All categories

2 years ago

Two coins are flipped. Draw a sample space diagram showing all possible outcomes

1 answer:

7 0

H = Heads, T = tails
1st Coin 2nd Coin Final Outcome, ÷ 4 possible outcomes
H (H,H) 1/4, or 25%
H
T (H,T) 1/4, or 25%

H (T,H) 1/4, or 25%
T
T (T,T) 1/4, or 25%

If order does not matter:
T,T: 25%
TH or HT: 50%
HH: 25%

You might be interested in

an eagle leaves her nest on the side of a cliff. she soars upward 60 ft and then dives 80 ft. what is her change in elevation af

labwork [276]

Her change is -20ft.

5 0

2 years ago

A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

AveGali [126]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 15 \ months$

The sample size is n = 25

The sample mean is $\= x = 17 \ months$

The standard deviation is $s = 5.5 \ months$

Let assume the level of significance of this test is $\alpha = 0.05$

The null hypothesis is $H_o : \mu = 15$

The alternative hypothesis is $H_a : \mu > 17$

Generally the degree of freedom is mathematically represented as

$df = n -1$

=> $df = 25 -1$

=> $df = 24$

Generally the test statistics is mathematically represented as

$t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }$

=> $t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }$

=> $t = 1.8182$

Generally from the student t distribution table the probability of obtaining $t = 1.8182$ to the right of the curve at a degree of freedom of $df = 24$ is

$p-value = P(t > 0.18182 ) = 0.4286$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.

7 0

2 years ago

Which table shows a function whose range has exactly three elements

Rudik [331]

<h2>Answer:</h2>

The table which shows that a function's range has exactly three elements is:

x y

3 8

4 6

5 12

6 8

<h2>Step-by-step explanation:</h2>

<u>Domain of a function--</u>

The domain of a function is the set of all the x-values i.e. the value of the independent variable for which a function is defined.

<u>Range of a function--</u>

It is the set of all the y-value or the values which are obtained by the independent variable i.e. the values obtained by the function in it's defined domain.

x y

1 4

2 4

3 4

Domain: {1,2,3}

Range: {4}

Hence, the range has a single element.

x y

3 8

4 6

5 12

6 8

Domain: {3,4,5,6}

Range: {6,8,12}

Hence, the range has three element.

x y

0 5

2 9

0 15

This relation is not a function.

because 0 has two images.

0 is mapped to 5 and 0 is mapped to 15.

x y

1 4

3 2

5 1

3 4

This relation is not a function.

because 3 has two images.

3 is mapped to 2 in the ordered pair (3,2) and 3 is mapped to 4 in the ordered pair (3,4)

5 0

3 years ago

Read 2 more answers

Domain and range and function

gizmo_the_mogwai [7]

Answer:

jxnxksksksjdnmdnfnffjjdjd

8 0

2 years ago

Read 2 more answers

This is the whole thing.

crimeas [40]

Answer:

Can you attach it? i will do it if you attach it

Step-by-step explanation:

5 0

2 years ago