Please help fast!, i'd really like the correct answers- :'O

Answer:

[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=-1[/tex].

Step-by-step explanation:

Consider the given limit problem is

[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=?[/tex]

We need to find the value of given limit problem.

Taking limit, we get

[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=\dfrac{2(1)^2-9(1)+9}{(1)-3}[/tex]

[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=\dfrac{2-9+9}{-2}[/tex]

[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=\dfrac{2}{-2}[/tex]

[tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=-1[/tex]

Therefore, [tex]\lim_{x\to 1}\dfrac{2x^2-9x+9}{x-3}=-1[/tex].

Answer:

[tex]\bold{\dfrac{63}{143}}[/tex]

Step-by-step explanation:

Number of Democrats = 6

Number of Republicans = 7

Total number of members = 6+7 = 13

To find:

Probability of selecting two Democrats and two Republicans if 4 members are selected in the committee = ?

Solution:

This is a selection problem.

Total number of ways to select 4 members in the committee out of total 13 = [tex]_{13}C_4 = \dfrac{13\times 12\times 11\times 10}{4\times 3\times 2} = 715[/tex]

Number of ways to select 2 Democrats = [tex]_{6}C_2 = \dfrac{6\times 5}{2} = 15[/tex]

Number of ways to select 2 Republicans = [tex]_{7}C_2 = \dfrac{7\times 6}{2} = 21[/tex]

Number of ways to select 2 Democrats and 2 Republicans = 15 [tex]\times[/tex] 21 = 315

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, required probability:

[tex]\dfrac{315}{715} = \bold{\dfrac{63}{143}}[/tex]

3.5,

since 3350/670 = 5, we know that the 2345.0/670 = 3.5

Answer:

3.5

Step-by-step explanation:

1. divide 3350/670=5

2. place the 5 in the spot above, which is right after the decimal

Answer: C): when showing trends

Step-by-step explanation:

A Line graph connects different points such that it appears as a line. For this reason it is very useful in showing the trend in the movement of values overtime.

When plotting line graphs the independent variable for example 'months' is usually put on the x-axis and a dependent variable such as 'temperature' will be on the y-axis.

When plotted, the line will be able to show just how things have changed overtime such that the change is quite easy to see through the movement of the line.

Find the academic calendar, and then answer: How many days after the end of the course are the final grades published? Select one:

a. 12 days

b. 7 days

c. 14 days

d. 3 days

Answer:

7 days

Step-by-step explanation:

Take note that under standard practice and based on the information available that it would take up to 7 days after the end of a course for the final grades to be published.

Thus, the correct option is 7 days.

Answer:

Just Divide 4950/550 and you'll get 9 truckloads

Step-by-step explanation:

Answer:

− 4 x ^2 + 2 x − 8

Step-by-step explanation:

Subtract 4 x from 3x. (-4x^2+3x-5−4x)

= -4x^2-x-5

Subtract  5  from  2  (2 +3x−5)

= 3x-3

Put it together (-4x^2-x-5+3x-3)

Simplify the expression.

Answer = -4x^2+2x-8

Answer:

9.2 =x

Step-by-step explanation:

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

tan theta = opp/ adj

tan 57 = x/6

6 tan 57 = x

9.239189783 = x

9.2 =x

The real numbers is one set, and so is the the set of integers since this set is { ..., -3, -2, -1, 0, 1, 2, 3, ...} composed of positive and negative whole numbers, along with 0.

The value -15 is also in the rational set because we can write it as a fraction of two integers:  -15 = -15/1

Answer:

seven hundred and ninety-five thousandths

Step-by-step explanation:

Answer:

3,11,13 are the prime numbers.

Answer:

1, 3, 11, 13

Step-by-step explanation:

you can't multiply two numbers to equal them

Answer:

Hey there!

Original function: f(x)=-x-3

Substituting -4: f(-4)=4-3

Simplify: f(-4)=1

Let me know if this helps :)

F(x) = -x - 3

F(-4)

Replace x with -4 and solve:

F(-4) = -(-4) -3

-(-4) = positive 4

So you have 4-3

4-3 = 1

F(-4) = 1

Answer:

  2

Step-by-step explanation:

The distances have the ratio:

  (C -A) = (2/3)(B -A)

  C = (2/3)B +(1/3)A . . . . . add A

  C = (2B +A)/3 . . . . . . . . combine terms

  C = (2(4) +(-2))/3 = 6/3 = 2

The coordinate of C is 2.

Answer:

x = 5

AB = 14 units

Step-by-step explanation:

From the picture attached,

In the given triangles ΔAEB and ΔCDB,

AE║CD and ED is a transverse,

∠EAB ≅ ∠DCB [Alternate interior angles]

AE║CD and AC is a transverse,

∠AEB ≅ ∠CDB [Alternate interior angles]

ΔAEB ~ ΔCDB by AA property of the similarity of two triangles.

Therefore, corresponding sides of these triangles will be proportional.

[tex]\frac{\text{AE}}{\text{CD}}=\frac{\text{BE}}{\text{BD}}=\frac{\text{AB}}{\text{BC}}[/tex]

[tex]\frac{\text{BE}}{\text{BD}}=\frac{\text{AB}}{\text{BC}}[/tex]

⇒ [tex]\frac{7}{4}=\frac{2x+4}{x+3}[/tex]

⇒ 7x + 21 = 8x + 16

⇒ 8x - 7x = 21 - 16

⇒ x = 5

AB = (2x + 4)

     = 10 + 4

     = 14 units

Answer:

Step-by-step explanation:

Formula for locating the Median of a grouped data = (N+1)/2 th where

N is the total number of defects.

Total defects = 10+18+13+15+9+12

Total defects = 77

Median value = (77+1)/2 th value

Median value = 78/2 = 39th value.

We will cummulate the frequency (number of defects up to the 38th value) and locate the corresponding observation value.

On cummulating:

10+18+13 = 41

We can see that the value of 38 falls on the third column(13), hence the median will be the equivalent number of observations i.e 3.

Therefore the sample median is 3

Step-by-step explanation:

woman = total students - men

= 26 - 11

=15

for fraction of woman , you take the 15(woman) over the total of people in the class,26.

Therefore your answer is 15 over 26

Answer:

42.3% or 42% simplified

Step-by-step explanation:

Answer:

+ square root of 20  ------->     +[tex]\sqrt{20}[/tex]

Step-by-step explanation:

[tex]x^{2}=20[/tex]

[tex]x=\sqrt{20}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

yes at line HE.

Step-by-step explanation:

Plane GFE is the plane that contains face EFGH of the prism.

Plane HBC is the plane that contains face BCEH of the prism.

The two planes do intersect, and their intersection is line HE.

Answer:

6

Step-by-step explanation:

Answer: 32

Step-by-step explanation:

4 dozen beads is 48 beads. Divide 48 into 6 groups, and your answer is 8. If Rosa gave 2 groups to her friend, she gave 16 beads, which leaves her with 32 beads.

Answer: 32

Step-by-step explanation:

1 dozen = 12.

4 dozen x 12 = 48.

48 ÷ 6 = 8

If she gave two groups of 8 beads, that is 16 beads.

48 beads - 16 beads = 32 beads.

The answer is 32 beads.

Answer:

B. 229

Step-by-step explanation:

I solved it by multiplying the 4.02 and 29.92. Then, added the numbers together and rounding the solution to the nearest whole number.

Answer:

sin(8x)

Step-by-step explanation:

assuming that you didn't mean to write it twice

Answer:

v < -7

Step-by-step explanation:

Step 1: Write out equation

-4v - 25 > 2v + 17

Step 2: Add 4v to both sides

-25 > 6v + 17

Step 3: Subtract 17 on both sides

-42 > 6v

Step 3: Divide both sides by 6

-7 > v

Step 4: Rewrite

v < -7

Answer:

[tex]\huge\boxed{y=-3x-1}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2.\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have}\ y=-3x\to m_1=-3.\\\\\text{Therefore, we have a initial parallel line equation:}\\\\y=-3x+b\\\\\text{The line passes trough the point}\ (-1,\ 2).\\\\\text{Substitute}\ x=-1,\ y=2:\\\\2=-3(-1)+b\\2=3+b\qquad\text{subtract 3 from both sides}\\-1=b\to b=-1\\\\\text{Finally:}\\\\y=-3x-1[/tex]

Answer:

A. No, because the probability of success does not remain the same in all trials.

Step-by-step explanation:

In this procedure the number of televisions could vary in each house. Some people have one , two, even three or some may not have any. So the number of successes in each trial varies as the number of televisions varies.

Therefore, it is not a binomial distribution. It is necessary that for a binomial distribution the probability of success for each trial remains fixed.

Complete question is;

​In a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S.​adults, complete parts​ (a) through​ (c).

(a) Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is ________?(Round to three decimal places as​ needed.)

​(b) Find the probability that neither adult thinks most celebrities are good role models. The probability that neither adult thinks most celebrities are good role models is _______?(Round to three decimal places as​ needed.) ​

(c) Find the probability that at least one of the two adults thinks most celebrities are good role models. The probability that at least one of the two adults thinks most celebrities are good role models ______? (Round to three decimal places as​ needed.)

Answer:

A) 0.062

B)0.564

C)0.436

Step-by-step explanation:

There are 800 US adults sampled and 199 think that most celebrities are good role models.

Now, two are selected without replacement.

Thus;

A) Probability that both adults think most celebrities are good role models would be = (199/800) × (198/799) = 39402/639200 = 0.062

B) we want to find probability that neither adult thinks most celebrities are good role models.

Now, since 199 out of 800 think that most celebrities are good role models..

Thus, number that doesn't think most celebrities are good role models = 800 - 199 = 601

probability that neither adult thinks most celebrities are good role models. would be = (601/800) × (600/799)= 180300/319600 = 0.564

C) We want to find the probability that at least one of the two adults thinks most celebrities are good role models.

Now, since we already have the probability that neither of them thinks most celebrities are good role models, we will just subtract that probability from 1.

Thus;

probability that at least one of the two adults thinks most celebrities are good role models = 1 - 0.564 = 0.436

Answer:

let y=8x-6=0

soY=6

andy=8x

so,y=6 and x=3/4

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{125 \: {cm}^{2} }}}}}[/tex]

Step-by-step explanation:

Let the width be 'w'

Length of a rectangle = 5w

Perimeter of a rectangle = 60 cm

Area of a rectangle = ?

First, finding the value of width ' w '

[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]

plug the values

⇒[tex] \sf{60 = 2(5w + w)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{60 = 10w + 2w}[/tex]

Collect like terms

⇒[tex] \sf{60 = 12w}[/tex]

Swap the sides of the equation

⇒[tex] \sf{12w = 60}[/tex]

Divide both sides of the equation by 12

⇒[tex] \sf{ \frac{12w}{12} = \frac{60}{12} }[/tex]

Calculate

⇒[tex] \sf{w = 5}[/tex] cm

Finding the value of length ( l )

[tex] \sf{length = 5w}[/tex]

Substitute the value of w

⇒[tex] \sf{length = 5 \times 5}[/tex]

⇒[tex] \sf{length = 25 \: cm}[/tex]

Finally, Finding the area of rectangle having length of 25 cm and width of 5 cm

[tex] \boxed{ \sf{area \: of \: a \: rectangle = l \times b}}[/tex]

plug the values

⇒[tex] \sf{area \: = \: 25 \times 5}[/tex]

Multiply the numbers

⇒[tex] \sf{area \: = \: 125 \: {cm}^{2} }[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\large \boxed{\mathrm{served \ a \ greater \ variety \ of \ ages}} \\ \\ \large \boxed{\mathrm{range}}[/tex]

Step-by-step explanation:

Restaurant A served a greater variety of ages than Restaurant B, because the range of data for Restaurant A is greater than that of Restaurant B.

Range of a data set is the data spread.

Restaurant A is serving a greater variety of ages of people since it has a higher range than that of Restaurant B.

Answer:

1. Served a greater variety of age

2. range

Step-by-step explanation:

Restaurant A served a greater variety of age than Restaurant B, because the range of data for Restaurant A is greater than that of Restaurant B.

=> When we see the box plot, we come to know that the range (maximum - minimum) is greater for Restaurant A.