What is the y coordinate of the point that divides the directed line segment from j to k into a ratio of 2 to 3

The answer is B..........

Answer:

B. 1

Step-by-step explanation:

If it was more than one it wouldn't be a triangle.

Answer:

There are 210 ways

Step-by-step explanation:

The number of ways or combinations in which we can select x elements from a group of n elements where the order doesn't matter can be calculated as:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

So, we have 10 teaching assistants and we need to choose 4 (one assistant per question) to grade each question. It means that n is equal to 10 and x is equal to 4.

Therefore, the number of ways that the assistants can be chosen to grade the exam are calculated as:

[tex]10C4=\frac{10!}{4!(10-4)!}=210[/tex]

Answer: A

Step-by-step explanation:

You want to make them both have common denominators. What number does the denominators both go into? Thats easy, its 60.

Multiply 7/12 by 5/5 to get 35/60

Now multiply 4/15 by 4/4 to get 16/60

You need to add a negative number to 35/60 in order to get 16/60

Do 16-35 to get -19/60

Answer:

[tex] z= \frac{0.21- 0.39}{0.0373}= -4.829[/tex]

[tex] z= \frac{0.32- 0.39}{0.0373}=-1.877[/tex]

And we can find the probability with this difference:

[tex] P(-4.829<z< -1.877) = P(Z<-1.877) -P(Z<-4.829)=0.0303- 6.86x10^{-7}=0.0303[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] n = 171[/tex] represent the sample size

[tex]p =0.39[/tex] the proportion of interest

We want to find the following probability:

[tex] P( 0.21 < \hat p < 0.32)[/tex]

We can use the normal approximation for this case since np >10 and n (1-p) >10

For this case we know that the distribution for the sample proportion is given by:

[tex]\hat p \sim N( p , \sqrt{\frac{p (1-p)}{n}} )[/tex]

And we can use the following parameters:

[tex] \mu_{\hat p}= 0.39[/tex]

[tex] \sigma_{\hat p} =\sqrt{\frac{0.39*(1-0.39)}{171}}= 0.0373[/tex]

And we can apply the z score formula given by:

[tex] z = \frac{p \\mu_{\hat p}}{\sigma_{\hat p}}[/tex]

And using this formula we got:

[tex] z= \frac{0.21- 0.39}{0.0373}= -4.829[/tex]

[tex] z= \frac{0.32- 0.39}{0.0373}=-1.877[/tex]

And we can find the probability with this difference:

[tex] P(-4.829<z< -1.877) = P(Z<-1.877) -P(Z<-4.829)=0.0303- 6.86x10^{-7}=0.0303[/tex]

Answer:

1250

Step-by-step explanation:

5% of $5000 is 250

250X5= 1250

Answer:

5(4) + 5(8)

Step-by-step explanation:

Through destributive property, 5 is multiplied by both 4 and 8

Answer:

the person above is right thank and five star them

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Let x represent the years ago

103-x = 5(35-x)

103-x = 175 +5x

4x = 72

x = 18

Answer:

Cases : 2623 school children , Explanatory Variable : Greenery or Vegetation around school , Response Variable : Children's Memory & attention spans , Yes  causation, Observational study

Step-by-step explanation:

a) Cases refers to the people or units of population studied in the research. In this case, it is sample of 2623 school children in Barcelona

b) Explanatory variable is variable which leads to, or causes the change in other variable. In this case, it is greenery or vegetation around researched students' schools

c) Response variable is the variable which is affected due to change in independent explanatory variable. In this case, it is children's working  memory & attention spans

d) Yes, the headline implies causation. As it implies cause effect relationship of greenery around children's school on their working memory & attention spans.

e) It is an observational study, as it observes the variables relationship as it is, without any specific experimental intervention.

Answer:

B:

Step-by-step explanation:

If we rotate the 3-D figure around y-axis we'll obtain a cone with a radius of 3 units

Answer:

The integral is

∫ˣ²ₓ₁ 2π cos 2x √[1 + 4 sin² 2x] dx

x₁ = (-π/5)

x₂ = (π/5)

And the area of the surface generated by revolving = 9.71 square units

Step-by-step explanation:

When a function y = f(x) is revolved about the x-axis, the formula for the area of the surface generated is given by

A = 2π ∫ˣ²ₓ₁ f(x) √[1 + (f'(x))²] dx

A = 2π ∫ˣ²ₓ₁ y √[1 + y'²] dx

For this question,

y = cos 2x

x₁ = (-π/5)

x₂ = (π/5)

y' = -2 sin 2x

1 + y'² = 1 + (-2 sin 2x)² = (1 + 4 sin² 2x)

So, the Area of the surface of revolution is

A = 2π ∫ˣ²ₓ₁ y √[1 + y'²] dx

= ∫ˣ²ₓ₁ 2πy √[1 + y'²] dx

Substituting these variables

A = ∫ˣ²ₓ₁ 2π cos 2x √[1 + 4 sin² 2x] dx

Let 2 sin 2x = t

4 cos 2x dx = dt

2 Cos 2x dx = (dt/2)

dx = (1/2cos 2x)(dt/2)

Since t = 2 sin 2x

when x = (-π/5), t = 2 sin (-2π/5) = -1.90

when x = (π/5), t = 2 sin (2π/5) = 1.90

A

= ∫¹•⁹⁰₋₁.₉₀ π (2 Cos 2x) √(1 + t²) (1/2cos 2x)(dt/2)

= ∫¹•⁹⁰₋₁.₉₀ (π/2) √(1 + t²) (dt)

= (π/2) ∫¹•⁹⁰₋₁.₉₀ √(1 + t²) (dt)

But note that

∫ √(a² + x²) dx

= (x/2) √(a² + x²) + (a²/2) In |x + √(a² + x²)| + c

where c is the constant of integration

So,

∫ √(1 + t²) dt

= (t/2) √(1 + t²) + (1/2) In |t + √(1 + t²)| + c

∫¹•⁹⁰₋₁.₉₀ √(1 + t²) (dt)

= [(t/2) √(1 + t²) + (1/2) In |t + √(1 + t²)|]¹•⁹⁰₋₁.₉₀

= [(1.90/2) √(1 + 1.90²)+ 0.5In |1.90+√(1 + 1.90²)|] - [(-1.9/2) √(1 + -1.9²) + (1/2) In |-1.9 + √(1 + -1.9²)|]

= [(0.95×2.147) + 0.5 In |1.90 + 2.147|] - [(-0.95×2.147) + 0.5 In |-1.90 + 2.147|]

= [2.04 + 0.5 In 4.047] - [-2.04 + 0.5 In 0.247]

= [2.04 + 0.70] - [-2.04 - 1.4]

= 2.74 - [-3.44]

= 2.74 + 3.44

= 6.18

Area = (π/2) ∫¹•⁹⁰₋₁.₉₀ √(1 + t²) (dt)

= (π/2) × 6.18

= 9.71 square units.

Hope this Helps!!!

Answer:

a) The function is [tex]f(x,y,z) = xyz+2z^2[/tex]

b) The value of the integral is 18

Step-by-step explanation:

a) We are given that [tex] F(x,y,z) (yz,xz,xy+4z)[/tex]. We want to find a function f such that the gradient of f is F. That is [tex]\nablda f = F[/tex] . Suppose that such f does exist, if that is the case, then by definition of the gradient, we have that

[tex] F(x,y,z) = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})[/tex]

From here, we have that

[tex] yz = \frac{\partial f}{\partial x}[/tex]

if we integrate both sides with respect to x, we get that

[tex] f(x,y,z) = xyz+ g(y,z)[/tex]

where g is a function that depens on y and z only. Now, we differentiate this equation with respect to y and make it equal to the 2nd component of F. That is

[tex] xz + \frac{\partial g}\partial{y} = xz[/tex]

This implies that [tex]\frac{\partial g}{\partial y} =0[/tex]. This means that g actually depends only on z. Until now, f is of the form

[tex] f(x,y,z) = xyz+g(z)[/tex]

If we repeat the previous step, by differentiating with respect to z and making it equall to the third component of F we get

[tex] xy + \frac{\partial g}{\partial z} = xy + 4z[/tex]

This implies that [tex] \frac{\partial g}{\partial z} = 4z[/tex] . If we integrate both sides with respect to z, we get that [tex] g(z) = 2z^2[/tex]

So f is of the form [tex] f(x,y,z) = xyz+2z^2[/tex]

b) To calculate the integral over the given segment, we can use the function f. Since the path is from (1,0,-2) to (6,4,1), then the value of the integral is given by evaluatin f at the end point and the substracting the value of f at the start point, that is

[tex] \int_C F \cdot dr = f(6,4,1) -f(1,0,-2) = 24+2(1)^2- (0+2(-2)^2)) = 18[/tex]

Answer:

y = x+15

Step-by-step explanation:

y - 15=x

Add 15 to each side

y - 15+15=x+15

y = x+15

Answer:

[tex]y=x+15[/tex]

Step-by-step explanation:

[tex]y - 15=x[/tex]

Add [tex]15[/tex] on both sides of the equation.

[tex]y - 15+15=x+15[/tex]

The [tex]y[/tex] should be isolated on one side of the equation.

[tex]y=x+15[/tex]

Answer:

28 and 7

35

Step-by-step explanation:

The area of a triangle is base*height/2, no matter the shape.

So the big one is 8*7/2 = 28 in²

And the little one is 2*7/2 = 7 in²

The total trapezoid therefore has an area of 28+7=35 in²

Answer:

5 one-third ft²

Step-by-step explanation:

rectangle=5ft (base) / 1/3ft (height)

triangle1=3ft (base) / 2ft (height)

triangle2=2/3ft (base) / 2ft (height)

area of rectangle=5x1/3

=5/3ft²

area of triangle1=3x2(1/2)

=3ft²

area of triangle2=2/3x2(1/2)

=2/3ft²

Total area=5/3+6+2/3

=16/3ft² or 5 one-third ft²

Answer:

A

Step-by-step explanation:

took the test on edg 2021

Answer:

A.

Step-by-step explanation:

Volume of sphere = (4/3)πr³

= 4/3(3.14)(d/2)³

= 4/3(3.14)(7/2)³

= 4/3(3.14)(3.5)³

= 4/3(3.14)(42.875)

= (1.33)(3.14)(42.875)

= 179.5 cm³

Answer:

The answer is 179.5 cm^2

Answer:

Step-by-step explanation:

To solve this problem, we need to find the number which express the whole park.

Notice that the park is divided in two sections, one occupies 5/8 of the total, and the other occupies 2/7 of the total. So, the sum would be

[tex]\frac{5}{8}+\frac{2}{7}=\frac{35+16}{56} =\frac{51}{56}[/tex]

Now we have the total space there, we need to divide 5/8 by 51/56, so

[tex]\frac{5}{8} \div \frac{51}{56}=\frac{5}{8} \times \frac{56}{51}=\frac{280}{408} \approx 0.69[/tex]

Therefore, the rink occupies 69% of the whole park, approximately, which is equivalent to 280/408.

Answer:

230,000

Step-by-step explanation:

You have round in the ten thousands space which is the 3, knowing that the next number is 8 and it is greater than 5 the 3 will round up to a 4

Answer:

a) 3 standard deviations above 16

b) More than 2 standard deviations of the mean, so yes, 22 inches is faw away from the mean of 16 inches.

c) Less than 2 standard deviations, so not far away.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If Z < -2 or Z > 2, X is considered to be far away from the mean.

In this question, we have that:

[tex]\mu = 16[/tex]

​(a) Suppose the data come from a sample whose standard deviation is 2 inches. How many standard deviations is 22 inches from 16 ​inches?

This is Z when [tex]X = 22, \sigma = 2[/tex].

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 16}{2}[/tex]

[tex]Z = 3[/tex]

So 22 inches is 3 standard deviations fro 16 inches.

​(b) Is 22 inches far away from a mean of 16 ​inches?

3 standard deviations, more than two, so yes, 22 inches is far away from a mean of 16 inches.

(c) Suppose the standard deviation of the underlying data is 4 inches. Is 22 inches far away from a mean of 16 ​inches?

Now [tex]\sigma = 4[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 16}{4}[/tex]

[tex]Z = 1.5[/tex]

1.5 standard deviations from the mean, so 22 inches is not far away from the mean.

Answer:

C. [tex]G(x)=\frac{1}{x} -2[/tex]

Step-by-step explanation:

→For the function G(x) to shift downwards 2 units, there must be a 2 being subtracted.

----------------------------------------------------------------------------------------------------

F(x) + c

-Vertical shift and the function is moved c units

-Graph shifts c units up for F(x) + c and c units down for F(x) - c

----------------------------------------------------------------------------------------------------

This means the correct answer is "C. [tex]G(x)=\frac{1}{x} -2[/tex]."

Answer:

Step-by-step explanation:

The objective here is to create a journal entry for the Star corporation treasure stock transaction, then find the total amount of Paid-in Capital from Treasury Stock at December 31, 2017.

Journal Entries:

Date                  Description                          $                      $

Mar 1                Treasury Stock                   40,000  

Cash                                                                                   40,000

June 1               Cash(1,000*12)                     12,000  

                       Treasury Stock(1,000*8)                               8,000

                        Paid in Capital(12-8)*1,000                           4,000

Sept 1                Cash(1,000*10)                       10,000  

                      Treasury Stock (1,000*8)                               8,000

                      Paid in Capital (12-10)*1,000                          2,000

Dec 1               Cash (1,000*7)                             7,000  

                     Paid in Capital (8-7)*1,000             1,000  

                     Treasury Stock (1,000*8)                                 8,000

The Beginning Balance:

Treasury Stock Price = 250,000 / 5,000

= $50

Paid in Capital = [2,000×(53-50) + 2,000×(48-50) + 1,000×(43-50)]

= [(2,000×3) + (2,000×-2) + (1,000×-7)]

= 6,000 - 4,000 - 7,000

= -5,000

During the year transactions = 4,000+2,000-1,000

= $5,000

The total amount paid in Capital = Beginning Balance + During the year transactions  

= -5,000 + 5,000

= 0

Some other circumstances under which company can go for the purchase of treasury stock includes:

A situation where by they resells  the stock in the bid to increase funds for future investment.

The company can go for the purchase of treasury stock in order to empower the financial ratios and have full control interest in the company

It can also aid as a means of increasing the price of the share when it is underpriced in the market.

Answer:

2.5

Step-by-step explanation:

We have that the standardized mortality ratio (SMR) is the relationship between the number of deaths observed in a year, that is, those that occurred and the number of expected deaths, that is, those that were predicted.

SMR = observed / expected

therefore if we replace we have:

SMR = 4500/1800

SMR = 2.5

Which means that the standardized mortality ratio (SMR) is 2.5

[tex]i^{100}=i^{4\cdot25}=\left(i^4\right)^{25}[/tex]

Recall that [tex]i^4=1[/tex], since [tex]i^2=-1[/tex]. Then

[tex]i^{100}=1^{25}=1[/tex]

so that in the form [tex]a+bi[/tex], we have [tex]a=1[/tex] and [tex]b=0[/tex].

Answer:

D) 1

Step-by-step explanation:

Correct on edg

Answer:

to cm it's still 200 if you mean to metre 2m

Step-by-step explanation:

Answer:

It would still be 200

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Because the lines are parallel:

[tex]\dfrac{DE}{35}=\dfrac{60}{15} \\\\DE=4\cdot 35=140[/tex]

Hope this helps!

Answer:

For a given output value, there is, at most, one input value

Step-by-step explanation:

Given: the concept of function

To find: the statement that best describes the concept of a function

Solution:

A function is a relation in which every value of the domain has a unique image in the codomain.

Input value belongs to the domain and output value belongs to the codomain.

The statement ''For a given output value, there is, at most, one input value'' describes the concept of a function

The statement best describes the concept of a function is

For a given output value, there is, at most, one input value.

A relation is a function when each input has exactly only one output

Domain x is the input and range y is the output

In a function , each input x must have exactly only one output.

Input x cannot have two outputs.

The statement best describes the concept of a function is

For a given output value, there is, at most, one input value.

Learn more information about 'functions' here :

brainly.com/question/1593453

Answer:

35 dollars (0.08)

Step-by-step explanation:

35 + 8%, taxes are most likely in cents

Answer:

35 dollars (0.08)

Step-by-step explanation:

A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket?

A.35 dollars (0.08)

B.35 dollars (8)

C.35 dollars (0.08) + 35 dollars

D.35 dollars (8) + 35 dollars

because i just took the test and i got 94.3 and this question is right.

Hopefully this helps.

Answer:

Step-by-step explanation:

Hello!

Given the data for the variables:

Y: Selling price of a house on the shore of Tawas Bay

X₁: Number of bathrooms of a house on the shore of Tawas Bay.

X₂: Square feet of a house on the shore of Tawas Bay.

X₃: Number of bedrooms of a house on the shore of Tawas Bay.

The multiple regression model is Y= α + β₁X₁ + β₂X₂ + β₃X₃ + εi

a. Using software I've entered the raw data and estimated the regression coefficients:

^α= a= -5531.01

Represents the mean selling price of the houses when 0 bathrooms, 0 square feet and 0 bedrooms.

^β₁= b₁= -1386.21

Represents the modification of the mean selling price of the houses when the number of bathrooms increases in one unit and the square feet and number of bedrooms remain unchanged.

^β₂= b₂= 60.28

Represents the modification of the mean selling price of the houses when the square feet increase in one unit and the number of bathrooms and bedrooms remain unchanged.

^ β₃= b₃= 54797.08

Represents the modification of the mean selling price of the houses when the number of bedrooms increase in one unit and the number of bathrooms and square feet of the houses remain unchanged.

^Y= -5531.01 -1386.21X₁ + 60.28X₂ + 54797.08X₃

b)

R²= 0.55

R²Aj= 0.49

The coefficient of determination gives you an idea of how much of the variability of the dependent variable (Y) is due to the explanatory variables. Each time you add another explanatory variable to the regression the coefficient increases regarding of real contribution of the new variable. This could lead to thinking (wrongly) that the new variables are good to explain the dependent variable.  

The adjusted coefficient of determination is a correction made to the raw coefficient of determination to have a more unbiased estimation of the effect the independent variables have over the dependent variable.

⇒ As you can see both coefficient are around 50%, which means that these explanatory variables

c)

The standard error estimate, this is the estimate of the population variance of the errors. In the ANOVA is represented by the Mean Square of the errors (MME)

Se²= MME= 3837640577.01

Se= 61948.6931

d) and f)

For the hypotheses tests for each slope the t- and p-values are:

α: 0.05

β₁: [tex]t_{H_0}= \frac{b_1-\beta_1 }{Sb_1}[/tex] t= -0.06; p-value: 0.9528 ⇒ Do not reject H₀, the test is not significant.

β₂: [tex]t_{H_0}= \frac{b_2-\beta_2 }{Sb_2}[/tex] t= 2.56; p-value: 0.0180 ⇒ Reject H₀, the test is significant.

β₃: [tex]t_{H_0}= \frac{b_3-\beta_3 }{Sb_3}[/tex] t= 2.28; p-value: 0.0326 ⇒ Reject H₀, the test is significant.

e)

H₀: β₁= β₂= β₃

H₁: At least one βi is different from the others ∀ i=1, 2, 3

α: 0.05

F= 9.03

p-value: 0.0004

⇒ Reject H₀, the test is significant.

I hope it helps!

Complete question:

Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese.

a. How much cheese does Mai use per Pizza

b. At this rate how much cheese will she need to make 15 Pizza's

Answer:

a. ounces of cheese per pizza = 10/4 = 2.5 ounces of cheese

b. amount of cheese to make 15 pizzas= 2.5 × 15 = 37.5 ounces of cheese

Step-by-step explanation:

Mai is making a personal pizzas .For 4 pizza she uses 10 ounces of cheese. This means Mai uses 10 ounces of cheese in weight to make just 4 pizzas.

a. How much cheese does Mai use per Pizza

Not she uses 10 ounces of cheese to make 4 pizzas. Therefore,

If 4 pizzas requires  10 ounces of cheese

1 pizza will require ? ounces of cheese

cross multiply

ounces of cheese per pizza = 10/4 = 2.5 ounces of cheese

b. At this rate how much cheese will she need to make 15 Pizza's

Since she requires 2.5 ounces of cheese to make 1 pizza

? ounces of cheese will be required to make 15 pizzas

cross multiply

amount of cheese to make 15 pizzas = 2.5 × 15 = 37.5 ounces of cheese

Step-by-step explanation:

We need the function f(x) to be able to determine the required.

Suppose we were given a function

f(x) = y

f'(x) represents the first derivative of the function f(x) = y.

f'(1) represents the value of the first derivative of the function f(x) = y after replacing x by 1.

f'(5) represents the value of the first derivative of the function f(x) = y after replacing x by 5.

Example: Suppose f(x) = x² + 3x, find

f'(x), f'(1), and f'(5).

f'(x) = 2x + 3

f'(1) = 2(1) + 3 = 5

f'(5) = 2(5) + 3 = 13