3/4 and 1/6 whats the least common denomiator

Answer:

A 99.9% confidence interval for the population mean is [22.31, 59.91] .

Step-by-step explanation:

We are given the following sample values;

X = 45.3, 42.3, 53, 49, 15.2, 52.3, 45.6, 39.6, 39.4, 16.1, 54.4.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                       P.Q.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~  [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex]  = 41.11

             s = sample standard deviation = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }[/tex]  =  13.59

             n = sample size = 11

Here for constructing a 99.9% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, 99.9% confidence interval for the population mean, [tex]\mu[/tex] is;

P(-4.587 < [tex]t_1_0[/tex] < 4.587) = 0.999  {As the critical value of t at 10 degrees of

                                                freedom are -4.587 & 4.587 with P = 0.05%}    

P(-4.587 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 4.587) = 0.999

P( [tex]-4.587 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}{[/tex] < [tex]4.587 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.999  

P( [tex]\bar X-4.587 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+4.587 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.999

99.9% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-4.587 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+4.587 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                       = [ [tex]41.11-4.587 \times {\frac{13.59}{\sqrt{11} } }[/tex] , [tex]41.11+4.587 \times {\frac{13.59}{\sqrt{11} } }[/tex] ]

                                       = [22.31, 59.91]

Therefore, a 99.9% confidence interval for the population mean is [22.31, 59.91] .

Answer:

  13

Step-by-step explanation:

The value halfway between them is their average: 27/2 = 13.5.

The smaller number is 13.

__

The larger number is 14.

Answer:

20 socks fit $14.99 is the best deal out of the 3

Step-by-step explanation:

Here, we want to know the bag that contain the best deals for socks .

The best way to go about this is to know the unit prices of socks in each of the bags.

Let’s proceed;

12 socks for $9.99

The unit price here is 9.99/12 = 0.8325 per socks

20 socks for 14.99

Unit price here is 14.99/20 = 0.7495

10 socks for 19.99

The unit price here is 19.99/10 = 1.999

Out of all these options , we can see that the second option is actually the cheapest and offers what we should be pick as we are looking for suppliers since it charges the lowest;

So the best deal for socks is in the bag of 20 socks for $19.99

Answer:

Step-by-step explanation:

Got it correct on Khan Academy

Answer:

Ionic bonds usually occur between metal and nonmetal ions. For example, sodium (Na), a metal, and chloride (Cl), a nonmetal, form an ionic bond to make NaCl. In a covalent bond, the atoms bond by sharing electrons. Covalent bonds usually occur between nonmetals.

An ionic bond is held together by the electrostatic attraction between ions that are near one another. Electrostatic attraction is the attraction between atoms that have opposite charge and holds the atoms together in ionic bonds.

Answer:

-7 + 4 = -3

Step-by-step explanation:

So you start at -7 and if you add a positive number to a negative number you basically subtract from the negative number, so you would do -7 + 4 which equals -3

Answer:

8 and 7

Step-by-step explanation:

the square root of 75 is approximately 8.66025 or 5√3 in radical form

Answer: D

Step-by-step explanation:

Answer:

Distance traveled= 41968.4 km

The domain of the function is t

t(h)= 478

h = hours

Step-by-step explanation:

the distance that they traveled in kilometers, d, can be modeled by

d(t) = 97.8t

where t is the time in hours

They traveled a total of 478 hours.

Distance traveled d(t)

d(t) = 87.8(478)

d(t) = 41968.4

Distance traveled= 41968.4 km

The domain of the function is t

t(h)= 478

Answer: 1 73/90 if the decimal is 1.81 and the one is repeating

If the .81 is repeating then 1 9/11

Step-by-step explanation:

Answer:

20/11

Step-by-step explanation:

let 0.(81) = x

--> 100x = 81.(81)

--> 100x - x = 81.(81) - 0.(81)

--> 99x = 81

--> x = 81/99 = 9/11

1.(81) = 1 + 0.(81) = 1 + x = 1 + 9/11 = 20/11

Answer:

no cule bro

Step-by-step explanation:

Answer:

15p4q3

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

x - 3 = -10

Add 3 to each side

x - 3+3 = -10+3

x = -7

Answer:

mark owes Kira $2

I think

Answer:

A)P(A ∩ B) cannot be equal to 0.5.

B)P(A ⋃ B) = 0.7

C)P[(A ∪ B)'] = 0.3

D)P(A ∩ B') = 0.3

E)probability that the selected student has exactly one of these two types of cards = 0.4

Step-by-step explanation:

A) We want to find out if P(A ∩ B) = 0.5

Now, this value is not possible because the probability of intersection of two events can not be greater than the probability of each individual event.

We are told that P(A) = 0.6 and P(B) = 0.4.

Due to the fact that the probability of B is less than 0.4 which is less than 0.5, It means that the intersection of A and B can't be greater than 0.4.

Thus, P(A ∩ B) cannot be equal to 0.5.

B) Now, P(A ∩ B) = 0.3

The probability that the selected student has at least one of these two types of cards would be P(A ⋃ B)

Now, this is expressed as;

P(A ⋃ B) = P(A) + P(B) − P(A ∩ B)

Thus,

P(A ⋃ B) = 0.6 + 0.4 - 0.3

P(A ⋃ B) = 0.7

C) Probability that the selected student has neither type of card would be expressed as; P[(A ∪ B) ' ]

Thus is further expressed as;

P[(A ∪ B) ' ] = 1 − P(A ∪ B)

P[(A ∪ B)'] = 1 - 0.7

P[(A ∪ B)'] = 0.3

D) We want to describe in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.

This is simply an intersection of event A and compliment of event B. Thus, it implies that we we will remove the events when student has both types of cards from the events of A. This probability is expressed as P(A ∩ B')

Thus gives;

P(A ∩ B') = P(A) - P(A ∩ B)

P(A ∩ B') = 0.6 - 0.3

P(A ∩ B') = 0.3

E) Now, we want to find the probability that the selected student has exactly one of these two types of cards.

This is simply the addition of intersection of event A with compliment of event B and intersection of event B with compliment of event A . The probability is given by:

P(A ∩ B') + P(A' ∩ B)

Expanding this gives;

P(A ∩ B') + P(B) - P(A ∩ B)

Plugging in the relevant values gives;

0.3 + 0.4 - 0.3 = 0.4

Answer:

s > 62

Step-by-step explanation:

I hope this helps!

The inequality which represents the given statement is given by s > 62.

What are inequalities ?

When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.

The given statement is "negative thirty-one less than s is greater than 93". This statement must be transformed into form of an inequality.

We know that an inequality comes when a number is greater than or less than another number . Here the variable is the unknown number 's'. This meant the expression can be written as :

s - (-31) > 93

Simplifying this inequality we get :

s + 31 > 93

s > 93  - 31

s > 62

Therefore , the inequality which represents the given statement is given by s > 62.

Learn more about inequalities here :

brainly.com/question/25275758

#SPJ2

Answer:

7

Step-by-step explanation:

let the unknown number be x

so x times 2 minus 3=11

it will now be 2x-3=11

the -3will cross the equal sign and change to +3

2x=11+3 which will be 2x=14

divide both sides by 2 and the final answer will be x=7

Answer:

To square a number, multiply the number by itself.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3³=27

6-³=1/216

2^5=32

27X1/216x32

=4

Answer:

D. 15cm2

Step-by-step explanation:

To find the area of a triangle, you multiply the base (10cm) and height of the triangle (3cm) and divide that by 2. So 10×3=30. Then, you need to divide this by 2. Since 30 is an even number, you won't get a decimal. So 30/2=15. And dont forget your units!

Step-by-step explanation:

13? i forgot all this math XD

Answer:

-4x^2, -3x, -5

Step-by-step explanation:

-4x^2 + 2x - 5 (1 + x)

-4x^2 + 2x - 5 + 5x

-4x^2 - 3x - 5

Answer: D

Step-by-step explanation:

This problem seems to ask for the slope of the line. If not by counting, we can use the slope formula to solve. The formula is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Let's use (1,2) and (2,-1).

[tex]m=\frac{-1-2}{2-1} =\frac{-3}{1}=-3[/tex]

Now, we know that the slope is -3.

We also know that A and C are eliminated because the line is going down, which signifies negative. We would be left with B and D. We know that B is incorrect because the slope would be less steep if B were to be the answer. Therefore, D is the correct answer.

Answer:

It does not represent a function. The domain value of 2 corresponds to two values within the range.

Step-by-step explanation:

Given the function:

Domain : Range

1 => 5

2 => 10

3 => 15

2 => 20

For a relation to be considered a function, every domain value should have exactly 1 range value assigned to it or mapped to it.

In order words, a domain value should not have different range values.

In the relation given, domain value of 2, has more than 1 range value, 10 and 20, assigned to it. It does not have exactly 1 range value.

Therefore, the relation does not represent a function because the domain value of 2 corresponds to two values (10 and 20), within the range.

Answer:

It does not represent a function. The domain value of 2 corresponds to two values within the range.

Step-by-step explanation:

Answer:

  53.3

Step-by-step explanation:

One way to do this is to add half a tenth, 0.05, then drop all the digits of the result to the right of the tenths digit.

  53.2785 +0.05 = 53.3285

Dropping digits to the right of the tenths place, we have ...

  53.3

_____

The effect of this is to increase the tenths digit by 1 if the hundredths digit is 5 or more. That is the usual instruction given for rounding to tenths. (Then drop hundredths and digits to the right.)

Answer:

  27a³ -8

Step-by-step explanation:

A binomial has two terms. If one of the terms is the constant -8, the other must be a cubic term, something with a variable to the third power.

  27a³ -8 . . . . . a cubic binomial with a constant of -8

Even though 0.84800 has two more zeroes at the end, this is still the same number as 0.848.

0.84800 -> 0.848

Therefore, 0.848 = 0.48400

Best of Luck!

Answer:

Z= 0.08

Or

Z= 2/25

Step-by-step explanation:

100(z-0.2)=-10(5z+0.8)​

Opening all the bracket

100z - 20= -50z - 8

Collecting like terms, and at Same time adding up this like terms

100z +50z = -8+20

150z= 12

Dividing bith sides of the equation by 150 to look for the value of z

(150/150)(z)=12/150

Z= 0.08

Or

Z= 2/25