A random sample of 89 observations produced a mean x = 25.4 and a standard deviation s = 2.4.a. Find a 95% confidence interval for u.b. Find a 90% confidence interval for H.c. Find a 99% confidence interval for u.a. The 95% confidence interval is O.(Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)

Answer:

The answer is 3.375

Step-by-step explanation:

You just multiply 1.5 by itself 3 times

Answer:

1/2

Step-by-step explanation:

Do divide fractions, multiply the first number by the reciprocal (the numbers flipped) of the second number.

So, 1/3 * 3/2

1/3 * 3/2 = 3/6

3/6 = 1/2

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

where

k is the constan of proportionality

therefore

in this problem

y=x

because, the value of k =1

Answer:

y = 3x + 3 :D

Step-by-step explanation:

Equation of line: y = mx + b :)

b: Y intercept

m: Slope

Now lets solve :)

Lets find M first :)

We need 2 points so lets use (0,3) and (1,6) :)

We fist need to subtract :)

6 - 3 = 3

1 - 0 = 1

Now we divide :)

3/1 = 3

Lets put that into our equation :)

y = 3x + b

Now lets find B :)

To find b, we need to see where the line intercepts the y axis! This will be at point (0,3)!

The y intercept will be 3 :)

The final equation will be y = 3x + 3 :)

Have an amazing day!!

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The ratio of the width of the rectangle to the length of the rectangle is 10/13

We are provided with the rectangle. The dimensions of the rectangle are mentioned below;

Width of rectangle = 20

Length of rectangle = 26

We were asked to calculate the ratio of width of the rectangle to the length of the rectangle. So, to calculate the ratio of width of the rectangle to the length of the rectangle we need to divide the width of rectangle to the length of the rectangle as mentioned below;

( Width of rectangle/Length of rectangle ) = 20 / 26

( Width of rectangle/Length of rectangle ) = 10/13

So, we can finally conclude that the ratio of width of the rectangle to the length of the rectangle is 10/13 .

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The conclusion from the factor table of 18 is that, 18 is not a prime number i.e. it is composite

From the question, the number is given as

Number = 18

The factors of 18 are represented as

Factors of 18 = 1, 2, 3, 6, 9 and 18

When these factors are picked in pairs, we have the following  representations

Factors pairs of 18 = (1, 18), (2, 9), (3, 6)

Next, we represent the factors on a factor table

So, we have

Factors      Factor pairs        Prime factorization

1, 2, 3,           (1, 18)                       2 x 3²

6, 9 and        (2, 9)

18                   (3, 6)  

Because the number 18 has factors other than 1 and 18, then the number 18 is a composite number

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Answer:

  3√3

Step-by-step explanation:

You want the simplest radical form of -√3 + 4√3.

We can consider these "like terms" in the sense that each is an integer multiple of √3. As such, they can be combined by combining coefficients.

  -√3 + 4√3 = (-1 +4)√3 = 3√3

We have here that Roberto has a total of $3300 in two savings account.

Then, if y represents the amount in one account, we have that the sum of both accounts is up to $3300.

We can suppose that the other account is x. Then, we have:

If we subtract y from both sides of the equation, we have:

Therefore, the algebraic expression for the amount in Roberto's other account is (since x is not mentioned, we have):

In summary, the amount in Roberto's other account is $3300 - y.

Since we don't know the specific income of each person in the sample, we don't know for sure if the median will change. Nevertheless, the mean will surely raise.

Since the current average income is $10,000, if one of them gets a raise of $10,000, then the sum of all incomes would be $100,000+$10,000=$110,000. And the new average income will be:

Then, the mean increases by $1,000, and we can't say anything about the median.

Answer:

5 is a vertical angle. 1 is a vertical angle. 3 is a corresponding angle.

Step-by-step explanation:

Let me know if i got anything wrong!

The Glass and Maple syrup will sink , Baby Oil and Wax will float in water.

We are provided with the following data mentioned below:

Glass             Baby oil                   Maple syrup              Wax

2.40                 0.83                          1.37                         0.93

The density of water = 1.0 [tex]g/cm^{3}[/tex]

The material with the lower density floats and the material having higher velocity sinks. As the density of glass is 2.40 [tex]g/cm^{3}[/tex]  which is larger than the density of water , so glass will sink in water. As the density of baby oil is 0.83 [tex]g/cm^{3}[/tex]  which is less than the density of water , so glass will float in water.

As the density of Maple syrup is 1.37 [tex]g/cm^{3}[/tex]  which is larger than the density of water , so Maple syrup will sink in water. As the density of Wax is 0.93[tex]g/cm^{3}[/tex]  which is less than the density of water ,so Wax will float in water.

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Answer:

Step-by-step explanation:

The graph of the given expression f(x)=2(x-2)²-4 is shown (refer to the graph attached below.)

So, f(x)=2(x-2)²-4:

Therefore, the graph of the given expression f(x)=2(x-2)²-4 is shown (refer to the graph attached below.)

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Given:

Required:

To choose the correct order of operations for the given expression.

Explanation:

Consider the given exprsesion

Here subtract 4 from 7, subtract 2 from 5, and divide the first difference by the second.

Final Answer:

Subtract 4 from 7, subtract 2 from 5, and divide the first difference by the second.

Solution

-3x +4y = 24 (1)

6x +2y =-18 (2)

We can multiply equation (1) by 2 and we got:

-6x + 12y = 48

6x +2y =-18

_____________

14 y= 30

y = 30/14= 15/7

And the value of x would be:

x= 4y-24/3

x= (60/7 -24)/3

A.

The question asks us to find the probability of getting at least 4 or an odd number after throwing a die.

This is easily gotten using the OR probability of two events which states:

To get at least 4, it means the possible values we can have are: 4, 5, 6.

To get an odd number, it means the possible values we can have are: 1, 3, 5.

From both set of possibilities, 5 is common. We need to subtract the probability of getting a 5 in both situations to prevent duplication.

Thus, we can compute each probability:

Therefore, the probability of getting at least 4 or an odd number is 5/6

B:

This part of the question asks us to find the probability of rolling an even number or a number at most 5.

We, once again, take a look at the possibilities to solve this question.

Possibilities of getting an even number are: 2, 4, or 6

Possibilities of getting at most 5 are: 1, 2 , 3, 4, 5.

Therefore, we can compute the probabilities as:

The domain is the set input values, it means the number of tons that can be deliver.

The type of numbers that are possible are the positive rational numbers. This is because you can order 1, 2, 2.5, 1/3 tons but you can not order -6, -4.4 or -0.3 tons.

It means that the type of numbers that are possible for the domain are the possitive rational numbers.

Given:

And the values in the table.

Required:

The equation of a normal line to f at x=3.

Explanation:

The equation of the line that passes through from point (x,y) and has slope m

is given by the formula

From the table at x=3, f(x)=h(2x)

that is f(3)= h(6)=9

And the slope from the table at x=3 is 1/2.

Now the equation of the line is:

Final answer:

Thus the equation of the normal line is

The equation of the line that passes through the points ( -3,18 ) and ( 2,-7 ) is f(x) = -5x + 3.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point 1( -3,18 )

Point 2( 2, -7 )

First, we find the slope of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( -7 - 18 ) / ( 2 - (-3) )

m = ( -25 ) / ( 2 + 3 )

m = ( -25 ) / ( 5 )

m = -5

Next, next we find the y-intercept

y = mx + b

18 = (-5)(-3) + b

18 = 15 + b

b = 18 - 15

b = 3

Now that the values of slope m and y-intercept b is known, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = (-5)x + 3

y = -5x + 3

Therefore, the equation of the line is y = -5x + 3

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ANSWER:

The value of x is 16.49

STEP-BY-STEP EXPLANATION:

We can calculate the value of x by means of the tangent trignometric function, which is the following

Replacing and solving for x:

The room is a rectangle with dimensions 25 and x + 10. The area of a rectangle is the product of its dimensions, so the area will be:

We have to add the parenthesis because we first need to add 10 and x and then multiply. Distributing the 25, we have:

As we can see, this matches what Ron thinks the area will be, so he is correct. Thus, the answer is "Yes". The why can be both because the area is the sum of 25*10 and 25x and because the area is the product of 25 and 10 + x.

So, the correct alternatives are A and D.

The return trip takes 0.7 hrs more than the delivery.

Let the time  taken while going be x  therefore the time taken while returning will be 10 - x.

Given :

The truck driver averages 60 miles per hour while delivering freight

The speed is 45 mph on the return trip.

Therefore according to the question,

60x = 45 ( 10 - x)  [ As the distance is same]

=> 4x = 3 ( 10 - x)

=> 4x = 30 - 3x

=> 7x = 30

=> x = 30 / 7

=> x = 4.3

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The given Expression is :

From the property of exponents

If the base value of the exponents are same then during the process of multiplication powers will add up.

Since in the given expression 4 is the base value on both base of the exponents

Thus, base value are equal

The powers will add up:

Simplify the farction of the exponents :

So, the value of the given expression will be :

Answer : 4 ^8/15

We will investigate how to graph a straight line on cartesian coordinate plane.

All equations of straight line are expressed in a general slope-intercept form as follows:

Where,

To graph any straight line we need the equation of the straight line or atleast two points that must lie on the line.

We are given the slope ( m ) and one of the points that lie on the line as follows:

We need one another point that lies on the line to plot the graph of a straight line. To find another point we must completely express the equation of the straight line ( general form given above ).

We see that an equation of a straight line is defined by two parameters i.e ( m and c ). We are given the value of the slope ( m ). We will go ahead and plug it into the general slope-intercept form given above:

Now to determine the value of parameter ( c ) we must have atleast one point that lies on the line. We will use the point given to us and plug in the respective coordinates in the equation developed above and solve for ( c ) as follows:

We will go ahead and update the equation of the straight line as follows:

Now to get one more point to graph the plot we will assume any value of the for either variable ( x or y ) and then determine the value of the other variable as follows:

Therefore, we have the two points to plot the graph as follows:

We can go ahead and select the above points on the given grid to construct the straight line!

Answer:

C.

Step-by-step explanation:

Since you are missing a side, use the Pythagorean Theorem:

[tex]a^{2}+b^{2}=c^{2}\\ 5^{2}+8^{2}=c^{2}\\ 25+64=c^{2}\\ 89=c^{2}\\ \sqrt{89}=c Answer[/tex]

Answer:

the answer is C.

[tex] \sqrt{89} [/tex]

Answer: C. 8

When we have two chords intersecting inside a circle, the products of the lengths of the segments are equal to one another. This means that for the given circle, we have the following:

10 * 4 = 5 * x

We can solve for x by multiplying 10 by 4, which is 40, and then dividing by 5, to isolate x, which is 8.

There are two disccount applied to this computer, the first one is 30%. To calculate its value, we need to multiply the original price by the fraction that represents 30%

The first discount was 16,800. To determine the price after this, we need to subtract the listed price by the discount 1, this is done below:

Then we need to calculate the second discount, which was equal to 20%.

The final price is the subtraction between the price 2 and the discount 2, we have:

The final price is 31,360.

The linear equation in point-slope form of the given condition is y = 30x + 170. The number of words after 8 days will be 410.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

Let's represent the number of days by x and the number of words by y.

At day 1 (x = 1) ⇒ Number of words (y = 200)

At day 1 (x = 2) ⇒ Number of words (y = 230)

The point-slope form of a linear equation is given as,

y = mx + c

Where m is the slope, while c is the y-intercept.

Substitute,(1,200) in y = mx + c

200 = m(1) + c

Now slope m = (230 - 200)/(2 - 1) = 30

200 = 30(1) + c

c = 170

Therefore, the equation become,

y = 30x + 170

The number of words after 8 days will be,

y = 30(8) + 170 = 410

Hence "The linear equation in point-slope form of the given condition is y = 30x + 170. The number of words after 8 days will be 410".

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a) the probability that event A occurs but event B does not occur = 0.33

b) the probability that either B occurs without A occurring or A and B both occur = 0.04

In this question, we have been given two mutually exclusive events A and B.

event A has probability 0.33 and the event B has probability 0.04

P(A) = 0.33 and P(B) = 0.04

We need to compute the probability that event A occurs but event B does not occur.

i.t., to find = P(A ∩ B')

We know that, P(A ∩ B') = P(A) - P(A ∩ B)

For mutually exclusive events, P(A ∩ B) = 0

So, P(A ∩ B') = P(A)

P(A ∩ B') = 0.33

Also, we need to compute the probability that either B occurs without A occurring or A and B both occur.

P(B ∪ A') + P(A ∩ B)

= P(B) + 0

= 0.04

Therefore, a) the probability that event A occurs but event B does not occur = 0.33

b) the probability that either B occurs without A occurring or A and B both occur = 0.04

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Answer:

9

Step-by-step explanation:

The answer you divide 65 by 7 which would get you 9.2857142857143. The remainder is 2.

MATHEMATICALLY WE WRITE THE PROBLEM AS

[tex] = \frac{65}{7} \\ [/tex]

SOLVING FURTHER

[tex]65 \div 7 \\ = 9.285714286[/tex]

BUT 7 GOES 9 TIMES IN 65 NOT CONSIDERING THE REMINDER.

HOPE THIS HELPS