can you slove my question

7) (a) The number of students who took the exam is 33.

(b) Number of students who scored at least 71 is 26.

(c) The highest grade is 100.

8) (a) Number of movies grossed at least $141 million is 8.

(b) Number of movies grossed between $61 million and $180 million is

(c) Number of movies grossed between $121 and $140 million is

7) Given a histogram which shows the algebra test scores of some students.

(a) Number of students who took the exam is the sum of the number of students who got the given interval scores.

Number of students = 2 + 5 + 8 + 12 + 6 = 33

(b) Number of students who scored at least 71 is the number of students who scored 71 or more.

Number of students = 8 + 12 + 6 = 26

(c) Highest grade from the histogram = 100.

8) Given a histogram of 25 top grossing movies.

Number of movies grossed at least $141 million = 5 + 1 + 2 = 8

(b) Number of movies grossed between $61 million and $180 million = 4 + 10 + 5 = 19

(c) Number of movies grossed between $101 and $140 million = 10

Number of movies grossed between $121 and $140 million is less than 10.

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Answer:

Let's denote:

- the amount of money Helen Weller needs to invest in the account that pays 15% interest as x,

- the total amount of money in both accounts as y = $10,000 + x.

According to the problem, the total interest from the two investments should be equal to the interest from a single investment at a 13% rate. This translates to the following equation:

(12% * $10,000) + (15% * x) = 13% * y.

Substituting y = $10,000 + x into the equation gives us:

(12% * $10,000) + (15% * x) = 13% * ($10,000 + x).

Now we can solve this equation to find the value of x.

Let's convert all percentages to decimals (12% = 0.12, 15% = 0.15, 13% = 0.13) and solve for x:

0.12 * $10,000 + 0.15x = 0.13 * ($10,000 + x),

$1,200 + 0.15x = $1,300 + 0.13x,

0.02x = $100,

x = $100 / 0.02,

x = $5,000.

Therefore, Helen Weller needs to invest an additional $5,000 in the account that pays 15% interest to ensure the total interest from both investments is equal to a single investment at a 13% rate.

Answer:

3/8 or 3:8

Step-by-step explanation:

pink : not pink

6 : 16

Think of it as a fraction. Simplify it in the same way.

6/16 simplifies to 3/8

So the pink:notpink ratio is 3/8 or 3:8

Answer:

10,428ft³

Step-by-step explanation:

To work out the volume of a cylinder, we need to use the equation 3.14 x r² x h, where r stands for the radius and h stands for the height.

Hope this helps :)

Answer:

Step-by-step explanation:

A box-and-whisker plot, also known as a box plot, is a data visualization technique used to summarize and display the distribution of a set of values.

The five-number summary, which includes the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value, is used to create the box plot. In this case, we are comparing the data for two cities, Greenville and Oaktown.

The five-number summary for each city is provided in the question: Greenville: minimum = 1 Q1 = 8 median = 12 Q3 = 16 maximum = 22 Oaktown: minimum = 2 Q1 = 6 median = 8 Q3 = 9 maximum = 15 To construct a box-and-whisker plot for each city on the same number line, we will use the following steps:

1. Draw a number line with the minimum and maximum values for both cities.

2. Draw a vertical line at the first quartile (Q1) for both cities.

3. Draw a box from Q1 to Q3 for both cities.

4. Draw a vertical line at the third quartile (Q3) for both cities.

5. Draw whiskers from the box to the minimum and maximum values for both cities.

6. Label each box-and-whisker plot with the name of the corresponding city. The resulting box-and-whisker plot for Greenville and Oaktown on the same number line is shown below:

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Answer:

see explanation

Step-by-step explanation:

In the equation with variable ( a + 2x ), 2x represents the total thickness fo the frame ( on both sides ) and a means the base thickness of the photograph. So 8 and 10.

Answer:

To solve for v, we will isolate v on one side of the inequality symbol.

7v/4 + 6 > -2

Subtract 6 from both sides:

7v/4 > -8

Multiply both sides by 4/7:

v > -32/7

So the solution for the inequality is v > -32/7.

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

Quadrilateral

Step-by-step explanation:

A square is a two-dimensional plane figure with four equal sides, four interior right angles, and four corners.

The measure of cos FHE is calculated as 8/√73.

The measure of cos FHE is calculated by applying the following formulas as follows;

The hypothenuse side of triangle FHG is calculated as follows;

sin 45 = √8 / h

√2/2 = √8/h

h = √8 x 2/√2

h = 2√8/√2

h = √16

h = 8

The hypothenuse side of triangle FHE is calculated as;

d = √ (8² + 3² )

d = √73

The value of cos FHE is calculated as follows;

cos FHE = 8/√73

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The equivalent expression to the one given is 7/12 + 4/6q

Given the expression :

11/12 - 1/6q + 5/6q - 1/3

Collecting like terms

11/12 - 1/3 - 1/6q + 5/6q

Evaluating 11/12 and 1/3

L.C.M of denominator = 12

11/12 - 1/3 = (11 - 4) / 12 = 7/12

Evaluating - 1/6q + 5/6q

L.C.M of denominator = 6

- 1/6q + 5/6q = (-1 + 5)q/6 = 4/6q

Combining the expressions :

7/12 + 4/6q

Therefore, the equivalent expression is 7/12 + 4/6q

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Answer:

last year, there were c pies baked for the bake sale. This year, there were 157 pies baked. Using c, write an expression for the total number of pies baked in the two years

Step-by-step explanation:

Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

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The division of ([tex]10m^8 + 4m^6 + 10m^5[/tex]) by [tex]2m^2[/tex] is equal to [tex]5m^6[/tex] + [tex]2m^4[/tex] + [tex]5m^3[/tex].

To divide (10m² + [tex]4m^6 + 10m^5[/tex]) by [tex]2m^2[/tex], we divide each term of the numerator by 2m² separately.

Dividing [tex]10m^8[/tex] by 2m²:

[tex]10m^8[/tex] ÷ 2m² = [tex]5m^{(8-2[/tex]) = [tex]5m^6[/tex]

Dividing [tex]4m^6[/tex] by 2m²:

[tex]4m^6[/tex] ÷ 2m²= [tex]2m^{(6-2)[/tex] = [tex]2m^4[/tex]

Dividing[tex]10m^5[/tex] by 2m²:

[tex]10m^5[/tex] ÷ 2m² = [tex]5m^{(5-2)[/tex] =[tex]5m^3[/tex]

Therefore, the final answer is [tex]5m^6 + 2m^4 + 5m^3.[/tex]

First, we divide [tex]10m^8[/tex] by [tex]2m^2[/tex]. Dividing the coefficients, 10 ÷ 2 equals 5. For the exponents, subtract the exponent of the divisor (2) from the exponent of the dividend (8), which gives us 8 - 2 = 6. Therefore, 1[tex]0m^8[/tex] ÷ [tex]2m^2[/tex] equals [tex]5m^6[/tex].

Next, we divide [tex]4m^6[/tex] by [tex]2m^2[/tex]. Dividing the coefficients, 4 ÷ 2 equals 2. Subtracting the exponents, 6 - 2 equals 4. So, [tex]4m^6[/tex] ÷ [tex]2m^2[/tex] simplifies to [tex]2m^4[/tex].

Finally, we divide [tex]10m^5[/tex] by [tex]2m^2[/tex]. Dividing the coefficients, 10 ÷ 2 equals 5. Subtracting the exponents, 5 - 2 equals 3. Therefore, [tex]10m^5[/tex] ÷[tex]2m^2[/tex] becomes [tex]5m^3[/tex].

Combining the simplified terms, we have [tex]5m^6 + 2m^4 + 5m^3[/tex] as the final answer after dividing the given expression by [tex]2m^2[/tex].

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a. The probability that a yellow disk will be selected is 1 out of 5.

b. It is **likely** that a yellow disk will be randomly selected from the bag.

a. The probability that a yellow disk will be selected can be calculated by;

P = 5 / 25

P = 1/5

The probability of randomly selecting a yellow disk is calculated by dividing the number of yellow disks by the total number of disks. In this case, there are 5 yellow disks and 25 total disks, so the probability is 5/25 = 1/5. This means that there is a 20% chance of randomly selecting a yellow disk.

b. The likelihood of randomly selecting a yellow disk is described as "likely" because the probability is greater than 1/10. A probability of 1/10 or less is considered "unlikely", while a probability of greater than 1/10 is considered "likely".

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The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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To satisfy the given conditions, the numbers written in the spinner sections, in clockwise order, would be: 1, 2, 5, 10, 25. The largest number, 50, would be written in the remaining section.

To write different factors of 50 in each section of the spinner, we need to find all the factors of 50 and assign them in increasing order as we go clockwise around the circle.

The factors of 50 are: 1, 2, 5, 10, 25, and 50.

To ensure that the numbers are different and satisfy the given conditions, we can assign them as follows:

Starting from the sector with the arrow (smallest number):

Assign the smallest factor, which is 1.

Moving clockwise:

2. Assign the next smallest factor, which is 2.

Assign the next smallest factor, which is 5.

Assign the next smallest factor, which is 10.

Assign the next smallest factor, which is 25.

Finally, assign the largest factor, which is 50, in the remaining section.

The numbers in each section, going clockwise around the spinner, would be:

1, 2, 5, 10, 25, and 50.

This arrangement ensures that all the numbers are different factors of 50, and they increase in size as we go clockwise around the circle.

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The probability that the next blog started will be about pop culture is approximately 0.0556. Experimental probability is the probability that is obtained by conducting experiments. Experimental probability is based on how many times an event occurs compared to the number of trials or experiments conducted.

The group of students in a communications course is required to start a blog on a topic of their choice, and many have already begun blogging.

The number of blogs is given below:Pop culture = 5Literature = 1Business = 84The total number of blogs started by the students is 90.The experimental probability that the next blog started will be about pop culture can be calculated by the following formula:Experimental probability = Number of times the event occurs / Total number of trials or experimentsLet E be the event that the next blog started will be about pop culture.

Then the number of times the event occurs is 5.So the experimental probability that the next blog started will be about pop culture is given by:Experimental probability = 5/90 = 1/18The experimental probability that the next blog started will be about pop culture is 1/18 or 0.0556 (rounded to four decimal places).

Therefore, the probability that the next blog started will be about pop culture is approximately 0.0556.

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100% of the data values are less than 90 considering the box and whisker plot.

A box and whisker plots shows these five metrics from a data-set, listed and explained as follows:

From the image given at the end of the answer, 90 is the maximum value of the box plot, hence 100% of the values are less than 90.

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el hombre tenía 50 acciones.

La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,

se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,

podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.

Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.

Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.

Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.

Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,

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Answer:

Step-by-step explanation:

1 = C (you already have this one)

2 = D

3 = A

4 = E

5 = B

The answers on the right have arrows above them. Match those arrows to how they appear on the lines on the left. Once you have done that, you can guess and check your way through the rest. #4 only has one point so that would match up with E, which also only has one point. #2 had three points, so D would make the most since as it has three different letters. Hope this helps

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer: false

Step-by-step explanation: 5^3 =125.     3^5 =243

Answer:

False

Step-by-step explanation:

5^3 =125

3^5=243

Answer: C = 36

Step-by-step explanation: 36 divided by 4 minus 5 = 4 so 36 is C

Hope it helped :D

The difference of 9 and b can be expressed algebraically as "9 - b."

In this expression, 9 is the minuend, which is the number from which we are subtracting, and b is the subtrahend, which is the number being subtracted.

When we subtract b from 9, we are finding the result of taking away b units from 9. This expression represents the numerical difference between 9 and b.

For example, if b = 5, then the expression "9 - b" evaluates to 9 - 5 = 4. It means that the difference between 9 and 5 is 4.

In general, the algebraic expression "9 - b" represents the result of subtracting the value of b from 9, where b can be any real number.

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The volume of the Kibo laboratory on the ISS is larger than the volumes of both the Destiny and Columbus modules.

To calculate the volume of a cylinder, we use the formula:

Volume = πr²h

Kibo:

Radius (r) = 2.2 meters

Height (h) = 11.2 meters

Volume of Kibo

= π x 2.2² x 11.2

≈ 3.14159 x 4.84 x 11.2

≈ 170.993 cubic meters

Destiny:

Radius (r) ≈ 4.3 / 2 = 2.15 meters

Height (h) = 8.5 meters

Volume of Destiny

= π x (2.15)² x 8.5

≈ 3.14159 x 4.6225 x 8.5

≈ 122.808 cubic meters

Columbus:

Radius (r) ≈ 4.5 / 2 = 2.25 meters

Height (h) = 6.9 meters

Volume of Columbus

= π x (2.25)² x 6.9

≈ 3.14159 x  5.0625 x 6.9

≈ 107.038 cubic meters

Therefore, the volume of the Kibo laboratory on the ISS is larger than the volumes of both the Destiny and Columbus modules.

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Step-by-step explanation:

Put '5' into the equation where 'n' is

a5 = 26 - 6(5) = - 4

Answer:

  (b)  mean 69.09, median 70, mode 70

Step-by-step explanation:

You want the mean, median, and mode of the given distribution of test scores.

The mode is the score that has the greatest frequency. That score is 70, with a frequency of 10. (Eliminates choices A and C.)

The mode is 70.

There area a total of 2+3+10+5+2 = 22 test scores, so the median will be the average of the 11th and 12th scores. Both of these are 70, so the median is 70.

There are more scores below 70 (7) than above 70 (5), so the mean is less than 70. (Eliminates choice D.)

The test score statistics are ...

  mean = 69.09; median = 70; mode = 70 . . . . . matches choice B

__

Additional comment

For the purpose of this problem, we do not need to find the exact mean, but it is not difficult to do so. The distribution is symmetrical about 70 but for the fact that there are 2 unbalanced scores of 60. This tells you the mean will be below 70. The amount below can be computed like this:

  (20·70 +2·60)/22 = (22·70 +2(70 -10))/22

  = 70 -20/22 = 70 -0.91 = 69.09 . . . . mean of the data set

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