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3 years ago

Given that p(b|a)=0.75 and p(a)=0.35, what is p(b and a)

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

Answer:

1.0125

Step-by-step explanation:

Since b/a is 0.75 and a is given as 0.35

Then let's start by solving for b

Ok...how

b/a=0.75

a=0.35

Then make b the subject of formula

b=0.75×a

Then substitute the value of a

b=0.75×0.35

b=0.2625

Let's continue

b and a means b + a

0.75+0.2625

1.0125

Therefore the final answer is 1.0125

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An arithmetic sequence begins as follows: a1=13 a2=19 Which of the following gives the definition of its nth term?

Otrada [13]

Answer:

the nth term of the sequence is $a_n=6n+7$

Step-by-step explanation:

Given : An arithmetic sequence begins as follows: $a_1=13, a_2=19$

To find : Which of the following gives the definition of its nth term?

Solution :

The nth term of the A.P is $a_n=a+(n-1)d$

The first term is $a=a_1=13$

The common difference is $d=a_2-a_1$

$d=19-13=6$

Substitute in the formula,

$a_n=13+(n-1)6$

$a_n=13+6n-6$

$a_n=6n+7$

Therefore, the nth term of the sequence is $a_n=6n+7$

5 0

3 years ago

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stepan [7]

Answer:

Between 80 and 160

Step-by-step explanation:

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6 0

2 years ago

Find the volume of the sphere. Round to the nearest tenth, if necessary. (Use π = 3.14)

ankoles [38]

Steps:

Shape: Sphere

Solved for volume

Radius: 3

Formula: V=4 /3πr3

1: know the height. We don't have to round to the nearest tenth. The correct answer for this question is 113.0.

Answer: 113.0

Please mark brainliest

Hope this helps.

6 0

3 years ago

A triangular pyramid has a base with an area of 43 cm squared and lateral faces with bases of 10 cm and heights of 8.6 cm. What

Jet001 [13]

Answer:

The total surface area of triangular pyramid is 172 cm squared

Step-by-step explanation:

Triangular pyramid:

Number of faces 4.
Number of vertices of a triangular pyramid is 6.
The volume is $\frac13 AH$ . A= area of the pyramid's base and H= height of the pyramid.

The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.

Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.

The 3 sides of the triangular pyramid is triangle in shape.

The area of triangle is $\frac12 \times base \times height$ .

The lateral surface area of the triangular pyramid is

$=3(\frac12 \times base \times height)$

$=3(\frac12\times 10\times8.6)$ cm squared

=129 cm squared

The total surface area of triangular pyramid is

=Area of the base + lateral surface area

=(43+129) cm squared

=172 cm squared

8 0

3 years ago

What is the lmc of 3 and 7

igor_vitrenko [27]

Answer:

Step-by-step explanation:

3 times 7 is 21

7 times 2 is 14 and 3 doesn't go into that!

7 times 1 is 7 and 3 doesn't go into that either!

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4 0

3 years ago