2. Find the distance between (-2,1) and (3,4).

Answer:

11/18

Step-by-step explanation:

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

Answer:

11/18

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

ez

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - 15 = 12

x = 27

Answer:

equation C

Step-by-step explanation:

y-axis = 4

gradient of line is -2/3

Answer:

4

out of  

32

−

4

x

.

4

(

8

−

x

)

Step-by-step explanation:

Answer:43.2

Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2

Answer:

I would say 15 ounces

Answer:

1. 3>-3

2. 12<24

3. -12>-24

4. 5=-(-5)

5. 7.2>7

6. -7.2<-7

7. -1.5=-3/2

8. -4/5>-5/4

9. -3/5=-6/10

10. -2/3<1/3

Step-by-step explanation:

Answer:

6 muffins

she can fit 6 into each box because 20 divided by 3 is eighteen with a remainder of 3. 18 goes into 3 6 times.

Answer:

$4.46

Step-by-step explanation:

$60- 24.32= $35.68

So $35.68=8 bags of potatoes.

Then ÷8 to find 1 bag.

$35.68 ÷8 = $4.46

$4.46=1 BAG

Look where the graph crosses the vertical y axis. This point is the y intercept.

In this case, the y intercept is located at (0, -1)

You start at the origin (0,0) and move down 1 unit to get to (0, -1)

Side note: The equation of this line is y = 2x-1

Answer:

h

Step-by-step explanation:

Answer:

230

Step-by-step explanation:

You should multiply 345 by 2/3 or you can divide 345 by 3, which equaks 115 and then multiply 115 by 2 which equals 230.

The number of boys in the school is 207.

Given

The ratio of girls to boys in a school simplifies to 2:3.

We need to find out how many boys are there if there are 345 students in the school.

The ratio gives us an idea between two quantities.

It is denoted by a:b

Example:

The ratio of apple and mango in the basket is 1:2.

The total number of fruits is 12.

Apple = [ 1 / (1+2) ] x 12 = (1/3) x 12 = 4

Mango = [ 2/(1+2) ] x 12 = (2/3) x 12 = 2 x 4 = 8

We have,

Total number of students = 345

The ratio of girls to boys = 2:3

The number of boys :

= [ 3 / (2+3) ] x 345

= [ 3/5 ] x 345

= 3 x 69

= 207

Thus the number of boys in the. school is 207.

Learn more about ratios here:

https://brainly.com/question/1504221

#SPJ2

Answer:

31 is correct guys

Step-by-step explanation:

Since the data is incomplete, for the given question the required average rate of change is given by 15 + 3h.

Given that,
For a function j(x), the difference quotient is 3x2 + 3xh + h2.

The average rate of change of j(x) over the interval [–1, 6] is to be determined.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is independent while Y is the dependent variable.

Here, the average rate of change = f(6) - f(-1) / (6 + 1)
So,
f(6) = 108 + 18h + h²
f(-1) = 3 - 3h + h²

Now,
average rate of change = [(108 + 18h + h²) - (3 - 3h + h²)]/(7)
                                        = [105 + 21 h ] / 7
                                         =   15 + 3h

Thus,  the required average rate of change is given by 15 + 3h.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Step-by-step explanation: He will get the answer correct because if you add the 6 & 1 together it equals Seven. Seven was the original number that was supposed to be subtracted from 16.

Sorry if I didnt help

Answer:

B. 61

Step-by-step explanation:

7, 10, 13, 16...

ok so were starting with 7 and adding 3 every time

im going to do 3 times 19 like as if we started with 3 then im going to add 4

3 x 19 = 57

57 + 4 = 61

the 19th term is 61

Answer:

B: 61

Step-by-step explanation:

Hope this helps :)

Answer:

64 divided by 8

Step-by-step explanation:

Answer:

16 divided by 2 = 8

Step-by-step explanation:

Answer:

x² + 2x - 3

Step-by-step explanation:

Step 1: Write expression

(4x² - 3x + 1) - (3x² - 5x + 4)

Step 2: Distribute negative

4x² - 3x + 1 - 3x² + 5x - 4

Step 3: Combine like terms (x²)

x² - 3x + 1 + 5x - 4

Step 4: Combine like terms (x)

x² + 2x + 1 - 4

Step 5: Combine like terms (constants)

x² + 2x - 3

Answer:

55

Step-by-step explanation:

This is the equation of a parabola. To make things simpler, we can replace [tex]h[/tex] with [tex]y[/tex] and [tex]t[/tex] with [tex]x[/tex]. Therefore, [tex]y=-5x^2+30x+10[/tex]. Because the coefficient of the [tex]x^2[/tex] term is negative, we know the parabola points down, and the maximum height is the vertex. The x coordinate of the vertex of a parabola can be found with the equation [tex]-\frac{b}{2a}[/tex], or [tex]-\frac{30}{-10} = 3[/tex]. Plugging in [tex]3[/tex] into the equation gives us [tex]y = -5(3)^2+30(3)+10 = \boxed{55}[/tex]

Answer:

a

 Mutually exclusive

b

Not Mutually exclusive

c

Not Mutually exclusive

d

Not Mutually exclusive

Step-by-step explanation:

From the question we are told that

The number of bolt is n = 12

The event that all the bolt are torqued correctly is A

The event that the 3rd bolt is not torqued correctly is B

The event that exactly one bolt is not torqued correctly is C

The event that the [tex]4^{th}[/tex] and [tex]8^{th}[/tex] are torqued correctly is D

Generally for an event to be mutually  exclusive it means that both event can not occur at the same time

    Considering a  

      The  A and  B are mutually exclusive because they can not occur at the same time

    Considering b  

 The  event B and D are not mutually exclusive because they can occur at the same time

    Considering c

 Event  C and  D are not mutually exclusive because they can occur at the same time

    Considering d

   Event       B and  C are not mutually exclusive because they can occur at the same time

Answer:

C

Step-by-step explanation:

Answer:

D) positive association because the data on the scattergraph is decreasing (y axis) as the x axis increases.

Basically the data: theres a cluster, an outlier and has a negative association. Not a positive association.

Answer:

x^2 ≥ 4

Step-by-step explanation:

[tex]x^2\ge \:4\\\\\mathrm{For\:}u^n\:\ge \:\:a\\\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\:\le \:\:-\sqrt[n]{a}\:or\:u\:\ge \sqrt[n]{a}\\\\x\le \:-\sqrt{4}\quad \mathrm{or}\quad \:x\ge \sqrt{4}\\\\\sqrt{4}=2\\\\x\le \:-2\quad \mathrm{or}\quad \:x\ge \:2[/tex]

Answer:

A

You can take the square root of the inequality x^2<4, which will make it x< plus or minus 2 (x<2, x<-2)

You know it is this answer because, the sign cannot be greater than or equal to since the circles aren't filled, and if you solve the other inequality, the answer you get does not match.

Hope this helps!! :)

Answer:

Each person has 1/4 of a peice of paper

Step-by-step explanation:  Tyler cut the peices of paper in 4 equal pieces and if he gave himself and another person one peice then they would each of 1/4 of a peice of paper

Answer:

7 x 5 = 35 or the amount lost

Step-by-step explanation:

Answer:

There is approximately 17% chance of a person not having a disease if he or she has tested positive.

Step-by-step explanation:

Denote the events as follows:

D = a person has contracted the disease.

+ = a person tests positive

- = a person tests negative

The information provided is:

[tex]P(D^{c})=0.95\\P(+|D) = 0.98\\P(+|D^{c})=0.01[/tex]

Compute the missing probabilities as follows:

[tex]P(D) = 1- P(D^{c})=1-0.95=0.05\\\\P(-|D)=1-P(+|D)=1-0.98=0.02\\\\P(-|D^{c})=1-P(+|D^{c})=1-0.01=0.99[/tex]

The Bayes' theorem states that the conditional probability of an event, say A provided that another event B has already occurred is:

[tex]P(A|B)=\frac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A^{c})P(A^{c})}[/tex]

Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:

[tex]P(D^{c}|+)=\frac{P(+|D^{c})P(D^{c})}{P(+|D^{c})P(D^{c})+P(+|D)P(D)}[/tex]

              [tex]=\frac{(0.01\times 0.95)}{(0.01\times 0.95)+(0.98\times 0.05)}\\\\=\frac{0.0095}{0.0095+0.0475}\\\\=0.1666667\\\\\approx 0.1667[/tex]

So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.

As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.

Answer:

The data consisting of the classifications​ A, B,​ C, and D are qualitative.

After the data are input as​ 1, 2,​ 3, or​ 4 the data still be qualitative.

Step-by-step explanation:

The data consisting of the classifications​ A, B,​ C, and D are qualitative because data is categorized in A B C and D categories.

When the data are input as 1,2,3 or 4 it would be still be qualitative because here 1,2,3 or 4 as used as identifier rather than actual numerical meaningful digits.

The value of the function f(x) at x = - 2 is equivalent to 32.

Given is that the average rate of change of the function f(x) on the interval -2 is less than or equal to [x] which is less than or equal to 4 is -3.5.

In the range of {- 2 ≤ x ≤ 4}, the rate of change of f(x) is -3.5. This means we can write -

r = {f(4) - f(-2)}/(4 + 2)

f(4) = 11 and [r] = - 3.5. So, we can write -

- 3.5 = {11 - f(-2)}/6

11 - f(-2) = -3.5 x 6

11 - f(-2) = - 21

f(-2) = 11 + 21

f(-2) = 32

Therefore, the value of the function f(x) at x = - 2 is equivalent to 32.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

[tex] s = 7t [/tex]

Step-by-step explanation:

The table given shows that both variables are directly proportional to each other. That is, as s variable increases, y variable also increases.

Equation to represent this direct proportion would be:

[tex] s = kt [/tex],

where, k = constant of proportionality.

Let's find k from the table given.

Let's use any pair values of of s and t given in the table. Say, s = 21, t = 3

[tex] s = kt [/tex]

[tex] 21 = k3 [/tex]

Divide both sides by 3

[tex] \frac{21}{3} = \frac{k3}{3} [/tex]

[tex] 7 = k [/tex]

[tex] k = 7 [/tex]

Plug in k = 3 into [tex] s = kt [/tex]:

[tex] s = 7t [/tex]

Answer:

B

Step-by-step explanation:

Divide 7