400303502353203719487
07382629318519364090832280596462783761021959794197089096354695861341181793067816
21360849101677835321255633463490021898146042255929503669562418692737327715022087
52309966469813203212818945478568020950635962446628550076190504139350447437123488
52233277362510045059621080672334698120004300514490251206257311759115423194459672
60497833404344683725636178255048160879406205511486397833055016369470076387773745
19511658095220474202064982102444056001996590904100285534069110102261166807200774
83070332613842826296809502470794656496344336830519708820348050486447262317930876
95722489377521119788376007845603903658809421599292501057753682356001720074065236
92473209967419778002535708540617794442886681589731184938101638162073015642647016
29841099690071341323798188477647769954391111945967670336972452475367740100245826
51593077528163005479339717508017899520565284447796194304512502890432970610508746
04492966897542257133380633247034508888234275409806214511439553803393190705392738
14520604335238180389333294731479058055670704161068722878104529957696633035133295
04704245502510500789645502552271857923370921821991843932537781386785650143790894
13002099040860186605228131329821735251716419633617853080179022873400337109527257
36428650922035916343820273976336550966714177816292894279884853951076819102168116
99677176780863793410667897509217050421558644370687652934899322442240273649792906
66842070305782257110537944215790013280304078494579431518120466309284152592404683
65282802722458530778415894238973955590959563491357495109757674781975590533726939
36521431268222909570986506137179452721677198255442288046052307455488310813325041
49932783468182066583447383366862454456169497251774270254688591746231942309355060
38899235355634465872922507362228284298215287903623847595555861643755472027361518
00826144981691174794610631845652307625691344410868551999982851633960745717970829
72776495645142655658205126240305961633868338746134237463526431296594527010213721
72174899143552932049575097114259427207988929665230498875939525378121455723193310
30690840194942118708515205734116214105775416917245804962369512932926647583857193
34312550616097509003957512063487575979549295499224726634074018815634940531052960
4465875564620943Step-by-step explanation:
Use the quadratic formula to solve 2x^2 + 2x - 12?
Answer:
If you plug it all in you will get x=2 x=-3
Step-by-step explanation:
The quadratic formula is
-b+/-[tex]\sqrt[/tex]-b^2-4ac all over 2(a)
your equation 2x^2+2x-12
you can label it
a=1 b=2 c=-12
If you plug it all in and solve you will get x=2 x=-3
The values of x would be 2 and 3 which are determined by using the quadratic formula to solve the given quadratic function.
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
We have been given that quadratic function as
2x² + 2x - 12
Compare the given function to the standard quadratic function f(x) = ax² + b x + c.
We get a = 2, b = 2 and c = -12
Using the quadratic formula to solve the above quadratic function
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Substitute the values of a = 2, b = 2 and c = -12 in the quadratic formula,
[tex]x = \dfrac{-2\pm\sqrt{2^2-4\times2\times-12}}{2\times2}[/tex]
[tex]x = \dfrac{-2\pm\sqrt{4+96}}{4}[/tex]
[tex]x = \dfrac{-2\pm\sqrt{100}}{4}[/tex]
[tex]x = \dfrac{-2\pm10}{4}[/tex]
x = (-2+10)/4 and x = (-2-10)/4
x = (8)/4 and x = (12)/4
x = 2 and x = 3
Therefore, the values of x would be 2 and 3 which are determined by using the quadratic formula to solve the given quadratic function.
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4 of 5
© Natasha can type 2600 words in 40 minutes.
Henry can type 4900 in 70 minutes.
Mark can type 3750 words in 50 minutes.
Who types at the fastest rate of words per minute?
Answer:
Mark types the fastest rate of words per minute at 75 words per minute
Step-by-step explanation:
In this question, we want to know which of the three typists has the fastest typing rate.
To calculate this, what we need to do is to divide the total number of words they can type by the number of minutes taken to type those words.
For Natasha, we have; 2600 words / 40 minutes = 65 words per minute
For Henry, we have 4900 words/70 minutes = 70 words per minute
For Mark, we have 3750 words/50 minutes = 75 words per minute
We can see that Mark with 75 words per minute has the fastest typing rate
A pool company claims that for optimal results customers should use 20 cups of 73% chlorine solution to treat their pools unfortunately the company only has an 80% chlorine solution and a 60% chlorine solution In stock how many cups of Each chlorine solution should be mixed to create the optimal solution?
Answer:
13 cups of the 80% chlorine solution + 7 cups of the 60% chlorine solution
Step-by-step explanation:
The pool company recommendation is 20 cups of 73% chlorine to treat their pool
Concentration of chlorine solution in stock = 80% and 60%
Therefore to make 20 cups of 73% solution, we require;
X cups of the 80% chlorine solution and
Y cups of the 60% chlorine solution
That gives 0.8·X + 06·Y = 0.73 × 20
X + Y = 20
Solving gives X = 13 cups
and Y = 7 cups
Therefore to make the optimal solution, 13 cups of the 80% chlorine solution should be mixed with 7 cups of the 60% chlorine solution.
What is the volume of this loaf of bread, assuming that the top part of the end of the loaf is a semi-circle? Show all work.
Answer:
Step-by-step explanation:
We would section the bread into a cuboid at the bottom and a semi cylinder at the top.
Considering the bottom, the formula for determining the volume of a cuboid is expressed as
Volume = length × width × height
Therefore,
Volume = 20 × 11 × 6 = 1320 cm³
Considering the semi cylinder,
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder
h represents the height of the cylinder.
π = 3.14
Looking at the diagram,
Height = 20 cm
Diameter = 11 cm
Radius = diameter/2 = 11/2 = 5.5 cm
Since it is a semi cylinder, then
Volume = 1/2 × 3.14 × 5.5² × 20 = 949.85 cm³
Therefore, volume of this loaf of bread is
1320 + 949.85 = 2269.85 cm³
A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were used to water the plants? 7 cups 18 cups 40 cups 84 cups
Answer:
2044 cups
Step-by-step explanation:
In a quart, there are 4 cups:
1 quart = 4 cups
In 512 quarts, there will be:
4 * 512 cups = 2048 cups
If only 4 cups remained after watering, then the number of cups used to water the plants is:
2048 - 4 = 2044 cups
7-18
18 cups is correct cuz 5/12 in quarts well in the 1st place 4 cups go into a quart then u gatta figure out 4x4=16 and then the 12 at 5/12 add them cuz u got 2 and im pretty sure ull get 7-18
HOPE IT HELPED :D :D
please help fast i am struggling
Answer:
what is the question
Step-by-step explanation:
It's been so hot out lately that you are thinking of throwing a bucket of water over your brother's head. You have a 2 gallon bucket, 7 quart bucket and an 18 pint bucket. Which bucket holds the most water to splash your brother with? (1 gallon = 8 pints, 1 gallon = 4 quarts, 1 quart = 2 pints)
Answer: The 18 pint bucket.
Step-by-step explanation: If you convert all of the units to gallons, you will find that the 7 quart bucket contains 1.75 gallons and the 18 pint bucket contains 2.25 gallons. Since 2.25 is the greatest amount, the 18 pint bucket contains the most water.
Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) How much farther did the second duckling wander than the first duckling?
The magnitude of the first duckling's displacement is 13 units, and for the second duckling it is approximately 15.3 units. The second duckling wandered 2.3 units farther than the first.
Explanation:The student is asking about the displacements of two ducklings from their nest and how much farther one wandered than the other. To compare the displacements of the two ducklings, we calculate the magnitudes of their displacements using the Pythagorean theorem.
For the first duckling's displacement, with coordinates (12,5), the magnitude is
sqrt(122 + 52) = sqrt(144 + 25) = sqrt(169) = 13 units.
For the second duckling's displacement, with coordinates (13,-8), the magnitude is
sqrt(132 + (-8)2) = sqrt(169 + 64) = sqrt(233) = approximately 15.3 units.
The second duckling wandered farther by the difference in magnitudes, which is 15.3 units - 13 units = 2.3 units. Therefore, the second duckling wandered 2.3 units farther than the first duckling.
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A washer and a dryer cost $713 combined. The washer costs $37 less than the dryer. What is the cost of the dryer
Answer:
375
Step-by-step explanation:
713 - 37 = 676
676 divided by 2 = 338
That would be the washer but we need to add the 37 again for the dryer
338 + 37 = 375
Find: 0.15 of $2 dollars
Given:
Given that we need to determine the value 0.15 of $2 dollars.
Value:
Let us determine the value of 0.15 of $2 dollars.
Value of 0.15 of $2 dollars can be determined by multiplying 0.15 by 2.
Thus, we have;
[tex]0.15 \times 2[/tex]
Multiplying the values, we get;
[tex]0.3[/tex]
Thus, the value of 0.15 of $2 dollars is 0.3 dollars.
Answer:
$0.30
Step-by-step explanation:
0.15 of $2
of is multiplication
0.15 × 2
0.3
Brooklyn needs to earn $14 more dollars to have $32. How much money does Brooklyn have now?
Identify the steps needed to write and solve an equation to solve the word problem. Select all that apply.
The variable, m, is equal to the amount of money Brooklyn has now.
The variable, m, is equal to the amount of money Brooklyn needs to earn.
The correct equation is 14 + m = 32.
The correct equation is 14m = 32.
To solve the equation, subtract 14 from both sides.
To solve the equation, divide 14 on both sides.
Answer:
its A,C,E
Step-by-step
i got it right on edge
Brooklyn has $18 now.
The correct steps are given below.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called an equation.
Given:
Brooklyn needs to earn $14 more dollars to have $32.
Let m be variable, which is equal to the amount of money Brooklyn has now.
The equation is,
14 + m = 32.
To solve the equation:
Subtract 14 from both sides.
We get,
m = 18
Therefore, the value of m is 18.
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In order to answer the following question, please use the following image down below:
Find the value of x.
X=(Blank)
What is the value of X? Please show all the work on how you got your answer.
(If you can't explain your work, then it's fine. The only thing that I'm asking for is for you to show the work alongside your answer)
Answer:
4
Step-by-step explanation:
(x+8)(8) = (10+6)(6) -->
8x + 64 = 60 + 36 -->
8x = 32 -->
x = 4
A tangent line intersecting with a radius always creates a
A tangent line intersecting with a radius always creates a right angle.
A tangent line intersects with a circle at only one point.
This point is referred to as the point of tangency.
When a radius is drawn to intersect with the tangent line at the point of tangency, then the angle at that point of intersection is a right angle i.e. the measure of the angle is 90 degrees.
This is so because both lines (i.e. the radius and the tangent line) are perpendicular lines.
Hence, the text that completes the statement is right angle.
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Which two of the following are applications of the Logarithmic model? *
20 points
College GPA
Richter Scale
Acidity/Alkilinity
Compound Interest
Amortization Schedule
Question:
a. College GPA
b. Richter Scale
c. Acidity/Alkalinity
d. Compound Interest
e. Amortization Schedule
Answer:
The correct two options are;
b. Richter Scale
c. Acidity/Alkalinity
Step-by-step explanation:
Here we have
b. The Richter Scale, given by the following relation;
[tex]M = log(\frac{I}{I_0} )[/tex]
M = Earth quake magnitude
I = Earthquake intensity
I₀ = Earthquake intensity of magnitude 0
Comparing two Earthquakes, A and B, we have
[tex]M_A - M_B = log(\frac{I_A}{I_B} )[/tex]
c. Acidity/Alkalinity are determined by the pH of the solution, which is the negative logarithm of the hydrogen ion concentration
pH = -log₁₀ [H⁺].
What is the volume of a rectangular prism with length 12, width 6m and height 5m
Answer:
360
Step-by-step explanation:
12x6x5 is 360. The volume formula is V=L*W*H
gnostic Test
25
Taryn is hosting a party at a restaurant. The restaurant is charging her $160 to rent the space and $19 per guest. If Taryn wants to
spend less than $635, which inequality could be used to solve for x, the number of guests Taryn can invite?
A. $19x + $160 < $635
OB. $19x < $160
C. $19x < $635
OD. $19x - $160 < $635
Reset
Submit
Answer:It would be A. $19x + $160 < $635
Step-by-step explanation:
In right triangle ABC, A=28º, b= 7, and ZC is the right angle. Solve the triangle.
OB = 62, a=3.3, C=7.7
B = 62°, a = 7.9, C= 3.7
O B = 62°, a=3.7, C = 7.9
O B= 62°, a=6.2. C= 9.4
Answer:
B=62, a=3.7, C=7.9
Step-by-step explanation:
What is the solution to the equation x/3 + 5 = 8?
x = 1
x = 6
x = 7
x = 9
Brainliest if answered correctly.
Answer:
The answer is for sure x = 9
Answer:
x=9
Step-by-step explanation:
x/3+5=8 -5=-5 x/3=3 x=9PLEASE HELP I WILL MAKE BRAINLIST
In a certain Algebra 2 class of 28 students, 21 of them play basketball and 8 of them play baseball. There are 2 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer: 11%
Step-by-step explanation: What I did is i added 21 8 and 2 together and subtracted them by the amount of students which is 28. Then with that number/ 3 I divided by 28 which gave me the percentage .10714. I then rounded and ended with 11%. Im pretty sure this is the right answer if anyone thinks they know im wrong please say
Answer:
THE CORRECT ANSWER IS 3/28
Step-by-step explanation:
(1 point) The revenue, in dollars, from selling x items is R(x)=400x−x2, and the total cost, in dollars, is C(x)=50+9x. Write a function that gives the total profit earned, and find the quantity which maximizes the profit.
Answer:r=400 because the x is 72(6)
Step-by-step explanation:
Dance lessons cost $198.75 for 15 classes
What is the cost per class? What would the cost
be for 25 classes?
Answer:
331.25
Step-by-step explanation:
First you want to find how much each class cost. So first you want to divide $198.75 by 15 and you will get 13.25. Once you do that you will multiply 13.25 by 25 to get 331.25. Your welcome.
QUICK FIRST GETS BRAINLIEST!!!!! Use the interactive spinner to model who among Elisondra and her three friends will order first.
Then answer the questions:
What is the theoretical probability of the spinner landing on Elisondra’s section?
Spin the spinner.
Who orders first?
Answer: The chance of Elisondra getting picked is 25%
Step-by-step explanation:
Now you spin the spinner and whoever it lands on is the one who orders first.
Good Luck!
Answer:
It depends if Elisondra and her friend's share of the wheel is the same but if it is the same, then it is a 1/4 chance because there are 4 people.
A 10 foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which is closest to the distance from the top of the ladder to the base of the wall
Answer: 9.16 feet
Step-by-step explanation:
Hi, to answer this question, since we have formed a right triangle (see attachment) we have to apply the Pythagorean theorem:
a2 +b2 = c2
Where c is the hypotenuse of a right rectangle (the longest side) and a and b are the lengths of the other 2 sides.
In this case the hypotenuse us the ladder.
So, replacing with the values:
4^2 + b ^2 = 10^2
16 + b^2 = 100
b^2 = 100-16
b^2 = 84
b = √84
b= 9.16 feet
A bag contains 31 red blocks, 49 green blocks, 24 yellow blocks, and 21 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability.
P(green or red)
Answer:
16/25 or 0.64 or 64%
Step-by-step explanation:
Please kindly check the attached file for explanation
Answer: The probability of picking a green block or red block is 0.64 (or 64%)
Step-by-step explanation: The total number of blocks can be derived as;
31 (R) + 49(G) + 24(Y) + 21(P) = 125
With 125 blocks in total, there are 125 possibilities and the possibility of picking any of the four colors shall be be determined as a fraction of the entire possible outcomes.
The probability of picking a green ball when picked at random is given as;
P(Green) = Number of required outcomes ÷ Number of all possible outcomes
P(Green) = 49/125
(Note that there are 49 green blocks and a total of 125 blocks of all four colors)
Also the probability of picking a red ball when picked at random is given as;
P(Red) = Number of required outcomes ÷ Number of all possible outcomes
P(Red) = 31/125
The probability of picking a green block or a red block is given as P(green or red)
P(Green or Red) = 49/125 + 31/125
P(Green or Red) = 80/125
P(Green or Red) = 16/25
P(Green or Red) = 0.64
Therefore the probability of picking a green or red block at random is 0.64 or 64%
Which function has the same graph as y = 2cos(x + pi/4 )?
y = 2sin(x + pi/4 )
y = 2sin(x - pi/4 )
y = 2sin(x + 3pi/4 )
y = 2sin(x - 3pi/4 )
Answer:
y = 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) has the same graph of y = 2 cos (x + [tex]\frac{\pi }{4}[/tex] ) ⇒ 3rd answer
Step-by-step explanation:
Let us revise the rules of the trigonometric compound angles
cos(x + y) = cos x cos y - sin x sin y
sin(x + y) = sin x cos y + cos x sin y
Let us solve the problem using the rules above
y = 2 cos (x + [tex]\frac{\pi }{4}[/tex] )
∵ 2 cos (x + [tex]\frac{\pi }{4}[/tex] ) = 2[cos x cos [tex]\frac{\pi }{4}[/tex] - sin x sin [tex]\frac{\pi }{4}[/tex] ]
∵ cos [tex]\frac{\pi }{4}[/tex] = [tex]\frac{\sqrt{2}}{2}[/tex] and sin [tex]\frac{\pi }{4}[/tex] = [tex]\frac{\sqrt{2}}{2}[/tex]
- Substitute them in the right hand side
∴ 2 cos (x + [tex]\frac{\pi }{4}[/tex] ) = 2[ [tex]\frac{\sqrt{2}}{2}[/tex] cos x - [tex]\frac{\sqrt{2}}{2}[/tex] sin x]
- Multiply the bracket in the right hand side by 2
∴ 2 cos (x + [tex]\frac{\pi }{4}[/tex] ) = [tex]\sqrt{2}[/tex] cos x - [tex]\sqrt{2}[/tex] sin x
∴ y = [tex]\sqrt{2}[/tex] cos x - [tex]\sqrt{2}[/tex] sin x
Now let us find the function which give the same right hand side of the function above
y = 2 sin (x + [tex]\frac{3\pi }{4}[/tex] )
∵ 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) = 2[sin x cos [tex]\frac{3\pi }{4}[/tex] + cos x sin [tex]\frac{3\pi }{4}[/tex] ]
∵ sin [tex]\frac{3\pi }{4}[/tex] = [tex]\frac{\sqrt{2}}{2}[/tex] and cos [tex]\frac{3\pi }{4}[/tex] = [tex]-\frac{\sqrt{2}}{2}[/tex]
- Substitute them in the right hand side
∴ 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) = 2[ [tex]-\frac{\sqrt{2}}{2}[/tex] sin x + [tex]\frac{\sqrt{2}}{2}[/tex] cos x]
- Multiply the bracket in the right hand side by 2
∴ 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) = [tex]-\sqrt{2}[/tex] sin x + [tex]\sqrt{2}[/tex] cos x
- Switch the two terms of the right hand side
∴ 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) = [tex]\sqrt{2}[/tex] cos x - [tex]\sqrt{2}[/tex] sin x
∴ y = [tex]\sqrt{2}[/tex] cos x - [tex]\sqrt{2}[/tex] sin x
- The same with right hand side of the function above
∴ y = 2 sin (x + [tex]\frac{3\pi }{4}[/tex] ) has the same graph of y = 2 cos (x + [tex]\frac{\pi }{4}[/tex] )
Answer:
y=2sin(x+3pi/4)
Step-by-step explanation:
Answer C
In the figure below, hln. Find the values of z and y.
To find y:
[tex]3y-14=180[/tex]
[tex]3y=194[/tex]
[tex]y=64.7[/tex]
To find z:
[tex]180 - 64.7 = z[/tex]
[tex]z = 115.3[/tex]
The ratio of boys to girls in a group is 2:1. If there are 22 more boys than girls, work out how many people there are in total
Answer:
66 in total. 44 boys and 22 girls
Step-by-step explanation:
you have to multiply 22 by 2 because there is twice as many (half of two is one) boys than there is girls.
Answer:
66
Step-by-step explanation:
There is a 2:1 ratio of boys to girls, and there are 22 more boys than girls. We can assume that 2/3 of the class are boys while 1/3 of the class is girls.
The difference between the two is 1/3. This can be found by taking away the smaller of the two from the larger, in this case it's 2/3 - 1/3. Removing the third, it's 2-1 which can be done by multiplying the two fractions by three. If we add the third back by dividing by three, we get 1/3.
This means that 22 people must be equivalent to 1/3 the total class' population. If x/3 = 22, then 22 * 3 must be x.
22 * 3 = 66, so there must be 66 students in the class.
Please helppp can someone please help me I am so confused on how to answer these
Answer:
A; D; A; C; C
Step-by-step explanation:
1. S29 means the sum of the first 29 terms. Because it's an arithmetic sequence, the sum of the first x terms is (the first term + xth term)(x)/2
That means the answer to the first question is (7+70)(29)/2 = 1116.5 (A)
2. The sum of the first 18 terms is (56 + 5)(18)/2 = 549 (D)
3. The common difference is 3.5, making the 26th term 87.5. That makes the sum of the first 26 terms (7+94.5)(26)/2 = 1319.5 (A)
4. The question is asking for the sum of the first 28 terms. The first term is 50-4(1) = 46. The 28th term is 50-4(28) = -62. That makes the sum of the first 28 terms (46+(-62))(28)/2 = -224 (C)
5. The first x terms of a geometric sequence is the (first term - (x+1)th term)/(1-(ratio)).
That makes the sum ((1/3)-(729))/(1-3) = -(2186/3)/-2 = 1093/3 = 364 1/3 (C)
HELP. It’s LOG form. Since were out of school I forgot how I did this and it’s due so it would be a life saver.
Answer:
see below
Step-by-step explanation:
exponent to log: [tex]a^b[/tex] = c ---> logₐc = b
ie. question 6
log ₁₀(3x+1) = 2 -----> [tex]10^{2} = 3x+1[/tex]
that will get you through questions 1 to 3, 5 to 6, and 8
in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3
for questions 7 and 9,
remember that:
logₐc + logₐd = logₐ(cd)
logₐc - logₐd = logₐ([tex]\frac{c}{d}[/tex])
remember change of base is [tex]log_{a} b = \frac{log_xb}{log_xa}[/tex], this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e