express the following as percentage 9/20​

Answer:

I'm not sure what you're trying to ask. Is there a total number of kids?

Answer: There are 120 sixth graders.

Step-by-step explanation.

Just multiply 30 times 4

Answer:

2

Step-by-step explanation:

The time Jodie have left to match the record of Mandy is 15.11 seconds

Jodie:

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

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Answer:

I think one minute

Step-by-step explanation:

she can now complete 2 laps in one minute

Answer:

y = 0

Step-by-step explanation:

4(y + 3) - 8 = 2(y + 2) ← distribute parenthesis

4y + 12 - 8 = 2y + 4 , that is

4y + 4 = 2y + 4 ( subtract 2y from both sides )

2y + 4 = 4 ( subtract 4 from both sides )

2y = 0 , then

y = 0

Answer:

1/6

Step-by-step explanation:

1/3 diveded by 2/1

1/3x1/2 = 1/6

Hope it helps:)

I gotchu :)

So, the base equation is: ax+by=c

x int is c/a

y int is c/b

and the slope is -a/b

So basically, what I wrote above is how to get each aspect of the line using the standard form formula.

The "nonzero" part means that each integer (the A, B, AND C in the formula above) cannot be 0, as that would mean that everything will end up equaling to 0, which does not create the line. So basically, the answer would be:

x int is c/a

y int is c/b

and the slope is -a/b

^ if you apply these to any standard form, you will get the thing I stated next to it. For example, if the standard form equation is:

5x+6y=5

if you want to find the slope, you will do -a/b, and that will give you -5/6, which is your slope

Hope this helps :)

On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

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Answer:

The area of the shaded figure is 24 square units.

Step-by-step explanation:

The area of the shaded figure is calculated by calculate the large right triangle first and subtract a small right triangle from the initial figure by definition of area formula of the triangle:

\(A = \frac{1}{2}\cdot (8)\cdot \left(6 + \sqrt{10^{2}-8^{2}}\right) - \frac{1}{2}\cdot (8)\cdot \sqrt{10^{2}-8^{2}}\)

\(A = 24\)

The area of the shaded figure is 24 square units.

False.

While a Pearson correlation coefficient of +1.00 or -1.00 indicates a strong linear relationship between two variables, it does not necessarily mean that all data points will fit perfectly on a straight line. The correlation coefficient measures the strength and direction of the linear relationship, but it does not guarantee that the data points will fall exactly on a straight line.

Scatter plots with a perfect linear relationship will have all data points lying precisely on a straight line, but this is not always the case even when the correlation coefficient is +1.00 or -1.00. There can still be some degree of scatter or variation around the line, depending on other factors such as measurement errors, outliers, or the presence of other nonlinear relationships in the data.

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Answer:760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

Answer:

5,200rs

Step-by-step explanation:

Answer:

0.37

Step-by-step explanation:

please mark me as brainlest

We conclude that the observed data is consistent with Mendel's predicted genetic model.

To test Mendel's genetic model, we can use the chi-square test of independence. The null hypothesis \(($H_0$)\) assumes that the observed data fits the predicted genetic model, while the alternative hypothesis \(($H_a$)\) assumes that there is a significant deviation from the predicted model.

First, we calculate the expected counts for the smooth and wrinkled peas based on Mendel's predicted ratio of 3:1. For the total count of 556 peas \(($423$ smooth + $133$ wrinkled)\), the expected counts would be:

Expected count for smooth peas = \($\left(\frac{3}{4}\right) \times 556 = 417$\)

Expected count for wrinkled peas = \($\left(\frac{1}{4}\right) \times 556 = 139$\)

Next, we set up the chi-square test statistic:

\($\chi^2 = \sum \left[\frac{(Observed \ count - Expected \ count)^2}{Expected \ count}\right]$\)

Plugging in the values, we get:

\($\chi^2 = \frac{(423 - 417)^2}{417} + \frac{(133 - 139)^2}{139}$\)

Calculating the values, we find:

\($\chi^2 = 0.822 + 0.261 = 1.083$\)

Now, we need to compare this test statistic with the critical value from the chi-square distribution with \($(2-1) = 1$\) degree of freedom. Assuming a significance level of 0.05, the critical value is 3.841.

Since \($\chi^2 = 1.083 < 3.841$\), we fail to reject the null hypothesis.

Therefore, we conclude that the observed data is consistent with Mendel's predicted genetic model.

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Answer:

9.5

Step-by-step explanation:

Note the place values:

9 ones place value

.

5 tenths place value

2 hundredths place value.

You are solving for the nearest tenths. To solve, look at the place value directly next (the hundredths place value). If the value of the number is 5 or greater, round up. If it is 4 or less round down.

In this case, it is 2, so you will round down.

9.52 rounded to the nearest tenths is 9.5

~

Answer:

9.5

Step-by-step explanation:

I used Rounding Numbers calculator on calculator soup.

Answer:

x = - 4

Step-by-step explanation:

Given

3 - 2 |0.5x + 1.5 | = 2 ( subtract 3 from both sides )

- 2 |0.5x + 1.5 | = - 1 ( divide both sides by - 2 )

|0.5x + 1.5 | = 0.5

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, thus

0.5x + 1.5 = 0.5 ( subtract 1.5 from both sides )

0.5x = - 1 ( divide both sides by 0.5 )

x = - 2 ← solution Manuela obtained

OR

-(0.5x + 1.5) = 0.5 ← distribute parenthesis on left side by - 1

- 0.5x - 1.5 = 0.5 ( add 1.5 to both sides )

- 0.5x = 2 ( divide both sides by - 0.5 )

x = - 4 ← other solution to the equation

Based on the information given, it can be noted that the solution to the equation will be x = -4.

From the equation given, 0.5x + 1.5 = 0.5

Subtract 1.5 from both sides

0.5x + 1.5 - 1.5 = 0.5 - 1.5

0.5x = - 1

Divide both side by 0.5

0.5x/0.5 = 1/0.5

x = 2

Also, the other solution will be:

-0.5x - 1.5 = 0.5

-0.5x = 0.5 + 1.5

-0.5x = 2

x = 2/-0.5

x = -4.

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Answer:

thats all hope u got it

Step-by-step explanation:

pls do mark be the brainliest.

Answer:

The rate of growth of the population is -400, this means the growth of the population from year 1960 to 1989 has dropped by 400 per city.

Step-by-step explanation:

It is given that in a city's population in the year 1960 was 287500 , and in the year of 1989 the population was 275900 .

It is required to compute the rate of growth of population and make a statement about the population rate of 1989 with the year 1989 and the time taken to change the population.

Step 1 of 1

It is given that in a city's population in the year 1960 was 287500 , and in the year of 1989 the population was 275900 .

To find the rate of growth of population and make a statement about the population rate of change in people per year.

Now let f(x) be the number of population and x be the year and use formula of rate of change to find the change in population,

\($m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$\)

Now substitute, 275900 for \($f\left(x_{2}\right)\), 287500 for  then,

\($$\begin{aligned}m &=\frac{275900-287500}{1989-1960} \\&=\frac{-11600}{29} \\&=-400\end{aligned}$$\)

The rate of growth of population -400, so there is a drop in the population by 400 per city.

Answer:5

Step-by-step explanation:

25 miles divided by 5 days equal the 5 miles

5 times 5 =25

Answer:

-8.

Step-by-step explanation:

There’s a minus near the 8, we change it to -8.

y=-8. Hope this helps.

Function p is a quadratic function. The area of the bell pepper patch is 16 square feet. The maximum possible area of the bell pepper patch is 18 square feet when the length of the tomato patch is 12 feet.

Based on the given information, we are dealing with a quadratic function. Quadratic functions are characterized by a squared term, which results in a curved graph. In this case, the function p represents the relationship between the length of the tomato patch and the area of the bell pepper patch.

When the length of the tomato patch is 8 feet, the corresponding area of the bell pepper patch is 16 square feet. This value is obtained by evaluating the quadratic function at x = 8.

To find the maximum possible area of the bell pepper patch, we need to determine the vertex of the quadratic function. The vertex represents the highest or lowest point on the graph. In this case, the maximum area corresponds to the vertex of the quadratic function.

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Q1: A gold chain bought for Rs.50,000 is sold after two years at a profit of Rs.9,500 . The cost of this chain has increased by 15.8%.

To calculate the increase in the cost of the chain, the percentage increase should be determined which is carried out below. Thus;

The original price of gold chain = Rs. 60,000

The profit made after two years = Rs.9,500

The total amount of money made for selling the chain = 60,000+9500

= Rs. 69500

The increase in cost of chain;

= 9500/60000 × 100/1

= 950000/60000

= 15.8% increase in cost price.

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The angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

We have,

As we can see the attached figure,

Scale factor : Scale Factor is the ratio of size of new image formed to the size of old image and the image obtained is the scaled copy.

i.e.,

Scale factor = \(\frac{Change\ in\ size}{Original\ size}\)

So,

There are two Polygons abcd and pqrs,

And,

Polygon pqrs is the scaled copy of Polygon abcd,

So,

That means both polygons are similar,

so,

Their corresponding angles will be same,

So

We can say that angle corresponds to angle abc is angle pqr.

Hence, we can say that the angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.

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The calculated volume of the solid figure is 64 cubic cm

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

Dimensions = 4 cm by 4 cm by 4 cm

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

Volume = Base area * Height

Substitute the known values in the above equation, so, we have the following representation

Volume = 4 *4 * 4

Evaluate

Volume = 64

Hence, the volume of the solid figure is 64 cubic cm

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We were told that angle AEc and angle DEF are vertical angle.

Answer:

$26.23

Step-by-step explanation:

$4.61 times 3 equals $13.83

and $3.20 times 4 equals $12.8

The statement is true. Roofs with a span of 40 feet or less and a pitch of ? or greater, as well as roofs with a span of more than 40 feet and a pitch of 1/4 or greater, are considered to be pitched.

In roofing terminology, the pitch refers to the steepness or slope of a roof. A pitched roof has a slope that allows water to drain efficiently. The pitch is typically measured as a ratio of vertical rise to horizontal span.

According to the statement, roofs with a span of 40 feet or less and a pitch of ? (undefined or not specified) or greater are considered to be pitched. This means that as long as the roof has a certain degree of slope or steepness, it is categorized as a pitched roof.

Similarly, roofs with a span of more than 40 feet and a pitch of 1/4 or greater are also considered to be pitched. In this case, the requirement for a minimum pitch of 1/4 (or a steeper slope) applies to roofs with a larger span.

The classification of roofs as pitched or not pitched depends on their span and the minimum pitch requirements specified. Roofs that meet the specified criteria for span and pitch are considered to be pitched roofs.

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Answer:

The angle of DGC is 90 degrees

the value of x is positive 8

Step-by-step explanation:

xoxo brooke

The maximum area of the rectangle inside the ellipse is 2ab.

Given that,

Ellipse = x2 / a2 + y2 / b2 = 1

we know the general coordinates of any point in an ellipse of the equation

x2 / a2 + y2 / b2 = 1 is (acosθ,bsinθ)

So, we take general vertices of rectangles as

(acosθ,bsinθ), (acosθ,-bsinθ), (-acosθ,bsinθ), and (-acosθ,-bsinθ)

So, we can see that length and breadth of the rectangle is 2acosθ and 2bsinθ

So, its area will be ab4sinθcosθ (Length x Breadth)

Applying trigonometric formula 2sinθcosθ=sin2θ, let area equals to A

Now A=2absin2θ

Now as the area is the maximum given in the question, we have to differentiate it with respect to θ

dA/dθ=2abcos2θ×2 (using dsin2θ / dθ=2cos2θ)

Equating dA / dθ=2abcos2θ×2=0, it means cos2θ=0 , which means 2θ =  π / 2 and θ=π / 4

So now we to put θ=π / 4 in the equation of area which is A=2absin2θ

We get as A=2absin2π / 4=2absinπ / 2=2ab

Hence the max area of the rectangle inside the ellipse is 2ab.

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Answer:

7.8*10^3

Step-by-step explanation:

7.800