If two lines intersect , then they intersect in exactly one

Answer:

The Confidence Interval = (66.1476, 68.8524)

Step-by-step explanation:

The formula for confidence interval of a normal distribution is given as:

Confidence Interval = μ ± z × σ/√n

Where:

μ is the mean height = 67.5

σ is the standard deviation = 2.1 inches

n is the number of samples = 16 bookcases

z = 99% confidence interval = 2.576

Confidence Interval = 67.5 ± 2.576 ×2.1√16

= 67.5 ± 2.576 × 2.1/4

Confidence Interval = 67.5 ± 1.3524

67.5 - 1.3524 = 68.8524

67.5 + 1.3524 = 66.1476

Therefore, the Confidence Interval = (66.1476, 68.8524)

Answer:

9. Juanita's recipe.

10. Leon's recipe.

Step-by-step explanation:

9.  All you need to do is convert the numbers into fractions.  

Juanita's recipe: 4 parts lemon, 2 parts sugar.  Lydia's recipe: 5 parts lemon  and 3 parts sugar.  So in order to find the lemon amount in each recipe convert into this fraction:

lemon/sugar

Juanita: lemon/sugar= 4 lemon/2 sugar

Lydia: lemon/sugar= 5 lemon/3 sugar

The LCM is 6 so that is the denominator.

Juanita: 4 lemon/2 sugar= 12 lemon/6 sugar

Lydia: 5 lemon/3 sugar= 10 lemon/6 sugar

The ratio is 4:2= ?:6 and 5:3= ?:6

Juanita has 12 lemon and Lydia has 10, so Juanita has more lemons.

10.  Same as number 9.

Use the fraction peanuts/pretzels because it wouldn't work if peanuts is on the bottom otherwise both Leon and Cisco's peanut amount will be the same.  SO put peanuts over pretzels, so pretzels will be the denominator so we can find the peanut amount.

peanuts/pretzels

Leon: peanuts/pretzels= 3 peanuts/8 pretzels

Cisco: peanuts/pretzels= 2 peanuts/6 pretzels

The LCM is 24 so that is the denominator.

Leon: 3 peanuts/8 pretzels= 9 peanuts/24 pretzels

Cisco: 2 peanuts/6 pretzels= 8 peanuts/24 pretzels

The ratio is 3:8= ?:24 and 2:6= ?:24

Leon has 9 peanuts and Cisco has 8, so Leon has more peanuts.

Answer: -5

Step-by-step explanation: 2 + -11 = -9 and subtract -4 from it since it’s the sum of 2 + -6. -9 - -4 is -9 + 4 so -5

Answer:

-5

Step-by-step explanation:

2+-11=-9

2+-6=-4

-9- -4=-5

Hello, please consider the following.

[tex]{2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...[/tex]

Let me know if you need further explanation.

Thank you

Answer:

[tex]\sqrt[3]{4(x-3)} /2[/tex]

Step-by-step explanation:

Answer:

Hey there!

a. 2x+5=30

b. 1/3x-8=x+1

c. 3=21/(x+5)

d. 3x-5=46

For the picture

a. y=7x+60

b. y=5x+120

c. 7x+60=5x+120

Let me know if this helps :)

Answer:

11 > (w- 4)

y < 3

5 + 9 < 5.9

So these are the phrases which are inequalities.

Answer: a. Multicollinearity occurs when two or more independent variables are highly correlated.

Step-by-step explanation:

Multicollinearity usuall occurs when an independent variables in a regression model is correlated. This correlation is a problem which occurs because independent variables should be independent. If the degree of correlation between variables is high enough, it would cause problems when you fit the models or try to interpret the results.

According to the statement of multicollinearity, option b is the correct answer it occurs when two or more independent variables are highly correlated.

Multicollinearity refers to the occurrence of two or more independent variables which are highly correlated with one another in a regression model.

The statement means that in a regression model, independent variables can be predicted from another independent variable.

For example,

Multicollinearity can also occur when new dependent variables are created which are dependent on others.

It can be an issue when the regression model is only being used to understand the relationship. It is unable to distinguish between the separate effect of an independent variable on the dependent one.

So, option a is correct in that is multicollinearity occurs when two or more independent variables are highly correlated.

Learn more about multicollinearity here:

https://brainly.com/question/15407011

Answer:

9, 8, 7

Step-by-step explanation:

This is the rank of the cards from highest to lowest and the terms are:

So the next 3 terms are 9, 8, 7

Answer: 16/77

Step-by-step explanation: Here we're asked to evaluate ab

given that a = 4/7 and b = 4/11.

So we start by plugging in our given

values for a and b into the problem.

If we do this, ab would then be (4/7)(4/11).

When multiplying two fractions together, we multiply across

the numerator and we also multiply across the denominators.

So (4/7)(4/11) is 16/77 which is our final answer.

Answer:

16/77

Step-by-step explanation:

When two numbers are close togtether, you want to multiply them.  Since it is ab, you multiply a and b.  

a= 4/7

b= 4/11

so, 4/7 times 4/11

When you multiply fractions, you multiply the numerators (the top number of a fraction) of the fractions together.  You also multiply the denominators(the bottom number) of the fractions together.

So, let's multiply the numerators first.

4 times 4 equals 16, so that is the new numerator

7 times 11 is 77, so that is the new denominator

Let's combine it into a fraction.  Numerator/denominator= 16/77

Sometimes, you will need to reduce.  Reducing meaning that you divide the fraction by a number so it can't be reduced/divided anymore.  Until a fraction is at it's simplest form.  

Example: 2/4 reduces to 1/2 because both the numerator, 2, and the denominator, 4, can be reduced by 2.  As you can see, 1/2 is at it's simplest form and cannot be reduced any further.

Answer:

First: Subtract each side to get y-b=mx

Secound:divide each side by x to get y-b/x=m

Third:we divide both sides b x to get m by itself.

(y-b)/x=(mx)/x

(y-b)/x= m

Therefore m is equal to(y-b)/x

Answer:

Step-by-step explanation:

That depends upon what your goal is.  State your goal specifically.

If the instructions say to "solve the following equation for x," then your first move should be to add 4 to both sides.  Associative property

The correct answer is 17: 30

Explanation:

The purpose of a ratio is to express the relationship between two elements in terms of quantities. For example, if there are 5 oranges and 4 lemons the ratio is 5 to 4. Additionally, this relationship between the quantities of two different things can be expressed as a fraction, by using a colon (:) or by using the word "to." In the last two cases, the colon or word "to" separate the two amounts compared.

In the case presented, the total of days observed was 30 days (17 days with rain + 13 days with no rain) and the ratio of rainy days to the total of days can be expressed as 17:30, [tex]\frac{17}{30}[/tex] or as 17 to 30, considering there were 17 rainy days out of a total of 30 days.

Answer:

Below

Step-by-step explanation:

● 64x3 − 336x2y + 588xy2 − 343y3

● (4x)^3 - 3 × 112x^2y + 3 × 196xy^2 - (7y)^3

● (4x)^2 - 3× 16x^2 × y +3× 4x×49y^2-(7y)^3

● (4x-7y)^3

Answer:

Step-by-step explanation:

if f(x) = 1/(x+1)

the f(f(x)) means, wherever you see an "x" in the function.

plug in the function again.

so plug in "1/(x+1)" wherever you see an x

so...

1/(f(x) + 1)  

1/((1/(x+1))+1)

now you're going to need to fix the denominator.  

at the moment... this is what you're denominator looks like.

1/(x+1) + 1

so, combine them. find the LCD

LCD = x + 1

1/(x + 1) + x + 1 / x + 1

x + 2 / x + 1

that's your new denominator.

f(f(x)) = 1 / (x + 2 / x + 1)

because it's 1 / something. all you need to do is get the reciprocal of that "something"

so, what's the reciprocal of x + 2 / x + 1?

x + 1 / x + 2

that's your final answer.

next one.

remember, same deal, everywhere you see an "x" plug in the original function.

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

f(f(x)) = f(x) / ( f(x) + 1 )  

= [x / (x + 1) ] / [ (x / (x + 1) ) + 1 ]

so, right now this is your denominator.

(x / x + 1) + 1

combine, find the LCD, LCD = x + 1

x / x + 1  +  x + 1 / x + 1

2x + 1 / x + 1

that's your new denominator.

so plug it in.  

[x / (x + 1) ] / [2x + 1 / x + 1]

this is a little more complicated. but remember, whenever you divide by a fraction, it's the same as multiplying by it's reciprocal

so...

rewrite it like this.

x / (x + 1) * (x + 1) / 2x + 1

the x + 1 cancel out.

and you're left with

x / 2x + 1

hope that helps!

Answer:

Duval got a hit 30% of the time during the season. The total number of hits was 24. 24/80 is 0.30. Multiply by 100 to obtain the percentage. 0.30*100 = 30%.

Step-by-step explanation:

Answer:

A) Mean cost per game= $202.8

B). Range= $104

C). Variance= 1182.96

D).Standard deviation=34.39

E). $1014 per person

Step-by-step explanation:

The data of the cost

= $266, $201, $197, $188, $162

A). Mean cost per game

Mean = (266+201+197+188+162)/5

Mean = 1014/5

Mean = 202.8

Mean cost per game= $202.8

B) range = highest value- Lowest value

Range= 266-162

Range= $104

C) variance= ((266-202.8)²+(201-202.8)²+(197-202.8)²+(188-202.8)²+(162-202.8)²)/5

Variance=(3994.24+3.24+33.64+219.04+1664.64)/5

Variance= 5194.8/5

Variance= 1182.96

D). Standard deviation= √variance

Standard deviation= √1182.96

Standard deviation=34.39

E).Mean cost per person

= Mean *5

= 202.8 *5

= $1014 per person

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2} - 13x + 20}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(x - 4)(2x - 5)}[/tex]

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

⇒[tex] \sf{x(2x - 5) - 4(2x - 5)}[/tex]

⇒[tex] \sf{2 {x}^{2} - 5x - 8x + 20}[/tex]

Collect like terms

⇒[tex] \sf{2 {x}^{2} - 13x + 20}[/tex]

Hope I helped!

Best regards!!

Answer:

2x² - 13x + 20

Step-by-step explanation:

(x - 4)(2x - 5)

x(2x - 5) - 4(2x - 5)

Opening the brackets gives;

2x² - 5x - 8x + 20

Simplifying this equation gives;

2x² - 13x + 20

The sum of the positive divisors of 448 will be 1,016.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The number 448 can be divided by 14 positive divisors (12 are even, and 2 are odd). The sum of these divisors is 1,016, the average is 72.,571.

Therefore, the sum of the positive divisors of 448 will be 1,016.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

x=10 84 cm

Step-by-step explanation:

We know that a square has 4 sides, and each side length is (2x+1). So we need to distribute the 4.

4(2x+1)

8×+4 is the perimeter for the square.

A triangle has 3 sides, and each side length is (3x-2). So we need to distrbute the 3.

3(3x-2)

9x-6 is the perimeter of the triangle.

We know that these perimeters are equal to each other. Then we just solve for x.

8x+4=9x-6

10=x

Plug 10 into the square equation.

8(10)+4

84 cm

Answer:

x = 10

Square perimeter = 84cm

Triangle perimeter = 84cm

Step-by-step explanation:

Hello!

First, we make an equation to find the perimeter of each shape

For a square we multiple one side by 4

(2x + 1) * 4

Simplify

8x + 4

An equilateral triangle means each side is equal so we can multiply one side by 3

(3x - 2) * 3

Simplify

9x - 6

The problem states they are equal to each other so we can show that

8x + 4 = 9x - 6

Now we can solve for x

Subtract 8x from both sides

4 = x - 6

Add 6 to both sides

10 = x

Now we can put x into our original equations for the perimeters

Square

8(10) + 4

80 + 4

84cm

Triangle

9(10) - 6

90 - 6

84cm

Hope this Helps!

Answer:

0.0482

Step-by-step explanation:

Given the following :

Probability of success : p(success) = 0.25

Number of trials = 800

X = number of successes

Calculate P(X > 220)

The problem above can be solved using the binomial probability formula:

P(X > 220) = P(X = 221) + P(X =222)... + P(X =800)

To save computation time, we coild use the online binomial probability calculator :

P(X > 220) = 0.0482

The binomcdf function of a graphing calcukatur can also be used :

1 - binomcdf(800, 0.25, 220)

1 - (0.95177363855) = 0.04822

Answer:

Yes.

(20-(-16)) = 20 + 16

20 + 16 = 36 thus

(20-(-16)) = 36

Step-by-step explanation:

With your equation, I'm pretty sure you are trying to determine whether or not this equation is true. Let's start with the first part.

(20-(-16))

Let's break it down.

20 - -16

Whenever a number is like that, it becomes a positive. (I don't really remember what its called, but it flips in negativity)

20 + 16

20 + 16 = 36.

36 = (20-(-16))

Greetings from Brasil....

Remember that F(X) = Y

Looking at the graph we can conclude that:

Y > 0 when X < - 4 (up until -∞)

Y = 0 when X = - 4

Y < 0 when X > - 4 (up until +∞)

So choose:

[F(X) = Y]  > 0 over the interval ]-∞; -4[

(last option)

Answer:

Solving for the variable, x: [tex]x = \frac{1}{3}y + \frac{2}{3}[/tex]

Solving for the variable, y: [tex]y = 3x - 2[/tex]

Step-by-step explanation:

IF:

You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. First, follow PEMDAS, then do the opposite of PEMDAS.

First, distribute 2 to all terms within the parenthesis:

(3x - y = 2) * 2 = (6x - 2y = 4)

Next, solve for x. Add 2y to both sides:

6x - 2y (+2y) = 4 (+2y)

6x = 4 + 2y

Next, divide 6 from both sides:

(6x)/6 = (4 + 2y)/6

x = (2y)/6 + (4)/6

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

IF:

You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, y. First, follow PEMDAS, then do the opposite of PEMDAS.

First, distribute 2 to all terms within the parenthesis:

(3x - y = 2) * 2 = (6x - 2y = 4)

Next, solve for  y. Subtract 6x from both sides:

6x - 2y = 4

6x (-6x) - 2y = 4 (-6x)

-2y = -6x + 4

Then, divide -2 from both sides:

(-2y)/-2 = (-6x + 4)/-2

y = (-6x)/-2 + (4)/-2

y = 3x + (-2)

y = 3x - 2

~

Answer:

360 degrees

Step-by-step explanation:

Remember that triangles have a sum of 180 degrees, and that quadrilaterals have 360 degrees.

You can either use that part, or actually solve for it.

The equation for the sum of the interior angles is:

[tex]sum=180(n-2)[/tex]       [which "n" is the number of sides]

So, if we add in the number of sides to the equation, it changes to:

[tex]180(4-2)=180(2)[/tex], which equals to 360 degrees.

Answer/Step-by-step explanation:

We are told that:

Area of the given square = 1 square units

2 of the small triangles will make up the square when joined together.

Since area of the square is 1 square units, area of the 2 small triangles = 1 square units.

We are also told that 2 of the small triangle will also make up the medium triangle when joined together.

Therefore, since area of 2 small triangles = area of the square = 1 square units, the medium triangle would also have an area of 1 square units.

1. Area of the small triangle is ½ square units. I know this because 2 small triangles = area of the square = 1 square units.

2. The area of the medium triangle is 1 square units. I know this because 2 small triangles make up the medium triangle, and 1 small triangle has an area of ½ square units.

3. The area of the large triangle is 2 square units. I know this because if the medium triangle is made up of 2 small triangles, then 4 small triangles will make up the big triangle, or 2 medium triangle will make up the big triangle.

Answer:

  x = 31

Step-by-step explanation:

Divide both sides of the equation by the coefficient of x:

  [tex]4x=124\\\\\dfrac{4x}{4}=\dfrac{124}{4}\qquad\text{divide by 4}\\\\x=31\qquad\text{simplify}[/tex]

Answer:

2.85

Step-by-step explanation: