Luis, Carlo, and Ken bought movie
tickets. Each ticket cost the same
amount. The 3 tickets cost $21. How
much did Carlo pay for his ticket?
Use a model to justify your answer.

Let x be the amount of 90% solution you will use.

You have 350 mL of a 15% alcohol solution, so it contains 0.15 • 350 mL = 52.5 mL.

For each mL of the 90% solution that you use, you would add 0.9 mL of alcohol. So in the new mixture, the volume would be (350 + x) mL, and its concentration needs to be 40% so that

((52.5 + 0.9x) mL) / ((350 + x) mL) = 0.4

Solve for x :

(52.5 + 0.9x) / (350 + x) = 0.4

(52.5 + 0.9x) / 0.4 = 350 + x

131.25 + 2.25x = 350 + x

1.25x = 218.75

x = 175

so you will need to use 175 mL of the 90% solution.

Answer:

48

Step-by-step explanation:

The significance level is 95%

Z-alpha/2 = 1.96 at 0.05 from the standard normal distribution table.

The standard deviation has been given to be 7

Margin of error is 2

We solve further using the formula:

n = (z-alpha/2 * sd/ME)²

n = (1.96 * 7/2)²

n = (1.96x3.5)²

= 6.86²

= 47.0596

This is approximately

n = 48

So the sample size they should be selected should be 48 for at 95% confidence level.

Answer:

10: No

11: No

12: Yes

13: No

Step-by-step explanation:

8 / 3 = 2.66

4 / 3 = 1.33

24 / 3 = 8

38 / 3 = 12.66

Hope this help and have a great day!

Answer:

Step-by-step explanation:

.......

...................

The degree of the given polynomial x⁵ - 4x + 2 is 5. The correct answer is option A. 5.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of a polynomial is the highest power of the variable with a non-zero coefficient.

As per the question,

Here, 5 is the highest power of x with a non-zero coefficient.

Therefore, the degree of x⁵ - 4x + 2 is 5.

Hence, the correct answer is option A. 5.

Learn more about the polynomial here:

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#SPJ7

Answer:

1.7

Step-by-step explanation:

That was the correct answer trust me

Answer:

You cant see the picture its glitched send another one

Step-by-step explanation:

Answer:

2 products a second.

Step-by-step explanation:

Answer:

y=-1x+3

Step-by-step explanation:

1-5=-4

2--2=4

-4/4= -1

Answer:

A. x>-12

Step-by-step explanation:

-2x/3+7<15  Subtract 7 on both sides.

         -7  -7

-2x/3<8       -2x/3 is equal to -2/3x, so you can simplify to that.

-2/3x<8       Because you have to isolate x, multiply by the reciprocal of the          

*-3/2  *-3/2  fraction. This will divide by -2/3 on both sides.

x>-12            Remember, because you multiplied by a negative, you have to flip the inequality sign.

Hope this helps you! Have a nice day c:

Answer:

66 not parallel or transversal I believe its supplementary

Step-by-step explanation:

Answer:

x=57

Step-by-step explanation:

x+28+x+38=180

Step 1: Simplify both sides of the equation.

x+28+x+38=180

(x+x)+(28+38)=180(Combine Like Terms)

2x+66=180

2x+66=180

Step 2: Subtract 66 from both sides.

2x+66−66=180−66

2x=114

Step 3: Divide both sides by 2.

2x/2=114/2

Answer:

x=57

Answer:

57

Step-by-step explanation:

x+28+x+38=180

2x+66=180

-66           -66

2x=114

/2    /2

x=57

I think

Answer:

0.04

Step-by-step explanation:

25 images / 1 second

pls mark brainlist :)

Complete Question

Consider H0: μ=38 versus H1: μ>38. A random sample of 35 observations taken from this population produced a sample mean of 40.27. The population is normally distributed with σ=7.2.

Calculate the p-value. Round your answer to four decimal places.

Answer:

The   [tex]p-value = 0.030742[/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 38[/tex]

   The sample size is  n = 35

   The sample mean is  [tex]\= x = 40.27[/tex]

   The standard deviation is  [tex]\sigma = 7.2[/tex]

The null  hypothesis is  [tex]H_o[/tex]: μ=38

The alternative hypothesis is H1: μ>38

Generally the test statistics is mathematically represented as

      [tex]t = \frac{ \= x -\mu }{\frac{\sigma }{ \sqrt{n} } }[/tex]

=>    [tex]t = \frac{ 40.27 - 38 }{\frac{ 7.2 }{ \sqrt{ 35} } }[/tex]

=>    [tex]t =1.87[/tex]

Generally from the z table the p-value of  [tex](Z > 1.87 )[/tex]  is  

    [tex]p-value = P(Z > 1.87) = 0.030742[/tex]

Answer:

Ok so the answer is x = -8

Step-by-step explanation:

Have a nice day!!!

Answer:

−

9

x

−

3

x

+

4

, then set it equal to

−

10

x

−

(

2

x

−

4

)

.

Always true

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

-9x-3x+4 = -10x - (2x- 4)

-12x+4=-10x-2+4

-12x+4=-12x+4

Answer:

0.0225

Step-by-step explanation:

Probability that an eligible individual is called for jury duty in any one calendar year = 15/100 = 0.15

a) What is the probability that a particular eligible person in this city is selected in both of the next 2 years

Probability that an eligible person is chosen in each of the next 2years:

P(being chosen in first year) * P(being chosen in second year)

Since the probability of being chosen is the same in any one year with a probability of 0.15

Hence,

P(being chosen in first year) * P(being chosen in second year)

0.15 * 0.15 = 0.0225

a. the probability that a particular eligible person in this city is selected in both of the next 2 years is 0.0225

Since In a small city, approximately 15% of those eligible are called for jury duty in any one calendar year and there is two years.

So, the probability is

= 0.15 (0.15)

= 0.0225

Learn more about probability here: https://brainly.com/question/10695144

Answer:

1,216 131,784 130,435

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Scenario: You are bored during quarantine. However, you have been observing a bird feeder in your backyard and wow... do there seem to be a lot of squirrels in your neighbourhood. You begin to wonder how many squirrels are actually in your neighbourhood and devise an experiment to track their population.

Part 1. Using the data below, estimate the population of squirrels in your neighbourhood as if you employed the Mark-and-Recapture method. Please be sure to include any units in your final answer.

#captured on 06/01/20                          10

#captured on 06/30/20                          6

#recaptured on 06/30 from 06/01         3

Part 2. Calculate the rate of change in your neighbourhood population of squirrels based on the data from a June 2015 report that indicated a population of 40 squirrels.

Part 3. Calculate the intrinsic growth rate (r) for this population of squirrels based on the data you have acquired so far.

Part 4. Interpretations: In 1-2 sentences, summarize what's happening here (e.g. is the population growing or shrinking or staying the same?) and propose one plausible explanation for this change.

Answer: Part 1: Population of 20 squirrels

              Part 2: Rate of change 50%

              Part 3: r = -0.1386 anos

Step-by-step explanation: The Mark-and-Recapture method is a method to estimate a population when counting each individual is impractical. The method consists in capture a small population of individuals, mark them and released them back to the population. After a while, you catch another group and record the ones with the mark.

The calculations are made following this formula:

[tex]N=\frac{M*C}{R}[/tex]

N is the estimated population

M is marked individuals

C is total number of captured individuals (with and without the mark) the second time

R is recaptured individuals with the mark.

Part 1: Population of squirrels will be:

[tex]N=\frac{10*6}{3}[/tex]

N = 20

Population of squirrels in 2020 is 20 squirrels.

Part 2: Rate of change is calculated by the change in the population divided by the original population:

rate = [tex]\frac{20-40}{40}[/tex]

rate = - 0.5 or 50%

Part 3: The model for a population growth is exponential:

[tex]N=N_{0}e^{rt}[/tex]

N is population at that moment

N₀ is initial population

r is growth rate

t is period of time

Growth rate will be:

[tex]N=N_{0}e^{rt}[/tex]

[tex]20=40e^{5r}[/tex]

[tex]e^{5r}=0.5[/tex]

[tex]5r=ln(0.5)[/tex]

[tex]r=\frac{ln0.5}{5}[/tex]

[tex]r=-0.1386[/tex]

Growth rate (r) for the population of squirrels after 5 years is [tex]r=-0.1386[/tex] years.

Part 4: The growth rate has a negative sign, which means population is decreasing along the 5 years, so population is shrinking.

One possible explanation is the environment the population are in is lacking the squirrels primary need, i.e., squirrels' food source is diminishing, causing the population to decrease.

Answer:

2.2

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

Put it in a calculator and you get .4 but there's a lot of 4's. That's the repeating decimal.

Answer:4/9 and 4/7

Step-by-step explanation: Trust

Answer:

The function is an x exponential function.

The domain is infinite

The range is y<2

Answer: 5 to 9

Step-by-step explanation:

you just add them all together! (:

Answer: -9/7

Step-by-step explanation: The slope of parallel lines are the same/equal. Only the y intercept is different

Answer:

The 16 percent of the goldfish are smaller from 1.25 inches.

Step-by-step explanation:

Let X denote the size of a particular goldfish.

It is provided that the mean size is, μ = 1.5 inches and standard deviation of the size is, σ = 0.25 inches.

Assume that X is normally distributed.

Compute the size of a goldfish such that only 16 percent of the goldfish are smaller from such size as follows:

P (X < x) = 0.16

⇒ P (Z < z) = 0.16

The z-value for such a probability is:

z = -0.99

*Use a z-table.

Compute the value of x as follows:

[tex]z=\frac{x-\mu}{\sigma}\\\\-0.99=\frac{x-1.5}{0.25}\\\\x=1.5-(0.99\times 0.25)\\\\x=1.2525\\\\x\approx 1.25[/tex]

Thus, the 16 percent of the goldfish are smaller from 1.25 inches.

Volume of cuboid :

[tex]14 = x^2h\\\\h = \dfrac{14}{x^2}[/tex]

Surface area of this cuboid :

[tex]A = 2( x^2 + xh + xh )\\\\A = 2( x^2 + 2xh)[/tex]

Putting [tex]h = \dfrac{14}{x^2}[/tex] in above equation, we get :

[tex]A=2(x^2 + 2x\times \dfrac{14}{x^2})\\\\A = 2( x^2 + \dfrac{28}{x} )[/tex]

For minimum area, [tex]\dfrac{dA}{dx}=0[/tex] :

[tex]\dfrac{dA}{dx}=2( 2x -\dfrac{28}{x^2})\\\\\dfrac{dA}{dx }= 4(x - \dfrac{14}{x^2})\\\\x - \dfrac{14}{x^2}=0\\\\x=\sqrt[3] {14} = 2.41[/tex]

Therefore, value of x is 2.14 .

Hence, this is the required solution.

The dimension for which the volume is 14 and the surface area is as small as possible are 2.41 by 2.41 by 2.41

The formula for calculating the volume of the square box is expressed as:

[tex]V = x^2h[/tex]

Given that the volume of the box is 14, on substituting the value we will have:

[tex]14 =x^2h\\h=\frac{14}{x^2}[/tex]

The surface area of the box is expressed as:

[tex]S = 2(x^2+xh+xh)\\S=2(x^2+2xh)\\S = 2(x^2+2x(\frac{14}{x^2} ))\\S = 2(x^2+\frac{28}{x} )\\S=2x^2+\frac{56}{x}[/tex]

To get the surface area is as small as possible, then dS/dx = 0

[tex]\frac{dS}{dx} = 4x-\frac{56}{x^2}\\0 = 4x-\frac{56}{x^2}\\4x = \frac{56}{x^2}\\4x^3 = 56\\ x^3=14\\x=\sqrt[3]{14}\\x= 2.41[/tex]

Get the height of the box. Recall that;

[tex]h=\frac{14}{x^2}\\h=\frac{14}{(2.41)^2}\\h=\frac{14}{5.8081}\\h= 2.41[/tex]

Hence the dimension for which the volume is 14 and the surface area is as small as possible are 2.41 by 2.41 by 2.41

Learn more here: https://brainly.com/question/18761821