Alina can blow 48 balloons in 16 minutes. What is the unit rate of blowing per minute?

Answer:

\(x\leq 76\)

Step-by-step explanation:

Let x = unknown number

⇒ \(\frac{8}{9}*(x-4)\leq 64\)

⇒ \(\frac{8(x-4)}{9} \leq 64\)

Multiply both sides by 9:

⇒ \(8(x-4)\leq 576\)

Expand brackets:

⇒ \(8x-32\leq 576\)

Add 32 to both sides:

⇒ \(8x\leq 608\)

Divide both sides by 8:

⇒ \(x\leq 76\)

80 percent of games 32 games is 40 games.

You just multiply a decimal figure by 100 to convert it to a percentage, such as 0.57. In other words, 0.57 x 100 Equals 57. In percentage terms, 0.57 is equivalent to 57%. 0.03 x 100 = 3% is another illustration.

Assume G to be the total number of games.

Given the information below:

The number equals 80%

Finished: 32 games

To track down the elusive amount of games:

You must calculate the total number of games that result from multiplying 32 games by an 80 percent proportion in this task. G would then be multiplied by the percentage and converted into 32 games.

For the contests:

80/100×G = 32

G = 32/0.8

G = 40games.

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From the following three options for running the appropriate t-test, Both Options (2) and (3) could be applicable depending on the specific research question being investigated.

The appropriate t-test to use in this scenario is paired t-test. This test compares before and after values for one type using excel. In this scenario, you would be comparing either the altimeter error of ACME or brand x before adjustment and calibration and after adjustment and calibration to see if there are any differences in the means (performance).

Based on the scenario described, Option 1 is not appropriate because there is no hypothesized population mean to compare against. Therefore, we can exclude this option.

Option 2, comparing one brand against another, could be appropriate if we want to investigate if there are any significant differences in altimeter error between brands. This would be a two-sample t-test.

Option 3, comparing the altimeter error of one brand before and after calibration, could also be appropriate to see if the adjustment and calibration had a significant impact on the altimeter's performance. This would be a paired t-test.

This test is the appropriate test to use because the dependent variable data in this scenario is the ratio and the type of question requires a paired t-test. In this scenario, you are comparing the performance of the two brands before and after adjustment and calibration, which requires paired t-test to answer the research question.

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Answer:

\(y=\frac{5}{2}x+5\)

Step-by-step explanation:

The slope is \(\frac{5-0}{0-(-2)}=\frac{5}{2}\).

Since the y-intercept is at (0,5), the equation is \(y=\frac{5}{2}x+5\).

I hope this solution helps you.

2 intersecting lines are shown. A line with points T, R, and W intersects a line with points S, R, and V at point R.  the value of x  is  mathematically given as

x=20

This is further explained below.

In most cases, two lines that cross one other are shown. In this example, line TW and line SV meet at point R.

The angles are as follows, starting at the top and moving clockwise:

Angels \(3x\textdegree \ and\ (x+40 \textdegree)\) are considered horizontal angles because of the description (opposite when two lines intersect). Vertical angles are equivalent, therefore

x=20

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Question

The times of all 15 year old who run a certain race are approximately normally distributed with a given mean Mu = 18 sec and standard deviation Sigma = 1. 2 sec. What percentage of the runners have times less than 14. 4 sec?.

Answer:  

A.  0.15%  

Step-by-step explanation:  

The times of all 15 year old who run a certain race are approximately normally distributed with a given mean as 18 sec and standard deviation as 1.2 sec.  

We know that,  

where,  

X = raw score = 14.4  

μ = mean = 18  

σ = standard deviation = 1.2  

Putting the values,  

Finding the the probability from z score table, we get  

Answer:

a

Step-by-step explanation:

Answer:

it's 7 I think maybe I'm wrong

A. \(\bold{\boxed{\green{2^{12}}}}\)

Answer:

Solution given:

\(2^6 x (2^2)^3\)

we know that

product of power and power is added and power to power is multiplied for same base only.

I.E.

product of same base but different power:\(a^b+a^c=a^(b+c)\)

power to power :\( (a^b)^c=a^(b*c)\)

By using above property

\(2^6+2^{2*3}\)

\( 2^6+2^6\)

\(2^{[6+6]}=2^{12}\)

Answer:

400 in.²

Step-by-step explanation:

Surface area of the triangular prism = bh + L(s1 + s2 + s3)

Where,

b = 8 in.

h = 15 in.

s1 = 17 in.

s2 = 15 in.

s3 = 8 in.

L = 7 in.

Plug in the values

S.A = 8*15 + 7(17 + 15 + 8)

S.A = 120 + 7(40)

S.A = 120 + 280

S.A = 400 in.²

The required correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Since both graphs have the same shape, the red graph is a transformation of the blue graph.

When we compare the two graphs, we can see that the red graph is shifted horizontally to the left by 5 units. This means that the equation of the red graph must involve the term "x+5" or "x-5" in some way.

Also, we can see that the red graph intersects the y-axis at the point (0, 5). This means that the equation of the red graph must involve the term "+5" in some way.

The correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units. When we plot this equation, we get a graph that has the same shape as f(x) = |x|, but is shifted to the left and intersects the y-axis at (0, 5).

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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Answer:

4 balls in neither hole, and 6 balls in the smallest hole

Step-by-step explanation:

4 balls in the bigger hole, and 6 balls in neither hole

4(10) + 6(1) = 46

4 balls in the smallest hole, and 6 balls in neither hole

4*100 + 6(1) = 406

4 balls in neither hole, and 6 balls in the smallest hole

4(1) + 6(100) = 604

4 balls in the bigger hole and 6 balls in the smallest hole

4(10)+6(100) = 640

Step-by-step explanation:

1. here we just use a standard formula. the area of a triangle is

A = baseline × height / 2

so,

20×8/2 = 10×8 = 80 m²

2.

this shape consists of a rectangle and a triangle.

we need to calculate the areas of both and then simply add them.

the area of the rectangle is 6×5 = 30 cm²

the triangle is defined by the height (5 cm) of the overall shape (which is then for that right-angled triangle also its own height), the extension of the shape baseline (14 - 6 = 8 m) and the longer connection of these two lines (but we don't need to calculate this).

the area of that triangle is then 8×5/2 = 4×5 = 20 cm²

together that is 30+20 = 50 cm²

3.

this prism (or simply "box") has 6 surface areas with 3 pairs of equally sized areas.

top-bottom : 15×12 (2 times)

front-back : 12×6 (2 times)

left-right : 15×6 (2 times)

so, we have

15×12×2 + 12×6×2 + 15×6×2 = 360 + 144 + 180 = 684 in²

Answer:

a - 8

Step-by-step explanation:

1/2 a - 4

if we scale both numbers by the same factor, we will be creating an equivalent expression.

So, let's say we multiply the equation by 2.

1/2 a (2) = 1 a = a

-4 (2) = -8

One equivalent expression would be

a - 8

[If you want to test this out, try plugging in any number for a. For example, if you plug in 10...

1/2 of 10 = 5, 5 - 4 = 1

1 times 10 = 10, 10 - 8 = 2

These answers are the same scaled as the original equation, the answer for the first expression is multiplied by 2 to get the second expression]

The elements in set A are the solutions to the quadratic equation x² = 4, hence:

{x = -2, x = 2.}

Set A has the description given as follows:

A = {x : x² = 4.}

Meaning that the elements of set A are the values of x for which x² = 4.

Then we have to solve the following quadratic equation:

x² = 4.

The coefficient b of the quadratic equation is of zero, that is, it has no term multiplying x, hence the variable x can be isolated applying the square root to both sides as follows:

sqrt(x²) = sqrt(4)

x = ± 2.

The plus minus symbol is because:

Both numbers squared result in 4, hence the elements of set A are:

{x = -2, x = 2.}

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equation of line can we written by using slope point form

slope of line from equation and point is given

To find the volume generated by rotating the region bounded by the curves y = x^3, y = 0, x = 1, and x = 2 about the y-axis, we can use the method of cylindrical shells.

The method of cylindrical shells involves considering infinitesimally thin cylindrical shells stacked side by side to approximate the volume. Each shell has a radius equal to the x-coordinate of the curve (since we are rotating around the y-axis) and a height equal to the difference in y-values between the two curves.

In this case, the radius of each shell is x, and the height is given by the difference between y = x^3 and y = 0, which is y = x^3 - 0 = x^3.

To set up the integral, we integrate the volume of each cylindrical shell from x = 1 to x = 2:

V = ∫[1,2] 2πx(x^3) dx

Simplifying the integral, we have:

V = 2π ∫[1,2] x^4 dx

Evaluating the integral, we get:

V = 2π [1/5 * x^5] [1,2]

V = 2π [(1/5 * 2^5) - (1/5 * 1^5)]

V = 2π [(32/5) - (1/5)]

V = 2π (31/5)

Therefore, the volume generated by rotating the region bounded by the given curves about the y-axis is (62π)/5 units cubed.

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The intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

The equation of a sphere with center (h, k, l) and radius r is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2. In this case, the center is (-3, 2, 6) and the radius is 5, so the equation of the sphere is (x + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25.

To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere. This gives (0 + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25, which simplifies to 6^2 + (y - 2)^2 + (z - 6)^2 = 25. This equation represents a circle in the yz-plane centered at (2, 6) with a radius of 5.

Therefore, the intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

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Answer:

7

Step-by-step explanation:

part B is the correct answer

Answer:

B) 7

Step-by-step explanation:

f(x)=2(3)+1

2(3)=6

6+1=7

Answer:

(0.6)

Step-by-step explanation:

the y intercept is determined by wherever x = 0

the ordered pair (0,6) has the x value equaling 0

therefore (0,6) represents the y-intercept

Answer:

c) 11

Step-by-step explanation:

If a = 4, what is the value of the expression 12 - a/4 ? A.1/2 B.4 C. 11 D.12

\(12-\frac{a}{4} =12-\frac{4}{4}=12-1=11\)

Hope this helps!

The injection f: Z^2022 -> X defined by the continued fraction representation as described above is an injection from the set of integers Z to the set of irrational numbers X.

To construct an injection from the set of integers Z to the set of irrational numbers X, we can use the concept of continued fractions.

A continued fraction is an expression of the form:

a0 + 1/(a1 + 1/(a2 + 1/(a3 + 1/...)))

where each ai is a positive integer.

We can define the injection f: Z^2022 -> X as follows:

For each integer n in Z, we represent n as a continued fraction as follows:

n = a0 + 1/(a1 + 1/(a2 + 1/(a3 + 1/...)))

where a0 is the whole number part of n, and a1, a2, a3, ... are the coefficients in the continued fraction representation.

To construct the injection, we take the continued fraction representation of n and convert it to a real number by considering the first 2022 terms. We truncate the continued fraction after the 2022nd term and consider the resulting number as the image of n under the injection.

Formally, the injection is defined as:

f(n) = a0 + 1/(a1 + 1/(a2 + 1/(a3 + 1/(... + 1/(a2021 + 1/a2022))))))

To prove that this is an injection, we need to show that distinct integers in Z map to distinct irrational numbers in X.

Suppose we have two integers n and m in Z such that n ≠ m. We need to show that f(n) ≠ f(m).

Since n and m are distinct integers, their continued fraction representations will differ at some point. Therefore, the truncated continued fraction representations for f(n) and f(m) will also differ at some point.

This means that f(n) and f(m) will have different decimal expansions after the 2022nd decimal place, which implies that they are distinct real numbers.

Since f(n) and f(m) are distinct real numbers, it follows that f(n) ≠ f(m).

Therefore, the injection f: Z^2022 -> X defined by the continued fraction representation as described above is an injection from the set of integers Z to the set of irrational numbers X.

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Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

Answer: C

Step-by-step explanation: Hope this help :D

If the initial population is 3800. The population of cockroaches after 3 years will be 1603.

Consider the function:

y = a(1 ± r)ⁿ

where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, there is exponential growth happening by r fraction or r%.

If there is a minus sign, there is exponential decay happening by r fraction or r%.

If the population is currently 3,800 cockroaches.

The expression is given as

y = 3800(0.75)ⁿ

The population of cockroaches after 3 years will be

y = 3800(0.75)³

y = 3800 x 0.4218

y = 1603.125

y ≅ 1603

Hence, the population of cockroaches after 3 years will be 1603.

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The complete question is:

Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.

Answer:

I say 3 sandwiches for 15.

Step-by-step explanation:

to find the best price divided the numbers

15 divided by 3= 5

5 is the price per sandwich for this

21 divided by 4= 5.25

5.25 per sandwich

the 3 for 15 is a better deal. You save money.

Answer:

11.5

Step-by-step explanation:

I took the test!!!!!!!!

A minimum sample size of 121 individuals needs to be surveyed, ensuring a rounded-up value to estimate the proportion of non-graduates within the 25 to 30 age group with a 10% margin of error and 90% confidence.

To determine the sample size required to estimate the proportion of non-graduates within the 25 to 30 age group with a certain level of confidence and margin of error, we can use the formula:

n = (Z^2 * p * (1 - p)) / E^2

Where:

n is the required sample size

Z is the Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of approximately 1.645)

p is the estimated proportion of non-graduates (0.21 based on the information provided)

E is the desired margin of error (10% or 0.10)

Substituting the values into the formula:

n = (1.645^2 * 0.21 * (1 - 0.21)) / 0.10^2

n ≈ 120.41

Rounding up to the nearest integer, the required sample size is 121.

Therefore, you would need to survey at least 121 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within 10% margin of error with 90% confidence.

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