Given data:
The total numbbers of bulbs are n=13.
The expression for the probability that gardener plants 6 yellow bulbs is,
\(\begin{gathered} P=\frac{6}{13}\times\frac{5}{12}\times\frac{4}{11}\times\frac{3}{10}\times\frac{2}{9}\times\frac{1}{8} \\ =\frac{1}{13\times11\times3\times4} \\ =\frac{1}{1716} \end{gathered}\)Thus, the probability that gardener plants 6 yellow bulbs is 1/1716.
What is the relation between the variables in the equation
a. varies inversely as y
b.
varies directly as y
COA
OB
Please select the best answer from the choices provided
CD
с
OD
Mark this and return
c.
d.
4
y
7?
y varies directly as x*
y varies inversely as ¹
Save and Exit
Next
Submit
Answer:
The correct answer is:
c. If a varies inversely as y, then as y increases, a decreases.
d. If a varies directly as y, then as y increases, a also increases.
For the given equation "y varies directly as x" and "y varies inversely as z," we can infer that as x increases, y also increases and as z increases, y decreases.
Four friends went to a drive-in diner for milkshakes. They each paid $4.41 for their milkshake, including a 5% sales tax. What was the total cost of the milkshakes before tax was added?
Answer:
17.64 easy math
Step-by-step explanation:
HELPP
You want to enclose a rectangular region with an area of
1200 square feet and a length of 40 feet, 50 feet, or 60 feet.
Find the perimeter for each possible region. Explain why
you might rewrite the area formula to find the solutions.
The possible perimeters are 140 feet, 148 feet and 160 feet.
In order to determine the width that would be used to determine the possible perimeters, the formula for the area would have to be rewritten.
What are the possible perimeters?A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals that bisect each other at right angles.
Area of a rectangle = length x width
Width = area / length
1200 / 40 = 30 feet
1200 / 50 = 24 feet
1200 / 60 = 20 feet
Perimeter of a rectangle = 2 x (length + width)
Perimeter when width is 30 feet : 2(40 + 30) = 140 feet
Perimeter when width is 24 feet : 2(24 + 50) = 148 feet
Perimeter when width is 20 feet : 2 (20 + 60) = 160 feet
To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029
#SPJ1
Find the common difference of the sequence 4, 12, 20, ....
8
In this pattern, we have 4 12 then 20.
We can see that the difference 4 and 12 is 8.
Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.
What is the concentration of hydrogen ions in a solution with a pH of 2?
When pH is 2, the hydrogen ion concentration in \(litre^{-1}\) is \(10^{-2}\)
What is pH?The pH value of water indicates how acidic or basic it is. The negative log of the hydrogen ion concentration is defined as pH. The pH scale starts from 0 and ends at 14. A pH of 7 is considered neutral because pure water has a pH of exactly 7. Acidic values are less than 7; basic or alkaline values are greater than 7.
Given that,
pH = 2 for HCl acid
We know that,
The relation between concentration of acid and pH is,
pH = -log[\(H^{+}\)]
2 = -log[\(H^{+}\)]
\([H^{+} ]\) = \(10^{-2}\)
Hence, the hydrogen ion concentration in a solution with a pH of 2 is \(10^{-2}\).
To know more about pH, visit:
https://brainly.com/question/13904710
#SPJ13
A store manager order 28 crates of mangoes there were thirty-six mangoes and each crate when the mangoes were delivered he sold the right mangoes and repack the rest equally into 73 boxes they were 12 mangoes in each box how many right angles are sold show your work and explain your reasoning
I need help with the second part
The probability that each bill is a $1 bill is given as follows:
1/16.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.
Hence the probability that each bill is a $1 bill is obtained as follows:
p = 1/4 x 1/4
p = 1/16.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
2.
-6
5
-2
-1
2
0
-5
3
5
Vertex (give me the x and y coordinate):
Max or Min?:
Domain:
Range:
Zeroes (just tell me how many):
Axis of Symmetry:
Y-Intercept:
TE
In a square, what is the relationship between the length of a side and the area?
A. proportional
B. cannot be determined
c. non proportional
d. ratio
The relationship between the length of a side and the area is non proportional. so option C is correct.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In a square, we need to find the relationship between the length of a side and the area.
The answer is non proportional because the side length is x, so is the other side lengths.
The side lengths are all equal and to find area you do x squared or x times x.
So they are not proportional because there will be different numbers for each.
For example. X= 2, area ( x squared ) is 4.
Hence, The relationship between the length of a side and the area is non proportional. so option C is correct.
More can be learned about proportions at;
brainly.com/question/24372153
#SPJ2
What number should be placed in the box to help complete the division calculation?
Long division setup showing an incomplete calculation. 17 is in the divisor, 2635 is in the dividend, and 1 hundreds and 5 tens is written in the quotient. 1700 is subtracted from 2635 to give 935. An unknown value represented by a box is being subtracted from 935.
Numerical Answers Expected!
Answer for Blank 1:
Answer: Long division setup showing an incomplete calculation. 17 is in the divisor, 2635 is in the dividend, and 1 hundreds and 5 tens is written in the quotient. 1700 is ... An unknown value represented by a box is being subtracted from 935. ... In a division sum, the quotient, dividend and remainder are 15, 940 and 25 respectively.
Answer:
780
Step-by-step explanation:
What is the equation of a line perpendicular to y= 3/4x +12 that passes through (12, 3)
Answer:
y=-4/3x-9
=
−
4
3
x
−
9
Step-by-step explanation:
First we need to get the slope of the perpendicular line
The slope of a perpendicular line is equal to the negative inverse of the slope of the given line
y
=
m
x
+
b
y
=
3
4
x
−
2
⇒
m
=
3
4
m
'
=
−
1
m
⇒
m
'
=
−
1
3
4
⇒
m
'
=
−
4
3
Now that we have the slope, we need to find the y-intercept.
To find the y-intercept, we need to plug-in values of
x
and
y
that the line passes through
y
'
=
m
'
x
'
+
b
⇒
y
'
=
−
4
3
x
'
+
b
⇒
7
=
−
4
3
(
−
12
)
+
b
⇒
7
=
16
+
b
⇒
b
=
−
9
Therefore, the equation of the line is
y
=
−
4
3
x
−
9
6 x 0.5 Explain throughly on how to solve thisUse words if you need to, please do it step-by-step as I would like you to clarify in how to solve
Given the expression:
\(6\times0.5\)We have one decimal number in total.
To solve it:
• First, remove the decimal point:
\(6\times5\)• Then, solve the multiplication:
\(6\times5=30\)• Finally, add ,one, decimal number to the final expression:
\(6\times0.5=3.0\)ANSWER
3.0
2 cities are 210 miles apart. If the distance on the map is 3 1/4 inches, find the scale of the map
The scale of the map = 682.5.
How would you define distance in one sentence?We kept a safe distance and followed them. She perceives a separation between her and her brother that wasn't there before. Although they were previously close friends, there was now a great deal of gap between them.
We must calculate the ratio of the distance shown on the map to the real distance between the cities in order to ascertain the scale of the map.
We are aware that there are 210 miles separating the two cities. Let x represent the precise location of this distance on the map. From that, we may establish the ratio:
Actual distance / Map Distance = 210 / x
The distance on the map is indicated as 3 1/4 inches, which is also known as 13/4 inches. When we enter this into the percentage, we obtain:
Actual distance divided by (13/4) = 210 / x
We can cross-multiply and simplify to find x's value:
Actual distance: 682.5 = x * 210 x = 3.25 when 210 * (13/4) Equals x.
Consequently, 3.25 inches on the map represent the actual distance between the cities. We can write: To determine the map's scale:
Actual distance divided by 1 inch on the chart equals 210 miles.
When we replace the values we discovered earlier, we obtain:
1 / 210 = 3.25 / scale
If we solve for the scale, we obtain:
scale = 682.5.
To know more about Distance visit:
brainly.com/question/15256256
#SPJ1
find the square root of 7
The value of the square root of 7 is,
⇒ √7 = 2.645
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
WE have to given that;
To find the value of the square root of 7 .
Since, the square root of 7 is,
⇒ √ 7
⇒ 2.645
Thus, The value of the square root of 7 is,
⇒ √7 = 2.645
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ5
What is the answer of this triangle congruence question.
The value of x in the triangles are 9.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The triangles are congruent.
That means, their corresponding angles are also congruent.
In ΔJKL,
the sum of all the angles of the triangle is 180°.
So,
x²-2x + x + 29 + 3x + 52 = 180
x² + 2x - 99 = 0
Solving the quadratic equation,
x² +11x - 9x - 99 = 0.
x (x + 11) -9 (x + 11) = 0
x = 9 and x = -11
Here, we take x = 9.
Therefore, the value of x is 9.
To learn more about the quadratic equation;
https://brainly.com/question/17177510
#SPJ1
to determine that a item is not in an unordered array of 100 items, how many values must linear search examine on average? a) 7 b) 10 c) 100
To determine that an item is not in an unordered array of 100 items, total numbers of values which have to linear search examine on average is 100. The correct answer is C.
What is Linear Search?Linear Search is described as a sequential search algorithm which starts at one end and goes through each element of a list until the needed element is found, otherwise the search continues till the end of the data set. This is the simplest searching algorithm.
Starting at the beginning of the data set, each item of data is examined until a match is made. Once the item is found, the search ends.
Hence, in this case, since there are 100 items, then there will be 100 numbers of values.
Learn more about linear search at: https://brainly.com/question/15178888
#SPJ4
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
Learn more about transversal:https://brainly.com/question/17987539
#SPJ1
Which of the following is the graph of y=-(x-2)9 - 5?
Answer:
slope: -9
y-int: 13
Step-by-step explanation:
Answer:
Check the attachment below!
Which of the following is the equation of the inequality shown below
Answer:
2
Step-by-step explanation:
the line is solid
solid lines are for symbols like this "≤"
Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of a and b to Cylinders P and Q. Explain your reasoning. height in centimeters b volume in milliliters P
To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.
Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.
The reasoning behind this is as follows:
Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.
Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.
In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.
For more questions on area, click on:
https://brainly.com/question/22972014
#SPJ8
Which equation is correct?
cos x° = adjacent ÷ hypotenuse
tan x° = hypotenuse ÷ adjacent
cos x° = hypotenuse ÷ adjacent
tan x° = adjacent ÷ hypotenuse
Answer:
cos x° = adjacent ÷ hypotenuse
Step-by-step explanation:
Option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have given trigonometric ratios in the options.
As we know the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
In the right angle triangle (It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base)
cos is the ratio of the side adjacent to the angle to the hypotenuse
cos x° = adjacent ÷ hypotenuse
tan is the ratio of the side opposite to the angle to the side adjacent to the angle.
tan x° = opposite ÷ adjacent
Thus, option (A) cos x° = adjacent ÷ hypotenuse is correct because cos is the ratio of the side adjacent to the angle to the hypotenuse option (A) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ5
Find the approximate radius of a circle with a
circumference of 41.78 centimeters.
Answer:
radius=6.65cm
Step-by-step explanation:
circumference=41.78cm
2×22\7×r=41.78cm
r=41.78×7\44
r=6.65cm
Write an explicit formula for an, the nth
term of the sequence 75, -15, 3, ....
Step-by-step explanation:
The sequence is geometric as the ratio between consecutive terms is common:
3/-15 = - 1/5-15/75 = - 1/5The first term is:
t₁ = 75r = - 1/5The explicit formula is:
tₙ = t₁rⁿ⁻¹Substitute values of the first term and common ratio to get:
tₙ = 75*(- 1/5)ⁿ⁻¹I need another answer
Answer:
20/z thats the answer I hope u understand
Find the value of x. Write your answer in simplest form.
x =
Answer:
x = 7
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(30°) = x/14
x = 14·sin(30°) = 14·0.5 . . . . . multiply by 14 and evaluate
x = 7
_____
Additional comment
The triangle shown is a 30°-60°-90° triangle. The ratios of sides, shortest-to-longest, are ...
1 : √3 : 2
As we have seen here, the shortest side is 1/2 the length of the longest side, so x = 14/2 = 7.
This triangle and these ratios show up often, so it can be worthwhile to remember these ratios.
Select all correct answers Please emergency!!!!
Solve for x.
9x + 1 = 7x - 8x + 4
Therefore, the answer is 3/10.
Hoped this helped.
\(BrainiacUser1357\)
Answer:
9x + 1 = 7x - 8x + 4
9x + 1 = -x + 4
9x + 1 - 1 = -x + 4 - 1
9x = -x + 3
9x + x = -x + 3 + x
10x = 3
x = 3/10
Apollo110find answers to 13, 15, and 16 (will mark brainliest)
I WILL GIVE BRAINLEST
find the area of the composite figure (round to the nearest hundredth) A) 35.26. B) 41.70. C) 41.86. D) 48.46
Answer:
41.86 is the right answer
Step-by-step explanation:
Find the length of x. Round to the nearest hundredth.
Answer:
the answer is nine ,but I don't know it to the nearest hundredth