In the previous part, we obtained dy dx = 3t2 − 27 −2t . Next, find the points where the tangent to the curve is horizontal. (Enter your answers as a comma-separated list of ordered pairs.)
x = t^3 - 3t, y = t^2 - 4

Answer:

The equilibrium point for the product (x,y) = (50,2300)

Step-by-step explanation:

The equilibrium point refers to the point in the demand and supply curves where we have the quantity demanded equals the quantity supplied at a particular price.

From the question, we can identify the following;

S(x) = 300 + 40x

D(x) = 4300 - 40x

Now, at the equilibrium point, S(x) = D(x)

This means that;

300 + 40x = 4300 -40x

80x = 4300-300

80x = 4000

x = 4000/80 = 50

Now, we input the value of x into any of the equation of the demand and supply to get the quantity.

Let’s use S(x) = 300 + 40x = 300 + 40(50) = 300 + 2000 = 2,300

The equilibrium point for the product (x,y) = (50,2300)

Answer:

  ∠W = 81°

Step-by-step explanation:

Triangle OGD is isosceles, so angle OGD has the same measure as angle ODG, 17°.

Triangle OGF is isosceles, so angle OGF has the same measure as angle OFG, 49°.

Angle DGF is the difference between angle OGF and angle OGD:

  ∠DGF = 49° -17° = 32°

External angle W is equal to the sum of remote internal angles DGF and OFG:

  ∠W = 32° +49°

  ∠W = 81°

Solution,

Diameter=16.8 cm

Radius=16.8/2=8.4 cm

Area of circle=pi r^2

= 3.142*(8.4)^2

=3.142*70.56

=221.69952 cm^2

hope it helps

Good luck on your assignment

Answer:

(b)

Step-by-step explanation:

You can clearly see that putting each factor equal to 0 , we get -6 , -2 , 3

Answer:

1

Step-by-step explanation:

We need to points

(-1,0) and (0,1)

The slope is found by

m= (y2-y1)/(x2-x1)

m = (1-0)/(0- -1)

   = (1-0)/(0+1)

   = 1/1

The slope is 1

Answer:

1

Step-by-step explanation:

The slope is rise/run and can be found by counting how many units up and over you must go from one point on the line to another.

Therefore the answer is

1

Answer:

b) Dependent sample

Step-by-step explanation:

Given:

Sample size, n = 1400

The average sleep of the respondents in weekdays = 6.5 hours

The average sleep of the respondents in weekends = 7.2 hours

% with eight or more hours of sleep on​ weekdays = 20%

% with eight or more hours of sleep on​ weekends = 43%

Required: To Check if the samples on weekdays and weekends are independent or dependent.

When samples are independent, it means one sample does not influence the other and vice versa, while samples are said to be dependent if the outcome of one test influences the outcome of the other. The tests might be from a similar population or from various populations.

In this case, the sample gathered are from similar population because same sample is used for both weekdays and weekends. Therefore, we can say the sample is a paired sample.

The samples on weekdays and weekends are dependent since same people are used, also since sleep on weekdays and sleep on weekends may influence each other.

Answer:

D. It could have a minimum at (0, 4).

Step-by-step explanation:

ax2 + bx + c = 0  has no real solutions, which means it does not touch the x axis

Since it points upwards, the vertex must be above the x axis

It will have a minimum since it opens upwards

A. It could pass through the origin.   False

B. Its vertex could be at (–6, 0).   False

C. It could have a maximum at (–3, 2).   False

D. It could have a minimum at (0, 4).  True

Answer:

Boris height above the ground is 9.428m

Step-by-step explanation:

Boris height above the ground is given by the formula;

H = a cos(bt) + c

Now, we are told that,

a = -15m

b = 2.241 rad/s

t = 3s

c = 23m

Plugging in the relevant values, we have;

H = -15 cos (2.241 * 3) + 23

H = -15 cos(6.723 rad) + 23

cos(6.723rad) = 0.9048

Thus,

H = (-15 × 0.9048) + 23

H = 9.428 m

So boris height above the ground is 9.428m

Answer:

Step-by-step explanation:

Obviously, factors can be written in any order. So, there are multiple answers to this question.

1. x^2 -2x -15 = (x -5)(x +3) . . . . (a, b, c, d) = (1, -5, 1, 3)

__

2. 2x^2 -6x -36 = 2(x^2 -3x -18) = 2(x -6)(x +3) . . . . (a, b, c, d) = (2, -12, 1, 3)

__

3. 4x^2 +10x +4 = 2(2x^2 +5x +2) = 2(2x +1)(x +2) . . . . (a, b, c, d) = (4, 2, 1, 2)

Answer:

a) test statistic, [tex]t_{s} = -4.20[/tex]

b) P-value = 0.0001

c) It can be concluded from the hypothesis that the company's stock has a mean value that is not 7.52 million shares i.e. the mean stock has changed in recent years

Step-by-step explanation:

There are 40 trading days, therefore, sample size, n = 40

Calculate the Sample mean:

[tex]\bar x = \frac{\sum x}{n} \\\bar x = \frac{4.153 +4.6228 + ...+...+5.4563}{40}\\\bar x = 5.5945[/tex]

Get the null and alternative hypothesis:

Null hypothesis, [tex]H_{0} : \mu = 7.52[/tex]

Alternative hypothesis, [tex]H_{a} : \mu \neq 7.52[/tex]

Calculate the sample standard deviation:

[tex]SD = \sqrt{\frac{\sum (x - \bar x)^{2} }{n - 1} } \\SD = \sqrt{\frac{(4.1531-5.5945)^{2} + (4.6228-5.5945)^{2}+...+ (5.4563-5.5945)^{2}}{39} } \\SD = \sqrt{\frac{327.6161}{39} } \\SD = 2.8983[/tex]

a) Calculate the test statistic:

[tex]t_{s} = \frac{\bar{x} - \mu}{SD/\sqrt{n} } \\t_{s} = \frac{5.5945 -7.52}{2.8983/\sqrt{40} }\\t_{s} = -4.20[/tex]

b) Calculate the P-value

Getting the P-value using the excel function:

P-value = (=T.DIST.2T(|ts|, df))

P-value = (=T.DIST.2T(4.20, 39))

P-value = 0.0001

c) If the level of significance, [tex]\alpha = 0.05[/tex]

The P-value (0.0001) < α(0.05), the null hypothesis is rejected.

It can therefore be concluded from the hypothesis that the company's stock has a mean value that is not 7.52 million shares i.e. the mean stock has changed in recent years

Answer:

80cm

Step-by-step explanation:

i worked it out like this

2x4=8

then that means

20x4=80

Answer:

80 is the answer

Answer:

a idk

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

There are 2000000 people out of town and 4000000 people in total.

Solution for 2000000 is what percent of 40000000:

2000000:40000000*100 =

(2000000*100):40000000 =  

200000000:40000000 = 5

Now we have: 2000000 is what percent of 40000000 = 5  

Question: 2000000 is what percent of 40000000?

Percentage solution with steps:

Step 1: We make the assumption that 40000000 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100%= 40000000.

Step 4: In the same vein, x%=2000000.

Step 5: This gives us a pair of simple equations:

100%=40000000(1).

x%=2000000(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100%/x%=40000000/2000000

Step 7: Taking the inverse (or reciprocal) of both sides.

⇒ x=5%

Therefore, 2000000 is 5% of 40000000.

I hope that answers your question and plz mark me brainliest!

Answer:

6.3 ft

Step-by-step explanation:

The perimeter of a parallelogram is given by

P = 2(l+w)

49.6 = 2 (18.5 +t)

Divide by 2

49.6/2 = 2/2 (18.5 +t)

24.8 = 18.5+t

Subtract 18.5

24.8-18.5 = t

6.3 = t

Answer:

It will take 1.47 hours for the horse and clown to collide

Step-by-step explanation:

They are driving toward each other, in opposite directions.

So to find their speed of approximation, we add their speeds.

19 mph + 15 mph = 34 mph.

This means that each hour, they are 34 miles closer.

How long it takes for them to find each other if they are 50 miles apart?

1 hour - 34 miles

x hours - 50 miles

[tex]34x = 50[/tex]

[tex]x = \frac{50}{34}[/tex]

[tex]x = 1.47[/tex]

It will take 1.47 hours for the horse and clown to collide

6y+4−3y−7=3(y−1)

Opening the bracket we notice that it will yield same thing for both sides of the equation.

There is only one way to solve the equation because it's clear that y = 0

So it's by opening the bracket.

So the value for y is equal to zero

Answer:

a) Experiment

b) Proportion of subjects infected. Quantitative

c) Null hypothesis failed to be rejected. P-value=0.101.

There is not enough evidence to support the claim that the RV infection rate of subjects using hand sanitizer is significantly lower.

d) The  95% confidence interval for the difference between proportions is (-0.223, 0.047).

As we can see, the value 0 (meaning no difference between the proportions) is included in the interval. This can be interpreted the sam wat that the hypothesis test: at 95% confidence, we can not assurre that there is significant difference between the proportions.

Step-by-step explanation:

a) This is an experiment, as the groups are designed by the researcher. The individuals are then asigned randomly to one of both groups.

b) The response variable is the proportion of subjects infected. This variable is quantitative, as is a sum of positive cases divided by the total amount of subjects in the group.

c) This is a hypothesis test for the difference between proportions.

The claim is that the RV infection rate of subjects using hand sanitizer is significantly lower.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0[/tex]

The significance level is 0.05.

The sample 1 (HL+ group), of size n1=116 has a proportion of p1=0.4224.

[tex]p_1=X_1/n_1=49/116=0.4224[/tex]

The sample 2 (Control group), of size n2=96 has a proportion of p2=0.5104.

[tex]p_2=X_2/n_2=49/96=0.5104[/tex]

The difference between proportions is (p1-p2)=-0.088.

[tex]p_d=p_1-p_2=0.4224-0.5104=-0.088[/tex]

The pooled proportion, needed to calculate the standard error, is:

[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{49+49}{116+96}=\dfrac{98}{212}=0.4623[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.4623*0.5377}{116}+\dfrac{0.4623*0.5377}{96}}\\\\\\s_{p1-p2}=\sqrt{0.0021+0.0026}=\sqrt{0.0047}=0.0688[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.088-0}{0.0688}=\dfrac{-0.088}{0.0688}=-1.28[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

[tex]P-value=P(z<-1.28)=0.101[/tex]

As the P-value (0.101) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the RV infection rate of subjects using hand sanitizer is significantly lower.

d) We want to calculate the bounds of a 95% confidence interval.

For a 95% CI, the critical value for z is z=1.96.

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.4623*0.5377}{116}+\dfrac{0.4623*0.5377}{96}}\\\\\\s_{p1-p2}=\sqrt{0.0021+0.0026}=\sqrt{0.0047}=0.0688[/tex]

Then, the margin of error is:

[tex]MOE=z \cdot s_{p1-p2}=1.96\cdot 0.0688=0.1348[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.088-0.1348=-0.223\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.088+0.1348=0.047[/tex]

The  95% confidence interval for the difference between proportions is (-0.223, 0.047).

As we can see, the value 0 (meaning no difference between the proportions) is included in the interval. This can be interpreted the sam wat that the hypothesis test: at 95% confidence, we can not assurre that there is significant difference between the proportions.

Answer:

1/2 h or 30 min

Step-by-step explanation:

2 h * 1/4 = 2/4 = 1/2 h or 30 min

Answer:

49.97% probability of getting one child of each sex

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they are a boy, or they are a girl. The sex of a children is independent of other children, so we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The probability that a couple’s first child is a boy is 0.512.

This means that [tex]p = 0.512[/tex]

The will have two children:

This means that [tex]n = 2[/tex]

(a) What is the probability of getting one child of each sex?

This is P(X = 1).

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

[tex]P(X = 1) = C_{2,1}.(0.512)^{1}.(0.488)^{1} = 0.4997[/tex]

49.97% probability of getting one child of each sex

Answer:

41.41°  

Step-by-step explanation:

In ∆ABC below, the legs are 4 and the base is 6.

So, the legs are ⅔ the length of the base.

In ∆CBD,

cosB = BD/BC = 3/4 = 0.75

B = arccos 0.75 = 41.41°

The base angles are each 41.41°

The measure should be 41.41°  

Since In ∆ABC , the legs should be 4 and the base should be 6.

Now

the legs are two-third the length of the base.

Also,

In ∆CBD,

cosB [tex]= BD\div BC = 3\div 4 = 0.75[/tex]

So,

B = arccos 0.75 = 41.41°

Therefore, we can concluded that The base angles are each 41.41°

Learn more about length here: https://brainly.com/question/3385843

Answer:

the prime factorization of 18 is 2 times 3 and 1 time two

Step-by-step explanation:

Factorization refers to the process by which we decompose a number in its prime factors, in other words, we express the number as a multiplication of prime numbers.

In this case we have the number 18:

18= 9 x 2, however, 9 is not a prime number so we are going to factor the 9.

18= 3 x 3 x 2.

Now we see that all our factors are prime and thus this is the factorization of 18.

Thus, the prime factorization of 18 is 2 times 3 and 1 time two

Answer:

A

enginuity2020

Answer:

The total amount in 7 years is: $958.62

Step-by-step explanation:

Recall the formula for compound interest:

[tex]A=P\,(1+\frac{r}{n} )^{n\,t}[/tex]

where:

A is the Accrued value (total in the account including accumulated interest), and in our case the unknown.

P is the Principal (amount initially deposited), and in our case $700.

r is the annual percent rate (but in decimal form) in our case 0.045

n is the number of compoundings done per year, and in our case 12 since it is compounded monthly

t is the time in years of the deposit.

Then the formula becomes:

[tex]A=P\,(1+\frac{r}{n} )^{n\,t}\\A=700\,(1+\frac{0.045}{12} )^{12\,*\,7}\\A=958.61657[/tex]

which can be rounded to the cents: $958.62

Answer:

(a) The average baggage-related revenue per passenger is $15.70.

(b) The standard deviation of baggage-related revenue is $19.95.

(c) The expected revenue for 120 passengers is $1,884.

Step-by-step explanation:

Let the random variable X represent the baggage-related revenue per passenger.

It is provided that the baggage fees is $25 for the first bag and $35 for the second.

The probability model is:

    X :   0         25      60

P (X) : 0.54    0.34    0.12

(a)

Compute the average baggage-related revenue per passenger as follows:

[tex]E(X)=\sum {X\times P (X)}[/tex]

         [tex]=(0\times 0.54)+(25\times 0.34)+(60\times 0.12)\\\\=0+8.50+7.20\\\\=15.70[/tex]

Thus, the average baggage-related revenue per passenger is $15.70.

(b)

Compute the standard deviation of baggage-related revenue as follows:

[tex]E (X^{2})=\sum X^{2}\times P(X)}\\\\=(0^{2}\times 0.54)+(25^{2}\times 0.34)+(60^{2}\times 0.12)\\\\=0+212.50+432\\\\=644.5\\[/tex]

[tex]SD(X)=\sqrt{E(X^{2})-(E(X))^{2}}[/tex]

           [tex]=\sqrt{644.5-(15.7)^{2}}\\\\=19.950188\\\\\approx 19.95[/tex]

Thus, the standard deviation of baggage-related revenue is $19.95.

(c)

Compute the expected revenue for 120 passengers as follows:

[tex]E(R)=n\times E(X)[/tex]

        [tex]=120\times 15.7\\\\=1884[/tex]

Thus, the expected revenue for 120 passengers is $1,884.

Answer:

3

Step-by-step explanation:

1+1= 2 + -2=0 + 3 = 3

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex](1 + 1 -2 +3)[/tex]

[tex]1+1-2+3[/tex]

[tex]2+1[/tex]

[tex]=3[/tex]

Answer:

The amount to be paid for 2 kilograms of oranges is 3.0 TL.

Step-by-step explanation:

The total amount of oranges to be bought is, Q = 2 kilograms.

The cost of 1 kilogram of oranges is, C = 1.5 TL.

Compute the cost of 2 kilograms of oranges as follows:

Total cost = Q × C

                [tex]=2\times 1.5\ \text{TL}\\\\=3.0\ \text{TL}[/tex]

Thus, the amount to be paid for 2 kilograms of oranges is 3.0 TL.

Answer:

if x=ky, where k is constant.

value of x

45/3=k3/3

15=k, constant is 15

value of x when y =6

x=ky

x=15(6)

x=80

Answer:

16/25

Step-by-step explanation:

4/10=40/100

24/100=24/100

40+24=64

64/100

16/25

Answer:

16/25

Step-by-step explanation:

Answer:

Correct option: first one

"StartFraction P minus 2 l Over 2 EndFraction = w"

Step-by-step explanation:

First we start from the perimeter equation:

P = 2*l + 2*w

Then, we need to solve for w, so we need to isolate it.

The first step is subtracting 2*l from both sides of the equation:

P - 2*l = 2*w

Then, we divide both sides by 2:

w = (P - 2l) / 2

So the correct option is the first one:

"StartFraction P minus 2 l Over 2 EndFraction = w"

Answer:

Its the first one

Step-by-step explanation:

i got it right on edge