Which problem situation corresponds to
the equation 2.85 = 1.35 + 0.75x?

Answer:

1,524

Step-by-step explanation:

2,000 x 2%= 40

6,999 x 5%=349.95

20,999 x 5.4% = 1,133.95

40+349.95+1133.95=1,523.90

Answer:

They should sample the results of 1990 patient results.

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].

The margin of error is of:

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

A reproductive clinic had a success rate of 25% of patients with live births in 2008.

This means that [tex]\pi = 0.25[/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].

If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval?

They should sample n patients.

n is found for [tex]M = 0.025[/tex]. So

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

[tex]0.025 = 2.575\sqrt{\frac{0.25*0.75}{n}}[/tex]

[tex]0.025\sqrt{n} = 2.575\sqrt{0.25*0.75}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.025}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575\sqrt{0.25*0.75}}{0.025})^2[/tex]

[tex]n = 1989.2[/tex]

Rounding up:

They should sample the results of 1990 patient results.

Answer:

1/2 seconds

Step-by-step explanation:

h(t) = 65 + 10t - 5t^2

h(t) = -5t^2 + 10t + 65

the max height is reached at the vertex.

the value of t at the vertex is:

t = -b/(2a)

t = -10/(2(-10))

t = -10/(-20)

t = 10/(20)

t = 1/2 seconds

Answer:

D

Step-by-step explanation:

f(x-3) = (x-3)^2 - 8

f(x-3) = (x-3)(x-3) - 8

f(x-3) = x^2 - 6x + 9 - 8

f(x-3) = x^2 - 6x + 1

Answer:

A

Step-by-step explanation:

Given:

The function is:

[tex]f(x)=6x[/tex]

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

[tex]f(x)=6x[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=6x[/tex]

Step 2: Interchange x and y.

[tex]x=6y[/tex]

Step 3: Isolate variable y.

[tex]\dfrac{x}{6}=y[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]\dfrac{x}{6}=f^{-1}(x)[/tex]

Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{x}{6}[/tex] and the graphs of these functions are shown below.

Note: The inverse function is [tex]g(x)=f^{-1}(x)[/tex].

Answer:

2x+14=34

Step-by-step explanation:

Subtract 14 from both sides

2x=20

Divide by 2 on both sides

Hope this helps :)

1) true

2)false

Step-by-step explanation:

1) 5(3)+2(4) = 23

= 15+8=23

23=23

thus, (3,4) is solution for 5x + 2y = 23

2) 5(0)+2(4) =23

= 0+8 is not 23

thus, (0,4) is not solution for 5x + 2y = 23

Answer:

Wallet #1 = $500 and Wallet #2 = $200

Step-by-step explanation:

I dont know if that was the answer you were looking for?

sorry if its not... :(

Answer:

8 liters

4x2=8

Step-by-step explanation:

Answer:

a trapizoid has 2 obtuse angles

Step-by-step explanation:

Answer:

9± √3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

Each cheeseburger was $5.25.

Step-by-step explanation:

He purchased:

A taco for $2.75.

Four cheeseburgers, each for x.

In total, he spent $23.75.

How much was each cheeseburger​?

This is the value of x. We have that:

[tex]2.75 + 4x = 23.75[/tex]

[tex]4x = 21[/tex]

[tex]x = \frac{21}{4}[/tex]

[tex]x = 5.25[/tex]

Each cheeseburger was $5.25.

Answer:

A. 2, because -2=2 2+-2=0 if that makes sense

Answer:

y=-1/6x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/6(x-(-6))

y+2=-1/6(x+6)

y=-1/6x-6/6-2

y=-1/6x-1-2

y=-1/6x-3

Answer:

您同性恋

Step-by-step explanation:

Answer: А, Б, Е

Step-by-step explanation: Had to type this in russian because brainly wont let me say the answer

Answer:

E. 9/20

Step-by-step explanation:

0.45=45/100=9/20

Answer:

E. 9/20

Step-by-step explanation:

0.45= 45/100

45/100 divided by 5 is 9/20

smallest share is $600

Answer:

B, slope is negative

Step-by-step explanation:

if the line, starting from left, goes down then the slope is negative

Answer:

4.5 sq. units

Step-by-step explanation:

area = -⅓x³+3/2 x² ] 0 to 3

= -⅓(3)³+ 3/2 (3)² -0

= -9 + 27/2

= -9 + 13.5

= 4.5 sq. units

Answer:

lol

Step-by-step explanation:

can i have brainlyest pls?

Answer:

4000 Milliliters......

9514 1404 393

Answer:

  (c)  ∠BFD

Step-by-step explanation:

Angle DFE is created from rays FD and FE. An adjacent angle will have one of those rays as one of its sides. Of the offered choices, only ∠BFD includes one of those two rays as one of its sides.

Answer:

3-5(-3)

3 minus -15

-12

Step-by-step explanation:

Step-by-step explanation:

play started 16:30

its 115 min long = 1:55 hours

16:30+ 1:55=18:25 hours

now he takes 30 min to reach bus stop

18:25 + 30 mins = 18:55

therefore, he reaches the bus stop 10 mins late