Use the following image to determine the measure of arc GH.

Answer:

a) 0.3 = 30% probability of drawing a white chip.

b) 0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. P(W), the probability of drawing a white chip.

1/3(one white out of 3) of 0.3(from B1).

1/2(two white out of 4) of 0.2(from B2).

1/5(one white out of 5) of 0.5(from B3). So

[tex]P(W) = 0.3333*0.3 + 0.5*0.2 + 0.2*0.5 = 0.3[/tex]

0.3 = 30% probability of drawing a white chip.

b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.

The probability of drawing a white chip from B1 is 1/3 out of 0.3, so:

[tex]P(B1 \cap W) = 0.3\frac{1}{3} = 0.1[/tex]

Then the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.3} = 0.3333[/tex]

0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.

The answer is C: (-1, -8)

Answer:

x = 2

Step-by-step explanation:

Problem: 3x^2 = 12

Divide both sides by 3 to isolate x: x^2 = 4

Take the square root of both sides of the equation: x = 2

Answer: x = 2

Answer:

45 percent

Step-by-step explanation:

Answer:

C(x) = 15 + 12 * x

Step-by-step explanation:

Cost = monthly fee plus cost per hour * hours

C(x) = 15 + 12 * x

Answer:

B

Step-by-step explanation:

26 divides by 2 = 13

13+2=14

Yes I can help you. what do you want the help for?

Answer:

AOB = 65 degree angle

DOE = 35 degree angle

AOC = 90 degree angle

EOB = 115 degree angle

DOB = 80 degree angle

Step-by-step explanation:

Use the protractor to measure. Each dash around the edge is equal to 5 degrees.

Answer:

here

Step-by-step explanation:

C and D is the answer

Answer:

The range is 5.

Step-by-step explanation:

You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9

Answer:

The graph of function g is the graph of function f shifted 6 units up

Step-by-step explanation:

If you plug in the values, [tex]g(x) = 2^{x} + 6[/tex]. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.

Answer:

sheet needed=45

Step-by-step explanation:

1 sheet=120 words

x sheet=5400 words

x sheet=5400/120

x sheet =45

[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]

Answer:

86 boxes

Step-by-step explanation:

trust me its right

Answer:

it is 50%

Step-by-step explanation:

>:( im doing ixl and im in paine but here is the answer ok

Answer:

89

Step-by-step explanation:

341 ( total of previous 4 tests)   + 89= 430  

Divide 430 by 5 ( number of tests)

Answer:

44

Step-by-step explanation:

2(4x-2)

2(4(6)-2)

2(24-2)

2(22)

44

Hope this helps! :)

Answer and Step-by-step explanation:

Simply plug 6 in for x.

2(4(6) - 2) + 6

Multiply 4 by  6.

2(24 - 2) + 6

Subtract 2 from 24.

2(22) + 6

Multiply 22 by 2.

44 + 6

Add.

50

The answer is 50.

#teamtrees #PAW (Plant And Water)

Answer:

You haven't given a picture of the graph dear.

The point (-3,-2) lies in the third quadrant.

7/4

Step-by-step explanation:

The line would go up 7 points (from -3 to 4) and across 4 points (from -3 to 1)

Answer:

0.5

Step-by-step explanation:

Answer:

337.5 g

Step-by-step explanation:

mass=volume x density=112.5 x 3=337.5

Answer:

The answer is below

Step-by-step explanation:

12 inches = 1 ft.

6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.

Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.

The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²

The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²

ε/D = 0.0004 ft./ 0.5 ft. = 0.0008

Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.

The head loss (h) is:

[tex]h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft[/tex]

The pressure drop (Δp) is:

Δp = ρg[tex]h_f[/tex] = [tex](62.4\ lbf/ft^3)(4.5\ ft)= 280\ lbf/ft^2[/tex]

Answer:

one solution I think is the answer

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{13 - 4.5 + (-8)}\\\\\large\textsf{= 13 - 4.5 - 8}\\\\\large\textsf{13 - 4.5 = \boxed{\bf 8.5}}\large\checkmark\\\\\large\textsf{8.5 - 8}\\\\\boxed{\large\textsf{= \bf 0.5}}\large\checkmark\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 0.5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

9 weeks

235 -73=162 (this is the amount he paid)

162/18=9 (he has been paying his mom for 9 weeks)

Answer:

9 weeks

Step-by-step explanation:

235-73 = 162 (how much he has paid her thus far)

162/18 (how many times he payed her) = 9

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

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

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

Beverages:

3 from a set of 15. So

[tex]B = C_{15,3} = \frac{15!}{3!12!} = 455[/tex]

Appetizers:

3 from a set of 10. So

[tex]A = C_{10,3} = \frac{10!}{3!7!} = 120[/tex]

Desserts:

3 from a set of 13. So

[tex]D = C_{13,3} = \frac{13!}{3!10!} = 286[/tex]

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

[tex]T = B*A*D = 455*120*286 = 15,615,600[/tex]

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Answer:

173 949 pounds

Step-by-step explanation:

radius of the hemisphere = diameter / 2 = 11 feet

Volume of the hemisphere = (2/3  * radius^3 * pi) = = (2/3 * 11^3 * pi) = 2.787,639881 ft^3

Total weight = volume of the hemisphere * 62.4 = 173,948.728592

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 22.6[/tex]

The appropriate alternative hypothesis is [tex]H_1: \mu < 22.6[/tex]

Step-by-step explanation:

The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.

At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:

[tex]H_0: \mu = 22.6[/tex]

At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So

[tex]H_1: \mu < 22.6[/tex]