Which figure has reflection symmetry?

Answer:

For the last three years, the National Post has greeted the yuletide season by publishing the video above. With a simple message of maximizing charitable giving by donating money to the food bank instead of canned goods, it is one of our most popular videos of all time, reaching virtually every corner of the English-speaking world.

Step-by-step explanation:

382 students

To estimate the mean change in SAT scores to within 2 points with 95% confidence, you would need a sample of at least 382 high school students. This is because the margin of error (2 points) must be smaller than the standard deviation (50 points). Thus, we use the formula margin of error = (z-score) x (standard deviation/√n), where n is the sample size, to calculate the required sample size. Solving for n yields 382 students.

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Answer:

x=71

Step-by-step explanation:

409+x=480

x=480-409

x=71

Answer:

x=263

Step-by-step explanation:

261+148=409

409+x=672

x=672-409

x263

Answer:

a: (2, -3)

b: 20

c: 24

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

The average Rate of Change of the function f(x) can be calculated as;

\(f(x) = \dfrac{f(b) - f(a)}{b-a}\)

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

\(f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10\)

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

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Answer:

the width is 46 and the length is 99

Step-by-step explanation:

perimeter = 290 yards

length =2w+7

width =w

perimeter = 2w + 2l =290

2w+ 2(2w+7) =290

2w+4w+14= 290

6w = 276

w= 46

Answer:

1,920 words

Step-by-step explanation:

60 divided by 4 is 15

15 times 128 is 1,920.

Hope it helps! :)

Answer:

1920

Step-by-step explanation:

We know that it takes her 4 minutes to type 128 words

So we need to figure out how many it takes her to type a word per minute

128 divided by 4=32

So multiply 32 word by 60 ( 60 mins = an hour)

Answer=1920

The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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The least scores Juan could have had in the two tests are 85 and 100

Let the test scores be x and y

Where x is the current test and y is the previous test

Using the interpretation of the parameters in the question, we have the following:

x = y + 15 --- the relationship between the test scores

The average test scores can be represented as

1/2(x + y) ≥ 92

Substitute x = y + 15 in 1/2(x + y) ≥ 92

1/2(y + 15 + y) ≥ 92

Evaluate the like terms

1/2(2y + 15) ≥ 92

So, we have

2y + 15 ≥ 184

This gives

2y ≥ 169

Divide by 2

y ≥ 84.5

From the question both numbers are integers

So, we can assume that y = 85

Substitute y = 85 in x = y + 15

x = 85 + 15

Evaluate

x = 100

Hence, the possible test scores are 85 and 100

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The histogram doesn't support Alfonso's claim and the correct option is 5: No, the distribution is skewed to the left with a mean age greater than 36.

What is a histogram?

A histogram is a graphic depiction of a frequency distribution with continuous classes that has been grouped. A series of rectangles with bases equal to the distances between class boundaries and areas proportional to frequencies in the associated classes make up the area diagram.

Consider the given histogram at the photo below. It is an left-skew histogram, since it has a long tail to the left side.

We need to estimate the mean of the given data. To do so, we need to multiply each class midpoint with its probability, and sum them.

For example, for the first one, the midpoint is 32 and the probability is 0.03 (read the value on the y-axis). For, the second one, the midpoint is 33 and the probability is 0.04, for the third the midpoint is 34 and the probability is 0.05, and so on. All needed values are presented below.

1. midpoint = 32, probability= 0.03

2. midpoint = 33, probability = 0.04

3. midpoint = 34, probability = 0.05

4. midpoint = 35, probability = 0.1

5. midpoint = 36, probability =0.11

6. midpoint = 37, probability = 0.13

7. midpoint = 38, probability = 0.2

8. midpoint = 39, probability = 0.09

So, it is obtained that -

μ = 0.03 · 32 + 0.04 · 33 + 0.05 · 34 + 0.10 · 35 + 0.11 · 36 + 0.13 · 37 + 0.25 · 38 + 0.20 · 39 + 0.09 · 40

μ = 37.15

Therefore, this histogram is left-skewed with mean greater than 36.

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The probability that a resident in the town uses Social Networking Site 1 is 6/9 or 66.67%.

Probability:

Probability is the branch of mathematics that deals with numerical descriptions of how likely an event or how likely a statement is to be true. The probability of an event is a number between 0 and 1, with 0 representing an impossibility and 1 representing certainty, roughly speaking. The higher the probability of an event, the higher the probability of an event occurring. A simple example is a fair (unbiased) coin toss. Since the coin is fair, both outcomes ("heads" and "tails") are equally likely. The probability of an "eagle" is equal to the probability of a "tail". Since no other outcome is possible, the probability of getting heads or tails is 1/2 (which can also be written as 0).

Given that:

56% of residents use Social Networking Site,

36% use Social Networking Site 2, and

24% use both Social Networking site 1 and 2,

Therefore,

The probability that a resident in the town uses Social Networking Site 1 is 6/9 or 66.67%.

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Comparing the two probabilities, we can see that the probability of any particular letter being called first (1/5) is five times greater than the probability of any particular number being called first (1/75). This is because there are five letters and only one number will be called first.

Viet's description of the probability of each number being called first can be determined as follows. There are 75 numbers in the set, and each number has an equal chance of being called first. Therefore, the probability of any particular number being called first is 1/75.

Quinn's description of the probability of any particular letter being called first can be determined as follows. There are five letters in the set, and each letter has 15 numbers associated with it. Therefore, the probability of any particular letter being called first is 15/75 or 1/5.

Comparing the probabilities, we can see that the probability of any particular letter being called first is greater than the probability of any particular number being called first. This is because there are fewer letters (5) than numbers (75), so the probability of selecting a particular letter is higher than the probability of selecting a particular number.

Therefore, Quinn's probability of any particular letter being called first is greater than Viet's probability of any particular number being called first.

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See transcribed text below

TOPIC

7

MID-TOPIC PERFORMANCE TASK

Viet, Quinn, and Lucy are going to play Bingo, using a standard game set. They make some predictions before the game begins. The table shows how the numbers match with the letters B, I, N, G, and O.

Letter

Numbers

B - 1-15

1 -16-30

N-31-45

G- 46-60

O- 61-75

PART A

Viet describes the probability of each number being called first. Quinn describes the probability of any particular letter being called first. Compare the probabilities.

The set S = {〈5, 3, −6, −2〉, 〈21, 13, −28, −14〉, 〈−3, −2, 5, 4〉} is dependent. An independent subset S' of S can be obtained by removing one of the vectors that can be expressed as a linear combination of the other vectors. In this case, we can remove the third vector 〈−3, −2, 5, 4〉.

To express each vector from S − S′ (in this case, only the third vector) as a linear combination of the vectors from S', we need to find the coefficients that satisfy the equation:

c1⋅〈5, 3, −6, −2〉 + c2⋅〈21, 13, −28, −14〉 = 〈−3, −2, 5, 4〉

Solving this equation, we find that c1 = 1/3 and c2 = -2/3. Therefore, the third vector 〈−3, −2, 5, 4〉 can be expressed as a linear combination of the first two vectors in S'.

Thus, an independent subset S' of S that spans the same subspace is S' = {〈5, 3, −6, −2〉, 〈21, 13, −28, −14〉}, and the vector 〈−3, −2, 5, 4〉 can be expressed as -1/3⋅〈5, 3, −6, −2〉 + 2/3⋅〈21, 13, −28, −14〉.

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Answer:

7 feet

Step-by-step explanation:

becuse you do 15-8 and get 7

Answer: x is 28?? just do 29-2

Answer:

There are 3 DVD s that can be bought with under $100.

Step-by-step explanation:

Since we have given that

Cost of DVD = $15.99

Cost of Shipping = $ 9.99

Total cost per DVD would be

$15.99 + $9.99 = $ 25.98

Amount he has to spend no more than $ 100.

So, number of DVDs would be

100 ÷ 25.98 = 3.84

Hence, there are 3 DVD s that can be bought with under $100.

The integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

To evaluate the integral of du/sqrt(a^2 - u^2), we can use a trigonometric substitution. Let's substitute u = asin(theta), where theta is a new variable. Differentiating u with respect to theta gives du = acos(theta)*d(theta).

Now, let's substitute these expressions back into the integral:

∫(du/sqrt(a^2 - u^2)) = ∫((acos(theta)d(theta))/sqrt(a^2 - a^2sin^2(theta)))

Simplifying the expression under the square root:

= ∫((acos(theta)d(theta))/sqrt(a^2(1 - sin^2(theta))))

= ∫((a*cos(theta)d(theta))/(acos(theta)))

= ∫d(theta)

= theta + C

Since we made the substitution u = asin(theta), we need to express the result in terms of u. Using the relationship u = asin(theta), we can find theta = arcsin(u/a). Therefore, the integral becomes:

∫(du/sqrt(a^2 - u^2)) = theta + C = arcsin(u/a) + C

Hence, the integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

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Answer:

5 dollars left

Step-by-step explanation:

4 x 5 is 20

then 20-15 is 5

hope this helps luv

Answer:

a rectangle with 2 yards and 3 yards

Step-by-step explanation:

12 yards and 23 yards

x and 2x - 1

------------------------------------

2 and 3 = x and 2x - 1

2 and 2(2) - 1 = 2 and 3

I might be wrong.

Answer:

n>10

Step-by-step explanation:

2n>20

n>20/2

n>10

Answer:

The answers are

1) x=24

2) x=30

Answer:

A

Step-by-step explanation:

Every integer is a rational number; a whole number. The square root of 49 equals 7, which is the only outcome giving an integer as an answer.

(a) Cases: US women ages 10-50. Variable: births in 2008. (b) The bin for 38-40 years old has height 40, so 40 births occurred.  (c) The bin for 18-20 years old has height 160, so 160 births occurred.

(a) The cases in this study are US women ages 10-50. The variable is the number of births in 2008. (b) The bin for 38-40 years old has a height of 40, so this indicates that 40 births occurred among women who are at least 38 years old. (c) The bin for 18-20 years old has a height of 160, so this indicates that 160 births occurred among women in that age group. To further illustrate this, each bar on the histogram shows the frequency with which the data fall within a specific age range. The height of each bar indicates the frequency with which the data fall within that range. For example, the bar for 18-20 years old indicates that the data fall within this age range 160 times, which means that 160 births occurred among women in that age group.

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Answer:

29

Step-by-step explanation:

The probability of an event happening is a number from 0 (even will cannot possibly happen) to 1 (event will definitely happen.)

0 ≤ p ≤ 1

1/100, 0, 85% are all numbers from 0 to 1.

29 is not from zero to 1, so the answer is 29.

Every value{0.01, 0.29, 85%} can represent the probability of an event occurring except option d that is 1.5.

Given to us,

a.)  \(\dfrac{1}{100}\)

b.)  0.29

c.)  85%

d.)  \(\dfrac{3}{2}\)

The probability help us to know about the probability of specific events occurring.

For a sure event, the probability is always 1,

while for an event that will never happen the probability is always 0.

Thus, probability(p),  \(\bold{1 \geq p\geq 0}\).

Now looking at the options,

a.)  \(\dfrac{1}{100}\) = 0.01

b.)  0.29

c.)  85% = 0.85

d.)  \(\dfrac{3}{2}\) = 1.5

Now comparing each option with \(\bold{1 \geq p\geq 0}\).

Therefore, the only option which is not feasible is option d that is 1.5.

Hence, every value{0.01, 0.29, 85%} can represent the probability of an event occurring except option d that is 1.5.

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inverse operations = x=.5

simplify = x=1/2

inverse operations = x=.5

solution = x=1/2

check:

Let x = 3/2

10×3/2-5=10

use this rule = a×b/c=ab/c

10×3/2-5=10

Simplify  10×3  to 30.

30/2-5=10

Simplify 30/2 to 15

15-5=10

Simplify 15-5=10

10=10

Checked✅

Answer:

The longest ski pole to fit would lie diagonally. The length of the diagonal can be found by the Pythagorean theorem.

d=sqrt(1202+252)

d ~= 122.58 cm

Step-by-step explanation:

Answer:

123 cm (nearest whole number)

Step-by-step explanation:

The orientation of the ski pole to allow it to be its maximum length would be placing it from corner to opposite corner of the base of the box.

Therefore, this can be modeled as the hypotenuse of a right triangle, where the length and width of the box are the legs.

To find the hypotenuse, use Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse)

Given:

Substitute given values into the formula and solve for c:

⇒ a² + b² = c²

⇒ 25² + 120² = c²

⇒ c² = 15025

⇒ c = √(15025)

⇒ c = 123 cm (nearest whole number)

Answer:

tanD =4/7

Step-by-step explanation:

tanD = P/B

Where P=4 and B=7

So;

tanD=4/7

Answer:

it's not b and c

Step-by-step explanation:

it's a and c

brainliest please

Answer:

1/29

Step-by-step explanation:

There are 29 students in total, and the students with blue eyes is only 1.

The fraction would be 1/29 and this is its simplest form.

The fraction of the students who have blue eyes is 1/29.

A bar chart, also known as a bar graph, is a chart or graph that displays categorical data using rectangular bars with heights or lengths proportional to the values they represent.

First, we have to find the number of students in the class.

Notice that, the number of brown eyes students is 11.

The number of blue eyes students is 1.

The number of green eyes students is 13.

The number of hazel eyes students is 2.

The number of other eyes students is 2.

So, the number of students in the class is 11 + 1 + 13 + 2 + 2 = 29.

Therefore, the fraction of the students who have blue eyes is 1/29.

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Answer:

Step-by-step explanation:

\(\dfrac{3+x}3=\dfrac{20}5\\\\3+x = 4\cdot3\\\\x=12-3 \\\\x= 9\)                               \(\dfrac{4+y}4=\dfrac{20}5\\\\4+y= 4\cdot4\\\\y=16-4 \\\\y=12\)

\(\dfrac{3+x+u}3=\dfrac{60}5\\\\3+9+u=12\cdot3\\\\u=36-12 \\\\u=24\)                      \(\dfrac{4+y+v}4=\dfrac{60}5\\\\4+12+v=12\cdot4\\\\v=48-16 \\\\v=32\)