All categories

3 years ago

{0, 2, -2} number line

Mathematics

1 answer:

ser-zykov [4K]3 years ago

4 0

I drew a picture for you. It's below ^.^

You might be interested in

Calculate the number of subsets and the number of proper subsets for the set.

arlik [135]

A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 <em>proper</em> subsets.

The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.

Just to illustrate the claim, we have

• subsets of size 0 (1 of these):

{ } (empty set)

• subsets of size 1 (4 of these):

{1/6}, {1/7}, {1/8}, {1/9}

• subsets of size 2 (6 of these):

{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}

• subsets of size 3 (4 of these):

{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}

• subsets of size 4 (1 of these):

{1/6, 1/7, 1/8, 1/9}

and the last one is the only subset that is not a proper subset, because that subset = the set.

6 0

2 years ago

what is the probability of rolling 6 five times in a row? Write your answer as a fraction in simplest form.

qaws [65]

Answer:

1/7776.

Step-by-step explanation:

The probability of rolling a six in 1 throw = 1/6.

Rolling a 6 5 times in a row = (1/6)^5

= 1/7776.

The probability is multiplied because each roll is independent from other rolls.

5 0

3 years ago

Read 2 more answers

A study found that the average stopping distance of a school bus traveling 50 mph was 264 feet. a group of automotive engineers

lutik1710 [3]

Answer:

Step-by-step explanation:

Given that a study found that the average stopping distance of a school bus traveling 50 mph was 264 feet.

Sample taken showed the following results

$n=40\\\bar x =262.3 feet\\Std dev = \sigma= 3 ft$

Since population std deviation is known and sample size is large, z test can be used.

$H_0: \bar x=264\\H_a: \bar x$

(Left tailed test)

Mean difference = $264-262.3 = 1.7$

Std error = $\frac{\sigma}{\sqrt{n} } \\=\frac{3}{\sqrt{40} } \\=0.474$

Z = test statistic = mean diff/std error

= $\frac{1.7}{0.474} \\=3.584$

p value = 0.00017

Since p < alpha our 0.05 we reject null hypothesis

There is evidence to show that mean is less than 264 feet

(Assumptions:

Sample are randomly drawn

Sample represents the population

4 0

3 years ago

14 more than 6 times a number as a variable expression

Andreas93 [3]

6 times x (the variable) plus 14 so basically 6x+14

8 0

3 years ago

Help with this quistion

ankoles [38]

Answer:

i am pretty sure the answer is a. a vertical shift down 8 units.

Step-by-step explanation:

let me know if this is wrong

7 0

3 years ago

Read 2 more answers