Consider the function. What transformation results in ? translating 5 units down translating 10 units down reflecting across the x-axis reflecting across the y-axis.

Answer:

60.2 is the average

Step-by-step explanation:

add all numbers together to get: 301

divide 301 by 5 because there are 5 numbers total to get: 60.2

With a greater mean value , we can conclude that the sixth period class test was better than the second period .

Second period class:

Mean = (55+70+6*75+6*80+2*85+3*90+95)/20

Mean = 1590/20 = 79.5

Sixth period class:

Mean = (65+3*75+5*80+6*85+3*90+2*95)/20

Mean = 1660/20 = 83

Therefore, From the mean values , we can infer that students performed better in test for the sixth period class than the second .

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First and foremost, it is important to note that human skin color is determined by a variety of factors, including genetics, environmental influences, and geographic location. In fact, skin color is the result of the amount and type of melanin pigment produced by specialized cells in the skin called melanocytes.

There are two main types of melanin pigment: eumelanin and pheomelanin. Eumelanin is responsible for producing darker skin colors, while pheomelanin produces lighter skin colors. However, the amount and distribution of these pigments can vary greatly between individuals, resulting in a wide range of skin tones.

Additionally, skin color can also be influenced by factors such as sun exposure, age, and hormonal changes. For example, prolonged sun exposure can lead to darker skin, while aging and hormonal changes can cause changes in skin pigmentation. Furthermore, it is important to note that skin color is not always clearly defined or easily categorized into specific shades. There can be a great deal of variation within a single skin tone, as well as overlap between different skin tones. This is due to the complex interplay of genetic and environmental factors that contribute to skin color.

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Answer:

25

\( {15}^{2} + {20}^{2} = 625 \)

\( \sqrt{625} = 25\)

Answer 25

Explantion : 15^2+20^2=c^2 255+400=c^2

divide x625 = 25

We need a sample size of 35 to reduce the margin of error to $25 for a 95% confidence interval, given that we have reason to believe that the population standard deviation of credit card debts for this group is $150.

To determine the sample size needed to reduce the margin of error to $25 for a 95% confidence interval, we can use the following formula:
n = (z * σ / E)²
Where:
n = sample size
z = z-score corresponding to the desired confidence level (1.96 for 95% confidence)
σ = population standard deviation
E = desired margin of error
Substituting in the given values:
n = (1.96 * 150 / 25)²
n = 34.57
Rounding up to the nearest whole number, we get a sample size of 35. Therefore, we need a sample size of 35 to reduce the margin of error to $25 for a 95% confidence interval, given that we have reason to believe that the population standard deviation of credit card debts for this group is $150.

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Answer:

Day 7

Step-by-step explanation:

Given information:

Therefore, each day Celeste has three times as much as she had the previous day.

This can be expressed by the recursive rule:

\(\begin{cases}a_n=3a_{n-1}\\a_1=3\end{cases}\)

Therefore:

\(\textsf{Day 2}: \quad a_2=3 \cdot a_{1}=3 \cdot 3=9\)

\(\textsf{Day 3}: \quad a_3=3 \cdot a_{2}=3 \cdot9=27\)

\(\textsf{Day 4}: \quad a_4=3 \cdot a_{3}=3 \cdot 27=81\)

\(\textsf{Day 5}: \quad a_5=3 \cdot a_{4}=3 \cdot 81=243\)

\(\textsf{Day 6}: \quad a_6=3 \cdot a_{5}=3 \cdot 243=729\)

\(\textsf{Day 7}: \quad a_7=3 \cdot a_{6}=3 \cdot 729=2187\)

So the day on which Celeste will have 2,187¢ is day 7.

There is a 0.62% probability that the strength of a concrete sample will be smaller than the design strength of 5 ksi, considering the provided mean and standard deviation values.

To find the probability of the strength of a concrete sample being smaller than the design strength, we can use the concept of standard deviation and the properties of a normal distribution.

Given that the mean (μ) of the concrete strength is 5.5 ksi and the standard deviation (σ) is 0.2 ksi, we want to determine the probability of the concrete strength being smaller than the design strength of 5 ksi.

To calculate this probability, we need to standardize the values using the z-score formula: z = (x - μ) / σ,  

where x represents the value we want to standardize.

In this case, we want to find the probability when x = 5 ksi.

Plugging in the values, we have z = (5 - 5.5) / 0.2 = -2.5.

Using a standard normal distribution table or statistical software, we can find the corresponding probability for a z-score of -2.5.

The probability of the concrete sample strength being smaller than the design strength is the area under the curve to the left of the z-score -2.5.

Consulting a standard normal distribution table or using statistical software, we find that the probability is approximately 0.0062 or 0.62%.

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Answer:

r = 3 ft

Step-by-step explanation:

Area = 9π

So, πr²=9π where r is the radius

so, r²=9

or, r=√9

or, r=3, since r can't be negative

Answered by GAUTHMATH

Answer:

"Spurious relationship" is the correct answer.

Step-by-step explanation:

The relationship between the independent and dependent variables in this case can be referred to as: spurious relationship.

A spurious relationship can be described as a statistical association between two variables, which are claimed to be directly connected to each other, and may in fact, just be a coincidence or may have been connected together by an intermediate or third factor when carefully examined.

Therefore, the relationship between the independent and dependent variables in this case can be referred to as: spurious relationship.

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Answer:

A. 11

Step-by-step explanation:

Since the angles are vertical angles (share a vertex) they are equal in measure.

160 = 10x + 50

subtract 50 from both sides

110 = 10x

divide both sides by 10

x = 11

Answer:

A: 2 Feet

Step-by-step explanation:

Got it right

The larger the group of answer choices, the less likely our data represent the model due to larger differences between the expected frequencies.

Based on the terms provided, we want to know the relationship between the size of a group of answer choices, differences between expected frequencies, and how likely the data represents a model.

The larger the group of answer choices, the larger the differences between the expected frequencies, and the less likely our data represent the model.

This is because a larger group of answer choices increases the complexity of the dataset, which may lead to more significant deviations from the expected frequencies, ultimately making it less likely that the data represents the given model.

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Answer:

\(m\leq \frac{1}{4}\)

Step-by-step explanation:

\(\frac{1}{4}+m\leq \frac{1}{2}\)

Simplify both sides in the inequality:

\(m+\frac{1}{4}\leq \frac{1}{2}\)

Subtract 1/4 from both sides:

\(m+\frac{1}{4}-\frac{1}{4} \leq \frac{1}{2}-\frac{1}{4} \\m\leq \frac{1}{4}\)

m ≤ 1/4 is your final answer.

The period of the pendulum (t) is approximately 4.77 seconds.

The formula for a basic pendulum's period is

T = 2π√(L/g)

where L is the pendulum's length and g is its gravitational acceleration.

Substituting the given values, we get:

T = 2π√(5.64/9.8)

Simplifying the expression inside the square root, we get:

T = 2π√(0.5755)

Calculating the square root, we get:

T = 2π(0.759)

Multiplying by 2 and π, we get:

T = 4.77 seconds (rounded to two decimal places)

Therefore, the period of the pendulum is approximately 4.77 seconds.

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The equations of the lines that passes through the given points are:

Part A:

The slope of the line is given by:

m = (y2 - y1)/(x2 - x1) = (-2 - 3.5)/(10 - (-1)) = -0.5

Using the point-slope form of the equation of a line, where (x1, y1) = (-1, 3.5) and m = -0.5, we get:

y - 3.5 = -0.5(x + 1)

Simplifying, we get:

y = -0.5x + 2

Therefore, the equation of the line passing through the points (-1, 3.5) and (10, -2) is y = -0.5x + 2.

Part B:

The slope of the line is given by:

m = (y2 - y1)/(x2 - x1) = (9 - (-12))/(3 - (-4)) = 21/7 = 3

Using the point-slope form of the equation of a line, where (x1, y1) = (-4, -12) and m = 3, we get:

y - (-12) = 3(x - (-4))

Simplifying, we get:

y = 3x - 0

Therefore, the equation of the line passing through the points (-4, -12) and (3, 9) is y = 3x.

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Answer:

Function: c = 2(m) + 5

A: Jason will spend $11 because 2(3) + 5 = (6 + 5) =11

B: No, because 2(7) + 5 = (14 + 5) = 19 and he only has 15 dollars.

Step-by-step explanation:

Cost = $2(the rate per mile) x (M)(miles driven) plus $5 (base cost)

For A and B I solved using the function.

The equation of the halfpipe is  Option A , (0, 20); Y equals one over eighty times x squared plus 20.

The equation of the halfpipe is  Y = X²/80 +20.

What is parabola ?

The equation of parabola is given by  

(X-h)² = 4p(Y-k)²

In this case h = 0

So we get  

Y = X²/4P +k

Focus point is (h, p+k) , (p+k) = 40

Hence h, k = (0,20)

P = 40-k = 20

Equation Y = X²/80 +20

Therefore, the equation of the halfpipe is  Y = X²/80 +20

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The complete question is -

A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 20 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?

(0, 20); y equals one over eighty times x squared plus 20

(0, 20); y equals one over eighty times x squared minus 20

(0, 10); y equals one over forty times x squared plus 10

(0, 10); y equals one over forty times x squared minus 10

Answer:

-3

Step-by-step explanation:

5x³ + 2 , when x = -1

5(-1)³ + 2

= -5 + 2

= -3

Answer:

-3

(first option listed)

Step-by-step explanation:

we know that 5x³ + 2 is our expression

we want to "evaluate" (find/solve for) when x = -1

we can do this by plugging in -1 to the expression:

5x³ + 2          {note, x = -1}

5(-1)³ + 2    {-1³ = -1}

5(-1) + 2

(-5) + 2

-5 + 2 = - 3

so, when x = -1, the statement is equivalent to -3

hope this helps! :)

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 2000\\ r=rate\to 1.5\%\to \frac{1.5}{100}\dotfill &0.015\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}\)

\(A=2000\left(1+\frac{0.015}{1}\right)^{1\cdot 3}\implies A\approx 2091.36~\hfill \underset{earned~interest}{\stackrel{2091~~ - ~~2091.36}{\approx 91.36}}\)

The complete question is:

The height of a rocket a given number of seconds after it is released is modeled by h(t) = 6t² + 32t + 10. What does t represent?

Answer:

t represents the number of seconds after the rocket is released.

Step-by-step explanation:

We are told that the height of a rocket a given number of seconds after it is released is modeled by the quadratic equation: h(t) = 6t² + 32t + 10

In this quadratic equation, h (height) is the dependent variable which depends on the number of seconds after rocket is released which is the independent variable

Now, since the independent variable in the function is t, then t definitely represents the number of seconds after rocket is released.

Answer:

The answer on edge is A.

Step-by-step explanation:

Answer:

11v-w= -20t

Step-by-step explanation:

combine like terms

20t+11v=w

isolate variable

11v=w-20t

11v-w= -20t

The p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis that the news is read equally for both age groups.

To test whether the proportion of individuals who read newspapers to find out the news is the same for both age groups, we can use a hypothesis test for two proportions. Let p1 be the true proportion of individuals who read newspapers in the age group 36-50, and let p2 be the true proportion of individuals who read newspapers in the age group over 50.

The null hypothesis is that the proportions are equal, i.e., H0: p1 = p2. The alternative hypothesis is that the proportions are not equal, i.e., Ha: p1 ≠ p2.

We can use a significance level of 5%, which means that we will reject the null hypothesis if the p-value is less than 0.05.

To conduct the test, we can calculate the sample proportions of individuals who read newspapers in each age group:

p-hat1 = 25/50 = 0.5

p-hat2 = 30/50 = 0.6

We can also calculate the pooled proportion, which is the weighted average of the two sample proportions:

p-hatp = (25 + 30) / (50 + 50) = 0.55

Using the sample proportions and the pooled proportion, we can calculate the test statistic:

z = (p-hat1 - p-hat2) / √(p-hatp × (1 - p-hatp) × (1/50 + 1/50))

= (0.5 - 0.6) / √(0.55 × 0.45 × (1/50 + 1/50))

= -1.52

The p-value for this test is the probability of getting a test statistic as extreme or more extreme than the observed value of -1.52, assuming the null hypothesis is true. Since this is a two-tailed test, we need to calculate the probability of getting a z-score less than -1.52 or greater than 1.52.

Using a standard normal table or a calculator with a normal distribution function, we can find the p-value:

p-value = P(Z ≤ -1.52) + P(Z ≥ 1.52) ≈ 0.129

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Boxes = 3_2/5

15 = total number of bags of favors

Each bag has 3 items inside

3 × 15 = 45

Total number of items = number of boxes plus (15 × 3).

So, choice A is the answer.

1. Surface area:

We need to split trinagular prism into 5 different polygons. Then calculate the area for each of them, and finally add up the five results to find the total surface area.

We have 2 triangles and 3 rectangles.

Both triangles are equal, so, we only need to find the area for one of them:

- Triangle:

We know h (h = 5 in), but we don't know b, and here is where the Pythagorean theorem comes in:

For our trinagle, we know the hypotenuse length (13 in) and one side length (5 in), so:

And so, going back to the triangle area, we have:

- "Front" rectangle area:

- "Right" rectangel area:

- "Left" rectangle area:

Finally, the surface area of the triangle prism is:

30 + 30 + 260 + 100 + 240 = 660 in^2

2. Volume

The volume is just the area of the base triangle times the height of the prism. So:

Answer:

the answer is = 61

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Answer:

x as a fraction: 11\(\frac{1}{2}\)

Step-by-step explanation:

Variable x cannot be equal to −2 since division by zero is not defined. Multiply both sides of the equation by 9(x+2), the least common multiple of 9,x+2.

2 ( x+ 2) = 9 x 3

Use the distributive property to multiply 2 by x + 2.

2x + 4 = 9 x 3

Multiply 9 and 3 to get 27.

2x + 4 = 27

Subtract 4 from both sides.

2x = 27 - 4

Subtract 4 from 27 to get 23.

2x = 23

Divide both sides by 2.

x = \(\frac{23}{2}\)

Simplify

11\(\frac{1}{2}\)

Hope it helps and have a great day! =D

~sunshine~

Answer:

\(x=\frac{23}{2}\)

Step-by-step explanation:

Hi there!
We are given the following proportion:

\(\frac{2}{9} =\frac{3}{x+2}\), and we want to solve it for x

To solve proportions, we can cross-multiply; in other words, we can multiply the terms in the numerator of one proportion with the terms in the denominator of the second proportion.

This is a property that where if you have the proportion \(\frac{a}{b} =\frac{c}{d}\), it can also be represented as ad=bc
So let's cross multiply; multiply 2 by x+2, and multiply 9 by 3. Then, set them equal to each other.

2(x+2)=9*3

Multiply

2x+4=27
Subtract 4 from both sides

2x=23

Divide both sides by 2

x=\(\frac{23}{2}\)
The answer can be left as that.
Hope this helps!

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Answer:

p = 3

Step-by-step explanation:

Given

4(2 + px) = 12x

If the coefficient of the x- term is the same on both sides of the equation, it will have no solution.

Distributing gives

8 + 4px = 12x ( equate the coefficients of the x- term )

4p = 12 ( divide both sides by 4 )

p = 3

The value of p when the equation has no solution will be 3. Then the correct option is B.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

4(2 + px) = 12x

8 + 4px = 12x

If the coefficient of the x-term is the same on both sides of the equation, it will have no solution.

4p = 12

p = 3

The value of p when the equation has no solution will be 3. Then the correct option is B.

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