The stem-and-leaf plot below shows the height of 15 sunflowers grown in the
school garden. The heights are given in inches.

Answer:

Option D

Step-by-step explanation:

x is given to be 4 in this case, so all we would have to is plug it into the following function -

[tex]f ( x ) = \left \{ {{x - 2, x < 4 } \atop {x + 2, x \geq 4 }} \right[/tex]

Through substitution, you would receive the following function -

[tex]f ( x ) = \left \{ {{2, 4 < 4 } \atop 6, 4 \geq 4 }} \right[/tex]

Now the graph proves that this function is closer to 4, and thus proves that the y - coordinate is about 2 at the same time. However, the graph is cut off, so the limit doesn't exists.

Answer:

$833

Step-by-step explanation:

Since there are 9 people, we need to determine the cost of accommodation and flights for all 9 people:

9(273) + 9(184) = 2457 + 1656 = 4167 for 9 people

We then subtract that amount from the amount of money she won:

5000 - 4167 = 833

Answer:

247

49

Step-by-step explanation:

a) f•g (4) =

f•g (x) =  f(g(x)) = (x + 9)^2 + 6(x + 9)

f•g (4) =  (4 + 9)^2 + 6(4 + 9)

= 13^2 + 6(13)

= 247

B) g•f (4) =

g•f (x) = g(f(x)) = x^2 + 6x + 9

g•f (4) = 4^2 + 6(4) + 9

= 16 + 24 + 9

= 49

Complete Question

Jessica is organizing a guided tour of the rain forest. The average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. What does the denominator of this rational expression represents?

Answer:

Number of people going on the tour

Step-by-step explanation:

Given that the average profit per person  [tex]=\dfrac{18x+35}{x}[/tex]

[tex]\text{Average}=\dfrac{\text{Sum of Total Items}}{\text{Number of Items}}[/tex]

Therefore:

[tex]\text{Average Profit}=\dfrac{(18x+35)\text{ profit}}{x\text{ persons}}[/tex]

The denominator, x represents the number of people going on the tour.

Answer:

btw 35/x represents epresents a fixed cost, like a cover charge for the tour, that is not affected by the number of people attending the tour. So, the quotient 35/x represents the profit that the tour company makes from the cover charge per person.

Step-by-step explanation:

PLATO

Answer:

[tex] P(X=7)[/tex]

And using the probability mass function we got:

[tex]P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271[/tex]  

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

[tex]X \sim Binom(n=15, p=0.23)[/tex]  

The probability mass function for the Binomial distribution is given as:  

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]  

Where (nCx) means combinatory and it's given by this formula:  

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]  

And we want to find the following probability:

[tex] P(X=7)[/tex]

And using the probability mass function we got:

[tex]P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271[/tex]  

Answer:

[tex]\huge\boxed{A=3\sqrt{255}\ in^2\approx47.91\ in^2}[/tex]

Step-by-step explanation:

We have two sides

[tex]a=12in;\ b=14in[/tex]

and the preimeter

[tex]P=34in[/tex]

We can calculate the length of the third side:

[tex]c=P-a-b[/tex]

substitute

[tex]c=34-12-14=8\ (in)[/tex]

Use the Heron's formula:

[tex]A=\sqrt{p(p-a)(p-b)(p-c)[/tex]

where

[tex]p=\dfrac{P}{2}[/tex]

substitute:

[tex]p=\dfrac{34}{2}=17\ (in)\\\\A=\sqrt{17(17-12)(17-14)(17-8)}=\sqrt{(17)(5)(3)(9)}\\\\=\sqrt{9}\cdot\sqrt{(17)(5)(3)}=3\sqrt{255}\ (in^2)\approx47.91\ (in^2)[/tex]

The answer is option A

Step-by-step explanation:

Thirteen less than a number is written as

n - 13

Equate it to 42

We have

n - 13 = 42

Hope this helps you

Answer:

4/7

Step-by-step explanation:

5+2=7

7 children

4 boys Out of 7 children

Answer:1/7

Step-by-step explanation:

Khan academy

Answer:

0.14% probability of a person guessing the right​ combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the numbers are selected is important. For example, 1,3,2 is a different combination than 3,1,2. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

Desired outcomes:

One right combination, so [tex]P = 1[/tex]

Total outcomes:

10 numbers from a set of 3. So

[tex]P_{(10,3)} = \frac{10!}{(10-3)!} = 720[/tex]

What is the probability of a person guessing the right​ combination?

[tex]p = \frac{D}{T} = \frac{1}{720} = 0.0014[/tex]

0.14% probability of a person guessing the right​ combination

Answer:

24 oz costs $3.75

The rice cost per oz is $0.16

Step-by-step explanation:

Step 1: Set up proportion

16/2.5 = 24/x

Step 2: Cross multiply

16x = 24(2.5)

Step 3: Solve

16x = 60

x = 15/4 or 3.75

Answer:

Step-by-step explanation:

Hi there! Hopefully this helps!

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

2 + 2 = 4.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

You can simply find this answer by getting two of your fingers on your left hand, getting two MORE fingers of your right hand, and counting them. You will end up with 4.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

You could multiply 2 two times, like this:

2 x 2 = 4.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

You could split the numbers into parts and add them back together, like this:

2 = 1 + 1.

           +

2 = 1 + 1.

           =

1 + 1 + 1 + 1 = 4.

Answer:

4

Step-by-step explanation:

problem is if you dont have a fingers... you cant physically count 2 + 2

anyway... just add them using your brain = 2 + 2 makes 4

Answer:

152.3

Step-by-step explanation:

area of a parralellogram is L×B

since a degree is given

it will make it

sin 65×14×12

sin 65=0.9063

so 0.9063×14×12

=152.3

Answer:  [tex]\bold{\dfrac{b_1}{b_2}=\dfrac{3}{2}}[/tex]

Step-by-step explanation:

Inversely proportional means a x b = k   --> b = k/a

Given that a₁ = 2   --> b₁ = k/2

Given that a₂ = 3   -->  b₂ = k/3

[tex]\dfrac{b_1}{b_2}=\dfrac{\frac{k}{2}}{\frac{k}{3}}=\large\boxed{\dfrac{3}{2}}[/tex]

Answer:

(a) matched pair design

(b) n = 30

(c) Reject the null hypothesis.

Step-by-step explanation:

The complete question is:

A researcher records the amount of time (in minutes) that parent child pairs spend on social networking sites to test whether they show any generational differences. From the following findings in APA format, interpret these results by stating the research design used (repeated measures or matched pairs), the sample size, the decision, and the effect size. Parents spend significantly less time on social networking sites compared their children (MD = -42 minutes),t(29)=4.021,p<.05,d=0.49.(a) What research design was used? (Repeated measures or matched pairs?)(b) What is the sample size? (n = ?)(c) What is the decision? (Retain or reject the null?)

Solution:

(a)

It s provided that the researcher records the amount of time (in minutes) that parent-child pairs spend on social networking sites.

This implies that the data collected is in the form of paired data.

Thus, the research design that was used was matched pair design.

(b)

Consider the t-statistics provided:

t (29) = 4.021

The number 29 in the bracket is the degrees of freedom.

The degrees of freedom for a matched pair design is,

df = n - 1

Compute the value of n as follows:

df = n - 1

29 = n - 1

n = 29 + 1

n = 30

Thus, the sample size is n = 30.

(c)

The p-value of the test is:

p < 0.05

The p-value of the test is less than the 5% significance level.

This implies that the null hypothesis will be rejected at 5% significance level.

Answer: b) 180° rotation & reflection over x-axis

Step-by-step explanation:

Rotation of 180° changes the signs of both x and y.

(x, y) → (-x, -y)

Reflection over the x-axis changes the sign of y.

(-x, -y) → (-x, y)

 (x, y)        (-x, y)  

 (0, 1)   →    (0, 1)

 (1, -1)   →   (-1, -1)

 (5, 3)   →   (-5, 3)

Answer:

Probability (N more than 2) = 0.3773

Step-by-step explanation:

Given:

Average number of crashes (N) = 2.2

Find:

Probability (N more than 2)

Computation:

Probability (N more than 2) = [1-P(N=0)-P(N=1)-P(N=2)]

Probability (N more than 2) = [1 - e⁻²°² - 2.2e⁻²°² - (2.2²e⁻²°²)/2]

Probability (N more than 2) = 0.3773

Answer:

3n>15

Step-by-step explanation:

So basically, this three times a number, 3n, is greater than 15. So, this is 3n>15.

Answer:

a) [tex]\mathbf{\dfrac{dx}{dt} = 30 - 0.015 x}[/tex]

b) [tex]\mathbf{x = 2000 - 2000e^{-0.015t}}[/tex]

c)  the  steady state mass of the drug is 2000 mg

d) t ≅ 153.51  minutes

Step-by-step explanation:

From the given information;

At time t= 0

an intravenous line is inserted into a vein (into the tank) that carries a drug solution with a concentration of 500

The inflow rate is 0.06 L/min.

Assume the drug is quickly mixed thoroughly in the blood and that the volume of blood remains constant.

The objective of the question is to calculate the following :

a) Write an initial value problem that models the mass of the drug in the blood for t ≥ 0.

From above information given :

[tex]Rate _{(in)}= 500 \ mg/L \times 0.06 \ L/min = 30 mg/min[/tex]

[tex]Rate _{(out)}=\dfrac{x}{4} \ mg/L \times 0.06 \ L/min = 0.015x \ mg/min[/tex]

Therefore;

[tex]\dfrac{dx}{dt} = Rate_{(in)} - Rate_{(out)}[/tex]

with respect to  x(0) = 0

[tex]\mathbf{\dfrac{dx}{dt} = 30 - 0.015 x}[/tex]

b) Solve the initial value problem and graph both the mass of the drug and the concentration of the drug.

[tex]\dfrac{dx}{dt} = -0.015(x - 2000)[/tex]

[tex]\dfrac{dx}{(x - 2000)} = -0.015 \times dt[/tex]

By Using Integration Method:

[tex]ln(x - 2000) = -0.015t + C[/tex]

[tex]x -2000 = Ce^{(-0.015t)[/tex]

[tex]x = 2000 + Ce^{(-0.015t)}[/tex]

However; if x(0) = 0 ;

Then

C = -2000

Therefore

[tex]\mathbf{x = 2000 - 2000e^{-0.015t}}[/tex]

c) What is the steady-state mass of the drug in the blood?

the steady-state mass of the drug in the blood when t = infinity

[tex]\mathbf{x = 2000 - 2000e^{-0.015 \times \infty }}[/tex]

x = 2000 - 0

x = 2000

Thus; the  steady state mass of the drug is 2000 mg

d) After how many minutes does the drug mass reach 90% of its stead-state level?

After 90% of its steady state level; the mas of the drug is 90% × 2000

= 0.9 × 2000

= 1800

Hence;

[tex]\mathbf{1800 = 2000 - 2000e^{(-0.015t)}}[/tex]

[tex]0.1 = e^{(-0.015t)[/tex]

[tex]ln(0.1) = -0.015t[/tex]

[tex]t = -\dfrac{In(0.1)}{0.015}[/tex]

t = 153.5056729

t ≅ 153.51  minutes

Answer:

$288

Step-by-step explanation:

10% of 240 is 240 / 10 = 24

24 X 2 = 48

240 + 48 = $288

Answer:

$288 ....brainliest appreciated pls

Step-by-step explanation:

20/100 × 240 = 48dollars

so...the selling price becomes 240+48 = $288

Hey there! :)

Answer:

≈ $41330

Step-by-step explanation:

Begin by finding the area of the racetrack by subtracting the area of the smaller circle from the larger one.

Calculate the areas of the circles using: A = πr²

Larger circle:

A = π145²

A = 21025π = 66018.5 ft²

Smaller circle:

A = π80²

A = 6400π = 20096 ft²

Subtract the smaller from the larger of the areas:

66018.5 - 20096 = 45922.5 ft²

Divide this by 100 to solve for the amount of asphalt needed:

45922.5 / 100 = 459.225.

Since asphalt costs $90 dollars per 100 ft², then:

459.225 · 90 = $ 41330.25 ≈ $41330 rounded.

Answer:

5000

Step-by-step explanation:

500×2=1000

1000=1.00

1000×5=5.00

Answer:

The writer worries about being left out.

Step-by-step explanation:

Answer:

- Was the car speeding?

Yes, the car was speeding as its current speed of 57.65 mph was more than the speed limit of that freeway.

- Do you agree with Nico or with Katya?

I agree somewhat with both Nico and Katya, but, I agree more with Nico.

- Explain your reasoning.

Like I said, I agree more with Nico's method of rounding the speed to the nearest whole number. This is because in this question, the standard speed we want to compare the calculated speed with is given as a whole number. Hence, it is more proper to estimate the calculated speed to its nearest whole number too.

Step-by-step explanation:

Speed during a travel is given as distance travelled divided by time taken

Speed = (Distance/time)

Distance = 98 miles

Time = 1.7 hours

Speed = (98/1.7) = 57.6470588235 = 57.65 mph = 58 mph

- Was the car speeding?

The speed limit for the road is 55 mph and the current speed of the car = 57.65 mph

Since 57.65 > 55

The car was overspeeding.

- Nico says it's okay to round what his calculator says to the nearest whole number. Katya says that because the calculator displays eight numbers after the decimal point, they shouldn't round. She says they should write down exactly what the calculator shows. Do you agree with Nico or with Katya?

I agree somewhat with both Nico and Katya as the both methods of recording the speed ate right, depending on what the speed is required for.

Although, I agree more with Nico's method as it seems like a better fit for the situation described in the question.

- explain who you agree with and provide the reasons why.

Like I said earlier, I agree more with Nico's method of rounding the speed to the nearest whole number. This is because in this question, the standard speed we want to compare the calculated speed with is given as a whole number. Hence, it is more proper to estimate the calculated speed to its nearest whole number too.

Katya's method of writing the calculated speed as is will be correct in cases where extreme accuracy is required, not an estimate. For this question, the estimate will do.

Hope this Helps!!!

Answer:

Yes, the car was speeding as its current speed of 57.65 mph was more than the speed limit of that freeway.

Step-by-step explanation:

Nico and Katya i agree with.

A rectangular prism is thought of as being created by stacking congruent polygons.

A solid (3-dimensional) object which has six faces that are rectangles. It has the same cross-section along a length, which makes it a prism.

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Stacking congruent figures means arranging the congruent figures on the top of the other until it become a large pile.

According to the given question.

We have to stack the congruent polygons.

As we know that stacking up means ​to keep increasing in quantity until we get a large pile.

Since, when we piled up of stack the congruent polygons we will get a prism.

For example when we stack congruent squares we will get cube or we can say a rectangular prism.

If we stack congruent octagons we will get an octagon prism.

Hence, a rectangular prism is thought of as being created by stacking congruent polygons.

Find out more information about stacking of congruent figures here:

https://brainly.com/question/12137878

#SPJ3

Answer:

B. 1788

Step-by-step explanation:

The volume of solid shaped is expressed in cubic yards. The sides of the shape are multiplied or powered as 3 for the volume determination. Volume is the total space covered by the object. It includes height, length, width. The three dimensional objects volume is found by

length * height * width

The volume for current object is :

12 * 28 * 5

= 1788 cubic yards.

Answer: 1778

Step-by-step explanation:

because Ik I had the question

Answer:

  4.5

Step-by-step explanation:

The graph of y = e^x shows the value of e^1.5 to be about 4.5.

Answer:

Selling price = $190003.206 and total interest paid is $135640.794

Step-by-step explanation:

The down payment of house = $25404

Monthly payment = $834 per month.

Total number of years = 30 years = 30*12 = 360 months.

Interest rate compounded monthly = 4.5 % * 1/12 = 0.375% per month or 0.00375.

Now we have to calculate the selling price of house and total interest paid.

Loan amount = Present value of monthly payments.

[tex]\text{Loan amount} = \frac{ Monthly \ payment \times [1- (1+r)^{-n}]}{r} \\= \frac{ 834 \times [1- (1+ 0.00375)^{-360}]}{0.00375} \\= 164599.206[/tex]

Selling price of house = 25404 + 164599.206 = 190003.206

Interest amount = total amount of installment – loan amount

Interest amount = 834*360 – 164599.206 = 135640.794 dollars.

Answer:

  1

Step-by-step explanation:

The lateral area of a cylinder is ...

  LA = 2πrh

The total area is that added to the areas of the two circular bases:

  A = 2πr² +2πrh

We want the ratio of these to be 1/2:

  LA/A = (2πrh)/(2πr² +2πrh) = h/(r+h) = 1/2 . . . . cancel factors of 2πr

Multiplying by 2(r+h) gives ...

  2h = r+h

  h = r . . . . . subtract h

So, the desired ratio is ...

  h/r = h/h = 1

The ratio between height and radius is 1.

Answer:

2.5

Step-by-step explanation:

The integral of a function is the area under the curve.

Graph |9x−3|.  The result is two lines.  The areas under these lines are triangles.  The first triangle has a base of ⅓, and a height of 3.  The second triangle has a base of ⅔, and a height of 6.

The total area is therefore:

A = ½ (⅓) (3) + ½ (⅔) (6)

A = ½ + 2

A = 2.5