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3 years ago

Your school is planning a field trip to the zoo. There are two different bus companies that the school can

Mathematics

1 answer:

inysia [295]3 years ago

3 0

Answer:

For Company A 15 students will be able to go. For company B 21 students will be able to go.

Step-by-step explanation:

Company A 15 x 7 = 105

Company B 21 x 5 = 105

The total amount of money each company will get is $105.

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Let x and y be independent each uniformly distributed on {1,2,...,n} find p(x < y )

bulgar [2K]

If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have (legend: < : x<y = : x=y > : x>y

y 1 2 3 4
x
1 = < < <
2 > = < <
3 > > = <
4 > > > =

We see that there are n(n-1)/2 cases of x<y out of n^2.
Therefore,
p(x<y)=n(n-1)/(2n^2)=(n-1)/(2n)

However, if the sample space is continuous, it will be simply p(x<y)=1/2.

8 0

2 years ago

After how many years are the salaries offered by company a and company b the same

12345 [234]

24000 + 3000x = 30000 + 2400x
3000x - 2400x = 30,000 - 24,000
600x = 6000
x = 6000/600
x = 10 years

6 0

2 years ago

The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5

FromTheMoon [43]

P(A) = 0.12
$P(A\cap C)=0.05$
$P(A\cup C)=0.17=P(A)+P(C)-P(A\cap C)$
$0.17=0.12+P(C)-0.05$
$P(C)=0.17-0.12+0.05=0.10$

5 0

3 years ago

Read 2 more answers

Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t

malfutka [58]

Answer:

$P(t)=37\times (4)^{(t/9.1)}$

Explanation:

The number of emails is multiplied by 4 every 9.1 weeks.

Thus, since Tobias initially sent the chain letter to 37 friends, the number of letters will grow as per this geometric series:

Start: 37 letters

In 9.1 weeks: 37 × 4

In 2 × 9.1 weeks: 37 × (4)²

In 3 × 9.1 weeks: 37 × (4)³

As you see, the exponent is the number of weeks divided by 9.1

Thus, if your variable is the number of weeks, t, then the exponent is t/9.1

And the exponential function, P(t) will be:

$P(t)=37\times (4)^{(t/9.1)}$

3 0

2 years ago

The sample consisted of 50 night students, with a sample mean GPA of 3.02 and a standard deviation of 0.08, and 25 day students,

bulgar [2K]

Answer: The test statistic is t= -0.90.

Step-by-step explanation:

Since we have given that

n₁ = 50

n₂ = 25

$\bar{x_1}=3.02\\\\\bar{x_2}=3.04\\\\\sigma_1=0.08\\\\\sigma_2=0.06$

So, s would be

$s=\sqrt{\dfrac{n_1\sigma_1^2+n_2\sigma_2^2}{n_1+n_2-2}}\\\\s=\sqrt{\dfrac{50\times 0.08^2+25\times 0.06^2}{50+25-2}}\\\\s=0.075$

So, the value of test statistic would be

$t=\dfrac{\bar{x_1}-\bar{x_2}}{s(\dfrac{1}{n_1}+\dfrac{1}{n_2})}\\t=\dfrac{3.02-3.04}{0.074(\dfrac{1}{50}+\dfrac{1}{25})}\\\\t=\dfrac{-0.04}{0.074(0.02+0.04)}\\\\t=\dfrac{-0.04}{0.044}\\\\t=-0.90$

Hence, the test statistic is t= -0.90.

7 0

3 years ago