Can somebody help with question 5.

Answer:

c

Step-by-step explanation:

Given:

[tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex].

To find:

The value of [tex]P(A\cup B)[/tex], rounding to the nearest thousandth.

Solution:

We know that,

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

On substituting [tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex], we get

[tex]P(A\cup B)=0.44+0.6-0.394[/tex]

[tex]P(A\cup B)=0.646[/tex]

Therefore, the value of [tex]P(A\cup B)[/tex] is 0.646.

Answer:

In some circumstances these displays may allow the female to observe the performance of males and to evaluate them as potential mates. To elicit displays from a group of males, a female Mallard may swim with her neck outstretched and her head just above the water

Step-by-step explanation:

hope this helps

Answer:

AED is also 74

Step-by-step explanation:

they share the same crossing lines

Answer: 74

Step-by-step explanation:

Answer:

[tex]slope = \dfrac{-2}{5}[/tex]

Step-by-step explanation:

The slope of a line passing through points , [tex] (x_1,y_1) [/tex] and [tex] (x_2,y_2) [/tex] is ,

[tex]\implies slope = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\implies slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\implies slope = \dfrac{-5+3}{3+2}\\\\\implies \boxed{\boxed{slope = \dfrac{-2}{5}}}[/tex]

Answer:

sinple interest= principle*rate*time/100

SI= 2400*3*1.5/100

SI= 108

AMOUNT= SI + PRICIOLE

AMOUNT= 108+2400

AMOUNT= 2508

{ I converted 18 months to 1.5 years}

Answer:

........................................

Answer:

[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex]

Step-by-step explanation:

The parameters of the angle θ₁ are;

The location of θ₁ = Quadrant II

cos(θ₁) = -22/29

We note the following;

1) The sine of an angle in quadrant II is positive

2) The cosine of an angle in quadrant II is negative,

2) The cos of an angle = The adjacent leg length to the reference angle divided by the hypotenuse length of a right triangle

3) With regards to the right triangle for finding cos(θ₁)

The adjacent leg length = -22 (The x-axis is negative in quadrant II)

The hypotenuse length = 29

The negative sign is obtained from the value of cosine in the quadrant

Therefore, by Pythagoras' theorem, for a right triangle, we have;

The opposite leg length to 'θ₁' = √(29² - 22²) = √(357)

[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

Therefore, we have;

[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex].

Answer:

$620 every year

Step-by-step explanation:

Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.

Answer:

A

Step-by-step explanation:

basically b = square root x times c

b= x

x= 2

c= 2+7 or the full length

Answer:

Step-by-step explanation:

For Number one: -xy + 2x = 20, x = 5

To solve this, all we need to do is plugin 5 for every place we have x. So...

- (5)y + 2(5) = 20

-5y + 10 = 20

-5y = 10

y = -2

For number two: 4x - 3y - 10 = 1, x = -1

To solve this, we need to plugin -1 for all of the x variables. So...

4 (-1) - 3y - 10 = 1

-4 - 3y - 10 = 1

-14 - 3y = 1

-3y = 15

y = -5

For number three: 5x + 7y = -1, x = 4

We need to plugin -4 for all of the x variables. So...

5 (4) + 7y = -1

20 + 7y = -1

7y = -21

y = -3

For number four: x = 6 + xy, x = -3

Same as the other ones, just plugin -3 for all of the x variables. So...

-3 = 6 + (-3)y

-3 = 6 - 3y

-9 = -3y

3 = y

I hope this helps :)

Answer:

The perimeter is 206.

Step-by-step explanation:

When given the area, height and side of the parallelogram, you would use the formula to find the perimeter: P=2a+2*A /h. a = side of the parallelogram, A = area, and h = height. When you plug in everything, you will get 206.

Answer:

true

Step-by-step explanation:

the first number is mostly known as 1 but actually is 0 because it is a separation between the negative and positive numbers

Answer:

got you right now

Step-by-step explanation:

the slope is -2\3

Answer:

Explanation:

The Sum Of x And 6: x + 6

Two Less Than Ten: 10 - 2

Answer:

I did what I can

Hope this helps :)

Answer: x=10 and angle RST is 75 degrees

Step-by-step explanation:

Answer:

it is parrell

Step-by-step explanation:

Answer:

$241,910.31

Step-by-step explanation:

Compound interest

125,000(1.045)^15

Also, Gal Gadot is the best!

Answer:

-4 and 1, the answer is C

Step-by-step explanation:

The arrow points at the lines, the trace the lines to the nearest numbers :)

Answer:

I’m not sure but I. Think it’s a I guess

Step-by-step explanation:

Answer:

A: 4/5

Step-by-step explanation:

The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.

So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

We have given that,

the unit rate for the proportional relationship is represented by the equation y=4/5x.

We have to determine the unit rate

The equation for proportionality is y = kx, where k is the constant of proportionality.

So in y = 4/5x,

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

To learn more about the proportionality visit:

https://brainly.com/question/24868934

#SPJ2

Answer:

A

Step-by-step explanation: add 15+12+7

if im write can i get a brainliest? plss:>

The band director can create a trio in 1,260 different ways.

Hence, option C is correct.

Use the concept of permutations,

The formula for permutations is,

⇒  [tex]^{n}P_{r}[/tex] = n! / (n - r)!

Where n is the total number of items and r is the number of items we are selecting.

So in this case, we have,

⇒  n = 15 clarinet players

⇒ n = 12 flute players

⇒ n = 7 saxophone players

⇒ r = 1 clarinet player,

1 flute player, and 1 saxophone player

To find the number of ways we can create a trio with one player from each instrument, we need to calculate,

⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])

⇒  ([tex]^{15}P_{1}[/tex])   = 15! / (15 - 1)!

                = 15! / 14!

                = 15  

This represents the number of ways we can choose one clarinet player out of 15.  

([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!

           = 12! / 11!

           = 12  

This represents the number of ways we can choose one flute player out of 12.

[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!

     = 7! / 6!

     = 7

This represents the number of ways we can choose one saxophone player out of 7.

So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,

⇒ 15 x 12 x 7 = 1,260

Therefore,

The band director can create a trio in 1,260 different ways.

To learn more about permutations visit:

https://brainly.com/question/14368656

#SPJ2

Answer:

2/3

Step-by-step explanation:

please mark this answer as brainliest

Answer:

[tex] \frac{4}{6} \\ = \frac{2}{3} \\ = 0.66[/tex]