11
Solve for A, B, and C:
3
a
<
26°
b
C

Answer:

full length = 25 in.

Step-by-step explanation: .

20% is 1/5 of 100% so in order to find 100% of the length, multiply 5in (20%) by 5 to get to the 100% which will give you 25in.

Answer:

81.74% probability that the sum of the 95 wait times you observed is between 670 and 796

Step-by-step explanation:

To solve this question, the uniform probability distribution and the normal probability distribution must be understood.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The distribution has two bounds, a and b.

Its mean is given by:

[tex]M = \frac{b - a}{2}[/tex]

Its standard deviation is given by:

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

Normal distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of the uniform distribution can be approximated to the normal with [tex]\mu = nM[/tex], [tex]\sigma = S\sqrt{n}[/tex]

Uniformly distributed over the interval [0,15].

This means that:

[tex]M = \frac{15 - 0}{2} = 7.5[/tex]

[tex]S = \sqrt{\frac{(15-0)^2}{12}} = 4.33[/tex]

95 trains

[tex]n = 95[/tex], so:

[tex]\mu = 95M = 95*7.5 = 712.5[/tex]

[tex]\sigma = S\sqrt{n} = 4.33\sqrt{95} = 42.2[/tex]

What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796?

This is the pvalue of Z when X = 796 subtracted by the pvalue of Z when X = 670. So

X = 796

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{796 - 712.5}{42.2}[/tex]

[tex]Z = 1.98[/tex]

[tex]Z = 1.98[/tex] has a pvalue of 0.9761

X = 670

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{670 - 712.5}{42.2}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.9761 - 0.1587 = 0.8174

81.74% probability that the sum of the 95 wait times you observed is between 670 and 796

Answer: 4 units

Step-by-step explanation: IT cant be 2x2 or else it would be a square

so it would have to be that the width is 1 unit and the lenght is 4 units.

Answer:

4p^3-3 jejeieooejejenjekeoeoeo

The price of orange last week was $3.75

An equation is used to show the relationship between two or more numbers and variables.

The price of oranges increases by 20% each week.

The price of oranges this week is $4.50. Hence:

Price of orange last week (x) is given by:

4.5 = x + 20% of x

4.5 = x + 0.2x

1.2x = 4.5

x = 3.75

The price of orange last week was $3.75

Find out more on equation at: https://brainly.com/question/24868934

Answer:

3 X 1/2

Step-by-step explanation:

I started by eliminating C and B because of adding and subtraction in the problem.

Answer:

3 x 1/2

Step-by-step explanation:

there are 3 groups of 1/2

Answer:

Step-by-step explanation:

c^2 = a^2 - b^2

13^2 - 5^2 = -12

Answer:

Step-by-step explanation:

Answer: J

Step-by-step explanation:

J is the expression we would use to find "nine divided by five"

Whatever is inside the little box-looking thing (not sure how to describe it) is being divided by the number on the outside of the box-looking thing.

Answer:

a. The scale factor from Drawing 1 to Drawing 2 is 40%

b. The length of the bottom side of Drawing 2 is 7.8 cm

Step-by-step explanation:

5.2 / 13 = 26 / 65 = 2 / 5 = 4 / 10 = 0.4 = 40%

19.5 / 2.5 = 39 / 5 = 78 / 10 = 7.8

9514 1404 393

Answer:

  64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

Step-by-step explanation:

The row of Pascal's triangle we need for a 6th power expansion is ...

  1, 6, 15, 20, 15, 6, 1

These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.

Your expansion is ...

  1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...

     15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6

  = 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729

Answer:

x = 1

Step-by-step explanation:

Mark as brainllest

Answer:

131

Step-by-step explanation:TRUST ME IT IS RIGHT

Answer:

2

Step-by-step explanation:

Answer:

(-2, - 11)

Step-by-step explanation:

Coordinate of preimage = (4, - 3)

Pre image is translated <-6,-8>

X - coordinate of preimage = 4

Translation, x coordinate + (-6)

Y - coordinate of preimage = - 3

Translation, x coordinate + (-8)

Image will be located at (4+(-6) ; - 3+(-8))

Hence, we have (-2, - 11)

Answer:

The one all the way to the right

Step-by-step explanation:

30 ÷ X = 6

30 ÷ 5 = 6

Answer:

0.95

Step-by-step explanation:

tan35° = x/2

solve for x

x = 2tan35°

x = 0.947629

round to nearest hundredth

x = 0.95

Using the combination formula, it is found that these two positions can be filled in 780 ways.

The order in which the positions are filled is not important, for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, two people are taken from a set of 40, hence the number of ways is given by:

[tex]C_{40,2} = \frac{40!}{2!38!} = 780[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

#SPJ1

Answer:

104 in²

Step-by-step explanation:

look at the picture above... by splitting the figure, we get two rectangles.

a1= 5×4 = 20in²

a2= 12×7= 84 in²

total area = a1+a2 = 20+84=104in²

[tex]x ^{3} - 3x - 2 [/tex]

x³-2x²+2x²-3x-2

x²(x-2)+2x²-4x+1x-2

x²(x-2)+2x(x-2)+1(x-2)

(x-2)(x²+2x+1)

(x-2)(x+1)(x+1)is a required answer.

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

5x - 24 = 3 * 2

5x - 24 = 6

5x = 30

x = 6

Answer:

Solution given:

AC= 5x - 24, AO= 3.

now

since diagonal bisect each other So,

AC=2 AO

5x-24=2(3)

5x=6+24

x=30/5

x=6

9514 1404 393

Answer:

  153.6 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh . . . . . . where B is the area of the base, and h is the height

The area of the triangular base is given by the formula ...

  A = 1/2bh . . . . where b and h are the base and height of the triangle

For a right triangle, the lengths of the legs can be used for the base and height.

The base area is ...

  A = (1/2)(6 mm)(8 mm) = 24 mm²

Then the volume is ...

  V = (24 mm²)(6.4 mm) = 153.6 mm³

Answer:

346.50

Step-by-step explanation:

550 discounted by 30% is 385.00.

385.00 discounted by 10% is 346.50

i cant see your photo

Step-by-step explanation:

Answer: 5/27

Step-by-step explanation:

1/9 + 2/27 = ?

1. Find the LCD (Least Common Denominator )

LCD: 27

2.Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD.

(1/9 x 3/3) + (2/27 + 1/1) =

3. Solve

3/ 27   + 2/27  =5/27

Hence, the answer is 5/27

Answer:

x=35

y=72.5

Step-by-step explanation:

Answer:

x=35 , y=72.5

Step-by-step explanation:

I'm not amazing at explaining but x is obviously 35 as its across from it and looks like it's the same angle, we'll be able to test this when we figure out y. Both of the y values are the same number so you just need to figure out

2y + 35 = 180

Minus 35 from both sides

2y = 145

Then we can divide 2 from both sides

y = 72.5

Then we test for x

2y + x = 180

Plug in y

145 + x = 180

Minus 145 from both sides

x= 35

There's your answer! I hope I cleared up any confusion

Answer:

There are 180 degrees in the 3 angles of a triangle.

Step-by-step explanation: