The expression 1 divided 1/4 is given give a real life application to explain this expression and then simplify it​

Answer:5 or 2 units i'm pretty sure it is 5

Step-by-step explanation:

Answer: a

Step-by-step explanation:

The relative frequency of rolling a number greater than 3 is 11/40.

To find the relative frequency of rolling a number greater than 3, we need to first add up the number of times the number cube was rolled and a number greater than 3 was obtained. Looking at the graph, we can see that this number is 15 + 18 = 33.

Next, we need to divide this number by the total number of rolls, which is given as 120 in the graph. So, the relative frequency of rolling a number greater than 3 is:

33/120

This fraction can be simplified by dividing both the numerator and denominator by the greatest common factor, which is 3. So, the final answer is:

11/40
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Answer:

x≤-8

Step-by-step explanation:

When solving 8x-8≤-72, first add 8 to both sides of the inequality.

This leaves you with 8x≤-64.

Divide both sides by 8: 8x/8 and -64/8

This leaves you with x≤-8 as your solution.

To retrieve the 2nd highest salary from the "employee" table, you can use the following SQL query:

```sql

SELECT salary

FROM employee

ORDER BY salary DESC

LIMIT 1 OFFSET 1;

```

This query selects the "salary" column from the "employee" table, sorts the salaries in descending order using the `ORDER BY` clause, and then uses `LIMIT 1 OFFSET 1` to retrieve the second row (which represents the second highest salary).

Note that this assumes the "salary" column contains numerical values representing the employees' salaries. Also, make sure to replace "employee" with the actual name of your employee table in the database.

If you have a separate "employee_position" table that contains the positions of the employees and you need to consider it to retrieve the second highest salary.

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Answer: The radii of atomic nuclei are of the order of 50×10^-15 to the negative 15th power.

The correct option is d. one-sample t-test. The VAR statement in the PROC TTEST step specifies the mean we want to analyze.

The PROC TTEST step is used in SAS software to perform hypothesis testing for means. When only a VAR statement and RUN statement are used in the PROC TTEST step, SAS will perform a one-sample t-test.

In a one-sample t-test, we compare the mean of a single sample to a known or hypothesized value. We use this test when we want to determine whether the sample mean is significantly different from a population mean or a hypothesized value.

For example, if we have a sample of students and we want to determine whether their mean test score is significantly different from a passing score of 70%, we would use a one-sample t-test. The VAR statement in the PROC TTEST step specifies the variable we want to analyze.

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Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

The perimeter of the track is  1, 147. 8m

The perimeter of the diagram is a sum of the circumference of the semi-circle and rectangles.

We have that the width of the rectangle is the diameter of the circle.

To determine the diameter, we have;

Area/150

13500/150

270m

Then, the circumference of the two semicircles makes a circle.

Circumference = πd

substitute the value

Circumference = 3.1 4 × 270

Multiply the values

Circumference = 847.8m

Then, the perimeter of the rectangle is double the length, we have;

150 + 150 = 300m

Total perimeter = 1, 147. 8m

Hence, the value is  1, 147. 8m

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Answer:

Option A

The answer is 9

Step-by-step explanation:

2c + 8 = 26

Subtract 8 from both side we get,

2c + 8 – 8 = 26 – 8

2c = 18

Divide both side by 2 we get,

2c/2 = 18/2

c = 9

Thus, The value of c is 9

z = (x - np) / σ
z = (43 - 100(0.50)) / 0.05
z = -1.4
P(z > -1.4) = 0.9192

a) The number of working women in the sample is 100. The majority of women prefer a better 'work-life balance' to a higher salary, according to a global research study. The majority in percentage is 50% or greater, which implies that 50% of 100 working women or more prefer a better work-life balance to an increased salary. If we assume that the null hypothesis is correct and the number of women who say having a flexible work schedule is important is exactly 50, the standard error for the sample can be calculated as follows:

σ = sqrt(p(1-p)/n)
σ = sqrt(0.50(1-0.50)/100)
σ = 0.05

P(x<50) can be calculated as follows:

z = (x - np) / σ
z = (50 - 100(0.50)) / 0.05
z = -20
P(z < -20) = 0

Therefore, the probability that fewer than 50% of the sample say that having a flexible work schedule is either very important or extremely important to their career success is 0.

b) The proportion of women who said having a flexible work schedule is very important or extremely important to their career success is more than 43%. That implies the number of women in the sample who say having a flexible work schedule is important is greater than 43.

P(x > 43) can be calculated as follows:

z = (x - np) / σ
z = (43 - 100(0.50)) / 0.05
z = -1.4
P(z > -1.4) = 0.9192

Therefore, the probability that more than 43% of the sample says having a flexible work schedule is very important or extremely important to their career success is 0.9192.

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However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.

Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.

Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.

Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.

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Answer:

Step-by-step explanation:

1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.

2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.

5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.

Answer:

4.ADE /// ABC (same <s)

<D = <B (corresponding <s)

<E = <C (corresponding <s)

ADE and ABC share A as the same < so all <s are = (AAA )

Answer:

7.3

Step-by-step explanation:

I think

Answer:

156 divided by 13

Step-by-step explanation:

  156/12 =  13

13 bags

Step-by-step explanation:

slope y2-y1/x2_x1

3-7/9-1

-4/8

-1/2 answer

I think -1/2is the answer

The largest area of the rectangle is 2 square units.

We have a right angled isosceles triangle with hypotenuse 4 units.

so its base will be equal to the perpendicular  , let it be B

So we know ,

B² + P² = H²

2B² = H²

B²  = 16/2

B = 2√2

So base is equal to perpendicular = 2√2 units

Now let consider a rectangle inside the triangle with length 2x and the width y , and the area will become

A = 2xy  ....(1)

we see from the figure the length of the perpendicular AD drawn on the hypotenuse is

BD² + AD² = AB²

AD² = AB² - BD²

      = 8 - 4

AD² = 4

AD = 2 units

Now we see triangle ABD and AEG are similar to each other , So

AD/BD = AG/GE

2/2 = 2-y/x

therefore

x = 2-y

put this value in eqn (1)

A = 2(2-y)y

A = 4y - 2y²

Now to maximize the area we take the derivative of the equation and then put it equal to zero

∴ 4 - 4y = 0

y = 1

∴ x = 2-y = 2-1 = 1 units

So area will be maximum when length and width are 1 units each.

therefore , largest area (A) of the rectangle is  = 2xy = 2 square units.

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Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

a:

Felipe: y = 80x + 510

Melissa: y = 60x + 590

b:

80x + 510 = 60x + 590

(simplifies to x = 4)

Answer:

220 [mm²].

Step-by-step explanation:

all the details are in the attachment, the answer is marked with pink colour.

We have a purchase of $1,300,000.

The downpayment is $150,000 and the rest is financed.

We can calculate the amount that is owed as:

This amount will be paid in equal amounts, monthly for 20 years.

The interest rate is 16% compounded quarterly.

We have to start by converting the interest rate in a monthly-compounded equivalent rate.

A rate of 16% compounded quarterly (m=3) will be equivalent to a monthly rate r. We can calculate r as:

We then can calculate the payments as an annuity with r = 0.013 and 20*12 = 240 payments.

We can calculate the amount he will pay each month as:

Answer: the monthly payment is approximately $15654.45.

The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

it A

Step-by-step explanation:

Answer:

y = - x - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x ← is in slope- intercept form

with slope m = - 1

• Parallel lines have equal slopes , then

y = - x + c ← is the partial equation of the parallel line

to find c substitute (- 8, 2 ) into the partial equation

2 = 8 + c ⇒ c = 2 - 8 = - 6

y = - x - 6 ← equation of parallel line

The x[19] can be expressed in rectangular form as a complex number with real part √(3)/2 and imaginary part -1/2.

The given sequence x[n] is defined as x[n]=a^n u[n], where u[n] is the unit step function that equals 1 for n≥0 and 0 otherwise. The parameter a is given as a=e^(-jπ/6), which is a complex number with magnitude 1 and argument -π/6.

To find x[19], we simply substitute n=19 into the definition of x[n]:

x[19] = a^19 u[19]

Since u[19]=1 and a=e^(-jπ/6), we have:

x[19] = e^(-jπ/6)^19

= e^(-j19π/6)

= cos(-19π/6) + j sin(-19π/6)

= cos(π/6) - j sin(π/6)

= √(3)/2 - j/2

In summary, we first use the given formula to express x[n] as a^n u[n] with a complex parameter a. We then substitute n=19 and simplify the expression using the properties of complex numbers. Finally, we express the answer in rectangular format as a + jb.

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Answer:

Factor and set each factor equal to zero.

x=7,−4

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

If you look at $10 we are at 10 animals, but if you look at $100, we are at about 55 animals. Divide the two to find your average. That will give you the answer.

Answer:

If you look at $10 we are at 10 animals, but if you look at $100, we are at about 55 animals. Divide the two to find your average. That will give you the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

p=  a/3  -  1/3