Please help on Photo question. Mathematics. Second

Answers

Answer 1

Answer: the first solution
there's no number which > 3 & < 1
so it is
x>3
x<1

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A bag contains 5 blue marbles, 6 red marbles, and 9 green marbles. Two marbles are drawn at random, one at a time. What is the probability of selecting a green marble and then, without replacing it, a red marble? A. 9/38 B. 9/190 C. 27/190 D. 3/38

Answers

Your answer would be C. 27/190.

This is because the probability of choosing green as the first marble would be 9/20, as there are 20 marbles in total and 9 of those are green.

The probability of choosing a red marble as the second marble would be 6/19, as no red marbles would have been lost if green was picked first, but there would be one less marble in total.

The 'and' rule for probability, the one that is used to determine the probability of P(A) and P(B), is to multiply, so we need to do 9/20 × 6/19 = 54/380 = 27/190.

I hope this helps!

A marine biologist collects data on the length of rainbow trout on a protected western river. She finds that the length of adult trout in her study are approximately normally distributed with mean 14 inches. She also reports that the minimum length was 10 inches and the maximum was 18 inches. Based on this information what is the most likely value of the standard deviation?

Answers

Answer:

The standard deviation of the data is 2 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 14

We are given that the distribution of length of adult trout is a bell shaped distribution that is a normal distribution.

Minimum length = 10 inches

Maximum length = 18 inches

Range

= Maximum length - Minimum length = 18 - 10 = 8

Thumb Rule of Standard Deviation:

The Range Rule of Thumb says that the range is about four times the standard deviation.
$\text{Range} = 4* \text{Standard Deviation}$
The standard deviation tells us how data is clustered around the mean.

Thus, by thumb rule, we get,

$\text{Standard Deviation} = \displaystyle\frac{\text{Range}}{4} = (8)/(4) = 2$

Thus, the standard deviation of the data is 2 inches.

6248 divided by 38
Quotient:
Remainder:

Answers

Quotient: 164
Remainder: 8/19

Round 0.00009893 to 1 significant figure?

Answers

The significant figure, will be 0.00010 because you would have to round the nine, and the closest number to 9 is 10.

Recipe calls for 2/5 cup of milk, how much milk should be used to make 1/8 of the recipe_____

Answers

The amount of milk that should be used to make 1/8 of the recipe is 1/20 and this can be determined by using the unitary method.

Given :

The recipe calls for 2/5 cups of milk.

The following steps can be used in order to determine the amount of milk that should be used to make 1/8 of the recipe:

Step 1 - The unitary method can be used in order to determine the amount of milk that should be used to make 1/8 of the recipe.

Step 2 - According to the given data, one recipe required 2/5 cups of milk.

Step 3 - The amount of milk required by 1/8 recipe is:

$=((2)/(5))/(1)* (1)/(8)$