A sleep study found that the number of hours each person slept was normally
distributed. The study found that the average person slept 8.2 hours with a
standard deviation of 0.7 hours.
1. What range of hours of sleep are the 99.7% closet to the mean

Answer:

Solution given:

sin y = -4/5

p/h=4/5

p=4

h=5

b=√{5²-4²)=3

cos y = b/h=-3/5

again

cos x=12/13

b/h=12/13

b=12

h=13

p=√(13²-12²)=5

sin x=p/h=5/13

now

sin[x-y]=sinxcosy-cosxsiny

=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.

Answer:

7.6

Step-by-step explanation:

radius is half the diameter so multiply 3.8 times 2.

Answer:

Perimeter = 42 cm

Step-by-step explanation:

XY = 8 cm  because ΔWXZ ≅ ΔYZX

Perimeter = 8 + 14 + 20 = 42 cm

I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.

Or, in a more difficult equation like this...

10x - 60 = 10

10x = 10 +60

10x = 70

x = 7,

where the graph looks like a vertical line with a point on the x axis on 7.

Answer:

y = 12

Step-by-step explanation:

2y - 13 = 11

add

2y = 24

divide

y = 12

2y   -   13   =   11

        + 13    + 13

-----------------------

2y   =  24

/2        /2

-----------------------

y      =  12

Answer:

the answer is 0.71

Step-by-step explanation:

it told me

The probability the next customer will pay with something other than a credit card is 0.71.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Number of customers paid cash = 83

Number of customers used a debit card = 16

Number of customers used a credit card = 41

Total number of customers = 140

The probability that the next customer will pay with something other than a credit card is

P(e) = (Number of customers paid cash + Number of customers used a  debit card) / Total number of customers.

⇒ [tex]P(e)=\frac{83+16}{140}[/tex]

⇒ [tex]P(e)=\frac{99}{140}[/tex]

⇒ [tex]P(e)=0.7071[/tex] ≈ [tex]0.71[/tex]

Hence we can conclude that the probability the next customer will pay with something other than a credit card is 0.71.

Learn more about probability here

https://brainly.com/question/16813543

#SPJ2

Answer:

A.......No, the distance from the restaurant to Ada’s house is  miles, which is greater than the 6-mile maximum radius

Step-by-step explanation:

Using the distance between two points, it is found that the correct option regarding whether Ada’s house lie on or within the circle representing the area that gets free delivery is given by:

a. No, the distance from the restaurant to Ada’s house is [tex]\sqrt{41}[/tex] miles, which is greater than the 6-mile maximum radius.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, we want to find the distance between the restaurant at the origin (0,0) and Ada's house at point (-4,5), hence:

[tex]d = \sqrt{(5 - 0)^2 + (-4 - 0)^2} = \sqrt{41} > 6[/tex]

Greater than 6 miles, hence option a is correct.

More can be learned about the distance between two points at https://brainly.com/question/18345417

Answer:

(x-5)(x+9) = 0

Step-by-step explanation:

In the equation above, if you plugged in the values given(5, and -9) then you will see that the answer i s0. You basically takes the zeroes you are given, and invert their signs to form the equation.

Answer:

1. 314.16, 2. 452.39, 3. 351.86

Step-by-step explanation:

Trust me I got you

Answer:

45 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 + 4 x = 6

Plot:

Plot

Alternate forms:

4 x = 3

4 x - 3 = 0

Number line:

Number line

Solution:

x = 3/4

Answer:

-1/2

Step-by-step explanation:

The rise is -1 and the run is 2, the slope is rise over run

I hope this helps :)

Answer:

7/2

Step-by-step explanation:

y2-y1/x2-x1

(6-(-1)/8-6) = 7/2

Answer:

area of triangle=1/2×base×height

area of triangle=1/2×24×7

area of triangle=84unit²

Let's say the price of an item is $1

Scenario #1 - 40% off $1  = 40 cents OFF

The discounted price = 60 cents

Now the 10% off of 60 cents

60-6 = 54 cents.

Scenario #2 - 10% of $1

The discounted price = 10 cents

100(cents) - 10 = 90 cents

Now the 40% off of 90 cents

90-36 = 54 cents

Let's try another value to confirm

Let's say the price of an item is $2

Scenario #1  - 40% off $2 = 80 cents OFF

200-80= 120 = $1.20

Now the 10% off of $1.20

120-12= 108 = $1.08

Scenario #2 - 10% off $2 = 20 cents OFF

200-20 = 180= 1.80

Now the 40% off of $1.80

180-72 = 108 = 1.08

With these two examples we can confirm either order

will give you the same savings.

Answer:

B. They are both the same

Step-by-step explanation:

Took the quiz

Answer:

Step-by-step explanation:

it's rotated by 90° about the origin , in a clock wise direction

Answer:

43+25=68

Step-by-step explanation:

Answer: 34 books

Step-by-step explanation:

Since Erik read a total of 4 books over 2 months. This means that every month, he read (4/2) = 2 books.

After belonging to the book club for 17 months, the number of books that he'll have read will be the number of books he read per month multiplied by 17 months. This will be:

= 2 × 17

= 34 books

Answer:

6168.02

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value - 5000

R = interest rate = 0.03

N = number of years = 7

m = Number of compounding = 52

5000 x ( 1.000577)^52 x 7 = 6168.02

Answer:

[tex]y=-\frac{3}{4}x-3[/tex]

Step-by-step explanation:

The slope will be the same as the one in the given equation since they are parallel, you can substitute the x and y of the given point into the given equation, replacing the 1 with m to get m in the equation.

I hope this helps :)

Answer:

second answer

Step-by-step explanation:

yards is commonly used for large sparse area measurements

Answer: see work

Step-by-step explanation:

Total area is 24x22=528

one circle area is (pi)3^2=9(pi)

that times 4 because of 4 circles =36(pi)

so the total are minus the circles now

in terms of pi the answer is 528-36(pi)

if pi = 3.14 the answer in 414.96

Answer:

C = 43.98 inches; A = 153.94 square inches

Step-by-step explanation:

2*pi*(7)=43.98

pi*(7)^2=153.94

Answer:

f(x) = 3/5x + 1

Step-by-step explanation:

Change in y

Change in x

4 - 1

5 - 0

3

5

Answer:

y-x=15 and 25+2x=y

Step-by-step explanation:

Answer:

6 3/4 cups.

Step-by-step explanation:

Multiply 3/4 by 9.

Hope this helps!