Quadrilateral ABCD is translated to get quadrilateral A’B’C’D’. Vertex A is at (-5, 2), and vertex A’ is at (2, -2). Quadrilateral ABCD is translated blank. If vertex B is at (-6, 5), then vertex B’ is at blank
Answers
Answer:
vertex B' is at (1, 1)
Step-by-step explanation:
Let us revise the rules of translation of a point
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)Let us use the rules to solve our question
∵ Vertex A = (-5, 2)
∵ Vertex A' = (2, -2)
→ The coordinates of the two points changed which means the
quadrilateral is translated horizontally and vertically
∵ The x-coordinate of A = -5
∵ The x-coordinate of A' = 2
→ Which means it moves to the right, so use the first rule above
∴ the rule of translation is T (x, y) → (x + h, y)
∴ x → x + h
∵ x = -5 and x + h = 2
∴ -5 + h = 2
→ Add 5 to both sides
∴ -5 + 5 + h = 2 + 5
∴ h = 7
∴ The quadrilateral is translated 7 units right
∵ The y-coordinate of A = 2
∵ The y-coordinate of A' = -2
→ Which means it moves down, so use the 4th rule above
∴ the rule of translation is T (x, y) → (x, y - k)
∴ y → y - k
∵ y = 2 and y - k = -2
∴ 2 - k = -2
→ Add K to both sides
∴ 2 - k + k = -2 + k
∴ 2 = -2 + k
→ Add 2 to both sides
∴ 2 + 2 = -2 + 2 + k
∴ 4 = k
∴ The quadrilateral is translated 4 units down
→ Let us find B'
∵ T (x, y) → (x + h, y - k) is the rule of translation
∵ B = (-6, 5)
∵ h = 7 and k = 4
∴ B' = (-6 + 7, 5 - 4)
∴ B' = (1, 1)
∴ vertex B' is at (1, 1)
Quadrilateral ABCD is translated 7 units right and 4 units down. If vertex B is at (-6, 5), then vertex B′ is at (1, 1)
Related Questions
Use the matrix of transition probabilities P and initial state matrix X_0 to find the state matrices X_1, X_2, and X_3. P = [0.6 0.2 0.1 0.3 0.7 0.1 0.1 0.1 0.8], X_0 = [0.1 0.2 0.7] X_1 = [] X_2 = [] X_1 = []
Answers
To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X_0 = [0.1 0.2 0.7]
To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:
X_1 = P * X_0
To calculate X_2, we multiply P with X_1:
X_2 = P * X_1
Similarly, to calculate X_3, we multiply P with X_2:
X_3 = P * X_2
Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.
Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.
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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.
P = [0.6 0.2 0.1
0.3 0.7 0.1
0.1 0.1 0.8]
X₀ = [0.1
0.2
0.7]
To find X₁, we multiply P with X₀:
X₁ = P * X₀
To find X₂, we multiply P with X₁:
X₂ = P * X₁ = P * (P * X₀)
To find X₃, we multiply P with X₂:
X₃ = P * X₂ = P * (P * (P * X₀))
Performing the matrix multiplications, we get:
X₁ = [0.6 0.2 0.1] * [0.1
0.2
0.7] = [0.06 + 0.04 + 0.07
0.03 + 0.14 + 0.07
0.01 + 0.02 + 0.56]
X₁ = [0.17
0.24
0.59]
X₂ = [0.6 0.2 0.1] * [0.17
0.24
0.59] = [0.048 + 0.048 + 0.059
0.023 + 0.168 + 0.059
0.007 + 0.048 + 0.472]
X₂ = [0.155
0.25
0.527]
X₃ = [0.6 0.2 0.1] * [0.155
0.25
0.527] = [0.042 + 0.031 + 0.053
0.021 + 0.175 + 0.053
0.006 + 0.05 + 0.422]
X₃ = [0.126
0.249
0.478]
Therefore, the state matrices are:
X₁ = [0.17
0.24
0.59]
X₂ = [0.155
0.25
0.527]
X₃ = [0.126
0.249
0.478]
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help asap assignment closes soon!
Answers
We multiply the base's area by the prism's height to get the volume of the structure. In this case, the height of the prism is also 9 feet. Therefore, the volume of the triangular prism is 162 cubic feet.
By dividing the base's area by the prism's height, one can determine the volume of a triangular prism. The area of the triangular base can be calculated by using the formula
area of a triangle = \(\frac{1}{2}\) × base × height.
In this case, the base of the triangular prism is 4 feet and the height is 9 feet. Hence, the triangle's base's area is:
\(\frac{1}{2}\) × 4 ft × 9 ft = 18 square feet
Multiplying the area of the base by the height of the prism gives us the volume of the triangular prism:
Volume = Area of triangle × height of the triangle
18 sq ft × 9 ft = 162 cubic feet
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Find a geometric power series for the function, centered at 0, by the following methods. f(x) = 1 / (9+x)
by long division
Answers
The geometric power series for the function f(x) = 1 / (9 + x), centered at 0, using long division is (9 - x) / ((9 + x) * (9 - x)).
Explain (9 - x) / ((9 + x) * (9 - x))?To find a geometric power series for the function f(x) = 1 / (9 + x) using long division, we can start by expanding the function into a fraction:
f(x) = 1 / (9 + x)
To begin the long division process, we divide 1 by 9 + x:
1 ÷ (9 + x)
To simplify the division, we can multiply the numerator and denominator by the conjugate of the denominator:
1 * (9 - x) / ((9 + x) * (9 - x))
Simplifying further:
(9 - x) / (81 - x^2)
Now, we have expressed the function f(x) as a fraction with a simplified denominator. To find the geometric power series, we can rewrite the denominator using the concept of a geometric series:
(9 - x) / (81 - x^2) = (9 - x) / (9^2 - x^2)
We can see that the denominator is now in the form a^2 - b^2, which can be factored as (a + b)(a - b). In this case, a = 9 and b = x:
(9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))
Now, we can express the function f(x) as a geometric power series:
f(x) = (9 - x) / ((9 + x)(9 - x))
f(x) = 1 / (9 + x) = (9 - x) / ((9 + x)(9 - x))
f(x) = (9 - x) / (9^2 - x^2) = (9 - x) / ((9 + x)(9 - x))
f(x) = (9 - x) / ((9 + x) * (9 - x))
f(x) = 1 / (9 + x) = (9 - x) / ((9 + x) * (9 - x))
The geometric power series for the function f(x) centered at 0 is given by (9 - x) / ((9 + x) * (9 - x)).
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I need this answered for me
Answers
Answer:
115-m = Current Sum
25 grams of crackers for $5.00
How much per gram of crackers?
Answers
Answer:
$0.50
Step-by-step explanation:
Answer:
0.20
Step-by-step explanation:
5.00 divided by 25
What is 518.1 rounded to the nearest whole number?
Answers
Answer:
518
Step-by-step explanation:
Since you are rounding to the nearest whole number.
518.1 would need to be 518.5 or higher to be 519 so anything below that would just round up the 518
The linear model d = 0.15+.35t represents the data found for the dive of a local swim team where t represents the duration of the dive in seconds and d is the depth of the dive in feet.
What does the slope represent?
A
That if the dive was increased by 1 second, the depth would increase by about .15 feet.
B
That if the dive was increased by 1 second, the depth would increase by about .35 feet.
C
That if the dive was increased by .15 seconds, the depth would increase by about 1 foot.
D
That if the dive was increased by 35 seconds, the depth would increase by about 1 foot.
Answers
Answer:
B That if the dive was increased by 1 second, the depth would increase by about .35 feet.
Step-by-step explanation:
The coefficient of the variable represents the rate of change
Could anyone give me tips on rationalizing a denominator?
(Lesson 10.1 EXT Big Ideas Math Algebra 1)
Answers
If the denominator is a binomial (a two-term expression), multiply the top and bottom of the fraction by the conjugate of the denominator.
We have,
Rationalizing a denominator:
- If the denominator is a binomial (a two-term expression), multiply the top and bottom of the fraction by the conjugate of the denominator.
The conjugate is formed by changing the sign between the terms.
For example,
The conjugate of √3 - 1 is √3 + 1.
2/√3 - 1 x (√3 + 1) / (√3 + 1)
= 2(√3 + 1) / (3 - 1)
= √3 + 1
This will eliminate the radical from the denominator.
Again,
- If the denominator contains a radical, try to simplify the radical first.
For example,
If the denominator is √12, you can simplify it to 2√3.
Then, multiply the top and bottom of the fraction by the conjugate of the denominator to eliminate the radical.
Thus,
If the denominator is a binomial (a two-term expression), multiply the top and bottom of the fraction by the conjugate of the denominator.
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David's school day is 714 hours long. He has six classes each of which is 34 hour long. How many hours is David not in class when he is at school?
Answers
Answer:
Step-by-step explanation:
David's school day is 7-14 hours long with six classes, each of which is 3-4 hours long. In total, David spends 204 hours in class each school day. Therefore, he is not in class for 510 hours while he is at school.
I need help to find the surface area and round it to the nearest hundredth if necessary. I will send the photo because it does not fit.
Answers
The figure consist of two triangles and three rectangles.
The dimension of rectangles are,
Rectangle 1:
Length L = 10 cm
Width W = 7 cm
Rectangle 2:
Length L = 8 cm
Width W = 7 cm
Rectangle 3:
Length L = 6 cm
Width W = 7 cm
The dimesions of triangles are,
Triangle 1 and triangle 2:
Base b = 6 cm
Height h = 8 cm
Determine the suraface area of closed body.
\(\begin{gathered} A=10\cdot7+8\cdot7+6\cdot7+\frac{1}{2}\cdot6\cdot8+\frac{1}{2}\cdot8\cdot6 \\ =70+56+42+24+24 \\ =216 \end{gathered}\)Thus surface area of figure is 216 square centimeter.
help can you help me I need your help please help me solve that I would really appreciate it
Answers
The factor form of the quadratic equations are listed below:
Case 13: (b - 4) · (b - 2)
Case 14: (n + 4) · (n + 2)
Case 15: 2 · (n + 9) · (n - 6)
Case 16: 5 · (n + 2)²
Case 17: 2 · (k + 5) · (k + 6)
Case 18: (a - 10) · (a + 9)
Case 19: (p + 10) · (p + 1)
Case 20: 5 · (v - 2) · (v - 4)
Case 21: 2 · (p + 2) · (p - 1)
Case 22: 4 · (v - 2) · (v + 1)
Case 23: (x - 10) · (x - 15)
Case 24: (v - 5) · (v - 2)
Case 25: (p + 6) · (p - 3)
Case 26: 6 · (v + 10) · (v + 1)
How to factor a quadratic equation
In this problem we find quadratic equations of the form a · x² + b · x + c, whose factor form is introduced below:
a · x² + b · x + c = a · x² + a · (- r₁ - r₂) · x + a · r₁ · r₂ = a · (x - r₁) · (x - r₂)
Where r₁, r₂ are real roots.
Now we proceed to present the factor form of each quadratic equation:
Case 13
b² - 6 · b + 8 = (b - 4) · (b - 2)
Case 14
n² + 6 · n + 8 = (n + 4) · (n + 2)
Case 15
2 · n² + 6 · n - 108 = 2 · (n² + 3 · n - 54) = 2 · (n + 9) · (n - 6)
Case 16
5 · n² + 10 · n + 20 = 5 · (n² + 2 · n + 4) = 5 · (n + 2)²
Case 17
2 · k² + 22 · k + 60 = 2 · (k² + 11 · k + 30) = 2 · (k + 5) · (k + 6)
Case 18
a² - a - 90 = (a - 10) · (a + 9)
Case 19
p² + 11 · p + 10 = (p + 10) · (p + 1)
Case 20
5 · v² - 30 · v + 40 = 5 · (v² - 6 · v + 8) = 5 · (v - 2) · (v - 4)
Case 21
2 · p² + 2 · p - 4 = 2 · (p² + p - 2) = 2 · (p + 2) · (p - 1)
Case 22
4 · v² - 4 · v - 8 = 4 · (v² - v - 2) = 4 · (v - 2) · (v + 1)
Case 23
x² - 15 · x + 50 = (x - 10) · (x - 15)
Case 24
v² - 7 · v + 10 = (v - 5) · (v - 2)
Case 25
p² + 3 · p - 18 = (p + 6) · (p - 3)
Case 26
6 · v² + 66 · v + 60 = 6 · (v² + 11 · v + 10) = 6 · (v + 10) · (v + 1)
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i need help ASAP. PLEASE.
Answers
Answer:
1st one
Step-by-step explanation:
Karina i making acceorie for the occer team. She ue 593. 11 inche of fabric on headband for 35 player and 2 coache. She alo ue 307. 65 inche of fabric on writband for jut the player. How much fabric wa ued on a headband and writband for each player?
Answers
24.3448 inches fabric wa ued on a headband and writband for each player
593.11 inches of fabric on headband for 35 players and 2 coaches
Total persons=35 players +2 coaches=37
Each person uses 593.11/37 inches of fabrics
=16.03 inches per person
307.65 inches for wristband for players only
Each player uses 307.65/37 inches of fabrics
=8.3148 inches per person
Karina uses 16.03 inches of fabric for headband and 8.3148 inches of wristband for each player
16.03+8.3148
=24.3448 inches of fabric for each player
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Write a word problem using the equation y = -2x+10 with a domain of { 0<_x<_5} and a range of
{0<_y<_10}
Answers
Answer:0,10
Step-by-step explanation:
x|y
0|10
1|8
) (i) Simplify:
Permudahkan:-
9 + 3t - 4
Answers
Answer: =3t+5
Step-by-step explanation:
hope this helped
8.9 #2
Noah is unsure whether the coin and number
cube he has are fair. He flips the coin then rolls
the number cube and records the result. He does
this a total of 50 times. The results are
summarized in the table.
heads
tails
one
5
3
two three
3
5
four
3
لنا
4 5 2
five
3. If one of Noah's 50 results is selected at random, what is the probability that the number cube was 5?
5
1. Create a two-way table that displays the probability for each outcome based on Noah's tests. (Do in workbook)
2. If one of Noah's 50 results is selected at random, what is the probability that the coin was heads?
six
6
6 3
Answers
The probability that the coin was heads is 27/50 and the probability that the number cube was 5 is 16/50.
To find the probability that the coin was heads, we need to calculate the number of times the coin landed heads and divide it by the total number of trials (50 in this case).
From the table, we can see that the coin landed heads a total of 5 + 3 + 5 + 3 + 5 + 6 = 27 times out of 50 trials.
Therefore, the probability that the coin was heads is 27/50.
To find the probability that the number cube landed on 5, we need to calculate the number of times the number cube landed on 5 and divide it by the total number of trials (50 in this case).
From the table, we can see that the number cube landed on 5 a total of 5 + 5 + 6 = 16 times out of 50 trials.
Therefore, the probability that the number cube was 5 is 16/50.
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Ahora elaboramos un cuadro y mencionamos dos ejemplosde diversidad en las personas y dos ejemplos de bien común en la sociedad
Answers
Diversity in People can be seen in terms of:
EthnicityGenderWhat is the diversity in people?In terms of Ethnicity, people from various ethnic traditions bring a rich tapestry of sophistications, traditions, and outlooks to society. Access to Healthcare: Ensuring all has access to value healthcare improves the health and comfort of individuals, offspring, and communities.
In terms of Gender, embracing neutral diversity helps promote equal time for all genders in various fields and fights feminine-based bias. : Providing access to instruction for all members of society, although socio-economic rank, etc.
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See text below
Now we make a table and mention two examples of diversity in people and two examples of common good in society
It is a straight path that goes on without end in two directions. What is it?
A. line
B. plane
C.ray
D. triangle
Answers
The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.
A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.
On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.
A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.
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Solve the equation in standard form
Answers
The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.
To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:
-5/3 x² + 3x + 11 = -9 + 25/3 x²
First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:
-5x² + 9x + 33 = -27 + 25x²
Next, let's combine like terms:
-5x² - 25x² + 9x + 33 = -27
-30x² + 9x + 33 = -27
Now, let's bring all the terms to one side to have a quadratic equation equal to zero:
-30x² + 9x + 33 + 27 = 0
-30x² + 9x + 60 = 0
Finally, we have the quadratic equation in standard form:
-30x² + 9x + 60 = 0
Dividing each term by 3, we get:
-10x² + 3x + 20 = 0
(-2x + 5)(5x + 4) = -10x² + 3x + 20
So, the factored form of the equation -30x² + 9x + 60 = 0 is:
(-2x + 5)(5x + 4) = 0
Now we can set each factor equal to zero and solve for x:
-2x + 5 = 0 --> x = 5/2
5x + 4 = 0 --> x = -4/5
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I NEED SOME HELP
\((\frac{2}{3} )(\frac{15}{4})\)
so I give away points because why not, now you guys have some real math to do.
ʕ•ᴥ•ʔ
Answers
Answer:
\(\frac{2}{3} *\frac{15}{4}\\\)=2/3 ÷4/15=\(\frac{2}{5}\)
Step-by-step explanation:
Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answers
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
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Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
Answers
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
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For each pair of variables, decide whether there is:
• a very weak or no relationship
• a strong relationship that is not a causal relationship
• a causal relationship
_______________________
Explain your reasoning
1. Number of snow plows owned by a city and mitten sales in the city
2. Number of text messages sent per day by a person and number of shirts owned by the person
3. Price of a pizza and number of calories in the pizza
4. Amount of gas used on a trip and number of miles driven on the trip
Answers
Number of snow plows owned by a city and mitten sales in the city - a causal relationship
Number of text messages sent per day by a person and number of shirts owned by the person - a very weak or no relationship
Price of a pizza and number of calories in the pizza - a strong relationship that is not a causal relationship
Amount of gas used on a trip and number of miles driven on the trip - a causal relationship
How do you determine a strong relationship between variables?The strength of a relationship between variables can be determined by calculating the correlation coefficient, which measures the degree of association between two variables.
It's important to keep in mind that correlation does not imply causation, and other factors may be involved in the relationship between variables. Therefore, it's important to carefully interpret the results and consider other relevant information and context.
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How many solutions does the equation −4a + 4a + 3 = 8 have?
Answers
Answer:
none
Step-by-step explanation:
Answer:
It does not have any solution because 3 is not equal to 8
7 The time in minutes (7) taken to cook a joint of beef is given by T-35w +25,
where w is the weight of the joint in kg.
a) How long would it take to cook a 1.5 kg joint?
b) Make w the subject of the formula.
c) What weight of beef needs to be cooked for 207 minutes?
d) What weight of beef needs to be cooked for 3 hours and 48 minutes?
1:11
Answers
In conclusion for part A it would take T - 32.5 minutes to cook a 1.5 kg joint. For part B w is given by the formula w = (T - 25) / (-35). For part C 6.6 kg of beef needs to be cooked for 207 minutes. For part D 5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.
How to solve?
a) To find how long it would take to cook a 1.5 kg joint, we can substitute w = 1.5 into the formula:
T - 35w + 25 = T - 35(1.5) + 25 = T - 32.5
So, it would take T - 32.5 minutes to cook a 1.5 kg joint.
b) To make w the subject of the formula, we need to isolate w on one side of the equation. We can start by subtracting 25 from both sides:
T - 35w = T - 25
Next, we can divide both sides by -35:
w = (T - 25) / (-35)
Therefore, w is given by the formula w = (T - 25) / (-35).
c) To find the weight of beef that needs to be cooked for 207 minutes, we can substitute T = 207 into the original formula:
T - 35w + 25 = 207
Simplifying this equation, we get:
-35w = -232
Dividing both sides by -35, we get:
w = 6.6 kg
Therefore, 6.6 kg of beef needs to be cooked for 207 minutes.
d) To find the weight of beef that needs to be cooked for 3 hours and 48 minutes (which is equivalent to 3 × 60 + 48 = 228 minutes), we can substitute T = 228 into the original formula:
T - 35w + 25 = 228
Simplifying this equation, we get:
-35w = -207
Dividing both sides by -35, we get:
w = 5.91 kg
Therefore, 5.91 kg of beef needs to be cooked for 3 hours and 48 minutes.
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Rewrite the following equation in slope-intercept form. Y + 5 = 1 7 ( x + 7 )
Answers
Answer: y = 17x + 114
Step-by-step explanation:
The equation for the slope-intercept form is y = mx + b.
Arrange the equation so that it resembles y = mx + b.
You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.
y + 5 = 17(x + 7)
y + 5 = 17x + 119
y + 5 - 5 = 17x + 119 - 5
y = 17x + 114
Answer:
Y = 17x + 114
Step-by-step explanation:
1. Y + 5 = 17 (x+7)
2. Y + 5 = 17x + 119 [Multiply the numbers in parenthesis by 17.]
3. Y = 17x + 114. [To keep the balance and move the 5 over, subtract it from 119.]
Mrs. Carter owns a shop specializing in obscure blends of tea. She has combined 1 pound of Darjeeling with 4 pounds of Earl Grey, for a 5-pound mixture that is 20% Darjeeling. After tasting it, she decided to change the mixture to 70% Darjeeling. How much Darjeeling does she need to add to bring it up to the 70%?
a- 8 1/3
b- 7 1/3
c- 12 1/2
d- 6
Answers
Step-by-step explanation:
Here is how you do this problem:
we start off with the ratio of Darjeeling in the tea as 20% which is 1/5
every time we add (x) amount of Darjeeling, the total weight of the mixture would also increase by (x) amount
this idea can be represented by the expression
1 + x
---------- = 0.7
5 + x
I set this equal to 0.7 because our goal is to get it to 70% = 0.7
solving for x should get you to your answer
Answer:
8 1/3
Step-by-step explanation:
the office supply vendor that delivers printer ink to companies charges a subscription fee of 230 for its services plus x dollars for each cartoon of ink. if a company paid 1364 for 18 cartoons of ink, including the subscription fee, what is the value of x?
Answers
The value of x, which represents the cost of each carton of ink is $63.
Let's break down the given information:
The subscription fee for the printer ink service is $230.
The company paid a total of $1364, which includes the subscription fee.
The company purchased 18 cartons of ink.
To find the value of x, we need to determine the cost of the ink cartridges alone, excluding the subscription fee. We can subtract the subscription fee from the total payment to get the cost of the ink:
Total payment - Subscription fee = Cost of ink cartridges
$1364 - $230 = $1134
Now, we divide the cost of the ink cartridges by the number of cartridges to find the cost per cartridge:
Cost of ink cartridges / Number of cartridges = Cost per cartridge
$1134 / 18 = $63
Therefore, the value of x, which represents the cost of each carton of ink, is $63.
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This is a math test soooo try your best. Answers are A. y=x- 2/3
B. y=-2/3x+1
C. y=-3/2x+1
D. y=x-3/2
Answers
Answer:
B
y int is 1, so we know it is +1
Slope is -2/3 :)
In a study of cell phone usage and brain hemispheric dominance, an internet survey was e-mailed to subjects randomly selected from an online group involved with ears. There were surveys returned. Use a 0. 01 significance level to test the claim that the return rate is less than 20%. Use the p-value method and use the normal distribution as an approximation to the binomial distribution.
Answers
The statistics z is -1.878 and the p value is 0.0302
Given,
Number of random sample selected, n = 6967
Number of surveys returned, x = 1331
Estimated proportion of return rate;
p = 1331/6967 = 0.192
Significance level, ∝ = 0.01
z would represent the statistic
We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:
Null hypothesis, p₀ ≥ 0.2
Alternative hypothesis, p₀ < 0.2
The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)
That is,
z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878
Using the alternative hypothesis and the following probability, we can now get the p value:
p value = p(z < - 1.878) = 0.0302
We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.
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