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Andrej [43]
3 years ago
12

A) 31 c) 30 b) 28 d) 61

Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0

Answer:

  A)  31

Step-by-step explanation:

The difference of low-end values for successive classes is 31. This is the class width.

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Our class has 50 students. Assuming that no students are born on leap days (February29), what is the probability that no two stu
madreJ [45]

Answer:  a) \dfrac{799}{31250}  b) \dfrac{30451}{31250}

Step-by-step explanation:

Since we have given that

Number of days in a year = 365

Number of students = 50

Probability that no two students share the same birthday. It means each student has different birthday.  

Probability(no two students share the same birthday)=\dfrac{365-1}{365}\times \dfrac{365-2}{365}........\times \dfrac{365-50}{365}

Probability(no two students share the same birthday)=\dfrac{^{365}P_{50}}{365^{50}}

Probability(no two students share the same birthday)=\dfrac{799}{31250}\approx 0.025568

Probability that at least one of the students has the same birthday as another student in the class is given by

1-P(\text{no student share the same birthday})\\\\=1-\dfrac{799}{31250}\\\\=\dfrac{30451}{31250}=0.974432

5 0
3 years ago
a sports team won twice as many games as they lost. the sum of games won and games lost was 42. How many games did they win?
Elenna [48]

Answer:

21

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²
beks73 [17]
<h2>Answer:</h2>

The derivative of the function f(x) is:

                 f'(x)=-2x

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

f(x)=5-x^2

We have:

f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)

( Since,

(a+b)^2=a^2+b^2+2ab )

Hence, we get:

f(x+h)=5-x^2-h^2-2xh

Also, by using the definition of f'(x) i.e.

f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}

Hence, on putting the value in the formula:

f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x

      Hence, the derivative of the function f(x) is:

          f'(x)=-2x

3 0
3 years ago
Read 2 more answers
I really need help. Please help me!
Mumz [18]

Answer:

Simple the answer is 0

Step-by-step explanation:

The initial value is the y intercept or where the line passes though on the y axis

5 0
3 years ago
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If a man can weave 450m in 6 hours. How many metres of cloth can he weave in 12 hors
Wittaler [7]
Answer: 900m

Explanation.

There are two ways you can solve to find the number of meters waved...I’ll show you how to do both.

Plan A:
1. Find the rate of meters weaves per hour by dividing 450 meters by 6 hours. The answer is 75 meters per hour.
2. Multiply the rate per hour (75) times 12 to find how many meters are weaved on 12 hours.

Plan A Answer: 900m

Plan B:
1. Set up a proportion like the one below:
2. Cross multiply and solve for x

Plan B answer: 900m

6 0
2 years ago
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