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3 years ago

13

Each year we have a canned food drive at Bay Creek Middle School. For every 4 boxed items donated, there are 5 canned items dona

ted. If 800 boxed items were donated, how many canned items were donated?

1 answer:

lubasha [3.4K]3 years ago

7 0

Answer:

1,000

Step-by-step explanation:

because 800÷4=200 200×5=1,000

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the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,

kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

One in ten students are named Joe, hence $p = \frac{1}{10} = 0.1$ .

There are 15 students in the class, hence $n = 15$ .

The probability that at least one of them is named Joe is:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059$

Then:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941$

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0

2 years ago

The length of a rectangle is 7 inches and the width is (x + 2) inches. Write an expression in simplest form that represents the

Harrizon [31]

Answer:

7(x+2)

Step-by-step explanation:

7x +14 is that eventually equals out to

3 0

3 years ago

Draw a mapping diagram (1,0) (3,0) (5,4) (7,4) (9,4)

Anton [14]

Answer:

See attachment

Step-by-step explanation:

In other to draw a mapping diagram for the ordered pairs (1,0) (3,0) (5,4) (7,4) (9,4).

We identify the domain and range:

The domain is the set of the first coordinates of the ordered pairs.

Domain={1,3,5,7,9}

The range is the set of all the second coordinates.

Range: {0,4}

3 0

2 years ago

The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is 25 yards, which measurement is close

nirvana33 [79]

Answer:

Width of the pool = 15 yards

Step-by-step explanation:

Given that:

Length of diagonal of swimming pool = 29 yards

Length of the pool = 25 yards

Let,

w be the width.

This will form a right angled triangle where the diagonal will be hypotenuse.

Using Pythagorean theorem;

$(25)^2+(w)^2 = (29)^2\\625+w^2=841\\w^2= 841 - 625\\w^2 = 216$

Taking square root on both sides

$\sqrt{w^2}=\sqrt{216}\\w=14.70$

Rounding off to nearest whole number

w = 15 yards

Hence,

Width of the pool = 15 yards

3 0

2 years ago

John is expanding these two brackets.

Elan Coil [88]

Answer: Um, the answer is B, and C?

Step-by-step explanation:

5 0

3 years ago