MATHEMATICS COLLEGE

For a field trip 9 students rode in cars andthe rest filled eight buses. How many
students were in each bus if 265 students
were on the trip?

Answers

Answer 1

Answer:

Answer:

32 students were on each bus.

Step-by-step explanation:

First deduct 9 students from the total number: 265 - 9 = 256

Then divide the students among the total number of buses, which is 8: 256/8 = 32

So there are 32 students on each bus.

Hope this helps

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Show steps how to solve for y!!!!!
2y+2=3y/2
Please help me

Answers

$\text{Solve for y:}\n\n2y+2=(3y)/(2)\n\n\text{Multiply both sides by 2 to cancel the denominator}\n\n4y+4=3y\n\n\text{Subtract 3y from both sides}\n\ny+4=0\n\n\text{Subtract 4 from both sides}\n\n\boxed{y=-4}$

Answer:-4

Step-by-step explanation:

2y+2=3y/2

Cross multiply

2(2y+2)=3y

Open bracket

4y+4=3y

Collect like terms

4y-3y=-4

y=-4

3. A metal fabricating plant currently has five major pieces under contract each with a deadline for completion. Let X be the number of pieces completed by their deadlines, and suppose it's PMF p(x) is given by x 0 1 2 3 4 5 p(x) .05 .1 .15 .25 .35 .1 (a) Find and plot the CDF of X. (b) Use the CDF to find the probability that between one and four pieces, inclusive, are completed by their deadline

Answers

Answer:

a) The cumulative distribution function would be given by:

x 0 1 2 3 4 5

F(X) 0.05 0.15 0.30 0.55 0.9 1

b) $P(1 \leq X \leq 4) = F(4) -F(0) =0.9-0.05 = 0.85$

And replacing we got:

$P(1 \leq X \leq 4) =0.85$

Step-by-step explanation:

For this case we have the following probability distribution function given:

x 0 1 2 3 4 5

P(X) 0.05 0.1 0.15 0.25 0.35 0.1

We satisfy the conditions in order to have a probability distribution:

1) $\sum_(i=1)^n P(X_i)=1$

2) $P(X_i) \geq 0, i=1,2,..,n$

Part a

The cumulative distribution function would be given by:

x 0 1 2 3 4 5

F(X) 0.05 0.15 0.30 0.55 0.9 1

Part b

For this case we want to find this probability:

$P(1 \leq X \leq 4) = F(4) -F(0) =0.9-0.05 = 0.85$

And replacing we got:

$P(1 \leq X \leq 4) =0.85$

N<2^2. mathematical induction

Answers

Answer:

Inequality Form:
n < 4

Interval Notation:
(-, 4)

God bless you have a beautiful blessed day and I hope this makes it!

Find each percent increase. Round to the nearest percent

Answers

Answer:

1. 15 to 21 = 21 - 15 / 15 = 0.4*100% = 40%

2. 12 teachers to 48 teachers = 48 - 12/48 = 0.75 * 100% = 75%

3. 80 pencil to 120 pencil = 120 - 80 / 80 = 0.5*100% = 50%

4. 40 cans to 70 cans = 70 - 40 / 70 = 0.43 * 100% = 43%

What is 19% of 103?

Answers

Answer:

19.57

Step-by-step explanation:

When you do 19% of 103

you get 19.57

Hope this helps! <3

Answer: 19% of 103 is 19.57

A steep mountain road has a grade of 8%, which means that the road rises 8 feet vertically for every 100 feet it travels horizontally. write the grade as a ratio in simplest form.