When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.

Answer:

E

Step-by-step explanation:

Cos=Adjacent/hypotenuse

Cos30=rad3/2

The cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

There are six major trigonometric functions as -

We can write the relation between them as -

Also the following trigonometry relations hold true -

sin²Ф + cos²Ф = 1

1 + tan²Ф = sec²Ф

1 + cot²Ф = cosec²Ф

Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.

We can write the cosine function as -

cosФ = Base/Hypotenuse

cos(30) = √3/2

So, we can conclude that the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2

Therefore, the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

To solve more questions on trigonometric functions, visit the link below-

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Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

Answer:

jdkkdksmsmsmsksksksksksmaMmamMamnz

Step-by-step explanation:

nnznznznznxnxnxnsnskakakakakakzznnznanananaan

Answer:

50 m^2

Step-by-step explanation:

3cm = 5 m

6 cm = 10 m

5 x 10 = 50 m^2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

50 [tex]m^{2}[/tex]

Step-by-step explanation:

3cm = 5m

6cm = 10m

5x10 = 50

Answer: This does not represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen.

Answer:

the answer is D. This does no represent an SRS because each group of patients chosen does not have an equally likely chance of being chosen

Step-by-step explanation:

Answer:its D 8 -4 = 4

Step-by-step explanation:

Step-by-step explanation:

I think the choose 3 (g , h ,f )

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

Answer:

#1:

cos a = opp/hyp = cb/ca

tan a = opp/ajd = cb/ab

sin c = adj/hyp = ab/ca

cos c = opp/hyp = ab/ca

tan c = opp/adj = ab/cb

2: *i dont have the square root symbol*

sin 60 = 3/2

cos 60 = x/2

tan 60 = 3/x

sin 30 = x/2

cos 30 = 3/2

tan 30 = x/3

3: *i dont have the square root symbol*

sin 45 = 2/x

cos 45 = x/2

tan 45 or 48 = x/y

Answer:

4,800 loaves.

Step-by-step explanation:

Solve by utilizing ratios and cross-multiplication.

Answer:

5100

Step-by-step explanation:

the geometric sequence is

f(n) = 20(2)^(n-1)

add up the first 8 to get

Answer:

x=15°

Step-by-step explanation:

We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.

(7x-10)+(6x-5)=180

7x-10+6x-5=180

13x-15=180

13x=195

x=15

Answer:

A

Step-by-step explanation:

A because when you find the product you need to add

Answer:

0.35 Not sure

Step-by-step explanation:

Answer:

3/4 and 5/8

Step-by-step explanation:

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

Answer:

n = 34

Step-by-step explanation:

2{(24- ( 3 + 4)) =n

2{(24 - 7) =n

2 x 17 = n

34 = n

swap the sides

n = 34

Answer:

Step-by-step explanation:

Answer:1630.9 cm

v=4/3πr^3

radius =9.2

Plug in

4/3π(9.2)^3

3261.76066-

Volumenof hemisphere Half of volume of spehere

3261.76066698/2

=1630.9 cm^3

Answer:

c^2=a^2+b^2

c is hypothesis b is abase h is a

15^2=x^2 +12^2

225-144 =x^2

81=x^2

x=9

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Answer:

Step-by-step explanation:

13.

 P= 19.42mm

  A= 18.32mm²

Answer:

Half of 6 is 3(new radius)

2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42

2 + 2 + 2 = 6

6 - 2 = 4

Add lengths:

9.42 + 6 + 4 = 19.42 mm is your perimeter

2 x 2 = 4

3^3 = 9

9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13

Add areas:

4 + 14.13 = 18.13 mm2 is your area

Answer:

A

Step-by-step explanation:

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Step-by-step explanation:

let's make T= the number if trees...

If we're placing one tree every 12 feet for two miles, then:

T×(space between trees) = (number of miles)×(1mi.)

T×12ft. = 2×1mi. = 2×5280ft.

Dividing by 12ft. to isolate T gives us:

T=(2×5280)/12 = 880

So that'll be 880 trees for 2 miles of street.

The number of trees that they plant on 2 miles of streets will be 880 trees.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 12 feet apart.

Then the number of trees that they plant on 2 miles of streets will be  

We know the conversion of miles into feet.

  1 mile = 5280 feet

2 miles = 10560 feet

Then the number of trees will be

Number of trees = 10560 / 12

Number of trees = 880

More about the division link is given below.

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Answer:

-6

Step-by-step explanation:

- 28 – 6b= 8

step 1 add 28 to each side

-28 + 28 cancels out

28 + 8 = 36

we now have -6b = 36

step 2 divide each side by -6

-6b / -6 = b

36 / -6 = -6

we're left with b = -6

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]b=-6[/tex]  

»»————-　★　————-««  

Here’s why:  

We will have to preform inverse operations to solve for 'b'.

[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

y^6  or  y^13/y^7

Step-by-step explanation:

Answer:

9 /4 which equals 2 and 1/4

Step-by-step explanation:

plugged into the calculator!