The number of chocolate chip muffins that a baker makes each day is 30% of the total number of muffins she makes.

A rock concert promoter scheduled an outdoor concert on July 4th. If it does not rain, the promoter will make $30,427. If it doe

Zielflug [23.3K]

For the probability of rain on julty 4h of 0.5 his expected profit is 8885.5 dollars.

<h3>What is probability?</h3>

The probability is occurrence of a certain event out of the total number f events that can happen.

Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.

If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.

We know, the expected profit is,

= 0.5(30427) - 0.5(12656).

= 15213.5 - 6328.

= 8885.5 dollars.

learn more about probability here :

brainly.com/question/11234923

#SPJ1

8 0

1 year ago

Will mark brainlist:)

ella [17]

Answer:

The length of the missing side is 7 yards

Step-by-step explanation:

Simply subtract 9 from 16

16-9=7

The length of the missing side is 7 yards

Hope this helps! Plz award Brainliest : )

8 0

3 years ago

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a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

3 years ago

I am having a bit of a hard time solving this problem, it would be a pleasure if some one were to help me!

Llana [10]

I got 42.5 cuz 4x+10=180 then take away 10 from both sides so 4x=170 and you divide each side by 4

8 0

3 years ago

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1.

PolarNik [594]

Question 1:

5z – 9 = 36

5z = 45

z = $\frac{45}{5}$

z = 9

Hence, the answer is D.

Question 2:

5(2z + 4) = 0

10z + 20 = 0

10z = -20

z = $\frac{-20}{10}$

z = -2

Hence, the answer is A.

Question 3:

4a + 3(a + 1) = 24

4a + 3a + 3 = 24

7a = 21

a = $\frac{21}{7}$

a = 3

Hence, the answer is B.

Question 4:

3(4x + 5) = 12

12x + 15 = 12

12x = 12 - 15

12x = -3

x = $\frac{-3}{12} = - \frac{1}{4}$

Hence, the answer is A.

Question 5:

4x – 8 – 4x = 9

-8 ≠ 9

Hence, the answer is A.

8 0

3 years ago

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