The answer of the given question based on the transformation from its parent function the explanation part is given below and The equation of the function is y = -2(x+3)².
What is Function?In mathematics, function is relation between set of inputs and set of possible outputs with property that each input is related to exactly one output. It is rule that assigns to each input value exactly one output value. Functions can be represented in various ways, like algebraic expressions, graphs, tables, and words. They are used to model relationships between variables, to describe how one quantity depends on another, and to make predictions about future values. Functions are important concept in many fields of mathematics, as well as in science, engineering, economics, and other areas where quantitative analysis is used.
a. The graph appears to be a reflection of the parent function f(x) = x² over the x-axis followed by a vertical stretch by a factor of 2 and a horizontal shift to the left by 3 units.
b. The equation of the function is y = -2(x+3)².
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Consider the sampling distribution of a sample ed toward the o th m an obtained by random sampling from an infinite population. This e me that is highly skewed toward the larger values. a. How is the mean of the sampling distribution related to the mean of the population? b. How is the standa rd deviation of the sampling distribution related to the standard deviation of the population? c. How is the shape of the sampling distribution affected by the sample size?
The mean of the sampling distribution is related to the mean of the population, the standard deviation of the sampling distribution is related to the standard deviation of the population and the shape of the sampling distribution is affected by the sample size.
a. The mean of the sampling distribution is related to the mean of the population. The mean of the sampling distribution is an estimate of the population mean and is usually denoted by x⁻. The mean of the sampling distribution is expected to be close to the population mean, as the sample size increases. However, if the sample size is small, there will be more variation in the sample means and the sample mean will not be an accurate estimate of the population mean.
b. The standard deviation of the sampling distribution is related to the standard deviation of the population. The standard deviation of the sampling distribution is an estimate of the population standard deviation and is usually denoted by s. The standard deviation of the sampling distribution is expected to be smaller than the population standard deviation, as the sample size increases. The standard deviation of the sampling distribution is also affected by the sample size, it decreases as sample size increases.
c. The shape of the sampling distribution is affected by the sample size. As the sample size increases, the shape of the sampling distribution becomes more normal and less skewed, regardless of the shape of the population. The larger the sample size, the less spread in the sample means and more likely that the sample mean will be close to the population mean.
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Twenty eight concrete blocks were sampled and tested for crushing strength in order to estimate the proportion that were sufficiently strong for a certain application. Twenty six of the 28 blocks were sufficiently strong. Use the small-sample method to construct a 90% confidence interval for the proportion of blocks that are sufficiently strong. Round the answers to at least three decimal places.
Answer:
The 90% confidence interval for the proportion of blocks that are sufficiently strong is (0.849, 1).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
Twenty six of the 28 blocks were sufficiently strong.
This means that \(n = 28, \pi = \frac{26}{28} = 0.929\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.929 - 1.645\sqrt{\frac{0.929*0.071}{28}} = 0.849\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.929 + 1.645\sqrt{\frac{0.929*0.071}{28}} = 1.009\)
Since a proportion cannot be above 1, the upper limit is 1.
The 90% confidence interval for the proportion of blocks that are sufficiently strong is (0.849, 1).
Add 2.5 to the product of 4.2 and 0.2
Answer:
3.34.
Step-by-step explanation:
4.2 * 0.2 + 2.5
= 0.84 + 2.5
= 3.34.
Answer:
3.34
Step-by-step explanation:
the product is 4.2×0.2=0.84
add is 2.5 + 0.84=3.34
When the project is considered complete? a- BAC is equal to the PV.
b- The EV is equal to the AC.
c- The PV is equal to the AC.
d- The BAC is equal to the EV.
The project is considered to be complete when the EV is equal to the AC. So option b is correct.
When a project is considered complete, it means that the total amount of work that was planned to be done (referred to as the Budget at Completion or BAC) has actually been completed and the amount spent on completing the work so far EV is equal to the BAC.
In project management, Earned Value (EV) and Actual Cost (AC) are two key measurements used to quantify the exhibition of a project.
Earned Value (EV) addresses the arranged value of the work that has been finished. It is calculated by multiplying the arranged completion rate by the Budget at Completion (BAC).
Actual Cost (AC) addresses the actual measure of cash spent on the project in a limited way of time. It is the amount of the multitude of costs caused for the finished work and the work underway.
At the point when the Earned Value (EV) is equivalent to the Actual Cost (AC), it implies that all the arranged work has been finished and all the budget has been spent.
This is a decent indication that the project is on target and is probably going to be finished within the arranged budget.
Thus, when the Earned Value (EV) is equivalent to the Actual Cost (AC), the project is thought of as complete.
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Please help! it’s angles again
Answer:
115-2*180
= 245
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
there are 2 triangles so the angles in all add up to 360. (108*2) then you subtract all the known angles.
(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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Write 1 1/6 as an improper fraction
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
WILL MARK BRAINLYIST
You are already correct.
Help please
Condense to a single logarithm is possible
In(6x^9)-In(x^2)
The logarithm expression can be simplified to:
In(6x^9)-In(x^2) =7·ln(6x)
How to write this as a single logarithm?There are some logarithm properties we can use here.
log(a) - log(b) = log(a/b)
log(a^n) = n*log(a)
(these obviously also apply to the natural logarithm)
Now let's look at our expression, it says that:
In(6x^9)-In(x^2)
Using the first rule, we can rewrite this as.
In(6x^9)-In(x^2) = ln(6x^9/x^2)
Now solving the quotient in the argument:
ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)
That is the expresison simplified.
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Jackie used a photocopier to reduce an image that was 4 inches wide and 6 inches long. If the reduced image was 4 inches long, how wide was the reduced image
The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
What is Area?An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.
Given:
The initial length of the image, l = 6 inches,
The initial width of the image, w = 4 inches,
The reduced length of the image, L = 4 inches,
The area of the initial image = The area of the reduced image,
l × w = L × W
Here W is the reduced width.
Substitute the values,
6 × 4 = 4 × W
W = 6 inches,
Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.
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what's the radius for r=13 mm?
Step-by-step explanation:
14 mm³ because the radius is this
The graph of a function f is shown below. For how many values of x is f(x)=−4? WORTH A LOT
9514 1404 393
Answer:
4 values
Step-by-step explanation:
Draw a horizontal line at y = -4. Count how many places it crosses the graph.
There are 4 values of x where f(x) = -4.
For each polynomial function, rewrite the polynomial in standard form. Then state its degree and constant term.
a. f(x) = (x + 1)(x+3)(x-4)
b. g(x) = 3(x + 1)(x+3)(x-4)
a. The stand form is f(x) = x^3 - 13x - 12
degree = 3
constant term = - 12
b. The stand form is g(x) = 3 x^3 - 39x - 36
degree = 3
constant term = - 36
Given data
f(x) = (x + 1)(x+3)(x-4)
g(x) = 3(x + 1)(x+3)(x-4)
How to find the standard form of the polynomialsfor f(x) = (x + 1)(x+3)(x-4) we have
f(x) = (x + 1)(x+3)(x-4)
f(x) = ( x + 1 ) ( x^2 - 4x + 3x - 12 )
f(x) = (x + 1) ( x^2 - x - 12 )
f(x) = x^3 - x^2 - 12x + x^2 - x - 12
f(x) = x^3 - 13x - 12
degree = 3
constant term = -12
g(x) = 3(x + 1)(x+3)(x-4)
g(x) = 3(x + 1) ( x^2 - 4x + 3x - 12 )
g(x) = 3(x + 1) ( x^2 - x - 12 )
g(x) = 3 ( x^3 - x^2 - 12x + x^2 - x - 12 )
g(x) = 3 ( x^3 - 13x - 12 )
g(x) = 3 x^3 - 39x - 36
degree = 3
constant term = - 36
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Triangle XYZ - Triangle JKL. Use the image to answer the question. Determine the measurement of KL.
A. KL=11.99
B. KL=10.66
C. KL=10.14
D. KL=10.01
Answer:
C. KL = 10.14
Step-by-step explanation:
You want the length of segment KL in ∆JKL given it is similar to ∆XYZ with lengths JK=11.31, XY=8.7, YZ=7.8.
Similar trianglesCorresponding sides of similar triangles are proportional. It can be useful to identify corresponding sides and their given measures:
JK = 11.31, XY = 8.7
KL = ?, YZ = 7.8
This lets us write the proportion ...
KL/JK = YZ/XY
KL/11.31 = 7.8/8.7 . . . . . . . . . . use given values
KL = 11.31(7.8/8.7) = 10.14 . . . multiply by 11.31
The measurement of KL is 10.14 untis.
__
Additional comment
You have to go by the sequence of vertices in the similarity statement, not the appearance of the figure. One triangle is rotated from the other in the figure, so that parallel sides are not corresponding sides.
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Find the largest number which divides 248 and 1032 leaving the remainder 8 in each case.
Answer:
...... .................
A medical researcher wants to estimate the difference in the proportions of women with high blood pressure for women who use oral contraceptives versus women who do not use oral contraceptives. In an observational study involving a sample of 900 women, the researcher finds that .15 (15%) of the 500 women who used oral contraceptives had high blood pressure, whereas only .10 (10%) of the 400 women who did not use oral contraceptives had high blood pressure.
1. What is the research question of interest for this study? What is the population parameter in this study?
2. What is the appropriate statistical notation for this parameter?
3. What is the value of the sample estimate (statistic) in this study?
4. What is the appropriate statistical notation for this estimate?
Answer:
1.) What is the difference between the proportion of women with high blood pressure who use oral contraceptive and those who don't?
2.) P1 - P2
3.)
Let P` = population statistic
P1` - P2`
Step-by-step explanation:
Since the experiment is to know if there is a difference between high blood pressure in women who use oral contraceptives or not ; the we can frame the research question thus :
What is the difference between the proportion of women with high blood pressure who use oral contraceptive and those who don't?
2.) P1 - P2
P1 = All women who have high blood pressure and use oral contraceptive
P2 = All women who high blood pressure who don't use oral contraceptive
3.)
P1` - P2` ; (0.15 - 0.10)
P1` = women in the sample (900) who have high blood pressure and use oral contraceptive
P2` = women in the sample (900) who high blood pressure who don't use oral contraceptive
Solve for z
Please help me, thank u!!!
-3.6
Step-by-step explanation:
z/(-2) + -5 = -3.2 → times -2
z + 10 = 6.4
z = 6.4 - 10
z = -3.6
true or false? the graph of an inequality with < or > is a closed half plane
FALSE
Explanations:What is a graph of inequality?Graph of inequality involves shading one of the side of a boundary which mainly involves dividing coordinates into two planes.
The inequality signs are the <, >, ≤ or ≥. If the inequality sign is a “≤” or “≥”, then the graph will represent a closed half-plane whereas if the inequality of a graph is < or >, the graph will represent an open half-plane.
Based on the explanation above, we can conclude that the statement that the graph of inequality with < or > is a closed half-plane is FALSE
A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
2040
3. The main engine alone on a rocket can consume the allotted
fuel supply in two-thirds the time it takes the auxiliary engine
alone. Working together they both consume their allotted fuel
in 36 seconds. Formulate an equation to represent the
situation. How long could each be fired alone?
Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine
What is the equation to represent the situationLet's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.
From the first piece of information, we know:
t₁ = (2/3)t₂
From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:
t₁ + t₂ = 36
Now we can substitute the first equation into the second:
t₁ + (2/3)t₂ = 36
Combining like terms:
t₂ = 21.6
Finally, substituting t₂ back into the first equation:
t₁ = (2/3)(21.6) = 14.4
So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.
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the rule of the pattern is start with 2, and then multiply by 4
The 7th number in the pattern, where each number starts with 2 and is then multiplied by 4, is 8192.
In the given pattern, where each number starts with 2 and is then multiplied by 4, we can calculate the 7th number as follows:
Starting with 2, we multiply each subsequent number by 4:
1st number: 2
2nd number: \(2 \times 4 = 8\)
3rd number: \(8 \times 4 = 32\)
4th number:\(32 \times 4 = 128\)
5th number:\(128 \times 4 = 512\)
6th number: \(512 \times 4 = 2048\)
7th number: \(2048 \times 4 = 8192\)
Therefore, the 7th number in the pattern is 8192.
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Question: Consider a pattern where each number starts with 2 and is then multiplied by 4.
What is the 7th number in this pattern?
how many minutes are there in 3/4 hours
Answer:
45 minutes
Step-by-step explanation:
60 minutes in one hour divided by four will give us 1/4
60/4=15
15*3= 45
45=3/4 of an hour
(60b ÷ 5) + c when b= 1/2 and c= 11
Answer:
17
Step-by-step explanation:
(60b divided by 5) + c
(60(1/2) divided by 5) + 11
(30 divided by 5) + 11
6 + 11
17
The 150 students in the band will attend an awards assembly. A random survey of 30 was done to see what type of pizza they would order. 10 Pepperoni 15 Cheese • 5 Hamburger Based on the survey results, which of these is the best prediction of the types of pizza wanted by the 150 students? A. There are 40 students who want pepperoni B. There are 100 students who want either pepperoni or hamburger C. There are 10 more students who will want cheese than hamburger D. There are 5 more students would want pepperoni than hamburger (PLEASE ANSWER ILL GIVE BRAINLIEST)
Answer:
None are correct.
Step-by-step explanation:
10/30 wanted pepperoni, so 1/3 of them wanted pepperoni.
15/30 wanted cheese, so 1/2 wanted cheese.
5/30 wanted hamburgers, so 1/6 wanted hamburgers.
You can use this information to estimate the number of the 150 students who wanted each.
1/3 of 150 = an estimated 50 wants pepperoni
1/2 of 150 = an estimated 75 wants cheese
1/6 of 150 = an estimated 25 wants hamburgers
Now you can use this to see which one is true.
A. There are 40 students who want pepperoni
not true, there are 50
B. There are 100 students who want either pepperoni or hamburger
50(pepperoni) + 25(hamburger) = 75, so this is not true
C. There are 10 more students who will want cheese than hamburger
75(cheese) - 25 (hamburger) = 50, so this is not true.
D. There are 5 more students would want pepperoni than hamburger
50 (pepperoni) - 25 (hamburger) = 25, so this is not true
None of these answers are correct
Write and solve an equation to find the value of x and a missing angle in each triangle below. Use the number bank to help you check your solutions as you fill in each blank. Not all of the numbers will be used.
Answer:
1. x = 30
REC = 130
Step-by-step explanation:
2x + 70 = 4x + 10
60 = 2x
x = 30
you try the others
Good luck :D
Please help me for 15 points
HW3 Applying the Pythagorean theorem
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof?
25 inches
41 inches
21 inches
20 inches
40 inches
29 inches
By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born.
According to the question:
Given, Hypotenuse(h) = 29 inches
Base(b) = 40/2 = 20 inches
Using Pythagoras theorem, we get
h² = b² + p²
⇒ 29² = 20² + p²
⇒ p² = 29² - 20²
⇒ p² = 841 - 400
⇒ p² = 441
⇒ p = √441
⇒ p = 21
∴ The height of the roof of dog house is 21 inches.
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What’s the factor of the expression?
The answer to this question: B
Please help me i need help.
Answer:
5x+7 > 17 matches with 3.
1+3x > -5 matches with 2.
2x+1 < 3 matches with 1.
5-3x > 11 matches with 4.
Step-by-step explanation:
Mr Wilinks deposited $1,500 in a new account at his bank. The bank pays 2.5% interest compounded annually on his account. Mr Wilinks makes no additional deposits or withdrawals. What is the balance of the account at the end of 4 years?