The mean age of 5 people in a room is 40 years.
A person enters the room.
The mean age is now 37.
What is the age of the person who entered the room?

Answer:

B A C

Step-by-step explanation:

It is what it is

Answer:

4 number lines. Graph A goes from 95 to 100. An open circle is at 98 and everything to the right is shaded. Graph B goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the right is shaded. Graph C goes from negative 100 to negative 95. An open circle is at negative 98 and everything to the left is shaded. Graph D goes from negative 74 to negative 69. An open circle is at negative 72 and everything to the left is shaded.

Which graph is the solution to the inequality?

y - 13 > -85

13 < -85 + y

y + 13 < -85

Step-by-step explanation: edgunity!

hope this helps! :)

Answer:

4%

Step-by-step explanation:

Answer:

2 is the answer according to me

Answer: your answer is 2

Step-by-step explanation:

Answer:

a shoe box

Step-by-step explanation:

i'm not 100% sure but isn't a shoe box rectangular?

Answer: is answer b

Step-by-step explanation:

Answer: The answer is B

Step-by-step explanation:I did the quiz

Answer:

Jana is expected to win 40 more games over Ty.

Step-by-step explanation:

If Ty plays the game 120 times, he is expected to win in 1/3 part of 120 games, which is ( 1/3 * 120 =) 40 games.

If Jana plays the game 120 times, she is expected to win in 2/3 part of 120 games, which is ( 2/3 * 120 =) 80 games.

If Jana is expected to win 80 times an Ty is expected to 40 times, then Jana is expected to win ( 80 - 40 =) 40 more games over Ty.

Answer:

there are 80 students

Step-by-step explanation:

Answer:

EDITING VIEW

Step-by-step explanation:

Answer: 3pi/5 and 5/3pi?

Step-by-step explanation:

Answer:

Step-by-step explanation:

3pi/5 * 180/pi

3/5 * 180/1

3/1 * 36

3*36

108 degrees

5/3pi * pi/180

5/3 * 1/180

1/3 * 1/36

1/108

Answer:

9.7% for 4 months = 9.7 * 3 = 29.1% for the year.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of a triangular pyramid = 1/3 * Base area * height

Given the Base area = area of the equilateral triangle = 12/3 cm

Height of the pyramid = length of its edge = 4/3 cm

Substituting this values in the formula we have;

V = 1/3 * 12/3 * 4/3

V = 48/27

V = 16/9 cm³

The volume of the given triangular pyramid is; B: 16/3 cm²

Formula for volume of a triangular pyramid is;

V = ¹/₃ * Base area * height

We are given;

Base area = area of the equilateral triangle = 12 cm²

Height of the pyramid = length of its edge = 4/3 cm

Thus;

V =  ¹/₃ * 12 * (4/3)

V = 16/3 cm³

Read more about Volume of Pyramid at; https://brainly.com/question/16203922

Answer:

  (√55)/8

Step-by-step explanation:

The sine and cosine are related by ...

  sin² +cos² = 1

Then the sine of the angle is ...

  sin(θ₁) = √(1 -cos(θ₁)²)

  sin(θ₁) = √(1 - (3/8)²) = √(55/64)

  sin(θ₁) = (√55)/8

Answer:

[tex] Ways = 3*5*7= 105[/tex]

And that's equivalent to:

[tex] Ways= (3C1) (5C1) (7C1) =3*5*7=105[/tex]

Where C represent the term combinatory defined as:

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

And then the number of ways to select the three books are 105, and the best option would be:

b). 105

Step-by-step explanation:

For this case we can use the multplication principle of counting or sometimes called the product rule.

We have a total of 3 novels, 5 biographies and 7 self-help books. And we can find the number of ways that a person can select the three books with theis product:

[tex] Ways = 3*5*7= 105[/tex]

And that's equivalent to:

[tex] Ways= (3C1) (5C1) (7C1) =3*5*7=105[/tex]

Where C represent the term combinatory defined as:

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

And then the number of ways to select the three books are 105, and the best option would be:

b). 105

We want to see in how many different ways a person can select one book from 3 novels, one book from 5 biographies and one book from 7 self-help books, the correct option is b: 105.

To get the numbe of different ways, the first thing we need to do is find the selections.

Here we have 3 selections:

Now we need to find the number of options for each of these selections, and just multiply the numbers of options.

we have:

Number of different ways of selecting = 3*5*7 = 105

So the correct option is b.

If you want to learn more, you can read:

https://brainly.com/question/3349431

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The volume is the summation of the volumes of the shells. The volume of a shell is its circumference ...

  c(x) = 2πx

multiplied by its height ...

  h(x) = 5x(x -2)^2

and its thickness, dx.

That summation is the integral ...

  [tex]\displaystyle V=\int^2_0 {2\pi x(5x)(x-2)^2} \, dx=10\pi\int^2_0 {(x^2-2x)^2} \, dx=10\pi\left(\dfrac{2^5}{5}-\dfrac{4(2^4)}{4}+\dfrac{4(2^3)}{3}\right)\\\\\boxed{V=\dfrac{32\pi}{3}}[/tex]

The circumference of the shell  is c(x) = 2πx

The height of the shell is [tex]h(x) = 5x(x-2)^{2}[/tex]

The required volume of the shell is [tex]\frac{32\pi}{3}[/tex].

Given that,

S be the solid obtained by rotating the region,

Where, a = 5 and b =2

We have to determine ,

What are its circumference c and height h.

According to the question,

          c(x) = 2πx

          [tex]h(x) = 5x(x-2)^{2}[/tex]

[tex]V = \int (circumference) \ )(height )\ . dx\\\\[/tex]

Where dx thickness of the shell.

Substitute the value in the equation,

[tex]v = \int\limits^2_0 {2\pi x .(5x) (x-2)^{2} }\, dx\\\\v = \int\limits^2_0 {10\pi x^{2} (x-2)^{^{2}} \ d x\\\\\\v =10\pi \int\limits^2_0 {x^{2}.(x^2+4-4x)} \, dx \\\\V = 10\pi \int\limits^2_0( {x^{4} + 4x^{2} - 4x^{3}) \, dx[/tex]

[tex]v = 10\pi \ [ \dfrac{x^{5}}{5} + \dfrac{4x^{3}}{3} - x^{4}]^{2}_0\\\\v = 10\pi [ \dfrac{2^{5}}{5} + \dfrac{4.2^{3}}{3} - 2^{4} - \dfrac{0^{5}}{5} -\dfrac{4.0^{3}}{3} + 0^{4}]}\\\\v = 10\pi \ [ \dfrac{32}{5} + \dfrac{32}{3} - 16 -0-0+0]\\\\v = 10\pi [\dfrac{96+160-240}{15}]\\\\v = 10\pi [\dfrac{16}{15}]\\\\v = \dfrac{32\pi }{3}[/tex]

Hence, The required volume of the shell is [tex]\dfrac{32\pi}{3}[/tex].

To know more about Integration click the link given below.

https://brainly.com/question/16649904

Answer:

I think it’s the first and fourth

Step-by-step explanation:

Hope this helps!!!!

Answer:

Step-by-step explanation:

The information given is not enough to determine the probability.

Given the number of male tenth-grader, and the number of all tenth-grader, the probability will then be: (number of male tentg-grader) divided by (the total number of students).

Answer:

What is the probability that a randomly chosen tenth-grader is male?  

✔ 80/154

What is the probability that a randomly chosen tenth-grader is male given that the tenth-grader prefers geometry?  

✔ 47/87

Are the events “male” and “geometry” independent?  

✔ no, P(male) does not equal P(male | geometry)

Step-by-step explanation: These are the answers for edge 2020

Answer:

81 shares

Step-by-step explanation:

Data provided in the question

Number of shares owned = 75 shares of stock

Per share value = $50

Dividend declared = 8%

Based on the above information. the number of shares owned is

[tex]= Number\ of \ shares\ owned \times dividend\ declared\ percentage + Number\ of \ shares\ owned[/tex][tex]= 75\shares \times 8\% + 75\shares[/tex]

= 81 shares

We simply added the number of shares owned and the number of shares owned after considered the dividend declared percentage so that the correct shares owned could arrive

Answer:

see below

Step-by-step explanation:

Let x be the first integer

x+1 is the next integer

x+2 = next integer

x+3 = last integer

The sum of the 4 integers is -10

x+ x+1 + x+2  + x+3 = -10

Combine like terms

4x+6 = -10

Subtract 6 from each side

4x+6-6 = -10-6

4x = -16

Divide each side by 4

4x/4 = -16/4

x = -4

x+1 = -3

x+2 = -2

x+1  =-1

The integers are -4, -3, -2 ,-1

Answer:

WC

Step-by-step explanation:

Answer:

Step-by-step explanation:

To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level

The nul hypothesis is

[tex]H_0; \mu \geq 1520[/tex]

The alternative hypothesis is

[tex]H_0 ; \mu\leq 1520[/tex]

The test statistic is

[tex]t=\frac{\bar x- \mu}{(\frac{s}{\sqrt{n} } )}[/tex]

[tex]t= \frac{1501-1520}{(\frac{53}{\sqrt{20} } )} \\\\=-1.603[/tex]

The t - test statistics is -1.603

The t - critical value is,

The small size is small and left tail test.

Look in the column headed [tex]\alpha = 0.05[/tex] and the row headed in the t - distribution table by using degree of freedom is,

d.f = n - 1

= 20 - 1

= 19

The t - critical value is -1.729

The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance.

there is insignificance evidence ti indicate that the mean SAT score is less than 1520. The result is not statistically significant

Answer:

Critical value = -1.729

Step by Step explanation:

Given:

n = 20

X' = 1501

Standard deviation = 53

Mean, u = 1520

Level of significance, a = 0.05

The null and alternative hypotheses:

H0 : u = 1520

H1 : u < 1520

This is a lower tailed test.

Degrees of freedom, df = 20 - 1 = 19

For critical value:

[tex]t critical = - t_a, _d_f [/tex]

From t table df = 19, one tailed

[tex]t critical = -t _0._0_5, _1_9 = -1.729[/tex]

Critical value = -1.729

Decision: Reject null hypothesis H0, if test statistic Z, is less than critical value.

Test statistic Z =

[tex] Z = \frac{X' - u}{\sigma / \sqrt{n}} [/tex]

[tex] Z = \frac{1501 - 1520}{53/ \sqrt{20}}= -1.603[/tex]

Z = -1.603

For p-value:

From excel,

P(t< -1.603) = t.dist( -1.603, 19, 1)

= 0.06269

≈ 0.0627

P value = 0.0627

Since test statistic Z, -1.603, is greater than critical value, -1.729, we fail to reject the null hypothesis H0.

There is not enough statistical evidence to conclude that mean is less than 1520.

Answer:

g(2)=11

Step-by-step explanation:

We want to find g(x), or y, when x is equal to 2. We have the equation:

g(x)=2x+7

We know that x=2, so we can substitute 2 in for x.

g(2)=2(2)+7

Multiply 2 and 2 first

g(2)=4+7

Add 4 and 7

g(2)=11

Answer:

Yes 11 is the right answer

Step-by-step explanation:

Answer:

I think goes 130 and then  180 then 120 it's need to be to have an angle i think.  

Step-by-step explanation:

Because it's a-c so abc is 120  

a-b is 130 and b-c it's gona be 180  

I might be wrong but i have 2 answer 120 130 180 or

130 180 120.

Answer:

x is between 0 and 1

x is almost 0.5

y is between 2 and 3

y is almost 0.2

Answer:

1st answer: 0 and 1

2nd answer: about 0.6

3rd answer: 2 and 3

4th answer: about 2.2

Step-by-step explanation:

I got it correct! Edge 2021:)

Answer:

Center is at (-4, -2) and the radius = 5.

Step-by-step explanation:

Convert to Standard form:

x^2 + 8x + y2 + 4y - 5= 0  

Completing the square:

(x + 4)^2 - 16 + (y + 2)^2 - 4 = 5

(x + 4)^2 + (y + 2)^2  = 5 + 16 + 4

(x + 4)^2 + (y + 2)^2  = 25

(x - h)^2 + (y - k)^2 = r^2     Comparing:-

The center is at (-4, -2) and the radius = 5.

Answer:

Here is the answer mate. Hope it helps. Please rate my answer and mark as brainlist if you find it helpful.

Answer:

[tex] = 48 {m}^{3} [/tex]

Step-by-step explanation:

[tex]volume = l \times w \times b \\ = 1 \times 8 \times 6 \\ = 48 {m}^{3} [/tex]

Answer:

  25

Step-by-step explanation:

25 is a multiple of 5, so is the least multiple of both 5 and 25.

Answer:

Hey there!

That would be 25.

Hope this helps :)