The Jack In The Box franchise in Bangor, Maine, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order french fries is 0.50.The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.0.58
0.48
0.45
0.68

Answers

Answer 1

Answer:

Answer: 0.48

Step-by-step explanation:

Given : The probability that a customer will order a hamburger P(H)= 0.60.

The probability that a customer will order french fries P(F)= 0.50.

The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries : P(F|H)= 0.80.

Using conditional probability formula , for any event A (first event) and B (second event), we have:-

$P(B|A)=(P(A\cap B))/(P(A))\n\n\Rightarrow\ P(A\cap B)=P(A)*P(B|A)$

Similarly, the probability that the order will include a hamburger and fries :-

$P(H\cap F)=P(H)* P(F|H)\n\n=0.60*0.80\n\n=0.48$

Hence, the probability that the order will include a hamburger and fries=0.48

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Bertha and Vernon are competing in a diving competition. Bertha's dive ended -24 m from the starting platform. Vernon's dive ended -4 m from the starting platform. How many times farther was the end of Bertha's dive than the end of Vernon's dive?A.

-6

B.

6

C.

20

D.

-20

help help help

Answers

Answer:

B. Bertha's dive ended 6 times farther than Vernon's dive.

Step-by-step explanation:

We have that,

Bertha's dive ended -24 m from that starting point.

Vernon's dive ended -4 m from that starting point.

So, we get that,

Bertha's end point = 6 × Vernon's end point

i.e. -24 = 6 × (-4)

So, we see that,

Bertha's dive ended 6 times farther than Vernon's dive.

The ratio of chaperones to students on a field trip is 2:7. There are 14 chaperones on the field trip. In all, how many chaperones and students are on the field trip

Answers

To find the total number of chaperones and students on the field trip, you can use the given ratio and the fact that there are 14 chaperones. The ratio of chaperones to students is 2:7.

Let C represent the number of chaperones and S represent the number of students. According to the ratio:

2:7 = 14:C

To solve for C, you can set up a proportion:

2/7 = 14/C

Now, cross-multiply:

2C = 7 * 14

2C = 98

Now, divide both sides by 2 to find the number of chaperones (C):

C = 98 / 2

C = 49

So, there are 49 chaperones and 7 times as many students:

Students (S) = 7 * Chaperones (C) = 7 * 49 = 343

In total, there are 49 chaperones and 343 students on the field trip.

Any ideas on how to find the value of 'x' on either 13 or 16? Anything helps!

Answers

(x+5)/4=1/2
first get rid of the fraction
multiply both sides by 4
x+5=2
subtract 5
x=-3

(2x+1)/(4x-1)=2/3
get rid of the fractions,
multiply both sdies by (4x-1)(3)
(2x+1)(3)=(2)(4x-1)
distribute
6x+3=8x-2
subtract 6x form both sdies
3=2x-2
add 2
5=2x
divide by 2
5/2=x

What is the general form of the equation of a circle with center at (a, b) and radius of length m?. A. x2 + y2 − 2ax − 2by + (a2 + b2 − m2) = 0 . . B.x2 + y2 + 2ax + 2by + (a2 + b2 − m2) = 0. C. x2 + y2 − 2ax − 2by + (a + b − m2) = 0. D. x2 + y2 + 2ax + 2by + a2 + b2 = -m2.

Answers

The generic equation of the circle is given by:
$(x-xo) ^ 2 + (y-yo) ^ 2 = r ^ 2$
Where,
r: radius of the circle
(xo, yo): center of the circle.
The center of the circle in this case is:
$(xo, yo): (a, b)$
The radius of the circle is:
$r = m$
Substituting values we have:
$(x-a) ^ 2 + (y-b) ^ 2 = m ^ 2$
Rewriting the equation we have:
$x ^ 2 - 2ax + a ^ 2 + y ^ 2 - 2by + b ^ 2 - m ^ 2 = 0x ^ 2 + y ^ 2 - 2ax - 2by + a ^ 2 + b ^ 2 - m ^ 2 = 0$
Answer:
The general form of the equation of a circle with center at (a, b) and radius of length m is:
$x ^ 2 + y ^ 2 - 2ax - 2by + a ^ 2 + b ^ 2 - m ^ 2 = 0$
option A

The general form of the equation of a circle with center at (a, b) and radius of length m is B.x2 + y2 + 2ax + 2by + (a2 + b2 − m2)

the standard equation for a circle is: (x-a)^2 + (y-b)^2 = m^2

x-a)^2 + (y-b)^2 = m^2

means(x-a)(x-a) + (y-b)(y-b) = m^2 then you foil

x^2 - 2ax + a^2 + y^2 - 2by + b^2 = m^2

At a quiz competition for every question team A answered correctly team B answered 2 questions correctly. The ratio of the number of questions team A answered correctly to the number of questions team B answered correctly is ___ 1 to1 2 to 1 1to2 2to2

Answers

Answer:

1 to 2

Step-by-step explanation:

If A answers 1 question, B will answer 2 questions, making the ratio 1 to 2

Answer:

The answer is 1 to 2 i did the quiz on flvs

Step-by-step explanation:

4x²+8x=1 by completing the square

Answers

First thing you do is subtract both sides by 1.
Then divide everything by 4, to remove the 4x².
After completing the square, you multiply the 4 back in.

Photo attached.
Hope the answer is right >-<
Have a Brainly day!

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