Suppose a and b are independent events. If l(a) =0.8 and p(b) =0.85 what is p(a and b)

Answer:

True

Step-by-step explanation:

False. A trapezoid has one pair of parallel sides, not two pairs.

A trapezoid has only one pair of parallel sides.

The definition of a trapezoid states that it is a quadrilateral with exactly one pair of parallel sides.

The non-parallel sides of a trapezoid are called legs, and the parallel sides are referred to as the bases.

So, a trapezoid can have two pairs of sides that are parallel to each other, but only one of those pairs is considered as the bases.

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True or False: A trapezoid has two pairs of parallel sides. Explain your answer.

Answer:

45

Step-by-step explanation:

180 in a triangle,

110 + 25 = 135

add on 45 = 180

Answer:

Lateral surface area of cone = π(3)(5)

Lateral surface area of cone = 47.1 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of cone = 3 unit

Height of cone = 4 unit

Find:

Lateral surface area of cone

Computation:

Slant height of cone = √Radius² + Height²

Slant height of cone = √3² + 4²

Slant height of cone = √9 + 16

Slant height of cone = √25

Slant height of cone = 5 unit

Lateral surface area of cone = πrl

Lateral surface area of cone = π(3)(5)

Lateral surface area of cone = (3.14)(15)

Lateral surface area of cone = 47.1 unit² (Approx.)

Answer:

The answers are shell tooth bone

Step-by-step explanation:

Answer:

footprint, shell,

Step-by-step explanation:

trace fossils are non physical fossils. since shells are imprints instead of actual shell fossils, shell and footprint is the correct answer

3)

26 + ( 3x + 1 ) = 180

27 + 3x = 180

3x = 180 - 27

3x = 153

x = 153/3

x = 51

___________________

4)

( 4x + 1 ) + ( 3x + 4 ) = 180

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/5

x = 25

Answer:

3) [tex]x=51[/tex]

4)[tex]x=25[/tex]

Step-by-step explanation:

[tex]3) ~ 3x+1+26=180\\ \\ ~ (linear ~pair)[/tex]

[tex]3x+27=180\\~ ~ -27 ~ ~-27[/tex]

[tex]subtract ~ -27 ~ from ~ both ~ sides[/tex]

[tex]\frac{3x}{3} =\frac{153}{3}[/tex]

[tex]x=51[/tex]

--------------------------

[tex]4)~ 4x+1+4+3x=180[/tex]

[tex]7x=180-5[/tex]

[tex]x=\frac{175}{7}[/tex]

[tex]x=25[/tex]

----------------------------

hope it helps...

have a great day!!

Answer:

x = 2

Step-by-step explanation:

x^3 = 8

(2)^3 = 8

2 * 2 * 2 = 8

x = 2

Answer:

the value of x is 2

hope it helps

I'm pretty sure its just the last 3

Answer:

$10

Step-by-step explanation:

Step-by-step explanation:

I think it is 20 to represent 2000 and and 10 to represent 1999 can you see that they are marching in an order 10 20 30 40 50 60 but if I'm wrong please tell me this is just a cooked method I think it is $20 hope it helps.

1454.13 ( the 3 is infinite) mm^3

Step-by-step explanation:

1/3 × 13.3 × 16 × 20.5 = 1454.13 ( the 3 is infinite, I don't know how to put a line over a number on here)

I hope this helps, have a good day!

Answer:

The ira will contain $228,278.05 when he retires at age 65. This is 6.04 times the amount of money he deposited.

Step-by-step explanation:

In order to solve this problem, we can make use of the following formula:

[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]

Where:

FV= Future value of the ira

PMT= the amount of money you deposit each month

i= is the interest rate per period

n=number of periods

in this case we will assume the interest will be compounded each month.

So:

FV this is what we need to know.

PMT= $75  the amount he will deposit each month

t = 42 years,

this is 65-23=42

n=42 years * 12 months/year = 504 months

i=0.07/12

So we can now use the given formula:

[tex]FV=PMT[\frac{(1+i)^{n}-1}{i}][/tex]

[tex]FV=75[\frac{(1+\frac{0.07}{12})^{504}-1}{\frac{0.07}{12}}][/tex]

So we get:

FV=$228,278.05

which is the amount of money he will have after 42 years.

In total, he deposited:

$75*504months = $37,800

so he will have:

[tex]\frac{228,278.05}{37,800}=6.04[/tex] times the amount of money he deposited throughout this time.

Answer:

B

Step-by-step explanation:

I'm pretty sure it's because it tells you the rate of each year it depreciates. Let me know if it's right or wrong.

Answer:

44 cents

Step-by-step explanation:

First we need to find out how much per inch so do 84 divided by 21 which is 4 then get the closest to the number 47 which is 44 so 4x11=44 cents I'm not sure if it's right tho

Answer:

[tex] {x}^{3} = 10 \\ x = \sqrt[3]{10} [/tex]

Answer:

2.1544 units

Step-by-step explanation:

This side length can be found by finding the third root of the cube:

side length = {10 units^3}^{1/3)  = 2.1544 units

Note:  as a check we can cube this result:  2.1544^3 = 10

Answer:

5m

Step-by-step explanation:

Calculamos usando la fórmula de la proporción

Sombra / Altura

Deje que la altura de la luz de la calle = x

1,4 m / 1,75 m = 4 m / x

Multiplicar cruzada

1,4 × x = 1,75 × 4

Dividir ambos lados por 1.4

x = 1,75 × 4 / 1,4

x = 5

Por lo tanto, la altura de la farola es de 5 m.

To get this answer, we'll use the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(35) = b/c

cos(35) = b/280

280*cos(35) = b

b = 280*cos(35)

b = 229.362572400918

b = 229

When you use your calculator, make sure it's in degree mode.

Answer:

need more information

Step-by-step explanation:

all you told us is what's happening in this picture. that's why you cant get help.

Answer: how high off the ground was the ball when it was thrown

Step-by-step explanation:

Answer:Ans :RuiFeng 18 yrs, Raj 9 yrs, Khairul 11 yrs

Step-by-step explanation:

Answer:

Maybe the 20-x/20 part is wrong. Maybe it's 10-x/10?

Step-by-step explanation:

I'm sorry I dont really know so I hope this helps you!

Answer:

y = 0.20m + 10, 100 minutes

Step-by-step explanation:

Equation: y = mx + b

Fill it in.

m = slope = 0.20

b = y-intercept = 10

y = 0.20x + 10 (They wanted the variable to be m. So, changing that.)

y = 0.20m + 10

Fill in.

30 = 0.20m + 10

Solve.

20 = 0.20m

100 = m

She was on the phone for 100 minutes.

Answer:

x = 4.4

Step-by-step explanation:

I'm going to assume you want to solve for x so here we go.

You need to work backwards for this equation, and whatever you do to the LHS, you do to the RHS.

First, you need to remove the minus 3, which means that on both sides, you add 3. Adding three on the LHS makes the -3 disappear, and adding 3 on the RHS makes the 19 go to a 22.

Your equation is now 5x=22.

Since 5x means 5 × x, to get rid of it, you need to divide 5x by 5. Doing it to the LHS will make the five disappear, and doing it to the RHS will make it go to 22 ÷ 5 which equals 4.4

Therefore, x = 4.4

Answer:

mean is 63 median is 68 and range is 44

Answer:

6, 3.5.

Step-by-step explanation:

Start with the 12 foot measurement. 1 inch of the drawing represents 2 feet, so divide 12 feet by 2 to find out how many inches represent 12 feet. 12/2 is 6. Do the same with the 7 foot measurement. 7/2 is 3.5, so the drawing of the 7 foot side will be 3.5 inches.

Answer:

D

Step-by-step explanation:

The two angles are equal to 180 degrees