A medication is 69 % effective against a bacterial infection. Find the probability that if 8 people take the medication at least 1 person's infection will not improve. Please round the final answer to three decimal places.​

Answer:

85 feet per day = 5.879846 miles per year.

Answer:

5.88 miles

Step-by-step explanation:

85 x 365 =31,025 feet per year

31025/5280 = 5.88 miles

Answer:

S₁₀=620

Step-by-step explanation:

This is an arithmetic sequence with a common difference of d=12

The formula for an arithmetic series is Sₙ=(n/2)(a₁+aₙ) where aₙ is the nth term and a₁ is the first term.

We know that a₁=8 and d=12 where the 10th term would be a₁₀=8+(10-1)12=116.

Therefore, the sum of the first 10 terms of the arithmetic series is S₁₀=(10/2)(8+116)=(5)(124)=620

Answer:

B

Step-by-step explanation:

I think it is B because 6 times 5 = 30. So 30 times 1/2 = 60  hope this is correct and it helped and if it is not correct try C and can i get a brainliest

The surface area for a pyramid that is: Base 8 and height 6

Would be: 42.87

Answer:

x/4 = 14

Bottom right one

Step-by-step explanation:

x/4 = 14

Bottom right one

There were 4 total and each payed 13.

Answer:

A 4x=$13

Step-by-step explanation:

Answer:

Range is [tex]-5 \le y \le 5[/tex]

Range in interval notation is  [-5, 5]

==========================================================

Explanation:

Refer to the diagram below. As marked in red, the smallest y value is y = -5. The largest y value is y = 5. The range is the set of y values between these endpoints, including both endpoints.

We can say the range is [tex]-5 \le y \le 5[/tex]

In interval notation, we write that as [-5, 5]. The use of square brackets tells the reader that the endpoints are included as part of the range.

9514 1404 393

Answer:

Step-by-step explanation:

The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:

  4×12° : 5×12° : 6×12° = 48° : 60° : 72°

Angles 1 to 3 are 48°, 60°, 72°, respectively.

Answer:

([tex]\frac{5}{2}[/tex], 3)

Step-by-step explanation:

I got 5/2 as my x variable and 3 for my y variable to being the midpoint. In which I added both my x variables provided ( 3 and 2 ) and then I divided them by two to get half of that (since you are looking for in between those two digits technically so you are wanting to find the midpoint or the middle of that line segment). I also did the same with the two y variables as well which were 7 and -1, then I divided both by two to get the variable 3.

Answer:

5/2, 3

Step-by-step explanation:

that should be your answer (hopefully)

Answer:

I hope its 15/10

Step-by-step explanation:

please let me know if its wrong

Answer:

-2 is answer

plz plz plz plz mark me brainliest

Step-by-step explanation:

* 3x + 7 =1

or 3x = 1 - 7

or 3x = -6

or x = -6/3

or x = -2

Answer:

D) 13 1/8

Step-by-step explanation:

105/8=13 1/8 cups

Hope this helped! :)

Answer:

100

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

becauseit is just below 30

Answer:

I'm pretty sure it's C.

Step-by-step explanation:

Answer:

7y(3x+2)

you take out the 7y from both sides

Answer:

Step-by-step explanation:

area = [tex]\pi r^{2}[/tex]

so the area of the circle is

[tex]8^{2} \pi[/tex] which equals 64pi

BUT we have the white circles so we need to find their areas and subtract it

THE WHITE CIRCLES:

diameter = 4 so radius = 2

[tex]\pi 2^{2}[/tex] which equals [tex]4\pi[/tex]

which you double since theres TWO white circles so = [tex]8\pi[/tex]

so 64[tex]\pi -8\pi =56\pi[/tex]

[tex]56\pi =175.00[/tex]

Answer:

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Step-by-step explanation:

Let be [tex]P(x,y)[/tex] a point containing the components of a vector, the direction angle for the vector regarding origin ([tex]\theta[/tex]), in sexagesimal degrees, is determined by the following formula:

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (1)

Where:

[tex]x[/tex] - x-coordinate of the point P.

[tex]y[/tex] - y-coordinate of the point P.

Let consider that [tex]P(x,y) = (-7.765, 28.978)[/tex]. After a quick inspection, we note that vector stands in the 2nd Quadrant ([tex]x < 0 , y > 0[/tex]). Then, the direction of the angle with respect to the positive x semiaxis is:

[tex]\theta = \tan ^{-1} \left(\frac{28.978}{-7.765} \right)[/tex]

[tex]\theta \approx 105.001^{\circ}[/tex]

The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.

Angle the given vector makes with the positive x-axis when measured counterclockwise is required.

The direction of the angle for the vector measured counterclockwise from the positive x-axis is 105°. The calculations have been shown below by using the concepts of vector.

The given vector is (-7.765,28.978)

The angle is found by the formula

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

Here,

y = 28.978

x = -7.765

Substituting the given values we get

[tex]\theta=\tan^{-1}\dfrac{28.978}{-7.765}=-74.99=-75^{\circ}[/tex]

So, the required angle is

[tex]180-75=105^{\circ}[/tex]

Learn more about vectors:

https://brainly.com/question/25811261

Answer:

Half of the base multiple by the height

Answer:

[tex]x = 5 \± \sqrt{31}[/tex]

Step-by-step explanation:

Given

[tex]6 = x^2 - 10x[/tex]

Required

The solution in radical form

[tex]6 = x^2 - 10x[/tex]

Rewrite as:

[tex]x^2 - 10x - 6 = 0[/tex]

Using the quadratic formula, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

a = 1

b = -10

c = -6

So, we have:

[tex]x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{100 +24}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{124}}{2}[/tex]

Split the roots

[tex]x = \frac{10 \± \sqrt{4 * 31}}{2}[/tex]

Express [tex]\sqrt 4[/tex] as 2

[tex]x = \frac{10 \± 2\sqrt{31}}{2}[/tex]

Split the fraction

[tex]x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}[/tex]

[tex]x = 5 \± \sqrt{31}[/tex]

Answer:

1.) B

2.) A

3.) B

Step-by-step explanation:

Answer:

8,25

Step-by-step explanation:

Answer:

8.2

Step-by-step explanation:

sin^-1 (8.2/21) is 22.984 which is pretty close to 23

Answer:

12.68

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(3 * 2) + (1 * -6) + (1 * 0)

  6      +     -6    +    0    = 0