Answer:
x = 6
Step-by-step explanation:
y = -8
x = 8
-x = -8 = y
-x = y
now, when y is -6
-x = y = -6
-x = -6
x = 6
(08.01)Angela wants to know how many families in her neighborhood plan to attend the parade. She puts all 120 of the neighborhood addresses in a hat and draws a random sample of 30 addresses. She then asks those families if they plan to attend the parade. She finds that 40% of the families plan to attend the parade. She claims that 40% of the neighborhood families would be expected to attend the parade. Is this a valid inference?
A) Yes, this is a valid inference because the 30 families speak for the whole neighborhood
B)Yes, this is a valid inference because she took a random sample of the neighborhood
C)No, this is not a valid inference because she did not take a random sample of the neighborhood
D) No, this is not a valid inference because she asked only 30 families
Using sampling concepts, the correct option regarding the validity of the inference is given as follows:
B) Yes, this is a valid inference because she took a random sample of the neighborhood.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents. If I had taken 1000 residents just from Buffalo, it would not be a representative sample.
In this problem, all addresses in the neighborhood are considered, hence a random sample was taken and the correct option is given as follows:
B) Yes, this is a valid inference because she took a random sample of the neighborhood.
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Joe needs to get to his house, which is 106 miles away in 2 hours. How fast does he need to drive? 48 mph 104 mph 0.019 mph 53 mph
Answer:53 mph
Step-by-step explanation:106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.
Answer:
53 mphStep-by-step explanation:
Joe needs to get to his house, which is 106 miles away in 2 hours. How fast does he need to drive?
48 mph 104 mph 0.019 mph 53 mph106 miles is 2 hours = 53 miles in 1 hour (106 : 2)
so your answer is 53 mph
Determine the measure of the indicated angle in the following triangle:
Answer:
Θ ≈ 58°
Step-by-step explanation:
using the Cosine Rule in the triangle
cosΘ = [tex]\frac{80^2+60^2-70^2}{2(80)(60)}[/tex] = [tex]\frac{64000+3600-4900}{9600}[/tex] = [tex]\frac{5100}{9600}[/tex] = [tex]\frac{51}{96}[/tex] , then
Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{51}{96}[/tex] ) ≈ 58° ( to the nearest degree )
Write an equation of the line that passes through the point (8, 1) with slope 5. A. y - 1 = 5(x − 8) B. y − 1 = - -5(x − 8) - C. y - 8 = -5(x - 1) OD. y - 8 = 5(x − 1) Question Progress
Answer:
[tex]y-1=5(x-8)[/tex]
Dion is 4 years older than Agustina. In 3 years the sum of their ages will be 46. How old is Dion now?
Answer:
22
Step-by-step explanation:
Dion (d) is 4 years older than Agustina (a)
d=a+4
In 3 years the sum of their ages will be 46
d+3+a+3=46
d+a+6=46
d+a=40
d=40-a
d=a+4
a+4=40-a
2a=36
a=18
Plug a back in
18+4=d
22=d
d=22
Sorry if this was a little long.
find the value of x for which the fraction 4x +9/7x
Answer:
x = 3
Step-by-step explanation:
Here ,
4x + 9 =7x
--> 4x - 7x = -9
--> -3x = -9
--> ≠ x = -9/3
--> x = 3
Help me solve this question!
Answer:
1st quartile is 136
The second quartile is also the median 142
The third quartile is 162
The interquartile range is the difference between the 3rd and first quartile or 26
Step-by-step explanation:
Function g is defined as g(x) = k f(x). What is the value of k?
What is the value of k?
Answer: Pick an x value like x = 2
Note that f(2) = 1 and g(2) = 2. This shows we've doubled the f(x) value to get g(x). Therefore k = 2.
Or you could pick on x = 4 to see f(4) = 2 and g(4) = 4. The output of f(x) has been doubled as well.
It doesn't matter what x is since we'll have this doubling effect go on. I recommend picking x values where the points on the blue graph land perfectly on a grid location. Something like x = 5 seems a bit tricky.
:
look at the image for any information and the question thank you
The measure of angle CKB (m ∠CKB) is 144°
Calculating anglesFrom the question, we are to determine the measure of angle CKB (m ∠CKB)
First, we will determine the value of x
From the given information,
m ∠KAE = 3x
m ∠KCD = 2x
In the diagram,
m ∠KCD = m ∠AKE (Alternate angles)
∴ m ∠AKE = 2x
Also,
m ∠KAE + m ∠AKE + m ∠AEK = 180° (Sum of angles in a triangle)
3x + 2x + 90° = 180°
5x = 180° - 90°
5x = 90°
x = 90°/5
x = 18°
But,
m ∠CKB = 180° - m ∠AKE (Sum of angles on a line segment)
m ∠CKB = 180° - 2x
m ∠CKB = 180° - 2(18°)
m ∠CKB = 180° - 36°
m ∠CKB = 144°
Hence, the measure of angle CKB (m ∠CKB) is 144°
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simplify 16-4(3x-2)²
16-4(3x-2)²
=16-4(3x-2)(3x-2)
=16+−36x²+48x+−16
=(−36x²)+(48x)+(16+−16)
=−36x²+48x
Answer:
[tex] \red{- 12x(3x - 4)}[/tex]
Step-by-step explanation:
We know that,
[tex](a - b)^{2} = {a}^{2} - 2ab + {b}^{2} \\ [/tex]
Accordingly, let us solve the sum now.
[tex]16 - 4(3x - 2)^{2} \\ 16 - 4(9 {x}^{2} - 12x + 4) \\ 16 - 36 {x}^{2} + 48x - 16 \\ - 36 {x}^{2} + 48x \\ - 12x(3x - 4)[/tex]
Mary had 81 fliers to post around town. last week, she posted 1/3 of them. this week, she posted 2/3 of the remaining fliers. how many fliers has she still not posted?
Answer:
18 posters
Step-by-step explanation:
Posters posted last week: 81/3 = 27 posters
Remaining posters: 81-27 = 54 posters
Posters posted this week: 54/3 = 18*2 = 36 posters
Posters remaining: 54-36 = 18 posters
A distribution in which two nonadjacent values occur more frequently than any other values in a set of data is called a(n):______distribution.
In Bimodal Distribution two nonadjacent values occur more frequently than any other values in a set of data.
According to the statement
we have to tell about the that type of distribution in which two nonadjacent values occur more frequently than any other values in a set of data
A bimodal distribution has two peaks. In the context of a continuous probability distribution, modes are peaks in the distribution.
and from this definition we have clear that the in this distribution the values are repeated.
it shows the probability distribution with two peaks in the graphical mode.
Bimodal distribution show repeated value.
it is used in many types of data representation because of two peaks graphical representation than the simple graph.
it is the easiest method than the others distributions.
So, In Bimodal Distribution two nonadjacent values occur more frequently than any other values in a set of data.
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Find the equation of the line with slope = 6 and passing through (2,20). write your equation in the form y = mx + b.
Answer:
y = 6x + 8
Step-by-step explanation:
y = mx + b
20 = 6(2) + b
b = 8
y = 6x + 8
Please answer questions three to five!
The computation shows that the amount that will be charged will be $5.00 and $9.00 respectively.
How to illustrate the information?When the customer has a 6 pound Chihuahua, the amount that will be charged will be $5.00.
When a customer has a 65 pound Labrador, the amount that will be charged is $9.00.
This is illustrated as the cost is based on the weights given.
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Can someone help me out on this please having trouble on both and show work please !!
The difference of the expression is as follows:
(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5) = - 6y⁴ + 4y² - 12
3(x - 5) - (2x + 4) = x - 19
How to find the difference of the expression?The difference of the expression can be found when we combine the like terms.
Therefore,
(6y⁴ + 3y² - 7) - (12y⁴ - y² + 5)
6y⁴ + 3y² - 7 - 12y⁴ + y² - 5
6y⁴ - 12y⁴ + 3y² + y² - 7 - 5
- 6y⁴ + 4y² - 12
3(x - 5) - (2x + 4)
3x - 15 - 2x - 4
3x - 2x - 15 - 4
x - 19
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I really need help with this question
Answer:
39
Step-by-step explanation:
I assume the father's age is a 2-digit number. He is not 9 years old or younger, and he is not 100 years old or older.
The sum of the digits of a two-digit number goes up by 1 from one number to the next unless the number ends in 9.
For example, from 17 to 18, the sum of the digits goes from 8 to 9.
If the number ends in 9, for example, 29, the digits add to 11. Then the next number is 30, and now the sum of the digits is 3, which is less than 11.
The father's age now is a number whose sum of digits is not only greater than the sum of the digits next year, but it is 3 times greater.
Let's look at 2-digit number and the next number and the sum of their digits.
19, 20; sums: 10, 2; 10/2 = 5, not 3
29, 30; sums: 11, 3; 11/3 ≠ 3
39, 40; sums: 12, 4; 12/4 = 3
Answer: The father is 39 years old.
Answer: 39 years
Step-by-step explanation:
The father says that adding both of the digits in his age will be 3 times greater than adding both digits one year later. Before we even start answering the problem, this tells us that the father's age has 2 digits in it.
Let's represent the 10's digit with x, and the 1's digit with y. If the father's age was 45, for example, x would be 4 and y would be 5.
Let's first make an equation to represent this situation:
The sum of the digits of the father's age would be represented by x + y, as x and y are the 10's digit and 1's digit respectively.
The father's age next year would be one greater than the current year, which makes y become y + 1. Then, the sum of the digits would be x + y + 1.
Now, we must make the first equation 3 times larger than the second and solve for the sum.
[tex]x + y = 3(x+y+1)\\ x+y=3(x+y)+3\\ 1(x+y)-3(x+y)=3\\ -2(x+y)=3\\ x+y=\frac{3}{-2}=-\frac{3}{2}[/tex]
However, we can neither have a fraction or a negative as a sum of two digits in an age, as digits are always positive integers from 0 to 9.
This flaw came from the assumption that after 1 year, the sum of the digits will be x + y + 1. This isn't always true, as any number with its 1's digit of 9 turns into 0 the next year, and not 10. Instead, the x value increases by 1.
For example, someone the age 69 becomes 70 the next year, x increases by 1 and y becomes 0.
Let's make a new equation to try and see this.
We know that his current age has to have y = 9 for his new age to be y = 0. Therefore, the current sum of digits is x + 9.
The next year, we know that the 10's place will increase by 1 and the 1's place becomes 0. Therefore the sum of digits is x + 1 + 0, or x + 1.
Since the current sum of digits is 3 times greater than the sum next year, let's multiply the second equation by 3 to get equality. We just need to calculate the 10's digit, as the 1's digit is already 9.
[tex]x+9 = 3(x+1)\\ x+9=3x+3\\ 9=2x+3\\ 6=2x\\ x=3[/tex]
Since the 10's digit (or x) is 3 and the 1's digit (or y) is 9, the father's age is 39, and he will turn 40 next year.
Use the quadratic model y=-4x^2-3x+4 to predict y if x equals 5
Answer:
y = -4x^2 - 3x + 4
x = 5
y = -4(5)^2 - 3(5) + 4
y = -4(25) - 15 + 4
y = -100 - 15 + 4
y = -114
Step-by-step explanation:
The movement of the progress bar may be uneven because questions can be worth more or less
(including zero) depending on your answer.
What are the exponent and coefficient of the expression 46-³?
The exponent is 3 and the coefficient is -4.
The exponent is -3 and the coefficient is 4.
O
The exponent is -3 and the coefficient is -4.
The exponent is 4 and the coefficient is -3.
m
A math teacher gives a quiz. Each question on the quiz is
worth 8 points. A score of 75 is a passing grade.
Which number of correct answers will result in a passing
grade?
From statement equation, the number of correct answers will result in a passing grade is 9.3
What number of questions is required for passing grade ?Given that each question on the quiz is worth 8 points.
Also given a score of 75 is a passing grade.
Let the number of correct answered questions be x
Thus the total score of the correct answers is 8x
The statement equation is -
⇒ 8x = 75
⇒ x = 75/8 = 9.3
∴ x ≈ 9
Therefore, from statement equation, the number of correct answers will result in a passing grade is 9.3
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use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos^4
The expression cos⁴ θ in terms of the first power of cosine is [ 3 + 2cos 2θ + cos 4θ]/8.
The power-reducing formula, for cosine, is,
cos² θ = (1/2)[1 + cos 2θ].
In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.
We can do it as follows:
cos⁴ θ
= (cos² θ)²
= {(1/2)[1 + cos 2θ]}²
= (1/4)[1 + cos 2θ]²
= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}
= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)
= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]
= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8
= 3/8 + cos 2θ/4 + cos 4θ/8
= [ 3 + 2cos 2θ + cos 4θ]/8.
Thus, the expression cos⁴ θ in terms of the first power of cosine is [ 3 + 2cos 2θ + cos 4θ]/8.
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Simplify:6 to the power of 5/6to the power of 2.
A.1/6 to the power of 3
B.6 ttpo 7
C.6ttpo 2
D.6ttpo 3
The value of 6 to the power of 5/6to the power of 2 is 6 to the power of 3
How to simplify the expression?The expression is given as:
6 to the power of 5/6to the power of 2.
Rewrite properly as:
6^5/6^2
Apply the law of indices
6^(5-2)
Evaluate the difference
6^3
Hence, the value of 6 to the power of 5/6to the power of 2 is 6 to the power of 3
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Instructions: Find the length of the missing sides. Round your
answers to the nearest tenth. (Hint: Always make sure to label
your triangle first with your reference angle)
Degree 54
Hypotenuse 24
How do i find x and y?
The values of x and y are 19 and 14 respectively.
How to determine the lengthGiven the hypotenuse = 24
Opposite = x
Adjacent = y
Let's use the sine ratio to find the opposite side
sin of angle = opposite/hypotenuse
sin 54 = x/24
Cross multiplysin 54 × 24 ,= x
x = 19.42
x = 19
To find the adjacent side, we use cosine ratio
cos = adjacent/hypotenuse
cos 54 = y/25
Cross multiply
cos 54 × 24 = y
y = 14
Thus, the values of x and y are 19 and 14 respectively.
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In a bag of 10 marbles, there are 4 blue, 3 red, 2 green,
and 1 yellow. What is the probability that you draw one
marble that is green, DO NOT replace it, and draw another
marble that is yellow?
1
30
O b. 139
OC. 15
45
a.
O d. 7/19
2
Answer: 1/45
Step-by-step explanation: 10 total marbles. 4 are blue 3 are red 2 are green and 1 is yellow. The chance of drawing a green is 2/10 or 1/5. Then there are only 9 marbles left in the bag. So the chance of a yellow marble is 1/9. 1/5 x 1/9 = 1/45.
18 *2^5t = 261 what is the solution of the equation
Answer:
0.772
Step-by-step explanation:
Original equation:
[tex]18 * 2^{5t}=261[/tex]
Divide both sides by 18
[tex]2^{5t} = 14.5[/tex]
Rewrite in logarithmic form ([tex]b^x=c \implies log_bc=x[/tex])
[tex]log_214.5 = 5t[/tex]
Divide both sides by 5
[tex]\frac{log_214.5}{5}=t[/tex]
Rewrite the equation so that base is 10 using change of base formula: [tex]log_ba = \frac{log_na}{log_nb}[/tex]
[tex]\frac{(\frac{log14.5}{log2})}{5}=y[/tex]
Keep, change, flip
[tex]\frac{log14.5}{log2}*\frac{1}{5} = \frac{log14.5}{5 * log2}[/tex]
Use a calculator to approximate log14.5 and log2
[tex]\frac{1.161368}{5 * 0.301029996} = t[/tex]
Multiply in denominator
[tex]\frac{1.161368}{1.505149978} = t[/tex]
Divide two values
[tex]t\approx 0.771596[/tex]
Round to nearest thousandth
[tex]t\approx 0.772[/tex]
Solve the equation.
1. for parentheses:
distribute
4-2(x+7) =
3(x+5)
2. if necessary:
combine terms
3. apply properties:
add subtract
multiply
divide
4. to start over:
reset the
The value of equation 4-2(x+7)=3(x+5) is that x=-5/7.
Given equation 4-2(x+7)=3(x+5)
We are required to solve the equation for the value of variable x.
Equation is relationship between two or more variables expressed in equal to form.Equation of two variables looks like ax+by=c. It can be a linear equation,quadratic equation, cubic equation. It can be solved for finding the value of variables.
The given equation is 4-2(9x+2)=3(x+5)
It is a linear equation.
We have to first remove the brackets by multiplying the numbers to inside numbers.
4-18x-4=3x+15
Now collect variable x at one end and constant at other end.
-18x-3x=15-4+4
-21x=15
x=-15/21
x=-5/7
Hence the solution of equation 4-2(x+2)=3(x+5) is that x=-5/7.
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Consider this expression.
x
2
+
x
−
72
Replace the values of a and b to rewrite the given expression.
Answer:
(x+9) (x-8)
Step-by-step explanation:
Edmentum/Plato
Can someone please help
Solving the given equation, the value of v that makes the statement true is:
A. v = 8.
What is the given equation?The equation is:
[tex]12 = 12 + \frac{v - 8}{2}[/tex]
Hence:
[tex]\frac{v - 8}{2} = 0[/tex]
Applying cross multiplication:
v - 8 = 0
v = 8.
Hence option A is correct.
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More than 93 percent of all blank______ are distributed as freestanding inserts in newspapers
More than 93 percent of all blank coupons are distributed as freestanding inserts in newspapers.
What is percent?
A percentage solution is a chemical or compound amount or volume per 100 mL of solution. It is a proportion of solute to solvent: X amount/100 ml = X% Percentage solutions are a simple and convenient way to record solution concentrations.A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. It is denoted by the symbol "%."To learn more about percentage visit:
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MAKING BRAINLIEST!!
Find the measure of the angle indicated.
Answer:
127°
Step-by-step explanation:
180°-53°=127°
Angle on a straight line is equal to 180°
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. what does the solution of the system represent in this context? startlayout enlarged left-brace 1st row y = 35 x 2nd row y = negative 0.05 (x minus 400) squared 9,942 endlayout
The correct option is D. the number of sweatshirts for which cost and income are equal.
What is quadratic equation?Any equation that contains only one element which squares the variable and none that raises it to a higher power.
The general form form of quadratic equation is-
ax² + bx + c = 0
According to the question;
Use the substitute method to get the quantity of sweatshirts in which cost and earnings are equal.
The money made by selling sweatshirts is represented by y in the systems of equations' first equation.The cost of producing x sweatshirts featuring team logos for the a professional sport league is represented by y in the second equation.Step 1: Write the following system of equations as the first step.
[tex]\begin{aligned}&y=35 x \\&y=-0.05(x-400)^{2}+9492\end{aligned}[/tex]
Step 2: Replace the value of "y" in the equation (2).
[tex]35 x=-0.05(x-400)^{2}+9492[/tex]
Step 3: Make the equation above simpler.
[tex]35 x=-0.05 x^{2}-8000+40 x+9492[/tex]
Step 4: Write the preceding equation in generalised quadratic form.
[tex]0.05 x^{2}-5 x-1492=0[/tex]
The processes above lead to the conclusion that option D provides the proper statement.
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The complete question is-
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league. What does the solution of the system represent in this context?
y=35x
y=-0.05(x-400)^2+9,492
A. the number of sweatshirts that generate the maximum income
B. the number of sweatshirts that generate the minimum cost
C. the number of sweatshirts for which the difference between cost and income is greatest.
D. the number of sweatshirts for which cost and income are equal
Answer:
D
Step-by-step explanation:
He said so