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Archy
3 days ago
15

*PLEASE ANSWER, DIFFICULT QUESTION* Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at scho

ol. Otherwise, he’ll call her on the phone. If he talks to her at school, he’s 90% likely to ask her to a party. However, he’s only 60% likely to ask her over the phone.
What is the total probability of Thomas inviting Madeline to the party?
a.) 100%

b.) 84%

c.) 64%

d.) 90%

Mathematics
1 answer:
zzz [4K]3 days ago
7 0

Options B or D

Either choice can apply.

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Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What
lawyer [4039]

Answer:

2/5

Step-by-step explanation:

By subtracting 130, 35, and 74 from the total of 400, you arrive at 160 left. Next, simplify this fraction by finding the greatest common divisor to get 2/5!

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10 days ago
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243.875 to nearest tenth, hundredth, ten, and hundred
Inessa [3926]
When rounding 243.875: to the nearest tenth, it becomes 243.9; to the nearest hundredth, it is 243.88; to the nearest ten, it rounds down to 240; and to the nearest hundred, it rounds down to 200. The general rule in rounding states that if the decimal is less than 5, the number remains the same; if it is 5 or more, you round up.
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2 days ago
(a) For what values of k does the function y = cos(kt) satisfy the differential equation 81y'' = −4y? (Enter your answers as a c
tester [3938]

Answer:

k = \frac{2}{9}, k=\frac{-2}{9}

Step-by-step explanation:

The initial scenario is a specific case of the subsequent one, so we will address the second case first.

Consider y = A\sin(kt) + B\cos(kt). Through the utilization of derivatives and trigonometric function properties, it is determined that

y' = A\cdot k \cos(kt)- B \cdot k \sin(kt) = k (A\cos(kt)-B\sin(kt))

y'' = k(-A\cdot k \sin(kt)-B\cdot k \cos(kt)) = -k^2(y)

The equation is represented as 81y''=-4y. It's important to note that since y'' = -k^2y it leads to the equation

-k^2 81y=-4y,

which signifies that k^2 = \frac{4}{81}. Consequently, k=\pm\frac{2}{9}

It's notable that in this instance, the value of k is independent of A and B. Thus, it applies universally to any values of A and B. The first scenario is included since it corresponds to A=0 and B=1.

5 0
3 days ago
Sheri’s cab fare was $32, with a 20% gratuity and no taxes. Sheri wrote a check to the cab driver for $40.
zzz [4035]

Indeed, a fare of $40 is a fair charge for the cab ride.

Explanation

Sheri's cab fare totaled $32, with a gratuity rate of 20%.

The gratuity amount is: \$32* 20\% = \$32*0.20= \$6.40

Thus, the total cab fare including gratuity is: \$32+\$6.40 = \$38.40

Since Sheri issued a $40 check to the cab driver, it indicates she provided ($40 - $38.40) or an extra $1.60 to the cab driver. Consequently, the $40 payment is reasonable for the cab fare.

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9 days ago
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For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. Each of those lines is p
zzz [4035]

Response:

D. The sidelines are parallel because they are perpendicular to a common line.

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According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.

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5 days ago
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