Answer: a=0
Step-by-step explanation:
-2a + 5a = -3a
3a = -3a
a= 0
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please help, no idea what to do
Find the value of ccc so that the polynomial p(x)p(x)p, left parenthesis, x, right parenthesis is divisible by (x+2)(x+2)left parenthesis, x, plus, 2, right parenthesis. P(x) = 4x^3+cx^2+x+2p(x)=4x 3 +cx 2 +x+2p, left parenthesis, x, right parenthesis, equals, 4, x, cubed, plus, c, x, squared, plus, x, plus, 2 c=c=c, equals.
The value of c after solving the equation is 8.
For the polynomial to be divisible by x+2, hence x = -2
Given
p(x) = 4x³+cx²+x+2
p(-2) = 4(-2)³+c(-2)²+(-2)+2
p(-2) = 4(-8) + c(4)-2+2
p(-2) = -32+4c
If p(-2) = 0
0= -32+4c
-4c = -32
c = 32/4
c = 8
Hence we get the value of c as 8.
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i need your help please!!!!!!! and no fake answers please guys
The measure of the LK us 5 units and the measure of the NL is 6 units after applying intersecting secants theorem.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).
It is given that:
A circle:
Applying intersecting secants theorem:
4(4 + 2) = 3(3 + 2x + 5)
8 = 8 + 2x
x = 0
LK = 2x + 5 = 5 units
In the second circle:
4(4 + x - 8) = 3(3 + x - 5)
x = 10
NL = x - 8 + 4 = 10 - 8 + 4 = 6 units
Thus, the measure of the LK us 5 units and the measure of the NL is 6 units after applying intersecting secants theorem.
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Company g also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by company g are 0. 40 and 0. 66, respectively. The fat quarters sell for $5. 00 each, but are discounted by $1. 50 for each defect found. (c) what are the mean and standard deviation of the selling price for the fat quarters sold by company g?
From the given information given, the mean and standard deviation of the probability distribution is; Y will be 0.4899 and 0.699 respectively.
How to create the probability distribution?
From the given probability distribution, it should be noted that the probability distribution for y will be:
Y 0 1. 2
Probability 0.63. 0.25. 0.12
The mean of Y will be:
Mean = (0 × 0.63) + (1 × 0.25) + (2 × 0.12)
Mean = 0 + 0.25 + 0.25
Mean = 0.49
The variance will be 0.4899. Therefore, the standard deviation will be:
standard deviation = ✓0.4899
Standard Deviation = 0.699
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use the appropriate normal distribution to approximate the resulting binomial distributions. a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit. a random sample of 35 customers is made. if the store owner's claim is correct, what is the probability that fewer than 21 customers in the sample buy coffee during their visit on that certain day of the week? a) 0.7486 b) 0.6915 c) 0.7224 d) 0.5987 e) 0.6628 f) none of the above.
The probability that fewer than 21 customers in the sample buy coffee during their visit on that certain day of the week is 0.7224. Hence option C is the correct option.
What is the binomial distribution?
When each trial has the same probability of achieving a given value, the number of trials or observations is summarised using the binomial distribution. The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.
The formula for z-score is z = (x -μ)/σ
Where, μ is mean of the sample, σ is standard deviation of the sample
Given that 55% of the customers buy coffee, hence p = 55% = 0.55
Sample of 35 customers, hence n = 35.
For the binomial distribution μ = np, σ = √[np(1-p)]
The mean and the standard deviation of the approximation are:
μ = 35 ˣ 0.55 = 19.25
σ = √[35 ˣ 0.55(1-0.55)] =2.943
Now calculate the z score where μ = 19.25, σ = 2.943 and X = 21
z = (21 -19.25)/2.943
z = 0.59
The value of p is 0.2776 when z score is 0.59.
The probability is 1 - 0.2776 = 0.7224.
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the solar system is 25 000 light years from the center of our milky way galaxy. one light year is the distance light travels in one year at a speed of 3.0 x108 m/s. astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s what is the period of the solar system’s orbit. give your answers in years?
The period of the solar system's orbit is 2.05 x 108 years.
What is the time period?
A period is a number that in algebraic geometry can be expressed as the integral of an algebraic function over an algebraic domain. Periods form a ring because their sums and products always remain in the same period.
Don Zagier and Maxim Kontsevich presented some theories and gave a survey of the eras. Periods also appear when computing the integrals that result from Feynman diagrams, and extensive work has been done to understand the relationships.
Solution Explained:
Given,
Radius of the solar system, r=25000 light year
Speed v=230 km/s
Calculate time period by
T = 2πr / v
T = 2πr X (25000 X 3 X 10^8 X 365 X 24 X 60 X 6) / (230 X 10^3)
= 6.46 X 10^15 X (1 year / 365 X 24 X 60 X 60)
= 2.05 X 10^8 years
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For the holidays, Kenji is driving to visit his grandparents who live 402 miles away. Kenji's car
gets 33.5 miles per gallon of gas when he is driving on the highway. In order to budget for
his trip, Kenji wants to know how much gas he will need.
Use an equation to find how much gas Kenji needs for the drive.
Kenji needs
gallons of gas.
By solving a linear equation, it can be calculated that-
Kenji needs 12 gallons of gas for the drive
What is a linear equation?
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here, a linear equation needs to be solved
Let Kenji requires x gallons of gas
Kenji's car gets 33.5 miles per gallon of gas when he is driving on the highway.
Kenji can travel 33.5x miles with x gallons of gas
Distance to be travelled = 402 miles
By the problem,
The required linear equation is
33.5x = 402
x = [tex]\frac{402}{33.5}[/tex]
x = 12 gallons
Kenji needs 12 gallons of gas for the drive
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Which graph shows y=2⌈x⌉−3 ???
Answer: the first 1
Step-by-step explanation:
i just did it hope it helps
based on past experience, a hiring manager believes that less than one-third of applicants are actually qualified for an entry-level position. suppose that in a random sample of 144 applicants for this position, 63 are found to be qualified. do the sample data support the manager's belief? test the relevant hypotheses using a
The no. of people qualified is less than the managers belief of 0.265
What is P-value?
The likelihood of receiving outcomes from a statistical hypothesis test that are at least as severe as the actual results provided the null hypothesis is true, is known as the p-value in statistics. The p-value provides the minimal level of significance at which the null hypothesis would be rejected as an alternative to rejection points. The alternative hypothesis is more likely to be supported by greater evidence when the p-value is lower.
P-value is frequently utilised by government organisations to increase the credibility of their research or reports. The United States Census Bureau, for instance, mandates that any analysis with a p-value higher than 0.10 be accompanied by a statement stating that the difference is not statistically significant from zero.
Here [tex]H_{0}[/tex] - P =1/3=0.3333
Hi - P <0.3333
Given n =144
x = 63
P^=63/144=0.4375
Test Static = [tex]\frac{P^-P}{\sqrt{\frac{PQ}{n} } }[/tex]
= [tex]\frac{0.4375^-0.3333}{\sqrt{\frac{0.3333-(1-0.3333)}{144} } }[/tex]
=0.265
P-value =P(Z<2.65)=0.9960, Given [tex]\alpha[/tex] =0.05
here P-Value >[tex]\alpha[/tex]
So, don't reject [tex]H_{0}[/tex]
There is no evidence to support the manager's Belief That less Than 1/3 of Applications are qualified
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Confusing! Plsss Help!!!!!!
Answer:
y = 120°
Step-by-step explanation:
Given a triangle with external angle y and remote internal angles 33° and 87°, you want the measure of y.
External angleThe external angle is the sum of the remote internal angles:
y = 33° +87°
y = 120°
__
Additional comment
Angle x is supplementary to y, so its measure is ...
x = 180° -y = 180° -120°
x = 60°
Hopefully, you notice that the value of x is ...
x = 180° -(33° +87°)
This is the same value you get when you solve the equation for the sum of angles in the triangle:
33° +87° +x = 180°
Effectively, the rule regarding the external angle being the sum of remote internal angles is another way of saying the sum of angles in a triangle is 180°.
Point p’ is the image of p (5,-5) under translation by 2 units left and 5 units up what are the cordinates of p’
Answer: (3,0)
Hope this helps! :)
Step-by-step explanation: Think of graphing, like regular number lines. The numbers are either positive or negative and depending on the integer you add or subtract, the number on the line will either move left or right.
x= 5 (x on a coordinate plane is left to right)
2 units left
5-2=3
y= -5 (y on a coordinate plane is top to bottom)
5 units up
-5+5=0
(3,0)
Answer:
(3,0)
Step-by-step explanation:
x= 5-2 = 3
y= -5+5 =0
Round 565.948063818 to 1 decimal place
Answer:
565.9
Step-by-step explanation:
The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.
The likelihood that a shooter will hit the target at least 13 times is 27.92%.
Define the phrase "binomial distribution" please.The number of times the target is hit, X, has to be a random variable.The amount of trials ("n") equals 10 as a result of 15 bullets being fired.In such a binomial distribution, "p" symbolizes the probability of success and "q" represents the probability of failure (where q = p - 1)p = 0.89 with q = 0.11 as a result of the 0.89 chance of hitting the target.For such a binomial distribution, the probability density function equals the amount of successes ("x").
P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
The required number of achievements is five (i.e., x = 13), as we are keen in the development that the objective will be hit exactly five times.
P(X = 13) = ¹⁵C₁₃. (0.89)¹³ (0.11)²
P(X = 13) = 0.2792
P(X = 13) = 27.92%
Therefore, there is a 27.92% chance that a shooter will hit the target at most 13 times.
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When we do a confidence interval for the mean, we use the following distribution to determine the number of standard deviations needed for our confidence:
t-distribution z-distribution
skewed distribution Chi Square distribution
When we do a confidence interval for the mean, we use T-distribution to determine the number of standard deviations needed for our confidence
The T-distribution is a way to describe a collection of observations in which the majority of the observations are close to the mean and the remaining observations are the tails on either side. It is a type of normal distribution that is utilized for data with unknown variance and smaller sample sizes.
We use the T-distribution to obtain the required critical value, which is nothing more than the number of standard deviations from the center taken to obtain the confidence interval, despite the fact that there is no population standard deviation and only sample metrics—the sample mean and standard deviation—are used. As a result, the solution to this problem is T-distribution.
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What is the value of √m = ∓ 17
Answer:
What is the value of √m = ∓ 17
The value of √m = ∓ 17 is undefined.
the bookstore marked some notepads down from $2.00 but still kept the price over $1.00. it sold all of them. the total amount of money from the sale of the pads was $29.45. how many notepads were sold? what was the price of each notepad?
There were 13 notepads, each of which cost $1.05 when the bookstore reduced the price of various notepads from $2.00 to $1.00.
Given that,
The bookstore reduced the price of various notepads from $2.00 to $1.00 while maintaining the price. The whole lot was sold. The selling of the pads generated a total profit of $29.45.
We have to find what number of notepads were sold and how much did each notepad cost.
We know that,
One approach to solving this issue is to divide $29.45 by each of the values from $1.01 to $1.99. That is the price for each notepad if one of them fits evenly with no leftovers. The number of pads is the quotient (result of division). The number has to be placed evenly because we cannot use half of the pad (leave no remainder).
Although we can check each of them, I realized that $29.45 ends in a 5 and is therefore divisible by 5, so I chose to check 1.05 as a potential price and it entered evenly. 13 is the quotient.
Therefore, There were 13 notepads, each of which cost $1.05 when the bookstore reduced the price of various notepads from $2.00 to $1.00.
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if you good at geometry help pls lol
find the rate of change of the area of a square when the side of the square is 2 meters and the side is growing at a rate of 3 meters per second.
The rate of change of the area of a square is 12m^2/sec.
What do you mean by rate of change?
The term "rate of change" refers to the rate at which one quantity changes in respect to another. Consequently, if y value is the dependent variable and x value is the independent variable.
Rate of Change is equal to [tex]\frac{Change in y}{Change in x}[/tex].
Change rates may be positive or negative. This reflects a change in the y-value between the two data points, either up or down. Zero rate of change is the state where a quantity does not change over time.
Solution Explained:
Given,
S = 2m and ds/dt = 3m/s
So, we use
Area = s^2
dA/dt = 2s ds/dt
= 2 X 2 X 3
Therefore, the rate of change of the area is 12m^2/s.
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how many sequences of 0s and 1s of length 19 are there that begin with a 0, end with a 0, contain no two consecutive 0s, and contain no three consecutive 1s? (2019 amc 10 b)
There are 65, 19-bit sequences of 0s and 1s that start with a 0 and end with a 0 that exist.
Explain the term sequences?A grouping of numbers in such a specific order is known as a sequence. On the other perspective, a series is described as the accumulation of a sequence's constituent parts.Any subsequent 0 in the sequence must come exactly two or three spots down from the previous one.
We begin at point 1 and finish at position 19 in this instance.
That is, we advance along the line a whole of 18 positions.
In order to achieve 18, we must add all series consecutive 2s and 3s.
There are numerous methods for doing this:
Case 1: There is just one possible arrangement for nine 2s.
Case 2: Two 3s with six 2s - thus ⁸C₂ ways = 28 ways
Case 3: Four 3s with three 2s - thus ⁷C₄ ways = 35 ways
Case 4: Six 3s - Only 1 way to arrange.
Thus, the number of arrangements = 1 + 28 + 35 + 1 = 65 .
Therefore ,the total possible number of the sequence that cane be made is 65 .
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do not guess please ty
Answer:
Step-by-step explanation: find a point and find another point
y=1x+1/2
I need answers as soon as possible.
Answer:78 feet and 34 cubic feet
Step-by-step explanation:
Solve for 3z-1 = 1
what is Z
Answer:
x=2/3
Step-by-step explanation:
3x - 1 = 1
+ 1 + 1
---------------
3x = 2
÷3 ÷3
------------------
x=2/3
-----------------------
using subtraction and division properties of equality, you can simplify the expression to solve it. you can use other properties of equality for different equations as well, but for this one you only need subtraction and division. :)
Dubai, United Arab Emirates set a record temperature for 49 ° C What does the number 49 mean
Answer: It means that the high in Dubai is 49
Step-by-step explanation: When saying about the weather, we always say the highest temperature first, so that mean 49 here is the high temperature in Dubai.
If you can please give me a Brainliest, I only need 1 more to become an Ace, thank you!
Answer:
The mercury is expected to cross the 49°C mark again later today.
solve (x+21)+(2x+9)=90
Answer:
The answer is x=20
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
(x+21)+(2x+9)=90
x + 21 + 2x + 9 = 90
combine numbers on left side:
x + 30 + 2x = 90
combine x terms on left side:
3x + 30 = 90
subtract 30 from both sides:
3x + 30 -30 = 90 - 30
3x = 60
divide both sides by 3:
3x/3 = 60/3
x = 20
An exponential growth function represents a quantity that has a constant
doubling time.
O A. True
OB. False
Answer:
false
Step-by-step explanation:
Hope it helps!
Solve the inequality
2/7 > b + 5/7
Answer:
-3/7 > b
Step-by-step explanation:
subtract 5/7 on both sides
a woman decides to purchase a $23,800 car and makes a down payment of $3,500. she arranges to borrow the remainder from a bank that will charge her 4.5% interest. she will make monthly payments for 4 years. a. find her monthly payment amount.
The monthly payment amount a woman has to pay for the car is $462.91.
Here we have to find the monthly payment amount.
The cost of car = $23,800
Down payment = $3,500
Rate(r) = 4.5%
time(t) = 4 years
Periodic interest(i) = 0.045/12
Formula to calculate monthly payment:
A = P i( 1 + i[tex])^{n}[/tex] / ( 1 + i[tex])^{n}[/tex] - 1
Loan amount = 23800 - 3500
= $ 20300
A = 20300 ( 0.045 /12 ( 1 + 0.045/12[tex])^{48}[/tex])/ (1 + 0.045/12[tex])^{48}[/tex] - 1
= 20300× 0.004488 / 0.196814
= 462.91
Therefore the monthly payment is $462.91.
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compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them. (4 points)compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them. (4 points)
The slope of a function is defined as the change in y-coordinate with respect to the change in x-coordinate of the line.
m = Δy/Δx
∆y --> net change in the y coordinate
∆x ---> net change in x coordinate
m ---> slope of fution
The y-intercept of both functions 'f' and 'g' are equal and slope of f(x) is less than the slope of g(x). So, the correct option is option (A).
We have given a function, g (x) = 2x + 1
comparing the g(x) with standard equation
y = mx + b
where m is slope of this line
b --> y-intercept
Thus we get m = 2 , b= 1 . So, the slope of g(x) is 2 and y-intersecpt is 1 .
Now, we have a table for function f(x) that is function f(x) passing through all points as given in table. The slope of function passing through (h,k) and (a,b) is expressed as (k-b)/(h-a)
Thus, slope of function 'f' passing through (0,1) and (2,4) = (1-4)/(0-2) = -3/-2
= 3/2
=> f (x) = (3/2)x + b
where , b --> y-intercept
plug the value x= 4 and corresponding to it
f(x) = 7 we get , 7 = 3/2× 4 + b
=> b = 7-6 = 1
Therefore, slope of function g(x) is greater than slope of function f(x) and y-intercept of f(x) is equal to y-intercept g(x) .
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Complete question:
The Table represents the linear function f(x), and the equation represents the linear function g(x). Compare the y-intercepts and the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
x / f(x)
0/1
2/4
4/7
g(x)= 2x+1
A. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
B. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
C. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
D. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
7/9 divided by 4/3 please help i need help
Answer: 7/12
Step-by-step explanation: First, flip the 4/3 to its reciprocal and change it to multiplication. Then, you can simplify the 9 and 3 to 3 and 1. After that, multiply straight across. Hope this helps! :)
Answer:
1. 7/9 ÷ 4/3 As a fraction) 21/36
2. 7/9 ÷ 4/3=21/36 as a simplified fraction) 7/12
3. 7/9 ÷ 4/3 As a decimal) 0.583
4. 7/9 ÷ 4/3 As a percentage) 58.3%
Let's see how it's done!
7/9 ÷ 4/3:
7/9 ÷ 4/3 (Invert or flip the second fraction and multiply across)
7/9 x 3/4 = 21/36
How to simplify 21/36
21/36 ÷ 3 (Divide the numerator "the top part of the fraction" and the denominator "the bottom part of the fraction" by 3. This will equal 7/12
How to turn 21/36 into a decimal
21 divided by 36 = 0.5833333333333333...
Round to the nearest thousandth: 0.583
How to turn 0.583 into a percent
Move the decimal point 2 places to the left, drop the zero(s)
and add the percent sign! 58.3%
These are all the same answer but in different forms and how to do them!
Hope it helps!
Let be the vector space of polynomials in with degree less than 3 and be the subspace.
the polynomial will be 2x² + 11x+6, with degree less than 3 and be the subspace.
What is vector space?
A collection of vectors collected collectively and multiplied ("scaled") by scalars forms a vector space, also known as a linear space. Real numbers are typically thought of as scalars. Nevertheless, there aren't many instances of scalar multiplication with vector spaces using rational, complex, etc. numbers. Axioms and other preconditions must be met by the vector addition and scalar multiplication techniques. A space made up of vectors is referred to as a vector space when the addition of vectors is governed by the associative and commutative law and when vectors are multiplied by scalars is governed by the associative and distributive process.
W = span (9x-4-2x²,5+x+2x²)
Now, a(9x42x²)+b(5+x+2x²) = 0
⇒(9a+b)x+(2b-2a)x² + (5b-4a) = 0
⇒9a+b= 0; 2b2a = 0; 5b-4a=0
a = b =0
p(x)=(9x-4-2x²) + 2(5+x+2x²) = 9x-4-2x² + 10 + 2x + 4x² = 2x² + 11x+6
Hence the polynomial will be 2x² + 11x+6.
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