What is the equation of the function?

Answer:

I think it's closer to [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{27}{50} = 0.54\\[/tex]\\

i do know that 1/2 is < 27/50

Answer: x = 9

y = 13

Step-by-step explanation:

Answer: C

Step-by-step explanation:707.10-682.87= 24.23. Similar difference can also be found in only chair which is. 161.55-137.32=24.23

Answer:

The correct answer is C on edge :) i just did the test

Step-by-step explanation:

Answer:

Step-by-step explanation:

Jack went out for dinner at Red Lobster and his meal was $45, This is the amount that he needs to pay if there was no tax or tip.

jack wants to leave an 18% tip, The amount of tip that jack wants to leave is 18/100 × 45 = 0.18×45 = $8.1

To determine how much jack needs to pay including the tip,

Amount that jack would pay is bill + tip = 45 + 8.1 = $53.1

Another way of calculating it is,

Since the tip is 18% and his bill was 100%, we will add the percentages and multiply by the bill. It becomes

118/100 × 45 = $53.1

Answer:

ABCDE = 42857

Step-by-step explanation:

First, we will use logic. The only number that when it's multiplied by 3, gives 1 at the end is 7, so E should be 7, so:

1ABCD7 * 3 = ABCD71    

If 3 times 7 is 21, we carry two, so, the next number by logic, cannot be 1, because 3*1 = 3 + 2 = 5, it's not 7, so, it should be another number, like 5.

5*3 = 15 + 2 = 17 and we carry one. So this number fix in the digit, and D = 5.

We have now: 1ABC57 * 3 = ABC571

Letter C, we have to get a number that when it's multiplied by 3 and carry one, gives 5. In this case 8, because: 3 * 8 = 24 + 1 = 25 and carry two. D = 8.

So far: 1AB857 * 3 = AB8571

Now, the same thing with B. If we multiply 3 by 2, and carry two we will have 8 so: 3 * 2 = 6 + 2 = 8. B = 2

1A2857 * 3 = A28571

Finally for the last number, a number multiplied by 3 that hold the 1 as decene, In this case, the only possibility is 4, 3 * 4 = 12 so:

142857 * 3 = 428571      

[tex] \frac{5}{3} = \frac{x}{7} [/tex]

you them cross multiply

5×7=35

3×X= 3x

35=3x

x(n)= 11.6

Answer:

n = 35/3 or 11 2/3.

Step-by-step explanation:

5/3 = n/7

Cross multiply:

3n = 5*7

3n = 35

n = 35/3

Answer:

C) 34

Step-by-step explanation:

1) Some definitions

By definition the margin of error (ME) is the error that tell to us how many percentage points your results will differ from the real population value, on this case our parameter of interest is  pr = proportion of red M&M's

ME = Critical value x Standard error of the sample =0.15.

The proportion of red M&M's follows a normal distribution, and our critical value would be from the normal standard distribution on this case

2) Calculate the critical value

a) Compute alpha (α): α = 1 - (confidence level / 100)  = 1- 0.97 = 0.03

b) Calculate the critical probability (p*): p* = 1 - α/2  = 1 - (0.03/2) = 0.985

c) Find the z-score using the cumulative probability obtained at step b)

On this case P(Z<z) = 0.985 , the value of z = 2.17 using the normal standard table

3) Calculate n from the formula of ME

The margin of error for a proportion is given by this formula

ME = z sqrt{{pr(1-pr)/n}}

Squaring both sides :

(ME/z) ^2  = (pr(1-pr))/n  

And solving for n we got

n = (pr(1-pr))/(ME/z)^2 = (0.2x0.8)/ (0.15/2.17)^2 = 33.488

We need to round up the sample in order to ensure that the confidence level of 97% is meeted, and on this case the answer would be 34.

The number of M&Ms needed to construct a confidence interval for the proportion of red M&Ms with a margin of error of ± .15 is n = 36.

To construct a confidence interval for the proportion of red M&Ms with a margin of error of ± .15, we can use the formula for the sample size needed:

n = (Z² × p × (1-p)) / E²

Substitute Z = 2.17 (for 97% confidence), p = 0.20 (given proportion of red M&Ms), and E = 0.15 into the formula:

n = (2.17²× 0.20 × 0.80) / 0.15²

  = 36

Therefore, the number of M&Ms that must be sampled to construct the 97% confidence interval for the proportion of red M&Ms with a margin of error of ± .15 is 36.

Final answer:

To express the radius of a circle in terms of the length of a side of a square, use the formula: r = s/√π.

Explanation:

A circle of radius r has the same area as a square with side length s. We can express the radius of the circle in terms of the length of a side of the square using the formula for the area of a circle: A = πr², where π is approximately 3.14159. Similarly, for the square, the area is given by A = s². Equating these two areas gives us the equation:

s² = πr²

Now, we can solve for r by rearranging the equation:

r = s/√π

Final answer:

To express the radius of a circle in terms of the side length of an equal-area square, use the formula r = s / √π.

Explanation:

To express the radius r of a circle in terms of the length of a side of the square s, where the circle and square have the same area, we start by setting the area formulas for both shapes equal to each other. The area of the circle is πr^2 and the area of the square is s^2. By equating the two areas, we have πr^2 = s^2. To solve for r, we need to take the square root of both sides of the equation divided by π, which gives us r = s / √π.

Answer:

The total number of questions are 40

Step-by-step explanation:

let the total number of questions be "x".

percent of questions answered correctly are 80.

In fractions 80% is [tex]\frac{4}{5}[/tex]

The total number of correctly answered questions are 32.

the equation is,

[tex](\frac{4}{5})(x) = 32[/tex]

thus , x = [tex]\frac{(5)(32)}{4}[/tex]

x= 40

The ordered pair (0 , -2) lies on the line with equation 3 x - y = 2

Step-by-step explanation:

To prove that a point lies on a line

The equation of the line is 3 x - y = 2

a) Point (0 , -2)

∵ x = 0 and y = -2

- Substitute the values of x and y in the left hand side

∵ The left hand side is 3 x - y

∵ 3(0) - (-2) = 0 + 2 = 2

∴ The left hand side = 2

∵ The right hand side = 2

∴ The two sides of the equation are equal

∴ The ordered pair (0 , -2) lies on the line

b) Point (-3 , 4)

∵ x = -3 and y = 4

- Substitute the values of x and y in the left hand side

∵ The left hand side is 3 x - y

∵ 3(-3) - (4) = -9 - 4 = -13

∴ The left hand side = -13

∵ The right hand side = 2

∴ The two sides of the equation are not equal

∴ The ordered pair (-3 , 4) doesn't lie on the line

c) Point (1 , -5)

∵ x = 1 and y = -5

- Substitute the values of x and y in the left hand side

∵ The left hand side is 3 x - y

∵ 3(1) - (-5) = 3 + 5 = 8

∴ The left hand side = 8

∵ The right hand side = 2

∴ The two sides of the equation are not equal

∴ The ordered pair (1 , -5) doesn't lie on the line

The ordered pair (0 , -2) lies on the line with equation 3 x - y = 2

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Answer:

[tex]a_{n}=2^{n}+3[/tex]

Step-by-step explanation:

The given sequence is not arithmetic, it's a geometric sequence, that means the sequence is obtain using powers. The faster way to find the answer is to try options that fist with a geometric sequence. If we try the last one, we'll find that's the answer.

We need to try for n=1, n=2, n=3, n=4 and n=5:

a_{1}=2^{1}+3=5

a_{2}=2^{2}+3=4+3=7

a_{3}=2^{3}+3=8+3=11

a_{4}=2^{4}+3=16+3=19

a_{5}=2^{5}+3=32+3=35

Therefore, the right answer is the last choice, because as you can observe, it fits perfectly with the given sequence.

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds [tex]b[/tex], and the amount invested in CD [tex]d[/tex], then we have:

[tex]b+d=50,000[/tex] this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds [tex]b[/tex] is $5,000 more than twice the amount Daniela put into the CD, we have:

[tex]b=5,000+2d[/tex].

Thus, we have two equations and two unknowns [tex]b[/tex] and [tex]d[/tex]:

(1). [tex]b+d=50,000[/tex]

(2). [tex]b=5,000+2d[/tex],

and we solve this system by substituting [tex]b[/tex] from the second equation into the first:

[tex]b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}[/tex]

or, the amount invested in CD is $15,000.

With the value of [tex]d[/tex] in hand, we now solve for [tex]b[/tex] from equation(2):

[tex]b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}[/tex]

or, the amount invested in bonds is $35,000.

Answer:

No because the probability of consecutive shows starting late are not independent events

Step-by-step explanation:

Is good begin with the definition of independent events

When we say Independent Events we are refering to  events which occur with no dependency of other evnts. Basically when the occurrence of one event is not affected by another one.

When two events are independent P(A and B) = P(A)xP(B)

But for this case we can't multiply 0.97x0.97x0.97 in order to find the probability that 3 consecutive shows start on time, because the probability for shows starting late are not independent events, because if the second show is late, the probability that the next show would be late is higher. And for this reason we can use the independency concept here and the multiplication of probabilities in order to find the probability required.

Yes, you can multiply (0.97)(0.97)(0.97) because the events are independent.

Yes, you can multiply (0.97)(0.97)(0.97) to find the probability that three consecutive shows on this network start on time. This is because the events are independent; the outcome of one show starting on time does not affect the outcome of the others.

Therefore, the probability that three consecutive shows start on time is the product of the probabilities of each show starting on time:  P(all three shows start on time) = 0.97 * 0.97 * 0.97 = 0.912673.

Answer: B. $2875

Step-by-step explanation:

We know that best point estimate of population mean[tex](\mu)[/tex] is the sample mean[tex](\overline{x})[/tex] .

Given : A large insurance company wanted to estimate [tex]\mu[/tex], the mean claim size (in 5) on an auto insurance policy.

A random sample of 225 claims was chosen and it was found that the average claim size was $2875.

i.e. Sample mean [tex]\overline{x}=\$2875[/tex]

That means , the point estimate for [tex]\mu=\$2875[/tex]

Hence , the correct answer is option B . $2875.

The point estimate of u, the mean claim size, is $2875 as determined by the average claim size of a random sample of 225 claims.

In statistics, a point estimate is often the best guess that one can make for an unknown parameter. In this case, we are looking for the mean claim size, denoted as u. When the question states that a random sample of 225 claims showed an average claim size of $2875, they are giving you the point estimate of u, because the calculated average is our best estimate of the population mean in this context. Therefore, the point estimate of u is $2875.

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Answer:

  x³ -6x² +x +20

Step-by-step explanation:

The distributive property is useful for making sure you have all of the partial products.

  (x^2–x–4)(x–5) = x(x^2–x–4) -5(x^2–x–4)

  = (x^3 -x^2 -4x) +(-5x^2 +5x +20)

  = x^3 +(-1-5)x^2 +(-4+5)x +20

  = x^3 -6x^2 +x +20

x = -4 is a vertical asymptote for the function.

The graph of [tex]y=f(x)[/tex] is a vertical has an asymptote at [tex]x=a[/tex] if at least one of the following statements is true:

[tex]1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty[/tex]

The function is:

[tex]f(x)=\frac{x^2+7x+10}{x^2+9x+20}[/tex]

First of all, let't factor out:

[tex]f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq  5[/tex]

From here:

[tex]\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty[/tex]

[tex]\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty[/tex]

Accordingly:

[tex]x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}[/tex]

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The best statement that could be used describe a polygon is that it is a closed plane figure with three or more sides that are straight. Thus, the correct answer is A: a closed plane figure with three or more sides that are straight.

Hope this helps! :)

Answer:

  $62,490.65

Step-by-step explanation:

If we assume her deposits are at the beginning of the month, and that the interest is compounded monthly, the future value is that of an "annuity due." The formula is ...

  FV = P(1+r/n)((1+r/n)^(nt)-1)/(r/n)

where r is the APR (.0276), n is the number of yearly compoundings (12), P is the monthly payment ($280), and t is the number of years (15). Putting the numbers into the formula and doing the arithmetic, we get ...

  FV = $280(1.0023)(1.0023^180 -1)/(.0023) ≈ $62,490.65

Angelica's account balance after 15 years will be $62,490.65.

_____

If her deposits are at the end of the month, the balance will be $62,347.25.

Answer:Glass ceiling

Step-by-step explanation:

Samantha is feeling the effect of glass ceiling .A glass ceiling is a term used to describe an unseen barrier that prevents a particular demographic (usually applied to minorities) from increasing in a hierarchy beyond a certain level.

Here The phrase “glass ceiling” is used to describe the difficulties faced by women when trying to move to higher roles in a male-dominated hierarchy.

Answer:you will  an app go to =567

Answer:

1/8

Step-by-step explanation:

This is actually pretty easy.

First, you have the sample of the children.

You know that the family with 3 children, can only have the following children:

MMM: all males

MMF: 2 males, 1 female

MFF: 1 male, 2 females

MFM: 2 males, 1 female (different order)

FMM: 1 female, 2 males

FFM: 2 females, 1 male

FMF: 2 females, 1 male

FFF: 3 females

If you count all of these possibilities, we have 8 possible cases of family with the childrens.

In only one of them, we have only females and no males, which is the last one, all 3 females.

Therefore, the probability to select a family with no male, is only 1/8.

In the set of all possible sets of genders for three children, which is {MMM, MMF, MFF, FMM, FFM, FMF, MFM, FFF}, the event of having no male children is 'FFF'. As there are 8 possible outcomes in total, the probability of selecting a family with no male children is 1/8, or 0.125.

It seems like there is a typo in your question. It asks about the probability of selecting a family with 'nothing 6 male children', which doesn't quite make sense. However, if the question is to find the probability of selecting a family with no male children, we can certainly answer that. In your given set of outcomes, { MMM, MMF, FFM, MFF, FFM, FMF, FFM, FFF }, there seems to be a mistake as FFM is repeated three times. The correct set of equally likely outcomes for a family with three children should be { MMM, MMF, MFF, FMM, FFM, FMF, MFM, FFF }.

Each outcome is equally likely, hence, the probability of any particular outcome is 1 divided by the total number of outcomes. The total unique outcomes for the genders of three children is 2^3, or 8. The event of having no male child corresponds to the outcome 'FFF'. Since there is only one such outcome, the probability of a family with no male children is 1/8 or 0.125.

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Answer:

0.093 ft/min

Step-by-step explanation:

V = 4/3 π r³

Take derivative with respect to time:

dV/dt = 4π r² dr/dt

Plug in values:

141 = 4π (11)² dr/dt

dr/dt = 141 / (484π)

dr/dt ≈ 0.093

The radius is increasing at 0.093 ft/min.

The increasing rate of the radius is equal to 0.093 ft/min.

Volume is defined as the space occupied by the object in a three-dimensional space. The sphere is the shape of a circular ball.

The volume is calculated by the formula below,

V = 4/3 π r³

Take the derivative with respect to time:

dV/dt = 4π r² dr/dt

Solve the equation for the rate of change of radius of the sphere,

141 = 4π (11)² dr/dt

dr/dt = 141 / (484π)

dr/dt ≈ 0.093

Therefore, the increasing rate of the radius is equal to 0.093 ft/min.

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Answer:

.65

Step-by-step explanation:

Strategy:

In this situation it is much easier to calculate the probability of the event we are looking for (he hits at least one target) by calculating the probability of its complement (he misses every target), and subtracting from 1.

In other words, we can use this strategy:

P(at least one hit)=1-P(miss all 10)

Calculations:

P(at least one hit)

=1-P(miss all 10)

=1-(0.9)^10

≈1-0.349

≈0.65

Answer:

P(at least one hit)≈0.65

I hope this helps!!!

The probability that Brandon will hit at least one of them is 0.65 approx.

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

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

For the considered case, as each hit is independent of each other, and there is either hit or not hit, so this situation can be modeled by binomial distribution.

For this case, we get:

Then, we get: [tex]X \sim B(n=10,p=0.1)[/tex]

The  probability that Brandon will hit at least one of them is written symbolically as:

[tex]P(X \geq 1)[/tex]

We can rewrite it as:

[tex]P(X \geq 1) = 1 - P(X < 1) = 1 - P(X = 0)[/tex]

Using the probability function of binomial distribution, we get:

[tex]P(X \geq 1) = 1 - \: ^{10}C_0(0.1)^0(1-0.1)^{10} = 1 -0.9^{10} \approx 0.65[/tex]

Thus, the probability that Brandon will hit at least one of them is 0.65 approx.

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Answer:

The speed in the first part is 16 mph.

Step-by-step explanation:

The total distance is 48 miles. The total time is 4 hours.

In the second part of the trip, he was traveling at speed s for distance d for 2 hours.

In the first part of the trip he was traveling at twice the speed, or 2s, for distance 48 - d, for 2 hours.

speed = distance/time

distance = speed * time

First part of trip:

48 - d = 2s * 2

d + 4s = 48   Equation 1

Second part of the trip:

d = s * 2

d = 2s    Equation 2

Equations 1 and 2 form a system of equations in two unknowns, d and s.

d + 4s = 48

d = 2s

Substitute 2s for d in equation 1.

2s + 4s = 48

6s = 48

s = 8

The speed in the second part is 8 mph.

The speed in the first part is 2s = 2(8) = 16.

The speed in the first part is 16 mph.

Check:

d = 2s = 2(8) = 16

48 - d = 48 - 16 = 32

The second part is 16 miles. The first part is 32 miles.

16 miles at 8 mph takes 2 hours.

32 miles at 16 mph takes 2 hours.

2 hours + 2 hours = 4 hours.

Our answer is correct.

Answer: The speed in the first part is 16 mph.

Answer:  

The speed in the first part is 16 mph.  

Step-by-step explanation:

The total distance is 48 miles. The total time is 4 hours.  

In the second part of the trip, he was traveling at speed s for distance d for 2 hours.  

In the first part of the trip he was traveling at twice the speed, or 2s, for distance 48 - d, for 2 hours.  

speed = distance/time  

distance = speed * time  

First part of trip:  

48 - d = 2s * 2  

d + 4s = 48   Equation 1  

Second part of the trip:  

d = s * 2  

d = 2s    Equation 2  

Equations 1 and 2 form a system of equations in two unknowns, d and s.  

d + 4s = 48  

d = 2s  

Substitute 2s for d in equation 1.  

2s + 4s = 48  

6s = 48  

s = 8  

The speed in the second part is 8 mph.  

The speed in the first part is 2s = 2(8) = 16.  

The speed in the first part is 16 mph.  

Check:  

d = 2s = 2(8) = 16  

48 - d = 48 - 16 = 32  

The second part is 16 miles. The first part is 32 miles.  

16 miles at 8 mph takes 2 hours.  

32 miles at 16 mph takes 2 hours.  

2 hours + 2 hours = 4 hours.  

Our answer is correct.

Answer: The speed in the first part is 16 mph

Answer:

α = 13.39249775

Step-by-step explanation:

Length of the vamp = 21 ft long

Height of the vamp= 5 ft

using SOHCAHTOA

tanα = opposite /adjacent

Tan α = 5/21

α = arctan(5/21)

α = 13.39249775

Answer:

t=8

Step-by-step explanation:

Subtract 12t from both sides

(12t-12t) + 16 = (13t-12t) + 24

16 = 1t (or just t) + 24

Then subtract 16 from both sides, and bring "t" over the equals sign making it a negative integer.

-t = 8

t = 8

Answer:

D: has asymmetric information.

Step-by-step explanation:

Several phones available in Barylia market are of inferior quality and it is often impossible to differentiate between a good-quality phone and a poor-quality phone.

So, we can conclude that the market for used cell phones in Barylia: has asymmetric information.

Asymmetric information or often called information failure shows the decision in transactions where one market or party has got better information than the others.

Answer:

  (3√2, 1+3√2) ≈ (4.243, 5.243)

Step-by-step explanation:

The line has a slope of 1 and goes through the center of the circle, so will intersect the circle at the point ...

  (6, 6)/√2 +(0, 1) = (3√2, 1+3√2) ≈ (4.243, 5.243)

Answer:9

Step-by-step explanation:

You would count the possible outcomes on the right side of the diagram

The number of possible outcomes is 9.

Given that,

Based on the above information, the calculation is as follows:

From NewYork = 3

From San Francisco = 3

From Miami = 3

Total = 9

Therefore we can conclude that the number of possible outcomes is 9.

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Answer:

25 weeks  will Toby and Marcus have the same number of stamps

Explanation:

No of stamps collected by Toby initially= 10

No of stamps Toby collects  every week= 4

No of stamps Marcus has initially= 60

No of stamps Marcus collects each week=2

Suppose the no of week when Toby and Marcus have the same number of stamps are x

Hence no of stamps collected by Toby after x weeks

=10+4x

No of stamps collected by Marcus after x weeks

=60+2x

Therefore to calculate the same of stamps collected by Toby and Marcus

No of stamps collected by Toby after x weeks= No of stamps collected by Marcus after x weeks

10+4x =60 +2x

4x-2x= 60-10

2x=50

x=25

Hence after 25 weeks Toby and Marcus will have the same number of stamps