I NEED HELP PLEASE, THANKS! :)

Answer:

[tex]\text {CI} = (60.54, \: 81.46)\\\\[/tex]

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

Step-by-step explanation:

Let us find out the mean savings for a televisit to the doctor from the given data.

Using Excel,

=AVERAGE(number1, number2,....)

The mean is found to be

[tex]\bar{x} = \$71[/tex]  

Let us find out the standard deviation of savings for a televisit to the doctor from the given data.

Using Excel,

=STDEV(number1, number2,....)

The standard deviation is found to be

 [tex]s = \$ 22.35[/tex]

The confidence interval is given by

[tex]\text {confidence interval} = \bar{x} \pm MoE\\\\[/tex]

Where the margin of error is given by

[tex]$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\[/tex]

Where n is the sample of 20 online doctor visits, s is the sample standard deviation and [tex]t_{\alpha/2}[/tex] is the t-score corresponding to a 95% confidence level.

The t-score is given by is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 20 - 1 = 19

From the t-table at α = 0.025 and DoF = 19

t-score = 2.093

So, the margin of error is

[tex]MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\MoE = 2.093\cdot \frac{22.35}{\sqrt{20} } \\\\MoE = 2.093\cdot 4.997\\\\MoE = 10.46\\\\[/tex]

So the required 95% confidence interval is

[tex]\text {CI} = \bar{x} \pm MoE\\\\\text {CI} = 71 \pm 10.46\\\\\text {CI} = 71 - 10.46, \: 71 + 10.46\\\\\text {CI} = (60.54, \: 81.46)\\\\[/tex]

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

Answer:

True

Step-by-step explanation:

15/7 is about 2.14 which is less than 3

Answer:

[tex]3x + 6y = 1200[/tex] is the correct linear equation.

Step-by-step explanation:

Given:

Time taken to manufacture an office chair = 3 hours

Number of office chairs produced = [tex]x[/tex]

Time taken to manufacture an office desk = 6 hours

Number of office desks produced = [tex]y[/tex]

Let us calculate, Total Time taken to manufacture [tex]x[/tex] chairs.

Suppose we manufacture 2 chairs, time taken = 3 hours + 3 hours i.e. = 6 hours

Suppose we manufacture 3 chairs, time taken = 3 hours + 3 hours + 3 hours i.e. = 9 hours

Now, we are manufacturing [tex]x[/tex] number of chairs so we have to add 3 for [tex]x[/tex] number of times:

OR

simply multiply 3 with [tex]x[/tex].

i.e. Total time taken in producing [tex]x[/tex] chairs = 3[tex]x[/tex] hours

Similarly Total time taken in producing [tex]y[/tex] desks = 6[tex]y[/tex] hours

We have a total of 1200 hours to produce this type of office chairs and desks:

So, 1200 = Total time taken in producing [tex]x[/tex] chairs + Total time taken in producing [tex]y[/tex] desks

Putting the values, we get the following:

[tex]3x+6y=1200[/tex] is the correct linear equation for the situation.

Answer:

82.25%

Step-by-step explanation:

95*0.2 + 80*0.2 + 75*0.45 + 90*0.15 = 82.25%

Answer: See below

*Note: I was not sure is -4² was -4² or (-4)². I have done the problem both ways. You should see the problem you are supposed to solve by looking at the 2 different equations below.

Step-by-step explanation:

The problem states -4²+(5-2)(-6). Now, this can be interpreted in another way. The key is the -4². This can also be (-4)². You get a completely different answer. Since the problem seemed like the first option, I will still do it both ways to make sure you can see the difference. If you meant (-4)², then you would still get an explanation.

-4²+(5-2)(-6)

-16+(3)(-6)

-16+(-18)

-34

_________________________________________________________

(-4)²+(5-2)(-6)

16+(3)(-6)

16+(-18)

-2

As you can see, both answers are very different. The -4 matters whether there are parentheses or not.

Answer:

width = 8 inches; length = 13 inches

Step-by-step explanation:

(x + 5)x = 104

x^2 + 5x - 104 = 0

(x - 8)(x + 13) = 0

x - 8 = 0 or x + 13 = 0

x = 8 or x = -13

Since the width of a rectangle cannot be a negative number, we discard the answer x = -13.

x = 8

The width is 8 inches.

The length is 8 + 5 = 13.

The length is 13 inches.

Answer:

f(5) = 17

Step-by-step explanation:

Pretty easy :)

just pluggin f(5).

f(5) = 3(5) + 2

f(5) = 15+2

f(5) = 17.

:)

Answer:

2 miles per hour

Step-by-step explanation:

We want to take the miles and divide by the hours

1 1/2 ÷ 3/4

Changing to an improper fraction

3/2÷3/4

Copy dot flip

3/2 * 4/3

3/3 * 4/2

2

2 miles per hour

The correct answer is A. The 200 randomly selected students

Explanation:

In most studies, the complete population is not surveyed or studied instead, a specific number of individuals are selected, this group is known as the sample. Additionally, the sample represents the population, and due to this, their answers are used to make inferences about all the population.

According to this, the population is all the students in the school, while the sample is the 200 randomly selected students because this is the group that is going to be studied to make conclusions and inferences about all the population.

Answer:

(a)

Step-by-step explanation:

Answer:

1/81.

Step-by-step explanation:

3^-4 = 1 /3^4

= 1/81.

Step-by-step explanation:

here,

C={ a,b,x,y}

D ={ m,n,o,p}

now,

C union D ={a,b,x,y} union {m,n,o,p}

= {a,b,x,y,m,n,o,p}

therefore C union D ={ a,b,x,y,m,n,o,p}

hope u get it...

-3(h+5) + 2 = 4(h+6) -9

-3h-5 + 2 = 4h+24 -9

-3h-4h = 24-9+5-2

-7h = 18

h = -18 = -2.57

7

Hi! So, the one that doesn't belong is a) y = 4x.

I think that this doesn't belong because every other option has a number after the variable (I forget the exact term for it but it's like +7, +4, and -1 for the rest of the options)

Please let me know how I can further help you :)

(

Answer:

I think the answer is y = -2x + 4 because that is the only one that has a negative slope. The other choices all have positive slopes.

Answer:

7

Step-by-step explanation:

1/7+1/3= 3/21+7/21= 10/21= 0.476190

the 6 digits after the decimal point get repeated

6*3= 18- three full cycles and the second digit after 3 cycles = 7 so the 20th digit is 7

This person was correct.

Answer:

7

Step-by-step explanation:

1/7+1/3= 3/21+7/21= 10/21= 0.476190

the 6 digits after the decimal point get repeated

6*3= 18- three full cycles and the second digit after 3 cycles = 7 so the 20th digit is 7

Answer:

4.1 calls

Step-by-step explanation:

The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:

[tex]c(s)=0.8s+0.29[/tex]

Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:

[tex]c(4.7)=0.8*4.7+0.29\\c(4.7)=4.05\ calls[/tex]

Rounding to the nearest tenth, Roger will get about 4.1 calls.

Answer:

-21

Step-by-step explanation:

3×(-7) = - 21

Three times minus seven equals minus twenty one.

Answer:

Step-by-step explanation:

y = -7

3y = 3 * -7

   = (-21)

Answer:

he can make 15 combinations  

Step-by-step explanation:

Answer:

2,022,456 committees

Step-by-step explanation:

From the above question, we are given the following information:

Number of women = 20

Number of men = 17

In order to form a committee of six members with at least 2 men, the number of ways we can do this is 5 ways and they are:

a) A committee of 6 men

b) A committee of 5 men and 1 woman

c) A committee of 4 men and 2 women

d) A committee of 3 men and 3 women

e) A committee of 2 men and 4 women

To solve for this we use the combination formula which is given as:

C(n, r) = nCr = n!/r!(n - r)!

Hence, the number of committees that are possible if the committee must have at least two men is calculated as

A committee of 6 men or A committee of 5 men and 1 woman or A committee of 4 men and 2 women or A committee of 3 men and 3 women or A committee of 2 men and 4 women

=[C(17, 6)]+ [C(17,5) × C(20,1)] + [C(17,4) × C(20,2)] + [C(17,3) × C(20,3)] + [C(17,2) × C(20,4)]

= [17!/6!(17 - 6)!] + [17!/5!(17 - 5)! × 20!/1!(20 - 1)!] + [17!/4!(17 - 4)! × 20!/2!(20 - 2)!] + [17!/3!(17 - 3)! × 20!/3!(20 - 3)!] + [17!/2!(17 - 2)! × 20!/4!(20 - 4)!]

= [12376] + [ 6188 × 20] + [2380 × 190] + [680 × 1140] + [ 136 ×4845]

= 2,022,456 committees

Answer:

4

Step-by-step explanation:

8×5÷10

PEMDAS says multiply and divide from left to right

40÷10

4

Answer:

4

Step-by-step explanation:

Follow the PEMDAS order of operations

8*5=40

40÷10=4

=4

OR

8x5÷10

8x0.5=4

=4

Have a good day and stay safe!

Answer:

Experiment

Time..

Step-by-step explanation:

It is an experimental study. An experimental study is a type of study in which all conditions are under the control of the researcher.

The control factor in this case may includes the time...before measurements.

Here we must answer different things about the experiment that the farmer performed. We will see that this is an experiment and the controlled factors are:

What he did is divide his land in two equal parts, and then use different types of seeds in each one of the two parts.

After 3 months, he measures the height of the crops.

The questions are:

Is the study observational or experimental?

It is experimental, because the farmer assigned two areas and he decided what type of seed went into each area.

If it is an experiment, what are the controlled factor?

The controlled factors are the things that are the same for both of the groups of sections and that are relevant for the growth of the seeds. These things are:

If you want to learn more about experiments, you can read:

https://brainly.com/question/11256472

Answer:

2 ft by 6

Step-by-step explanation:

The dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Since, the area of a rectangle is:

Area = length x width

We know that the area of the table is 12 square feet,

So, we can write:

12 = length x width

And, use the formula for the perimeter of a rectangle:

Perimeter = 2 x length + 2 x width

We know that the perimeter of the table is 16 feet, so we can write:

16 = 2 x length + 2 x width

Now we have two equations with two variables (length and width), which we can solve simultaneously as.

Let's rearrange the second equation to solve for length:

16 = 2 x length + 2 x width

16 - 2 x width = 2 x length

8 - width = length

Now we can substitute this expression for length into the first equation:

12 = length x width

12 = (8 - width) x width

12 = 8w - w²

We can rearrange this equation into standard quadratic form:

w² - 8w + 12 = 0

Now we can use the quadratic formula:

where a = 1, b = -8, and c = 12

w = (-(-8) ± √((-8)² - 4(1)(12))) / 2(1)

w = (8 ± √(16)) / 2

w = 4 ± 2

Hence, w = 2

w = 6

So the possible values for the width are 2 and 6.

If the width is 2 feet, then the length is:

length = 8 - width = 6 feet

If the width is 6 feet, then the length is:

length = 8 - width = 2 feet

Therefore, the dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

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Answer:

100%

Step-by-step explanation:

First, let's determine the probability for each of the conditions.

For P(greater than 2), we will have the cards 3, 4, 5, 6, 7, and 8.

For P(less than 3), we will have the cars 2.

In other words, every single card fits the conditions.

Thus, P(greater than 2 or less than 3)=7/7=100%

100%

Answer:

100%

Step-by-step explanation:

Greater than 2 is 3, 4, 5, 6, 7, 8

And less than 3 is 2 so that’s all the numbers which is 100%

Answer:

[tex]y = 4x-3[/tex]

Step-by-step explanation:

The coordinates are (-0.5,-5) and (2,5)

Finding the slope, m:

=> Slope = [tex]\frac{rise}{run}[/tex]

=> Slope = [tex]\frac{5+5}{2+0.5}[/tex]

=> Slope = [tex]\frac{10}{2.5}[/tex]

=> Slope = 4

Now, y-intercept, b:

Taking any of the two coordinate and putting it in the slope intercept equation:

=> Point = (x,y) = (2,5)

So, x = 2, y = 5

=> [tex]y = mx+b[/tex]

=> 5 = (4)(2) + b

=> 5 = 8 + b

=> b = 5-8

=> b = -3

Now, Putting in slope intercept equation:

=> [tex]y = mx+b[/tex]

=> [tex]y = 4x-3[/tex]

Gradient (m) = x2-x1

y2-y1

considering

y1 = -5 y2 = 5

x1 = -0.5. x2 = 2

m = 2-(-0.5)

5-(-5)

m = 5.5

10

m = 11. = 0.55

20

equation of a line is given by

y-y1 = m+(x-x1)

y-(-5) =0.55 + {x-(-0.5)}

y+5 = 0.55 + x+0.5

making y the subject

y = 0.55 +0.5 -5 + x

y = -3.95 + x

Answer:

it may be locus. because is a set of point and line is formed the locus of points.

In geometry, the set of all points is called space.

In Mathematics and Geometry, collinear points can be defined as three or more points that all lie on the same straight line (single line). This ultimately implies that, two (2) planes intersect at a line.

For example, we can infer and logically conclude that a sphere would have all points in space that are 4 units from a point.

Generally speaking, the set of all points is referred to as a space in geometry.

Read more on collinear points here: brainly.com/question/24391959

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Answer:

The transverse axis of a hyperbola equals the difference between the distances from any point on the hyperbola to each focus. Which is expressed in answer "C" in your list of possible answers.

Step-by-step explanation:

In fact, the definition of hyperbola is that of all point on the plane whose difference between their distance to each focus is a constant.

That constant can be determined in particular when one considers the distance to the actual vertex of the hyperbola (which is on the transverse axis) and whose distance to one of the focii is equal to the transverse axis plus the distance from the vertex to the focus, and from which needs to be subtracted the distance from the vertex to the focus, resulting then in exactly the transverse axis.

Answer:

C is right

I took the test

Answer:

A. if the value of b is increased from 0, the graph moves up.

Step-by-step explanation:

got it right on edge 2021

Answer:

its a guys!

Step-by-step explanation:

T_11

Expect_6 phones

This is a permutation problem

Therefore 11p6= 11!/(11-6)! = (5!*6*7*8*9*10*11)/5! = 6*7*8*9*10*11 (ANSWER)

Answer:

one group

Step-by-step explanation:

there is only one group of six people in the office since the office only has 11 people.

Answer:

[tex]sin(u) cot(u) cos(u) = cos^{2}(u)[/tex]

Step-by-step explanation:

[tex]sin(u) cot(u) cos(u)[/tex]

First, let us simplify cot(u) as follows:

cot (u) = [tex]\frac{1}{tan(u)}[/tex]

also, [tex]tan (u) = \frac{sin (u)}{cos(u)}[/tex]

∴ [tex]\frac{1}{tan(u)} = \frac{1}{\frac{sin(u)}{cos(u)} } = \frac{cos(u)}{sin(u)}[/tex]

Hence the original expression becomes:

[tex]sin(u).\frac{cos(u)}{sin(u)} .cos(u)[/tex]

Next, sin(u) will cancel each other out, leaving the expression below:

[tex]cos(u) . cos(u) = cos^{2} (u)[/tex]

hence:

[tex]sin(u) cot(u) cos(u) = cos^{2}(u)[/tex]

I also found a similar expression with a plus (+) sign after the "sin(u)" online, and if this was your question, the solution will be as follows:

sin(u)+ cot(u) cos(u)

[tex]sin(u) + \frac{cos(u)}{sin(u)} . cos (u)[/tex]

[tex]= sin(u) + \frac{cos^{2} (u)}{sin(u)}[/tex]

[tex]sin(u).\frac{sin(u)}{sin(u)} + \frac{cos^{2}(u) }{sin(u)} \\[/tex] (note that [tex]\frac{sin(u)}{sin(u)} = 1[/tex], hence multiplying it with sin(u) does not change anything in the expression.)

[tex]\frac{sin^{2} (u)}{sin(u)} + \frac{cos^{2}(u) }{sin(u)} = \frac{sin^{2}(u) + cos^{2}(u) }{sin(u)}[/tex]

Now the relationship sin²(u) + cos²(u) = 1

Therefore:

[tex]\frac{sin^{2}(u) + cos^{2}(u) }{sin(u)} = \frac{1}{sin(u)}[/tex]

Hence, [tex]sin(u)+ cot(u) cos(u) = \frac{1}{sin(u)}[/tex]

Answer:

x^2 +5x+6

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

2x+5

Step-by-step explanation:

1

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

1/(x+2) + 1/(x+3)

Multiply by ( x+2) * (x+3) in the numerator and denominator

1 * ( x+2) * (x+3)

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

(1/(x+2) + 1/(x+3)) *( x+2) * (x+3)

Distribute

( x+2) * (x+3)

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

((x+3) + (x+2))

Combine like terms

( x+2) * (x+3)

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

2x+5

Foil the numerator

x^2 +2x+3x+6

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

2x+5

Combine like terms

x^2 +5x+6

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

2x+5

Answer:

B. [tex]\frac{x^2+5x+6}{2x+5}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{\frac{1}{x+2}+\frac{1}{x+3}}[/tex]

Add the fractions in the denominator.

[tex]\frac{1(x+3)}{\left(x+2\right)\left(x+3\right)}+\frac{1(x+2)}{\left(x+2\right)\left(x+3\right)}[/tex]

Denominators are equal, so combine.

[tex]\frac{x+3+x+2}{\left(x+2\right)\left(x+3\right)}[/tex]

Combine like terms.

[tex]\frac{2x+5}{\left(x+2\right)\left(x+3\right)}[/tex]

Back to the problem.

[tex]\displaystyle\frac{1}{\frac{2x+5}{\left(x+2\right)\left(x+3\right)}}[/tex]

Apply fraction rule 1/b/c = c/b

[tex]\frac{\left(x+2\right)\left(x+3\right)}{2x+5}[/tex]

Expand the brackets in the numerator.

[tex]\frac{x^2+5x+6}{2x+5}[/tex]