Answer:
[6 12 2]
[0 0 0]
[0 6 2]
Step-by-step explanation:
Simplify 2.1 + (-3.7m) + 1.9m - 1.4
Answer:
-1.8m + 0.7
Step-by-step explanation:
suppose that 50% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?
The probability that, both tries to own a dog is 0.2500.
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
P(A) = f / N determines probability, which quantifies the possibility of an event happening. Probability and odds are related, but probability is necessary for odds to exist. Prior to calculating the likelihood that an event will occur, probability is required.
Here, 50% of people own dog.
P(people own dog) = 50/100
= 0.5
P(both people own dog) = 0.5×0.5 = 0.2500
Learn more about probability Visit : brainly.com/question/13604758
#SPJ4
i need help with this
Answer:
1302
Step-by-step explanation:
Can you please help me solve these problems
Equations with synthetic division are shown below with complete calculation.
What is Equation?An equation expresses the equality between two values, or expressions, using symbols, numbers and/or operators.
Part 1
1.(6x⁴+53x³+32x²-61x19)÷(x+8)
Answer: 6x³ + 41x² - 73x - 153
2.(8x⁵+32x⁴+5x+20)÷(x+4)
Answer: 8x⁴ + 24x³ - 7x² - 20x - 5
Part 2
3.(x⁴-3x²+4x+2)÷(x-2)
Answer: 1, 6, -2, -1
4.(3x³+2x²-6)÷(x-3)
Answer: 3x² + 11x + 18
5.(x⁵+3x²+5)÷(x-1)
Answer: x⁴ + 4x³ + 8x² + 5x + 5
Part 3
6.x+1
Answer: Reminder: -8
7.x-1
Answer: Reminder: 2
8.x+3
Answer: Reminder: -14
9.x-3
Answer: Reminder: -10
Part 4
10. F(x) =x³+9x² +23x+15;x+5
Answer: (x+5)(x² + 4x + 3)
Zeros: -5, -3, -1
11.f(x) =x³-12x² +47x-60;x-3
Answer: (x-3)(x² - 9x + 20)
Zeros: 3, 9, -20
12.f(x) =6x³+7x² -1;2x+1
Answer: (2x+1)(3x² + 3x - 1)
Zeros: -1/2, -1/3, 1.
For more questions related to Equation
https://brainly.com/question/2972832
#SPJ1
1. The long division yields: 8x+11
2. 4x+16
3. The synthetic division: 3x-4
4. 3x-3
All the equations are shown below with complete calculation.
What is Equation?An equation expresses the equality between two values, or expressions, using symbols, numbers and/or operators.
Part 1
1. (6x+53x+32x2-61x+19)+(x+8)
The long division of this expression yields:
6x+53x+32x2-61x+19 + (x+8)
= (6x+53x+32x2-61x+27) + (8x+11)
= 8x+11
2. (8x5+32x+5x+20) + (x+4)
= (8x5+32x+6x+24) + (4x+16)
= 4x+16
Part 2
3. (x-3x²+4x+2)+(x-2)
The synthetic division of this expression yields:
x-3x²+4x+2 + (x-2)
= (x-3x²+5x-2) + (3x-4)
= 3x-4
4. (3x+2x2-6)+(x-3)
= (3x+2x2-9) + (3x-3)
= 3x-3
5. (x5+3x²+5)+(x-1)
= (x5+3x²+6) + (2x-6)
= 2x-6
Part 3
6. f(x)=2x-x+4x-8; x+1
The remainder when f(x) is divided by x+1 is -1.
7. f(x)=2x-x+4x-8; x-1
The remainder when f(x) is divided by x-1 is -7.
8. f(x)=2x-x+4x-8; x+3
The remainder when f(x) is divided by x+3 is -5.
9. f(x)=2x-x+4x-8; x-3
The remainder when f(x) is divided by x-3 is -9.
Part 4
10. f(x) = x²+9x²+23x+15; x+5
Zeros: -5, -3
11. f(x)=x-12x²+47x-60; x-3
Zeros: 3, -5
12. f(x)=6x+7x²-1; 2x+1
Zeros: -1/2, -1
For more questions related to Equation
https://brainly.com/question/2972832
#SPJ1
please help V'W'is a translation of VW Write the translation rule.
Answer:
(x+11), (y+15)
Step-by-step explanation:
the point v gets translated 11 points to the right, so the translation is x+11.
Point v also gets translated 15 points up, so the translation is y+15
-4x-10x plzz help what is it
\(\sf{hey\:}\) \(\sf\cancel{mate\:Here\:}\) \(\sf\red{is\:ur\:answer}\)
\( - 4x - 10x = - 14x\)
Answer:
-14x
Step-by-step explanation:
Subtract 10 from -4,
(With negatives subtracting is basically adding a negative and adding is basically taking away a negative)
hope this helps :)
The frequency of occurrence of something within a specifically defined area is the.
Density –The frequency with which something exists with a given unit of area.
Definition of density: A material's density is determined by how closely it is packed. As the mass per unit volume, it has that definition. Symbol for density: D or Formula for Density: Where is the density, m is the object's mass, and V is its volume, the equation is: = m/V.
How much "stuff" is contained in a specific quantity of space is determined by its density. For instance, a block of the harder, lighter element gold (Au) will be denser than a block of the heavier element lead (Pb) (Au). Styrofoam blocks are less dense than bricks. Mass per unit volume serves as its definition.
Learn more about density here
https://brainly.com/question/6838128
#SPJ4
what is the value of the expression
v/2 +(3/4 +w)
when v=1 and w= 5/8
a 1/8
b 3/8
c 5/8
d 1
The value of v/2 +(3/4 +w) when v = 1 and w = 5/8 is 1 7/8
What is substitution of variables?substitution of variables is a basic technique used to simplify problems in which the original variables are replaced with functions of other variables.
Since V = 1 and W = 5/8, by substituting 1 for V and 5/8 for w in the expression
v/2 +(3/4 +w) = 1/2+ ( 3/4 + 5/8)
= 1/2 + (6+5)/8
= 1/2 + 11/8
= (4+11)/8
= 15/8
= 1 7/8
Therefore the value of v/2 +(3/4 +w) when v is 1 , and w is 5/8 is 1 7/8
learn more about substitution of variable from
https://brainly.com/question/26094713
#SPJ1
i’m not sure how to solve this
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{4}{3}\) x + \(\frac{5}{3}\) ← is in slope- intercept form
with slope m = \(\frac{4}{3}\)
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 8 = \(\frac{4}{3}\) (x + 6) ← is in point- slope form
with slope m = \(\frac{4}{3}\)
Parallel lines have equal slopes, thus
The 2 given lines are Parallel
The answer is:
B- Distinct Parallel Lines (DPL)
4/9x1/9
(Simplify the answer if possible)
find the average value of the function over the given interval. (round your answer to three decimal places.) f(x) = cos(x), 0, 2
We need to calculate the definite integral of the function over the interval and divide it by the width of the interval. The average value of the function cos(x) over the interval [0, 2] is approximately 0.909
In summary, to find the average value of the function f(x) = cos(x) over the interval [0, 2], we calculate the definite integral of the function over the interval and divide it by the width of the interval.
To find the definite integral of cos(x) over the interval [0, 2], we can integrate the function:
∫cos(x) dx = sin(x) + C
Evaluating the integral from 0 to 2 gives us:
∫[0 to 2] cos(x) dx = sin(2) - sin(0)
Since sin(0) = 0, we have:
∫[0 to 2] cos(x) dx = sin(2)
To find the average value, we divide this result by the width of the interval:
Average value = (1/2 - 0) * sin(2)
Rounded to three decimal places, the average value of the function cos(x) over the interval [0, 2] is approximately 0.909.
To learn more about cos(x) click here, brainly.com/question/28892265
#SPJ11
variables with values that are determined by chance are called
Variables with values that are determined by chance are called random variables (option a).
Random variables are variables whose values are determined by chance or randomness. They are often used in probability theory and statistics to model uncertain or unpredictable phenomena. The values of random variables can come from various sources, such as the outcome of a random experiment, the result of a random process, or the measurement of a random quantity.
Random variables can take on different types of values, including numerical values (such as integers or real numbers) or categorical values (such as "heads" or "tails" in a coin toss). The possible values that a random variable can take are known as its sample space.
Random variables are commonly denoted by capital letters, such as X, Y, or Z. Each value in the sample space of a random variable is associated with a probability or likelihood of occurring, which can be described using a probability distribution. The probability distribution provides information about the likelihood of different outcomes or values of the random variable.
Random variables are fundamental in many areas of mathematics, statistics, and science. They play a crucial role in understanding and modeling uncertainty, making predictions, analyzing data, and making informed decisions in various fields, including finance, engineering, biology, and social sciences.
The complete question is:
Variables with values that are determined by chance are called _______.
a) random variables.
b) erratic variables.
c) specialized.
d) inconsistent variables.
To know more about random variables:
https://brainly.com/question/30482967
#SPJ4
PLEASEEE HELPP 30 POINTSSS!!!
Answer:
I will be glad to help but unfortunately there's no question to answer
Step-by-step explanation:
please follow me for more if you need any help
8n + -3n = (8 + -3)n
Is this Distributive if it appears "backwards"?
Answer:
no it doesnt matter
Step-by-step explanation:
distributive property is correct
In a sale normall prices are reduced by 10% Natalie brought a pair of shoes from the sale and they cost £54 what was the original price
Answer: £60
Step-by-step explanation:
Natalie bought a pair of shoes for £54 which had been reduced by 10%.
To find the original cost, assume the original cost is x.
The discount would be: 10% * x
The expression would therefore be:
x - (10% * x) = 54
x - 0.1x = 54
0.9x = 54
x = 54 / 0.9
x = £60
how to calculate z score from mean and standard deviation?
To calculate the z-score from a given value, mean, and standard deviation, you can use the following formula:
z = (x - μ) / σ
z-score can be calculated using the formula
z = (x - μ) / σ
where:
- z is the z-score
- x is the value you want to standardize
- μ is the mean of the data set
- σ is the standard deviation of the data set
Here are the steps to calculate the z-score:
1. Determine the value you want to standardize (x).
2. Calculate the mean (μ) and the standard deviation (σ) of the data set.
3. Subtract the mean from the value you want to standardize (x - μ).
4. Divide the result by the standard deviation (σ) to get the z-score.
The z-score measures how many standard deviations an individual data point is away from the mean. A positive z-score indicates that the value is above the mean, while a negative z-score indicates that the value is below the mean. The magnitude of the z-score represents the distance from the mean in terms of standard deviations.
By calculating the z-score, you can compare different data points and determine their relative positions within a distribution. The z-score is useful for standardizing data and identifying outliers or unusual observations.
To learn more about z-score
https://brainly.com/question/15222372
#SPJ11
solve for x -12 = -4 (-6x - 3 )
Answer:
-24/23 = x
Step-by-step explanation:
Step 1: Write equation
x - 12 = -4(-6x - 3)
Step 2: Solve for x
Distribute -4: x - 12 = 24x + 12
Subtract x on both sides: -12 = 23x + 12
Subtract 12 on both sides: -24 = 23x
Divide both sides by 23: -24/23 = x
Given a line and a point not on the line construct a parallel line through point c
Answer:
The first line m1 should be = the second line m2 passing through point C.
so in short m1=m2...
The side lengths of a 30-60-90 triangle are in the ratio 1:square root :2. What is the cos 60°?
A.square root 3
B.1/2
C.square root 3/2
D.square root 3/3
Pls don’t get this taken down, will give brainlest!!
A.Find the values for j and k
B.Write an equation for f(x)
well, let's move like the crab, backwards, let's start with b), then we'll do a)
b)
\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=2\\ y=75 \end{cases}\implies 75=ab^2 \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=5\\ y=9375 \end{cases}\implies 9375=ab^5\implies 9375=ab^{2+3}\implies 9375=ab^2 b^3\)
\(\stackrel{\textit{substituting from the 1st equation}}{9375=\underset{ab^2}{(75)} b^3}\implies \cfrac{9375}{75}=b^3\implies 125=b^3 \\\\\\ \sqrt[3]{125}=b\implies \boxed{5=b}\hspace{5em}\stackrel{\textit{we know that}}{75=ab^2}\implies 75=a5^2\implies 75=25a \\\\\\ \cfrac{75}{25}=a\implies \boxed{3=a}\hspace{5em} {\Large \begin{array}{llll} y = 3(5^x) \end{array}}\)
a)
\(\begin{cases} x=0\\ y=j \end{cases}\implies j=3(5^0)\implies j=3(1)\implies j=3 \\\\\\ \begin{cases} x=4\\ y=k \end{cases}\implies k=3(5^4)\implies k=3(625)\implies k=1875\)
Find the 24th term of an arithmetic sequence for which a_1 = 2 and d = 6.
Answer:
140
Step-by-step explanation:
The n th term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 6 , thus
\(a_{24}\) = 2 + (23 × 6) = 2 + 138 = 140
Answer: a₂₄ = 140
Step-by-step explanation:
The formula for an arithmetic sequence is: \(a_n=a_1+d(n-1)\) where
a₁ is the first term of the sequenced is the difference between termsn is the term you are looking forGiven: a₁ = 2, d = 6, n = 24
a₂₄ = 2 + 6(24 - 1)
= 2 + 6(23)
= 2 + 138
= 140
The 24th term is 140.
The College Board publishes mean SAT scores for eight ethnic groups. How many tests are required to make all pairwise comparisons among the eight means
We need to make 28 pairwise comparisons among the eight means to compare the mean SAT scores for each ethnic group.
To make all pairwise comparisons among the eight means, we need to calculate the number of unique pairs of means. The formula for calculating the number of unique pairs is n(n-1)/2, where n is the number of items.
The SAT is a standardized test widely used for college admissions in the United States. The test measures knowledge and skills in reading, writing, and mathematics. The test is scored on a scale of 400-1600, with separate scores for the reading/writing and math sections, each ranging from 200-800. The College Board publishes mean SAT scores for various groups, including ethnic groups, genders, and geographic regions.
In this case, we have 8 ethnic groups, so the number of unique pairs of means is:
8(8-1)/2 = 28
Therefore, we need to make 28 pairwise comparisons among the eight means to compare the mean for each ethnic group.
To learn more about College Board here
https://brainly.com/question/31593481
#SPJ4
The College Board publishes mean SAT scores for eight ethnic groups. How many tests are required to make all pairwise comparisons among the eight means?
evaluate the expression (3 • 2) to the second power
Answer:
6
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
3x2 =6
Then 6 to the 2and power and its 36
Find the area of the rectangle to the right. 9 inches for width and 5y inches for the length
Answer:
The area is 45 inches
Step-by-step explanation:
L×W=A
I don’t know what to dooo or where to start can someone help ^-^
Answer:
I think you have to solve the 2a^2+6a/5 and that i think would be 4a+6a/5 then add the 4 and 6. So 10/5 the you'd get 2a. then Id.k the other one
Step-by-step explanation:
Barbara, Mark, and Carlos participated in the third heat of “The Big Race”. Barbara thought she could win with a 3 meter head start even though she only pedaled meters every 2 seconds. Mark began at the starting line and finished the -meter race in 5 seconds. Meanwhile, Carlos rode his tricycle so that his distance from the starting line in meters could be represented by the equation , where x represents time in seconds.
What is the dependent variable? What is the independent variable?
dependant variable: distance in meters
independant variable: time in seconds
i hope i helped.
The dependant variable are the distance in meters, and the independant variable are the time in seconds.
What are independent and dependent variables?
If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable. The variables who take their values based on some other variables' values are called dependent variables.
Given Distance to travel = 20 m.
We need to determine the time, t, that each participant took to complete 20 m.
Barbara:
Average speed = (3 m)/(2 s)
= 1.5 m/s
Time = t = 20/1.5 = 13.3 s
Mark;
t = 5 s
Carlos;
y = x + 1
where, y = 20 m and x = time, t
Therefore,
t =x = y - 1 = 20 - 1 = 19 s
Summary;
Barbara: 13.3 s
Mark: 5 s
Carlos: 19 s
Hence, The winner is Mark.
The dependant variable are the distance in meters, and the independant variable are the time in seconds.
Learn more about independent variable;
https://brainly.com/question/1479694
#SPJ2
Candice skipped 12 m in 3 seconds. What was her speed in m/s?
A. 4 m/s
B. 3 m/s
C. 12 m/s
Answer:
her speed is answer in m/s A 4 m/a
56. A track coach recorded all runners' times for the 200-meter dash and
wants to summarize the results.
Select the box in each row with the term that completes the
statement. Not all terms will be used.
Mean Median
Interquartile
Range
Range
The coach can use the_to
o
summarize the runners' times.
The coach can use the to
indicate how close all runners'
times were to each other.
Considering that outliers will be disconsidered, the correct statement is:
The coach can use the Interquartile Range to summarize the runners' times.
What is the Interquartile Range(IQR) of a data-set?It is the values of a data-set that are between the 25th percentile and the 75th percentile, that is, the middle 50% of the values. It's advantage in certain situation is that it disconsiders outliers.
In this problem, the best way to summarize the times is disconsidering outliers, hence the Interquartile Range is used, as it indicates how close all runners' times were to each other.
More can be lerned about the Interquartile Range at https://brainly.com/question/17083142
-2x + 3y = 9, solve for x
Answer:
If your going to graph it , it would be x=3/2y+ -9/2
Step-by-step explanation:
Solve the system by substitution
-2x+ 7y = 15
6y=x
The solution to the system of equation is x = -2 and y = -3.
What is system of equations?System of equation can be solved using different method such as elimination method, graphical method and substitution method,
here we have,
Therefore, let's solve the system of equation by using substitution method.
-2x+ 7y = 15
6y=x
substitute the value of x in equation(i)
-2* 6y+ 7y = 15
or, -12y + 7y = 15
or, -5y = 15
or, y = -3
so, we get,
x = 6/ -3
or, x = -2
Hence, The solution to the system of equation is x = -2 and y = -3.
learn more on system of equations here:
brainly.com/question/25535303
#SPJ1