In a​ survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3.

Number 1 2 3 4 5
Frequency 32 96 128 112 32

Answers

Answer 1

Answer:

The value of the experimental probability is greater

Step-by-step explanation:

For the theoretical probability;

the probability that a card with the number 3 is selected is 1/5

We consider that the probabilities of each selection are equal, for the theoretical probability

For the experimental, we simply place the frequency of the selection 3 over the total

that will be 128/400 = 8/25

As we know that 8/25 is greater than 1/5

We can conclude that the value of the experimental probability is greater than that of the theoretical

Answer 2

Answer:

I hate math

Step-by-step explanation:


Related Questions

Maria has two options for buying a new computer. She can pay $750 right now, or she can pay $24.99 each month for 3 years. How much more will Maria pay if she makes payments for 3 years?

Answers

Answer:

$149.64

Step-by-step explanation:

Recall that there are 12 months in a year.  Thus, 3 years would be 36 months.

$24.99 times 36 months comes to $899.64.  To determine how much more Maria will pay by making monthly payments is $899.64 less $750, or $149.64.

How much interest does a $407 investment earn at 6% over seven years?

Answers

Answer:

$204.98

Step-by-step explanation:

407(1+0.06)^7

611.98

611.98-407

204.98

So it made $204.98

Hope this helps

I need some help. Can someone assist me with this?​

Answers

Answer:

x = 12

WN = 28

Step-by-step explanation:

SO = WN and SO = 2WI

3x - 8 = 2(x + 2)

3x - 8 = 2x + 4

3x - 2x = 4 + 8

x = 12 now replace x with 12 in the first equation given

3x - 8 = 3×12 - 8

36 - 8 = 28

Alina drew a model of a square pyramid. The dimensions of the model are
shown in the diagram.

Answers

Answer:

400

Step-by-step explanation:

Volume=⅓*B*h

B=10×10=100

Bh=100×12=1200

then divide by

1200÷3=4

The volume of a pyramid with a square base is 400 cm³.

What is a pyramid?

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

Now,

Height = 12 cm

Base area = 10² = 100 cm²

Now,

Volume.

= 1/3 x 100 x 12

= 400 cm³

Thus,

The volume of a pyramid with a square base is 400 cm³.

Learn more about pyramid here:

https://brainly.com/question/17615619

#SPJ7

suppose the income tax rate is 4% determine the amount of money remaining after paying income tax on an income of $20,000 ​

Answers

Answer:

$19200

Step-by-step explanation:

20,000*0.96=19200

a silo is a building shaped like a cylinder used to store grain the diameter of a particular silo is 6.5 meters and the height of the silo is 12 meters

Answers

Answer:

V=pi(3.25)^2(12)

Step-by-step explanation:

The “pi” is an actual sign

Please help! I need this fast!

Answers

Answer:

E. (6,4

F. (4,6)

G. (3,0)

H. (0,3)

Step-by-step explanation:

E is located at 6,4 F is located at 4,6 G is located at 3,0 and H is located at 0,3

PLEASE I ACTUALLY NEED HELP ;(​

Answers

Answer:

[tex]\sqrt{18x^4y}[/tex]

Step-by-step explanation:

3x²[tex]\sqrt{2y}[/tex] = [tex]\sqrt{(3x^2)^22y}[/tex] =[tex]\sqrt{18x^4y}[/tex]

Answer:

√{18x⁴y}=√?

?=18x⁴y is your answer

Mrs. Washington earns a gross salary of
$64,000. She paid 7% in income taxes in 2014.
Which of the following best represents the
amount of money Mrs. Washington paid in
income tax in 2014?

Answers

Answer:

$4480

Step-by-step explanation:

64,000*.07= 4480

A house painter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
A. 30:54
B. 6:10
C. 10:45
D. 27:15

Answers

Answer is A 5*6=30 9*6=54

1. Which function does not have the set of all real numbers as its domain? A) f(x) = 3x + 7 B) f(x) = x3 - 2x2 + x – 5 C) fx= 2x-3 D) fx= x-7x+4

Answers

Answer:

None of the given functions

Step-by-step explanation:

Given

[tex]A)\ f(x) = 3x + 7[/tex]

[tex]B)\ f(x) = x^3 - 2x^2 +x - 5[/tex]

[tex]C)\ f(x)=2x - 3[/tex]

[tex]D)\ f(x)=x^2 - 7x + 4[/tex]

Required

Which do not have set of real numbers as its domain

If a function has no root and no denominator, then the domain of such function is a set of all real numbers

The given functions (a) to (d) do not have square roots and do not have denominators.

Hence, all functions have the set of real numbers as their domain

Joel borrowed $1,512. He was to pay that amount back along with an additional 9% interest. He could only pay back 82% of what he should have. How much did Joel pay back on his loan?

Answers

Answer:

$1351.43

Step-by-step explanation:

The amount to pay:

$1512 + 9% = $1512*1.09 = $1648.08

The amount paid back:

82% of $1648.08 = 0.82*1648.08 = $1351.43

Survey: On free time 90 students like watching TV, 20 like watching TV but not reading, 80 like reading, 40 do not like watching TV. Question: Percent of total student like both watching televisan and reading

Answers

Answer:

 50 %

Step-by-step explanation:

From the diagram attached,

Percentage of total students that like watching television = [(WnR)/μ]×100......... Equation 1

The number of students that like watching television and reading (WnR) = 70

The total number of students (μ) = 40+20+70+10

The total number of students (μ) = 140

Substitute these values into equation 1

Percentage of total students that like watching television = (70/140)×100

Percentage of total students that like watching television = 1/2(100)

Percentage of total students that like watching television = 50 %

What is the rate of change in the equation?

Answers

Answer:

-5

Step-by-step explanation:

The rate of change is normally the number not attached to X so in this equation it is-5.

Solving the equation -5x = 4y + 8 for y gives

Answers

Answer:

y= -2-5/4x

x= -4/5y-8/5

Step-by-step explanation:

i hope this helps :)

This is the graph of f(x). What is the value of f(3)?

Answers

Answer:

Option C. 8 will be your answer

Step-by-step explanation:

hope it helps you...

have a great day!!!

emma records the number of spots in 5 ladybugs

Answers

Answer:

What’s the question?

Step-by-step explanation:

7/12 minus 1/6 gggggggggggggggggggg

Answers

Answer:

[tex] \frac{5}{12} [/tex]

Step-by-step explanation:

[tex] \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} [/tex]

Answer:

0.41666666666

or

5/12

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

IF YOU SEND ONE MORE LINK AGAIN I WILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

What is your question

Step-by-step explanation:

I do not see a question

Answer:

where is the question at?

Step-by-step explanation: I don'tsee it

Write the fifteenth term of the binomial expansion of (a^2+b)^20

Answers

Answer:

The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].

Step-by-step explanation:

Let be a binomial of the form [tex](a+b)^{n}[/tex], where [tex]a, b\in \mathbb{R}[/tex] and [tex]n\,\in\mathbb{N}^{+}[/tex]. The expansion of this polynomial is defined below:

[tex](a+b)^{n} = \Sigma\limits_{k=0}^{n}\,\frac{n!}{k!\cdot (n-k)!}\cdot (a^{n-k}\cdot b^{k})[/tex] (1)

Where:

[tex]n[/tex] - Number of terms of the expanded polynomial.

[tex]k[/tex] - Index associated to [tex]k[/tex]-th term of the expanded polynomial.

For all [tex]n[/tex]-th binomial, we a sum of [tex]n+1[/tex] terms. If the given binomial has a term of [tex]20[/tex], then we have 21 terms and the fifteenth term of the polynomial corresponds to the [tex]14[/tex]-th term. Then, the fifteenth term of the binomial is:

[tex]c_{14} = \frac{20!}{14!\cdot 6!}\cdot (a^{6}\cdot b^{14})[/tex]

[tex]c_{14} = 38760\cdot a^{6}\cdot b^{14}[/tex]

The fifteenth term of the binomial expansion of [tex](a+b)^{20}[/tex] is [tex]38760\cdot a^{6}\cdot b^{14}[/tex].

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

15

Step-by-step explanation:

As we can see, we have the total ratio as;

5 + 2 + 1 = 8

Total of NQ is 24

The ratio accorded to NO is 5

so we have the length of NO as;

5/8 * 24 = 15

Hey, this is an ape3x question id really appreciate it if someone could help me on this..

Answers

Answer:

<4 and <8 are corresponding angle

Each side of a square is 3inches long.a student increases the length of each side by 3inches.the are of the new Square is how many times the area of original square?
A=2
B-3
C=4
D=a

Answers

The answer is Letter B

Complete the pattern: 2×4=8 20×4=80 200×4=800 2000×4=​

Answers

answer: 8000
just add another 0

Oliver lives in a state with no state income tax. He pays $180 in payroll tax each week. If the federal income tax is 0.75 of the payroll tax, how much are the other taxes?

Answers

Answer:

The other taxes are $135.

Step-by-step explanation:

From the information provided, you know that Oliver pays $180 in payroll tax and that the federal income tax is 0.75 of the payroll tax, so in order to find how much are the other taxes you have to calculate the 0.75 of the payroll tax Oliver pays:

180*0.75=135

According to this, the answer is that the other taxes are $135.

3. Which among the statements is true?

a. Every parallelogram is a rhombus.

b. Every rectangle is a square.

c. Every rhombus is a rectangle.

d. Every square is a rectangle.​

Answers

d) Every square is a rectangle.

See image for question.

Please show workings and diagrams.​

Answers

Answer:

a) 258 kmb) 267°c) 87°

Step-by-step explanation:

Refer to attached diagram (not to scale).Given details are reflected.

First find the measure of angle Q

m∠Q = 36° + (180° - 125°) = 91°

a) Use law of cosines to find x:

x = √(160² + 200² - 2160*200*cos 91°) = 258 km (rounded)

Use the law of sines to find the missing angles:

258 / sin 91 = 160 / sin R = 200 / sin Pm∠R = arcsin (160 sin 91° / 258) = 38°m∠P = 180° - (91° + 38°) = 51°

b) Bearing P from R:

360° - (55° + 38°) = 267°

c)  Bearing R from P:

36° + 51° = 87°

Answer:

a) Use law of consines to find x:

x=(160 2+200 2-2160×200× cos 91 grades) =258 km.

b) Bearning P from R:

360 grades - ( 55 degrees + 38 degrees)

The Pythagorean Theorem states that, in a right triangle, the square of the length of the hypotenuse equals the
sum of the squares of the lengths of the legs. Which of these models support the validation of this theorem?

Answers

Answer is h. I am still doing Pythagorean Theorem in geometry it sucks tho. But this was easy hope this helps

Grace earns $7 for each car she washes. She always saves $20 of her weekly earnings. This week, she wants to have at least $69 in spending money. How many cars must she wash? Enter and solve an inequality to represent this situation. Enter your value as a simplified mixed number, if necessary.

Answers

She needs to wash 9 cars for 69 dollars

Answer:

She need to wash 9 cars

Step-by-step explanation:

Tristan paid $17.50 to buy 2 pounds of peanuts and 3 pounds of cashews. Rivka paid $19.00 to buy 5 pounds of peanuts and 2 pounds of cashews. If both people paid the same price per pound, what was the price per pound for the cashews?

A. $2.00

B. $3.80

C. $4.50

D. $8.75

Answers

Answer:

C. $4.50

Step-by-step explanation:

hello, there.

1) 2p + 3c = 17.50

2) 5p + 2c = 19.00

:

Solve equation 1 for p

:

p = (17.50 - 3c) / 2

:

Substitute for p in second equation

:

(5(17.50 - 3c) / 2) + 2c = 19.00

:

Multiply both sides of = by 2

:

(5(17.50 - 3c)) + 4c = 38.00

:

87.50 - 15c + 4c = 38.00

:

-11c = -49.50

:

c = 4.50

:

---------

Cashews are $4.50 per pound

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

:have a great day.

Answer:

C

Step-by-step explanation:

Let p represent the cost for one pound of peanuts and let c represent the cost for one pound of cashews.

Two pounds of peanuts and three pounds of cashews cost $17.50. So:

[tex]2p+3c=17.5[/tex]

Five pounds of peanuts and two pounds of cashews cost $19.00. So:

[tex]5p+2c=19[/tex]

This yields a system of equations.

We can solve this using elimination. We can multiply the first equation by -5, and the second by 2. Therefore:

[tex]-5(2p+3c)=-5(17.5)[/tex]

Multiply:

[tex]-10p-15c=-87.5[/tex]

And:

[tex]2(5p+2c)=2(19)[/tex]

Multiply:

[tex]10p+4c=38[/tex]

Now, we can add the two equations together:

[tex](-10p-15c)+(10p+4c)=(-87.5+38)[/tex]

Combine like terms:

[tex]-11c=-49.5[/tex]

Therefore:

[tex]c=4.5[/tex]

So, a pound of cashews costs $4.50.

Our answer is C.

Notes:

To solve for the cost for peanuts, we can use the first (or second equation) again:

[tex]2p+3c=17.5[/tex]

Substitute:

[tex]2p+3(4.5)=17.5[/tex]

Solve for p:

[tex]2p+13.5=17.5\Rightarrow 2p=4\Rightarrow p=2[/tex]

So, a pound of peanutes cost $2.00.

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