A photographer bought 35 rolls for $136.44 what was the price of one roll

Answer:

The probability tree is;

                            0.95        [tex](+)[/tex]

                   [tex](S)[/tex]

          0.1              0.05        [tex](-)[/tex]

[  P  ]

          0.9             0.15          [tex](+)[/tex]                                                        

                  [tex](S_{no})[/tex]    

                             0.85         [tex](-)[/tex]        

Step-by-step explanation:

Given the data in the question;

10% of the rugby team members use steroids

so Probability of using steroid; P( use steroid ) = 10% = 0.10

Probability of not using steroid; P( no steroid use ) = 1 - 0.10 = 0.90

Since the test show positive for an athlete who uses steroids, 95% of the time.

Probability of using steroids and testing positive = 95% = 0.95

Probability of using steroids and testing Negative = 1 - 0.95 = 0.05

Also from the test, 15% of all steroid-free individuals also test positive.

so

Probability of not using steroids and testing positive = 15% = 0.15

Probability of not using steroids and testing negative = 1 - 0.15 = 0.85

To set up the probability tree, Let;

[tex](S)[/tex] represent steroid use

[tex](S_{no})[/tex] represent no steroid use

[tex](+)[/tex] represent test positive

[tex](-)[/tex] represent test negative

so we have;

                            0.95        [tex](+)[/tex]

                   [tex](S)[/tex]

          0.1              0.05        [tex](-)[/tex]

[  P  ]

          0.9             0.15          [tex](+)[/tex]                                                        

                  [tex](S_{no})[/tex]    

                             0.85         [tex](-)[/tex]        

Step-by-step explanation:

The prime 43 appears in the sixth twin-prime pair 41, 43. As a sum of four or fewer squares: 43 = 32 + 32 + 52 = 12 + 12 + 42 + 52 = 32 + 32 + 32 + 42. ... As a difference of two squares: 43 = 222 − 212.

Step-by-step explanation:

a.

mean = 266

sd = 14

cumulative probability = 0.01 so the standard score = -2.33 and 2.33 to the right and left

we find X-upper and X-lower

X-lower = 266-2.33*14 = 233.38

X-upper = 266+2.33*14 = 298.62

Between 233.38 and 298.62

we have sample size = 35

X-lower = 266-2.33*14/√35 = 260.49

X-upper = 266+2.33*14/√35 = 271.5

Between 260.49 and 271.5

b. cumulative probaility = 0.25

standard score = 1.96 to the right and left

x-lower = 6.9-1.96x0.9 = 5.14

x-upper = 6.9+1.96x0.9 = 8.66

Between 5.14 and 8.66

if sample size = 45

x-lower = 6.9-1.96*0.9/√45 = 6.64

x-upper = 6.9+1.96*0.9/√45 = 7.2

Between 6.64 and 7.2

c. standard scores would have cut off value at 0.67 and -0,67

x-lower = 265.3-0.67x15.2 = 255.12

x-upper = 265.3+0.67x15.2 = 275.48

Between 255.12 and 275.48

d. we will have critical values at 1.00 and -1.00

X-lower = 265-1x16 = 249

x-upper = 265+1x16 = 281

Between 249 and 281

with sample size = 44

x-lower = 265-1x16/√44 = 262.59

x-upper = 265+1x16/√44 = 267.41

Between 262.59 and 267.41

9514 1404 393

Answer:

  B.  67

Step-by-step explanation:

Miles are proportional to time at some speed. The constant of proportionality is the speed, 67 (miles per hour).

Answer:

-3

Step-by-step explanation:

Slope is y2 - y1 / x1 - x2.

So, let's take two random points; I have chosen (0, 3) and (2, -3).

Excellent. Let's calculate the slope.

Slope = (-3 - 3) / (2 - 0) = -6 / 2 = -3.

Hope this helps!

Answer:

7.6

Step-by-step explanation:

Mean = (sum of numbers)/amount of numbers

11 + 4 + 6 + 7 + 5 +10 +9 + 21 + 3 + 0 = 76

76/10 = 7.6

Answer:

The standard deviation of your weight over a day is of 1.1547 pounds.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b, and the standard deviation is:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

Assume that the changes in water weight is uniformly distributed between minus two and plus two pounds in a day.

This means that [tex]a = -2, b = 2[/tex]

What is the standard deviation of your weight over a day?

[tex]S = \sqrt{\frac{(2 - (-2))^2}{12}} = \sqrt{\frac{4^2}{12}} = \sqrt{\frac{16}{12}} = 1.1547[/tex]

The standard deviation of your weight over a day is of 1.1547 pounds.

Answer:

12

Step-by-step explanation:

because 16 + -4 is like 16-4 which is 12

9514 1404 393

Answer:

Step-by-step explanation:

If n represents the number, we have ...

  10(-270 +n) = -20 . . . an equation for n

__

The solution can be found as ...

  -270 +n = -2 . . . . . divide by 10

  n = 268 . . . . . . . add 270

The number is 268.

Answer:

216 m²

Step-by-step explanation:

Surface area of a cube = 6a², when a = length of one side

so,

6a²

= 6×6²

= 6×36

= 216 m²

Answered by GAUTHMATH

Answer:

216 m²

Step-by-step explanation:

Answer:

1. a. 1

2. a. N(10 , 1. 0050)

Step-by-step explanation:

The average time for the people waiting for the bus will be no longer than 15 minutes. There are 33 people who were observed and their waiting time did not exceed 15 minutes. The probability is therefore 1 for the wait time.

From the graph, we can write that

The equatuon of line passes through (0,4) and

(-8,0) points.

So

[tex] \sf \: slope \: \: m = \frac{4 - 0}{0 - ( - 8)} = \frac{4}{8} = \frac{1}{2} \\ \therefore \green{\sf \: m = \frac{1}{2} }[/tex]

Intercept of Y-axis c = 4

So equation is :

[tex] \bf \: y = mx + c \\ \bf = > y = \frac{1}{2} x + 4 \\ \bf = > 2y = x + 4 \\ \bf= > \orange{ \boxed{ \bf \: x - 2y + 4 = 0}}[/tex]

Answer:

Pretty sure it's A

Step-by-step explanation:

The x outside the parenthesis means that there's an x intercept at (0,0) and (x-3) means there's another one at (3,0)

Answer:

y=2x+1

Step-by-step explanation:

y is directly proportional to x if it increases as x increases

Answer:

the answer would be (7,5)

9514 1404 393

Answer:

  c.  about the origin

Step-by-step explanation:

The function is odd: replacing x with -x gives the negative of the function value:

  f(-x) = -f(x)

Odd functions are symmetrical about the origin.

Answer:

v-(-5)<-9

v- remove brackets -5

v- -5= -4 +5 ( opposite operation)

v- = -4

v< -4

9514 1404 393

Answer:

  A

Step-by-step explanation:

The parallelogram has rotational symmetry of degree 2. It looks the same after rotation by 180°.

_____

Additional comment

When a figure only looks like itself after a full rotation of 360°, it is said to have rotational symmetry of degree 1. All of the figures here will return to their original appearance after one 360° rotation. So, we assume the intent of the question is to identify figures with a rotational symmetry of degree greater than 1.

Answer:

soory i dont know just report me if you angry

Step-by-step explanation:

The answer to 5.04 × 10 eqauls 50.4 , but there are no answers choices that have exactly 50.4 , so the answer is none of these . I hope this helps you :)

Answer:

5<x<29

Step-by-step explanation:

One theorem tells us that if a triangle has two congruent sides and one of the included angle is bigger than the other, the triangle with the included angle that is bigger. has a bigger side than the other.

This is the opposite in this case. The triangles share two sides and we know that the triangle with the side length 18 has a bigger angle than the triangle with the side length 15. So this means that

[tex]48 > 2x - 10[/tex]

Let find the range of x values.

An angle cannot be negative or zero so this means that

[tex]2x - 10 > 0[/tex]

Solve for x.

[tex]2x > 10[/tex]

[tex]x > 5[/tex]

The angle cannot be bigger than 48 so

[tex]48 > 2x - 10[/tex]

Solve for x.

[tex]58 > 2x[/tex]

[tex]29 > x[/tex]

So x must be greater than 5 but less than 29.

Step-by-step explanation:

Ratio of height (large to small) = ratio of radii (large to small).

(h / 14) = (8 / 2)

h / 14 = 4

h = 56

The height of the larger cylinder is 56m.

Volume of cylinder is

V = πr2h

V = π(8)2(56)

V = 3584π

Answer:

x = -8, 1

Step-by-step explanation:

Hi there!

[tex]x^2+7x=8[/tex]

Move 8 to the other side:

[tex]x^2+7x-8=8-8\\x^2+7x-8=0[/tex]

Now, we can ask ourselves: what two factors of -8 add to 7? Those two numbers would be 8 and -1. Knowing this, factor:

[tex](x+8)(x-1)=0[/tex]

Because of the zero product property (that states that if the product of two numbers is 0, then one of the numbers must be equal to 0), we can find the solutions to the quadratic by setting each term equal to 0:

[tex]x+8=0\\x=-8[/tex]    

[tex]x-1=0\\x=1[/tex]

Therefore, the solutions of the quadratic are -8 and 1.

I hope this helps!

Answer:

356 streams

Step-by-step explanation:

From the graph, you will see that the line cross the x-axis at x = 8.8

Substitute into the expression y = 40x + 4

y = 40(8.8)+4

y = 352 + 4

y = 356

Hence the distributor charges will be paid for after 356 streams

Answer:

y=4x+3

Step-by-step explanation:

The slope of the line is (13-7)/(2-1)=4. The line equation is hence y=4x+3

Answer:

see below

Step-by-step explanation:

7.  We can use the law of sines to solve

sin C         sin B

-------- = ----------

AB              AC

sin 45       sin 32

--------- = ----------

AB            6

Using cross products

6 sin 45 = AB sin 32

6 sin 45 / sin 32 = AB

8.00620 = AB

To the nearest tenth

8.0= AB

9.    We can use the law of sines to solve

sin A         sin B

-------- = ----------

CB              AC

sin A       sin 88

-------- = -----------

13             15

Using cross products

15 sin A = 13 sin 88

sin A = 13/15 sin 88

Taking the inverse sin of each side

sin^-1(sin A) = sin ^-1 (13/15 sin88)

A = 60.01298726

To the nearest tenth

A =60.0

Answer:

12% percent of fish in own

The % of people surveyed own fish is 12%.

To find the % of people surveyed own fish.

Relative frequency refers to the percentage or proportion of times that a given value occurs within a set of numbers, such as in the data recorded for a variable in a survey data set.

Given that:

In a survey conducted at a pet store, 150 customers were asked if they owned birds or fish.

By the data on the table:

Total (own fish) = 0.04 + 0.08 = 0.12

So, own fish = 0.12

=12/100= 12%

So, 12% of the people surveyed own fish.

Learn more about relative frequency here:

https://brainly.com/question/24263545

#SPJ2

Answer:

Step-by-step explanation:

Use the point-slope equation:

The line is: