A 13 Ft ladder is leaning up against a building, with the base of the ladder 2 feet from the building. How high up on the building will the top of the ladder reach?

Answer:

No, the two events "being in high school" and "GPA above 3.0" are not independent.

Step-by-step explanation:

If two events A,B are independent [tex]P(A|B)=P(A)[/tex]

P(high school | above 3.0) = [tex]\frac{14}{40}=0.35[/tex]

P(high school) = [tex]\frac{60}{100}=0.6[/tex]                                                                                                

So,0.35 ≠ 0.6

Since P(high school | above 3.0) ≠ P(high school), the events "being in high school" and "GPA above 3.0" are not independent.

The proportion of high school students with a GPA above 3.0 differs from the proportion of college students with a GPA above 3.0. Therefore, the events 'being in high school' and 'GPA above 3.0' are not independent according to the data provided.

To determine if "being in high school" and "GPA above 3.0" are independent events, we can check if the proportion of high school students with a GPA above 3.0 is the same as the proportion for college students. If the events are independent, the proportions should be equal.

From the two-way frequency table provided, we can calculate the proportions. There are 60 high school students and 40 college students. Among these, 14 high school students and 26 college students have a GPA above 3.0.

The proportion of high school students with a GPA above 3.0 is 14 out of 60, which simplifies to about 0.233.

The proportion of college students with a GPA above 3.0 is 26 out of 40, which simplifies to about 0.650.

Because these proportions are not equal, we can conclude that the events are not independent. Being in high school appears to have an impact on whether a student has a GPA above 3.0, based on this data set.

Therefore, the events 'being in high school' and 'GPA above 3.0' are not independent according to the data provided.

Answer:

The answer is B [tex]4^{6}[/tex].

Step-by-step explanation:

The number of horses is given by the expression;

[tex](4^{2} )^{3} *4^{0}[/tex]

First we can simplify the value to the left of the multiplication,

[tex](4^{2} )^{3}[/tex]

This is a indices multiplication so we can rewrite this as,

[tex]4^{6}[/tex]

Now we can look at the value that is to the right of the multiplication.

[tex]4^{0}[/tex]

If you take any number that is not 0 and it's index is 0 the value of that number will be one.

Therefore, [tex]4^{0}[/tex] = 1

Now we can write the full expression as;

[tex](4^{2} )^{3} *1[/tex]

=[tex](4^{2} )^{3}[/tex]

=[tex]4^{6}[/tex]

Therefore the answer is B [tex]4^{6}[/tex].

Answer:the answer is b  4r-s

Step-by-step explanation:

Answer: The correct answer is (B.)   4^r-s

Step-by-step explanation:

When dividing exponents you subtract them by each other, but because r and s are not the same and represent a different type of number, we just show that they were subtracted by each other.

4^r-s

For this case we have:

By definition, two points are needed to find the equation of a line. We have a series of points given by:

[tex](x, y) = (time, cost)[/tex]

We chose two points:

[tex](t1, c1) = (1,180)\\(t2, c2) = (2,240)[/tex]

By definition, the formula of the slope is given by:

[tex]m =\frac{(c2-c1)}{(t2-t1)}[/tex]

Substituting:

[tex]m =\frac{240-180}{2-1}[/tex]

[tex]m =\frac{60}{1}\\m = 60[/tex]

Being a line of the form [tex]y = ax + b[/tex], we substitute a point and the slope found to find the cut point b.

[tex]180 = 60 * 1 + b\\180 = 60 + b\\b = 180-60\\b = 120[/tex]

Thus, the equation of the line is given by:

[tex]y = 60x + 120[/tex]

Answer:

Option C

Hello!

Solve for m.

Answer:⇒⇒⇒⇒⇒⇒⇒[tex]m=\frac{-n+p}{10}[/tex]

Step-by-step explanation:

Add p from both sides.

[tex]10m-p+p=-n+p[/tex]

Simplify.

[tex]10m=-n+p[/tex]

Divide by 10 from both sides.

[tex]\frac{10m}{10}=-\frac{n}{10}+\frac{p}{10}[/tex]

[tex]m=\frac{-n+p}{10}[/tex]

Hope this helps!

Thank you for posting your question at here on brainly.

-Charlie

The solution of the equation 10m - p = - n for m is (p - n)/10.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

Given the equation,

10m - p = - n

10m = -n + p

10m = p - n

m = (p - n)/10

Hence "The solution of the equation 10m - p = - n for m is (p - n)/10".

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We know that the perimeter of a rectangle is twice the length, plus twice the width.  

P = 2L + 2W  

We also know that the perimeter is 156.  

P = 156  

Finally, we know that the width is 12 less than the length.  

W = L - 12.  

The next thing that we do is substitute the information that we have into the original equation:  

P = 2L + 2W  

156 = 2L + 2(L - 12)  

From this point we start to solve  

156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis  

156 + 24 = 2L + 2L - 24 + 24  

180 = 2L + 2L <--- getting like terms on same sides  

180 = 4L <---combining like terms  

180/4 = 4L/4 <--- getting like terms on same sides  

45 = L <---now we have a value for L  

Now we take the known value for L and substitute it in to our equation for W  

W = L - 12  

W = 45 - 12  

W = 33  

So now we have Length = 45 and Width = 33.

w = l - 12

156 = 2l + 2w

Since we have a value of w, we can plug that into the variable w to find the exact value of l.

156 = 2l + 2(l - 12)

Distributive property.

156 = 2l + 2l - 24

Combine like terms.

156 = 4l - 24

Add 24 to both sides.

180 = 4l

Divide both sides by 4.

l = 45

Now that we have the exact value of l, we can find the exact value of w.

w = l - 12

w = 45 - 12

w = 33

We now know the width is equal to 33 cm, and the length is equal to 45 cm. (This is your answer.)

We can verify by plugging these values into the second equation.

156 = 2l + 2w

156 = 2(45) + 2(33)

156 = 90 + 66

156 = 156 √ this is correct.

9, -12, 24

The zeroes are the numbers in the parentheses with the opposite signs (-9 becomes 9, 12 becomes -12, and -24 becomes 24)

The zeros of the polynomial are 9, −12, 24.

option (c) is correct.

It is given that the  polynomial is

f(x) = (x − 9)(x + 12)(x − 24)

To find  the zeros of the polynomial.

A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power.

The given polynomial is

f(x) = (x − 9)(x + 12)(x − 24)

If f(x) =0

0 = (x − 9)(x + 12)(x − 24)

then

x-9=0 or x+12=0 or x-24=0

x=9 or x=-12 or x=24

so ,  the zeros of the polynomial are 9, −12, 24.

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It doesn't seem like you can put this in standard form since you are lacking variables.

Standard form of a polynomial:

x^3 + x^2 + x + n = 0

now if I'm correct the answer should be C I hope I was a good help for you

Option A is correct.

Cathy needs to collect linear data . She should collect the data of option A-The height of a building for 20 years.

Explanation:

Linear data is that data whose slope is always same. Here lets assume, initially the building had 2 floors. Each year 2 floors are added above the previous floors. So our coordinate will be (0,2) (1,4) (2,6) (3,8)  and so on.

So slope = [tex]\frac{difference in y}{difference in x}[/tex]

= [tex]\frac{4-2}{1-0} = \frac{2}{1}[/tex]

= [tex]\frac{8-6}{3-2}[/tex] = [tex]\frac{2}{1}[/tex]

So, here slope is 2 for all coordinates.

I think its B (top right)

Large number and small number are 44 and 17

Given:

Sum of two number = 61

Find:

Both numbers

Assume;

Small number = a

Large number = 3a - 7

Computation:

a + 3a - 7 = 61

4a - 7 = 61

4a = 61 + 7

4a = 68

a = 68 / 4

a = 17

So,

Small number = 17

Large number = 3a - 7

Large number = 3(17) - 7

Large number = 51 - 7

Large number = 44

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2*2*3*5 are the prime factors of 60

2, 3 and 5 are the prime factors of 60.

A three dimensional object grow from :(C). two dimensional

A three dimensional object is one that is more real and tangible in our present world. A three dimensional object an object that has both Height, width and depth.

A three dimensional object consists of man and mostly all we see every where in our daily living.

The three dimensional object is very important, and that is why it is being employed by different organization like the film industry, because it make it look real and tangible.

In conclusion, A three dimensional object grow from two dimensional

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You will have 2 piano lessons and 6 tuba lessons

To solve this, we find the least common multiple (LCM) of 7 and 3, which is 21. Not counting the initial or ending day, there are 19 days in between, during which time 2 piano lessons and 6 tuba lessons occur.

The key concept in this question is the Least Common Multiple (LCM) of two numbers. Given that you have piano lessons every 7 days and tuba lessons every 3 days, we are seeking to find out when these cycles will align again. The LCM of 7 and 3 is 21, meaning that you will have both lessons on the same day every 21 days.

Not counting today or that next joint lesson day (a total of 21 days), we then have 19 days remaining. For piano lessons, since they occur every 7 days, you will have 19 / 7 = 2 piano lessons in between, with some non-whole number of days leftover. Similarly, you will have 19 / 3 = 6 tuba lessons in between, again with a non-whole number of days leftover. Therefore, the answer is 2 piano lessons and 6 tuba lessons.

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Your answer is B.47 degrees

2x+6=45

2x=39

x=19.5

i hope that's helpfull......... is it?

2x + 6 = 45

2x = 45 - 6

2x = 39

x = 39 : 2

x = 39/2 or 19.5 (39 : 2=19.5)

In mathematics, we convert division of fractions to multiplication by using the reciprocal of the divisor. By following these steps, -10/19 divided by (-5/7) simplifies to 14/19.

The problem at hand involves the division of two fractions, -10/19 divided by (-5/7). In mathematics, the division of fractions is performed by converting the division operation into multiplication by making use of reciprocal of the divisor. That means we replace the division symbol between the two fractions with a multiplication symbol and inverse the divisor (which is the fraction that comes after the division symbol).

Let's perform the operation step-by-step:

So, the result of -10/19 divided by (-5/7) is 14/19.

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She need to work a total of 6 hours of being a hostess because if she just works 5, she will not get the total $150 she needs to earn. I took this test and I got it correct.

The inequality that represents the number of hours Lynn needs to work both as a hostess and babysitting in order to earn at least $150 in a week is 7.5h + 10b ≥ 150. Here 'h' is the number of hours Lynn works as a hostess and 'b' is the number of hours she babysits.

To solve this mathematics problem, you need to set up an inequality. Lynn works at the restaurant earning $7.50 per hour (represented by 'h') and babysits earning $10 per hour (represented by 'b'). Given that she needs to make at least $150 in one week, the expression of her earnings from both jobs must be greater than or equal to 150. Hence the inequality will be 7.5h + 10b ≥ 150.

The coefficient of 'h' represents the wage rate Lynn earns per hour working as a hostess and 'b' is the number of hours she babysits. The sum of her earnings from both jobs is her total income. This sum must be at least $150, hence the 'greater than or equal to' sign.

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Answer:

First answer

number of cats = 2

number of hamsters = 4

number of birds = 8

number of fishes = 1

Second answer

number of cats = 3

number of hamster = 6

number of  birds   =2

number of fishes =  4

Step-by-step explanation:

Let the number of cats be x . Let number of birds be y and Let number of fishes be z.

number of hamsters = 2 number of cats

                                    =2x

birds +cats + hamsters + fish = 15

 y +x +2x + z  = 15  

y +3x + z =  15

then number of hamsters = 2x

birds has legs = 2

hamster legs = 4

cats legs = 4

total legs  =40

2y+4x+4(2x) =40

2y+12x = 40

y+6x = 20   ,Since x ,y z are natural number   ,since x ,y and z are numbers of pets of each kind which have to be natural number ,therefore

Case 1 for y = 2   x = 3

for y = 8  x = 2

for y = 2 and x =3 ,we have

2+3(3) +z = 15

2+9+z = 15

11 +z = 15

 z = 15 -11 = 4

Case 2

for y= 8 and x=2 ,we have

8 +3(2) + z = 15

8 +6 +z = 15

   z =15-14 = 1

We have two answers for this problem

First answer

number of cats = 2

number of hamsters = 4

number of birds = 8

number of fishes = 1

Second answer

number of cats = 3

number of hamster = 6

number of  birds   =2

number of fishes =  4

For case 1   fish % =   [tex]\frac{1}{15} x100[/tex]=6.67 %

For case 2  fish =   [tex]\frac{3}{15} X100=20%[/tex]

Tina has 3 cats, 6 hamsters, 8 birds, and 0 fish, therefore 20% of her pets are cats.

First, let's denote the number of cats as 'x'. According to the question, the number of hamsters, which have twice as many as cats, is '2x'. Every cat and hamster has 4 legs. So the total number of legs from cats and hamsters is 4x (from cats) + 8x (from hamsters) = 12x. We know that the total number of legs is 40, so we can solve the equation 12x=40, therefore 'x', the number of cats, is approximately 3, making hamsters 6 (2x). This adds up to 9 pets, leaving us with 15 - 9 = 6 birds and fish. Since birds and fish have two legs and zero legs, respectively, the last 16 legs must belong to birds. That leaves the remaining pets (6-8=0) as fish.

As for the percentage of Tina's pets that are cats, we use the formula for finding a percentage:  (number of cats / total number of pets) * 100. So, (3 / 15) * 100 = 20%. Therefore, "20% of Tina's pets are cats".

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x=3

multiply 2 to both sides to cancel denominator

subtract 8x from both sides and then divide by 2

[tex]\dfrac{6+8x}{2}=5x\\\\\dfrac{6}{2}+\dfrac{8x}{2}=5x\\\\3+4x=5x\qquad|\text{subtract 4x from both sides}\\\\3=x\to x=3[/tex]

An expression is a collection of numbers and variables in a given operation, the equivalent expression of the given expression 15x + 24ax is 3x(5+8a).

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

The example of expression is 2x + 3y = -8. Here x and y is referred to as variable and 2,3. And 8 will be constant.

Another example of an algebraic expression is 4x + 8x² < 56.

The given expression is,

15x + 24ax

Taking x as common

x(15+24a)

Taking 3 common

3x(5+8a)

Hence "The equivalent expression of the given expression 15x + 24ax is 3x(5+8a)".

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This answer can be found by deviding 225 by 12. The exact answer is 18.75, but obviously you can’t put 3/4 of a flower in a vase. In that case, the best estimate would be 18-19 flowers, or just 19.

The better deal is 8 ounces of shampoo for $0.89.

To determine which deal is better, we need to compare the price per ounce for each shampoo option. For the first option, we have 8 ounces for $0.89, which means each ounce costs $0.11. For the second option, we have 12 ounces for $1.47, which means each ounce costs $0.1225. Therefore, the better deal is 8 ounces of shampoo for $0.89 as it has a lower price per ounce.

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could you rewrite it or is it (54-6)+54/6

because that would be 48+9=57

(- 1, 2 ) and ( -1, 0) have the same x-value

for the graph to represent a function there must be only one y- value for each x- coordinate. Here there are 2 so this is not a function

Answer:

84 acres

Step-by-step explanation:

Answers to what? There's no image or anything on here