When Jaya goes bowling, her scores are normally distributed with a mean of 105 and a standard deviation of 10. Using the empirical rule, determine the interval that would represent the middle 95% of the scores of all the games that Jaya bowls.

Answer:

9

Step-by-step explanation:

Answer:

AC = 15 units

Step-by-step explanation:

Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{AB}{BC}[/tex] = [tex]\frac{AD}{DC}[/tex] , substitute values

[tex]\frac{12}{18}[/tex] = [tex]\frac{6}{x}[/tex] ( cross- multiply )

12x = 108 ( divide both sides by 12 )

x = 9

Then

AC = 6 + 9 = 15 units

Answer:

A

Step-by-step explanation:

To find volume you multiply lwh

Answer:

2400 [tex]$cm^3$[/tex]

Step-by-step explanation:

From the triangle on the left, we can see that height is 15cm and from the triangle on the right, we can see that base is 8cm of the triangle, as both triangles are identical. So the area of the triangle is,

[tex]b = 8 cm\\h = 15cm[/tex]

[tex]A = \frac{1}{2}bh\\= \frac{1}{2}\times8\times15 cm^2\\= 60 cm^2[/tex]

The area of the prism should be the length of the prism times the area of the triangle. So it is [tex]60 cm^2 \times 40 cm = 2400 cm^3[/tex]

Answer:

2/5

Step-by-step explanation:

The rate of change is the slope.  The equation is in slope-intercept form.  So, the slope is 2/5 = rate of change

Answer:

Colin will have $1,265 after three years.

Step-by-step explanation:

First, we find the amount of interest Colin will have by using the following formula,

simple interest = principal * interest rate * time

now that we know the formula, we substitute the numbers in.

simple interest = $1,100 * 5% * 3

since the interest rate is obviously a percentage, we have to convert it into a decimal.

simple interest = $1,100 * 0.05 * 3

now that it is a decimal, we can solve this expression.

simple interest = $1,100 * 0.05 * 3

simple interest = $55 * 3 (here, we did $1,100 * 0.05 first so that it doesn't get confusing with all the numbers, it will be easier with two final numbers)

simple interest = $165

Colin has $165 simple interest but over here asks how much she will have AFTER 3 years. think about it, can you have $165 after having $1,100 in your bank AFTER 3 years? no, so we need to add the interest by the principal by using the following formula,

total amount = principal + simple interest

now, we substitute the numbers in.

total amount = principal + simple interest

total amount = $1,100 + $165

total amount = $1,265  

Therefore, Colin will have $1,265 after 3 years.

Answer:

scalene acute is the answer

Answer:

v =-1/2 hope it may help u

Step-by-step explanation:

v =u+at

v=2 -5/2

v=4-5/2

v=-1/2/2

Answer:

Step-by-step explanation:

Given

u = 2 , a = - 5 t = 1/2

Now

v = u + at

  = 2 + (-5) * 1/2

 = ( 4 - 5) /2

 = - 1/2

Answer:

40 meters squared

Step-by-step explanation:

8 * 5 = 40

Answer:

q=-3 2/5

Step-by-step explanation:

First multiply -13 with (q+4)

-13q-52=7q+16

Now you have to change the order before = the numbers with q and after = the numbers without anything

-13q-7q=52+16

Remember that when you change positions the symbol too

Then solve it

-20q=68

Now u have to divide as i do

q=68/-20

you can simplify it

q=3 8/-20

Now divide by the greater divisor in this case is 4

q=3 2/-5

And organize it

q=-3 2/5

Never forget to do q=(answer)

Hopefully it helps.

Answer:

92

Step-by-step explanation:

Because 92 occurs the most and some of the numbers aren't even there.

Answer:

2/5

Step-by-step explanation:

She completed 8 out of 20 so we divide 8 by 20

8/20 can be simplified if we divide both the numerator and denominator by 4

which equals 2/5

Answer:

2/5

Step-by-step explanation:

8 divided by 20 gives you .4 which is 2/5

Answer:

it is a game

Step-by-step explanation:

Answer:The bases on a baseball diamond are 90 feet apart. how far is it from home plate to second base? - 4961702. ... so for a right triangle, when we've got legs a and b and hytponuse c then a²+b²=c² ... Form a triangle with vertices at home base, first, and second. Home to first ... Get more out of Brainly. See top ...

Step-by-step explanation:

Answer:

x² - x - 6

Step-by-step explanation:

Given

(x + 2)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 2(x - 3) ← distribute parenthesis

= x² - 3x + 2x - 6 ← collect like terms

= x² - x - 6

Answer:    

[tex]x^{2} -x-6[/tex]  

it's quadratic

Answer:

B

Step-by-step explanation:

sorry if i am wrong

Answer:

Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry. When the circle is folded over a line of symmetry, the parts of the circle on each side of the line match up. This means that the parts of the circle on each side of the line must have the same area.

Step-by-step explanation:

Answer:

Median is 5

Mode is 1

Range is 8

Mean is 4.7

Step-by-step explanation:

Answer:

Yes, the answer would be 523.6

Step-by-step explanation:

Formula for Volume of a cone:

V = πr²(h/3)

r = d/2

10/2

r = 5

V = πr²(h/3)

V = π(5²)(20/3)

V = π(25)(20/3)

V = 523.6

Answer:

3.49 inches

Step-by-step explanation:

circumference = 2(2)(π) = 12.56 inches

(100/360)(12.56) = 3.49 inches

Answer:5 days

Step-by-step explanation:

13+3=16

16+3=19

19+3=22

22+3=25

25+3=28

Answer:

There are loads, but for example you can find the diagonal from a lamppost the the end of its shadow if you know the height of the post and the length of the shadow.

Hope I helped x

Answer:

C, 63.00

Step-by-step explanation:

6*50=300

5*40=200, *5=1000

4*50=200, *10=2000

3*40=120, *25=3000

_________________

6300 cents

$63.00

{$63$}

Answer:

I could be wrong, but I think it's x=12

Answer:

Step-by-step explanation:

First let's set this into a proportion:

[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]

Hope this helps

Answer:

D. D₂ (∆XYZ)

Step-by-step explanation:

Dₙ = (x,y) → ((n)x, (n)y)

_________________

X = (-1, 2).

Y = (2, -1).

Z = (-2, -1).

_________

Dₙ ∆XYZ:

X(-1, 2) → X'(-2, 4)

Y(2, -1) → Y'(4, -2)

Z(-2, -1) → Z'(-4, -2)

______________

-2 / -1 = 2, 4 / 2 = 2.

4 / 2 = 2, -2 / -1 = 2.

-4 / -2 = 2, -2 / -1 = 2.

_______________

D₂ = (x,y) → ((2)x, (2)y).

X(-1, 2) → ((2)(-1), (2)(2)) = X'(-2, 4)

Y(2, -1) → ((2)(2), (2)(-1)) = Y'(4, -2)

Z(-2, -1) → ((2)(-2), (2)(-1)) = Z'(-4, -2)

_________________________

Answer:

Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD) ;

0.556

Step-by-step explanation:

Given :

Possible outcome of each policy statement = (A, N, D)

Number of statements = 2

Sample space = 3² = 9

Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD)

Probability that a person agrees with atleast one of the 2 policy statements :

Probability = required outcome / Total possible outcomes

Required outcome = (AA, AN, AD, NA, DA) = 5

HENCE, P(person agrees with atleast one of the 2 policy statements) = 5 /9 = 0.556

I don't understand at all a really need help

Answer:

1/25

Step-by-step explanation:

Given :

Let :

Y = yellow marbles

P = pink marbles

B = blue marbles

Y = 2 ; P = 3 ; B = 5

Note : selection is done with replacement :

Probability = required outcome / Total possible outcomes

Total possible outcomes = (2+3+5) = 10

Probability of drawing 2 yellow marbles :

First Draw : P(yellow) = 2 /10 = 1/5

Second draw: P(yellow) = 2/10 = 1/5

Probability of drawing 2 yellow marbles :

1/5 * 1/5 = 1 /25