Find the probability of the following event

You roll a prime number

Answers

Answer 1

Answer:

4/6

Step-by-step explanation:

A die can roll out six numbers from 1 to 6.

Prime numbers from 1 to 6 are: 1,2,3,5

4 out of 6 are prime


Related Questions

Is the histogram uniform, symmetric, or skewed?

A. uniform
B. symmetric
C. skewed

Is the histogram uniform, symmetric, or skewed?A. uniformB. symmetricC. skewed

Answers

Answer:

symmetric

Step-by-step explanation:

i just did this unit

I need help with question C

I need help with question C

Answers

fist, you have to know to use the sin rule


This is because we have to find what x is equal to (which is the hypotenuse)


Then we have to realise that we also have 2m, which is the opposite side (because it's the opposite angle to the adjacent side)

Then we make an equation


sin30 degrees = 2 divided by x


Move x to the left side and move sin30 degrees to the right side


So our equation is


x= 2 divided by sin30


Which is 4.


So x is equal to four metres.


1. A room is 5 m by 3m. What is the area of the room?​

Answers

Answer:

15m2 is the answer my friend.....

Answer:

Step-by-step explanation:

All you would do is multiply the length and the width, so you would multiply 5m by 3m and get 15m as your answer.

At age 20, someone sets up an IRA (individual retirement account) with an APR of 5%. At the end of each month he deposits $65 in the account. How much will the IRA contain when
←he
retires at age 65? Compare that amount to the total deposits made over the time period.
After retirement the IRA will contain $ 131,718.42
(Do not round until the final answer. Then round to the nearest cent as needed.)
The total deposits made over the time period is $
(Type a whole number)
CETT

Answers

Answer:

  total deposits: $35,100

Step-by-step explanation:

You have the value of an annuity earning 5% with payments of $65 a month for 45 years as $131,718.42. You want to know the total value of payments.

Payments

12 payments per year of $65 for 45 years will have a total value of ...

  12·65·45 = 35100

Total deposits will be $35,100.

William leaves his home at 15:03 and walks for 12 minutes to Euston station.
He spends 4 minutes buying a ticket and then catches the next train to Bletchley.
What time will he arrive at Bletchley?
Train timetable
Euston
14:49 15:18 15:29
14:52
15:32 15:35
Harrow
Watford 15:01
15:30
15:41 15:44 16:11
Hemel
15:39 15:50
15:53
16:20
Tring
15:31
16:00
Q
16:14 16:41
Bletchley 15:47
16:16
16:30
Bedford 15:54 16:23 16:34 16:37 17:04
15:32 15:59

Answers

William catches the train from Euston station to Bletchley. According to the timetable, the next train from Euston to Bletchley departs at 15:32. William spends 4 minutes buying a ticket, so he will board the train at 15:36.

To find out what time he will arrive at Bletchley, we need to look at the arrival time for the train that departs Euston at 15:32. According to the timetable, this train arrives at Bletchley at 16:16.

William spends 12 minutes walking to Euston station and 4 minutes buying a ticket, so his total journey time is 12 + 4 + 44 = 60 minutes (since there are 60 minutes in an hour). Therefore, he will arrive at Bletchley at 16:16 + 60 minutes = 17:16.

So, William will arrive at Bletchley at 17:16.

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

What’s the circumference of a circle with radius of 10 inches? Use 3.14 for pie

Answers

62.83 is the answer.

You do 2pi x the radius (10) to get the circumference of a circle

Write the following set in roster method:
The set of states in the United States whose names begin with the letter T.

Please help I’ll give brainliest to whoever knows the answer!! Thank you!!

Answers

Answer:

the great

Step-by-step explanation:

usa united states

Find the value of xxx in the triangle shown below

Find the value of xxx in the triangle shown below

Answers

THIS ANSWER WAS DELTED FROM  BRAINLY

Question: Find the value of xxx in the triangle shown below

Answer: Pg.21607062  

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2-19-21

Answer:

x = 70

Step-by-step explanation:

Find the value of xxx in the triangle shown below

Find the LCM for
10, 50, and 20

Answers

Answer: The LCM is 100

Step-by-step explanation: source: trust me bro

Answer:

100

Step-by-step explanation:

In June, Lupita saved $115 for retirement. In July, she saved $165. To the nearest percent, what was the increase in Lupita's retirement savings from June to July?

Answers

To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.

What is a percentage?

A percentage is a term used in mathematics to describe a value or ratio that may be expressed as a fraction of 100. If we need to calculate a percentage of a number, we should first divide it by 100 before multiplying it by the remainder. Consequently, the percentage refers to a portion per hundred.

Given that Lupita had $115 in her bank account at the beginning of June

The amount Lupita had set aside climbed to $165 in July.

We are expected to calculate the percentage growth in money.

% increase

\(= {(165 - 115) / 115 } × 100 = 43.48%. ≈ 44%\)

To the nearest percentage point, Lupita's retirement funds increased by 44% from June to July.

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Is this statement true or false?



Ore is a chunk of rock that contains a large amount of metal. Most minerals come from rock that is mined from the Earth’s crust^,^

Answers

True
Explanation: I know stuff

Which ordered pair is a solution of the equation?
-2 - 4y = -10

Answers

Answer:

the linear equation is y=2 so anything that lands on that line after it is graphed, so the option (3,2)

Step-by-step explanation:

help me quick please

help me quick please

Answers

Answer:

(4, 0)

Step-by-step explanation:

To solve a linear system of equations graphically, graph the given equations and locate where the two lines intersect. The point of intersection is the solution to a system of linear equations.

Given linear system of equations:

\(\begin{cases}y=-\dfrac{1}{2}x+2\\3x-2y=12\end{cases}\)

Rewrite the second equation to make y the subject:

\(\implies 3x-2y=12\)

\(\implies 3x-12=2y\)

\(\implies y=\dfrac{3}{2}x-6\)

To graph a linear equation, find two points on the line by substituting two values of x into the equation.  Plot the points and draw a straight line through them.

Equation 1

\(x=0 \implies y=-\dfrac{1}{2}(0)+2=2 \implies (0, 2)\)

\(x=6 \implies y=-\dfrac{1}{2}(6)+2=-1 \implies (6,-1)\)

Equation 2

\(x=0 \implies y=\dfrac{3}{2}(0)-6=-6 \implies (0,-6)\)

\(x=6 \implies y=\dfrac{3}{2}(6)-6=3 \implies (6, 3)\)

From inspection of the graph (see attached), the point of intersection is (4, 0).

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help me quick please

Solve the two simultaneous equations.
You must show all your working.
3t+2p=15.5
5t+4p=28.5

Answers

Answer:

Given equations are,

5x+2y=−2        (1)

3x−5y=17.4      (2)

Multiply equation (1) by 5 and equation (2) by 2, we get,

5(5x+2y)=5×−2

∴25x+10y=−10          (3)

2(3x−5y)=2×17.4

∴6x−10y=34.8          (4)

Adding equations (3) and (4), we get,

31x=24.8

∴x=

31

24.8

Put this value in equation (1), we get,

5(

31

24.8

)+2y=−2

31

124

+2y=−2

∴2y=−2−

31

124

∴2y=

31

−186

∴y=

31

−93

Step-by-step explanation:

Solve the equation.

4/5 + x = 3/7

a. 13/15
b. - 1/2
c. 1 8/35
d. - 13/35​

Answers

Answer:

-13/35

Step-by-step explanation:

multiply each side of equation by LCD of 5 and 7 (which is 35) to eliminate fractions

you get, 28 + 35x = 15

35x = -13

Answer:

-13/35

Step-by-step explanation:

4/5 + x = 3/7

subtract both sides by 4/5

x = \(\frac{3}{7} - \frac{4}{5}\)

find the common denominator of 5 and 7

x = \(\frac{15}{35} - \frac{28}{35}\)

x = -13/35

A, B and C lie on a straight line.
Given that angle y = 110° and angle z = 99°, work out x.

Answers

Answer:

\(since \: the \: sum \: of \: these \: angles \: is \: greater \: than \: 180° \\ they \: must \: be \: angles \: at\: a \: point \: in \: the \: circle \\ 110° + 99° + x = 360° \\ x = 360° - (110° + 99°) \\ x = 151°\)

The daily listening audience of an AM radio station is four times as large as that of its FM sister station. If 105,000 people listen to these two radio stations, how many listeners does the FM station have?

Answers

The number of listeners is given from the total number of listeners and

the ratio of the listeners between the two stations.

Required:

The FM sister station has 21,000 listeners

How is the given ratio of listeners used to find the number of listeners?

Given:

The daily listening audience of the AM station = 4 × The audience of the FM sister station

The number of people that listen to the two stations = 105,000

Required:

The number of listeners of the FM station

Solution:

The ratio of the listeners is 1:4

Let x represent the number of listeners of the FM sister station, we have;

The number of listeners of AM radio station = 4·x

Which gives;

4·x + x = 105,000

5·x = 105,000

\(x = \dfrac{105,000}{5} = \mathbf{21,000}\)

The number of listeners of the FM sister station, x = 21,000

The number of listeners of he radio station = 21,000 × 4 = 84,000

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present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.​

Answers

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Calculating the duration to get the sum to 45

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Help I don’t get this at all and I need a answer fast

Help I dont get this at all and I need a answer fast

Answers

Answer:

3+x = y+6

Step-by-step explanation:

I hope this helps a little i have done algebra in a hot minute

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,120 ft Determine the flag's width and length if the length is 400 ft greater than the width.

The flag's width is and the length is what?

PLEASE HURRY

Answers

Answer:

Step-by-step explanation:

Let's assume that the width of the flag is "w" ft.

According to the problem, the length of the flag is 400 ft greater than the width, which means it can be expressed as:

length = w + 400

Now, we know that the perimeter of the flag is 2,120ft. The perimeter of a rectangle is given by:

perimeter = 2(length + width)

Substituting the values, we get:

2120 = 2[(w+400) + w]

2120 = 2[2w + 400]

2120 = 4w + 800

4w = 1320

w = 330

Hence, the width of the flag is 330ft.

From our equation for the length, we have:

length = w + 400

length = 330 + 400

length = 730

Therefore, the length of the flag is 730ft.

The question is attached below

The question is attached below

Answers

The expected number of pizzas to be stuffed crust is given as follows:

500.

How to calculate a probability?

The parameters that are needed to calculate a probability are listed as follows:

Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The sample size is given as follows:

408 + 224 + 208 + 200 = 1040.

Out of these, 208 are stuffed crust, hence the probability is given as follows:

p = 208/1040.

Out of 2500 pizzas, the expected number is then given as follows:

E(X) = 2500 x 208/1040

E(X) = 500.

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Dinner costs $34.00 You also leave a 20% tip. How much did you pay
in total?
PLEASE ANSWER QUICKLY

Answers

Answer:

$40.80

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percent, this is always done by simply dividing the percent, in this case, 20%, by 100%. So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $34.00 meal cost is. This is always done by multiplying 0.20 by $34.00, or 0.20 x $34.00=$6.80. So, the amount of tip you are going to leave is $6.80.

This makes the total cost of your meal (to write on your charge slip or other payment)

$34.00 + $6.80 = $40.80.

Answer:

$40.80

Step-by-step explanation:

If you pay for the original cost of the dinner AND leave a 20% tip then the total amount paid will be 120% of the original cost (100% + 20% = 120%).

Convert 120% into a decimal:  120% = 120/100 = 1.2

So 120% of $34.00 = 1.2 × 34 = $40.80

Without doing calculations choose the equation that you can NOT use to answer the question. What number is 55% of 80?

Answers

Answer: See explanation

Step-by-step explanation:

You didn't specify the equations but let me solve the question.

55% of 80.

The above statement simply means that you need to multiply 55% by 80. This will be:

= 55% of 80

= 55/100 × 80

= 0.55 × 80

= 44

Therefore, 55% of 80 is 44

Based on your question, any other equation that doesn't give 44 as an answer cannot be used to answer the question.

For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 20/21.Find the value of cos(A-B)cos(A−B) in simplest form.

Answers

The value of cos(A-B)cos(A−B) in the simplest form is 76/861

What is acute angles?

The angles having measures less than 90° is considered as an acute angle.

Given that, For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 20/21.

Finding sinA and cosB,

cos²x+sin²x = 1

Therefore,

sinA = \(\sqrt{1-cos^{2}A}\)

sinA = √1-(⁴⁰/₄₁)²

sinA = 9/41

Now,

cosB = \(\sqrt{1-sin^{2}B }\)

cosB = √1-(²⁰/₂₁)²

cosB = √41/21

Using formula,

cos(A+B)cos(A−B) = (cosAcosB−sinAsinB)

cos(A+B)cos(A−B) = [40/41x√41/21]-[9/41x20/21]

= 40√41/861-180/861

= [256-180]/861

= 76/861

Hence, the value of cos(A+B)cos(A−B) is 76/861

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The slope of the line is m=3/4. One point is (x, 2) and (3,-4)
Find X

Please helppppp

Answers

Answer:

x = 11

Step-by-step explanation:

Given that,

The slope of the line, m = 3/4

First point = (x,2)

Another point = (3,-4)

We need to find the value of x.

The slope of a line is given by the formula as follows :

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Put x₁ = x, y₁ = 2, x₂ = 3, y₂ =-4 and m = 3/4

Put all the values,

\(\dfrac{3}{4}=\dfrac{-4-2}{3-x}\\\\3(3-x)=4(-6)\\\\9-3x=-24\\\\9+24=3x\\\\33=3x\\\\x=11\)

So, the value of x is 11.

Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C​

Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization

Answers

Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

What is a production possibilities curve?

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Technology is fixed.Resources are fixed.

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.

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Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization

Thank you for the help!

Thank you for the help!

Answers

Answer:

c 57

Step-by-step explanation:

Can anybody help meeeeeeeeeeee

Answers

Answer:

yeah I Wii help you to your problem

Answer:

ok ques

Step-by-step explanation:

Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly chosen student took Form B and did not pass?

Answers

Answer:

0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Took Form B.

Event B: Did not pass.

Half of a class took Form A of a test, and half took Form B.

This means that \(P(A) = 0.5\)

Of the students who took form B, 39% passed.

So 100 - 39 = 61% did not pass, which means that \(P(B|A) = 0.61\).

What is the probability that a randomly chosen student took Form B and did not pass?

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

\(P(A \cap B) = P(B|A)*P(A) = 0.61*0.5 = 0.305\)

0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass

Question 6 (1.25 points)
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000. A random sample of 53 lawyers selected from the city
reveals a mean annual salary of $114,000. Assume that o = $17,000, and that the
test is to be made at the 1% significance level.
What is the value of the test statistic, z, rounded to three decimal places?
A

Answers

Answer:

Test statistic Z= 1.713

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

Step-by-step explanation:

Step(i):-

A researcher wants to test if the mean annual salary of all lawyers in a city is

different from $110,000

Mean of the Population  μ = $110,000

Sample size 'n' = 53

Mean of the sample x⁻ = $114,000.

standard deviation of the Population = $17,000,

Level of significance = 0.01

Null hypothesis :

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

H₀:  x⁻ =  μ

Alternative Hypothesis :  x⁻ ≠  μ

Step(ii):-

Test statistic

                 \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

                 \(Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }\)

                Z =  1.7130

Tabulated value Z = 2.576 at 0.01 level of significance

The calculated Z- value =  1.7130 < 2.576 at 0.01 level of significance

Null hypothesis is accepted

There is no difference between the  mean annual salary of all lawyers in a city is  different from $110,000

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