In an experiment on the behavior of young children, each placed in an area with five toys. The variable of interest X is the number of toys that the child plays with. Past experiments with many subjects have shown that the probability distribution of the number of toys played with is as follows:

X(number of toys) | 0 | 1 | 2 | 3 | 4 | 5
P(X) | 0.03 | 0.16 | 0.30 | 0.23 | 0.17 | 0.11

a) How many toys might you expect a child to play with?
b) What is the standard deviation of the number of toys played with?
c) Describe how you might carry out a simulation to estimate the mean number of toys played with (don't actually do that simulation, just set it up).

Answers

Answer 1

Answer:

a)15 b)2.34 c)by taking sum of number of toy divide to its numberings

Step-by-step explanation:

in roman a number of toys is equal to the sum of all toys and standard deviation is obtained from formula

Related Questions

The multiplication table below can be used to find equivalent ratios. A multiplication table. Which ratio is equivalent to the ratio 18:24? 15:20 20:15 30:36 36:30

Answers

Answer: 15:20

Step-by-step explanation:

18=6*3

24=6*4

now 15=5*3

20=5*4

Answer:THE answer IS 15:20

Step-by-step explanation:ToOk ThE TeSt PlS MaRk Me BrAiNlIeSt NeEd AwArD

Help Me Plz I Really Need It!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{x}{4 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4 \sqrt{2} } \\ \\ \sqrt{2} \: \: x = 4 \sqrt{2} \\ \\ x = \frac{4 \sqrt{2} }{ \sqrt{2} } \\ \\ x = 4[/tex]

NEED HELP ASAP WILL GIVE BRAINLIEST

Answers

I think its D because don’t functions only have 1 equation?

Answer:

d

Step-by-step explanation:

it is d, because functions will only have 1 equation until worked out.

hope this helped ;)

Find the 22nd term of the sequence described by the
explicit formula:
f(n) = 8 + 3(n - 1)

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}[/tex]

Step-by-step explanation:

Given that the nth term of the Arthemetic Sequence is given by :-

[tex]\implies f(n) = 8 + 3(n-1) [/tex]

And we need to find the 22nd term .

So in place of n substitute 22 .

[tex]\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }[/tex]

Hence the 22nd term is 71 .

Which integer makes the sentence true? (a) -7 (b) 7 (c) 17 (d) -17
---- - (-5) = 12

Answers

Answer: -7

Step-by-step explanation:

Solve the following system: (5 points)
y = x + 3 4x + y = 18
(6, 3)
(3, 6)
(−3, 6)
(3, −6)

Answers

Answer:
(3,6)

Explanation:
The answer I think is 3,6

natalie went skydiving, she jumped out of the plane at 3,080 feet above the ground. at 1,710 feet above the ground her parachute deployed, and instead of continuing to fall, she rose 35 feet. at this point, how far is she from the plane?

Answers

Answer: 1675 feet

Step-by-step explanation: Starting at 3080 feet she falls 1710. We subtract 1710 from 3080 and get her position at 1370 feet above the ground. She then rises 35 feet. 1370+35 = 1405 feet above the ground.

We know that the plane is 3080 feet above the ground, and that Natalie is only 1405 feet above the ground. We just have to find the difference in their positions in order to find out how far she actually is from the plane. 3080-1405 = 1675 feet

2x - y + 3z = -6
-x + 2y - 3z = 12
y + 5z = -6

Answers

Answer:

Solving the system of equations we get:

x=2, y=4, z=-2

Step-by-step explanation:

We need to solve the system of equations

[tex]2x - y + 3z = -6\\-x + 2y - 3z = 12\\y + 5z = -6[/tex]

Let:

[tex]2x - y + 3z = -6--eq(1)\\-x + 2y - 3z = 12--eq(2)\\y + 5z = -6--eq(3)[/tex]

First we find value of y from equation 3

[tex]y+5z=-6\\y=-6-5z[/tex]

Put value of y in equation 1

[tex]2x - y + 3z = -6\\2x-(-6-5z)+3z=-6\\2x+6+5z+3z=-6\\2x+8z=-6-6\\2x+8z=-12---eq(4)[/tex]

Now, put value of y in equation 2

[tex]-x + 2y - 3z = 12\\-x+2(-6-5z)-3z=12\\-x-12-10z-3z=12\\-x-13z=12+12\\-x-13z=24--eq(5)[/tex]

Multiply equation 5 with 2 and add both equations 4 and 5

[tex]2x+8z=-12\\-2x-26z=48\\--------\\-18z=36\\z=\frac{36}{-18}\\z=-2[/tex]

So, we get z=-2

Now put value of z in equation 3

[tex]y+5z=-6\\y+5(-2)=-6\\y-10=-6\\y=-6+10\\y=4[/tex]

So, we get y=4

Now, put value of y=4, and z=-2 in equation 1

[tex]2x-y+3z=-6\\2x-4+3(-2)=-6\\2x-4-6=-6\\2x-10=-6\\2x=-6+10\\2x=4\\x=\frac{4}{2}\\x=2[/tex]

So, solving the system of equations we get:

x=2, y=4, z=-2

You can use this rule to work out the total charge for hiring a cement mixer.



On Monday, Sally hired a cement mixer for 4 hours.

(a) Work out Sally’s total charge.

Answers

Answer:

[tex]Total\ Charge = 58[/tex]

Step-by-step explanation:

Given

The question is completed using the attachment

From the attachment,

[tex]Base\ Charge = 30[/tex]

[tex]Hourly\ Rate = 7/hour[/tex]

Required

Determine the total charges for 4 hours

The total charge will be calculated using:

[tex]Total\ Charge = Base\ Charge + Hourly\ Rate * Number\ of\ hours[/tex]

This gives:

[tex]Total\ Charge = 30 + 7* 4[/tex]

[tex]Total\ Charge = 30 + 28[/tex]

[tex]Total\ Charge = 58[/tex]

Hence, the total charges for 4 hours is #58

PLEASE I NEED HELP WITH MATH HOMEWORK

Answers

Answer:

x=59

Step-by-step explanation:

3x+3=180

3x=177

x=59

Happy new year yall

i hope this one is better than the last for all of us

(´▽`ʃ♡ƪ)

Answers

Happy New Years to you as well! Stay safe

Answer:

happy late new year!

Step-by-step explanation:

~evita

Which of the answer choices below gives the correct formula for the lateral
surface area (that is, not including the bases) of a regular prism?

Answers

Answer:

It’s B

Step-by-step explanation:

I just did it

Find the length of AB

Answers

x=3
that is the answer

Answer:

AB is 15

Step-by-step explanation:

AB and BC are equal because the line that goes through the triangle is going through at a 90 degree angle, u can see that by the small square, and u know it's in the middle bc of the short lines on AD and DC, the short lines means that they are congruent, so:

5x = 4x + 3

subtract 4x from both sides

x = 3

Now u have x, put it in the equation

5x = 5(3) = 15

Alyssa had 45$ to spend on 6 snacks.after buying them she had 12$ left how much did each snack cost?

Answers

Each snack cost $5.50

You start with $45, and afterwards end up with $12, so subtract 12 from 45 and you end up with 33. Then divide 33 by 6, since she bought 6 snacks, and you get $5.50.

Divide $45 with $12, you get $3.75

To check your answer, $12 x $3.75 = $45

Each snack costs $3.75

you have 15 milk chocolate Valentines and 10 dark chocolate Valentine.What is the probability that the first Valentine handed out is milk chocolate and the second is dark chocolate.​

Answers

Answer:

15/25 cuz 25 is the total and there's 15 milk. 2nd as dark chocolate would then be 10/24 cuz you've already taken one chocolate. Multiply by both would be 3/5 × 5/12 = 1/4. Percentage would then be 1/4 = 0.25 , and multiply that by 100% would then be 25%

Answer:

probability of getting milk chocolate =3/5

while

the probability of getting dark chocolate is 2/5

Step-by-step explanation:

milk chocolate=15

dark chocolate=10

there fore total=25

probability of getting milk chocolate=15/25. =3/5

while

the probability of getting dark chocolate=10/25=2/5

that's the method I know but I'm sorry if I got it wrong

I hope u get what you are looking for

Find the equation of the line tangent to the graph of
y = sin^-1 (x/5) at x = 5/2. Show your work.

Answers

Answer:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

Step-by-step explanation:

We want to find the equation of the line tangent to the graph of:

[tex]\displaystyle y=\sin^{-1}\left(\frac{x}{5}\right)\text{ at } x=\frac{5}{2}[/tex]

So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{1-\left(\dfrac{x}{5}\right)^2}}\cdot\frac{1}{5}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{5\sqrt{1-\dfrac{x^2}{25}}}[/tex]

We can factor out the denominator within the square root:

[tex]\displaystyle y^\prime =\frac{1}{5\sqrt{\dfrac{1}{25}\big(25-x^2)}}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-x^2}}[/tex]

So, we can find the slope of the tangent line at x = 5/2. By substitution:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-(5/2)^2}}[/tex]

Evaluate:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{75/4}}=\frac{1}{\dfrac{5\sqrt{3}}{2}}=\frac{2\sqrt{3}}{15}[/tex]

We will also need the point at x = 5/2. Using our original equation, we acquire that:

[tex]\displaystyle y=\sin^{-1}\left(\frac{1}{2}\right)=\frac{\pi}{6}[/tex]

So, the point is (5/2, π/6).

Finally, by using the point-slope form, we can write:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}\left(x-\frac{5}{2}\right)[/tex]

Distribute:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}x+\frac{-\sqrt{3}}{3}[/tex]

Isolate. Hence, our equation is:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

in a art class, there are 48 pencils to 56 crayons. what is the ratio of pincels to total written as a fraction in simplest form​

Answers

Answer: 48:104

Step-by-step explanation: 48 is the amount of pencils 48+56=108 is the total

A company wants to evaluate its attrition rate, in other words, how long new hires with the company. Over the years, they have established the following probability distribution.
Let X = the number of years a new hire will stay with the company.
Let P(x) = the probability that a new hire will stay with the company x years.
1. Complete Table using the data provided.
x p(x)
0 0.12
1 0.18
2 0.30
3 0.15
4
5 0.10
6 0.05
2. P(x = 4) = _________
3. P(x ≥5) = __________
4. On average, how long would you expect a new hire to stay with the company?

Answers

Answer:

2.) 0.10 (3.) 0.10 (4.) 2.43

Step-by-step explanation:

Given that:

x p(x)

0 0.12

1 0.18

2 0.30

3 0.15

4

5 0.10

6 0.05

X : __0__ 1 ___ 2 ___ 3 _____ 4 ____ 5 ____ 6

p(x):0.12_0.18_0.30_0.15__0.10___0.10 ___0.05

Σ of p(x) = 1

(0.12 + 0.18 + 0.30 + 0.15 + x + 0.10 + 0.05) = 1

0.9 + x = 1

x = 1 - 0.9

x = 0.1

2.)

P(x = 4) = 0.10

3.)

P(x = 5) = 0.10

4.)

Σ(x * p(x)) :

(0*0.12) + (1*0.18) + (2*0.3) + (3*0.15) + (4*0.1) + (5*0.1) + (6*0.05) = 2.43

Jessica is selling books during the summer to earn money for college. She
earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E() = 10x- 35, where xis the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
What does the slope of Jessica's function represent?

Answers

Answer:

A you can check it by substituting values into x like 5 and 6 then compare the E(X) value

The solution is :

The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

The slope of any linear function tells us the rate of increase in Y given 1 unit increase in X

[note the equation as y = mx+b ].

Here, m is the slope.

Jessica's weekly earning function is:

E(x) = 7x - 25

Where,

E(x) is her weekly earnings

x is the number of doors she knocks

So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

pls help asap no trolls!!

Answers

Answer:

The answer to this is SAS


Which best represents the correct way to solve the inequality shown below?
-8.2 great then or equal to 4x

Answers

Answer:

-8.2≥4x

Step-by-step explanation:

theres really not much to it ≥ means greater than or equal to and ≤ means less than or equal to

x^3y-xy^3

factorize the expression​

Answers

Answer:

[tex]xy(x + y)(x - y)[/tex]

Step-by-step explanation:

[tex] {x}^{3}y - x{y}^{3} [/tex]

Taking xy common ,

[tex] = > xy( {x}^{2} - {y}^{2} )[/tex]

We know that

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b) [/tex]

So,

[tex] = > xy(x + y)(x - y)[/tex]

Please Answer Fast i dont have time

Answers

Answer:

X✓X✓✓X

Step-by-step explanation:

Answer:

2/12

3/18

4/24

Step-by-step explanation:

The question is below. Tks

Answers

Step-by-step explanation:

Remember the identity sin²x + cos²x = 1.

Therefore 1 - cos²x = sin²x and 1 - sin²x = cos²x.

sqrt(1 - cos²x) / sinx + sqrt(1 - sin²x) / cosx

= sqrt(sin²x) / sinx + sqrt(cos²x) / cosx

= sinx / sinx + cosx / cosx

= 1 + 1

= 2. (H)

Tony and Ricky spend a certain amount of money from their accounts each week at a pet shelter.

The table shows the relationship between the amount of money (y) remaining in Tony's account and the number of weeks (x):

Function 1:
Number of Weeks
(x) Amount Remaining (dollars)
(y)
1 30
2 24
3 18
4 12

The equation shows the relationship between the amount of money, y, remaining in Ricky's account and the number of weeks, x:

Function 2:
y = −7x + 30

Which statement states and explains which function shows a greater rate of change?

a. Function 1, because Tony spends $6 each week and Ricky spends −$7 each week

b. Function 2, because Ricky spends $7 each week and Tony spends $6 each week

c. Function 1, because Tony spends $18 each week and Ricky spends $23 each week

d. Function 2, because Ricky spends $30 each week and Tony spends $18 each week

Answers

Answer:

No its not a

Step-by-step explanation:

what is the answer because a is not right. I did the quiz and got it wrong

Answer:

it is answer b.  

Find the equation of the line through point (−1,2) and perpendicular to x+3y=3.

Answers

Answer:

-2x

Step-by-step explanation:

As you can see the line is perpendicular the the given equation and passes through the point (-1,2).

Answer:

y=3x+5

Step-by-step explanation:

the equation x+3y=3 is in standard form (ax+by=c)

we can put it into slope intercept form (y=mx+b) to make it easier.

subtract x from both sides

3y=-x+3

divide by 3

y=-1/3x+1

Perpendicular lines have slopes that are opposite (one is negative and one is positive) and reciprocal, so if you mutiply them together, it will equal -1

use this equation:

-1/3m=-1

multiply by -3 on both sides

m=3

equation so far: y=3x+b (b is a placeholder)

since the equation passes through the point (-1,2), we can substitute it into the equation

2=3(-1)+b

2=-3+b

5=b

the equation is y=3x+5

Hope this helps!

2. Which of the following is the standard form of a linear equation in two variables?
A. y = mx + b
B. y = mx - b
C. Ax + By = C
D. Ax – By = C​

Answers

Answer:

C. [tex]Ax+By=C[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex]

standard form: [tex]Ax+By=C[/tex]

2. Which of the following is the standard form of a linear equation in two variables?

A. y = mx + b

B. y = mx - b

C. Ax + By = C

D. Ax – By = C

pls help pls help pls helppp

Answers

Answer:

2/1

Step-by-step explanation:

Rise over run

Question 4 of 10
Suppose that the following group of values has been entered into the TVM
Solver of a graphing calculator: N=300; 1%=7.7; PV=105000; PMT=-
789.65160; FV=0; P/Y=12; C/Y=12; PMT:END. Which of the following uses of
the "balſ" function will give the balance on the loan in question after 11 years?
A. bal(11)
B. bal(14)
C. bal(168)
O D. bal(132)
SUB

Answers

Answer:

ball 132

Step-by-step explanation:

Please help ASAP!!!!!!!

Answers

Answer:

404

Step-by-step explanation:

Given the expression

g(x) = 2x and h(x) = x^2 + 4

Find hoh(-4)

First we need to find (hoh)(x)

(hoh)(x) = h(h(x))

h(h(x)) = h(x^2+4)

h(x^2+4) = (x^2+4)²+4

h(x^2+4) = x⁴+8x²+16 + 4

h(x^2+4) =  x⁴+8x²+20

h(h(x)) = x⁴+8x²+20

when x = -4

h(h(-4)) = (-4)⁴+8(-4)²+20

h(h(-4)) = 256+128+20

h(h(-4)) = 404

Hence hoh(-4) is 404

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