Which of the following data could be graphed using a dot plot ?

A survey found that 73% of adults have a landline at their residence (event A); 83% have a cell phone (event B). It is known tha

4vir4ik [10]

Answer:

3. What is the probability that an adult selected at random has both a landline and a cell phone?

A. 0.58

4. Given an adult has a cell phone, what is the probability he does not have a landline?

C. 0.3012

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that an adult has a landline at his residence.

B is the probability that an adult has a cell phone.

C is the probability that a mean is neither of those.

We have that:

$A = a + (A \cap B)$

In which a is the probability that an adult has a landline but not a cell phone and $A \cap B$ is the probability that an adult has both of these things.

By the same logic, we have that:

$B = b + (A \cap B)$

The sum of all the subsets is 1:

$a + b + (A \cap B) + C = 1$

2% of adults have neither a cell phone nor a landline.

This means that $C = 0.02$ .

73% of adults have a landline at their residence (event A); 83% have a cell phone (event B)

So $A = 0.73, B = 0.83$ .

What is the probability that an adult selected at random has both a landline and a cell phone?

This is $A \cap B$ .

We have that $A = 0.73$ . So

$A = a + (A \cap B)$

$a = 0.73 - (A \cap B)$

By the same logic, we have that:

$b = 0.83 - (A \cap B)$ .

So

$a + b + (A \cap B) + C = 1$

$0.73 - (A \cap B) + 0.83 - (A \cap B) + (A \cap B) + 0.02 = 1$

$(A \cap B) = 0.75 + 0.83 - 1 = 0.58$

So the answer for question 3 is A.

4. Given an adult has a cell phone, what is the probability he does not have a landline?

83% of the adults have a cellphone.

We have that

$b = B - (A \cap B) = 0.83 - 0.58 = 0.25$

25% of those do not have a landline.

So $P = \frac{0.25}{0.83} = 0.3012$

The answer for question 4 is C.

4 0

2 years ago

Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x

Blababa [14]

I am not sure but I think it represent the middle coordinate

4 0

1 year ago

Brad measured the length of an object as 2.1 * 10^4 cm. Which items might he have measured? Check all that apply.

Airida [17]

Answer with explanation:

Length of an object

$=2.1\times 10^4\\\\=2.1 \times 10000\\\\=21,000$ cm

Other unit of measurement are Meter and Kilometer.

→1 Meter = 100 cm

→1 Kilometer= 1,000 meter=100,000 cm

→→21,000 cm = 210 meter = 0.21 Km

Option B:→ length of a city park, is most suitable measurement ,among all other measurement ,that Brad has done.

Second option Might be: Option A→ Length of a city block , may be That Brad has measured.

All other options are Inappropriate, as they require smaller scale or may be larger Scale ,that brad has used to measure

1.≡ Height of a person →→→240 cm (Maximum of 8 feet)

2. ≡Distance across a city →→→1 Km or 2 Km or 3 Km...

3. ≡Height of an apple tree→→→1,000 cm (Maximum)

4. ≡Width of a screen in a theater→→→2,100 cm (Maximum)

5 ≡depth of water in a swimming pool→→→225 cm

None of the five things described above appears, that brad has measured.

7 0

2 years ago

Read 2 more answers

Use area model to explain the product 4.6 and 3. Write the product in standard form, word form and expanded form.

enyata [817]

Answer: Product = 13.8

Step-by-step explanation:

<u>As we have to use area model :</u>

So, we

Let length of rectangle be 4.6

Let breadth of rectangle be 3

As we know that

Area of rectangle is given by

$Length \times breadth\\\\=4.6\times 3\\\\=13.8\text{ squared units }$

Now, we must write in standard form, word form and expanded form:

So,

Standard form = 13.8

Word form = thirteen and 8 tenths

Expanded form is given by

$13.8=1\times 10+3\times 1+8\times \frac{1}{10}$

3 0

1 year ago

Read 2 more answers

A $55 pair of shoes was discounted 15 percent, making the sale price $46.75. The discounted price was then discounted again by 1

BigorU [14]

46.75 - 0.10(46.75) = 46.75 - 4.675 = 42.075 rounds to 42.08
ur simply taking ur discounted price of $ 46.75 and subtracting 10% of 46.75....leaving u with a final price of 42.08

5 0

1 year ago

Read 2 more answers