Answer:
None
Step-by-step explanation:
[tex]3b+4-3b=10+3b-3b\\4=10\\\sf Sides\:unbalanced.[/tex]
5. the distance between k(1,-5) and a point l with integer coordinates is v10 units.
find all possible coordinates of point l.
The possible coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).
Given that:-
Coordinates of k = (1,-5)
Distance between point k and point l = 10 units.
We have to find the coordinates of point l.
Let the coordinates of point l be (x,y).
By using distance formula, we can write:-
[tex]\sqrt{(x-1)^2+(y+5)^2} =10[/tex]
Squaring on both sides, we get:-
[tex](x-1)^2+(y+5)^2=100[/tex]
For, integer coordinates, the possibilities are 36+ 64 or 64+36.
Hence, we can write,
[tex](x-1)^2+(y+5)^2 = 36 + 64 \\or\\(x-1)^2+(y+5)^2 = 64 + 36[/tex]
Hence,
[tex](x-1)^2 = 36[/tex]
x - 1 = 6 or x -1 = -6
x = 7 , -5
[tex](y+5)^2 =64[/tex]
y + 5 = 8 or y + 5 = -8
y = 3,-13
or
[tex](x-1)^2=64[/tex]
x - 1 = 8 or x - 1 = -8
x = 9,-7
[tex](y+5)^2[/tex]
y + 5 = 6 or y + 5 = -6
y = 1,-11
Hence, the possible values of coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).
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An 8ft length of 4 inch wide crown molding costs $14. how much will it cost to buy 40ft of crown molding?
It would cost $70 to buy 40 ft of crown molding.
What is cost explain?
Cost is the amount of money spent by a business to produce or create goods or services. It excludes the profit margin markup. Cost is the sum of money spent on making a good or product, as seen from the seller's perspective.8 ft length costs $14
To find the cost of 1 ft length,
Divide through by 8
8ft/8 length costs $14/8
1ft costs $1.75
Now, to find the cost of 40 ft length
1ft costs $1.75
1 ft x 40 would cost $1.75
40 ft would cost $70
Therefore, it would cost $70 to buy 40 ft of crown molding.
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If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
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Mr. Morris borrowed $25,000 from the bank. The time of the loan was 4 years. How much will he pay if the interest rate is 5.25%? (Use simple interest.)
The following is a list of P/E ratios (current stock price divided by company's earnings per share) for 17 companies. 57, 53, 50, 46, 42, 35, 31, 56, 52, 34, 34, 34, 30, 30, 55, 55, 51. Draw the histogram for these data using an initial class boundary of 29.5, an ending class boundary of 59.5, and 5 classes of equal width. Note that you can add or remove classes. Label each class with its endpoints.
The histogram for these data is given at the end of the answer.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
For this problem, there are 5 classes with a range of 30, as 59.5 - 29.5 = 30, hence the class width is of:
30/5 = 6.
From the data-set, we have that:
There are 7 values between 29.5 and 35.5.There are 0 values between 35.5 and 41.5.There are 2 values between 41.5 and 47.5.There are 4 values between 47.5 and 53.5.There are 4 values between 53.5 and 59.5.Considering this, the histogram is given at the end of the answer.
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A random sample of 100 diabetics undergoes genotyping and it was found that 23 of them have the gene. compute the z test statistic needed for this hypothesis test.
The z test statistic needed for this hypothesis test is 0.75 .
Z test is a statistical test that is conducted on data that approximately follows a normal distribution. The z test can be performed on one sample, two samples, or on proportions for hypothesis testing. It checks if the means of two large samples are different or not when the population variance is known.
NOW,
sample proportion = p = x / n = 0.23
Test statistics
z = ( p - p0 ) / [tex]\sqrt{ p0*(1-p0)}[/tex] / n
= ( 0.23 - 0.20) / [tex]\sqrt{ (0.20*0.80) / 100}[/tex]
= 0.75
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Find the volume of the solid generated by revolving the region r bounded by y=e^-2x, y=0, x=0, x=ln9
The volume of the solid generated by revolving the region R bounded by
y = [tex]e^{-2x}[/tex], y = 0, x = 0, x = ln 9 around x-axis = 0.25 cubic units
Given the region R bounded by y = [tex]e^{-2x}[/tex], y = 0, x = 0, x = ln 9.
We will find the volume of the solid obtained by revolving this region around the x-axis through disc integration method.
The disc integration method is used to find the volume of a solid obtained by revolving a region around an axis parallel to x-axis.
Then, volume, V = [tex]\int\limits^0_{ln9} {y^2} \, dx[/tex]
= [tex]\int\limits^0_{ln9} {(e^{-2x})^2} \, dx[/tex]
= [tex]\int\limits^0_{ln9} {e^{-4x}} \, dx[/tex]
= [tex]\frac{e^{-4x}}{-4} |_{x=0\ to \ x=ln9}[/tex]
= [tex]\frac{e^{-4 ln9}}{-4} +\frac{1}{4}[/tex]
= [tex]\frac{9^{-4}+1}{4}[/tex] ≈ 0.25 cubic units
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b. calculate the probability that 30% or more of the sample will be living in poverty. assume the sample is collected in such a way that the conditions for using the clt are met.
0.0 65 is the probability that 30% or more of the sample will be living in poverty.
What is an probability in statistics?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.P(P ≥ 0.34 ) = P ( [tex]\frac{p' - p}{\sqrt{p( 1- p )/n} }[/tex] ≥ [tex]{\frac{0.34 - 0.30}{\sqrt{\frac{0.30 ( 1- 0.30)}{300} } } }[/tex]
= P ( 2 ≥ 1.5119)
= 0.0653
= 0.0 65
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A population has a mean = 79 and a standard deviation = 18. Find the mean and standard deviation of a sampling distribution of sampling means with sample size = 36.
The sampling distribution of sample means is a mean of 79 and a standard deviation of 3.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.
Given that,
Population mean, [tex]\bar{x}[/tex] = 79
Population standard deviation, σ = 18
Sample size, n = 36
We have to determine the mean and standard deviation of a sampling distribution of sample means.
Let X denotes a random variable distributed with a mean and standard deviation of 85 and 28 respectively.
Also, if a random sample of size n is drawn from the population, then the sample mean is denoted by [tex]\bar{x}[/tex].
The sampling distribution of sample means [tex]\bar{x}[/tex] is given by:
ц [tex]\bar{x}[/tex] = ц
σ [tex]\bar{x}[/tex] = σ/√n
Therefore, for the sample size n = 36, the sampling distribution of sample means [tex]\bar{x}[/tex] is obtained as:
ц [tex]\bar{x}[/tex] = 79
σ [tex]\bar{x}[/tex] = 18/√36 = 3
Hence, the required sampling distribution of sample means is mean of 79 and a standard deviation of 3.
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6. The sum of an unknown number and 15 can be represented by the expression n+15. Give a binomial
expression, in simplest form, that represents three times this quantity.
The binomial expression in simplest form which represents three times this quantity is; 3n +45.
Which expression, in simplest form, represents three times this quantity?
According to the task content, it follows that the expression which represents the quantity as defined is to be expressed, in simplest form binomial.
Since the word phrase given in the task content is represented as; n +3.
Hence, three times this quantity as required in the task content is;
3(n +15).
Ultimately, when expressed as a binomial expression by expansion; we have;
(3×n) + (3×15)
=3n +45.
Therefore, the binomial expression in simplest form which represents three times this quantity as required is; 3n +45.
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Solve:
4(x+3)-2=6
SHOW ALL WORK
Answer:
[tex] \sf \large \: x=−1[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+3)−2=6
Step 1: Simplify both sides of the equation.
4(x+3)−2=6
(4)(x)+(4)(3)+−2=6(Distribute)
4x+12+−2=6
(4x)+(12+−2)=6(Combine Like Terms)
4x+10=6
4x+10=6
Step 2: Subtract 10 from both sides.
4x+10−10=6−10
4x=−4
Step 3: Divide both sides by 4.
4x/4 = −4/4
x=−1
equation for y.
1. 2x + y = -9
2x+y=-9
If you want to solve for y, then you would get y = -2x-9
This is the result after subtracting 2x from both sides. This is so we can undo the +2x that happens to the y variable.
Answer:
Infinitely many solutions (If its solved by systems of equations)
y = -2x - 9 (if you ONLY want to solve for y)
Step-by-step explanation:
Well you can solve this is 2 ways. Substitution and Elimination
SUBSTITUTION
2x + y = -9
2x+y=-9
Step 1: Solve 2x+y =−9 for y:
2x+y=−9
2x+y+−2x=−9+−2x(Add -2x to both sides)
y=−2x−9
Step: Substitute −2x−9 for y in 2x+y=−9:
2x+y=−9
2x+−2x−9=−9
−9=−9(Simplify both sides of the equation)
−9+9=−9+9(Add 9 to both sides)
Final answer -----> 0=0
ELIMINATION
2x + y = -9
2x+y=-9
Step 1: Multiply the second equation by -1, then add the equations together.
(2x + y = -9)
-1(2x+y=-9)
Which then becomes:
2x + y = -9
-2x - y = 9
Step 2: Add these equations to eliminate x:
Final answer -----> 0 = 0
What is the polynomial regression?
In order to transform linear regression into polynomial regression, certain polynomial terms are added to it due to the non-linear relationship between the dependent and independent variables.
Let's say we have independent data X and dependent data Y. In the preprocessing stage, we turn the input variables into polynomial terms to some extent before feeding the data to a mode.
As a specific example of multiple linear regression, polynomial regression is a type of linear regression that estimates the connection as an nth degree polynomial. The performance can also be negatively impacted by the existence of one or two outliers since Polynomial Regression is sensitive to outliers.
The connection between the dependent and independent variables is best approximated by polynomial. It may be used for a wide range of functions. In general, polynomial suits a large range of curvature.
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express 2^6 × 2^2 in the form 8^p
The value of the expression 2^6 × 2^2 is 8^2 * 4
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the value of the expression?The expression is given as
2^6 × 2^2
Apply the product law of indices to the above expression
So, we have
2^6 × 2^2 = 2^(6 + 2)
Evaluate the sum in the above expression
So, we have
2^6 × 2^2 = 2^8
Expand the expression
So, we have
2^6 × 2^2 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
This gives
2^6 × 2^2 = 8 * 8 * 4
So, we have
2^6 × 2^2 = 8^2 * 4
Hence, the value of the expression 2^6 × 2^2 is 8^2 * 4
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The area A of a rectangle with dimensions 4x and 5 is described with the inequality 100 ≤ A ≤ 1,000.
Select the compound inequality for the area written in terms of x.
OA. 100 ≤ 10+ 8x ≤ 1,000
OB. 100 ≤ 18x ≤ 1,000
O C. 100 ≤ 9x ≤ 1,000
OD 100 ≤ 20x ≤ 1,000
The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.
We know that, the area of rectangle is given by:
Area = Length × Breadth
Now, we will substitute the values of length as 4x and breadth as 5 in the formula:
= 4x × 5
= 20x
Now. we will substitute this value in the inequality 100 ≤ A ≤ 1,000 to get the compound inequality:
100 ≤ 20 x ≤ 1,000.
Therefore, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.
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The puppy shelter where Clara works is moving to a new building. The rooms in the new building are built to hold 6 puppies each. Clara needs to figure out how many rooms she'll need to house a total of 78 puppies.
Use an equation to find the number of rooms Clara needs.
Answer:
Equation: 6x = 78Rooms: 13Step-by-step explanation:
Let the number of rooms is x.
Each room is built to hold 6 puppies, so x rooms hold 6x puppies.
The equation for this is:
6x = 78x = 78/6x = 13And the solution is 13 rooms.
I need help please ASAP !!!
A Baby mango tree stands 2.6 meters above the ground. Its roots extend 7/5 meters below the ground.
Which of the following expressions represents the vertical distance between the top of the mango tree and the tips of its roots?
Choose 1 Answer:
A. ( 2.6 - 7/5 )
B. ( 7/5 - 2.6 )
C. None of the above
The expressions that represents the vertical distance between the top of the mango tree and the tips of its roots is C. None of the above.
How to calculate the distance?It should be noted that the mango tree stands 2.6 meters above the ground. Its roots extend 7/5 meters below the ground.
In this case, the vertical distance will simply be the difference between the values that are given.
This wasn't written on this case.
Therefore, the correct option is C.
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5) One band rented a van to travel to Omaha. The band started out at 9:00AM, took a break at 9:32AM, and finally arrived in Omaha at 10:04AM. How many minutes did it take the band to reach Omaha?
Answer:
1 hour and 4 minutes
Step-by-step explanation:
Find two consecutive whole numbers that √130 lies between.
The distance between A(-2,4) and B (1,0) is?
A. 2.24
B. 5
C. 25
D. 4
E. -5
=========================================================
Work Shown:
[tex]A = (x_1,y_1) = (-2,4) \text{ and } B = (x_2, y_2) = (1,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-1)^2 + (4-0)^2}\\\\d = \sqrt{(-3)^2 + (4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
I used the distance formula.
A slight alternative is to plot the points to form a right triangle. The hypotenuse is the segment from A to B. Then use the pythagorean theorem to find the hypotenuse. Take note how a 3-4-5 right triangle forms.
Is the function [tex]f(x)=\sqrt{x}[/tex] differentiable at x=0 and continuous over R?
Answer: No
Explanation:
Apply the derivative
[tex]f(x) = \sqrt{x}\\\\f(x) = x^{1/2}\\\\f'(x) = (1/2)x^{-1/2}\\\\f'(x) = \frac{1}{2x^{1/2}}\\\\f'(x) = \frac{1}{2\sqrt{x}}\\\\[/tex]
Though we run into a problem since f ' (0) is undefined, due to the zero in the denominator.
Therefore, f(x) is not differentiable at x = 0.
The function is continuous, but only on the interval [tex]x \ge 0[/tex] and not over the entire set of real numbers R.
X-6
=
Solve:
4(x-8) = 28
Answer: 34
Step-by-step explanation:
this is so in the morning & i need these answers!! :\
Please help me with the photo below thanks
Answer:
A) -12-4-5
B) X^2-X
Step-by-step explanation:
..
..
A. Independent Activity 1 Identify whether the following equations are quadratic equations or not? m( 2m + 3) =0 11t2 (t - 4 ) = 0 5h + h2 = - 7 4b (b - 2 ) = - 8 y2 + 7y - 6 = 0 please answer
1, 3, 4,5
The polynomial equations of degree two in one variable of type f(x) = ax² + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfill the equation (α, β).
It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary nature.
1)m( 2m + 3) =0
2m²+3m=0
Yes it is a quadratic equation.
2) 11t² (t - 4 ) = 0
11t³-44t²=0
NO
3) 5h + h² = - 7
Yes it is a quadratic equation.
4)4b (b - 2 ) = - 8
4b²-8b +8 =0
Yes, it is a quadratic equation.
5) y² + 7y - 6 = 0
Yes it is a quadratic equation.
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What is the value of (−15)3 when evaluated?
Answer:
I couldn't understand the question well
Step-by-step explanation:
(-15) x 3 = -45
(-15)^3 = -3375
Dan and David are marking exam papers. Each set takes Dan 35 minutes and David 1 hour. Express the times Dan and David take as a ratio.
Give your answer in its simplest form
Answer:
35:1
Step-by-step explanation:
Answer:
7 : 12
Step-by-step explanation:
the times must be of the same measure.
1 hour = 60 minutes , then
Dan : David = 35 : 60 = 7 : 12 ← in simplest form
5 - 4k = -7
please help
Answer:
k = 1.75
Step-by-step explanation:
5 - 4k = -7
k = 1.75, because if you subtract 4 from both sides, you are left with 1.75 = -7.
Answer:
k = 3
Step-by-step explanation:
5 - 4k = - 7 ( subtract 5 from both sides )
- 4k = - 12 ( divide both sides by - 4 )
k = 3
(3x5x7) (1/3 + 1/5 -1/7)
Answer:
41
Step-by-step explanation:
(3*5*7)((1)/(3) +( 1)/(5) -(1)/(7))
When you simplify this, the answer is 41.
Answer: 41
Step-by-step explanation:
Explain why it’s a bad or good sample. Every other household in a neighborhood of 20 homes is surveyed to determine the country’s favorite presidential candidate?
Answer:
The sample is not random because every other household is surveyed. This means that the sample is not representative of the entire population.
Step-by-step explanation:
This is the answer because, the entire population is not being surveyed, only every other household.