out of school assembly three out of the first 10 students were wearing spirit wear based on this information if 400 students were at the assembly then how many students could be expected to have on spirit wear?

If three out of the first 10 students were wearing spirit wear, we can assume that the same ratio holds true for the rest of the students at the assembly.

So, for every 10 students, 3 of them are wearing spirit wear.

To find out how many students out of 400 are wearing spirit wear, we can set up a proportion:

10/3 = 400/x

where x is the number of students wearing spirit wear.

We can solve for x by cross-multiplying:

10x = 3 * 400

10x = 1200

x = 120

Therefore, we can expect about 120 students to be wearing spirit wear out of the 400 students at the assembly.

The letters in the word August are placed in a bag what is the probability of selecting a u type your answers a fraction and simplify the fraction

There are a total of 6 letters in the word August.

Out of these 6 letters, there is only one u.

So, the probability of selecting a u is:

1/6

This is already a simplified fraction.

A spinner has 2 hearts, 3 squares, 1 circle and 1 triangle. If the spinner is spun once what is the probability of not landing on a heart? type your answer as a fraction.

There are a total of 2 + 3 + 1 + 1 = 7 segments on the spinner.

Out of these 7 segments, 2 are hearts.

Therefore, the probability of landing on a heart is:

2/7

The probability of not landing on a heart would be the complement of this probability (i.e., the probability of landing on a square, circle or triangle):

1 - 2/7 = 5/7

So, the probability of not landing on a heart is:

5/7

There's six regular socks and two striped socks. Daniel is selecting a sock from his drawer at random, if Daniel does this 60 times what is reasonable prediction for the number of times he will get a striped sock?

There are a total of 6 + 2 = 8 socks in Daniel's drawer.

The probability of selecting a striped sock is:

2/8 = 1/4

This means that for every 4 socks Daniel selects, one of them is expected to be a striped sock.

If Daniel selects 60 socks, we can estimate the number of times he will get a striped sock by multiplying the number of groups of 4 socks in 60, which is:

60 รท 4 = 15

So, we can reasonably predict that Daniel will get a striped sock around 15 times out of 60 sock selections.

The list below shows a different pieces sold by noon at a local pizza shop. pepperoni: 11 supreme: 7 cheese: 6 Hawaiian: 3 based on these results if 189 pieces were sold by the end of the day how many pizzas could be expected to be cheese?

The total number of pizzas sold by noon was:

11 + 7 + 6 + 3 = 27

Let's assume that the same ratio holds true for the rest of the day:

- For every 27 pizzas sold, 6 of them were cheese.

We can use this ratio to estimate the number of cheese pizzas sold by the end of the day:

- If 27 pizzas correspond to 6 cheese pizzas, then 189 pizzas correspond to x cheese pizzas:

27/6 = 189/x

By cross-multiplying, we get:

27x = 6 * 189

27x = 1134

x = 42

Therefore, we can expect around 42 cheese pizzas to be sold by the end of the day.

Al has a set of five card shown below. The cards are numbered 1 2 3 4 5. Al will randomly select a card not replace it and then select another card. what is the probability that he selects a prime number and then a one.