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Elden [556K]
2 years ago
11

Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. K

elly ran at an average speed of 8 miles per hour. When will Ava and Kelly be 3/4 miles apart?
Mathematics
1 answer:
Serhud [2]2 years ago
7 0

Answer:

The answer is 0.375 hours

Step-by-step explanation:

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Smith High School offers a baseball camp that is $75 for 4 days of camp and a basketball camp that is $100 for 5 days of camp. W
castortr0y [4]
A) baseball camp by $1.25 a day

5 0
2 years ago
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Is y=17 a linear function ?
STALIN [3.7K]
Y=17 is not a linear function,the term refers to two distinct but similar notions
7 0
2 years ago
The probability that a person in the United States has type B​+ blood is 12​%. Three unrelated people in the United States are s
V125BC [204]

Answer:

The probability that all three have type B​+ blood is 0.001728

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a person in the United States has type B​+ blood is 12​%.

This means that p = 0.12

Three unrelated people in the United States are selected at random.

This means that n = 3

Find the probability that all three have type B​+ blood.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.12)^{3}.(0.88)^{0} = 0.001728

The probability that all three have type B​+ blood is 0.001728

4 0
2 years ago
5. The measures of angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. Calculate the size of the largest angle
Amiraneli [1.4K]

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

3 0
2 years ago
Match the following guess solutions yp for the method of undetermined coefficients with the second-order nonhomogeneous linear e
qaws [65]

Answer:

Step-by-step explanation:

For each of the yp(x) we can deduce the characteristic polynomial of the differential equation

A.

yp(x)=Ax^2+Bx+C\\m^2=0\\y''=0

B.

yp(x)=Ae^{2x}\\(m-2)m=0\\m^2-2m=0\\y''-2y=0

C.

yp(x)=Acos2x+Bsin2x\\m_1=2i\\m_2=-2i\\y''+4=0

D.

yp(x)=(Ax+B)cos2x+(Cx+D)sin2x\\yp(x)=xcos4x

hope this helps!!

8 0
2 years ago
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