What is the least common multiple of 9 and 8

Answers

Answer 1

Answer:

Frequently Asked Questions on LCM of 8 and 9

Find the prime factorization of 8 8 = 2 x 2 x 2

Find the prime factorization of 9 9 = 3 x 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm: LCM = 72 = 2 x 2 x ...

Therefore, the least common multiple of 8 and 9 is 72.

Step-by-step explanation:

Related Questions

In a food preference experiment, 80 lizards were given the opportunity to choose to eat one of three different species of insects. The results showed that 33 of the lizards chose species A, 12 chose species B, and 35 chose species C. They conducted a Chi-squared analysis to test for equal preference. What are the Null and Alternate hypothesis for this test

Answers

Answer:

H0 : The variables are independent

H1 : The variables are not independent

Step-by-step explanation:

In a Chisquare test ; The null hypothesis is used to lay claim that the variables are independent, that is no relationship exists between the categorical variables in the population while the alternative hypothesis negates the null thus claiming that the variables aren't independent.

The null hypothesis, H0 : The variables are independent, A = B = C

The alternative hypothesis ; H1 : The variables are not independent, A ≠ B ≠ C

An article in the Journal of Composite Materials describes the effect of delamination on thenatural frequency of beams made from composite laminates. Five such delaminated beams were subjected to loads, and the resulting frequencies were as follows (in Hz):
230.66, 233.05, 232.58, 229.48, 232.58
(a) Find a 90% two-sided CI on mean natural frequency. Round your answers to 2 decimal places.
(b) Do the results of your calculations support the claim that mean natural frequency is 235 Hz?
(A). _____________<= U<= _______________
(B). YES OR NO ?

Answers

Answer:

(230.21 ; 233.13)

Step-by-step explanation:

Given the data :

230.66, 233.05, 232.58, 229.48, 232.58

To calculate the 90% CI

WE obtain the mean and standard deviation of the sample data :

Mean of sample, ΣX /n = 1158.35/5 = 231.67

The standard deviation of the sample, s = 1.531 (Using calculator).

(The 90% Tcritical value, 2 sided, df = 4) = 2.132

The confidence interval, CI :

Mean ± Tcritical * s/√n

C.I = 231.67 ± (2.132 * (1.531/√5)

C. I = 231.67 ± 1.4597

(231.67 - 1.4597) ; (231.67 + 1.4597)

(230.21 ; 233.13)

Find f(2) given f(x) = -3x^2 + 2x+11

Answers

Answer:

Answer:f(2)=-3(2)^2+2*2+11

Answer:f(2)=-3(2)^2+2*2+11 =-3*4+4+11

Answer:f(2)=-3(2)^2+2*2+11 =-3*4+4+11 =-12+4+11

Answer:f(2)=-3(2)^2+2*2+11 =-3*4+4+11 =-12+4+11 =3

hence, f(2)=3

A recipe calls for 4 cups of flour and 6 cups of sugar. How many cups of sugar per cup of flour does the recipe require?

Answers

Answer:

3 cups of sugar per 2 cups of flour

Step-by-step explanation:

just flip and simplify the fraction

4/6 = 6/4 = 3/2

It takes Jacob and Hannah a hours to do
a certain job, it takes Jacob and Ethan b
hours to do the same job and it takes
Hannah and Ethan c hours to do the
same job. How long would it take Jacob,
Hannah and Ethan to do the same job if
all of them worked together?

Answers

Step-by-step explanation:

Kym teaches sixth grade students in an urban school where most of the families in the community live below the poverty line. Each year the majority of the students in her school fail the statewide tests. Kym follows school district teaching guides and typically uses direct instruction in her Language Arts and Social Studies classes. The classroom assessments are designed to mirror those on the statewide tests so the students become familiar with the assessment format.

13. Find the slope of the line that passes through (1, 8) and (-3, 12).

Answers

Answer:

-1

Step-by-step explanation:

Slope formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

x1 = 1

y1 = 8

x2 = -3

y2 = 12

[tex]\frac{12-8}{-3-1}[/tex]

[tex]\frac{4}{-4}[/tex] = -1

bHhHshsbsnsnsnsnsnsbsbsbckclccllcxldkdldkdkdk HELP

Answers

Answer:

Step-by-step explanation:

The reasons for each statement are inside the parentheses

1. <1 and <2 are complementary (given)

2. m<1 + m<2 = 90° (definition of complementary angles)

3. m<2 = 74° (given)

4. m<1 + 74° = 90° (Substitution)

5. m<1 = 16° (Subtraction property of equality)

This is gotten by subtracting 74° from both sides as follows:

m<1 + 74° - 74° = 90° - 74°

m<1 = 16°

A regular six sided die is to be rolled once what is the probability that a number less than three is rolled

Answers

Answer:

1/3

Step-by-stepi

White colour is painted in 2 ft wide which lies inside from both sides in the basketball court of length 78 ft and breadth 46 ft . find the area of the painted part.

Answers

Answer:

L1=78

W1=46

L2=78+4=82

W2=46+4=50

Area=L2×W2-L1×W1

82×50-78×46

Ans- 512ft^2

Write an algebraic expression for each person’s share, if P people share 16 slices of pizza equally.

Answers

Answer:

P /16

Step-by-step explanation:

Take the total amount, P and divide by the number of people sharing, 16

P /16

A couple decide to have 5 children what if the probability that they will have at least one girl

Answers

The chance that they will have one girl is 1:5 because they are having 5 children and one is going to be a girl

Answer:

31/32

Step-by-step explanation:

There are 2^5, or 32 combinations.

There is only 1 combination which is all 5 children are boys.

So the probability that will have at least 1 girl is: 1 - 1/32 = 31/32

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 2.1yd : 1.4yd

Answers

9514 1404 393

Answer:

3/2

Step-by-step explanation:

Multiplying numerator and denominator by 10 will convert the ratio to a ratio of whole numbers. Then dividing by the common factor of 7 will reduce it to simplest form.

[tex]\dfrac{2.1\text{ yd}}{1.4\text{ yd}}=\dfrac{2.1\times10}{1.4\times10}=\dfrac{21}{14}=\dfrac{3\times7}{2\times7}=\boxed{\dfrac{3}{2}}[/tex]

With one alarm clock, we have a 0.875 probability of being awakened. What is the probability of being awakened if we are using two alarm clocks?(

Answers

It will be the same bc two alarms will ring at the same time.

The probability will be the same for both clocks.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

With one alarm clock, we have a 0.875 probability of being awakened.

The probability for the two clocks will be the same because both the clocks will ring at the same time.

To know more about probability follow

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Help with 5b please . thank you.

Answers

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

f'(x)=(0+1)/(1+x)-(1)+x

f'(x)=1/(1+x)-(1)+x

We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

1/(1+x)-(1)+x=0

Find common denominator:

1/(1+x)-(1+x)/(1+x)+x(1+x)/(1+x)=0

(1-1-x+x+x^2)/(1+x)=0

A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

The diameters of ball bearings are distributed normally. The mean diameter is 7373 millimeters and the variance is 44. Find the probability that the diameter of a selected bearing is less than 7676 millimeters. Round your answer to four decimal places.

Answers

Answer:

0.9332

Step-by-step explanation:

We are given that

Mean diameter, [tex]\mu=73[/tex]

Variance, [tex]\sigma^2=4[/tex]

We have to find the probability that the diameter of a selected bearing is less than 76.

Standard deviation, [tex]\sigma=\sqrt{variance}=\sqrt{4}=2[/tex]

[tex]P(x<76)=P(\frac{x-\mu}{\sigma}<\frac{76-73}{2})[/tex]

[tex]P(x<76)=P(Z<\frac{3}{2})[/tex]

Where [tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]P(x<76)=P(Z<1.5)[/tex]

[tex]P(x<76)=0.9332[/tex]

Hence, the probability that the diameter of a selected bearing is less than 76=0.9332

Geometry homework due tonightttt worth 50 points

Answers

Answer:

Angle 2 = 180 - 76 = 104 (linear pair)

angle 3 = 76 (vertically opposite angles)

angle 4 = 104(vertically opposite angles)

Answer:

m∠2 = 104°m∠3 = 76°m∠4 = 104°

Step-by-step explanation:

Concept:

Here, we need to know the idea of supplementary angles and linear pairs.

Supplementary angles are two angles or arcs whose sum is 180 degrees.

A linear pair of angles are formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees.

Linear pair and supplementary angles are conveying the same meaning. However, linear pair is describing the "appearance" of the two angles as they form a line which is 180 degrees. On the other hand, supplementary angles are the properties stating two angles adds up to 180 degrees, but are not required to be together.

If you are still confused, you can refer to the attachment below for a graphical explanation.

Solve:

∠1 and ∠2 are linear pairs and supplementary to each other forming 180°

m∠2 = 180 - 76 = 104°

∠2 and ∠3 are linear pairs and supplementary to each other forming 180°

m∠3 = 180 - 104 = 76°

∠3 and ∠4 are linear pairs and supplementary to each other forming 180°

m∠4 = 180 - 76° = 104°

Hope this helps!! :)

Please let me know if you have any questions

It costs a clothing company $463.45 to make 169 T-shirts.

What is the unit price for 1 T-shirt?

Answers

Answer:

The unit price for 1 T-shirt is about $2.74.

Step-by-step explanation:

Set up an equation:

Variable x = unit price for 1 T-shirt

169x = 463.45

Divide both sides by 169:

x = 2.742307...

Round to the nearest cent:

x = 2.74

Alejandro wants to determine how much money he made in the last month after taxes, social security, and Medicare were taken out of his paycheck. What number should he look at on his paystub? O a) Federal tax amount b) Net pay O c) Gross pay O d) Deductions

Answers

Answer:

absolutely B

Step-by-step explanation:

A is one type of tax

C) gross pay includes taxes, social security and something else

D) deductions are the type of fee

and B is the amount of money that he received

Alejandro should look at Net pay on his paystubs the answer is Net pay option (b) is correct.

What is the income tax rate?

It is defined as the tax rate applied on the solely earned money by a single entity.

It is given that:

Alejandro wants to determine how much money he made in the last month after taxes, social security, and Medicare were taken out of his paycheck.

The options are:

A) Federal tax amount

The Federal tax amount is one type of tax.

C) Gross pay

The gross pay includes taxes, social security, and other charges

D) Deductions

The deductions are the type of fee or negative amounts.

Alejandro should look at Net pay on his paystubs.

Thus, Alejandro should look at Net pay on his paystubs the answer is Net pay option (b) is correct.

Learn more about the income tax here:

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If it takes 247.2 yards of yarn to knit 2.5 baby bibs, how many yards of yarn would it take to knit 4 baby bibs? SHOW ALL WORK! ONLY ANSWER IF YOU KNOW THE ANSWER!

Answers

Answer:

395.52

Step-by-step explanation:

247.2/2.5=98.88(1 bib)

98.88x4=395.52(4 bibs)

Answer anyone ? Tyia :)

Answers

The correct answer is m<2=80°

help me please !
4,5 and 6

Answers

9514 1404 393

Answer:

4a. ∠V≅∠Y

4b. TU ≅ WX

5. No; no applicable postulate

6. see below

Step-by-step explanation:

a. When you use the ASA postulate, you are claiming you have shown two angles and the side between them to be congruent. Here, you're given side TV and angle T are congruent to their counterparts, sides WY and angle W. The angle at the other end of segment TV is angle V. Its counterpart is the other end of segment WY from angle W. In order to use ASA, we must show ...

∠V≅∠Y

b. When you use the SAS postulate, you are claiming you have shown two sides and the angle between them are congruent. The angle T is between sides TV and TU. The angle congruent to that, ∠W, is between sides WY and WX. Then the missing congruence that must be shown is ...

TU ≅ WX

The marked congruences are for two sides and a non-included angle. There is no SSA postulate for proving congruence. (In fact, there are two different possible triangles that have the given dimensions. This can be seen in the fact that the given angle is opposite the shortest of the given sides.)

"No, we cannot prove they are congruent because none of the five postulates or theorems can be used."

The first statement/reason is always the list of "given" statements.

1. ∠A≅∠D, AC≅DC . . . . given

2. . . . . vertical angles are congruent

3. . . . . ASA postulate

4. . . . . CPCTC

Two equal positive charges are placed x m apart. The equipotential lines are at 100 V interval. The work required to move a third charge, q = -e, from the +100 V line to b is:______

Answers

Answer:

+200 J

Step-by-step explanation:

The equally positive charges plates are placed at point x. Exponential lines are 100 V interval and therefore the charges on the potential line is positive. The potential for line c is +200 V which indicates that work required to move the third line is +200 J.

The segments shown below could form a triangle.
A
C
7
9
12
B
А
a
A. True
B. False

Answers

Answer:

TRUE

Step-by-step explanation:

I SEEN SOME ONE ELSE WIT 5 STARS SAY SO(:

The given segment can form triangle. Therefore, the given statement is true.

What is triangle?

A polygon has three edges as well as three vertices is called a triangle. It's one of the fundamental geometric shapes. In Euclidean geometry, each and every three points that are not collinear produce a distinct triangle and a distinct plane. In other words, every triangle was contained in a plane, and there is only single plane that encompasses that triangle.

All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Unless when otherwise specified, this article discusses triangles within Euclidean geometry, namely the Euclidean plane. The given segment can form triangle.

Therefore, the given statement is true.

To know more about triangle, here:

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Use order of operations to solve. PEMDAS
7 + 8(32-2)

Answers

Answer:

247

Step-by-step explanation:

7 + 8(32-2)

Parentheses first

7 + 8(30)

Then multiply

7+240

Then add

247

Answer:

247

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

7 + 8(32 - 2)

Step 2: Evaluate

(Parenthesis) Subtract: 7 + 8(30)Multiply: 7 + 240Add: 247

If r = 0.97, this indicates a ________ correlation. Question 10 options: A) weak negative B) weak positive C) strong negative D) strong positive

Answers

Answer:C

Step-by-step explanation:

A correlation of -0.97 is a strong negative correlation while a correlation of 0.10 would be a weak positive correlation

Answer:

C) strong negative.

Step-by-step explanation:

I’m new to this app and I need help with those two questions please help!!

Answers

y=x²-10x-7

a>0 so we will be looking for minimum

x=-b/2a=10/2=5

y=25-50-7=-32

Answer: (5;32)

y=-4x²-8x+1

а<0 so we will be looking for maximum

х=-b/2a=8/-8=-1

у=4+8+1=13

Maximum point (-1;13)

A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The

outcomes are listed in the table below. Note that each outcome has the same probability.

For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.

Outcomes Probability
HHT HHH THH HTH HTT TTT TTH THT
Event A: Alternating tail and head (with either coming first)

Event B: No tails on the first two tosses

Event C: A tail on both the first and the last tosses

Answers

Answer:

Step-by-step explanation:

In this question, the sample space contains 8 elements and has been given as;

HHT HHH THH HTH HTT TTT TTH THT

1. For event A:

Outcomes of alternating tail and head = THH HTH HTT THT

= 4 outcomes

Pr(alternating tail and head (with either coming first)) = [tex]\frac{4}{8}[/tex]

= [tex]\frac{1}{2}[/tex]

2. For event B:

Outcomes of no tails on the first two tosses = HHT HHH

= 2 outcomes

Pr (No tails on the first two tosses) = [tex]\frac{2}{8}[/tex]

= [tex]\frac{1}{4}[/tex]

For event C:

Outcomes of a tail on both the first and the last tosses = THT TTT

= 2 outcomes

Pr(A tail on both the first and last tosses) = [tex]\frac{2}{8}[/tex]

= [tex]\frac{1}{4}[/tex]

Find length of AC? Help please

Answers

Answer:

Step-by-step explanation:

cos(theta) = B/H

cos(51)= AC/58

AC=36.5

Answer:

36.5 = AC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj side/ hypotenuse

cos A = AC / AB

cos 51 = AC /58

58 cos 51 = AC

36.50058 = AC

Rounding to the nearest tenth

36.5 = AC

The firm had 15 billion VND of earnings before interest and tax (EBIT), corporate tax is 20%. The market price of stock is 60.000đ. Knowing that net income will be held 40% before using it for dividend. How much of the net income can be divided for shareholders?