MATHHH. Probability section!!! HELP!
please give the right answer.

Answer:

(a)  see below

(b)  see attached

(c)  (15, 180) is not on the line

(d)  a = -40

Step-by-step explanation:

Given equation:

[tex]y = 10x+20[/tex]

Part (a)

To complete the table of values, simply substitute each value of x into the given equation:

[tex]x=-3 \implies y=10(-3)+20=-10[/tex]

[tex]x=-1 \implies y=10(-1)+20=10[/tex]

[tex]x=0 \implies y=10(0)+20=20[/tex]

[tex]x=1 \implies y=10(1)+20=30[/tex]

[tex]x=3 \implies y=10(3)+20=50[/tex]

[tex]\large \begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -3 & -2 & -1 & 0 & 1 & 2 & 3\\\cline{1-8} y & -10 & 0 & 10 & 20 & 30 & 40 & 50\\ \cline{1-8} \end{array}[/tex]

Part (b)

Plot 2 points from the table and draw a straight line through them.

Part (c)

To determine if (15, 180) is on the line, substitute x = 15 into the given equation of the line:

[tex]\begin{aligned} x=15 \implies y & =10(15)+20\\& = 150 + 20\\& = 170\end{aligned}[/tex]

Therefore (15, 180) is not on the line

Part (d)

If (-6, a) is on the line, substitute x = -6 and y = a into the equation and solve for a:

[tex]\begin{aligned} y & = 10x+20\\\implies a & = 10(-6)+20\\a & = -60 + 20\\a & = -40\end{aligned}[/tex]

Therefore, a = -40

Multiply -1/4 by -7/9 ((To do this, multiply the numerator by the numerator and the denominator by the denominator.)

[tex]\bf{\dfrac{-1(-7)}{4\times9)} \ \ \to \ \ \ Multiply }[/tex]

Do the multiplications in the fraction -1(-7) / 4 x 9.

[tex]\bf{\dfrac{7}{36} \ \ \Rightarrow \ \ \ Answer }[/tex]

Answer:

x = -5

Step-by-step explanation:

9x - 7 = -52

we want to single out x,

add 7 to both sides to be one step closer to getting x alone

9x - 7 + 7 = -52 + 7

9x = -45

divided both sides by 9 to get x alone

9x / 9 = -45 / 9

x = -5

Let me know if you need any clarification!

[tex] 9x - 7 = - 52[/tex]

Firstly rearrange the variable on the left side of the equation...

[tex]9x = - 52 + 7[/tex]

Calculate the sum or differences

[tex]9x = - 45[/tex]

[tex]x = - \frac{45}{9} \\ [/tex]

[tex]x = - 5[/tex]

:)

..

Answer:

oranges

Step-by-step explanation:

Answer: The oranges.

Step-by-step explanation: I'll set up my work below.

Mangoes: $[tex]49/7=7[/tex] =$7 per mango

Apples: $[tex]24/4=6[/tex]=$6 per apple

Oranges: $[tex]15/3=5[/tex]=$5 per orange

Given this, the cheapest fruit is the orange.

I hope this helps!! Pls mark brainliest :)

The best estimate to the nearest one percent of the fraction; 7/15 is; 47%.

From the task content, it follows that the fraction given whose estimate is to be determined is; 7/15.

The fraction expressed as a percentage is;

(7/15) × 100 %

= 46.667%.

Hence, when rounded to the nearest one percent; = 47%.

Read more on percentage;

https://brainly.com/question/843074

#SPJ1

Answer:

We can use change of base rule

cos and sec can be found

The requried simplified expression is 1 / cosØ, which is equivalent to secØ. The correct option is secØ.

Let's simplify the given expression and see which of the provided options match:

We are given the expression √(1 + tan²Ø).

Now, recall the trigonometric identity: tan²Ø = sin²Ø / cos²Ø.

Substitute this identity into the expression:

√(1 + sin²Ø / cos²Ø)

Next, find a common denominator for the fraction inside the square root:

√((cos²Ø + sin²Ø) / cos²Ø)

Since cos²Ø + sin²Ø = 1 (as per the Pythagorean trigonometric identity), the expression becomes:

√(1 / cos²Ø)

Now, we can take the square root of 1 and cos²Ø separately:

√1 / √cos²Ø

Simplify:

1 / cosØ

The simplified expression is 1 / cosØ, which is equivalent to secØ.

Therefore, the correct option is: secØ.

Learn more about trigonometry here:

https://brainly.com/question/20885025

#SPJ4

Option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

We have:

Age (years) (x)                                                     15  21   17  22  16  19  18

Number of questions  they could answer(y)    17  17   17  17    17  17  17

As we can see all y values are the same.

n∑y² = 7(2023) = 14161

(∑y)² = 119² = 14161

If we put the value of the above data the value will become undefined.

Thus, option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1

Answer:

1274

it is 1274

Step-by-step explanation:

mark as brainlest for the answer thankyou

The standard equation of user will be y = 625x²+1250x+5000

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A connection or statement involving one or more variables is called a function.

From the graph we can find following equation:

(0,5000) ----------- 5000 = [tex]\frac{1}{4(f-k)}(0-h)^2 +k[/tex]

(2,10000) ---------- 10000 = [tex]\frac{1}{4(f-k)}(2-h)^2 +k[/tex]

(4,20000) --------- 20000 = [tex]\frac{1}{4(f-k)}(4-h)^2 +k[/tex]

Solving the above three equations we will get following values:

h = -1

k = 4375

f = 10937501/2500

Hence the standard equation of user will be y = 625x²+1250x+5000

Learn more about functions here:

https://brainly.com/question/4025726

#SPJ10

Answer:8.8 pounds a day

Step-by-step explanation:

7 days in a week

28/7=4 kg a day

2.2*4=8.8

8.8 pounds

Answer:if we start with 26 letters in the English/Latin alphabet: 26*25*24*23*

and modern Arabic numerals 0–9,

10*9 do the math by multiplying all

Number of dispositions of 4 letters without repetitions of the alphabet (26 letters): 26*25*24*23=358800. 2-digit numbers without repetitions:10*9=90. Number of passwords with 4 letters and 2-digit number without repetitions:

a) if the 2-digit numbers must be in one single position (examples:….XB73DY……..GZ57FE): 358800*90 = 32,292,000.

b) if the 2-digit numbers can be in each of the 5 possible positions (ex.:…73XBDY…X73BDY..XB73DY..XBD73Y..XBDY73…) 5*358800*90=161,460,000.

c) if both digits can be in (C6;2) = 6*5/2= 15 positions (ex.: 7XB3DY…X73BDY…..) 15*358800*90=484,380,000.26*25*24*23*10*9 = 32,292,000

Step-by-step explanation:

Equations are separated by an equal sign. The value of x is given as -6/5

Given the equations below;

5(3x + 4) = 2

Expand

5(3x) + 5(4) = 2

15x +20 = 2

Subtract 2 from both sides

15x = 2 - 20

15x = -18

x = -18/15

x = -6/5

Hence the value of x is given as -6/5

Learn more on equation here: https://brainly.com/question/13763238

#SPJ1

Answer:

A

Step-by-step explanation:

a = 3n-30       solve for 'n'

a + 30 = 3n

n = (a+30)/3

n(a) = (a+30)/3

Answer: c

Step-by-step explanation:

It has been given that the point (3,1) is on the graph.

And in order for the point (3,1) to lie on the graph, of all the given options the closest we can get is when we have Option C

Step-by-step explanation:

im sorry but im not sure about this question

Answer:

334.488 miles

Step-by-step explanation:

You don't have a specific request on what I should answer, if it was distance then here's your answer

Answer: Table 1: Answer = 1. 404

Table 3 Answer = 1.66

Step-by-step explanation: i hope it's right if not, tell me

Answer:

c=6p

Step-by-step explanation:

you multiply

6 dollars per pound by p pounds

pounds cancel out and you are left with dollars

that is the cost

Answer:

A=30

B=35

C=44

Step-by-step explanation:

The steps of student B are in the correct order but the steps of student A are in the incorrect order.

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines and the lines that never intersect are known as parallel lines.

We have:

You are given AB and point C. Construct a line parallel to AB that passes through point C

The correct way to draw a parallel line to AB that passes through point C is:

The steps of student B are in the correct order but the steps of student A are in the incorrect order.

Thus, the steps of student B are in the correct order but the steps of student A are in the incorrect order.

Learn more about the perpendicular and parallel lines here:

brainly.com/question/18271653

#SPJ1

The degrees of freedom in testing for differences between the means of two dependent populations where the variance of the differences is unknown are: df = n - 1

In statistics, degrees of freedom refers to the number of distinct values that can change in an evaluation without exceeding any constraints.

The degree of freedom is crucial and necessary when attempting to comprehend the significance of a test statistic and the validity of the null hypothesis.

In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are: df = n - 1

Learn more about calculating degrees of freedom for dependent variables here:

https://brainly.com/question/14311814

#SPJ12

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. Mike's account balance after 21 years is $69,131.44.

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

The principal amount that Mike invested is $29,000. The rate of interest is 7.24% compounded daily, for 21 years. Therefore, the account balance after 21 years is

[tex]\text{Account Balance after 21 years} = 29,000(1+\dfrac{0.0724}{365})^{(365 \times 21)}[/tex]

                                                     = $69,131.44

Hence, Mike's account balance after 21 years is $69,131.44.

Learn more about Compound Interest:

https://brainly.com/question/25857212

#SPJ1

By definition of linear functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.

Graphically speaking, linear functions represent lines and we see that the line seen in the figure presents two bounds, the points (- 6, 0) and (9, 7). Linear functions are characterized by slope and intercept:

y = m · x + b     (1)

Slope

m = (7 - 0)/[9 - (- 6)]

m = 7/15

Intercept

b = 4

By definition of linear functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.

To learn more on linear functions: https://brainly.com/question/14695009

#SPJ1

If the function is f(x) = √(7x – 21). Then the inverse function of the function will be f⁻¹(x) = (1/7) x² + 3.

Let the function will be

f: X → Y

Then the inverse function will be

f⁻¹: Y → X

The function is given below.

f(x) = √(7x – 21)

Then the inverse function will be

x = √[7{f⁻¹(x)} – 21]

x² = 7f⁻¹(x) – 21

7f⁻¹(x) = x² + 21

f⁻¹(x) = (1/7) x² + 3

Learn more about inverse function here:

https://brainly.com/question/19425567

#SPJ1

Answer:

14.3%

Step-by-step explanation:

5 students got an A out of 35 total students. This means that the probability of students getting an A is 5/35 = 0.1428

Answer:

x = 3

y = -1

z = 2

Step-by-step explanation:

if x+y = 2, and x+y-z = 0, then we can substitute 2 for x+y. this means 2-z=0, meaning z=2.  if y-z=-3, then y-2=-3, and y=-1. x+y=2 which means x-1=2 so x=3. plug in the values to check your answer.

Answer:

x = 37

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

He saves allowance for 5 months     5 months * $6 = 30 dollars

  30 ÷ 3      would be the # of rides he can go on

Step-by-step explanation:

Since we have a right triangle, we use the Pythagorean Theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

or

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

where a and b are the legs and c is the hypotenuse

Remember the legs are the sides that form that right angle, and the hypotenuse is the side opposite of the right angle.

So here the hypotenuse is 8, and one of the legs is 4. So we plug those values into the formula

[tex] 8 = \sqrt{ {b}^{2} + {4}^{2} } [/tex]