Health insurers are beginning to offer telemedicine services online that replace the common office visit. A company provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments. The company claims that users of its online service saved a significant amount of money on a typical visit. The data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by the company.

92 34 40
105 83 55
56 49 40
76 48 96
93 74 73
78 93 100
53 82

Required:
Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings for a televisit to the doctor as opposed to an office visit.

Answer:

Grandma baked 72 cakes

Step-by-step explanation:

Let x=biscuits cake baked by grandma

1/4x=chocolate

1/3x=nuts

1/4+1/3=3+4/12

=7/12x

Remaining

X-7/12x

=12-7x/12

=5/12x

1/2 of 5/12x=fruit

5/24x =fruit

Remaining

5/12x-5/24x=15

10-5/24x=15

5/24x=15

x=15÷5/24

=15*24/5

=360/5

=72

x=72 cakes

Grandma baked 72 cakes

Answer: 60

Step-by-step explanation:

so the first thing is 1/4 of the whole thing is gone. Then a third of the now 3/4 is another 1/4 which makes 1/2. A 1/2 of 1/2 is a 1/4 which means the last 1/4 is 15. Then do 15*4 to get your answer.

Answer:

3/2

Step-by-step explanation:

We can find the slope of this line by using two points

(1,-3) and (3,0)

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

    = (0- -3)/(3 -1)

    = (0+3)/(3-1)

    = 3/2

Answer:

45 premium tickets were sold

Step-by-step explanation:

p = premium

d = deluxe

r = regular

p+d+r = 273

6p+4d + 2r = 836

118+d = r

Replace r with 118+d

p+d+118+d = 273

p +2d = 273-118

p+2d = 155

6p+4d + 2(118+d) = 836

6p+4d + 236+2d = 836

6p +6d = 836-236

6p + 6d = 600

Divide by 6

p+d = 100

d = 100-p

Replace d in p +2d= 155

p +2(100-p) = 155

p+200-2p = 155

-p = 155-200

-p =-45

p =45

45 premium tickets were sold

Answer:

Step-by-step explanation

We get three linear equations from the information given, where

p= number of premium tickets

d = number of deluxe tickets

r = number of regular tickets:

[tex]\left \{ {{p+d+r=273} \atop \\{6p+4d+2r=836} \right.[/tex]

and the applying third r=118+d, we get

[tex]\left \{ {p+d+118+d=273} \atop {6p+4d+2d+236=836}} \right.[/tex]

[tex]\left \{ {{p+2d=115} \atop {6p+6d=600}} \right.[/tex]

Now we get from the upper one

p=115-2d

solving the another equation gives us

6*115-12d+6d=600,

hence d=15

and by replacing

p=115-2*15=85.

85 premium tickets were sold

Answer:

work is shown and pictured

Answer:

(-2, 13)

Step-by-step explanation:

Or b on edge

Answer:

First option: 3

Step-by-step explanation:

To solve for side 'a', use the Pythagorean Theorem

a² + b² = c²

where "c" is always the longest side called the hypotenuse,

"a" and "b" are the two shorter sides called legs.

Substitute c = 5 (hypotenuse) and b = 4

a² + b² = c²

a² + (4)² = (5)²

Square the numbers you know

a² + 16 = 25

Subtract 16 on both sides to isolate 'a'

a² = 25 - 16

a² = 9

Find the square root on both sides

a = √9

a = 3

The answer is option A. ( i.e 3)... answer.

Answer:

12

Step-by-step explanation:

Given:

Let the number be x.

According to the question,

8(x-6)= 4 x

8 x-48=4 x

8 x-4 x= 48

4 x=48

x=48/4

x=12

Thank you!

Answer:

The coordinates of the point on a circle with radius 4 at an angle of [tex]\frac{2\pi}{3}[/tex] radians are x = -2 and y = 3.464.

Step-by-step explanation:

This problem ask us to determine the rectangular coordinates from polar coordinates. The polar coordinates of the point in rectangular form is expressed by the following expression:

[tex](x,y) = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]

Where [tex]r[/tex] and [tex]\theta[/tex] are the radius of the circle and the angle of inclination of the point with respect to horizontal, measured in radians. If [tex]r = 4[/tex] and [tex]\theta = \frac{2\pi}{3}\,rad[/tex], the coordinates of the point are:

[tex](x,y) = \left(4\cdot \cos \frac{2\pi}{3},4\cdot \sin \frac{2\pi}{3} \right)[/tex]

[tex](x,y) = (-2, 3.464)[/tex]

The coordinates of the point on a circle with radius 4 at an angle of [tex]\frac{2\pi}{3}[/tex] radians are x = -2 and y = 3.464.

a) $36.

b) $44.

- I hope this helps.

Complete Question

The complete question is shown on the first and second uploaded image

Answer:

The  marginal density function of Y is  [tex]f(y)= \frac{e^{\frac{-y}{10} }}{10}[/tex]

The distribution is exponential distribution

and the expected value is[tex]E[Y] = 10[/tex]

Step-by-step explanation:

From the question we are told that the function is  

       [tex]f(x,y) = \frac{e^{-\frac{y}{10} }}{10y} \ \ \ 0< y <x<2y[/tex]

Now the marginal density function of Y i.e f(y) is mathematically evaluated by obtaining the probability density function of y as follows

           [tex]= \int\limits^{2y}_{y} { \frac{e^{\frac{-y}{10} }}{10y} } \, dx[/tex]

            [tex]= \frac{e^{\frac{-y}{10} }}{10y} * (2y - y )[/tex]

          [tex]= \frac{e^{\frac{-y}{10} }}{10}[/tex]

The distribution of the function above is exponential distribution with a rate parameter equals to  

            [tex]\lambda = \frac{1}{10}[/tex]

  The mean DOT estimate E{Y} is mathematically evaluated as

           [tex]E[Y] = \frac{1}{\lambda}[/tex]

    substituting value

            [tex]E[Y] = \frac{1}{\frac{1}{10} }[/tex]

             [tex]E[Y] =10[/tex]

Answer: x = 6.5

Step-by-step explanation:

[tex]7x-14=3x+12\\\\Add(14)\\\\7x=3x+26\\\\Subtract(3x)\\\\4x=26\\\\Divide(4)\\\\x=6.5[/tex]

Hope it helps <3

Answer:

x=26/4 (simply to 13/2)

Step-by-step explanation:

Add 14 to both sides to cancel out the negative 14

7x=3x+26

Subtract 3x from both sides to cancel the 3x

4x=26

x=26/4 or 13/2

Answer:

Answer is below.

Step-by-step explanation:

Points R, S, T, Q on Circle O - Given

m (arc) RS + m (arc) ST = m (arc) RT , m (arc) RT + m (arc) TQ = m (arc) RQ - Arc addition

m (arc) RS + m (arc) ST + m (arc) TQ = m (arc) RQ - Substitution

Hope this helps.

The proofing is as follows:

Given that,

Now

m (arc) RS + m (arc) ST = m (arc) RT , m (arc) RT + m (arc) TQ = m (arc) RQ - Arc addition

And,

m (arc) RS + m (arc) ST + m (arc) TQ = m (arc) RQ - Substitution

learn more: https://brainly.com/question/7695753?referrer=searchResults

Answer:

Step-by-step explanation:

Hello friend

The answer is 5:15 in 12 hour clock

Answer:

5:15 PM

Step-by-step explanation:

12:00 + 5:00

17:00 in 12 hour clock is 5:00 PM.

15 minutes + 5:00 PM

⇒ 5:15 PM

Answer:

(a) [tex]\frac{1}{13}[/tex]

(b) [tex]\frac{3}{13}[/tex]

(c) [tex]\frac{10}{13}[/tex]

Step-by-step explanation:

The probability of an event B occurring is given by;

P(B) =  [tex]\frac{n(E)}{n(S)}[/tex]

Where;

P(B) = probability of the event B

n(E) = number of favourable outcomes

n(S) = total number of events in the sampled space.

From the question, the card is drawn randomly from a standard 52-card deck. The probability of

(a) drawing a "king" card is analyzed as follows.

Let the event of drawing the "king" card be B.

In a standard 52-card deck, the number of cards that are of type king is 4. i.e 1 from the diamond pack, 1 from the spade pack, 1 from the heart pack and 1 from the club pack.

Therefore, the number of favourable outcomes is 4, while the total number of events in the sampled space is 52.

The probability of drawing a "king" card, P(B) is;

P(B) = [tex]\frac{4}{52}[/tex]

P(B) = [tex]\frac{1}{13}[/tex]

(b) drawing a "face" card is analyzed as follows.

Let the event of drawing the "face" card be B.

In a standard 52-card deck, a face card can either be a Jack, Queen or a King. There are 4 Jack cards, 4 Queen cards and 4 King cards in the deck.  The number of cards that are of type face is 12.

Therefore, the number of favourable outcomes is 12, while the total number of events in the sampled space is 52.

The probability of drawing a "face" card, P(B) is;

P(B) = [tex]\frac{12}{52}[/tex]

P(B) = [tex]\frac{3}{13}[/tex]

(c) drawing a card that is not a "face" is analyzed as follows;

The sum of the probability of drawing a face card and the probability of not drawing a face card is always 1.

Let the event of drawing a "face" card be B and the event of not drawing a "face" card be C.

P(B) + P(C) = 1

P(C) = 1 - P(B)

From (b) above, the P(B) = [tex]\frac{3}{13}[/tex]

Therefore,

P(C) = 1 - [tex]\frac{3}{13}[/tex]

P(C) = [tex]\frac{10}{13}[/tex]

Answer: a) 503.2m

b) 621.6m

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo.

A represents her starting point.

CD = x = how far east she is from her starting point

BC = y = how far south she is from her starting point

Angle BAC = 180 - 129 = 51°

Angle ACD = angle BAC = 51° because they are alternate angles

To determine x, we would apply the cosine trigonometric ratio

Cos 51 = x /800

x = 800Cos51 = 800 × 0.629 = 503.2m

To determine y, we would apply the sine trigonometric ratio

Sin 51 = y /800

y = 800Sin51 = 800 × 0.777 = 621.6m

Answer:

6/5, 7/6

Step-by-step explanation:

The nth term is (n+1)/n

2/1, 3/2, 4/3, 5/4

Put n as 5 and 6.

(5+1)/5

= 6/5

(6+1)/6

= 7/6

Answer:

E. The parameter is μmale - μfemale and the statistic is xmale - xfemale.

Step-by-step explanation:

The sample statistic is a piece of information about the individuals or objects that were selected from a given population. The sample is just a fraction of the total population. Since it is a herculean task studying an entire population, the sample forms a manageable size that allows us to have an insight into the entire population. The sample statistics are now the piece of information about the sample being studied such as the average, mean, median, or mode.  The sample statistics have to be as specific as possible of the factors being measured. In the question, we would have to obtain the mean of both the male and female genders. This gives us an insight into the population under study.

The parameter, on the other hand, is a description of the entire population being studied. For example, we might want to determine the population mean. That is the factor we seek to measure. It is represented by the sign mu (μ).  

Answer:

y=4x+9

Step-by-step explanation:

replace m with 4, which is the slope you gave, and

replace b with 9, the y-intercept you gave,

in the equation y=mx+b.

Answer:

c) Both receive the same push

Step-by-step explanation:

The buoyancy force is equal to the weight of the displaced fluid:

B = ρVg

where ρ is the density of the water, V is the volume of displaced water, and g is the acceleration due to gravity.

Since both spheres displace the same amount of water, they have equal buoyancy forces.

Answer:

-3313

Step-by-step explanation:

3x^5 + 4x^3 - x +11

Put x as -4 and evaluate.

3(-4)^5 + 4(-4)^3 - (-4) + 11

-3072 + - 256 + 4 + 11

= -3313

Given:

The lengths of the rectangle have been measured to the nearest tenth of a centimetre 87.3 and 51.8  

To find:

the upper bound for the area of the rectangle

Solution:

From given, we have,

The length of the rectangle = l = 87.3 cm

The breadth of the rectangle = b = 51.8 cm

Area of the rectangle = lb = 87.3 × 51.8 = 4522.14 cm²

The upper bound for the area of the rectangle = 4522.14 + 100/2 = 4522.14 + 50 = 4572.14 cm²

Answer:

-12

Step-by-step explanation:

Edge 2021

Answer:

Step-by-step explanation:

log(x²+8)=1+log(x)

log(x²+8)-log(x)=1

[tex]log\frac{x^2+8}{x} =1\\\frac{x^2+8}{x} =10^1\\x^2+8=10x\\x^2-10x+8=0\\x=\frac{10 \pm \sqrt{(-10)^2-4*1*8} }{2} \\=\frac{10 \pm \sqrt{100-32} }{2} \\=\frac{10 \pm \sqrt{68} }{2} \\=\frac{10 \pm 2\sqrt{17} }{2} \\=5 \pm \sqrt{17}[/tex]

Answer: up to 999

Step-by-step explanation: Now, if you consider repetition allowed, all the numbers from 100 to 999 are 3 digit numbers. How many numbers are formed ? count numbers starting from 100 up to 999. Hence, 900 numbers are formed.

Answer:

Quad 1

Step-by-step explanation:

Answer:

Stella

Step-by-step explanation:

I guessed and got it right

Answer:

Option B

Step-by-step explanation:

First identify which options are a match for the hyperbola with a foci of (- 12, 6) and ( 6, 6 ). If there is only one, we can claim that that is the solution. Otherwise we would have to take the vertices into account,

The first option can be eliminated as it is present with a decimal in the denominator, indicating that the foci should also be a decimal. However, the foci of this option should be valuable to us -

[tex]\left(h+c,\:k\right),\:\left(h-c,\:k\right),\\\left(-3+c,\:6\right),\:\left(-3-c,\:6\right),\\c = ( About ) 3.6,\\\\Foci = \left(0.55808 ,\:6\right),\:\left(-6.55808,\:6\right)[/tex]

The second option squares the denominators of the first option, so the foci should be the following -

[tex]Foci = ( - 12, 6 ), ( 6, 6 )[/tex]

Which is the given! The rest of the options are similar to this second option, but are altered, thus don't have the same foci,

Solution = Option B

Answer:

[tex]\± \sqrt{x + 7}[/tex]

Step-by-step explanation:

y = x² - 7

Add 7 to both sides.

y + 7 = x²

Take square root on both sides.

±√(y +  7) = x

Switch variables.

±√(x + 7) = y

Answer:

The correct options are (1), (3) and (5).

Step-by-step explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

[tex]\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}[/tex]

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).

Answer:

I think it's the first, third, and fifth options.

Step-by-step explanation:

I hope this helps.

Answer:

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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.

In this question, we have that:

[tex]\mu = 200, \sigma = 50[/tex]

Find the probability that he weighs between 170 and 220 pounds.

This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.

X = 220

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

[tex]Z = \frac{220 - 200}{50}[/tex]

[tex]Z = 0.4[/tex]

[tex]Z = 0.4[/tex] has a pvalue of 0.6554

X = 170

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

[tex]Z = \frac{170 - 200}{50}[/tex]

[tex]Z = -0.6[/tex]

[tex]Z = -0.6[/tex] has a pvalue of 0.2743

0.6554 - 0.2743 = 0.3811

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.