Answer:
Ngozi is 45 years old
Step-by-step explanation:
N = 2A
AG = 1/3A
A + AG = 30
Subsitute AG with 1/3A.
A + 1/3A = 30
1 1/3 A = 30
A = 22.5
AG = 7.5
Ngozi = 45
Vectors u and v are shown on the graph.Part A: Write u and v in component form. Show your work. (3 points)Part B: Find u + v. Show your work. (2 points)Part C: Find 5u − 2v. Show your work. (5 points)
ANSWER
\(\begin{gathered} (A)u<9,7>;v<8,-2> \\ (B)<17,5> \\ (C)<29,39> \end{gathered}\)EXPLANATION
(A) We want to write the vectors in component form.
To do this, we will write them in terms of their horizontal and vertical lengths.
To do this, we have to find the difference between the coordinate points of the endpoints and the starting points of the vectors.
Hence, for vector u, its starting point is (2, -6) and its endpoint is (11, 1).
Hence, its component form is:
\(\begin{gathered} <11,1>-<2,-6> \\ \Rightarrow<11-2,1-(-6)> \\ \Rightarrow<9,1+6> \\ <9,7> \end{gathered}\)For the vector v, its starting point is (5, 8) and its endpoint is (13, 6).
Hence, its component form is:
\(\begin{gathered} <13,6>-<5,8> \\ \Rightarrow<13-5,6-8> \\ \Rightarrow<8,-2> \end{gathered}\)Hence, the component form of the vectors is:
\(\begin{gathered} u<9,7> \\ v<8,-2> \end{gathered}\)(B) To find the sum of the two vectors, we have to find the sum of their components.
That is:
\(\begin{gathered} u+v=<9,7>+<8,-2> \\ \Rightarrow<9+8,7+(-2)> \\ <17,7-2> \\ <17,5> \end{gathered}\)That is the answer.
(C) To find 5u - 2v, we have to multiply vector u by 5, multiply vector v by 2, and then find the difference:
\(\begin{gathered} 5\lbrack<9,7>\rbrack-2\lbrack<8,-2>\rbrack \\ \Rightarrow<45,35>-<16,-4> \\ \Rightarrow<45-16,35-(-4)> \\ \Rightarrow<29,35+4> \\ \Rightarrow<29,39> \end{gathered}\)That is the answer.
a student has 5 blouses 4 skirts and 4 sweaters in how many ways can she select an outfit comprising 3 items.
Answer:
80
Step-by-step explanation:
This is a combination question that contains multiple clothing items and to solve such question we multiply the given numbers :
5 × 4 × 4 = 80
Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
How much does Celeste get paid an hour?
help me pls
Answer:
$20 per hour
Step-by-step explanation:
1500 - 500 = 1000
1000 divided by 50 = 20
To check:
20 x 50 = 1000
Find the mean.
3,4
Helpop
Answer:
3:4 i think
Step-by-step explanation:
3 4 is the answer
What is the value of SS for the following set of scores?
Scores: 0, 1,4,5]
a. 18
b.42
c. Cannot answer without knowing whether it is a sample or a population
d. 7
The value of SS for the following set of scores [ 0, 1,4,5] is 42.
So, option b is correct
What is meant by sum of squares?The formula for measuring the deviation from the measured values is the Sum of Squares. The mean value of the complete collection of observed values is used to measure this distance.
When referring to a statistical method for calculating the dispersion of data points in regression analysis, the term "sum of squares" is employed. When determining which function best matches the data by deviating the least from it, the sum of squares can be utilized. Determine how well a data series can be fitted to a function that could aid in explaining how the data series was formed.
Given,
The dats is 0, 1, 4, 5
S0, the value of n is 4
SS=Sum of squares
SS=0²+1²+4²+5²
SS=0+1+16+25
SS=42
Therefore, the value of SS for the following set of scores [ 0, 1,4,5] is 42.
So, option b is correct.
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You used a student deck of 52 cards and selected a card at random find (c) 2 of heart
Definition
Theoretical Probability is the ratio of the number of favorable outcomes to the total possible outcomes of an event.
Expressing probability as a formula:
\(\text{probability = }\frac{Number\text{ of favorable outcomes}}{Total\text{ possible outcomes of an event}}\)Information about a standard deck of cards:
A standard deck of cards has four suits: hearts, clubs, spades, diamonds. Each suit has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. Thus the entire deck has 52 cards total.
(a) Picture card (J, Q, and K)
In a standard deck, there are 4 Jacks, Queens, and Kings. Hence, the probability of J, Q, and K are:
\(\begin{gathered} \text{Number of picture cards = 4 }\times\text{ 3} \\ =\text{ 12} \end{gathered}\)Probability as a fraction:
\(=\text{ }\frac{12}{52}\)In decimal:
\(=\text{ }0.23\)Percent:
\(\begin{gathered} =\text{ 0.23 }\times\text{ 100} \\ =\text{ 23\%} \end{gathered}\)(b) 9 or 10
There are 4 cards labeled 9 and 10 each.
Probability as a fraction:
\(\begin{gathered} P(9or10)=\text{ P(9) + P(10)} \\ =\text{ }\frac{4}{52}\text{ + }\frac{4}{52} \\ =\text{ }\frac{8}{52} \end{gathered}\)In decimal:
\(=\text{ 0.15}\)In percent:
\(\begin{gathered} =\text{ 0.15 }\times\text{ 100} \\ =\text{ 15\%} \end{gathered}\)(c) 2 of heart
In a standard deck of cards, there are only one 2 of hearts.
Probability as a fraction:
\(=\text{ }\frac{1}{52}\)In decimal:
\(=\text{ 0.02}\)In percent:
\(\begin{gathered} =\text{ 0.02 }\times\text{ 100} \\ =\text{ 2\%} \end{gathered}\)The domain of a transformation function that reflects coordinates over the y-axis consists of the coordinates
(4, 6).(7, 3)
and
a (2, 5).
What is the range of the function?
Please help i cant do maths to save my life
Answer:
3x+4=22
this is the required equation
now,
3x=22-4
3x=18
x=6
hope it helps you
Step-by-step explanation:
you may Mark me as brainliest:)
have a great day
Answer:
x = 6
Step-by-step explanation:
According to the question, Suppose x is the number.
multiplying x by 3 and adding 4, you get 22.
3x + 4 = 22
Solving,
3x + 4 = 22
3x = 22 - 4
3x = 18
x = 18/3
x = 6
Find the roots of the function x2 - 225 = 0
Answer:
x = 255/2
Step-by-step explanation:
225 X = 2
(Decimal: x = 112.5) x.2-225 = 0
Steps x.2-225 = 0
Add 225 to both sides x.2-225 + 225 = 0+ 225
Simplify x.2 = 225
Divide both sides by 2 x. 2 2 225-learn 2
Simplify 225 X = 2
Help me out please an thank you
Answer:
54°.
Step-by-step explanation:
it is the answer
hope it helps
Answer:
54
Step-by-step explanation:
Hope it helps and you pass your test
A system of equations has a solution (4, −1). One equation in the system is y=14x−2 . Which could be the second equation for the system?
The required equation in a system of equations that has a solution (4, −1) is given as y = -1/4x.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let's assume that the equation passing through the origin and (4, -1)
The equation is given as,
(y₂ - y₁) / (x₂ - x₁)
y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
y - 0 = -1 - 0 / 4 - 0 [x - 0]
y = -1/4x
Thus, the required other equation in a system of equations has a solution (4, −1) is given as y = -1/4x.
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There is 6/8 of a cake leftover after a birthday party. How many 1/4 pieces can be made from the leftover cake?
Answer:
You can have 2, 1/4 pieces. The answer is 2.
Step-by-step explanation:
Solve the system of equations using elimination. 2x 3y = −8 3x y = 2 (−4, 0) (2, −4) (5, −6) (8, −8)
Following the elimination process the solution of the given system of equations is \((2, -4)\). Hence option B is correct.
The given system of equations is:
2x + 3y = −8 ....(i)
3x + y = 2 ----(ii)
To solve this system by using the elimination method,
Multiply 3 both sides in equation (ii) we get,
9x + 3y = 6 ....(iii)
Subtract (iii) from (i) we get,
2x + 3y - (9x + 3y ) = -8 -6
-7x = -14
Dividing both sides by -7 we get,
x = 2
Put the value of x into equation (ii),
6 + y = 2
y = -4
Hence,
The solution of the system is \((2, -4)\) which is option B.
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The complete question is:
Solve the system of equations using elimination.
2x + 3y = −8
3x - y = 2
A. (−4, 0)
B. (2, −4)
C. (5, −6)
D. (8, −8)
Answer:
(2, −4)
Step-by-step explanation:
took the test xx
PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean
Answer:
range
Step-by-step explanation:
Answer:
B. range.
Step-by-step explanation:
others are:
» Standard variation.
» Interquatile range.
» Quatiles, deciles and percentiles.
» variance.
\({ \underline{ \blue{ \sf{christ \: † \: alone}}}}\)
what is the FOIL method and how does it connect with polynomials?
Answer:
The FOIL method is a technique used to multiply two binomials. The word "FOIL" is an acronym that stands for "First, Outer, Inner, Last." I will dive in it briefly for u!
Step-by-step explanation:
To use the FOIL method, you multiply the first term of the first binomial with the first term of the second binomial. Then, you multiply the outer terms (first term of the first binomial and the second term of the second binomial), followed by the inner terms (second term of the first binomial and the first term of the second binomial), and finally the last terms (second term of both binomials). You then combine the like terms to simplify the result.
The FOIL method is especially useful when multiplying polynomials, which are expressions with one or more terms involving variables with various powers. For example, to multiply the binomials (x + 3) and (x - 2), you would use the FOIL method as follows:
First: x × x = x²
Outer: x × (-2) = -2x
Inner: 3 × x = 3x
Last: 3 × (-2) = -6
Combine the like terms: x² - 2x + 3x - 6 = x² + x - 6
Thus, the product of (x + 3) and (x - 2) is x² + x - 6.
Answer:
The FOIL method is a mnemonic device used to multiply two binomials. It stands for "First, Outer, Inner, Last" and it is a step-by-step process that helps to remember the order of operations for multiplying binomials. When multiplying two binomials, the FOIL method involves multiplying the first terms, then the outer terms, then the inner terms, and finally the last terms, and then adding the resulting terms together to simplify the expression.
The FOIL method is used in polynomial algebra because it is an efficient way to multiply two polynomials of degree one, also known as binomials. When multiplying two binomials, we can use the FOIL method to distribute each term in the first binomial to each term in the second binomial, resulting in a new polynomial expression. This method allows us to simplify polynomial expressions and solve equations by factoring, which is a crucial skill in algebra and calculus.
In summary, the FOIL method is a mnemonic device used to multiply two binomials by remembering the order of operations for each term. This method is commonly used in polynomial algebra because it is an efficient way to simplify polynomial expressions and solve equations by factoring.
The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving along a line.
a(t) = 2t + 2, v(0) = â15, 0 ⤠t ⤠5
(a) Find the velocity at time t.
(b) Find the distance traveled during the given time interval.â
a. The velocity at time t is v(t) = t² + 2t - 15 m/s.
b. The distance travelled during the given time interval is \(\frac{25}{3}\) meters (or approximately 8.33 meters).
(a) To find the velocity at time t, we need to integrate the acceleration function a(t) from 0 to t and add the initial velocity v(0):
\(v(t) = \int a(t) \, dt + v(0) = \int (2t + 2) \, dt - 15 = t^2 + 2t - 15\)
So the velocity at time t is v(t) = t² + 2t - 15 m/s.
(b) To find the distance travelled during the given time interval, we need to integrate the velocity function v(t) from 0 to 5:
s(5) - s(0) = ∫v(t) dt from 0 to 5
Using the formula for v(t) from part (a), we have:
s(5) - s(0) = ∫(t² + 2t - 15) dt from 0 to 5
\(\int_{0}^{5} \left( \frac{t^3}{3} + t^2 - 15t \right) \, dt\)
\(= \frac{25}{3}+25-75-\frac{0}{3}+0-0=\frac{25}{3}\)
As a result, the distance covered in the allotted time is \(\frac{25}{3}\), or roughly 8.33 metres.
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besties besties please help im desparate
What in the flipping Jeapordy is this, but anyway:
1) Simran needs a 65% to score an 80 test average
2) The length is 13 centimeters
3) Jake purchased 4 gadgets
4) 100 candles would need to be sold
5) You bought 3 drinks
Answer:
Step-by-step explanation:
miss girl you need homework plugs sorry queen have a good day
help please :( please just do 1-7
1. Liquids have a definite volume, but take the shape of the container.
2.A physical property is a characteristic of a substance that can be observed or measured without changing the identity of the substance. Physical propertiesinclude color, density, hardness, and melting and boiling points. A chemical property describes the ability of asubstance to undergo a specificchemical chang
Answer: 1- liquid
2- chemical property A chemical property is any of a material's properties that becomes evident during, or after, a chemical reaction
physical property- A physical property is any property that is measurable, whose value describes a state of a physical system. The changes in the physical properties of a system can be used to describe its changes between momentary states
3- melting point and density
4- solids are closer together; more compacted, move faster
liquids are a little bit far apart; still close together and move a little slower
gases are fart apart; move slower
5- flammability
6- because they move slower and are more far apart then liquids and solids
7- I can't see the table :)
Step-by-step explanation:
A traditional children’s riddle concerns a farmer who
is traveling with a sack of rye, a goose, and a mischievous dog.
The farmer comes to a river that he must cross from east to west. A
boat is ava
The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.
He comes to a river that he must cross from east to west, and there is a boat available to do so. Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."
The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.
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Please help!!! i need this done by tonight!! 50 points!!
The equation of best fit is y = (-22/5)x + 10.
What is an equation of a line?
The equation of a line is given by:
y = mx + c where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The following coordinates are given:
Pick two coordinates.
(0, 10) and (25, -100)
The equation of best fit.
y = mx + c
Now,
m = (-100 - 10) / (25 - 0)
m = -110 / 25
m = -22/5
Now,
(0, 10) = (x, y)
10 = (-22/5) x 0 + c
c = 10
Now,
y = mx + c
y = (-22/5)x + 10
Thus,
Using the coordinates the equation of best fit is y = (-22/5)x + 10.
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give the percentage of measurements in a data set that are above and below each of the following percentiles. a. th percentile b. th percentile c. th percentile d. th percentile
The percentage of measurements in a data set that are above and below each of the following percentiles are 68%, 95% and 99.7%.
We need to calculate the percentage of the measurements contained in each of the following intervals:
According to the empirical rule, approximately 68% of the measurements in a normally distributed data set will fall within one standard deviation of the mean. Therefore, approximately 68% of the measurements will fall within the interval (mean - s, mean + s).
Similarly, approximately 95% of the measurements in a normally distributed data set will fall within two standard deviations of the mean. Therefore, approximately 95% of the measurements will fall within the interval (mean - 2s, mean + 2s).
Likewise, approximately 99.7% of the measurements in a normally distributed data set will fall within three standard deviations of the mean. Therefore, approximately 99.7% of the measurements will fall within the interval (mean - 3s, mean + 3s).
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Which of the following shows the prime factorization of 600?
A) 2 ∙ 2 ∙ 3 ∙ 3 ∙ 5 ∙ 5
B) 2 ∙ 2 ∙ 2 ∙ 2 ∙ 3 ∙ 5
C) 2 ∙ 2 ∙ 2 ∙ 3 ∙ 5 ∙ 5
D) 2 ∙ 2 ∙ 3 ∙ 5 ∙ 5 ∙ 5
Answer:The answer is C
Step-by-step explanation: The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.
Hope this helped!
P(A)
=P(E 1
)+P(E 2
)+P(E 3
)
=0.113+0.141+
=0.461
To find the prebablity that etinic eroup 3 is seected, or NC., follow the same procedure, adding the probabaties across the row for ethnic group 3. P(C)
=0215+0.207++0,020
=0.5%
⇒A∣C)= TरC) AA∩C?
सAㅣㅇ = सC ranC
- 0.20ri rCA + r(A)
M(A+C)
Based on the provided information, we cannot generate the answer for the conditional probability P(A|C) or the intersection A∩C.
The probability of selecting ethnic group 3, denoted as P(C), is found by adding the probabilities across the row for ethnic group 3. This probability is calculated to be 0.5%.
The conditional probability of event A given event C, denoted as P(A|C), is determined using the formula P(A|C) = P(A∩C) / P(C).
The intersection of events A and C, denoted as A∩C, represents the common occurrence of events A and C.
The numerator of the formula calculates this intersection, while the denominator represents the probability of event C. The explanation below provides a detailed breakdown of the calculations.
To calculate the probability that ethnic group 3, denoted as C, is selected, you add the probabilities across the row for ethnic group 3: P(C) = P(E1) + P(E2) + P(E3) = 0.215 + 0.207 + 0.020
= 0.442.
However, there seems to be an error in the given calculation, as the total probability adds up to 0.5 instead of 0.442. For the purposes of this explanation, let's assume the correct value is 0.442.
To determine the conditional probability of event A given event C, denoted as P(A|C), you need to calculate the intersection of events A and C, denoted as A∩C, and divide it by the probability of event C.
The intersection A∩C represents the common occurrence of events A and C. So, the numerator of the formula is P(A∩C), which corresponds to the probability of both events A and C happening simultaneously.
Unfortunately, the information provided does not include the necessary probabilities to calculate P(A∩C). We would need the probabilities for the specific intersection of events A and C. Without this information, it is not possible to calculate the conditional probability P(A|C). The given probabilities only pertain to the individual events A, E1, E2, E3, and C, but not their intersections.
Therefore, based on the provided information, we cannot generate the answer for the conditional probability P(A|C) or the intersection A∩C.
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Please help I’ll give brainliest!!
Answer:
(x+2)(2x+7)
Step-by-step explanation:
worked it out
Please help me with this question its due tonight!!
Answer:
f(x)=5x²+2x-5,G(x) =7x+8,H(x)=4x²-10
A politician selects a random sample of 306 voters from her state. For each voter, she records the region in which they live and their political affiliation. She would like to know if there is convincing evidence that the region in which voters live is associated with their political affiliation. Let = 0.05. The observed counts are displayed in the table.
Are the conditions for inference met?
No, the data do not come from a random sample.
No, the 10% condition is not met.
No, the Large Counts condition is not met since all expected counts are not greater than 5.
All conditions for inference are met.
Based on the hypothesis, the correct option is C. No, the Large Counts condition is not met since all expected counts are not greater than 5.
How to explain the informationThe statement mentions that the politician selects a random sample of 306 voters from her state. However, it also states that the data do not come from a random sample. This contradiction suggests that the random sample condition is not met.
The Large Counts condition for inference states that all expected counts must be greater than 5. In this case, the expected counts are:
Region 1: 103 * 0.4 = 41.2
Region 2: 103 * 0.3 = 30.9
Region 3: 103 * 0.3 = 31.9
As you can see, not all of these expected counts are greater than 5. Therefore, the Large Counts condition is not met and we cannot use the chi-square test for independence to test the politician's hypothesis.
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abc=1/2; b (;b= solve for b)
Answer:
\(abc - \frac{b}{2} = 0\)
explain how to simplify
t-2/v-3
Using distributive property, the simplification of the expression shows that the given expression is already simplified.
What is the simplification of the expression?To simplify expressions first expand any brackets, next multiply or divide any terms and use the laws of indices if necessary, then collect like terms by adding or subtracting and finally rewrite the expression.
t - 2 / v - 3
Let's combine the numerator with the denominator
(t - 2)(v - 3) / (v - 3)
Expand the expression using distributive property
tv - 3t - 2v + 6 / (v - 3)
We can factor as;
(t - 2)(v - 3) / (v - 3)
Cancel both sides
(t - 2) / (v - 3)
The expression has already been simplified
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How many 1/4 minutes are there in 3/4 minutes?
Answer: 3
Step-by-step explanation:
\(\frac{\frac{3}{4}}{\frac{1}{4} }=3\)PLEASE HURRY-When Melissa is playing soccer she makes 2 goals out of every 12 shots on goal. How many times would you expect her to make the goal if she took 144 shots on goal?
Answer: 24 goals
Step-by-step explanation:
Melissa makes 2 goals out of every 12 shots on goal.
This means that the amount of shots needed to score a goal for her is:
= Number of shots / Number of goals
= 12 / 2
= 6 shots
She scores a goal every 6 shots.
If she makes 144 shots therefore, she will score:
= Number of shots / Number of shots needed per goal
= 144 / 6
= 24 goals