A number is chosen at random from the whole numbers 1, 2, 3, ..., 50.

Work out the probability that the number is:

- an odd number or a factor of 10.

- a square number or a factor of 8.

- a multiple of 4 or a multiple of 5.

Answers

Answer 1

Answer:

3/5.

6/25

2/5.

Step-by-step explanation:

1. Prob(An odd number is drawn) = 25/50 = 1/2  (as a half of the numbers 1 - 50 are odd).

Prob (factor of 10 is drawn) = 5/50 = 1/10.     (10,20,30,40,50 are the factors).)

So Prob(odd or factor of 10 is drawn) = 1/2 + 1/10 = 6/10

= 3/5.

2. Square numbers are 1, 4, 9, 16, 25, 36 and 49. Probability = 7/50.

Factors of 8 are, 8, 16, 24, 32, 40, 48 .

we do not count 16 in our calculations because it is a square number and has been counted already so probability = 5/50

So the required probability = 7/50 + 5/50 = 12/50 = 6/25.

3. Multiples of 4 are 4, 8, 12, 16 , 20, 24, 28, 32, 36, 40, 44, 48. (12 numbers).

Probability of a multiple of 4 =  12/50.

Multiples of 5 are 5, 10, 15 , 20, 25, 30, 35, 40 , 45 , 50.

We don't count 20 or 40 as they are multiples of 4 so

Prob(multiple of 5) = 8/50

Required probability =  8/50 + 12/50 = 20/50

= 2/5.


Related Questions

Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?

Answers

Answer:

It has two solutions.

Step-by-step explanation:

Let as consider the given options are  

It has no solution.

It has one solution.

It has two solutions.

It has infinitely many solutions.

The given equation is

\(\dfrac{3}{4z}=\dfrac{1}{4z-3}+5\)

Multiply both sides by 4z(4z-3).

\(3(4z-3)=4z+5(4z(4z-3))\)

\(12x-9=4z+80z^2-60z\)

\(0=-12x+9+80z^2-56z\)

\(0=80z^2-68z+9\)

It is a quadratic equation.

Therefore, it has two solutions.

Answer:

It has 1 solution

Step-by-step explanation:

I did the test I put the guys above me in and got it wrong

Solve the following equation, using the Bhaskara formula: x² - 5x + 6 = 0

Answers

    \(x^2-5x+6=0\)

    \(x=\frac{-(-5)\pm\sqrt{(-5)^2-4\times1\times6}}{2\times1}\Leftrightarrow\)

\(\Leftrightarrow x=\frac{5\pm\sqrt{25-4\times6}}{2}\Leftrightarrow\)

\(\Leftrightarrow x=\frac{5\pm\sqrt{25-24}}{2}\Leftrightarrow\)

\(\Leftrightarrow x=\frac{5\pm\sqrt{1}}{2}\Leftrightarrow\)

\(\Leftrightarrow x=\frac{5\pm1}{2}\Leftrightarrow\)

\(\Leftrightarrow x=\frac{5-1}{2}\;\;\;\vee\;\;\;x=\frac{5+1}{2}\Leftrightarrow\)

\(\Leftrightarrow x=\frac{4}{2}\;\;\;\vee\;\;\;x=\frac{6}{2}\Leftrightarrow\)

\(\Leftrightarrow x=2\;\;\;\vee\;\;\;x=3\)

Answer:  \(x\in\{2\;;\;3\}\)

\(\sf\dfrac{-(-5)\pm\sqrt{\sf (-5)^2-4\cdot1\cdot6}}{2\cdot1}\)

\(\sf\dfrac{5\pm\sqrt{\sf 25-24}}{2}\)

\(\sf\dfrac{5\pm\sqrt{\sf 1}}{2}\)

\(\sf\dfrac{5\pm1}{2}\)

\(\sf x'=\dfrac{5-1}{2}~~~~~~x''=\dfrac{5+1}{2}\)

\(\sf x'=\dfrac{4}{2}~~~~~~~~~~~~x''=\dfrac{6}{2}\)

\(\sf x'=2~~~~~~~~~~~~~x''=3\)

⠀⠀

Solutions = {2, 3}

⠀⠀

⠀⠀

I hope that helps !!

the graph of g(x) = x³ -9x² + 3x -1 is translated up 5 units to produce the graph of the function h(x). what would be the new equation of h(x)​

Answers

Answer:

h(x) = x^3 - 9x^2 + 3x + 4

Step-by-step explanation:

To write the new equation, we have to understand what the translation is about

What it means is that we are going to add the 5 units to the total value of the equation

we have this as:

h(x) = x^3-9x^2 + 3x-1 + 5

h(x) = x^3 - 9x^2 + 3x + 4

PLS HELP ME AHHHHHHHHAASFVAFAFEAFBAFBAFB

PLS HELP ME AHHHHHHHHAASFVAFAFEAFBAFBAFB

Answers

Answer:

42/6

Each color blocks have 6 each, and they're 7 groups of them. Simple.

Which line shows non-proportional relationships?


Solve fast for 20 points brainliest

Which line shows non-proportional relationships?Solve fast for 20 points brainliest

Answers

Answer:

Line A

Step-by-step explanation:

one of the following steps is not required as a step to test for the null hypothesis: compute the p-value. compute the standard error of the slope estimate compute the t-statistic. test for the errors to be normally distributed.

Answers

One of the following steps is not required as a step to test for the null hypothesis is Compute the standard error of the slope estimate.

What is hypothesis testing?

Hypothesis testing is a statistical method for testing the validity of a hypothesis made about a parameter in a population. This method may be used to assess the truth of a hypothesis made about a population parameter.

A hypothesis testing problem involves determining whether there is enough evidence in a sample data to support the hypothesis about the population.

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In November, the price of a cell phone was double the price in March. In December, the price was $53, which was $25 less than the price in November.

What was the price of the cell phone in March?

The price of the cell phone in March was

Answers

Based on the price of the cell phone in November and December, the price of the cell phone in March was $39

How to find the price of the cell phone?

To find the price of the cell phone in March, you need to first find the price of the cell phone in November.

The price of the cell phone in November was $25 more than the price in December:

= 25 + 53

= $78

The price in November was double the price in March so the price in March was:

= 78 / 2

= $39

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Witch question is equivalent to (1/3)^x=27^x+2

Answers

To find an equivalent question to the equation (1/3)^x = 27^(x+2), we can rewrite the equation in a different form.

Let's start by expressing 27 as a power of 3. We know that 27 is equal to 3^3, so we can rewrite the equation as:

(1/3)^x = (3^3)^(x+2)

Next, we can simplify the right side of the equation by applying the properties of exponents. When raising a power to another power, we multiply the exponents. Therefore, we have:

(1/3)^x = 3^(3*(x+2))

Now, we can rewrite the equation as:

(1/3)^x = 3^(3x+6)

An equivalent question to the equation (1/3)^x = 27^(x+2) would be:

"What value of x satisfies the equation (1/3)^x = 3^(3x+6)?"

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Answers

Answer:

x = -2

Step-by-step explanation:

The root will touch the axis and bounce off when the exponent is even. In that case, that means (x + 2)² is the binomial that will bounce. Therefore, the root which bounces and touches the x-axis is x = -2.

the perimeter of the square piece of gold is 12 milllimeter. how long is each side

Answers

48 mm long

Since a square has all equal sides, it will be 12mm for all sides

Perimeter = L (Length) + W (Width) + L + W
(In this case since it’s a 2D shape)

12 + 12 + 12 + 12 = 48

Hope this helped :)

What is the slope between the following two points: (2,5) (−4,−6)

Answers

Answer:  1.83

Step-by-step explanation: I did the math

Use the Green's Theorem area formula, Area of R = 1/2 x dy - y dx, to find the area of the region, R. enclosed by the astroid, r(t) = (- 3 cos^3t)i + (- 3 sin^3t)j such that 0 le t le 2 pi. The area of R is_______.

Answers

To find the area of the region enclosed by the astroid curve, we can use the Green's Theorem area formula:

Area of R = 1/2 ∫(C) x dy - y dx,

where C is the curve that encloses the region R.

The parametric equation of the astroid curve is given by r(t) = (-3cos^3(t))i + (-3sin^3(t))j, where 0 ≤ t ≤ 2π.

To apply the Green's Theorem, we need to find the derivatives of x and y with respect to t:

dx/dt = d/dt(-3cos^3(t)) = 9cos^2(t)sin(t),

dy/dt = d/dt(-3sin^3(t)) = -9sin^2(t)cos(t).

Now we can calculate the area:

Area of R = 1/2 ∫(C) x dy - y dx

= 1/2 ∫(0 to 2π) [(-3cos^3(t))(dy/dt) - (-3sin^3(t))(dx/dt)] dt.

Substituting the values of dx/dt and dy/dt, we have:

Area of R = 1/2 ∫(0 to 2π) [(-3cos^3(t))(-9sin^2(t)cos(t)) - (-3sin^3(t))(9cos^2(t)sin(t))] dt

= 1/2 ∫(0 to 2π) [27cos^4(t)sin^2(t) + 27cos^2(t)sin^4(t)] dt

= 27/2 ∫(0 to 2π) cos^4(t)sin^2(t) + cos^2(t)sin^4(t) dt.

This integral is a bit involved to evaluate analytically, so numerical methods or software can be used to approximate the value.

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What are all possible values of x that make a true statement?
95 – 2x < 7 (15x – 17)

Answers

Answer:

x = 2

Step-by-step explanation:

From the question we are given the algebraic sign with the Inequality sign

95 - 2x < 7 (15x - 17)

In order to find all the possible values of x that makes the algebraic expression true ,

We solve for this by convert the less than(<) sign to =

A true statement or algebraic expression is when both values on the left hand side and right hand side of and algebraic expression is the same of equal to each other.

Therefore:

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

Collect like terms

95 + 119 = 105x + 2x

214 = 107x

x = 214/107

x = 2

In other to confirm if x = 2 makes the expression true

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

95 - 2 × 2 = 105 × 2 - 119

95 - 4 = 210 - 119

91 = 91

Therefore, the possible values for x that make the statement true is x = 2

This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample. simple random sample stratified random sample cluster random sample Voluntary random sample

Answers

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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If the negation operator in propositional logic distributes over the conjunction and disjunction operators of propositional logic then DeMorgan's laws are invalid. True False p → (q→ r) is logically equivalent to (p —— q) → r. True or false?

Answers

It should be noted that the correct statement is that "p → (q → r)" is logically equivalent to "(p ∧ q) → r".

How to explain the information

The negation operator in propositional logic does indeed distribute over the conjunction and disjunction operators, which means DeMorgan's laws are valid.

DeMorgan's laws state:

¬(p ∧ q) ≡ (¬p) ∨ (¬q)

¬(p ∨ q) ≡ (¬p) ∧ (¬q)

Both of these laws are valid and widely used in propositional logic.

As for the statement "p → (q → r)" being logically equivalent to "(p ∧ q) → r", this is false. The correct logical equivalence is:

p → (q → r) ≡ (p ∧ q) → r

Hence, the correct statement is that "p → (q → r)" is logically equivalent to "(p ∧ q) → r".

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Evaluate the expression when y=5.
y2 - 5y+3

Answers

\(Given\:equation\:=\:{y}^{2}\:-\:5y\:+\:3\)

value of y = 5

so now evaluating y = 5

\(⟶\:{y}^{2}\:-\:5y\:+\:3\)

\(⟶\:{5}^{2}\:-\:5(5)\:+\:3\)

\(⟶\:25\:-\:25\:+\:3\)

\(⟶\:3\)

What is the ratio of protonated/deprotonated acetic acid at ph 1.8, 5.8, and 10.8?

Answers

The ratio of protonated/deprotonated acetic acid at the given pH is:

pH 1.8: 1000:1, pH 5.8: 1:10, pH 10.8: 1:1000000

What is acetic acid?Acetic acid, also known as ethanoic acid, is a colorless liquid with a strong, vinegar-like odor. It is referred to as glacial acetic acid when it is pure (100% acetic acid). Acetic acid is a byproduct of fermentation that gives vinegar its distinctive aroma. Vinegar contains approximately 4-6% acetic acid in water. More concentrated solutions are available in laboratories, and glacial acetic acid is pure acetic acid containing only traces of water. Human Reactions: Acetic acid, in vapor form, is a severe irritant to the eyes, mucous membranes, upper respiratory tract, and skin. When acetic acid solutions of 80% or higher come into contact with the skin or eyes, they can be corrosive, causing severe burns to any exposed tissue.The protonated/deprotonated acetic acid pH 1.8, 5.8, and 10.8 ratios are 1000:1, 1:10, and 1:1000000, respectively.

Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:

pH 1.8: 1000:1, pH 5.8: 1:10, pH 10.8: 1:1000000

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The distance from Joshua's house to the mall is 3.5 miles. The distance from Meg's house to the mall is 19,000 feet. Who lives closer to the mall, Joshua or Meg?

Answers

Answer:

i think its Joshua

What is the equation of the line that passes through the points (-6,-5) and (-3,0)?

Answers

Answer:

y--3=5(x--6)=5x-y+27

Step-by-step explanation:

mrk me brainliest plz

Suppose your friend is thinking of opening a new restaurant, and hopes to have around 16 groups of (on average) 4 customers on a typical busy evening. Each meal will take around 1.6 hours and it is expected that on average a table will be used twice in an evening. Each table and its surroundings will require 5.3 square metres of space. Assume customers arrive in two streams (e.g., at 5 pm or at 7 pm).
a. Calculate the required seating area. (Round the final answer to 1 decimal place.)
Seating area ______ m²
b. If each meal will take an average of 10 minutes to cook on a heating element, and each stove will have 4 elements, how many stoves would the restaurant require?

Assume that all 8 "tables" could come at the same time and that the kitchen should be able to cook the meal for them during the first hour of their visit. (Round the final answer to the next whole number.)
No. of stoves ______

Answers

Answer and Explaination:
a. To calculate the required seating area for the restaurant, we need to consider the average number of customers per group, the number of groups, and the space required per table.

Given:

Average number of customers per group = 4

Number of groups = 16

Space required per table and surroundings = 5.3 square meters

To calculate the required seating area, we can use the following formula:

Seating area = Number of groups * (Average number of customers per group / 2) * Space required per table

Seating area = 16 * (4 / 2) * 5.3

Seating area = 16 * 2 * 5.3

Seating area = 169.6 square meters

Therefore, the required seating area for the restaurant is approximately 169.6 square meters.

b. To determine the number of stoves required for the restaurant, we need to consider the average cooking time per meal, the number of elements per stove, and the total number of meals.

Given:

Average cooking time per meal = 10 minutes

Number of elements per stove = 4

To calculate the number of stoves, we divide the total cooking time by the average cooking time per stove:

Number of stoves = (Total cooking time) / (Average cooking time per stove)

Total cooking time = Number of groups * (Number of meals per table) * (Average cooking time per meal)

Number of meals per table = 2

Total cooking time = 16 * 2 * 10

Total cooking time = 320 minutes

Number of stoves = 320 minutes / 10 minutes per stove

Number of stoves = 32

Therefore, the restaurant would require 32 stoves.

which of the following is considered diversity? select one: a. life experiences b. educational background c. where someone is from d. how old someone is e. all of these

Answers

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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3 divided by 64,126

Answers

Answer:

00.00004678289

Step-by-step explanation:

true or false the effect size for a regression analysis will be equal to the coefficient of determination

Answers

The statement 'the effect size for a regression analysis will be equal to the coefficient of determination' is True

In this question we have been given a statement 'the effect size for a regression analysis will be equal to the coefficient of determination'

We need to state whether the given statement is true or false.

We know that the effect size measures the strength of the relationship between two variables on a numeric scale.

And the coefficient of determination(R²) measures how well a statistical model predicts an outcome. It is a number between 0 and 1.

R² is a measure of effect size

Therefore, 'the effect size for a regression analysis will be equal to the coefficient of determination' is True.

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please help, it’s urgent

please help, its urgent

Answers

Answer:

x= 102 degrees

Step-by-step explanation:

It is an isosceles triangle, which means that it has two equal sides and angles, so the angles opposite of 3.3 are going to be the same or 39 degrees, which means, 39 + 39 is 78 and 180 - 78 is 102 and x=102 degrees.

determine the values of x. rest of equation is uploaded below. ​

determine the values of x. rest of equation is uploaded below.

Answers

Answer:

M=√1/4–x

4–x=0

–x=0–4

–x=–4

you divide ➗ both sides by–1

–x/1=–4/–1

x=4

Step-by-step explanation:

x=4(undefined expression)

jesse was ranked 45th in his graduating class of 180 students. at what percentile is jesse's ranking? (round your answer to the nearest whole number.)

Answers

Jesse's ranking is 25th percentile.

Jesse's ranking can be calculated using the following formula:

Percentile = (Jesse's ranking / Total number of students in class) x 100

In this case, Percentile = (45/180) x 100 = 25th Percentile

Therefore, Jesse's ranking is 25th percentile.

To calculate percentile, we divide the rank of the student with the total number of students in the class and then multiply the result with 100. In this case, Jesse was ranked 45th in a class of 180 students and so his percentile is 25%. Percentile is a measure that helps us to compare individuals in a group. It helps us to know the relative performance of a person in a given group of people. Generally, a higher percentile indicates better performance than the other students in the group.

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Construct triange ABC, in which AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. Measure the length of BC. Give your answer to 1 d. P

Answers

From the construction of the triangle ABC we get that the measure length of BC is approximately 4.22cm

To construct triangle ABC, we can follow these steps:

Draw a line segment AB of length 6 cm.Draw an angle of 96 degrees at point A using a protractor.Draw an angle of 35 degrees at point B using a protractor.The intersection point of the two lines that were drawn in step 2 and 3 will be point C, which is the third vertex of the triangle.

To measure the length of BC in triangle ABC, we can use the law of sines.

The law of sines states that in any triangle ABC:

a / sin(A) = b / sin(B) = c / sin(C)

Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.

In our triangle ABC, we know AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. We can find the measure of angle ACB by using the fact that the sum of the angles in a triangle is 180 degrees:

angle ACB = 180 - angle BAC - angle ABC

= 180 - 96 - 35 = 49 degrees

Now, we can apply the law of sines to find the length of BC:

BC / sin(35) = 6 / sin(96)

BC = 6 × sin(35) / sin(96)

Using a calculator, we can evaluate this expression to get:

BC ≈ 4.22 cm

Therefore, the length of BC in triangle ABC is approximately 4.22 cm.

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Construct triange ABC, in which AB = 6 cm, angle BAC = 96 degrees and angle ABC = 35 degrees. Measure

6. Simplify:
√900+ √0.09+√0.000009

Answers

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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if your heat beats 75times per minute how many time does it beat in 5 hours​

Answers

Answer:

This is your answer . IfI'm right so,

Please mark me as brainliest. thanks!!!

if your heat beats 75times per minute how many time does it beat in 5 hours

Hair is a trapezium drawn on a centimetre grid not trying to scale work out the area of the trapezium state in the units of your answer. 2 marks

Answers

Answer:

\(Area = 18\)

Step-by-step explanation:

Given;

\(a = 2\\ h = 4\\ b=7\)

See attachment for trapezium

Required

The area

From the attachment, the formula is:

\(Area = \frac{1}{2} * (a + b) * h\)

\(Area = \frac{1}{2} * (2 + 7) * 4\)

\(Area = \frac{1}{2} * 9 * 4\)

\(Area = 18\)

Hair is a trapezium drawn on a centimetre grid not trying to scale work out the area of the trapezium
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