Which of the following is an example of the identity property of 1?

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, the data provides sufficient evidence to conclude that there is a difference in average GPA between the population of sorority students and the population of unaffiliated female students on this university campus.

At the null hypotheses, it is tested if the means are equal, that is, their subtraction is of 0, hence:

\(H_0: \mu_1 - \mu_2 = 0\)

At the alternative hypotheses, it is tested if they are different, hence:

\(H_1: \mu_1 - \mu_2 \neq 0\)

For each sample, they are given as follows:

For the distribution of differences, they are given by:

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{s}\)

In which \(\mu = 0\) is the value tested at the null hypothesis.

Hence:

\(z = \frac{\overline{x} - \mu}{s}\)

z = -0.06/0.0276

z = -2.17.

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the means are different of value, with z = -2.17, it is found that since the p-value of the test is less than 0.05, the data provides sufficient evidence to conclude that there is a difference in average GPA between the population of sorority students and the population of unaffiliated female students on this university campus.

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Answer:6

Step-by-step explanation: I don't really know how to explain this...

Answer:

6

Step-by-step explanation:

hi! absolute value is defined as the number of units away from zero on the number line. distance is always positive, so absolute value is always positive. therefore, the answer is 6 since you just take the negative sign away.

hope this helps!

Answer: 6

Step-by-step explanation: with area you multiply length by width so 11 x 6 is 66

Answer:

D

Step-by-step explanation:

plz tell me if correct!

and PLZ GIVE BRAINLIEST

Answer:

4x

Step-by-step explanation:

Given the expression

4x² - 36x

Get the individual factor of each terms

4x² = 4 * x * x

36x  = 4 * 9 * x

4x² - 36x = 4x(x-9)

From both factors we can see that 4*x is common to them, hence the greatest common factor is 4x

Answer:

\(1/16\)

Step-by-step explanation:

\(\frac{4^{4} }{4^{6} }\)

\(4^{4-6}\)

\(4^{-2}\)

\(\frac{1}{4^{2} }\)

\(\frac{1}{16}\)

Bearing is a topic that deals with angles and distance. Thus, the required answers to the given question are:

i. Distance of 1034.2 miles

ii. Bearing of \(158^{o}\)

The speed of an object is the rate of movement of the object with time.

speed = \(\frac{distance}{time}\)

So that:

distance = speed x time

i. In the given question; let the initial distance covered be represented by d, so that:

d = 250 x 2

  = 500 miles

ii. Let the second distance covered by the pilot be represented by D, so that:

D = 300 x 2

   = 600 miles

iii. Thus let the distance to the starting point be represented by x. From Cosine rule, we have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2abCos C

\(x^{2}\) = \(500^{2}\) + \(600^{2}\) - 2(500 x 600)Cos \(140^{o}\)

   = 250000 + 360000 - 600000(-0,7660)

   = 610000 + 459600

   = 1069600

x = \(\sqrt{1069600}\)

  = 1034.22

x = 1034.2 miles

Using the Sine rule to determine the required internal angle, we have:

\(\frac{a}{Sin A}\) = \(\frac{c}{Sin C}\)

\(\frac{500}{Sin A}\) = \(\frac{1034.22}{Sin 140}\)

Sin A = \(\frac{500*0.6428}{1034.22}\)

         = 0.3108

A = \(Sin^{-1}\) 0.3108

   = 18.11

A = \(18^{o}\)

To determine angle B, we have:

140 + 18 + B = 180 (sum of angles in a triangle)

158 + B = 180

B = 180 - 158

  = 22

B = \(22^{o}\)

Thus, the required bearing is 180 - 22 = 158

Therefore the distance and bearing required to fly to starting point are 1034.2 miles and \(158^{o}\) respectively.

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The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

\(v = \frac{ds}{dt} = 6 sin(2t)\) m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

\(\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3\)

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

Answer:

The first option (1)

Step-by-step explanation:

Because i am always right and i know how to do math :) .

Your welcome

The values of the measures of angle x and angle y in the lines are 15 degrees and 29 degrees

Given that the lines AC and BD are parallel lines

Then we have the following congruent angles

2x + 5 = 35

The angles are congruent because they are corresponding angles

Having mentioned that, we have

2x = 30

Divide by 2

x = 15

Next. we have

5y + 2x + 5 = 180 ---- angle on a straight line

This gives

5y + 2(15) + 5 = 180

When evaluated, we have

5y = 145

Divide by 5

y = 29

Hence, the value of y is 29 degrees

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

The correct answer is: The study is an experiment that uses random assignment to assign volunteers to experimental conditions (treatments).

A sample is an analytic subset of a larger population in statistics. The utilization of samples enables researchers to conduct investigations with more manageable data and more quickly. Randomly chosen samples exhibit little bias if they are large enough, but obtaining such a sample can be costly and time-consuming.

Here,

A study that uses random assignment to assign volunteers to experimental conditions (treatments) is considered the best design to establish cause-and-effect relationships. In this type of study, researchers can control the variables and minimize extraneous factors that could confound the results. By using random assignment, the volunteers in the experimental and control groups are similar on average, making it more likely that any observed differences between the groups are due to the treatments.

The correct answer is: The research is an experiment in which volunteers are randomly assigned to experimental settings (treatments).

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The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

Step-by-step explanation:

Given

Initial point is the value of h at t= 0

The ball was thrown at 15 ft height

Step-by-step explanation:

50-3n

or,50=3n

or,50/3=n

or,n=16.67

Thus,the value of n is 16.67.

The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.

There would be two walls with 10 x 16 dimensions so the area is :

= 2 x 10 x 16

= 320 square feet

Two walls with 20 x 10 dimensions :

= 2 x 20 x 10

= 400 square feet

The total area is :

= 400 + 320

= 720 square feet

One gallon of paint can cover 400 square feet so the number of gallons needed is:

= 720 / 400

= 1. 8 gallons

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Full question is:

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

The given set is (3, 4, 5, ...} is infinite set.

A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.

The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.

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Answer:

d. 3.5 km = 1,000 m / km = 3,500 m

Answer:

1200 * 0.08 * 0.5 =48

Step-by-step explanation:

51x + 23y = 116 ……….. (i)

23x + 51y = 106 ………… (ii)

Subtracting (ii) from (i)

28x – 28y = 10

28(x – y) = 10

⇒ (x – y) = 10/28 = 5/14

The solution of the expression x- y is 5/14.

Given Equation:

Equation 1: 51x + 23y = 116

Equation 2: 23x + 51y = 106

Now, multiply 23 in equation 1 and 51 in equation 2 gives

Equation 3: 1173x + 529y = 2,668

Equation 4: 1173x + 2601 y = 5406

Solving the Equation 1 and (3) gives

2601y - 529y = 5406 - 2668

2072y= 2738

y = 37/28.

Substituting the value of y= 37/28 in Equation 1 gives

51x + 23(37/28)= 116

51 x= 2397/28

x= 47/28

So, the value of x-y

= 47/28 - 37/28

= 10/28

= 5/14

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Answer:

5

Step-by-step explanation:

The solution is, the value of x=4.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

We can modify the Pythagorean Theorem to fit our needs and solve x. We know our c and our a so to find x or b

we use c^2-a^2=b^2.

from the given figure , we get,

Lets input our known.

5^2-3^2=x^2.

Lets start solving by squaring.

25-9=x^2

Subtract

16=x^2

Take the square root

4=x

Hence, The solution is, the value of x=4.

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The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.

Total color = 5 gold + 7 blue + 10 pink

Total color = 22

Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil

Probability (pink) = 10/22

Probability (pink) = 0.45

Therefore the  probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.

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Answer:

(3x+5y)/8

Step-by-step explanation:

The total amount is 150+250=400

We then do (3x+5y)/2 × 1/400

This equals (3x+5y)/800

We multiply that  by 100 giving us the final answer.

The expression that shows the concentration of raisins in the resulting mix is 600x+1000y

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Ariana's 150g bag of trail mix is x% raisins. Brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together in one bowl.

Raisins Ariana have = x% of 150

= 3x/2

Raisins Brandon have = y% of 250

= 5y/2

Total mix = 250 + 150

= 400 grams

Concentration of Raisins in the total mix = (3x/2 + 5y/2) of 400

= 600x+1000y

Hence, the expression that shows the concentration of raisins in the resulting mix is 600x+1000y

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