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3 years ago

Part A: Chanelle is playing Prodigy and answering lots of math questions. She answers 30 questions in 6 seconds.

Mathematics

1 answer:

Pavel [41]3 years ago

5 0

Answer:

5 and 30

Step-by-step explanation:

30/6= 5/s

6*5= 30s

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A major credit card company has determined that customers charge between $100 and $1100 per month. If the monthly amount charged

Alexxx [7]

Answer:

a) $E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

b) First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

c) $P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

d) $P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

Step-by-step explanation:

For this case we define the random variable X who represent the customers charge, and the distribution for X on this case is:

$X \sim Unif (a= 100, b=1100)$

Part a

For this case the average is given by the expected value and we can use the following formula:

$E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

Part b

First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

Part c

For this case we want to find the percent between 600 and 889, so we can use the cumulative distribution function given by:

$F(x) = \frac{X -100}{1100-100}= \frac{x-100}{1000}, 100 \leq X \leq 1100$

And we can find this probability:

$P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

Part d

$P(311 < X< 889) = P(X$

And using the cdf we got:

$P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

6 0

3 years ago

A sixth grade student bought three cans for $4 each.Sales tax for all 3 cans is $.95.Write and expression to show the total amou

shepuryov [24]

3(4) + .95
12+.96
12.96

5 0

4 years ago

When p is false and q is true, then p or q is _______ true

Anastaziya [24]

Answer:

sometimes

Step-by-step explanation:

always and never would not make sense since saying it is possible that it is true or false.

7 0

3 years ago

Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula? Q

enyata [817]

$1=-2x+3x^2+1\\\\3x^2-2x+1-1=0\\\\3x^2-2x=0\\\\\boxed{a=3;\ b=-2;\ c=0}$

6 0

4 years ago

Read 2 more answers

What is the solution to the equation below?<br> log 20x3 - 2log x=4

andrey2020 [161]

Answer:

x=500

Step-by-step explanation:

To solve the equation given, we will follow the steps below:

log 20x³ - 2log x=4

using the law of logarithm,

2log x = log x²

so, our equation becomes;

log 20x³ - log x²=4

Also using another law of logarithm;

log 20x³ - log x² = log (20x³/x²)

our equation becomes;

log (20x³/x²) = 4

log 20x = 4

from the definition of logarithm, logarithm is the power of the exponential

10⁴ = 20 x

10000 = 20x

divide both-side of the equation by 20

10000/20 = 20x/20

at the right-hand side of the equation 20 will cancel-out 20 leaving us with just x and the left-hand side of the equation, 10000 will be divided by 20

500 = x

x = 500

8 0

4 years ago