Step-by-step explanation:
\( \frac{3}{9} = \frac{5}{y} = \frac{x}{12} \\ \frac{3}{9} = \frac{5}{y} \\ 3y = 45 \\ y = 15 \\ \\ \frac{3}{9} = \frac{x}{12} \\ 9x = 36 \\ x = 4\)
Probability & Sampling:Question 4
If the probability of a chance event is 0, it is
to happen
when compared to a chance event with a probability of 1.
Select one:
both more and less likely
less likely
more likely
equally likely
Answer:
more likely
Step-by-step explanation:
b. 6 times the sum of 12 and 8
Answer:
120
Step-by-step explanation:
12+8 = 20
20*6 = 120
Graph triangle DEF with vertices D (6,2), E (6,6), and F (10,4) and its image after a dilation centered at the origin with a scale factor of 1/2. Then find the difference between the area of the image and the area of the preimage.
Answer:
The graph is below.
The area of the pre-images is 8 and the area of the image is 2. The difference is 6 \(units^{2}\)
Step-by-step explanation:
Area of the large triangle
a = \(\frac{bxh}{2}\) I am going to choose the vertical line to be the base because I can count the base to be 4 and the height straight up from the base to be 4.
a = \(\frac{4x4}{2}\) = 8
I found the base for the image in the same way
a = \(\frac{2x2}{2}\) 2
Helping in the name of Jesus.
en el siguiente triángulo empleando las propiedades del mismo
From the triangle, the values of α , β and Ф are 97⁰, 45⁰ and 38⁰
How to determine the values?Recall that the sum of angles of a straight line is 180 degrees and the sum of angles of a triangle is 180 degrees also.
using the given properties of a triangle and angles,
We have that Y + β - 180 ( sum of angles on a straight line)
where β = 135 degrees
Y = 180-135
Y = 45⁰
Also, using the same properties,
α + <EAC = 180 (sum of <s of a straight line)
α + 83 = 180
α = 97⁰
Ф = 180 - (97 + 45)
Ф = 180 - 142
Ф = 38⁰
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You put $12,984 into an investment at 6.12% for seven and a half years. What will the balance be at the end of seven and a half years?
b. Lauren bought a new package of notebook
paper containing 300 sheets. She used
27 sheets in a science notebook. What
percent of the paper did she have left?
272
Answer:
91%Step-by-step explanation:
300 × x/100 = 27=> 3 × x = 27=> x = 27/3=> x = 9This means that 9% of the notebook is used in science.
100% - 9% = Percentage of paper left in notebook.=> 91% = Percentage of paper left in notebook.This means that 91% of the notebook pages is remaining.
In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.
The population proportion who participated in voting is given as 63% of all registered voters.
This means that out of every 100 registered voters, 63 participated in voting.
In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.
Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .
Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.
It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.
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Pls can someone help me factorise this: a²+9a+8
Answer:
(a + 8)(a + 1)
Step-by-step explanation:
We know that the first term is squared, so we can put it out like this:
a * a
The third term has to be separated so that the sum of the two factors is the coefficient of the second term, 9.
8 = 4 * 2 (does 4 +/- 2 = 9? nope, we can't use that)
8 = 8 * 1 (does 8+/- 1 = 9? yes, when 8 + 1)
So the factor is a + 8 and a + 1.
Put this together and (a+8)(a+1)
A museum has 7 paintings by Picasso and wants to arrange 3 of them on the sarne wall
How many ways are there to do this?
a 110
b. 210
C. 310
d. 410
To determine the number of ways the museum can arrange 3 Picasso paintings out of the 7 available, you can use the combination formula. The correct answer should be 35 ways to arrange the 3 Picasso paintings on the same wall.
A combination is used when the order of the elements does not matter. The formula is:
C(n, k) = n! / (k! * (n-k)!)
Where n represents the total number of paintings (7 in this case) and k represents the number of paintings to be arranged (3 in this case). Using the formula, you get:
C(7, 3) = 7! / (3! * (7-3)!)
C(7, 3) = 7! / (3! * 4!)
C(7, 3) = 5040 / (6 * 24)
C(7, 3) = 5040 / 144
C(7, 3) = 35
However, since none of the given options match this result, there might be a mistake in the options provided. The correct answer should be 35 ways to arrange the 3 Picasso paintings on the same wall.
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Samples of n = 6 items are taken from a manufacturing process at regular intervals. A normally distributed quality characteristic is measured and x-bar and S values are calculated for each sample. After 50 subgroups have been analyzed, we have ΣX=1000, Σ₁ S₁ = 75. Compute control limits Si for the x-bar control chart. Select one: O a. UCL = 1096.5, LCL = 903.5 O b. UCL = 182.8, LCL = 150.6 OC. UCL = 21.9, LCL = 18.1 O d. UCL = 24.5, LCL = 15.5 Oe. UCL 1000, LCL = 75 Samples of n = 6 items are taken from a manufacturing process at regular intervals.
Thus, the UCL and LCL control limits are:UCL = 24.5LCL = 15.5Therefore, the correct answer is option d.
To compute the control limits Si for the x-bar control chart, let us use the formula below:Upper Control Limit (UCL) = X + A2(standard deviation of the means)Lower Control Limit (LCL) = X - A2(standard deviation of the means)Where X is the sample mean, A2 is the constant based on the number of samples, and the standard deviation of the means (Si) is computed using the formula below:Si = √∑Si² / k - 1where k is the number of samples.After 50 subgroups have been analyzed, ΣX = 1000 and Σ₁S₁ = 75. The sum of squares of Si can be computed as follows:SSi = ΣSi² - [(ΣSi)² / k]SSi = 75² - [(∑Si)² / 50]SSi = 5625 - [(∑Si)² / 50]SSi = 5625 - [S² / 50]Given that n = 6, the constant A2 can be found on the table of constants and is equal to 0.5772. Let S be the estimated value of Si.UCL = X + A2(S/√n)LCL = X - A2(S/√n)X = ΣX / nk = 50UCL = 1000 / 50 + 0.5772(S/√6) => 20 + 0.5772(S/√6)LCL = 1000 / 50 - 0.5772(S/√6) => 20 - 0.5772(S/√6)If we use the estimated value of S, we will have:UCL = 1000 / 50 + 0.5772(√[(5625 - S² / 50]) / √6)LCL = 1000 / 50 - 0.5772(√[(5625 - S² / 50]) / √6)Thus, the UCL and LCL control limits are:UCL = 24.5LCL = 15.5Therefore, the correct answer is option d.
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Nevaeh is organizing textbooks on her bookshelf. She has a Spanish textbook, a math textbook, a history textbook, and a health textbook. How many different ways can she line the textbooks up on her bookshelf?
a student committee has 6 membersâ€""4 undergraduate and 2 graduate students. a subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally likely to be selected. what is the probability that there will be no graduate students on the subcommittee?
The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in
(4 choose 3) = 4 ways.
The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in
(6 choose 3) = 20 ways.
Therefore, the probability that there will be no graduate students on the subcommittee is:
Number of subcommittees with only undergraduate students / Total number of possible subcommittees
= 4 / 20
= 1/5
= 0.2
So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
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Nadia is mountain climbing. She started at an altitude of 19.26 feet below sea level and then changed her altitude by climbing a total of 5,437.8 feet up from her initial position. What was Nadia's altitude at the end of her climb?
Answer:
5,418.2 feet
Step-by-step explanation:
Nadia is carrying out mountain climbing.
She started climbing the mountain at an altitude of 19.26 feet below the sea level.
Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.
Therefore, Nadia's altitude at the end of her climb can be calculated as follows
= 5,437.8-19.6
= 5,418.2
Hence Maria's altitude at the end of her climb is 5,418.2 feet
Answer:
5,418.2 feet
Step-by-step explanation:
Write an equation of the line below.
Answer:
y= -2x - 2
Step-by-step explanation:
Y= Mx + b
M: slope of line
B: on y axis
Answer:
y=-2x-2
Step-by-step explanation:
hope this helps
When planning a well-balanced long hair design, consider the proportional relationships between size, shape, texture and:
A well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.
When planning a well-balanced long hair design, it is important to consider the proportional relationships between size, shape, texture, and color. These four elements work together to create a harmonious and visually pleasing hairstyle.
Size refers to the overall scale of the hairstyle, which can range from small and delicate to large and voluminous. It's important to consider the size of the client's head and face, as well as the desired level of impact.
Shape refers to the outline or silhouette of the hairstyle, which can be angular or rounded, symmetrical or asymmetrical. The shape should be chosen to flatter the client's face shape and features, as well as to create a balanced overall look.
Texture refers to the surface quality of the hair, which can be smooth or rough, sleek or tousled. Texture can be used to add interest and movement to the hairstyle, and should be chosen to complement the client's natural hair texture and the overall design.
Color refers to the hue, saturation, and tone of the hair, which can range from natural to bold and vibrant. Color can be used to enhance the shape and texture of the hairstyle, and should be chosen to flatter the client's skin tone and personal style.
In summary, a well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.
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Find a polynomial function of degree 3 such that f(0)=17 and the square root of f(x) are 0,5 and 8
Answer:
f(x)=x^3 - 13x^2 + 40x + 17
Step-by-step explanation:
x-0=0 x-5=0 x-8=0
x=0 x=5 x=8
y=x(x-5)(x-8)+b ==> b is what's going to be used to find the equation so that
y=17 when x=0
17=0(0-5)(0-8)+b ==> plugin 0 for x and 17 for y
17=0*(-5)*(-8)+b ==> simplify
17=0+b ==> anything multiplied by 0 is 0.
b=17
Hence, the equation is:
y=x(x-5)(x-8)+17 ==> expand this equation
y=x*(x-5)(x-8) + 17
y=x*(x(x - 8) - 5(x - 8)) + 17 ==> distribute x-8 to x and -5
y=x*(x*x - 8x - 5x - (8)(-5)) + 17 ==> distribution property
y=x*(x^2 - 13x - (-40)) + 17 ==> simplify
y=x*(x^2 - 13x + 40) + 17 ==> subtracting a negative number is equivalent to
adding a positive number
y=x^3 - 13x^2 + 40x + 17 ==> multiply x with x^2, 13x, and 40 using the
distribution property.
Answer: f(x)=x^3 - 13x^2 + 40x + 17
Answer: Okay, lets explain.
Step-by-step explanation:Since 0, 5 & 8 are given as the zeros of the required 3rd degree polynomial f(x), therefore, one may take it as ; f(x) =k (x-0)(x-5)(x-8)
= k(x³−13x²+40) …. .. .(1) . Since f(10) = 17 (given), it implies 17 = k(1000 -1300 + 400) = 100 ==> k = 17/100 = 0.17 . Put this value of k in eq(1) and get the required polynomial.
Vicky paid $350 for 3 dresses and 4 blouses. Each dress cost as much 3/4 as a blouse. What was the cost of each dress?
Answer:
Let's call the cost of a blouse "b" (in dollars). Then, according to the problem, the cost of a dress is 3/4 of the cost of a blouse, or (3/4)b.
We know that Vicky paid $350 for 3 dresses and 4 blouses, so we can set up the equation:
3(3/4)b + 4b = 350
Simplifying this equation, we get:
9/4 b + 4b = 350
Combining like terms, we get:
17/4 b = 350
To solve for b, we can multiply both sides by 4/17:
b = 350 × 4/17 = $82.35 (rounded to two decimal places)
Therefore, the cost of a dress is:
(3/4)b = (3/4)($82.35) = $61.76 (rounded to two decimal places)
So each dress cost $61.76.
space inside rectangle with a width of 17 and length of 17
Answer:
If you're looking for the area of the figure, your answer would be 289.
Step-by-step explanation:
This is because the formula for the area of a rectangle is l x w, so you just multiply 17 x 17.
Hope this helped! :)
Answer: i belive that the answer is 289 because 17x17 is 289
Step-by-step explanation: Hope this helps have a nice day!!!!
The enrollment at East Valley High School over a six-year period is displayed in the scatterplot.
Student Enrollment at East Valley High School
1530
1500
(2013, 1492)
1470
1440
.
Students
1410
1380
1350
(2009, 1330)
1320
1290
1260
2008 2009 2010 2011 2012 2013
Year
Complete Question:
The enrollment at East Valley High School over a six-year period is displayed in the scatterplot. Student Enrollment at East Valley High School (1st picture)
Which is the equation of the line of best-fit for this scatterplot? (2nd picture)
Answer:
D) y = (81/2)x - (160,069/2)
Step-by-step Explanation:
From the scatter plot in the graph attached below, we are given the ordered pairs of the coordinates (2009, 1330), (2013, 1492), we can derive the equation of the line of best-fit for the scatter plot using the slope-intercept formula.
Thus, the slope-intercept formula is y = mx + b, where m is the slope of the line; and b is the y-intercept.
We need to find m, and then b to input into the formula to get our equation of the line.
==> Finding m using the two sets of coordinate given on the graph [ (2009, 1330) and (2013, 1492) ]:
slope (m) = (y2 - y1)/(x2 - x1)
m = (1492 - 1330)/(2013 - 2009)
= 162/4
m = 81/2
Next is to find b, which is the y-intercept
Recall, y = mx + b
Using one of the coordinates given (2009, 1330), we can find b by inputting 1330 for y, 2009 for x, and 81/2 for m in the slope-intercept formula:
Thus, we would have ==>
1330 = (81/2 * 2009) + b
1330 = (162,729/2) + b
1330 - 162,729/2 = b
(2,660 - 162,729)/2 = b
- 160,069/2 = b
Having known the values of m, and b, let's input their values to get the equation of the line.
Thus, using the slope-intercept formula y = mx + b, the equation of the line of best-fit for the scatter plot would be
==> y = (81/2)x +(-160,069/2)
y = (81/2)x - (160,069/2)
Answer:
d
Step-by-step explanation:
/c and /d are vertical angles.if /c is 140, what is the measure of/d?
What are straight line graphs called?
Straight-line graphs are commonly referred to as "linear graphs" or "linear equations."
We have,
A straight line graph, often referred to as a linear graph or linear equation, represents a relationship between two variables that can be expressed by a linear equation in the form y = mx + b.
In this equation, 'x' and 'y' are the variables, 'm' is the slope of the line, and 'b' is the y-intercept (the point where the line crosses the y-axis).
The slope 'm' determines the steepness or incline of the line.
A positive slope indicates the line rises as 'x' increases, while a negative slope indicates the line descends as 'x' increases.
The y-intercept 'b' represents the value of 'y' when 'x' is zero, determining where the line crosses the y-axis.
Thus,
Straight line graphs are commonly referred to as "linear graphs" or "linear equations.
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carlo travels for 3 hours on the highway. his average speed is 55 mi/h. how many miles does he travel?
Answer:
165 miles
Step-by-step explanation:
Distance = rate x time
Distance = 55(3)
Distance = 165 miles
Answer:
distance = 165 miles
Step-by-step explanation:
We know that d=rt
Distance = rate * time
distance = 55 miles / hour * 3 hours
distance = 165 miles
A county library manager wants to find out what types of activities residents in the
county want at the library. Which sample is the most representative of the population of
interest?
A-every 30 person on a list of county residents
B-every 30th person who enters a local restaurant
C-every child who enters the county library
D-every student who enters the local high school
Every 30th person on a list of county residents, is the most representative sample of the population of interest. Option A
What is a representative sample?A representative sample is a small group of individuals who, as closely as possible, reflect a larger group.
The best representative sample will be obtained by taking every 30th person on a list of county residents.
This is due to the fact that it requires choosing people from the entire county's resident population as opposed to only those who frequent a certain region (options B and C) or a particular group (option D, high school students).
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Pls tell the answer for 50 points!
Answer:
7*11^5
Explanation:
(the photo)
The population of a certain fish species can be modeled using the equation
P(t)= 50e0.15t
where t is the number years after 2018.
A particular lake can accommodate at most 3,500 of this fish species.
Based on the model, during which year will the population of fish first exceed the capacity of the lake?
2022
2028
2046
2088
Step-by-step explanation:
the answer is 2046
The population of fish first exceed the capacity of the lake will be 2046. Then the correct option is C.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
The population of a certain fish species can be modeled using the equation
\(\rm P(t)= 50 \ e^{0.15t}\)
where t is the number of years after 2018.
A particular lake can accommodate at most 3,500 of this fish species.
Based on the model, the year in which population of fish first exceed the capacity of the lake 3,500 will be
\(\rm 3500= 50 \ e^{0.15t}\\\\70 \ \ \ = e^{0.15t}\)
Taking log on both sides, we have
ln 70 = 0.15t ln e
4.248 = 0.15 t
t = 28.32 ≈ 28 years
Then the year will be
⇒ 2018 + 28
⇒ 2046
The population of fish first exceed the capacity of the lake will be 2046.
Then the correct option is C.
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Please help! i will give brainliest or whatever if you help :)
which point is a solution to the inequality shown in this graph? A. (0,-5) B. (-3,0) C. (0,0) D. (5,-5)
Point (-3, 0) is required solution to the inequality. Hence option B. is correct.
What is inequality?Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
As from graph,
The inequality can be define as -\(y > \frac{4}{3}x+4\)
And the point(-3, 0) lies on the boundary line.
Which gives the solution to the given inequality.
Thus, point (-3, 0) is required solution to the inequality.
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Write the equation from the table below.
x y
0 -5
1 -2
2 1
3 4
4 7
Answer:
hope this helped
Step-by-step explanation:
y = mx + b
b, the y-intercept, = 3 because when x is 0, y is 3
find m, slope:
(0,3) (2,2)
2 - 3/2 - 0
-1/2
-0.5 or -/2
y = -1/2x + 3
or
y = -0.5x + 3
please please pleasee help me with this
Answer:
i think it's D mybe
Step-by-step explanation:
Find the value of x 8x+6=13x-14
Answer:
x=4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
8x+6=13x-14
+14 +14
8x+20=13x
-8x -8x
20=5x
20/5=4
5/5=1
4=x
I hope this helps! :D
Pls give thx and brainliest if I’m right ;)