Answer:
3
Step-by-step explanation:
Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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Which statement best describes the relationship between inherited traits and genes
Answer:
options please
Step-by-step explanation:
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Write the DECIMAL and FRACTION for ALL THE SHADED SQUARES
Answer:
56/100=0.56
Step-by-step explanation:
Total box=100
shaded=56
A sample of 311 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. Urban Suburban Rural No college degree Two-year degree Four-year degree 34 42 22 35 21 22 16 34 16 Advanced degree 23 23 23 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree? Round your answer to two decimal places.
Answer: 0.07
Step-by-step explanation:
To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.
Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.
The total sample size is given as 311.
Therefore, the relative frequency can be calculated as:
Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)
= 21 / 311
≈ 0.0676
Rounded to two decimal places, the relative frequency is approximately 0.07.
Wheat grain is stored in a cylindrical silo of radius 10 metres and height 100 metres. when it is not full, a mechanism pours wheat grain into the silo so that the depth of grain is modelled by a cubic equation of the formd(t) = at^3 + bwhere d is measured in metres and t is in hours. There is already some wheat grain in the silo at a height of 7 metres. If the silo takes hours to fill, which are the correct values of a and b, expressed in their simplest form?O a = 7and b = 97/23O a = 97/23 and b =7O a = 31/9 and b = 7
The correct values of a and b, expressed in their simplest form is a = 7 and b = 97/23
An equation is a statement that shows the equality between two expressions. It contains an equal sign (=) and two sides that represent the same value.
To find the correct values of a and b, we need to use the given information about the silo's dimensions and the initial height of the grain. The radius of the silo is 10 meters and the height is 100 meters. The grain is initially at a height of 7 meters, so the remaining height that needs to be filled is
=> 100 - 7 = 93 meters.
Since we know that it takes hours to fill the silo, we can use this information to find the values of a and b. At the moment the silo is full, the depth of the grain is equal to the height of the silo, which is 100 meters. We can use this to form an equation:
d( ) = a³ + b = 100
We know that the total depth of the grain is the sum of the initial depth of 7 meters and the cubic equation that models the additional depth of the grain as more is poured into the silo. So we have:
d(t) = 7 + at³ + b
Now we can substitute this expression into the previous equation and solve for a and b:
7 + a³ + b = 100
a³ + b = 93
We have two unknowns, a and b, so we need another equation to solve for them. We can use the fact that the depth of the grain is zero when t is equal to the time it takes to fill the silo. This means that:
d( ) = 0 = 7 + a³ + b
Now we have two equations:
a³ + b = 93
a³ + b = -7
We can subtract the second equation from the first to eliminate b:
0 = 100
This is a contradiction, which means that there is no solution for a and b that satisfies the given conditions. Therefore, the answer is that there are no correct values of a and b expressed in their simplest form.
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By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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food concession owner in a mall sold 120 beef, vegetable and pork sliders in 7 days. 20% of the sliders sold were beef and 15% were vegetable. How many pork sliders were sold?
The number of pork sliders sold is given as follows:
24 pork sliders.
How to obtain the number of pork sliders sold?The number of pork sliders sold is obtained applying the proportions in the context of the problem.
The total number of pork sliders is given as follows:
120 pork sliders.
The percentage of pork sliders sold is given as follows:
20%. (proportion of 0.2).
Hence the amount sold is given as follows:
0.2 x 120 = 24 pork sliders.
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if the volume of a cube can be represented by a polynomial of degree 9, what is the degree of the polynomial that represents each side lenght
Answer:
Each side length of the cube will be a polynomial of degree 3.
10000 truncated to the hundreds
Answer: 10,000
Step-by-step explanation:
Can someone please help me with this question?!? I am so confused and I don't know how to answer it.
Use the graph of the function f to decide whether the value of the given quantity exists. If it does, find it. If not, explain why.
a. f(0)
b. lim f(x) x->0
c. f(2)
d.lim f(x) x->2
9514 1404 393
Answer:
a. f(0) = 1
b. DNE (does not exist)
c. DNE
d. lim = 3
Step-by-step explanation:
The function exists at a point if it is defined there. The function is defined anywhere on the solid line and at solid dots. It is not defined at open circles. So, the function is defined everywhere except (2, 3), which has an open circle.
The open circle at (0, 4) prevents the function from being doubly-defined at x=0, since it is already defined to be 1 at x=0.
This discussion tells you ...
f(0) = 1
f(2) does not exist. There is a "hole" in the function definition there.
__
The function has a limit at a point if approaching from the left and approaching from the right have you approaching that same point.
Consider the point (1, 2). The graph is a solid line through that point. Approaching from values less than x=1, we get to the same point (1, 2) as when we approach from values greater than x=1.
Similarly, consider the point (2, 3). Approaching from values of x less than 2, we get to the same point (2, 3) as when we approach from x-values greater than 2. The limit at x=2 is 3. The only difference from the previous case is that the function is not actually defined to be that value there.
__
Now consider what happens at x=0. When we approach from the left, we approach the point (0, 4). When we approach from the right, we approach the point (0, 1). These are different points. Because they are different coming from the left and from the right, we say "the limit as x→0 does not exist."
__
In summary, ...
a) f(0) = 1
b) lim x → 0 does not exist
c) f(2) does not exist
d) lim x → 2 = 3
_____
Additional comment
The significance of the function not being defined at a point where the limit exists, (2, 3), is that the function is not continuous there. This kind of discontinuity is called "removable", because we could make the function continuous at x=2 by defining f(2) = 3 (that is, "filling the hole").
Suppose X is a random variable with mean X and standard deviation oXSuppose Y is a random variable with mean Y and standard deviation oY. The mean of X + Y is: O a. MX+MY O b.uX/oX) + (Y /oY). O c. 1X+uY, but only if X and Y are independent.O d (uX/oX) + (Y/oY), but only if X and Y are independent.
The correct option regarding the mean of X + Y is given as follows:
a. MX+MY.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
Hence, when two variables are added, we can add their means, as we add all the observations and divide by the number of observations, considering the two variables.
This means that the correct option is given by option A.
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Steve bought two plain pages in 1/4 of a pepperoni pizza and I'll how much pizza did he buy
Answer:
he buys 2 pizzas
Step-by-step explanation:
hope it helps you
please mark me brainliest
The shaded parts of the models below each represent a fraction. What is the sum of the fractions? PLSSS HELPPP
Answer:
D
Step-by-step explanation:
That is the answer because the first grid is in hundredths, so if you turn it into fractions you need to count the shaded parts. so it is 42/100 for the first one. Now because the second one is not in hundreths but in tenths, you make it into hundredths by multiplying 10 this will make the 3/10 into 30/100. Now that is fixed you just need to add 42/100 and 30/100 together which is 72/100. That is your final answer. D
Two dice are rolled. What is the probability of getting a sum equals 5?
Probability = (Round to 4 decimal places)
HELP ITS DUE TMR PLEASE
Answer:
im pretty sure the answer is (-5,-7)?
Hey guys! Can u help me with these three questions?
1. i.
Show by using a truth table that [(p => r) ^ (q=> r) => [(p v q) => r] is a tautology.
ii. Prove by using algebraic method that p -> (p v q) is a tautology
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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A ladder is leaning against the side of a building and positioned such that the base of the ladder is 17 ft from the base of the building. If the
ladder reaches 23 ft above the ground, how long is the ladder. Round your answer to the nearest tenth
Answer:
The ladder is 28.6 feet long.
Step-by-step explanation:
Given that:
Length of base = 17 feet
Length above the ground = 23 feet
These forms two legs of right angled triangle.
The length of ladder will be the hypotenuse.
Using Pythagorean theorem;
\(a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818\)
Taking square root on both sides
\(\sqrt{c^2}=\sqrt{818}\\c=28.6\)
Hence,
The ladder is 28.6 feet long.
help please :(
57%=
Answer:
57 centimeters = 57 × 0.39370078740175 = 22.4409448819 inches.
57 inches is 144.78 centimeters.
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
What is always true about the net of a prism? O It contains 0 triangles. o It contains O or 2 triangles. olt contains 3 or more triangles. O It contains 4 or more triangles. HURRY ITS A TEST
Answer:
It contains 0 or 2 triangles.
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
A large game cube with a three inch side length is wrapped with shrink wrap. How many square centimeters of shrink wrap will be used to wrap ten game cubes?
Answer:
see below
Step-by-step explanation:
cube has 6 square faces so 6*s*s
s =3 in =3*2.54 cm = 7.62 cm
1 in = 2.54 cm
1 cube needs 6*7.62² = 348.3864 cm²
10 cubes = 10*348.3864 =3483.864 cm²
What is the area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches? 714 in² 6316 in² 4316 in² 3332 in²
Answer:
6 3/16 in²
Step-by-step explanation:
Area of rectangle = width x length
Given:
width = 2 3/4 in
length = 2 1/4 in
⇒ area = 2 3/4 × 2 1/4 = 11/4 × 9/4 = 99/16 = 6 3/16 in²
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
the surface area of the sphere is 105 square inches what is the volume of the sphere use 3.14 for pi
Answer:
The volume of the sphere is \(V\approx101.212 \:in^3\).
Step-by-step explanation:
A sphere is a 3-D figure in which all of the points in a plane are the same distance from a given point, the center of the sphere.
A sphere with radius r has a volume of
\(V=\frac{4}{3} \pi r^3\)
and a surface area of
\(S=4\pi r^2\)
To find the volume of the sphere we use the fact that the surface area of the sphere is 105 \(in^2\) and we use it to find the radius.
\(105=4\pi r^2\\\\4\left(\pi \right)r^2=105\\\\r^2=\frac{105}{4\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{105}{4\pi }},\:r=-\sqrt{\frac{105}{4\pi }}\)
The radius cannot be negative. Therefore,
\(r=\sqrt{\frac{105}{4\pi }}=\frac{\sqrt{105}\sqrt{\pi }}{2\pi }\approx 2.891 \:in\)
Now, that we know the radius we can find the volume
\(V=\frac{4}{3} \pi (2.891)^3=\frac{96.65053\dots \pi }{3}=\frac{303.63661\dots }{3}\approx101.212 \:in^3\)
For which triangle does the Pythagorean Theorem
express the relationship between the lengths of its three
sides?
A
B
C
D
Pythagorean theorem is represented by triangle B.
Which triangle express the relationships according to Pythagorean theorem?
In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:
r² = x² + y²
Where:
x, y - Legsr - Hypotenuse.Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.
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Select the correct answer.
Penny buys 3 bouquets of flowers for $3 each and 4 bouquets for $2 each. Which expression gives the total cost of the bouquets that Penny
buys?
Answer:
$17
Step-by-step explanation:
Multiply 3 and 3 + Multiply 4 and 2
3 x 3 = 9
4 x 2 = 8
Add them up --
Final Result = 9 + 8 = ($)17 in total, for the bouquets that Penny buys--
Hope you understand !
(iv) 123456
3. Find the sum of the place values of 5 in the following numbers:
(0) 3515
(II) 52105
(III) 61655
(iv) 52545
(v) 50005
(VI) 525250
(vil) 55348
(vill) 52756
Answer:
it should be 45,870
Step-by-step explanation:
8.) SAT CORNER: Gatsby leaves his dock and takes his
motorboat due east for 0.5 miles to pick up Daisy. Then,
they motor 1.2 miles north to a private island in the
middle of the sound. What is the straight-line distance,
in miles, from the island to Gatsby's dock?
The distance from the island to Gatsby's dock is 1.3 miles.
What is a Pythagoras theorem?A Pythagoras theorem is a principle that can be used to determine the unknown side of a right angled triangle when the other two sides are known.
Applying the Pythagoras theorem to the given question, let the distance from island to Gatsby's dock be represented by s. Then;
/Hyp/^2 = /Opp/^2 + /Adj/^2
s^2 = 1.2^2 + 0.5^2
= 1.44 + 0.25
= 1.69
s = 1.69^1/2
= 1.3
Thus, the straight-line distance from the island to Gatsby's dock is 1.3 miles.
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