Jill's speed should be 30 kilometers per hour.
What is speed?The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is a scalar quantity and does not require any direction to represent it.
Given that Jill is 90 km away from Joe. If it takes her 3 hours to drive to Joe's house.
Speed = Distance / Time
Put the value of distance and the time taken in the formula.
Speed = 90 / 3
Speed = 30 Km/ Hour
Therefore, Jill's speed should be 30 kilometers per hour.
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please help!!!!! math functions
Answer:
A and C
Step-by-step explanation:
For every x value, there should be at most 1 y value.
B and D violate that constraint.
The top five test scores in Mr. Rhodes’s class were: 98, 92, 96, 97, and 97. What is the mean absolute deviation?
Answer:
A
Step-by-step explanation:
Which rule maps figure 1 onto figure 2
Answer:
Step-by-step explanation:
help me please???????
Answer:
Drag -1.6 in between -1.5 and -2 on the left/ negative side of the number line.
The weights of individual packages of candies vary somewhat. Suppose that package weights are
normally distributed with a mean of 49.8 grams and a standard deviation of 1.2 grams.
a. Find the probability that a randomly selected package weighs between 48 and 50 grams.
b. Find the probability that a randomly selected package weighs more than 51 grams.
c. Find a value of k for which the probability that a randomly selected package weighs more than k
grams is 0.05.
(a) The probability that a randomly selected package weighs between 48 and 50 grams is 0.5596.
(b) The probability that a randomly selected package weighs more than 51 grams is 0.1587.
(c) we can solve for k using the formula z = (k - μ) / σ: 1.645 = (k - 49.8) / 1.2
What is probability?
Probability is a measure of the likelihood of an event occurring.
a. To find the probability that a randomly selected package weighs between 48 and 50 grams, we need to calculate the area under the normal curve between these two values.
We can standardize the values using the formula z = (x - μ) / σ, where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
For x = 48, z = (48 - 49.8) / 1.2 = -1.5
For x = 50, z = (50 - 49.8) / 1.2 = 0.1667
Using a standard normal distribution table or a calculator, we can find the area under the curve between z = -1.5 and z = 0.1667 to be approximately 0.5596.
Therefore, the probability that a randomly selected package weighs between 48 and 50 grams is 0.5596.
b. To find the probability that a randomly selected package weighs more than 51 grams, we need to calculate the area under the normal curve to the right of 51.
Again, we can standardize using z = (x - μ) / σ, where x = 51, μ = 49.8, and σ = 1.2.
z = (51 - 49.8) / 1.2 = 1
Using a standard normal distribution table or a calculator, we can find the area under the curve to the right of z = 1 to be approximately 0.1587.
Therefore, the probability that a randomly selected package weighs more than 51 grams is 0.1587.
c. To find the value of k for which the probability that a randomly selected package weighs more than k grams is 0.05, we need to find the z-score that corresponds to the area to the right of k being 0.05.
Using a standard normal distribution table or a calculator, we can find that the z-score for an area of 0.05 to the right of it is approximately 1.645.
Therefore, we can solve for k using the formula z = (k - μ) / σ:
1.645 = (k - 49.8) / 1.2
Solving for k, we get:
k = 1.645(1.2) + 49.8 ≈ 51.02
So the value of k for which the probability that a randomly selected package weighs more than k grams is 0.05 is approximately 51.02 grams.
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A line passes through the points (0, -2) and (3, 4). Find the slope of the line.
Can somebody PLEASE help me? It’s due today.
Click on the image to see the answers.
Answer:
I don't care for the points
Step-by-step explanation:
The answer is the last one
Given:
R is the midpoint of QS
Prove: PRQ = TRS
Answer:
Step-by-step explanation: Hello!
I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent. This also means that line segments PQ and ST are congruent. You also know that angles Q and S are congruent which is given. By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.
help please!!!!!!!!!!!!!!
Answer:
x = 42,33°
Step-by-step explanation:
3x + 1° + 52° = 180° [angles on a straight line]
3x + 53° = 180°
3x = 180° - 53°
3x = 127°
divide both sides by 3
x = 42,33°
In triangle ABC, m∠B = (4x − 15)° and the measure of the exterior angle to ∠B is (14x − 21)°. Find m∠B.
12°
32°
33°
36°
Applying the definition of exterior angle, the measure of angle B is: c. 33°
What is the Exterior Angle of a Triangle?When a side of a triangle is extended through an interior angle, the angle formed is called the exterior angle of a triangle.
The angle to the exterior angle of the triangle, when added to the exterior angle will have a sum of 180 degrees, which means their supplementary angles.
Therefore:
4x - 15 + 14x - 21 = 180
4x + 14x - 15 - 21 = 180
18x - 36 = 180
18x = 180 + 36
18x = 216
18x/18 = 216/18
x = 12
m∠B = 4x - 15 = 4(12) - 15 = 33°
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Answer:
its B. 33
Step-by-step explanation:
Choose an appropriate scale for each axis and plot the following points on the grid provided (20,0) (-8,4) (12,-12) (0,-16) one unit on the x-axis equals , one unit on the y-axis equals
The first thing we have to do is identify the maximum and minimum values for x and y:
• x-max = 20
,• x-min = -8
• y-max = 4
,• y- min = -16
The second thing to take into account is how many separations our grid has in x and y
• In this case, it has 5 separations on both sides for both the x-axis and the y-axis.
We look for the furthest value from each of the axes and divide it into 5 to see how much the separation between them should be:
• x-Axis
\(\frac{20}{5}=4\)• y-Axis
\(\frac{16}{5}=3.2\approx4\)Then each of our separations will be worth 4 for both the x-axis and the y-axis. and we proceed to graph our points
What’s the shortest side’s in triangle ABC?
A) AB
B) AC
C) BC
Answer:
C
Step-by-step explanation:
first , calculate the measure of ∠ A
the sum of the 3 angles in a triangle = 180° , that is
∠ A + 80° + 60° = 180°
∠ A + 140° = 180° ( subtract 140° from both sides )
∠ A = 40°
the shortest side in the triangle is the side opposite the smallest angle in the triangle.
the smallest angle is ∠ A = 40° , then
the shortest side is the side opposite ∠ A , that is BC
A certain music box has the shape of a cube. Each side of the music bos is 15 cm long. What is the surface area of the box
The music box has a surface area of 1350 square cm.
A cube has six square faces that are all the same size. The length of each side of the cube is given as 15 cm. Therefore, the surface area of the cube can be found by calculating the area of one square face and then multiplying it by 6:
Area of one square face = (15 cm) x (15 cm) = 225 square cm
The surface area of the cube = 6 x (Area of one square face)
= 6 x 225 square cm
= 1350 square cm
As a result, the music box has a surface area of 1350 square cm.
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How do you find all possible lengths for the third side of a triangle?
The difference of two sides should be less than third side and third side should be less than sum of two sides.
What is a Traingle ?
A triangle is a 3-sided polygon that includes three edges and 3 vertices. The maximum vital belongings of a triangle is that the sum of the inner angles of a triangle is same to one hundred eighty degrees.
The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
Hence, difference of two sides should be less than x and x should be less than sum of two sides, which possibly gives us the appropriate length
where x is a third side.
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Which are the four main benefits of group work?
Accountability is something we should all practice. Obtain encouragement from others to take chances and social support. Create fresh strategies for settling disputes. Together with the other group members, forge a common identity.
What are the 4 types of group work?The most popular and extensively studied group work styles include team-based learning, collaborative learning, cooperative learning, and problem-based learning (commonly abbreviated as PBL) (also known by its initials TBL).
Through the use of roles within groups, group work provides students with the chance to practice process skills that are essential for processing information, evaluating, and solving problems, as well as management skills through the use of roles within groups, and assessment skills involved in assessing options to make decisions about their group's final answer.
The major distinguishing feature of group contact, according to Cragon, Wright, and Kasch (2008), is that it is deliberate. Later, they classify intentional engagement into four categories: problem-solving, role-playing, team-building, and trust-building. A true group cannot exist without intentional engagement.
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O
Science Application: An atom consists of charged particles called
electrons and protons. Each proton has a charge of +1 and each
electron has a change of -1. Remember number of electrons is equal
to number of protons, while answering these questions
(a) What is the change on an atom?
(b) What will be the change on an atom fit loses an electron?
(c) What will be the charge on an atom if it gains an electron?
Answer:
A. A change B:Atom C:wow
Step-by-step explanation:
Sorry man, its 18 points
(a) The charge on an atom is neutral, meaning that the total number of positive charges from protons is equal to the total number of negative charges from electrons. Hence, the net charge on an atom is zero.
(B) If an atom loses an electron, there will be more protons than electrons in the atom. The atom acquires a general positive charge as a result. For instance, if a sodium atom (Na), which is normally neutral, loses an electron, it changes into the positively charged ion (Na+).
(c) If an atom obtains one electron, there will be more electrons than protons in the atom. This results in an overall negative charge on the atom. For example, if a neutral atom of chlorine (Cl) gets an electron, it forms a negatively charged ion (Cl-) (Cl-).
Identify this prism and describe it using the following vocabulary terms: base, edge, face, and vertex.
Answer:
the person above me is correct
Step-by-step explanation:
Answer:hey can we talk
Step-by-step explanation:
Unit 2: Logic & Proof
Homework 2: Compound Statements
on using disjunctive syllogism to derive Q from the second premise and the derived value of A. if P is true, then Q must also be true..
In logic, a compound statement is made up of two or more simple statements, known as premises or assumptions, that are combined using logical operators such as "and," "or," and "not." To prove a compound statement, we use rules of inference to derive a conclusion based on the given premises.
In the first proof question, we are given three premises: P, P or R, and not S or A. We need to prove the statement Q using these premises. To do so, we use the disjunctive syllogism rule, which states that if one of two disjunctive statements is false, then the other must be true. By assuming ~P, we derive ~S from the third premise using the rule of disjunction. Then, using modus ponens, we derive A from the assumption of ~P and the third premise. Finally, we use disjunctive syllogism to derive Q from the second premise and the derived value of A.
In the second proof question, we are given three premises: not P or S, not S, and R or Q. We need to prove the statement P implies Q using a conditional world proof. We assume P is true and derive S using the first premise. Using the second premise and modus tollens, we derive not R. Finally, using disjunctive syllogism, we derive Q from the third premise and the derived value of not R. Therefore, we show that if P is true, then Q must also be true..
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Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?
Answer:
Step-by-step explanation:
which expression is equal to 45 4 5 responses 4 x 15 1 5 4 x 1 fifth 4 x 51 5 1 4 x 5 over 1 5 x 14 1 4 5 x 1 fourth 5 x 41 4 1 5 x 4 over 1
Option A, which is 4 x 15 + 1 - 5 x 4 x 1, is the correct expression that is equal to 45 x 4 + 5.
To show this, we can simplify the expression as follows:
4 x 51 + 1 - 5 x 4 x 1
= 204 + 1 - 20
= 205 - 20
= 184
Then, we can check if 185 is equal to 45 x 4 + 5:
45 x 4 + 5
= 180 + 5
= 185
Since 185 is equal to 185, it is concluded that an expression that is "equal to" 45 x 4 + 5, is held by option A.
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Helppppppppppppppppppppppppppppppppppppppp Pleaseeeeeeeeeeeeeeeee
Answer:
2. -1/3x > 12
3. 5+x > 7
4.10-x < 30
5. 2+5x ≤ 3
6.6-2x ≥ 17
8.$400+$49g=$750
at most the enthusiast can buy 7 games along with the player
Step-by-step explanation:
classify the statement as an example of classical probability, empirical probability, or subjective probability. the probability of an earth-impacting asteroid causing a person's death is .
The given statement "the probability of an earth-impacting asteroid causing a person's death" is empirical probability, which is based on observations and data.
Empirical probability, also known as experimental probability, is based on observations or data. It involves collecting data through repeated trials of an experiment and calculating the probability of an event based on the frequency of its occurrence.
Subjective probability, also known as personal probability, is based on personal judgment or belief. It reflects an individual's degree of belief in the likelihood of an event occurring, based on their own knowledge and experience.
Now, let's classify the statement in the prompt. The statement is "the probability of an earth-impacting asteroid causing a person's death is." We can see that the statement does not specify which type of probability is being used.
In conclusion, probability is a crucial concept in mathematics and science, and there are different types of probability, including classical, empirical, and subjective probability.
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What is the 100th digit of pi?what is the hundredth digit of pi? this would include the 3 in the beginning.
100th digit of the pi is 7
Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,
The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.
Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.
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Let X is a variable representing a characteristic of subjects in a study. Some of the values of X are as follows X:= cat, dog, pig, bear, lion etc.
What type of variable is this?
A) Discrete
B) Categorical
C) Continuous
D) None of these
The correct option is B) Categorical
The variable X in this case is categorical. Categorical variables represent distinct categories or groups and do not have a numerical value associated with them. In this example, X represents different types of animals (cat, dog, pig, bear, lion), which are categories or groups.
Therefore, the correct answer is B) Categorical.
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Sharon is paving a rectangular concrete driveway on the side of her house. The area of the driveway is , and the length of the driveway is . What is the width of the driveway in terms of x
The width of the driveway is 5x-2 and the height of the carport is 6x+1.
What is a rectangle?a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.
The area of a rectangle is given by length × width. Since the area is 5x²+43x-18 and the length is x+9, to find the width, we divide:
he first term of the quotient will be the number of times x goes into 5x². It goes 5x times; multiply this by the divisor, and we have 5x²+45x to write under the first two terms of the dividend. Subtracting these, we have -2x left over bring down the -18. The second term of the quotient will be the number of times x+9 goes into -2x-18, it goes -2 times. Multiply this by the divisor, and we have -2x-18 with no remainder. This gives the quotient 5x-2.
The volume of the carport is given by the area of the base × height, since the volume is 48x³+68x²-8x-3 and the area of the base is 8x²+10x-3, we divide to get the height.
The first term of the quotient will be the number of times 8x² goes into 48x³. It goes 6x times; multiply this by the divisor and we have 48x³+60x² to write under the first two terms of the dividend.
Subtract these and we have 8x²+10x left over bring down the -3. The second term of the quotient will be the number of times 8x² goes into 8x²; it goes 1 time. Multiply this by the divisor and we have 8x²+10x-3 with no remainder. This makes the height 6x-3.
Hence, The width of the driveway is 5x-2 and the height of the carport is 6x+1.
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Write an equation of the circle with center (7, 6) and radius 5.
Answer:
( x-7)^2+(y-6)^2 = 25
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x-7)^2+(y-6)^2 = 5^2
( x-7)^2+(y-6)^2 = 25
Answer:
(x-7)^2+(y-6)^2=25
Explanation:
If I were you, I would mark 7 as x and 6 as y. Whatever is in your parenthesis for center of the circle, do the opposite in your equation. Since you have positive 7 & positive 6, turn those into negative numbers for your equation. And for the radius, just times it two times. So 5•5=25
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
20
Step-by-step explanation:
\(\frac{-8*10^7}{-4*10^6}\\=2*10\\=20\)
Divide.
6 2/3÷1/5
Express your answer as a mixed number in simplest form.
Enter your answer in the box.
a
Answer:
33 1/3
Step-by-step explanation:
turn to improper for a simpler answer
6 2/3 = 20/3
20/3 ÷ 1/5
whenever you divide fractions, you change the symbol to multiplication and divide with the reciprocal, so you get:
20/3 * 5/1
multiply
20 * 5 = 100
3 *1 = 3
100/3
is equal to 33 1/3
can someone help me out ? i'm new to it
Answer:
the bill depends on the how many people
The number one is an example of an element in the set of natural numbers true or false