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alexdok [17]
3 years ago
8

The probability that a randomly-selected U.S. household owns a pet is 0.39. Given that a household owns a pet, the probability t

hat it owns a dog is 0.67 and the probability that it owns a cat is 0.24. a) Given that a household owns a pet, what is the probability that the pet is not a cat or dog?
Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer:

0.2508

Step-by-step explanation:

The question asks for a conditional probability.

P(a household owns a dog if it owns a pet) = 0.67

Then P(a household does not own a dog if it owns a pet) = 1 - 0.67 = 0.33

P(a household owns a cat if it owns a pet) = 0.24

Then P(a household does not own a cat if it owns a pet) = 1 - 0.24 = 0.76

P(if a household owns a pet but the pet is not a cat or dog) = P(if a household owns a pet, it does not own a cat) × P(if a household owns a pet, it does not own a dog) = 0.33 × 0.76 = 0.2508

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I need help. Thanks!
kogti [31]

Answer:

120 is the missing degree

Step-by-step explanation:

20+40=60

180 in the total musurment od an angle

so 180-60=120

3 0
3 years ago
The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.
stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the distance formula, we get

AB=\sqrt{(5-(-3))^2+(8-2)^2}

AB=\sqrt{(8)^2+(6)^2}

AB=\sqrt{64+36}

AB=\sqrt{100}

AB=10

Similarly,

BC=\sqrt{(11-5)^2+(0-8)^2}

BC=\sqrt{(6)^2+(8)^2}

BC=\sqrt{36+64}

BC=\sqrt{100}

BC=10

And,

AC=\sqrt{(11-(-3))^2+(0-2)^2}

AC=\sqrt{(14)^2+(-2)^2}

AC=\sqrt{196+4}

AC=\sqrt{200}

AC=10\sqrt{2}

Two sides of the triangle are equal, i.e., AB=BC. So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

AB^2+BC^2=10^2+10^2

AB^2+BC^2=100+100

AB^2+BC^2=200

AB^2+BC^2=AC^2

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

7 0
3 years ago
An equation _____ has one solution.<br><br> Always <br><br> Sometimes <br><br> Never
garri49 [273]
Sometimes; An equation can have infinitely many, two, one, or none, so that eliminates never and always.
5 0
4 years ago
Use the data from problem:
navik [9.2K]

Answer:

a) Sample mean: 48.71

Sample median: 48.3

Sample variance: 5.41

Sample standard deviation: 2.37

Step-by-step explanation:

a) Sample mean:

\bar{X}=\frac{1}{N} \sum X_i=\frac{1}{80}*3896.9=48.71

Sample median: M=48.3

Note: I order the data increasingly and take the value N / 2 = 40. In this way there are 39 values above and 39 values below the median.

Sample variance:

s^2=\frac{1}{N-1}\sum (X_i-\bar X)^2 =(\frac{1}{80-1})*427.74=5.41

Sample standard deviation

s=\sqrt{s^2}=\sqrt{5.41}=2.37

b)

5 0
3 years ago
796 sixth- eighth graders at CMS passed all classes for Q1 and get to be in Study Hall. If 80% of the CMS students are in Study
Hatshy [7]
I’ve found out that 80% of 796 is 636.8 and 20% of 796 is 159.2. i don’t know what else to do i’m sorry.
3 0
3 years ago
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