g There are students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out the following tasks: line leader, wipe down the tables, pass out papers, water the plants

27/20000 is  the rate as a fraction in simplest form.

In math, what is a fraction?

Which fraction types are there?

270 robberies per 200,000 residents in fraction form = 270/200000

                                                                                          = 27/20000

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Work Shown:

For each store, divide the cost over the size to get the unit price.

Round each result to the nearest penny. We see that Eat Right Grocery has the lowest unit price, or price per pound.

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Further explanation:

Let's look at the first row of the table. This says that 2 pounds of rice cost 2.32 dollars. We can form an equation of sorts

2 pounds = 2.32 dollars

Divide both sides by 2 to turn that "2 pounds" into "1 pound". This is because "price per pound" really means "price per 1 pound" or "price for each 1 pound"

So we get

2 pounds = 2.32 dollars

2/2 pounds = 2.32/2 dollars

1 pound = 1.16 dollars

Telling us the unit cost for Eat Right Grocery is $1.16 per pound. The other stores unit prices are calculated the same way.

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: \(H_{0} = 3\)

Alternate: \(H_{a} = 3\)

The test-statistic is given by:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that \(n = 100\)

3 tested at the null hypothesis

This means that \(\mu = 3\)

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that \(X = 3.1\)

The population standard deviation is known at 0.5 minutes.

This means that \(\sigma = 0.5\)

Value of the test-statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}\)

\(z = 2\)

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

Answer:9

Step-by-step explanation:

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Answer:

16 weeks

Step-by-step explanation:

161+27x>580

solve for x

27x>580-161

27x>419

x=419/27

x=15.52

the smallest number of weeks is 16.

Answer:

1

11111222223333334444554444667899ppojhgbsicudjejviwoiri3iw

Answer:

4

Step-by-step explanation:

\(\frac{sin 30}{1+cos 30} +\frac{1+cos 30}{sin 30} \\=\frac{sin 30(1-cos30)}{(1+cos30)(1-cos30)} +\frac{1+cos30}{sin 30} \\=\frac{sin30(1-cos30)}{1-cos^230 } +\frac{1+cos30}{sin 30} \\=\frac{sin 30(1-cos30)}{sin^2 30} +\frac{1+cos30}{sin30} \\=\frac{1-cos30}{sin30 } +\frac{1+cos30}{sin30} \\=\frac{1-cos30+1+cos 30}{sin 30} \\=\frac{2}{sin 30} \\=\frac{2}{\frac{1}{2} } \\=4\)

The transformation rule is; move the function f(x) by 4 units downwards and then by 2 units to the left.

Transformations simply takes the basic function and transforms it to another function.

The rules of transformation are;

The point on f(x) given has the coordinate (7, 5).

Now, we want to transform the point on f(x) to a point on g(x) with the coordinate (5, 1).

Thus, to get this, the transformation rule is;

(x, y) = (x - 2, y - 4)

Thus, this means move the function 4 units downwards and then by 2 units to the left.

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Answer:

1  1/5

Step-by-step explanation:

1 and 1 fifth as a fraction.

Answer:

5 is 1

6 is 2/3

7 is 2/3

8 is 2

Answer:

hmmmmm i need more details <3

Answer:

m<8=1024

Step-by-step explanation:

Since they are asking for m<8, we do 128*8=1024.

Answer: 42v-59

Step-by-step explanation:

Combine like terms

29v- -13v= 42v

The negative sign turns 59 into -59

The value of the equation is A = 42v - 59

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 29v ) - ( -13v + 59 )   be equation (1)

On simplifying the equation , we get

A = 29v - ( -13v ) - 59

On further simplification , we get

A = 29v + 13v - 59

The value of A = 42v - 59

Therefore , the value of A is 42v - 59

Hence , the equation is A = 42v - 59

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The circumference of a circle with a 4 in radius is B) 8π.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, One of a tree's rings has a diameter of 8 in.

We know the radius(r) is half of the diameter.

∴ Radius = (8/2) = 4 in.

Now, the circumference of a circle with a 4 in radius is 2π×4 = 8π.

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Answer: The circumference of the tree's ring is 8

Step-by-step explanation:

I got it right on i-ready

Answer:

The tenth place

Step-by-step explanation:

Answer:

Angle A = 47⁰

Step-by-step explanation:

Angle A = Angle B { equal sides have equal angles. }

so,

4x + 7 = 5x - 3

7 + 3 = 5x - 4x

10 = x

so Angle A = 4x + 7 = 4(10) + 7 = 40 + 7 = 47⁰

Answer:

9×5=(5×5)+(4×5)

Step-by-step explanation:

9×5=(5×5)+(4×5)

25+25

45Answer.

Answer:

Step-by-step explanation:

(3x3)+(2.5x2)=(39+6)

Answer:

Sydney's Age is 6

Step-by-step explanation:

6 x 2 = 12

12 + 6 = 18

Answer:

Sydney is 6

Step-by-step explanation:

You get this by dividing 18 by three, as one set of 6 is Sydney while tcice that is her brother.

Step-by-step explanation:

7x+5-2x^2+8x+6

-2x^2+15x+11

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36. Therefore, option A is the correct answer.

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.

The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²

The standard form for finding the equation of a circle is expressed as;

(x-a)²+ (y-b)² =r²

Where; (a, b) is the center of the circle and r is the radius of the circle

Given that, diameter = 12 units

So, radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have (x-0)² + (y-3)² = 6² equivalent to x²+ (y-3)² = 36

Therefore, option A is the correct answer.

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The slope of the line is 2.

The slope is going up from left to right, so it'll be positive to start with. From there you have to do rise over run. That is pretty much how many units up and in towards the slope do you have to go until you find 2 points that are in the center of the line. In this case, the rise over run is 2/1 which equals 2.

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Answer:

The probability is \(P(|\^ p - p | < 0.03) = 0.87224\)

Step-by-step explanation:

From the question we are told that

  The population proportion is  p =  0.55

   The sample size is  n  =  639

Generally the standard deviation of this sampling distribution is mathematically represented as

        \(\sigma = \sqrt{\frac{p(1 -p)}{n} }\)

=>     \(\sigma = \sqrt{\frac{0.55 ( 1 -0.55)}{639 } }\)

=>     \(\sigma = 0.0197\)

Generally the probability that the proportion of persons with a retirement account will differ from the population proportion by less than 3% is mathematically evaluated as

       \(P(|\^ p - p | < 0.03) = P( \frac{|\^ p - p |}{\sigma } < \frac{0.03}{0.0197} )\)

\(\frac{|\^ p-p|}{\sigma }  =  |Z| (The  \ standardized \  value\  of  \ |\^ p - p|)\)

       \(P(|\^ p - p | < 0.03) = P( {|Z| < 1.523 )\)

=>    \(P(|\^ p - p | < 0.03) = P( -1.523 \le Z \le 1.523 )\)

=>    \(P(|\^ p - p | < 0.03) = P( Z \le 1.523) - P( Z \le -1.523 )\)

From the z table the area under the normal curve to the left corresponding to -1.523 is

         \(P(Z \le -1.523 ) = 0.063879\)

From the z table the area under the normal curve to the left corresponding to  1.523 is

        \(P(Z \le 1.523 ) = 0.93612\)

\(P(|\^ p - p | < 0.03) = 0.93612 - 0.063879\)

\(P(|\^ p - p | < 0.03) = 0.87224\)

Answer:

Answer 1008

Step-by-step explanation:

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

A) 81 sq units

Step-by-step explanation:

Area of a trapezoid = one-half of height multiplied by the sum of the bases (the bases are the parallel sides)

the problem gives us all the values we need:

height = 9

smaller base is 'x' which is 7

larger bases is 2y+x which is 2(2)+7 = 11

A = 1/2·(9)(7+11)

= 1/2·9·18

= 9·9 which is 81 sq units

Answer:

The probability that one marble drawn at random is not blue is 70%

Answer:

Step-by-step explanation:

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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