Answer:
x = 7.5
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
if you put 3 in the x it is now 3 but the x it is there with the 3 and do 3 with the 4.5 and then add them to each of them then you get your answer
The heights of tomato plants are Normally distributed with Calculate the Z-score for a tomato plant that has a a mean of 3.56 feet and a standard deviation of 0.25 feet height of 4.07 feet. Use the z-lable to answer the question. The Z-score, rounded to 2 decimal places, for a tomato plant that has a height of 4.07 feet is About what percent of tomato plants have a height less than 4.07 feet? Round the percent to 2 decimal places, if necessary About % of tomato plants have a height less thah 4.07 feet
the answers are for the first 2.04% and the second tis 97.93% trust bb :>
Answer:
97.03
Step-by-step explanation:
it is the answer
if it is not then I am sorry
In Normal distribution(z) tomato plants have height less than 4.07 feet is 97.93 %.
What is normal distribution?Normal distribution is a "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
The heights of tomato plants are Normally distributed.
Mean(μ) = 3.56
Standard deviation (σ) = 0.25
For a tomato plants that has a height of 4.07 feet
In order to find Percentage of tomato plants have a height less than 4.07 feet
Standard Normal Distribution Formula,
z = (x-μ)/σ where X~(μ,σ).
= [tex]\frac{4.07-3.56}{0.25}[/tex]
= [tex]\frac{0.51}{0.25}[/tex] = 2.04.
P ( x < 4.05) = P( z < 2.04 )
= 0.9793 ( Using standard Normal distribution table)
To find the percentage of tomato plants have height less than 4.07 feet is
multiply 0.9793 by 100
= 97.93%
Hence, Using Standard Normal distribution we find tomato plants have height less than 4.07 feet is 97.93 %
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In 1995, there were 85 rabbits in Central Park. The population increased by 8.5% each year. How much rabbits were in Central Park in 2005
==============================================
Work Shown:
A = P*(1+r)^t
A = 85*(1+0.085)^10
A = 192.183592562981
A = 192
-----------
Notes:
P = 85 is the starting population.r = 0.085 is the decimal form of 8.5%, so we can say 8.5% = (8.5)/100 = 0.085t = 10 years have elapsed from 1995 to 2005.The formula shown above helps with exponential growth and decay problems.The rabbit population in Central Park in 2005 is 192 rabbits.
To find the rabbit population in Central Park in 2005, we need to calculate the growth from 1995 to 2005.
From 1995 to 2005, there is a total of 10 years.
Using the growth rate of 8.5% per year, we can calculate the population in 2005:
Population in 2005 = 85 rabbits(1 + 0.085)¹⁰
Calculating this expression:
Population in 2005 = 85 rabbits(1.085)¹⁰
= 85 rabbits × 2.2609
= 192 rabbits
Therefore, the estimated rabbit population in Central Park in 2005 is 192 rabbits.
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-75x + 200 represents a bank account balance after x months. What is the initial amount in the
account? What is the rate of change?
There are three rows of VIP seats in each section. Each row
has 12 seats and there are 16 sections. How many VIP seats
are there in all?
Answer:
The answer is 576 seats
Step-by-step explanation:
3 rows x 12 seats = 36 seats in one section
36 seats in one section x 16 sections = 576 seats
Ms. Fleener's fish tank has a bottom area of 102 square
centimeters. If the height of the fish tank is 12 centimeters, how
many cubic centimeters of water does the fish tank hold?
I
Answer:
1224 cm^3
Step-by-step explanation:
volume = bottom area x height
102x12=1224
The fish tank holds 1224 cc of water.
What is volume?In mathematics, volume is the space taken by an object.
Here, given that,
The area of the bottom of the tank =A= 102 cm²
now, the height of the water in tank = h= 12cm
we know, volume of water= A× h
=102×12 cc
=1224 cc
Hence, required volume is 1224 cc
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Find the slope and initial value of the graph below. Then write the equation of the line. Write the equation of the line.
Answer:
y= x + 2
Hope this helps.
in a week 13 hens laid 78 eggs what is the unit rate for eggs per hen?
Answer:
6 eggs per hen
Step-by-step explanation:
78/13=6 eggs per hen
The measures of the angles of a triangle are shown in the figure below.Solve for X.
Answer:
x=20
Step-by-step explanation:
76+44+3x=180
120+3x=180
-120 -120
3x=60
60/3=20
20(3)+120=180
Triangles add up to 180.
Hope this helps! :)
S+f=24 s=3f
I need this now
Answer:
f=6 and s=18
Step-by-step explanation:
Let's solve your system by substitution.
s+f=24;s=3f
Rewrite equations:
s=3f;f+s=24
Step: Solves=3ffor s:
s=3f
Step: Substitute3fforsinf+s=24:
f+s=24
f+3f=24
4f=24(Simplify both sides of the equation)
4f
4
=
24
4
(Divide both sides by 4)
f=6
Step: Substitute6forfins=3f:
s=3f
s=(3)(6)
s=18(Simplify both sides of the equation)
Answer:
f=6 and s=18
A line with a slope of 2 passes through the point (2,4). what is its equation in slope-intercept form?
Answer:
y = 2x + 0
Step-by-step explanation:
How do I find x In these two problems?
Answer:
#1: 146 degrees #2: 111 degrees
Step-by-step explanation:
The angles of a heptagon (a shape with 7 sides) are supposed to add up to 900 degrees, so just add up all the sides that you know and subtract it from 900 and you will have x! Do the same thing with the second one, except is is a hexagon and all the angles should add up to 720 degrees. (Don't forget to add the right angle, which is 90 degrees) So add up all the sides you know and subtract from 720 to get x.
P.S. If correct, please give Brainliest?
Answer:
N = number of sides
The sum of the interior angles of a polygon is equal to (N x 180)-360.
The first problem has 7 sides so the interior angle total = 900 degrees.
Add up all the known interior angles:
96+105+161+123+155+114+x = 900
x = 900-754 = 146 degrees
The second problem has 6 sides so the interior angle total = 720 degrees.
Add up all the known interior angles:
127+40+202+90+150+x = 720
x = 720-609 = 111 degrees
PLEASEE HELP ME I DONT KNOW HOW TO DO THIS !!
Adeel and shayan are given money in the ratio 4:5 if adeel has RS 1179 after the adjustment, how much did he have in the original share out
Answer:
$2652.75
Step-by-step explanation:
Let b represent the original amount shared out
The equation representing how much adeel received is
4/9 x b = RS 1179
To find b, divided both sides by 9/4
b = $2652.75
The ratio of one side of ACDE to the corresponding side of a similar AFGH IS 2:5. The perimeter of A CDEIS 9.2 inches.
Find the perimeter of AFGH.
Answer:
25:16 is the ans hope that helps!
9514 1404 393
Answer:
23 inches
Step-by-step explanation:
The perimeters have the same ratio. Multiplying the ratio figures by 4.6 gives ...
2 : 5 = (4.6)2 : (4.6)5 = 9.2 : 23
The perimeter of ΔFGH is 23 inches.
A store pays $11 for a set of spoons and marks the price up by 30%. What is the amount of the markup?
Answer:
[tex]\$3.3[/tex]
Step-by-step explanation:
Given:
Amount paid by a store for a set of spoons = $11
Percentage increase in price = 30%
To find: amount of the mark up
Solution:
To find amount of the mark up, find 30% of (amount paid by a store for a set of spoons)
Amount of the mark up = [tex]\frac{30}{100} (11)=\$3.3[/tex]
What is the domain of all of these points?
(8, 2), (12,9), (16, 16), (20, 23)
Answer:
8, 12, 16, 20
Step-by-step explanation:
those are the domains
4(5.8 - 9x) + 8.2 + 22x
Answer:
157 - 70x
—————————
5
Step-by-step explanation:
Answer:
31.4 - 14x
Step-by-step explanation:
4(5.8 - 9x) = 23.2 - 36x
23.2 - 36x + 8.2 + 22x
23.2 + 8.2 - 36x + 22x
only add/subtract LIKE terms
31.4 - 14x
what is 3v+h v=5 h=10 which is what
Answer:
25
Step-by-step explanation:
3(5)+10 = 15 + 10 = 25
y/-9=1/18 solve for y
Answer:
y=-1/2
Step-by-step explanation:
Please help, and show steps :)
Me pueden ayudar porfis no entiendo
¿Cuantos triangulos tiene un eneagono?
Answer:
un eneagono tiene 9 triángulos
Evaluate the expression.
Answer:
Step-by-step explanation:
Combine like terms
8+7y+2x+4y+4
11y+2x+12
cuantas combinaciones de 5 cifras se pueden hacer con los sig numeros 1,2,3,4,5
Responder:
Hay 120 combinaciones posibles
What is X=? // which choice is correct ? (Ignore my guessing choice mark)
Given:
A figure of a right angle triangle.
To find:
The length of the shorter leg.
Solution:
In a right angle triangle,
[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]
[tex]\sqrt{3}=\dfrac{18}{x}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
On further simplification, we get
[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]
[tex]x=6\sqrt{3}[/tex]
[tex]x=10.3923[/tex]
[tex]x\approx 10.4[/tex]
Therefore, the length of the shortest leg is 10.4 and the correct option is B.
Please I need help does anyone know a hack for khan academy
Answer:
Answer:
0.3643
Step-by-step explanation:
Standard Form and Scientific Notation
What is standard form of numbers?
Standard form is the normal way of writing numbers no matter how big or small the number is.
Examples:
15,000,000
0.0000000678
What is scientific notation?
Scientific notation is a different way of expressing numbers. It is a short way of expressing very big numbers or very small numbers. It is also known as exponential form. Scientific notation is written as the product of a number and a power of 10.
Examples:
1.3 × 10⁶
34.5 × 10^⁻9
Going back to the question above, we need to convert the given scientific notation to its standard form.
Converting of Scientific Notation to Standard Form
To convert a number from scientific notation to standard form, move the decimal point.
The exponent tells the direction and the number of times we need to move the decimal point.
The positive exponent indicates a large number so we need to move the decimal point to the right.
The negative exponent indicates a small number so we need to move the decimal point to the left.
Do not write the power of 10 anymore.
Solution:
Now, let us convert 3.643 x 10^-1 in standard form.
The exponent is negative 1 so we will move the decimal point to the left once.
3.643 = 0.3643
The length of a rectangle is three times its width.
If the width is represented by x, what is the
perimeter of the rectangle, in terms of x?
Answer:
perimeter:- 8x
Step-by-step explanation:
since,
length= 3(width)
length= 3x
and, perimeter= 2(l + b)
= 2(3x + x)
= 2(4x)
perimeter = 8x
PLEASE HELP I WILL GIVE BRAINALIST!!!!
AB contains points (4, 2) and (−1, −8). What is the equation of the line parallel to AB that contains point (0, 5)?
9514 1404 393
Answer:
y = 2x +5
Step-by-step explanation:
We can use the slope formula to find the slope of AB, which is the same as the slope of the parallel line. Then, we can use the point-slope equation for a line to find the desired equation.
m = (y2 -y1)/(x2 -x1)
m = (-8 -2)/(-1 -4) = -10/-5 = 2
__
y -y1 = m(x -x1) . . point-slope form of equation for a line
y -5 = 2(x -0) . . . . fill in m=2, (x1, y1) = (0, 5)
y = 2x +5 . . . . . . . rearrange to slope-intercept form
Para abastecer o seu carro com 30 litros de gasóleo a Inês demorou 1 minuto e 40 segundos. Com a mesma mangueira, quanto tempo é necessário para encher um recipiente com a forma de um cone e uma semiesfera com 10 cm de raio e, o cone, com 10 cm de altura?
Answer:
hahdg duchy jejeurur y ed sethi. riruru. udhrhru. ueeh
2a+3b=5
b=a-5 help please
Answer:
2a + 3b = 5
b = a - 5
Step-by-step explanation:
2a + 3b = 5
b = a - 5
You can write this another way:
2a + 3(a-5) = 5 ( I added the second formula in the first one )
Now you gotta factor out:
2a + 3a - 15 = 5
Here im gonna do plus 15
2a + 3a = 20 ==> 5a = 20
Now if you divide by 5, you get: a = 4
Now you can fill in the second formula again
b = a - 5 (ill fill this in now)
b = 4 - 5 = -1
So, this makes:
a = 4 , b = -1
Answer:
a = -2
b = -7
Step-by-step explanation:
the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)
to begin, plug in a - 5 for b in the equation 2a + 3b = 5.
2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5
the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.
2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5
since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.
2a + 3a - 15 = 5 ⇒ 5a - 15 = 5
add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.
now your equation is 5a = -10.
divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.
therefore a = -2.
now plug in -2 for a in b = a - 5 in order to solve for b!
b = a - 5 ⇒ b = -2 - 5
subtract -2 - 5.
b = -2 - 5 ⇒ b = -7
therefore b = -7.
your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Multiply and simplify if possible.
√7x(√x−7√7)
Thank you lovely
Step-by-step explanation:
[tex] \sqrt{7x {}^{2} } - 7 \sqrt{49x} \\ \sqrt{7} x - 7 \times 7 \sqrt{x} \\ \sqrt{7} x - 49 \sqrt{x} [/tex]
