Which statements are true about the graph of function f?
F(x)=1n x
Please I really need help!!

Answer:

f(x) = -7x + 1

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is slope

b is y-intercept

--------------------------

y decreases by 7 for each increase of 1 in x

slope = -7

to find "b" plug in one of the points and m = -7

using point (3, -20)

y = mx + b

-20 = -7(3) + b

-20 = -21 + b

b = 1

The equation is

f(x) = -7x + 1

Answer:

20 adults and 10 children

Step-by-step explanation:

We need to find the total amount of adults and children for 30 total people (adults + children) and only 100$ for them. 30 adults is 120$. We need to take off double the amount of money that would bring it to 100$ because the cost for each child is half of an adult. That way, we have 80$ of adults, and when we fill in the rest with children, we get to 100$ total and 30 total people.

Answer:

10 children  20 adults

Step-by-step explanation:

children = c

adult = 2c (double than children)

2(c) + 4(2c) = 100

10c = 100

c = 10     10 children

30-10 = 20   20 adults

$2(10) = $20

$4(20) = $80

$20+$80 = $100

Answer:

18%

Step-by-step explanation:

Hope this helps :))

Answer:

the answer is 18%

hope this helps

Answer:

3

Step-by-step explanation:

We can use the Pythagorean thorem to solve this question

leg = [tex]\sqrt{hypotenuse^2 - leg^2} = \sqrt{(3\sqrt{5})^2 - 6^2} = \sqrt{45 -36} = \sqrt{9} = 3[/tex]

Answer:

The answer is B

Step-by-step explanation:

Answer:

23.63% chance that exactly three is elderly

Step-by-step explanation:

The people are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

101 total people means that [tex]N = 101[/tex]

Sample of 6 means that [tex]n = 6[/tex]

66 elderly means that [tex]k = 66[/tex]

If you talked to six random people there, what is the percent chance that exactly three is elderly?

This is P(X = 3). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,101,6,66) = \frac{C_{66,3}*C_{35,3}}{C_{101,6}} = 0.2363[/tex]

0.2363*100% = 23.63%

23.63% chance that exactly three is elderly

Answer: A

Step-by-step explanation:

Answer:

a.30

b.12

i cant figure out the rest i am so sry im

trying to figure it out tho

Answer:

I think it could be 28 because 28 minis 5 is 23

Answer:

no

Step-by-step explanation:

18 is not a multiple of 12

and 12 is not a multiple of 8

Answer:

These tables represent a quadratic function with a vertex at (0,-1) what is the average rate of change for the interval from x=7 to x=8?

B.-15

Step-by-step explanation:

The average rate of change from 7 to 8 = -15

The average rate of change of a quadratic function is calculated using:

Rate = (f(b) - f(a))/(b - a)

The interval is from x = 7 to 8.

So, we have:

(a,b) = (7,8)

The equation becomes

Rate = (f(8) - f(7))/(8 - 7)

Evaluate the difference

Rate = (f(8) - f(7))/1

This gives

Rate = f(8) - f(7)

From the table, we have:

Rate from 5 to 6 = -11 where the constant is -2

So, we have:

Rate from 6 to 7 = -11 - 2

Rate from 6 to 7 = -13

Also, we have:

Rate from 7 to 8 = -13 -2

Rate from 7 to 8 = -15

Hence, the average rate of change from 7 to 8 = -15

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Answer:

$33000

Step-by-step explanation:

Given data

Principal= ​$22,000

Rate= 6%

Time= 25 years

The interest to be paid is

Simple interest= PRT/100

Simple interest= 22000*6*25/100

Simple interest=3300000/100

Simple interest=$33000

Hence the total simple interest paid is $33000

Answer:

c ) 1280 m^3

here,

slant height (s)= 17m

vertical height ( h)= 15m

length (a)= ?

so,

s^2 = (a/2)^2 + h^2

(17)^2 = (a/2)^2 + 15^2

64 = (a/2)^2

8^2= (a/2)^2

8×2 = a so a = 16

Now we know

volume of pyramid

= 1/3 × a^2 × h

= 1/3 × 16^2 × 15

= 1/3 × 256 × 15

= 1280 m^3

Both a and b lie in the second quadrant, which means

π/2 < a < π

π/2 < b < π

for which we have both cos(a) and cos(b) negative, while both sin(a) and sin(b) are positive. We're also given that

cos(a) = -2/3

csc(b) = 2   =>   sin(b) = 1/2

Now, recall the following identities:

• sin^2(x) + cos^2(x) = 1

• sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

• cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

• tan(x) = sin(x)/cos(x)

Now,

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

… = √(1 - cos^2(a)) (-√(1 - sin^2(b))) + cos(a) sin(b)

* * where we take the negative square root because we expect cos(b) < 0 * *

… = - √(1 - (-2/3)^2) √(1 - (1/2)^2) + (-2/3) (1/2)

… = - √(1 - 4/9) √(1 - 1/4) - (2/3) (1/2)

… = - √(5/9) √(3/4) - 1/3

… = - (√5/3) (√3/2) - 1/3

… = -√15/6 - 1/3

… = -(√15 + 2) / 6

From the above, we know sin(a) = √5/3 and cos(b) = -√3/2. Then

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

… = (-2/3) (-√3/2) - (√5/3) (1/2)

… = √3/3 - √5/6

… = (2√3 - √5) / 6

and so it follows that

tan(a + b) = sin(a + b) / cos(a + b)

… = (-(√15 + 2) / 6) / ((2√3 - √5) / 6)

… = - (√15 + 2) / (2√3 - √5)

… = - (√15 + 2) (2√3 + √5) / ((2√3 - √5) (2√3 + √5))

… = - (2√45 + 4√3 + √75 + 2√5) / (12 - 5)

… = - (6√5 + 4√3 + 5√3 + 2√5) / 7

… = - (8√5 + 9√3) / 7

Answer:

43.98

Step-by-step explanation:

i was doing a problem like that on my math paper as well

Answer:

-30

Hope this helps!

Answer:

141

Step-by-step explanation:

CD = | 4-(-2)| = 6

DB = |3-(-7)| = 10

area of a right triangle

A = (leg 1 x leg2)/2 = (6 x 10)/2 = 30

EB = |3-(-3)| = 6

EF = |-8-(-2)| = 6

area of a square = side^2

A = 6^2 = 36

segment G(and a point with same x coordinate of H)

|8-3| = 5

segment H(and the same point)

|-10-(-8)| = 2

A = (5x2)/2 = 5

segment I(and the same point)

|-8-6| = 14

Area of a rectangle

A = base x width

A = (5 x 14) = 70

total area = 70 + 5 + 36 + 30 = 141

Answer:

8 yards < 10 yards

He has enough.

Step-by-step explanation:

1 yard = 3 feet

y yards = 24 feet

[tex]\frac{1}{3} :\frac{y}{24}[/tex]

y · 3 = 1 · 24

3y = 24

3y ÷ 3 = 24 ÷ 3

y = 8

24 feet = 8 yards

8 yards < 10 yards

Answer:

20.32$

Step-by-step explanation:

25.40×.20 = 5.08

25.40- 5.08 = 20.32

so the answer would be 20.32$

Answer:

Q1 = 23 ; median = 28 ; Q3 = 36

TOP 25% = 3 students (Pauleen ; Vic and Tito).

Extra credit students : (students whose score range between 23 and 36. (score of 23 is not included).

Remediation = 4 students (Pia, Joey, Ryan and Allan

Step-by-step explanation:

Given the scores :

35, 23, 42, 36,36,27,42,28,35,18,42,25,27,18,20

Ordering the scores in ascending order :

18, 18, 20, 23, 25, 27, 27, 28, 35, 35, 36, 36, 42, 42, 42

The lower quartile :

Q1 = 1/4 * (n+1)th term

Q1 = 1/4 * 16 = 4th term

Q1 = 23

The median :

Q2 = 1/2 * (n+1)th term

Q2 = 1/2 * 16 = 8th term

Q2 = 28

The upper quartile :

Q3 = 3/4 * (n+1)th term

Q3 = 3/4 * 16 = 12th term

Q3 = 36

The top 25% refers to the student who scored beyond the 75 percentile score :

Number of students = (15th - 12th) = 3 students students who scored 42

Pauleen ; Vic and Tito.

The middle 50% gets extra credit : This is the interquartile range :

This are the students whose score range between 23 and 36. (score of 23 is not included)

Students who have to attend the remedial class are those in the lower quartile, student with score of 23 and below.

4 students and they are : Pia, Joey, Ryan and Allan

Answer:

AD = 6m

Step-by-step explanation:

Sin(30) = AD / 12

Sin(30) * 12 = AD

6 = AD

Hope this helps!

Find AD.

[tex] \sf a. \: 2\sqrt{3} \: m[/tex]

[tex] \sf b. \: 3 \sqrt{3} \: m[/tex]

[tex] \sf c. \: 6 \: m[/tex]

[tex] \sf d. \: 6 \sqrt{3} [/tex]

____________________

Here, Sin θ is 30°

Sin = [tex] \bf \frac{perpendicular}{hypotenuse} [/tex]

Here, θ is 30°

Substituting the values, We get,

∴ Sin ( 30 ) = [tex] \sf \frac{AD}{BC} [/tex]

Substituting the value of BC as 12, We get,

⇒ Sin ( 30 ) = [tex] \sf \frac{AD}{12} [/tex]

Transposing 12 to Left Hand Side, We get,

⇒ Sin ( 30 ) × 12 = AD

Calculating further, We get,

⇒ AD = 6 m

∴ AD = 6 m

The Length of AD is 6 m

9:7 is the ratio of crayons to colored pencils.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

The ratio of crayons to colored pencils can be found by dividing the number of crayons by the number of colored pencils:

The ratio of crayons to colored pencils = 27/21

Simplifying this ratio by dividing both the numerator and denominator by 3, we get:

The ratio of crayons to colored pencils = 9/7

Therefore, the ratio of crayons to colored pencils is 9:7.

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Answer:

answer is 16/3

Step-by-step explanation:

let the number be x

1/4*x=4/3

x=4/3*4/1

x=16/3

now checking the answer .In place of x put 16/3

1/4*16/3

16/12

4/3

hence 16/3 times 1/4 is 4/3

Answer:

C.

Step-by-step explanation:

Most people do not want personal information about sensitive topics revealed about themselves, so Topic A requires anonymity.  

With non-sensitive topics, people are usually comfortable with revealing their identity, so Topic B doesn't require anonymity.

Answer:

The 99% confidence interval estimate of the proportion of people who say that they voted is (0.6623, 0.7369).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a survey of 1002 people, 701 said that they voted in a recent presidential election.

This means that [tex]n = 1002, \pi = \frac{701}{1002} = 0.6996[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6996 - 2.575\sqrt{\frac{0.6996*0.3004}{1002}} = 0.6623[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6996 + 2.575\sqrt{\frac{0.6996*0.3004}{1002}} = 0.7369[/tex]

The 99% confidence interval estimate of the proportion of people who say that they voted is (0.6623, 0.7369).

Answer:

A

Step-by-step explanation:

Edge

The option A, O minimum value = 1; maximum value = 6 is correct.

We have given that,

Using the extreme value theorem, what are the minimum and maximum values of f(x).

Extreme Value Theorem An important application of critical points is in determining possible maximum and minimum values of a function on certain intervals.

Therefore, The option A, O minimum value = 1; maximum value = 6 is correct.

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Answer:

-3. and -0.5

Step-by-step explanation:

i hope that helps