Changed 19/4 into a mixed number (fraction).

Answer

a)

1939 | 103,188

1940 | 183,866

1941 | 222,202

1942 | 191,383

1943 | 191,890

1944 | 109,873

1945 | 133,792

1946 | 109,860

1947 | 156,517

1948 | 74,715

1949 | 69,479

1950 | 120, 718

1951 | 68,687

1952 | 45,030

1953 | 37,129

1954 | 60,866

1955 | 62, 786

b) 1948, 1949, 1951, 1952, 1953, 1954, 1955 all had fewer than 100,000 cases of whooping cough.

7 years out of 17 years had fewer than 100,000 cases of whooping cough.

c) Based on the data, we expect 1956 to have closer to 50,000 cases of whooping cough.

Check Explanation for more

Explanation

a) The first question asks us to arrange the table in an order that arranges them by year.

1939 | 103,188

1940 | 183,866

1941 | 222,202

1942 | 191,383

1943 | 191,890

1944 | 109,873

1945 | 133,792

1946 | 109,860

1947 | 156,517

1948 | 74,715

1949 | 69,479

1950 | 120,718

1951 | 68,687

1952 | 45,030

1953 | 37,129

1954 | 60,866

1955 | 62,786

b) Which years in this period had fewer than 100,000 cases of whooping cough?

1948, 1949, 1951, 1952, 1953, 1954, 1955 all had fewer than 100,000 cases of whooping cough.

7 years out of 17 years had fewer than 100,000 cases of whooping cough.

c) Based on the data provided, would we expect year 1956 to have closer to 50,000 cases or closer to 100,000 cases.

From the pattern of the number of whooping cough cases, year by year, we can see that the numbers decline (albeit not steadily nor consistently) year after year with only one or two years serving as serious outliers where the numbers spiked in that year, then, the decline from year to year still continues.

And seeing that none of the close years leading to 1956 had close to 100,000 cases, and in fact, this decline below 100,000 cases continues, with some years even declining below the 50,000 cases mark.

Hence, it is logical and clear to predict (bar any outrageous circumstances) that the number of expected cases of whooping cough in 1956 should be closer to the 50,000 cases mark than the 100,000 cases mark.

Hope this Helps!!!

Using the midpoint formula we will see that the coordinates of B are (-9, 1)

We know that for two points (x, y) and (a, b) the midpoint is at:

( (x  + a)/2,  (y + b)/2)

In this case if the coordinates of B are (x, y), we can write the equation:

(-2, 4) = ( (x + 5)/2, (7 + y)/2)

We can solve these two equations to find the coordinates of point B, we will get:

(x + 5)/2 = -2

x + 5 = -4

x = -4 - 5 = -9

And:

(7 + y)/2 = 4

7 + y = 4*2 = 8

y = 8 - 7 = 1

The coordinates of B are (-9, 1)

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Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."

According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.

We can set up two equations based on the given information:

C + B = 60 (equation 1, representing the total number of sweets)

2C + 3B = 144 (equation 2, representing the total cost in dollars)

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From equation 1, we can rewrite it as C = 60 - B.

Now substitute this value of C in equation 2:

2(60 - B) + 3B = 144

Simplify the equation:

120 - 2B + 3B = 144

Combine like terms:

120 + B = 144

Subtract 120 from both sides:

B = 144 - 120

B = 24

Now substitute the value of B back into equation 1 to find C:

C + 24 = 60

C = 60 - 24

C = 36

Therefore, Lily bought 36 cookies and 24 brownies.

Answer:

$1500

Step-by-step explanation:

you can figure it out by going in increments of 4.5 years because that is the info you have from the problem so

47000 4.5 years later is 23500

9 years = 11750

13.5y = 5875

18y = 2937.5

22.5 years later is 1468.75

22.5 years is about 23 years and to the nearest hundred dollars that is $1500 so that is the answer

Hope this helps! :)

we know the car depreciates every 4.5 years, and we also know its by one half or namely the depreciation rate is 50% of its value.

\(\textit{Periodic/Cyclical Exponential Decay} \\\\ A=P(1 - r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &47000\\ r=rate\to 50\%\to \frac{50}{100}\dotfill &0.5\\ t=years\dotfill &23\\ c=period\dotfill &4.5 \end{cases} \\\\\\ A=47000(1 - 0.5)^{\frac{23}{4.5}}\implies A=47000(0.5)^{\frac{46}{9}}\implies A\approx 1400\)

The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

2 miles

Step-by-step explanation:

Car travels at 60 miles/1 hour

1 hour has 60 minutes

Car travels at 60 miles/60 minutes, which can be reduced to 1 mile/1 minute

In 2 minutues, the car travels two miles

The inequality to  represent the equation is 4x>2x ₊ 6

Given,

Cindy is longboarding 6 miles ahead of Tamira.

Cindy is traveling at an average rate of 2 mph

cindy = 2x ₊ 6

Tamira is traveling at a rate of 4 mph.

Tamira = 4x

Tamira will be ahead of cindy so,

4x > 2x ₊ 6

hence we get the inequality as 4x > 2x ₊ 6

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Answer:

B

Step-by-step explanation:

because yea

Answer:

Step-by-step explanation: I just did it on imagine math.

The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

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Answer: 1085

Step-by-step explanation:

Answer:

10 i think

Step-by-step explanation:

Answer:

Notice that distance is always positive or 0. (-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

adding both,

x-y=6 ------------------(1)

x+y=10 -------------------------(2)

Cutting y, we get

2x=16

∴x=8

Eq. in (2)

y=10-8

 =2

Pls mark me brainliest

This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.

The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.

given

Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.

Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.

This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.

In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.

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The complete question is :-   Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.

Answer:

3 mph

Step-by-step explanation:

Find the following:

  5 miles        5 miles

---------------- = ----------- = 3 mph

  1 2/3 hr        5/3 hr

Answer:

number is -155

Step-by-step explanation:

let the number equal 'x'

quotient means divide

nine more means plus 9

quotient of a number and 5 means x divided by 5

9+ x/5 = -22

now to solve for x

x/5 = -31

x = -155

Cost of white shirt = 2.50 $

Cost of blue shirt = 1.50 $

We have asked to find percentage difference\(.\)

_________________________________

\(:\implies\sf\:\dfrac{cost_{blue}-cost_{white}}{cost_{blue}+cost_{white}}\times 100\)

\(:\implies\sf\:\dfrac{2.50-1.50}{2.50+1.50}\times 100\)

\(:\implies\sf\:\dfrac{1}{4}\times 100\)

\(:\implies\:\boxed{\bf{\gray{25\:\%}}}\)

Answer:

1

Step-by-step explanation:

A)

\(( \sqrt{3 } - \sqrt{2} )( \sqrt{3} + \sqrt{2} )( \sqrt{5 } - \sqrt{4} )( \sqrt{5} + \sqrt{4} )....\)

using difference of two squares

\(( \sqrt{a} + \sqrt{b} )(\sqrt{a} - \sqrt{b} ) = a - b\)

we can rewrite the A) to 1×1×1×1.... so the answer would be 1

Answer:

20

Step-by-step explanation:

Answer: 8k^2 - 19k + 12

Step-by-step explanation: The way we found this answer was by simplifying the expression.

Step 1 : We want to get (x-2) in the numerator so we could cross it out with the x-2 at the bottom to get our simplified expression.

(8k^3-19k^2+2k+10)/(k-2) = (x-2)(8k^2-17k+5)/(x-2)

You would need to factor out the (x-2)

Step 2: When you cross the (x-2) above with the (x-2) below you end up with 8K^2-17k+5 as the answer.

Answer:

\(8k^2-3k-4+\frac{2}{k-2}\)

Step-by-step explanation:

⭐ See the image I attached to my answer to see the working.

⭐ I recommend you look at the image while following along with the steps to understand the steps.

1. See what multiplies with the first term in the divisor to get the first term in the dividend. Then, put that answer in the quotient space.

2. Under the first term in the dividend, write a - sign and open parentheses. Put the first term inside the parentheses.

3. Multiply what you put in the quotient space from step #1 with the second term in the divisor.

4. Put the product from step #3 inside of the parentheses.

5. Subtract the first two terms in the parentheses from the first two terms in the dividend.

. . . . . . . . . . . . . note: in polynomial division, you will not always subtract two terms. we are subtracting two terms here because there are two terms in the divisor.

6. Write the answer from #5 under the parentheses, and bring down another term from the dividend.

7. See what multiplies with the first term in the dividend to get the answer from #5. Then, put that answer in the quotient space.

8. Under step #6, write a - sign and open parentheses. Put the answer from #5 inside the parentheses.

9. Multiply the answer from #7 with the second term in the divisor.

10. Next to the answer from step #8, write the product of step #9.

11. Subtract the terms from step #10 from step #6.

12. Repeat until you have "brought down" all of the terms from the dividend.

After you are done, your remainder will not be 0. Instead, it will be +2. When you have a remainder that isn't 0, you cannot use the quotient as your answer. Instead, you have to write your answer in this format:

\(q(x)+\frac{r(x)}{d(x)}\), where q(x) is the quotient, r(x) is the remainder, and d(x) is the divisor.

⇒ q(x) = \(8k^2-3k-4\)

⇒ r(x) = +2

⇒ d(x) = k -2

⇒ \(8k^2-3k-4+\frac{2}{k-2}\)

Answer:

x = 2

Step-by-step explanation:

First, subtract 3 from both sides.

2x + 3 = 7

     - 3    -3

2x       = 4

Then, divide both sides by 2.

2x / 2 = 4 / 2

x = 2

Answer:

the solution for x is x = 2

Step-by-step explanation:

To solve for x, we need to get x by itself on one side of the equation. First, we can subtract 3 from both sides to get:

2x + 3 - 3 = 7 - 3

Simplifying the left side gives us:

2x = 4

Then, we can divide both sides by 2 to get:

2x / 2 = 4 / 2

Simplifying the left side gives us:

x = 2

The value of n from the given statement is 18

Let's begin by translating the given statement into an equation:

Half of a number n plus 15 equals 24.

We can write this as:

0.5n + 15 = 24

To solve for n, we can isolate n on one side of the equation by subtracting 15 from both sides:

0.5n + 15 - 15 = 24 - 15

Simplifying:

0.5n = 9

Finally, we can solve for n by multiplying both sides by 2:

n = 2 x 9

Simplifying:

n = 18

Therefore, the value of the number n is 18.

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Answer:

2.40*39= 93.6

Step-by-step explanation:

Answer:

Total cost of gas is $153.78

Total cost of gas per day is $9.61

Step-by-step explanation:

Divide 2,499 by 39

Multiply that value by $2.40 (gets you total value of gas)

Divide by 16 to get total cost per day

Answer:

\( \sqrt[3]{ {x}^{5} } = {x}^{ \frac{5}{3} } \)

is the right answer.

For the given expression, the variable is p, coefficient is 17 and the exponent is 5.

Expression:

Expression refer the algebraic expression that consists of variables, numbers and math operators.

Given,

Here we have the expression 17p⁵

Now, we have to find the exponent, coefficient and variable.

As per the definition of exponent, the term exponent refers the power value of the expression.

So, the exponent is 5.

And the definition of coefficient is an integer that is written along with a variable or it is multiplied by the variable.

So, the coefficient is 17.

And the variable of this expression is p.

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As per the given data, y = 6 cos (3x - 1) + 3 is the function that has an amplitude that is twice the size and a period that is three times the size of the function.

The given function is y = 3 cos (-1x) + 2.

To find a function with an amplitude twice the size and a period three times the size, we can modify the amplitude and period in the original function.

Amplitude:

The amplitude of the original function is 3. To double the amplitude, we multiply it by 2: 3 * 2 = 6.

Period:

The period of the original function is determined by the coefficient of x, which is -1. To make the period three times larger, we divide the coefficient by 3: -1 / 3 = -1/3.

Putting it all together, we have:

y = 6 cos (3x - 1) + 3

Thus, this function has an amplitude of 6 (twice the size of the original function) and a period of 3 times the size of the original function.

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Answer:

\(Sales \ Tax \ Amount = Net \ Price \cdot \frac{Sales \ Tax \ percentage}{100}\)

\(21.70 = 331.70 \cdot \frac{sales\ tax \ percentage}{100} \\\\\frac{21.70}{331.70} = \frac{sales\ tax \ percentage}{100}\\\\0.0654 = \frac{sales\ tax \ percentage}{100}\)

Sales Tax Percentage  = 0.0654 × 100 = 6.54%

Answer:

The correct option is b) \(P(D|A)=P(A|D)P(D)\).

Step-by-step explanation:

The probability of selecting the different types of tires are:

P (A) = 0.40

P (B) = 0.15

P (C) = 0.45

The defective rate for the different types of tires are:

P (D|A) = 0.02

P (D|B) = 0.01

P (D|C) = 0.05

The formula to compute the probability that the tire is defective given that it is Brand A tire as follows:

\(P(D|A)=P(A|D)P(D)\)

Answer:

Step-by-step explanation:

You worked 4 weeks.

You were paid 200 dollars

200  divided by 4 = weekly wage

200 / 4 = 50

She was paid 50 dollars per week.

The inequality is 30 + 7.5v ≤ 135

The number of visits Emma could make to earn her first free movie ticket is 14

From the question, we are to write and solve an inequality which can be used to determine the number of visits Emma can make to earn her first fee movie ticket

From the given information,

"She receives 30 rewards points just for signing up"

and

"She earns 7.5 points for each visit to the movie theater"

If she visits the movie theater v number of times,

Then,

She would earn

30 + 7.5v points

Also,

She needs at least 135 points for a free movie ticket.

Thus,

The inequality that could be used to determine the number of visits, v, to earn a free movies ticket is

30 + 7.5v ≤ 135

Solving the inequality

30 + 7.5v ≤ 135

Subtract 30 from both sides

30 - 30 + 7.5v ≤ 135 - 30

7.5v ≤ 105

v ≤ 105/7.5

v ≤ 14

Hence, the number of visits Emma could make to earn her first free movie ticket is 14

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