the correct scatter diagram that fits the given paired data is option A, as shown in the attached image.
The scatter plot that fits the given paired data is as follows:
Firstly, the data needs to be paired correctly: Systolic Blood Pressure | Diastolic Blood Pressure119 125131 130123 118118 142138 125131 128140 123Then the data pairs are plotted on a graph to create a scatter plot. It is a graph that shows the relationship between two sets of data. In this case, the Systolic blood pressure is on the horizontal axis (X-axis) and the Diastolic blood pressure is on the vertical axis (Y-axis).
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A store employee notices that rowboats that cost his store 79$ are being sold for 175$. What percentage is the mark up?
Answer:
Step-by-step explanation:
Step 1. Determine the dollar amount of the markup
175 - 79 = 96
Step 2: Divide the markup Amount by the Cost
96/79 = 1.215
Step 3: Multiply by 100 and add the % sign
1.215 x 100 = 121.5%
The hip width x of adult females is normally distributed with a mean of 37.6 cm and a standard deviation of 4.36 cm. The maximum width of an aircraft seat that will accommodate 98% of all adult women is about: (Give your answer to one decimal places if necessary.)
Answer:
Step-by-step explanation:
To find the maximum width of an aircraft seat that will accommodate 98% of all adult women, we need to determine the corresponding z-score for the 98th percentile of the normal distribution.
First, we find the z-score corresponding to the 98th percentile using a standard normal distribution table or calculator. The z-score for the 98th percentile is approximately 2.05.
Next, we use the z-score formula to find the corresponding value in the original distribution:
z = (x - μ) / σ
Solving for x (the maximum width of the aircraft seat):
x = z * σ + μ
Substituting the values given:
x = 2.05 * 4.36 + 37.6
x ≈ 45.98
Therefore, the maximum width of an aircraft seat that will accommodate 98% of all adult women is approximately 46 cm (rounded to one decimal place).
I need help please!!
Answer:
(r q)(-3) = -3
(q r)(-3) = -3
Step-by-step explanation:
let x = 1
q(1) = -1 +2 = 1
r(1) = 1² = 1
(r q)(-3) = ?
(1×1)(-3) = -3
(q r)(-3) = ?
(1×1)(-3) = -3
it is my first time taking my baby to the cinemas in Junes 2023, and the cinemas have sales because there are tons of kids' movies to be seen. For adults the ticket costs 70$ and for children it costs 30$, which tickets sell like 1000$ a day leading to 31000 a month. Calculate the number of tickets that were sold for adults and children in a day. A+C=1000 70+30=31000.
A+C=1000
70+30=31000
if we wanted to extend this discussion beypnd what has been shared so far, what additional question could we ask?
Step-by-step explanation:
If we wanted to extend the discussion beyond what has been shared so far, an additional question we could ask is:
"What is the ratio of adult tickets to children's tickets sold in a day?"
This question would provide insight into the distribution of ticket sales between adults and children and help us understand the demand for different movie genres or screenings among the audience.
A group of adults were asked how many children they have in their families. The bar graph below shows the number of adults who indicated each number of children. 4+ 3.5+ 3- 2.5 2- 1.5- 1 0.5- 0 1 2 Number of Children How many adults were questioned? m St 4 5 What percentage of the adults questioned had 2 children? Round answer to 1 decimal place. %
Answer:
Step-by-step explanation:
To determine the percentage of adults who had 2 children, we need to first find the total number of adults questioned.
Looking at the bar graph, we can see that the bar representing 2 children has a height of 2.5. This means that 2.5 adults indicated having 2 children.
Let's assume the total number of adults questioned is "m". According to the bar graph, the sum of the heights of all the bars represents the total number of adults questioned.
From the bar graph, we can see the following:
The bar representing 4+ children has a height of 4.
The bar representing 3- children has a height of 3.5.
The bar representing 2- children has a height of 2.5.
The bar representing 1- children has a height of 1.5.
The bar representing 1 child has a height of 1.
The bar representing 0.5- children has a height of 0.5.
The bar representing 0 children has a height of 0.
To find the total number of adults questioned (m), we sum up the heights of all the bars:
m = 4 + 3.5 + 3 + 2.5 + 2 + 1.5 + 1 + 0.5 + 0
m = 18
Therefore, the total number of adults questioned is 18.
To find the percentage of adults who had 2 children, we divide the number of adults with 2 children (2.5) by the total number of adults questioned (18) and multiply by 100:
Percentage = (2.5 / 18) * 100
Percentage ≈ 13.9 (rounded to 1 decimal place)
Therefore, approximately 13.9% of the adults questioned had 2 children.
In a sample of 5,000 students , the mean GPA is 2.80 and the standard deviation is 0.35. Assume the distribution to be normal.
How many students score below 2.60?
In a sample of 5000 students, the mean GPA is 2.80 and their standard deviation is 0.35 and 1428 students score below 2.60.
To find the number of students scoring below 2.60, we need to calculate the area under the normal distribution curve to the left of this value.
First, we need to standardize the value of 2.60 using the z-score formula: z = (x - μ) / σ, where x is the value (2.60), μ is the mean (2.80), and σ is the standard deviation (0.35). Plugging in the values, we get z = (2.60 - 2.80) / 0.35 = -0.57.
Now, we can use a standard normal distribution table or a statistical calculator to find the area to the left of -0.57. Consulting a standard normal distribution table, we find that the area to the left of -0.57 is approximately 0.2857.
To calculate the number of students scoring below 2.60, we multiply this area by the total number of students in the sample: 0.2857 * 5000 ≈ 1428.5.
Since the number of students must be a whole number, we round down to 1428 students.
Therefore, approximately 1428 students score below 2.60 in the sample of 5000 students, assuming a normal distribution with a mean of 2.80 and a standard deviation of 0.35.
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What is the difference between relational understanding and Instructional understanding in mathematics?
you are a trainer . .you have developed a 5 week training course for 20 trainees that will cost $140,000. what is the cost per trainee
The cost per trainee for the 5-week training course is $7,000.
To find the cost per trainee, we divide the total cost of the training course by the number of trainees.
Total cost of the training course = $140,000
Number of trainees = 20
Cost per trainee = Total cost of the training course / Number of trainees
Cost per trainee = $140,000 / 20
Cost per trainee = $7,000
Therefore, the cost per trainee for the 5-week training course is $7,000.
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Which of the segments below is a secant?
A. XY
B. UZ
C. XO
if 2540cm is increase by 15%, the result is
Answer:
2921
Step-by-step explanation:
[tex]2540 + 2540 * \frac{15}{100} \\\\= 2540 + 381\\\\= 2921[/tex]
HELP THIS QUESTION IS HARD
Answer:
a)
[tex] \frac{1}{( - 7)^{4} } [/tex]
Answer:
[tex](-7)^-^4=\frac{1}{(-7)^4}[/tex]
Step-by-step explanation:
The user aswati already wrote the correct answer, but I wanted to help explain why their answer is correct so that you'll understand.
According to the negative exponent rule, when a base (let's call it m) is raised to a negative exponent (let's call it n), we rewrite it as a fraction where the numerator is 1 and the denominator is the base raised to the same exponent turned positive.
Thus, the negative exponent rule is given as:
[tex]b^-^n=\frac{1}{b^n}[/tex]
Thus, [tex](-7)^-^4[/tex] becomes [tex]\frac{1}{(-7)^4}[/tex]
10 donuts cost $2.99 how much 1 cost?
Divisores pares de 100
Answer:
2, 4, 10, 20, 50, and 100.
Step-by-step explanation:
Evaluate leaving your answer in a standard form 0.0048*0.81 /0.027*0.04
Step-by-step explanation:
When we simplify the expression, we get:
0.0048 * 0.81 / 0.027 * 0.04 = (0.0048 / 0.027) * (0.81 / 0.04)
Using a calculator to evaluate the two fractions separately, we get:
0.0048 / 0.027 ≈ 0.1778
0.81 / 0.04 = 20.25
Substituting these values back into the original expression, we get:
(0.0048 / 0.027) * (0.81 / 0.04) ≈ 0.1778 * 20.25
Multiplying these two values together, we get:
0.1778 * 20.25 ≈ 3.59715
To express the answer in standard form, we need to write it as a number between 1 and 10 multiplied by a power of 10. We can do this by moving the decimal point three places to the left, since there are three digits to the right of the decimal point:
3.59715 ≈ 3.59715 × 10^(-3)
Therefore, the final answer in standard form is approximately 3.59715 × 10^(-3).
JLK is similar to PQR find the value of X
Answer:
30
Step-by-step explanation:
22/33=20/x
cross multiply
22x=33x20
22x=660
x=660/22
x=30
A hose fills a hot tub at a rate of 2.82
gallons per minute. How many hours will it take to fill a 303
-gallon
hot tub?
Answer:
Step-by-step explanation:
60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours
¿Cuál es el costo de un plátano si el racimo de 22 plátanos cuesta $23.10?
The cost of a single unit is given as follows:
$1.05.
El costo de un plátano es el seguiente:
$1.05.
How to obtain the cost of a single unit?The cost of a single unit is obtained applying the proportions in the context of the problem.
The cost of 22 units is of $23.10, hence the cost of a single unit is obtained dividing the total cost by the number of units, as follows:
23.1/22 = $1.05.
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Find the area of the region bounded by the graphs of f(x) = x^3 + x^2 - 6x and g(x) = 2x - x^2
The area of the region bounded by the graphs of [tex]f(x) = x^3 + x^2 - 6x[/tex] and [tex]g(x) = 2x - x^2[/tex] is 69 1/3 square units.
To find the area of the region bounded by the graphs of the functions [tex]f(x) = x^3 + x^2 - 6x[/tex] and [tex]g(x) = 2x - x^2[/tex], we need to determine the points of intersection and evaluate the definite integral.
First, let's find the points of intersection by setting f(x) equal to g(x):
[tex]x^3 + x^2 - 6x = 2x - x^2[/tex]
Rearranging the equation, we get:
[tex]x^3 + 2x^2 - 8x = 0[/tex]
Factoring out an x, we have:
[tex]x(x^2 + 2x - 8) = 0[/tex]
Using the quadratic formula, we find the solutions for [tex]x^2 + 2x - 8 = 0[/tex] to be x = -4 and x = 2. Therefore, the points of intersection are (-4, -16) and (2, 4).
To calculate the area, we integrate the difference of the two functions within the bounds of -4 to 2:
Area = ∫[from -4 to 2] (f(x) - g(x)) dx
Evaluating the definite integral, we have:
Area = ∫[-4 to 2] [(x^3 + x^2 - 6x) - (2x - x^2)] dx
= ∫[-4 to 2] (x^3 + 2x^2 - 8x) dx
Integrating each term and evaluating the integral, we find:
Area = [1/4x^4 + 2/3x^3 - 4x^2] from -4 to 2
= [(1/4)(2)^4 + (2/3)(2)^3 - 4(2)^2] - [(1/4)(-4)^4 + (2/3)(-4)^3 - 4(-4)^2]
= [4/4 + 16/3 - 16] - [16/4 + (-128/3) - 64]
= 1/3 + 128/3 - 16 + 4 - 128/3 + 64
= 1/3 + 4 + 64
= 69 1/3
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Pregunta 1
Resuelve el siguiente problema aplicando las estrategias de solución de problemas.
• El área de un triángulo es de 30 pies cuadrados y la base mide 5 pies. ¿Cuál es la
altura del triángulo en pulgadas?
Answer:
I can't understand the language but try people who can
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $175,000. Round the final answer to the nearest hundredth.
Answer:
the effective tax rate for a taxable income of $175,000 is approximately 21.02%.
Step-by-step explanation:
Let's break down the income into the corresponding tax brackets:
The first $10,275 is taxed at a rate of 10%.
Tax on this portion: $10,275 * 0.10 = $1,027.50
The income between $10,276 and $41,175 is taxed at a rate of 12%.
Tax on this portion: ($41,175 - $10,276) * 0.12 = $3,710.88
The income between $41,176 and $89,075 is taxed at a rate of 22%.
Tax on this portion: ($89,075 - $41,176) * 0.22 = $10,656.98
The income between $89,076 and $170,050 is taxed at a rate of 24%.
Tax on this portion: ($170,050 - $89,076) * 0.24 = $19,862.88
The income between $170,051 and $175,000 is taxed at a rate of 32%.
Tax on this portion: ($175,000 - $170,051) * 0.32 = $1,577.44
Now, sum up all the taxes paid:
$1,027.50 + $3,710.88 + $10,656.98 + $19,862.88 + $1,577.44 = $36,836.68
The effective tax rate is calculated by dividing the total tax paid by the taxable income:
Effective tax rate = Total tax paid / Taxable income
Effective tax rate = $36,836.68 / $175,000 = 0.21024 (rounded to the nearest hundredth)
2. Sandra's house is located at the point (2,2). The school is located at the point (7, 10). Each
unit on the graph represents 1 mi. How far is the school from Sandra's house? Remember to
show your work.
Plot and label your points on the coordinate plane (1 point)
Use the Pythagorean Theorem to calculate the diagonal distance between the two
points, express your answer as a radical and as a decimal rounded to nearest
hundredths.
Answer:
Step-by-step explanation:
Given the sequence 9/8, 3/4, 1/2,...,8/81 is the geometric sequence. Find the common ratio and the number of all terms of this sequence.
Common ratio of the geometric sequence 9/8, 3/4, 1/2,...,8/81 is 2/3 and the number of all terms in this sequence is 7.
As we know that,
Common ratio of any G.P. is a constant number that is multiplied by the previous term to obtain the next term.
So, r= (n+1)th term / nth term
where r ⇒ common ratio
(n+1)th term⇒ succeeding term
nth term⇒ preceding term
According to the given question, r = (9/8) / (3/4)
r = (2/3)
We also know,
Any term of a G.P. [nth term] can be obtained by the formula:
Tₙ= a[tex]r^{n-1}[/tex]
where, Tₙ= nth term
a= first term of G.P.
r=common ratio
Since last term of the G.P. is given to be 8/81; putting this in the above formula will yield us the total number of terms.
Tₙ= a[tex]r^{n-1}[/tex]
⇒ (8/81) = (9/8) x ([tex]2/3^{n-1}[/tex])
⇒ (64/729)= ([tex]2/3^{n-1}[/tex])
⇒[tex](2/3)^{6}[/tex] = ([tex]2/3^{n-1}[/tex])
⇒ n-1 = 6
⇒ n = 7
∴ The total number of terms in G.P. is 7.
Therefore, Common ratio of the sequence 9/8, 3/4, 1/2,...,8/81 is 2/3 and the number of all terms in this sequence is 7.
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The Common Ratio for this geometric sequence is 2/3 and the total number of terms in the sequence is 6.
Explanation:The given mathematical sequence appears to be a geometric sequence, which is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the Common Ratio. In a geometric sequence, you can find the Common Ratio by dividing any term by the preceding term.
So in this case, the second term (3/4) divided by the first term (9/8) equals 2/3. Therefore, the Common Ratio for this geometric sequence is 2/3.
To find the total number of terms in this sequence we use the formula for the nth term of a geometric sequence: a*n = a*r^(n-1), where a is the first term, r is the common ratio, and n is the number of terms. This gives us: 8/81 = (9/8)*(2/3)^(n-1). Solving this for n gives us n = 6. Therefore, the total number of terms in this sequence is 6.
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Simplify the f(x) and g(x) to get it
Answer:
(fg)(x)= (x²+6)(x²-x+9)
multiply the terms:
(fg)(x)= x²(x²-x+9) +6(x²-x+9)
add the like terms:
(fg)(x)= (x⁴-x³+9x²)+(6x²-6x+54)
and you get your final answer:
(fg)(x)= x⁴-x³+15x²-6x+54
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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anna rolled a pair of number cubes what is the probability of getting even number on both sides PLSSS HELP ME
It is best to draw a table of outcomes and list all the possible outcomes when you roll a pair of numbered cubes. As follows:
1 2 3 4 5 6
1 ( 1 , 1 ) ( 1 , 2 ) ( 1 , 3 ) ( 1 , 4 ) ( 1 , 5 ) ( 1 , 6 )
2 ( 2 , 1 ) ( 2, 2 ) ( 2 , 3 ) ( 2 , 4 ) ( 2 , 5 ) ( 2 , 6 )
3 ( 3 , 1 ) ( 3 , 2 ) ( 3 , 3 ) ( 3 , 4 ) ( 3 , 5 ) ( 3 , 6 )
4 ( 4 , 1 ) ( 4 , 2 ) ( 4 , 3 ) ( 4 , 4 ) ( 4 , 5 ) ( 4 , 6 )
5 ( 5 , 1 ) ( 5 , 2 ) ( 5 , 3 ) ( 5 , 4 ) ( 5 , 5 ) ( 5 , 6 )
6 ( 6 , 1 ) ( 6 , 2 ) ( 6 , 3 ) ( 6 , 4 ) ( 6 , 5 ) ( 6 , 6 )
- Each cube has 6 faces, Hence, 6 numbers for each are expressed as row and column for first and second cube respectively.
- Now locate and highlight all the even pairs shown in bold.
- The total number of even pairs outcomes are = 9.
- The total possibilities are = 36.
- The probability of getting even pairs as favorable outcome can be expressed as:
P ( Even pairs ) = Favorable outcomes / Total outcomes
P ( Even pairs ) = 9 / 36
P ( Even pairs ) = 1 / 4.
- So the probability of getting an even pair when a pair of number cubes are rolled is 1/4
Steven earns extra money babysitting. He charges $31.00 for 4 hours and $62.00 for 8 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
The equation is y = 7.75x, where x is the number of hours Steven babysits and y is the amount he charges.
To represent the relationship between the number of hours Steven babysits (x) and the amount he charges (y), we can use a linear equation in the form of y = mx + b, where m is the slope and b is the y-intercept.
From the given information, we can identify two data points:
(4, 31.00) and (8, 62.00)
Using these points, we can calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (62.00 - 31.00) / (8 - 4)
m = 31.00 / 4
m = 7.75
Now, we can substitute one of the points and the slope into the equation to find the y-intercept (b).
Using the point (4, 31.00):
31.00 = 7.75(4) + b
31.00 = 31.00 + b
b = 0
Therefore, the equation that represents the relationship between the number of hours Steven babysits (x) and the amount he charges (y) is:
y = 7.75x
The equation is y = 7.75x, where x is the number of hours Steven babysits and y is the amount he charges.
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Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
Answer:
The system of linear inequalities represented by the graph is:
y > x - 2 and y < x + 1
This system of inequalities indicates that y is greater than x - 2, which represents the upper boundary of the shaded region in the graph. Additionally, y is less than x + 1, which represents the lower boundary of the shaded region. The intersection of these two conditions is the region between the lines, satisfying both inequalities.
What number completes the sequence below? Enter your answer in the input
box at the bottom.
8——-4
16——8
24——12
32——?
Answer:
16
Step-by-step explanation:
the numbers on the right of the arrow are half the value of the corresponding numbers on the left, then
32 → [tex]\frac{1}{2}[/tex] (32)
32 → 16
Rotate the triangle 180 counterclockwise around the origin and enter the coordinates. Enter the number that belongs in the green box A (1,-1) B (4,-2) C (2,-4)
Answer:
A''(-1, 1), B''(-4, 2), C''(-2, 4)
Step-by-step explanation:
When rotated 180°, the symbol of the coordinames change
i.e., if x = 2 it becomes x = -2 and if y = -4, it becomes y = 4
so the coordinates A(1, -1), B(4, -2), C(2, -4)
change to A''(-1, 1), B''(-4, 2), C''(-2, 4)
Select the correct answer.
The number of hours that 20 people spent watching television per day, in relation to age, is graphed. This quadratic equation represents the model
for the set of data.
y = 0.004z²0.314z + 7.5
Based on the model, approximately how much time does an 18-year-old spend watching television each day?
O A.
OB.
O C.
O D.
3 hours
2 hours
7.5 hours
0.5 hour
Based on the quadratic function, an 18 year old would spend 3 hours watching television.
Using the quadratic function given :
y = 0.004z²-0.314z + 7.5The age is represented as the variable , 'z'
substitute z = 18 into the equation
y = (0.004*18²) - 0.314(18) + 7.5
y = 3.144
y = 3 hours approximately
Hence, an 18 year old spend approximately 18 hours watching television.
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