Use the explicit rule given to write the first four terms the sequence
F(n)=n²+7

Answer:

1.) Yes,

2.) (10.0017518 ; 10.0022482)

Step-by-step explanation:

1.) Since the average is > mean, then it shows that scale isn't well calibrated.

2.)

Sample mean = 10.002

Standard Error = σ/√n = 0.0002/√5

df = n - 1 = 5 - 1 = 4

Tcritical(0.05, 4) = 2.776

Margin of Error = Tcritical * standard error

Margin of Error = 2.776*0.0002/√5 = 0.0002482

Confidence interval :

Mean ± margin of error

Lower boundary = 10.002 - 0.0002482 = 10.0017518

Upper boundary = 10.002 + 0.0002482 = 10.0022482

(10.0017518 ; 10.0022482)

C.)

Since 10 does not fall within the interval ; then we can agree with our assertion in (1).

Confidence interval gives a range of of all possible values and not just a single point value.

Answer:

C. all real numbers

Step-by-step explanation:

D(y) = {x / x € R }

_____

Answer:

All real numbers :)

Step-by-step explanation:

Answer:

[tex]Pr = \frac{1}{15}[/tex]

Step-by-step explanation:

Given

See attachment for sample space

Required

[tex]P(1\ Y\ and\ 1\ P)[/tex]

From the attached sample space, we have:

[tex]n(S) =30[/tex] ---- total outcomes

[tex]n(PY) = 2[/tex] --- outcomes with 1 Y and 1 P = 2 i.e. (P,Y) and (Y,P)

So, the required probability is:

[tex]Pr = \frac{n(PY)}{n(S)}[/tex]

[tex]Pr = \frac{2}{30}[/tex]

[tex]Pr = \frac{1}{15}[/tex]

The error is that; Carlos omitted the numerator

Answer:

yes

Step-by-step explanation:

Answer:

x (1/4,0) y (0,-1/3)

Step-by-step explanation:

x (1/4,0)

y (0,-1/3)

Answer:

Option B

Step-by-step explanation:

Expression representing the series is,

[tex]\sum_{k=6}^{11}(2k+5)[/tex]

Here, k = Number of terms

By placing k = 6, 7, 8, 9, 10, 11 in the expression we can get the terms of the series.

For k = 6,

(2k + 5) = 2(6) + 5

            = 17

For k = 7,

(2k + 5) = 2(7) + 5

             = 19

For k = 8,

(2k + 5) = 2(8) + 5

            = 21

For k = 9,

(2k + 5) = 2(9) + 5

            = 23

For k = 10,

0(2k + 5) = 2(10) + 5

            = 25

For k = 11,

(2k + 5) = 2(11) + 5

            = 27

Therefore, expanded form will be,

17, 19, 21, 23, 25, 27

There, is a common difference in each successive to previous term,

d = 19 - 17

d = 2

Number of terms 'n' = 6

First term = 17

Sum of an arithmetic sequence is given by,

[tex]S=\frac{n}{2}[2a+(n-1)d][/tex]

Therefore, sum of the given sequence will be,

[tex]S=\frac{6}{2}[2(17)+(6-1)2][/tex]

   = 3(34 + 10)

S = 132

Option B will be the correct option.

Answer:

The speed will be "144 mph".

Step-by-step explanation:

Let the speed of the plane be "x mph".

then,

The car's speed be "x-130 mph".

According to the question,

⇒ [tex]\frac{1440}{x} =\frac{400}{x-130}[/tex]

By applying cross-multiplication, we get

⇒    [tex]1440(x-130)=400x[/tex]

⇒ [tex]1440x-187200=400x[/tex]

⇒    [tex]1440x-140x=187200[/tex]

⇒                [tex]1300x=187200[/tex]

⇒                       [tex]x=\frac{187200}{1300}[/tex]

⇒                          [tex]=144 \ mph[/tex]

Answer:

28.26 ft.²

Step-by-step explanation:

Mathematics: Explain/formula.

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

[tex]\pi r^2(3.14*radius*radius)[/tex]

[tex]\pi =pi[/tex]

Mathematics: Solve.

Here, the diameter is 6 ft.

To find the radius, divide the diameter by 2.

[tex]6/2=3[/tex]

[tex]radius=3[/tex]

Now, we can plug the numbers into the formula.

[tex]\pi 3^2(3.14*3*3)=28.26[/tex]

Mathematics: Conclude.

Therefore, the area of this circle is 28.26 ft.²

the area of the given circle will be 28.27 ft².

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, a circle that has a diameter of 6 ft,

Since, Radius = diameter/2

Thus,

Radius = 6/ 2

Radius = 3ft

From the formula of the area of the circle:

Area = pi* radius *radius

In our case,

Area = pi * 3 * 3

Area = 28.274

Therefore, the area of the given circle will be 28.27 ft².

Learn more about Area here:

https://brainly.com/question/27683633

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Answer:

2.263

Step-by-step explanation:

standard deviation of sample means = s/\sqrt{n}

Given

Standard deviation s = 16pounds

Sample size n = 50

Substituting

standard deviation of sample means = 16/\sqrt{50}

standard deviation of sample means = 16/7.071

standard deviation of sample means = 2.263

Hence the standard deviation of sample means taken from this population with a sample size of 50 is 2.263

The surface area of the regular pyramid whose diagram is good one above would be = 102.9 in²

To calculate the surface area of a regular pyramid, the formula given below is used;

Surface area of pyramid = SA = A + 3(1/2bh) = A + 3/2bh,

Where A = area of triangle = ½bh

b = base = 5 in

h = slant height = 13. in

SA = ½× 2.5×4.3 + 3/2×5 ×13

= 5.375 + 97.5

= 102.9 in²

Learn more about area here:

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Then I'll definitely will ask you questions about maths :)

Please help me with my homework.

Here is the question. I hope you would help me, I really need answer asap. I need to pass it by 8:30. pls help me

Answer: a^3 · a^2 ≠ a^6 as the laws of exponents states that the multiplication rule for two exponents with the same bases equates to addition, so that a^3 · a^2 = a^3+2 = a^5.

Answer:

63%

Step-by-step explanation:

2 dozen eggs is 24

24-9=15

15/24=.625 but when you rounded .63

Step-by-step explanation:

basketball = 40 %

football = 30 %

baseball = 20 %

soccer = 10 %

Answer:

the other side

Step-by-step explanation:

Answer:

75 miles

Step-by-step explanation:

2 * 3= 6

25 * 3= 75

Answer:

521,400 meters squared

Step-by-step explanation:

With the 1cm = 100m scale

6.6 cm = 660m

7.9 cm = 790m

Area = 660 x 790 = 521,400 meters squared

Answer:

Step-by-step explanation:

3: Possible outcomes for a coin flip; heads tails

Total possible outcomes for two coin flips 2*2=4

Out the 4 possible outcomes only 1 of them both times it land on heads

1/4

4: and 5 i dont know

Answer:

[tex]68^\circ[/tex]

Step-by-step explanation:

FGD is congruent to CGE because they are vertical angles.

Because AB is a line and AGC makes a right angle, then CGB is also a right angle. Thus [tex]\angle{EGB} = \angle{CGB}-\angle{CGE}[/tex], or [tex]\angle{GCE} = 68^\circ[/tex]

Answer:

a. true

b. false

c. false

d. true

e. false

Step-by-step explanation:

A. true, a shape is not warped by a rotation

b. false, the points on the figure will change

c. false, the size is not affected by a rotation

d. true, the orientation changes in a rotation

e. false, the coordinate points on the figure are altered

Answer:

A- The shapes of the figure does not change.

C- The size of the figure does not change.

D- The orientation of the figure does not change

Answer:

Now, since i answered too i think you can make him brainliest

Answer:

6390.56

Step-by-step explanation:

[tex]AV=PV(1+\frac{i}{n})^{nt}\\10000=x(1+\frac{.065}{2})^{7*2}\\10000=1.564807232*x\\6390.53=x[/tex]

9514 1404 393

Answer:

  $6490.57

Step-by-step explanation:

The future value is given by the compound interest formula ...

  A = P(1 +r/n)^(nt)

Principal P earns annual rate r compounded n times per year for t years.

Filling in the given values, we have ...

  10000 = P(1 +0.065/2)^(2·7) = P(1.0325^14)

  P = 10000/1.0325^14 ≈ 6390.5635

You would need to deposit $6390.57 into the account to have $10,000 in 7 years.

_____

Additional comment

Using the rounded-down result of the computation will result in a value after 7 years of $9,999.99, not quite $10,000. Rounding the computed value up to $6390.57 ensures the account balance will actually be $10,000.00 after 7 years.

If the balance is rounded to the nearest penny each time interest is added, then the balance after 7 years will be exactly $10,000.00. If there is no intermediate rounding, the resulting balance will be $10,000.01.

Most of the time, the answer key doesn't pay attention to details like this. Your expected answer may be $6390.56, or $6391 if rounded to dollars.

Answer:

See answers below

Step-by-step explanation:

Since both trinagles asre similar hence the ratio of the similar sides are equal.

From both triangles;

y + 7 = 3y - 7

y - 3y = -7-7

-2y = -14

y = 14/2

y = 7

FE = 3y - 17

FE = 3(7) - 17

FE = 21 - 17

FE = 4

AB = y'+7

AB = 7 + 7

AB = 14

Similarly

3x+20 = 5x - 80

3x -5x = -80-20

-2x = -100

x = 100/2

x = 50

<A = 3x + 20

<A = 3(50) + 20

<A = 150 + 20

<A = 170degrees

Hence x= 50 and y = 7

Answer:

I think the answer is a

Answer:

8

Step-by-step explanation:

Answer:

B- A square because it has 4 sides that are the same length.

Explain:

I misread earlier, but a rhombus is defined as a quadrilateral with four equal-legnth sides and opposite sides parallel to each other. All squares have all of these properties.

Answer:

3/4 ib = 12 oz

Step-by-step explanation:

Answer:

−21r

Step-by-step explanation:

=−r+−20r

=(−r+−20r)

=−21r

=−21r

hope this helps!! <3

Answer:

Now we can see that our fraction is 2.9411764705882/100, which means that 1/34 as a percentage is 2.9412%.

Step-by-step explanation:

Answer:

3x+88+x+36+2x-10=180 (being straight line)

6x+114=180

6x=180-114

x=66/6

x=11

Step-by-step explanation:

Answer:

this question is very simple

we know that

if A , O and B lie on a straight line segment

then

∡AOY+∡YOZ+∡ZOB=180°

so

3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°

the answer is

x=36°

.... please mark as brainliest