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3 years ago

Find the value of x in each case:

Mathematics

1 answer:

kipiarov [429]3 years ago

5 0

X = 69o
2x + 42 = 180
=> x = 69

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Let f(x)=15/(1+4e)^(-0.2x)<br><br> What is the y-intercept of the graph of f(x) ?

sergejj [24]

That means when x=0
e^-0.2x =e^0=1
So f(0)=15/5=3

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3 years ago

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The measure of an angle is 49Â°. what is the measure of a complementary angle?

liberstina [14]

The other one is 90 minus 49 or 41 degrees

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3 years ago

Jimmy purchased a package of jelly beans that contained 75 jellybeans. Out of the 75 jellybeans, 8 are pink, 17 are orange, 22 a

Luba_88 [7]

Find completion to question in comment section.

Answer:

D. One of the jellybeans that slipped out was orange and one was black

Step-by-step explanation:

We calculate the option with the highest probability of occurrence :

Total number of jellybean = 75

n(T) =75

n(Pink) = 8

n(red) = 22

n(Orange) = 17

n(green) = 8

n(white) = 6

n(black) = 4

We assume that the jelly beans must have slipped out one after the other.

Evaluating the options :

A.)

P(pink) and P(white)

8/75 * 6/74 = 0.0086486

B.)

P(green) and P(green)

8/75 * 7/74 = 0.0100900

C.)

P(white) and P(white)

6/75 * 5/74 = 0.0054054

D.)

P(orange) and P(black)

17/75 * 4/74 = 0.0122522

From the probability values obtained, the highest is D. Hence, the most likely to have occurred is One of the jellybeans that slipped out was orange and one was black

5 0

3 years ago

Please please please help. thank you.

djverab [1.8K]

Lets get started :)

The First question:
Diameter = 20 ft
Radius = $\frac{1}{2}$ of 20 (diameter) = 20 ft

Area formula of a circle is
A = $\pi$ r²
= $\pi$ (10)²
=100 $\pi$ ft²
≈ 314 ft²

The answer will be the second option

The Second question:
radius of circle = 12mm divided into 20 sectors area

A = $\pi$ r²
= $\pi$ (12)²
= 144 $\pi$ ft²

Divide into 20 equal sector areas = $\frac{144 \pi }{20} = 7.2 \pi$

≈ 22.6 mm²

Your answer will be the third option

The Third Question:

90°, sector area = 36 $\pi$ , Radius = ?

$\frac{angle}{360} = \frac{sector}{ \pi (r)^2}$
$\frac{90}{360} = \frac{36 \pi }{ \pi r^2}$
$\pi$ and $\pi$ cancels out

We can now cross multiply
360 × 36 = 90r²
12960 = 90r²

Divide by 90 on either side

$\frac{12960}{90} = \frac{90r^2}{90}$
144 = r²

Take squareroot
$\sqrt{144} = x$
x = 12 in

Your answer will be the third option

4 0

3 years ago

25 points and if possible brainiest if correct.

vampirchik [111]

Answer:

Step-by-step explanation:

4 0

3 years ago