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olganol [36]
2 years ago
7

Nick, Paul and krutika share £80 in a ratio 1:1:2 how much money does each person get

Mathematics
1 answer:
pychu [463]2 years ago
4 0

Answer:

Step-by-step explanation:

x + x + 2x = 80

4x =80

X = 20

Nick = 20

Paul = 20

Krutika = 40

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What is the remainder when (x3 + 1) is divided by (x2 – x + 1)? x + 1 x 2 0
mariarad [96]

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x+1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.046.0 and
Gala2k [10]

Answer:

The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is 0.10

Step-by-step explanation:

The Uniform Distribution, also known as Rectangular Distribution, is a type of Continuous Probability Distribution. It has a continuous random variable restricted to a finite interval and its probability function has a constant density during this interval.

The formula of probability if given by:

f(x)=

\left \{ {{\frac{1}{b-a}; \ a \leq x \leq b  } \atop {0}; \ x \ otherwise } \right.

In this exercise a= 46.0 and b= 56.0

The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is:

\int\limits^{51.25}_{50.25} {\frac{1}{56-46} } \, dx = \int\limits^{51.25}_{50.25} {\frac{1}{10} } \, dx = \frac{1}{10} \times (51.25 - 50.25)=\frac{1}{10}=0.1

7 0
2 years ago
Trig questions:
navik [9.2K]
Question 1
Because the period is 2π, and the amplitude is 1obtain
f(x) = sin(x)
Because the horizontal shift is π, obtain
f(x) = sin(x - π)
Because the vertical shift is -4, obtain
f(x) = sin(x - π) - 4

Answer: 1. f(x) = sin(x - π) - 4

Question 2
The radius is 36/2 = 18 in.
1 revolution (360°) is the circumference, which is
2π(18) = 36π in
When the revolution is 62°, the distance traveled is
(62/360)*(36π) = (31/5)π in

Answer: 3. (31π)/5

Question 3.
Consider f(x) = 3cos(2x-π) - 1
f(0) = 3cos(-π) - 1 = -4
f(π/2) = 3cos(0) - 1 = 2
Rate of change = (2+4)/(π/2) = 12/π

From the graph, the rate of change of g(x)  is
3/(π/2) = 6/π

Consider h(x) = sin(x) - 4
h(0) = 0 - 4 = -4
h(π/2) = 1 - 4 = -3
Rate of change = (-3+4)/(π/2) = 2/π
Therefore h(x) has the smallest rate of change

Answer: h(x)

8 0
3 years ago
Please answer now ASAP!! I have this assignment at school my teacher wants us to do but I don’t get it. Answer both questions wi
Tanzania [10]

Answer:

Step-by-step explanation:

1. If m<2 = 32°

the measure for m<4 is 148°

x + 32° = 180°

x = 148°

measure of m<6 = 148° alternate interior of m<4

2. If m<1 = 65°, then m<2 and m<3  are also 65°

Both m<2 and m<3 are vertical angles therefore they are 65°

m<1 and m<2 are corresponding angles therefore they are 65°

6 0
3 years ago
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