PLZ HELP WILL GIVE 35 POINTS!!!
Hugo needs to buy some items for a party. Paper plates are sold in packs of 10 at 1.2p dollars per pack. Paper cups are sold in packs of 12 at 4/5p + q dollars per pack. There are 100 students, and each student needs one paper plate and one paper cup. What is the amount that Hugo must spend?

It will take 29.4 years for the population of Africa to be two times what it is today. This reflects: doubling time.

Doubling time is the time it takes for a particular amount of size or value to double at a given growth rate. By applying the 70 rules, we can find the doubling time of the exponentially increasing population. To do this, divide 70 by the growth rate (r).

Rule of 70 is a simplified way to determine the doubling time using the equation doubling time = 70 / r. Where r is the percentage growth rate of the population. For example, if the population of 10 species increases by 2 individuals per year, the r value will be 20%.

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Missing data:

Viewer's Age Group  Excellent Good Average Poor Marginal Total

16–25                          52                 42       12       7           113

26–35                          33                50         5       9          97

36–45                          58                 12       28      34         132

46–55                          25                17       22       12            76

56 +                               12                 5          3         8             28

Marginal Total             180               126      70      70           446

A rating of good or excellent indicates the audience liked the movie, while a rating of poor indicates the audience disliked the movie.

A movie producer accomplished a survey behind a preview screening of her latest movie to estimate how the film would be accepted by viewers from various age groups. The table displays the numbers of viewers in various age groups who ranked the film excellent, good, average, and poor.

25/446 = 0.05605

0.05605 \(*\) 100% = 5.605%

Out of the entire respondents, the percentage of respondents from the 46–55 age group who ranked the film excellent exists at 5.605%.

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Answer:

KK well first you have to figure out step 4

which i THINK you find the GCF ( greatest common factor)

which is two so the equation would look like 1y=3x this is the second answer

I THINK she's applying factoring or distributive property

Step-by-step explanation:

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Pascal's triangle can be used to expand the binomial (d-3)^6. The expansion involves applying the binomial theorem and using the coefficients from the corresponding row of Pascal's triangle.

In this case, the sixth row of Pascal's triangle is 1 6 15 20 15 6 1, which represents the coefficients for each term in the expansion of (d-3)^6.

The binomial theorem states that for any binomial expression (a+b)^n, the expansion can be represented as the sum of terms of form C(n, k) * a^(n-k) * b^k, where C(n, k) is the binomial coefficient obtained from Pascal's triangle.

In this case, we have (d-3)^6, so the expansion will have seven terms corresponding to the powers of d from 6 to 0. Using the coefficients from the sixth row of Pascal's triangle, we can write the expanded form as:

(d-3)^6 = 1d^6 + 6d^5*(-3) + 15d^4(-3)^2 + 20d^3(-3)^3 + 15d^2(-3)^4 + 6d(-3)^5 + 1*(-3)^6.

Simplifying the terms and raising -3 to different powers, we can obtain the expanded form of (d-3)^6.

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Taking choices that benefit the world on a microeconomic or macroecomomic level.

Taking choices that benefit the environment, whether on an individual, national or international level.

Striving towards establishing inclusive and resilient forums that are broad-minded.

Establishing close connections with other nations to benefit global communities and address major societal issues like gender discrimination and marginalisation.

i am going left to right

first one is 1/16

second one is divided sign

the third one is (7/10

the fourth one is the minus sign

and the last one is the 5/8)

Answer: 30

Step-by-step explanation:

Devon drove 30 miles in 1 hour because 120/4 is 30

To find the equation of the line that passes through the given point and has the indicated slope, we can use the point-slope form and then simplify it to the slope-intercept form.

Given point: (-8,-2)Indicated slope: m = 3/4Point-slope form: y - y1 = m(x - x1). Substituting the values of m, x1 and y1, we get:y - (-2) = 3/4(x - (-8))y + 2 = 3/4(x + 8). Multiplying both sides by 4, we get:4y + 8 = 3(x + 8)4y + 8 = 3x + 24

Subtracting 3x and 8 from both sides, we get:4y - 3x = 16This is the equation of the line in standard form. To write it in slope-intercept form (y = mx + b), we can solve for y and get:y = (3/4)x + 4. This is the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.

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A new college graduate in business would need to earn at least $78,278 in order to have a starting salary higher than % of starting salaries of new college graduates in health sciences.

a. To find the probability that a new college graduate in business will earn a starting salary of at least X, we need to calculate the z-score:
z = (X - ) /
Using the given values, we have:
z = (X - ) /
z = (X - ) /
From the z-table, we can find the probability corresponding to this z-score. For example, if X = 60,000, then:
z = (60,000 - ) /
z = (60,000 - ) /
Looking up this z-score in the table, we find the probability to be approximately 0.8643. Therefore, the probability that a new college graduate in business will earn a starting salary of at least $60,000 is 0.8643.
b. Similarly, to find the probability that a new college graduate in health sciences will earn a starting salary of at least Y, we need to calculate the z-score:
z = (Y - ) /
Using the given values, we have:
z = (Y - ) /
z = (Y - ) /
From the z-table, we can find the probability corresponding to this z-score. For example, if Y = 50,000, then:
z = (50,000 - ) /
z = (50,000 - ) /
Looking up this z-score in the table, we find the probability to be approximately 0.9332. Therefore, the probability that a new college graduate in health sciences will earn a starting salary of at least $50,000 is 0.9332.
c. To find the probability that a new college graduate in health sciences will earn a starting salary less than Z, we need to calculate the z-score:
z = (Z - ) /
Using the given values, we have:
z = (Z - ) /
z = (Z - ) /
From the z-table, we can find the probability corresponding to this z-score. For example, if Z = 45,000, then:
z = (45,000 - ) /
z = (45,000 - ) /
Looking up this z-score in the table, we find the probability to be approximately 0.8289. Therefore, the probability that a new college graduate in health sciences will earn a starting salary less than $45,000 is 0.8289.
d. To find the salary that a new college graduate in business would need to earn in order to have a starting salary higher than % of starting salaries of new college graduates in health sciences, we need to find the z-score corresponding to this percentile.
From the given information, we know that  is the average starting salary for new college graduates in health sciences, and  is the standard deviation. Using the z-table, we can find the z-score corresponding to the percentile. For example, if we want to find the salary that is higher than % of starting salaries of new college graduates in health sciences, then the z-score is approximately 1.44.
Now, we can use the z-score formula to find the corresponding salary for a new college graduate in business:
z = (X - ) /
1.44 = (X - ) /
Solving for X, we get:
X =  + 1.44
Using the given values, we have:
X =  + 1.44
X =  + (1.44 x )
Substituting the values of  and , we get:
X =  + (1.44 x )
X =  + (1.44 x )
Rounding to the nearest whole number, we get:
X = $78,278

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The series of transformation that move the pentagons is (d) translation, translation

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have:

This means that the only transformation is translation

So, the series of transformation is (d) translation, translation

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Answer: slide the triangle to the right 3 times and down 1

Step-by-step explanation:

Answer:

As you may already know, water drops that fall from the cloud are considered "rain".

The Sun's heat turns the moisture or water from leaves, plants, rivers, lakes, and oceans - and turns it into gas or also called, vapor. This water vapor then turns into gas and disappears into the air. When it gets mixed with the air, it cools down. When it cools down, it changes into small water drops, which then form a cloud. These small water drops join together with other water drops to create larger and bigger water drops.

You may know this now because this is the easiest part. What happens when something gets heavy or is over-filled? It falls down, right?

So, the large drops from water fall down as they get too heavy for the cloud to carry. These big droplets falling down on us are called Rain.

Answer:

86 heartbeats per minute

Step-by-step explanation:

i assume that's your question?

the number of heartbeats per minute is 86.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 473 heartbeats in \(5\frac{1}{2}\) = 11/2minutes

Number of heart beats per minute = Total number of heart beats ÷ Number of minutes

= 473÷ 11/2

= 473×2/11

= 43×2

= 86 beats per minute

Therefore, the number of heartbeats per minute is 86.

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Answer:

\(2^5\)

Step-by-step explanation:

Properties of exponents:

Quotient of power ( when the bases are different and the exponents are the same : \(\frac{a^m}{b^m} =(\frac{a}{b} )^2\) )

Explanation of property. When exponents are being divided, if the exponents are the same but the bases are different then divide the bases and keep the exponents the same

We want to find \(\frac{10^5}{5^5}\)

Because they have the same exponent but different bases we can use the property stated earlier where you divide the bases and keep the exponent the same.

The bases are 10 and 5. 10 is being divided by 5 so we do 10/5 which equals 2. The property says to keep the exponent the same so the answer is \(2^5\)

False. Athlon and A-Series processors manufactured by AMD are x86 compatible, meaning they can execute software and instructions designed for the x86 architecture.

Contrary to the statement, Athlon and A-Series processors manufactured by AMD are indeed x86 compatible. The x86 architecture, developed by Intel, has become the industry standard for personal computers and servers.

AMD, as one of the leading competitors in the processor market, has designed their processors to be fully compatible with the x86 instruction set.

The x86 architecture is characterized by its ability to handle complex and diverse tasks, providing compatibility with a wide range of software and operating systems.

Athlon and A-Series processors, being part of the x86 family, can seamlessly run software applications written for the x86 architecture without any compatibility issues.

This compatibility is essential for ensuring a smooth user experience and allowing users to leverage a vast ecosystem of software and tools that are built for the x86 platform.

AMD has made significant contributions to the advancement of x86 processors, introducing various architectural enhancements and optimizations.

These processors feature multiple cores, advanced cache systems, and support for high-performance computing tasks. They are widely used in desktop computers, laptops, and servers, catering to the needs of both consumers.

These processors are specifically designed to be fully compatible with the x86 architecture, ensuring efficient execution of software and providing users with access to a wide range of applications and tools.

The x86 compatibility of AMD processors is a significant factor contributing to their popularity and widespread use in the computing industry.

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There is no question context so it is not sufficient for an answer, however I am assuming its asking for you based on the images to pair the charts to graph.

First lets find the slope of (20,-1) (21,-1.5)

\(Slope = \frac{y2-y1}{x2-x1}\)

-1+1.5
20-21

The slope for that chart is 0.5/-1 which is -0.5 or -1/2. This makes that chart paired with the following graph:

Answer:

-11

Step-by-step explanation:

Simplify

Answer:

c=−11

Step-by-step explanation:

-2(3+c)=16

Divide both sides by -2

-2(3+c)/-2 = 16/-2

Simplify

3+c=-8

Subtract 3 from both sides

3+c-3=-8-3

Simplify

c=-11

The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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The 90% confidence interval for the population proportion of tenth graders reading at or below the eighth-grade level is (0.179, 0.220).

Firstly, determine the sample proportion:
The number of students reading at or below the eighth-grade level = Total students sampled - Students reading above the eighth-grade level

The number of students reading at or below the eighth-grade level = 1042 - 834

The number of students reading at or below the eighth-grade level= 208 students.
Sample proportion (p) = 208/1042

p = 0.1996 (rounded to four decimal places).

Now, we will determine the standard error (SE) for the sample proportion:
SE = √(p * (1 - p) / n)

= √(0.1996 * (1 - 0.1996) / 1042)

≈ 0.0124 (rounded to four decimal places)

Now, determine the z-score corresponding to the 90% confidence interval:
Since it is a 90% confidence interval, we will look for the z-score that has 0.05 in each tail (1 - 0.90 = 0.10, and 0.10 / 2 = 0.05). The z-score for a 90% confidence interval is 1.645.

Now, calculating the margin of error (ME):
ME = z-score * SE

= 1.645 * 0.0124 ≈ 0.0204 (rounded to four decimal places)

Lastly, constructing the 90% confidence interval:
Lower limit = p - ME

= 0.1996 - 0.0204

= 0.179 (rounded to three decimal places)
Upper limit = p + ME

= 0.1996 + 0.0204

= 0.220 (rounded to three decimal places)

So, the 90% confidence interval for the population proportion of tenth graders reading at or below the eighth-grade level is (0.179, 0.220).

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The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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Answer:

17 inches

Step-by-step explanation:

for this equation, we know the length and the width of the water and the volume. we can use this information to solve for the height of the water.

V = 2244 cubic inches

l = 12 in

w = 11 in

V = l * w * h

2244 = 12 * 11 * h

2244 = 132h

17 = h

the height of the water is 17 inches.

Do you see the negative sign in front of the parentheses? That is -1.

Multiply each term inside the parentheses by -1.

Doing so, we get -8 -b.

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

Answer:

yzx and tus

Step-by-step explanation:

The correct statement is: The absolute frequency of Vanilla is 3 and its relative frequency is 0.33.

In the given ice cream orders, Vanilla appears 3 times. This count of 3 represents the absolute frequency of Vanilla. Absolute frequency refers to the actual number of occurrences of a particular observation or event. To calculate the relative frequency of Vanilla, we divide its absolute frequency by the total number of observations. In this case, the total number of ice cream orders is 12. Thus, the relative frequency of Vanilla is 3/12, which simplifies to 0.25 or 25%.

Relative frequency represents the proportion or percentage of the total observations that a specific event or observation constitutes. It provides a standardized measure that allows for comparison across different data sets. In this context, Vanilla comprises 25% of the ice cream orders, indicating its relative popularity compared to other flavors in the sample.

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The given identities can be verified using basic rules of exponentials and algebra. Here are the steps to verify the given identities:

(a) 1 = ∑_(n=1) ^∞▒〖10^(x)+2(-1) ^nln⁡(x)〗0

Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n. ∑_(n=1)^∞▒10^(x) = 10^x+10^x+...= (2/3) (10^x) (odd terms only)∑_(n=1)^∞▒〖(-1)^nln⁡(x)〗= ln(x)-ln(x)+ln(x)-ln(x)+...= (0) (even terms only)

Thus, we have 1= (2/3) (10^x) + (0) = (2/3) (10^x) (b) e^x = ∑_(n=1) ^∞▒〖10^x+2n(x)〗

Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n.

∑_(n=1) ^∞▒10^(x) = 10^x+10^x+...= (1/2) (10^x) (even terms only) ∑_(n=1) ^∞▒〖2n(x)〗= 2(x)+2(2x) +2(3x) +...= 2x (1+2+3+...) = -x/(-1) ^2= -x

Thus, we have e^x= (1/2) (10^x) - x(c) e^(-x) = ∑_(n=1) ^∞▒〖10^x+2(-1) ^nln⁡(x)〗0

We can use the same series from part (a) with x replaced by -x.

Thus, we have e^(-x) = (2/3) (10^(-x)) + (0) = (2/3) (1/10^x)

Similarly, e^x= (2/3) (10^x) Subtracting these two equations, we get: e^x - e^(-x) = (2/3) (10^x + 1/10^x) (answer) (d)

Cosh x = ∑_(n=0) ^∞▒〖10^x+2n(x)〗

Similar to part (b), we have two series, one for even values of n, and one for odd values of n.∑_(n=0)^∞▒10^(x) = 1+10^x+10^x+...= (1/2) (10^x) (even terms only)∑_(n=0)^∞▒〖2n(x)〗= 0+2x+2(2x)+2(3x)+...= 2x (1+2+3+...)= 2x(1/(-1)^2)= 2xThus, we have Cosh(x) = 1 + (1/2) (10^x) + 2x (e^x)(e^x - e^(-x)) / 2= 1 + (1/2) (10^x) + 2x (1 + (2/3) (10^x + 1/10^x)) (answer)(e) Sinh x = ∑_(n=1)^∞▒〖2^(2n-1)(x)〗

Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n.∑_(n=1)^∞▒〖2^(2n-1)(x)〗= 2x+2^3x+2^5x+...= 2x(1+2^2+2^4+...)= 2x(2^0+2^2+2^4+...)= 2x(1/ (1-2^2))= -2x/3Thus, we have Sinh(x) = ∑_(n=1)^∞▒〖2^(2n-1)(x)〗= 2x/3 (answer)

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Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

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Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

I understand that you want a concise explanation with the main answer in the last two lines. The term you're looking for is the calculation that involves dividing the estimated coefficient (b) by its estimated standard error (SEb). This computation is used in statistical analysis to determine the significance of a variable in a regression model.
In a regression analysis, the coefficient represents the slope of the line, showing the relationship between the independent and dependent variables. The standard error of the coefficient (SEb) is an estimate of the variability of the coefficient. By dividing b by SEb, we get a statistic that helps us assess the precision and significance of the estimated coefficient.
Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

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