The probability that there are no counts in a 30 second interval is 0.284
What is probability ?
Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Before we can determine the probability that a particular event will occur, we must first know the total number of outcomes.
Given that,
Assume that a Geiger counter records counts using a poisson process, with an average rate of 2 counts per minute.
0.284
P(X < 10 Seconds) = P(X<1/6 minutes) = F(1/6) = 1-e-2*1/6 = 1-e-1/3 = 0.284
Therefore, the probability that there will be no counts in a 30-second period is 0.284.
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If the plants grew 12 mm one season, how much rain fell?
The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant
The x axis represents the rainfall during the growing season and y axis represents the seasonal growth of a type of plant.
The point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm.
8 represent the x axis measurement and 6 represent the y axis measurements
When the plant grew 12 mm in one season, there were 16 mm rainfall
Hence, the point (8, 6) represents that when there was 8 cm rainfall the plant grew 6 mm. When the plant grew 12 mm in one season, there were 16 mm rainfall
The complete question is:
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point (8,6) represent? If the plants grew 12 mm one season, how much rain fell?
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Micah is making salsa at a factory using tomatoes
and onions in the ratio of 5:2. If the total volume
of salsa Micah makes is 147 cups, find the volume
of the tomatoes Micah uses.
Answer: 21 Tomatoes
Step-by-step explanation:
5 + 2 = 7
147 / 7 = 21
21 Tomatoes
The expansion of (2 px)^6 in ascending powers of x, as far as the term in x², is
64 + Ax + 135x²
Given that p > 0, find the value of p and the value of A.
Answer: [tex]x=\frac{-A+\left(A^2-34560\right)^{\frac{1}{2}}}{270},\:x=\frac{-A-\left(A^2-34560\right)^{\frac{1}{2}}}{270}[/tex]
Step-by-step explanation:
64+Ax+135x^2
135x^2+Ax+64=0
[tex]x_{1,\:2}=\frac{-A\pm \sqrt{A^2-4\cdot \:135\cdot \:64}}{2\cdot \:135}[/tex]
[tex]x_{1,\:2}=\frac{-A\pm \left(A^2-34560\right)^{\frac{1}{2}}}{2\cdot \:135}[/tex]
[tex]x_1=\frac{-A+\left(A^2-34560\right)^{\frac{1}{2}}}{2\cdot \:135},\:x_2=\frac{-A-\left(A^2-34560\right)^{\frac{1}{2}}}{2\cdot \:135}[/tex]
[tex]x=\frac{-A+\left(A^2-34560\right)^{\frac{1}{2}}}{270},\:x=\frac{-A-\left(A^2-34560\right)^{\frac{1}{2}}}{270}[/tex]
125 = 7m - 1 please answer
Answer:
m=18
Step-by-step explanation:
8 Here are the descriptions of two numbers.
The smallest multiple of 5 greater than 1000
The largest multiple of 9 with three digits
Work out the difference between these two numbers.
The length of the base of an isosceles triangle is x. The length of a leg is 4x-4. The perimeter of the triangle is 37. Find x.
Answer:
x = 9
Step-by-step explanation:
According to the question,
Perimeter of an isosceles triangle = 37
Length of the base = x
Length of one leg = 4x - 4
As it is an isosceles triangle so length of the other leg will also be 4x - 4.
Perimeter of triangle is equal to sum of all the lengths of the triangle.
[tex] \therefore [/tex]
[tex] \rm \implies Length \: of \: base + Length \: of \: one \: leg + Length \: of \: other \: leg = 37
\\ \\ \rm \implies x + 4x - 4 + 4x - 4 = 37
\\ \\ \rm \implies 9x - 8 = 37 \\ \\ \rm \implies 9x = 37 + 8 \\ \\ \rm \implies 9x = 45 \\ \\ \rm \implies x = \frac{45}{9} \\ \\ \rm \implies x = 5
[/tex]
Sophie has bought some plants 36 violas 54 sweet peas and 72 fuchsias she wants to plant them in pots so that there is one type of plant in each pot and each pot has the same number of plants in it what is the maximum number of plants she could have in each pot
The maximum number of plants Sophie can have in each pot is 18.
Highest Common factor:
The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
Here it is given that Sophie plants 36 violas, 54 sweet peas, and 72 fuchsias. She wants to plant them in pots.
So we have to find the maximum number of plants she could have in each pot.
For that, we have to find the Highest common factor of the given different-different plant she has.
HCF of 36, 54, 72 = 18
So the maximum number of plants she can pot is 18.
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A seamstress usually sews 55 pieces per day. on a certain day,
she sews 77 pieces. what is the percent increase in the number
of pieces she sews on that day?
The percentage increase in the number of pieces she saws on that day is 40%.
Here it is given that a seamstress sews 55 pieces per day.
But on a certain day, 77 pieces were sewn.
We have to find the percentage increase in the number of pieces she sews on that day.
So first we have to find the increase in the number of pieces she sews.
Increase in the number = 77 - 55
= 22
The original number per day = 55
Formula to find the percentage increase in the number.
Percentage increase = Increase in number/ original number × 100
Now putting the values in the equation:
Percentage increase = 22 / 55 × 100
= 2/5 × 100
= 40%
Therefore there is a 40% increase in the number of pieces.
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Hi if someone could help me I would be very grateful.
I submitted a photo of the questions
Answer:
5/12
6/15
10/18
Step-by-step explanation:
Can anyone write the equation of the graph?
The equation of the absolute value function graph is: y = |x - 3| + 5.
How to Write the Equation of the Graph of Absolute Value Function?The equation, y = a|x – h| + k, represents the equation of an absolute value function in the vertex form, where:
(h, k) = vertex of the graph a = determines if the graph opens up or opens down.h = horizontal translation factor (this determines how far left or right the parent function is translated)k = vertical translation factor (this determines how far up or down the parent function is translated)We are given the following from the graph:
Vertex (h, k) = (3, 5)
Plug in the values of h and k into the equation, y = a|x – h| + k:
y = a|x - 3| + 5
A point on the graph is (5, 7). Find the value of a by substituting (x, y) = (5, 7) into y = a|x - 3| + 5:
7 = a|5 - 3| + 5
7 = a|2| + 5
7 = 2a + 5
7 - 5 = 2a
2 = 2a
2/2 = 2a/2
1 = a
a = 1
Write the equation of the absolute function graph by substituting a = 1 into y = a|x - 3| + 5:
y = |x - 3| + 5
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Write the equation of the
line that is perpendicular to
y = -7/5x + 1 and goes
through (5, 3)
A) y= 7/5x-4/7
B) y= -7/5x-4/7
C) y= 5/7x-3/7
D) y= 5/7x-4/7
E) y= 1/7x+3
Answer:
Step-by-step explanation:
The answer is D.
The rule for perpendicular lines is that the slope will be the negative reciprocal. Because this equation is in slope-intercept form, the coefficient of x is the slope. -7/5 becomes 5/7. Our new equation is y=5/7x+b. Plugging in (5,3), we see that b is equal to -4/7. Our equation is then y=5/7x-4/7
2x^2 + y^2 = 19
x + 3y = 0
Answer:
(-3,1) & (3, -1)
Step-by-step explanation:
Solving quadratic equation and linear equation:
2x² + y² = 19 -----------------(I)
x + 3y = 0 -----------------(II)
x = -3y --------------(III)
Substitute x = -3y in equation (I) and we can find the value of y.
2(-3y)² + y² = 19
2*9y² + y² = 19
18y² + y² = 19
Combine like terms,
19y² = 19
y² = 19 ÷ 19
y² = 1
y = √1
y = ±1
Substitute y = ±1 in equation (III) and find the value of x.
When y = 1,
x = -3*1
x = -3
When y = -1,
x = -3*(-1)
x = 3
Solutions: (-3, 1) ; (3, -1)
A bakery sells 4 dozen cupcakes every 3 hours. If the bakery is open 8 hours each day, how many days does it take to sell 640 cupcakes?
5 days does it take to sell 640 cupcakes.
Given:
A bakery sells 4 dozen cupcakes every 3 hours.
If the bakery is open 8 hours each day.
4 dozen cupcakes = 4*12 cupcakes
= 48 cupcakes
48 cupcakes = 3 hours
divide by 3 on both sides
3hours/3 = 48/3 cupcakes
1 hour = 16 cupcakes
Number of cupcakes for 8 hours = 8 * 16 = 128 cupcakes.
128 cupcakes sells in one day.
To sell 640 cupcakes = 640/128
= 5 days.
Therefore 5 days does it take to sell 640 cupcakes.
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In quadrilateral BADC, AB=AD and BC=DC. Which of the following contains only true statements?
Answer:
abad
Step-by-step explanation:
For each sequence that is neither arithmetic nor geometric, how can you change a
single number to make it an arithmetic sequence? A geometric sequence?
If the common difference between every term in a sequence is the same, the sequence is arithmetic. If all of the terms in a sequence have the same common ratio, the sequence is geometric.
Take a look at the sequence 2,4,6,8, and note how each new term is created by adding a constant term, in this case 2, to the one before it.
For instance, the number 4 is created by adding 2 to the previous phrase, in this case the number 2.
Similar to how 2 + 4 = 6, another number is obtained by adding 2 to 4.
As a result, the sequence is arithmetic since there is a common difference between the sequences, which in this case is 2.
Take the numbers 3, 6, 12, etc.
Keep in mind that the ratio of the following and preceding terms is the same (6/3=2 and 12/6=2).
Such a sequence is referred to as a geometric sequence, and the constant ratio is known as the common ratio of the sequence and is typically indicated by the symbol r.
What is arithmetic sequence?
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
What is geometric sequence?
Every term in a geometric series is obtained by multiplying the term before it by the same number.
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Can you find the measure of the indicated angle and type the correct code? Please remember to type in ALL CAPS with no spaces,
Answer:
hey I need this answer and puzzle 4 and 5 you got these things?
Step-by-step explanation:
please
The measure of angles A, B , C and D°are 36°, 63°, 71° and 111° respectively
How to determine the measure of the indicated angle?
To find the measure of angles of A, B, C and D, you need to apply some of the angle geometry concepts as follows:
1. m<A
(x+24)° and A = 3x
Since alternate angles are equal, thus:
3x° = (x+24)°
3x -x = 24
2x = 24
x =24/2 = 12
Also, A = 3x = 3(12) = 36°
2. m<B
B = 10x-27 and 7x
Since corresponding angles are equal, thus:
10x -27 = 7x
10x -7x = 27
3x = 27
x = 27/3 = 9
Also, B = 10x -27 = 10(9) -27 = 90-27 = 63°
3. m<C
C = (5x+1)° and (6x-13)°
Since corresponding angles are equal, thus:
(5x+1)° = (6x-13)°
6x -5x = 13+1
x = 14
Also, C = 5x+1 = 5(14) + 1 = 70+1 = 71°
4. m<D
(6x+3)° and D = (4x+39)°
Since alternate angles are equal, thus:
6x+3 = 4x+39
6x-4x = 39-3
2x=36
x = 36/2 =18
Also, D = 4x+39 = 4(18) + 39 = 72+39 = 111°
Therefore, the m<A = 36°, m<B = 63°, m<C = 71° and m<D =111°. Since B, A, H and E correspond to m<A, m<B, m<C and m<D respectively, so type BAHE in the answer box
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guys i seriously need help with this one
The option(1) that is g(1) is 3 is True and remaining are false.
Explain the function by its graph?Function of a variable is when a change in one is accompanied by a change in the other. The graph's x-axis denotes the function's domain, and the y-axis its range.
What kinds of functions can you find on a graph?Eight distinct types of regularly used functions correspond to eight distinct types of function graphs. They include linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal function graphs.
According to given data in the question:we have,
g(x) = f(x - 3)
The value of g(1) is 3As graph in question,
g(1) = f(1-3) = f(-2) = 3
This option is true.
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In the figure below, lines m and n are parallel.
What is the value of x?
OA. 30
B. 35
OC. 45
OD. 40
m-
n+
(4x + 5)°
xo
Answer:
B. 35
Step-by-step explanation:
Because lines m and n are parallel, we know that x+(4x+5)=180.
So all you have to do is simplify.
x+(4x+5)=180
5x+5=180
5x=175
x=35
So the only possible value of x is 35
Patricia’s brother Kevin likes his lemonade. Best way to use a ratio of 3 tablespoons of lemon juice to 24 ounces of water. Does Kevin favorite lemonade juice taste the same as Patricia
Kevin favorite lemonade juice can't taste the same as Patricia's.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
1 table spoon = 0.5 ounce
Therefore, 24 ounces will be:
= 24 × 0.5
= 12 tablespoon
In this case, they have different tablespoon and therefore won't have same taste.
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What is an equation of the line that passes through the points (4, -2) and (2, 3)
The slope-Intercept form of the given line is y=1.5x.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is y-intercept.
The given line passes through (4, -2) and (2, 3). Therefore, the slope of the given line can be written as,
Slope of the line, m = (-2 - 3)/(4 - 2)
= 3 / 2
= 1.5
Now, the equation of the line passing through (2, 3) can be written as,
y = mx + c
(3) = 1.5(2) + C
3 = 3 + C
3 - 3 = C
C = 0
Substitute all the value in the equation of the line,
y = m(x) + c
y = 1.5(x) + 0
y = 1.5x
Hence, the equation of the given line is y=1.5x .
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Simplify. (x+1)+(x-2)(x+3)
show all work
The age distribution of a population is shown. a. The probability that a person chosen at random is at least 15 years old is %. b. The probability that a person chosen at random is 25−44 years old is %.
Answer is :
The chosen at random is 25 - 44 years old is = 26 %.
Probability determines how likely it is that a stated event would
occur. This event would occur. This probability lies between 0 and 1.
The probability that a person chosen at random is at least
15 years = sum of percentages of people at least 15 years old :
14 + 13 + 13 + 15 + 12 + 13 = 80%
the probability that a person chosen at random is 25 - 44 years old :
13% + 13% = 26%
Therefore The probability is 26%.
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Write a function rule for the table. x ƒ(x) –3 –6 –2 –4 –1 –2 0 0 ƒ(x) = x + 2 ƒ(x) = –2x ƒ(x) = x – 2 ƒ(x) = 2x
A function rule for the table: f(x) = 2x
In this question, we have been given a table.
We need to write a function rule for the table.
x ƒ(x)
-3 -6
-2 -4
-1 -2
0 0
We can observe that f(x) = 2x
Therefore, a function rule for the table: f(x) = 2x
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CAN SOMEONE HELP ME
Michael has v sweets.
Lily has 5 more sweets than Michael.
James has 8 more sweets than Lily.
They have 75 sweets altogether.
what is the number of sweets Michael has.
Answer:
Michael has 19 sweets
Step-by-step explanation:
19+24+32 = 75
Lilly has: 24
James has: 32
don't need explanation just the answer
The function, changes from f(x) = (3x)³ - 8 to g(x) = (9x)³ - 8 when it is dilated, the statementr which best describes the graph is, the graph is streched towards the x axis by a factor of 1/3
When an object is dilated the image formed is larger or smaller, but there is a difference in the size of the shape.
the rule of function change f(x) = (3x)³ - 8 to g(x) = (9x)³ - 8
3x = 9xk
k = 1/3
Therefore, the function, changes from f(x) = (3x)³ - 8 to g(x) = (9x)³ - 8 when it is dilated, the statement which best describes the graph is, the graph is streched towards the x axis by a factor of 1/3
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I NEED HELP ASAP PLS I NEED TO FINISH MY OTHER ASSIGMENTS TYSM
The value of x by setting up equation is 16.
Given in question,
∠VZW = (2x + 32)°
∠RZY = (3x + 16)°
∠VZW = ∠RZY
2x + 32 = 3x + 16
2x - 3x = 16 - 32
-x = -16
x = 16
Hence, x = 16.
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what if n is negative what is the value of the equation below n(2)+8 divided by 4 = 11
If n is negative the value of the equation that we have below would be -18
How to solve the equationWe have to rewrite the equation in a way that it would be easier to understand first.
[tex]\frac{-2n+8}{4} =11[/tex]
Next we would have to cross multiply
this would give us
-2n + 8 = 11 * 4
-2n + 8 = 44
take the like terms
-2n = 44 - 8
-2n = 36
divide through by -2 from the above
-2n / -2 = 36 / -2
n = - 18
Therefore given that we have that the value of the equation after n is negative is -18.
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what is this asap
x=6+29
Answer:
x=35
Step-by-step explanation:
29+6=35
btw are you sure that you are in highschool???
Answer:
35
Step-by-step explanation:
29+6 is 35 u sure in high school?
Trevor and Michael are hosting a banquet. They plan to spend $400, plus or minus $50, at a cost of $25 per guest. Solve |25x-400| = 50 to find the maximum and minimum number of guests. If there can be up to 7 guests at each table, what is the minimum number of tables Trevor and Michael should reserve so that every guest has a seat?
Answer:
to find the max number of guests:
25x-400 = 50
25x = 50 + 400
25x + 450
then divide
x = 450/25
x = 18
to find the min number of guests:
25x = 400 - 50
25x = 350
then divide
x = 350/25
x = 14
Minimum number of tables reserved:
is dividing the max/7 per table
x = 18/7
x = 3
Step-by-step explanation:
5) Can you give some real world examples (at least two for each) of positive and negative slope?
The positive slope is tilted towards the right on a coordinate plane and the negative slope is tilted towards the left on the coordinate plane.
What is the positive and negative slope?When two variables have a positive slope, it means that they are positively correlated; that is, when x rises, y rises as well, and when x falls, y falls as well. A line on a line graph that has a positive slope rises as the line advances from left to right.
A line that slopes downward from left to right is said to have a negative slope. In other words, the rise-to-run ratio of the line is negative.
The graph of the two real-life situations is attached with the answer below. In which the equation y = 4x means that the value of y is increasing by 4. Similarly, the equation for negative slope is y = -4x means that the value of y is increasing in opposite direction by factor 4.
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