Pls help (5th grade)

Answer:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which:

The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:

[tex]x(t) = r\cos{(t)} + x_0[/tex]

[tex]y(t) = r\sin{(t)} + y_0[/tex]

In this question:

[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]

This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:

x = 4cos(t) – 1 and y = 4sin(t) + 3

Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because

8÷2=4

16÷4=4

24÷6=4

32÷8=4

Answer:

a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.

b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.

d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.

e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. The company uses flexible work arrangements or gives time off for volunteerism.

41% use flexible work arrangements.

Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So

[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]

0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.

b. The company uses flexible work arrangements and does not give time off for volunteerism.

41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So

[tex]p = 0.41*0.5 = 0.205[/tex]

0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.

Here, we use conditional probability.

Event A: Does not give time off for volunteerism

Event B: Uses flexible work arrangments.

0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.

This means that [tex]P(A \cap B) = 0.205[/tex]

Probability that the company does not give time off for volunteerism:

0.205(uses flexible work arrangments).

100 - 30 = 70% of 59%. So

[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]

0.3317 = 33.17% probability that the company uses flexible work arrangements.

d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.

Again conditional probability.

Event A: Gives time off for volunteerism

Event B: Does not use flexible work arrangements.

Probability of giving time off for volunteerism:

50% of 41%(have flexible work arrangements).

30% of 59%(don't have flexible work arrangements).

So

[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]

Gives time off for volunteerism and does not use flexible work arrangements.

30% of 59%. So

[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]

0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.

e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.

Does not use flexible work arrangments: 59%

Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.

[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]

0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.

Answer:

(4 + y)(4 - y)

Step-by-step explanation:

[tex]16 - {y}^{2} \\ \\ = {4}^{2} - {y}^{2} \\ \\ = (4 + y)(4 - y)[/tex]

Answer:

19 3782 832 38= 78043

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just did it :)

[tex] - 12 - 3y \geq - 6x \\ - 12 - 3y + 12 \geq - 6x + 12 \\ - 3y \geq - 6x + 12 \\ = \frac{ - 3y}{ - 3} \geq \frac{ - 6x + 12 }{ - 3} \\ y = 2x - 4 [/tex]

Correct me if I'm wrong

I hope it helps ^_^

Answer:

-3

Step-by-step explanation:

Slopes of a perpendicular line are the opposite reciprocal.

So, the opposite of 1/3 is -1/3.

Then the reciprocal of -1/3 is -3 (since -3 is -3/1).

Answer:

the answer is 6x-7

Step-by-step explanation:

3x-4+2-2x-5+5x

3x-7-2x+5x

3x-7-2x+5x=

6x-7

Answer:

(12, -3)

Step-by-step explanation:

Add 4 to x value because it is a horizontal translation right 4.

Answer:

What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.

Answer:

8a + 24b

Step-by-step explanation:

'distributive' is just like sharing across

Answer:

8a + 20b + 4b

Step-by-step explanation:

Distributing it would be 8a+24b so expanding it would equal: 8a+20b+4b

Answer:

area of triangle = 1/2 ×base×height

Answer:

X^7

Step-by-step explanation:

3+4=7

Answer:

V = J = 92

Step-by-step explanation:

The angles are the same on both shapes.

Answer:

20 minutes

Step-by-step explanation:

Method 1:

(0.75)/(0.25)=(1)/(x)

0.75*1.333333=1, so multiply 0.25 by 1.333333 to find the value of x!

0.25*1.333333=0.33333, or one-third of an hour, or 20 minutes.

Method 2:

(0.75)/(0.25)=(1)/(x)

Cross-multiply

0.75x=0.25

(0.25)/(0.75)=x

x=0.33333 hours

Emily will use 20 minutes or 1/3 hour to walk 1 mile.

Note that 3/4 = 0.75

1/4 hour = 1/4 × 60 = 15 minutes

Let the amount of time that it takes Emily to walk 1 mile be represented by x.

Therefore, the equation to solve the question will be:

0.75 /1 = 15/x

Cross multiply

(0.75 × x) = (1 × 15)

0.75x = 15

x = 15/0.75

x = 20

Therefore, Emily will use 20 minutes or 1/3 hour to walk 1 mile.

Read related link on:

https://brainly.com/question/21405634

Step-by-step explanation:

6 customers per hour [tex]=1[tex] customer per 10 minutes

[tex]X \sim \operatorname{Exp}(\beta=10) \quad[/tex] (given mean)

Pdf is given by: [tex]f(x)=\frac{1}{\beta} e^{-x / \beta}, 0<x[/tex]

Pdf: [tex]f(x)=\frac{1}{10} e^{-x / 10}, \quad 0<x,[tex] and zero otherwise.

Cdf: [tex]P(X \leq x)=1-e^{-x / \beta}[/tex]

[tex]P(X \leq x)=1-e^{(-x / 10)} \quad[/tex] for [tex]x>0 \Longrightarrow P(X>x)=e^{-x / 10}[/tex]

a)[tex] \begin{array}{c}

P(X<12)=1-\exp (-12 / \beta)=1-e^{-1.2}=1-0.301194=0.698806 \approx 0.699 \\

P(X<12)=0.699 \end{array}[/tex]

[tex]\begin{aligned}

&\begin{array}{c}

P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\

P(X>20)=0.1353

\end{array}\\[/tex]

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

Answer:

B. 12 in.

Step-by-step explanation:

Diameter = 5 in.

Diagonal = 13 in.

Apply Pythagorean theorem to find the height of the cylinder.

Thus:

13² - 5² = height²

144 = height²

√144 = height

12 in. = height

Answer:

B. 12 in.

Step-by-step explanation:

Answer:

B: y= 3(1/3)^x

Step-by-step explanation:

I graphed it on Desmos

Answer:

0 vault x32 3sqeus 487=8

Step-by-step explanation:

so its 24 of 3 squers

Answer:

36

Step-by-step explanation:

8x3 is 24

6x2 is 12

when you add those together you get 36

Answer:

2 dollars x 6 Peanut butter snacks= 12 total

3 dollars x 8 chocolate= 24 total

24+12= 36 for the total all together

Step-by-step explanation:

You are buying 6 peanut butter snacks and they are $2 each so you multiply those numbers together for the total of Peanut butter snacks. You are also buying 8 things of chocolate and they are $3 each multiply them together you get the total for the chocolate. if you need the total for all together you add the totals together and you have your over all answer.

Answer:

40

Step-by-step explanation:

26 is 65% of 40

Answer:

For this equation you be inverse operation giving you the answer -6

further information down below :)

Step-by-step explanation:

Your goal for this is to isolate the variable which is x.

First, find the operation opposite of addition which is subtraction

When you add that operation to both sides with the constant(2)

2 and 2 cancel each other out, but to the for the term(4) 4-2=2

after that you have your new term which is x/-3=2

You do the same thing but to in division because the opposite of multiplication is division in this case you multiply -3 to both sides -3*-3 cancel each other out, now you have-3*2= negative times a positive equal negative in anyway so, overall you get -6.  

To check:

you do the full equation now that you have isolated the variable, you now can do the operations normally which are. -6/-3=2 because when you divide a negative by a negative you get a positive end out with 2+2=4 which is correct and match the sum.

This means that our answer is correct :)

Answer:

The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

Answer:

if what you're asking if 0 belongs to anyone of the sets then zero belongs to whole numbers.

whole numbers is 0,1,2,3,4 etc

Natural numbers are 1,2,3,4 etc

integers are -3,-2,-1,0,1,2,3 etc

rational numbers are like fractions etc

irrational numbers are when you don't necessarily get a exact or whole numbers for example like π/pie

Answer:

(x - 3)² + (y + 4)² = 49

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + *y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, - 4) and r = 7 , then

(x - 3)² + (y - (- 4) )² = 7² , that is

(x - 3)² + (y + 4)² = 49 ← equation of circle

Answer:

60% of 60 is 36. The answer should be 36

Step-by-step explanation:

60 / 100 * 60

0.6 * 60

36

Just divide the number by 100 and multiply it by the percentage.

Mark me as brainliest if you want to.