Identify the model that shows 4 items being divided equally among 3 people. How much will each person have?

Answer: B

Step-by-step explanation:

Answer:

it would just be 6

Step-by-step explanation:

base and lenght are the same thing

Answer:

tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885

Answer:

the answer is 2.38

Step-by-step explanation:

Answer:

2 7/18 if you need it in fraction form.

Answer:the best predicted value of ý when the twin born first has an IQ of 109 is 107.50

Step-by-step explanation:

Given the regression equation:

ŷ = -2.59 + 1.01x

We need to predict the value of ý when x (IQ score of the twin born first) is 109.

So we substitute x = 109 into the regression equation:

ŷ = -2.59 + 1.01(109)

ŷ = -2.59 + 110.09

ŷ = 107.50

Therefore, the best predicted value of ý when the twin born first has an IQ of 109 is 107.50.

Answer:

Step-by-step explanation:

Distance = speed * time

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Speed = 12 mph

Time = 1 1/2 hour = 1.5 hour

She can travel 18 miles in 1 1/2 hours

The value of cos(θ), is 0.280

The value of tan(θ), is 3.429.

The value of sec(θ), is 3.571.

We can use the Pythagorean identity: sin²(θ) + cos²(θ) = 1 to find the value of cos(θ):

cos²(θ) = 1 - sin²(θ)

cos²(θ) = 1 - (24/25)²

cos²(θ) = 1 - 576/625

cos²(θ) = 49/625

Since 0 ≤ θ ≤ π/2, we know that cos(θ) is positive. Therefore:

cos(θ) = √(49/625)

cos(θ) = 7/25

cos(θ) ≈ 0.280

To find the value of tan(θ), we can use the relationship:

tan(θ) = sin(θ) / cos(θ)

tan(θ) = (24/25) / (7/25)

tan(θ) = 24/7

tan(θ) ≈ 3.429

Finally, to find the value of sec(θ), we can use the relationship:

sec(θ) = 1 / cos(θ)

sec(θ) = 1 / (7/25)

sec(θ) = 25/7

sec(θ) ≈ 3.571

Therefore, rounding to three decimal places:

cos(θ) ≈ 0.280

tan(θ) ≈ 3.429

sec(θ) ≈ 3.571

Learn more about Pythagorean identity here: https://brainly.com/question/24287773

#SPJ1

Answer:

66.6% (see below)

Step-by-step explanation:

Each sphere 4/3\(\pi\)r²=4/3\(\pi\)(4²)=268.08cm³

Assuming the tube is the same width and height as the three spheres,

V=\(\pi\)r²h=\(\pi\)(4²)24=1206.37

The three spheres are 268.08*3=804.24cm³

The tube is 1206.37cm³

I’m not sure if your question is asking the percentage of the tube that’s filled, or the percentage that’s unfilled.

Filled: 804.24÷1206.37=0.66666=66.6%

Unfilled: 1206.37-804.24=402.13

402.13÷106.37=0.33333=33.3%

Answer:

Percentage of Tube Unfilled : 33 and 1/3%

Step-by-step explanation:

It's most likely that we want to calculate the percentage of the tube unfilled, as the tube itself wouldn't be provided otherwise. We can start by calculating the volume of the tube --- (1)

The volume of a cylinder is represented by πr²h. Substituting we would receive π(4)²h. h is represented by 3 times the diameter of each sphere, as it is aligned such. Diameter = 2 * r = 2 * 4 = 8, so h = 3 * 8 = 24. Therefore Tube Volume = π(4)²(24) = π(16)(24) = 384π.

Now let's solve for the volume of a sphere, multiplying by three to receive the total volume of all 3 spheres --- (2)

Volume of 1 Sphere : 4 / 3πr³ = 4 / 3π(4)³ = 4 / 3π * 64 = 256 / 3π

Volume of all 3 Spheres : 256 / 3π * 3 = 256π

And now the volume of the tube that is unfilled, will be 384π - 256π = 128π. The total volume of the tube is 384π, so the percentage of the unfilled tube will be 128π / 384π or 128 / 384 = 0.333333333 * 100 = 33.33333...%. Therefore the percentage of the tube that is not filled will be 33.33% approximately, or 33 and 1/3% in exact terms.

The monthly payment for the four wheeler from Bank A would be = $261 and from Bank B would be =$268.9

The reason why someone should chose bank A over bank B is that the monthly interest payment is lower than bank B.

Simple interest is defined as the amount of money that an individual receives due to an investment my in account for a period of time.

For bank A;

The principal amount = $5400

The rate of the investment= 8%

The time for the investment = 2 years.

Simple interest = 5400× 8×2/100

= 86400/100

= $864

The total amount = 5400 + 864 = $6264

The monthly payment for the 2years (that is, 24 months) =

6264/24 = $261.

For bank B;

The principal amount = $5400

The rate of the investment= 6.5%

The time for the investment = 3 years.

Simple interest = 5400× 6.5×3/100

= 105300/100

= $1,053

The total amount = 5400 + 1,053 = $6,453

The monthly payment for the 3years (that is, 36 months) =

6,453/24 = $268.9.

Since, the monthly interest payment for bank A is less than bank B, it will be wiser for an individual to choose bank A.

Learn more about simple interest here:

https://brainly.com/question/25793394

#SPJ1

Answer:

x= 101

Step-by-step explanation:

Exterior angle of triangle states that the exterior angle of a triangle is the sum of the 2 opposite interior angles. This is abbreviated as 'ext. ∠ of ∆'. Thus using the exterior angle theorem,

x°= 64° +37° (ext. ∠ of ∆)

x°= 101°

x= 101

_____

Alternative method:

Let the third angle in the triangle be y°.

Since the sum of the angles in a triangle is 180°,

y° +64° +37°= 180° (∠ sum of ∆)

Simplify:

y° +101°= 180°

y°= 180° -101°

y°= 79°

The sum of the angles on a straight line is 180°.

x° +y°= 180° (adj. ∠s on a str. line)

Substitute y°= 79°:

x° +79°= 180°

x°= 180° -79°

x°= 101°

x= 101

Answer:

\(\Large \boxed{\frac{35}{6} }\)

Step-by-step explanation:

\(\displaystyle \frac{700}{120}\)

Reduce and simplify the fraction to lowest terms.

\(\displaystyle \frac{20(35)}{20(6)}\)

\(\displaystyle \frac{35}{6}\)

Answer:

(x-2)(x+2)

Step-by-step explanation:

use the difference of squares

x²-4 = x²-2² = (x-2)(x+2)

As the level of significance increases, the probability of making a type II error decreases.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

If the level of significance of a hypothesis test is raised from 0.05 to 0.1, the probability of a type II error will decrease.

Type II error occurs when we fail to reject a null hypothesis that is actually false. It is the probability of accepting a false null hypothesis. By increasing the level of significance, we are making it easier to reject the null hypothesis, which in turn decreases the probability of accepting a false null hypothesis.

Hence, as the level of significance increases, the probability of making a type II error decreases.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ4

The probability of number of 1-2 Children in car and 3 plus children in car is 0.203.

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.

The probability of P(1-2 children| car). P (3 plus children| car) is given by:

P = 63/88 × 25/88

P=0.203

The probability of P(Bus| 1-2 children). P (Bus | 3 plus children) is given by:

P = 38/101 × 49/74

P=0.249

The probability of P(Car |1-2 Children) is given by:

P= 63/101

P=0.624

The probability of P(3 plus children | Bus)is given by:

P=49/87

P=0.563

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

Answer: The picture below

Step-by-step explanation: Correct on Edmentum, if you give me a low rating than you are mean :(

Answer:

15

Step-by-step explanation:

Recent research has confirmed the Spillover Hypothesis by demonstrating a favourable association between life and job happiness.

According to the spillover hypothesis, behaviour or affect in a family system might flow immediately from one place or connection to another. Transfer takes place in the same valence, which means that one subsystem's negative affect is connected to another's negative affect, or stress at work spills over and intensifies stress at home. The compensatory hypothesis offers a different perspective by arguing that transfer between family subsystems occurs in the opposite valence, leading a person to seek fulfilment in one relationship or environment in order to make up for shortages in another.

Learn more about hypothesis here

https://brainly.com/question/18173488

#SPJ4

Answer: The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²

Step-by-step explanation:

Surface area = 2(wl + hl + hw).

Volume = Length x Width x Height

Given the following:

Volume = 476.16 in.³

Length = 4.8 in.

Width = 8 in.

Find the height (h) using the volume formula:

476.16 = 4.8 × 8 × h

476.16 = 38.4 × h

476.16/38.4 = h

h = 12.4 in.

Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²

The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²

The total solution to the given differential equation, y(t) + 2Dy(t) + 10y(t) = 4, with initial conditions y(0) = 0 and Dy(0) = -1, can be determined using the Laplace transform method.

The solution involves finding the Laplace transform of the differential equation, solving for the Laplace transform of y(t), and then applying the inverse Laplace transform to obtain the solution in the time domain.

To solve the given differential equation using the Laplace transform method, we first take the Laplace transform of both sides of the equation. Applying the linearity property and the derivative property of the Laplace transform, we get the transformed equation: [sY(s) - y(0)] + 2sY(s) + 10Y(s) = 4/s,

where Y(s) represents the Laplace transform of y(t) and y(0) is the initial condition. Rearranging the equation, we find:

Y(s) = (4 + y(0) + s) / (s^2 + 2s + 10).

Next, we need to find the inverse Laplace transform of Y(s) to obtain the solution y(t). We can do this by recognizing the denominator of Y(s) as the characteristic equation of the homogeneous equation associated with the given differential equation.

The roots of this characteristic equation are complex conjugates, given by -1 ± 3i. Since the roots have negative real parts, the inverse Laplace transform of Y(s) involves exponential terms multiplied by sinusoidal functions.

After some algebraic manipulation, we can express the solution in the time domain as: y(t) = (2/3)e^(-t)sin(3t) - (4/3)e^(-t)cos(3t).

Therefore, the total solution to the given differential equation, subject to the initial conditions y(0) = 0 and Dy(0) = -1, is given by the above expression.

To learn more about differential click here:

brainly.com/question/31383100

#SPJ11

Answer:

Standard deviation = 5.1

Mean = 13

Median = 14

Step-by-step explanation:

The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

The mean of a set of numbers is the sum divided by the number of terms.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

The closest answer to the p-value for this result is 0.0124.The p-value for this result, we need to first calculate the test statistic. Since we are testing a proportion, we will use the z-test.

The formula for the z-test is:
z = (p - P) / sqrt(P * (1 - P) / n)
where p is the sample proportion, P is the hypothesized population proportion, n is the sample size, and sqrt is the square root function. In this case, our sample size is n = 120, and our hypothesized population proportion is P = 0.85. Our sample proportion is p = 94/120 = 0.783.

Plugging in these values, we get:
z = (0.783 - 0.85) / sqrt(0.85 * 0.15 / 120) = -2.24
The p-value, we need to look up the area to the left of this value on the standard normal distribution. Using a table or calculator, we can find that this area is approximately 0.0124.

Toknow more aboutstatistic visit:-

https://brainly.com/question/28486320

#SPJ11

Given :

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

To Find :

The comparison ( ratio )  her volunteers rate with the challenge rate .

Solution :

Simplifying challenge rate in in normal fraction , \(1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2}\) .

Also , simplifying her rate , \(6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4}\) .

Now , ratio of his work by challenge is :

\(R=\dfrac{\dfrac{27}{4}}{\dfrac{3}{2}}\\\\\\R=\dfrac{27\times 2}{4\times 3}\\\\R=\dfrac{9}{2}\)

Therefore , the ratio is 9/2 or 4 1/2 .

Hence , this is the required solution .

Autumn volunteered 3/4 hours per week more than the least hours per week of volunteering.

Given that,
Autumn school holding a valeting challenge. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volunteers about the same amount each week. During a 3- week period she volunteers for 6 3/4 hours.

Rate of change is defined as the change in value with respect to time is called rate of change.

Here,
Autumn wants to compare her volunteer rate with the challenge rate,
So
Extra hours of volunteering = 6 3/4 - 3 [ 1 1/2] = 2 1/4
Rate of volunteering per week = [2 1 / 4] / 3 = 3 / 4

Thus, Autumn volunteered 3/4 hours per week more than the least hours per week of volunteering.

Learn more about the rate of change here:

https://brainly.com/question/13103052

#SPJ5

Answer:

9+4x = 7x;

9 = 7x-4x;

9 = 3x;

x = 3;

So you need to be there 3 hours to achieve the same cost;

Answer:

well isn't it pattern so wouldn't it be -35,-40,-45

Answer:

a)  25

b) the square root of 36 should be done

Step-by-step explanation:

x² - 10x = 11

take half of 10 and square it

x² - 10x + 25 = 11 + 25

(x-5)² = 36

x-5 = \(\sqrt{36}\)

x - 5 = 6  and  x - 5 = -6

x = 11  and  x = -1

Answer:

624 inches

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Width = 104 inches

So, Length = 104 × 2 = 208 inches

Now, we can calculate the perimeter of rectangle by using following formula,

Perimeter of rectangle = 2 ( length + width)

By putting the value, we get

Perimeter of rectangle = 2 ( 208 + 104)

= 624 inches

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

The conditional proportions of people using their phones in the afternoon and the evening can be summarized as follows: A significant proportion of individuals use their phones both in the afternoon and evening, indicating a consistent pattern of phone usage throughout the day.

In the afternoon, many people rely on their phones for various purposes such as work, communication, entertainment, and staying connected to social media. With the advancements in technology and increased accessibility to smartphones, it has become common for individuals to utilize their phones during this time. Whether it's checking emails, browsing the internet, or engaging in social media activities, the afternoon serves as a convenient time for phone usage.

Moving on to the evening, phone usage remains prevalent as individuals unwind and engage in leisure activities. During this time, people often use their phones for entertainment purposes, such as streaming videos, playing games, or engaging in social interactions through messaging apps or social media platforms. The evening also offers a time for catching up on news, reading, or engaging in personal hobbies, which may involve the use of mobile devices.

Overall, the conditional proportions reveal that phone usage is not limited to a specific time of day but rather extends throughout the afternoon and evening. This emphasizes the significant role that smartphones play in our daily lives, providing us with a range of functionalities and opportunities for connectivity and entertainment.

To know more about phone usage patterns: brainly.com/question/30408720

#SPJ11

The number of ways integer points can be assigned to the 12 problems, given that the total points is 100 and each problem is worth at least five points, can be calculated using a combinatorial approach.

To determine the number of ways, we can use the concept of stars and bars, which is a combinatorial technique used to distribute indistinguishable objects into distinguishable groups. In this case, the stars represent the total points (100) and the bars represent the dividers between the problems.

Since each problem is worth at least five points, we can consider a minimum of five points already assigned to each problem. This means we need to distribute the remaining points (100 - 12*5 = 40 points) among the 12 problems.

Using the stars and bars approach, we have 40 stars (representing the remaining points) and 11 bars (representing the dividers between the 12 problems). The number of ways to arrange these stars and bars is equivalent to the number of ways to assign points to the problems.

The answer, therefore, can be calculated using the formula for combinations with repetition: C(n + k - 1, k - 1), where n is the number of stars (40) and k is the number of bars (11).

Hence, the number of ways to assign integer points to the problems is C(40 + 11 - 1, 11 - 1) = C(50, 10).

To learn more about combinations click here : brainly.com/question/20211959

#SPJ11

Answer:

Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, and division by 5• 25