A particular fruit's weights are normally distributed, with a mean of 372 grams and a standard deviation of 26 grams. If you pick 36 fruit at random, what is the probability that their mean weight will be between 365 grams and 380 grams

Answer:

[tex] x = \dfrac{3}{2} [/tex]

Step-by-step explanation:

x^2-3x+9/4 =0​

Multiply both sides by 4 to get rid of the fraction.

4x^2 - 12x + 9 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(4)(9)}}{2(4)} [/tex]

[tex] x = \dfrac{12 \pm \sqrt{144 - 144}}{8} [/tex]

[tex] x = \dfrac{12}{8} [/tex]

[tex] x = \dfrac{3}{2} [/tex]

Answer:

[tex]\mathbf{\mu_S = 12 }[/tex]; [tex]\text{Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]

Step-by-step explanation:

Given that:

The mean [tex]\mu_X = 5[/tex]

The mean [tex]\mu_Y = 7[/tex]

Where;

[tex]S= X+ Y[/tex]

[tex]\mu_S = \mu _X + \mu_Y \\ \\ \mu_S = 5+7 \\ \\ \mu_S = 12[/tex]

Thus;

[tex]\mathbf{\mu_S = 12 }[/tex];[tex]\text{ Elroy can expect to roller skate and weight train, on average, 12 }[/tex][tex]\text{hours in a typical week.}[/tex]

Answer:

C ♡♡

Step-by-step explanation:

jus took the quiz !!!

Answer:

The triangle has an angle of 90º.

Answer:

Try this: (2,6)

x=2, y=6

Step-by-step explanation:

Answer:

i belive it is (-2,-6)

Answer:

22 feet below sea level

Step-by-step explanation:

she kept going down, basically in a negative way. adding to the already below sea level

Answer:

the answer is 3

Step-by-step explanation:

the two lowest of the plot is 1 and 1 1/2 the most is 5 1/2 make it an improper fraction and 11/2 minus 5/2 is 6/2 simplify the answer is 3

Answer:

just carrie the 2 and box up rh2-4 then you would get the answer I'm smart as f

Answer:

8000 cubes

Step-by-step explanation:

Given that 1KL is 1 Kilo liters

Then conversion of 1KL to cm³ => 1,000,000 cm³

Therefore, since we have a cube to be 125 cm³

Hence, to find the number of cubes of ice blocks that would make 1KL

We divide 1,000,000 cm³ from 125 cm³

=> 1,000,000 ÷ 125

=> 8,000

Therefore, the correct answer is 8,000 cubes

Answer:

It's answer is A. 557 square feet

Step-by-step explanation:

Area of semi circle

= 1/2 * π * r²

= 1/2 * 3.14 * 10²

= 157 square feet

Area of square

= 20²

= 400 square feet

Now

Total area

= 400 + 157

= 557 square feet.

Hope it will help :)❤

Answer:

x = 45

Step-by-step explanation:

In isosceles triangles (a triangle where two sides are equal), the two base angles are congruent.

The sum of angles in a triangle is 180°.

In this problem, x is a base angle, so the other base angle is equal to x.

So, adding up all the measures of the angles in this triangle,

90 + x + x = 180

Simplify.

2x + 90 = 180

Substract 90 from both sides

2x = 90

Divide both sides by 2

x = 45

Answer:

Step-by-step explanation:

volume of cylinder = πr²h = 3.14·2²·5 = 62.8 cm³

volume of cone = ⅓πr²h = ⅓·62.8 ≅ 20.9 cm³

The volume of the cone is 10.5 cm³. The volume of the cylinder is 31.4 cm³

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius

h = height

1/3 x 3.14 x 5 x 2 = 10.5 cm³

Volume of the cylinder = nr^2h

3.14 x 5 x 2 = 31.4 cm

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125

Answer:

m <1 = 64

m<2= 26

Step-by-step explanation:

the angle is 90 degree

therefore, <1 + <2 = 90

(x+51) + (2x) = 90

3x +51 = 90

3x = 39

x = 13

Answer:

C

Step-by-step explanation:

all points on the line of the equation y = 1 will have the number 1 as the y-value in each ordered pair

y = 1 is a horizontal line which intersects the y-axis at (0, 1)

Answer:

for x = 0, y = 0

for x = 1, y = 6

for x = 2, y = 12

for x = 3, y = 18

Step-by-step explanation:

y = 6x, the general equation is given, what you need to do is simply substitute the corresponding value of X into the equation.

for x = 0, y = 0

for x = 1, y = 6

for x = 2, y = 12

for x = 3, y = 18

Answer:

Step-by-step explanation:

x=0, y=0

x=1, y=6

x=2, y=12

x=3, y=18

Just multiply

Answer:

i really dont know sorry lil buddy

Step-by-step explanation

Answer:

$1,105.08.

Step-by-step explanation:

Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:

X = 1,000 (1 + 0.02 / 12) ^ 5x12

X = 1,105.08

Thus, the amount of money in her account after 5 years would be $ 1,105.08.

so 48 have gold and 48 is half of the good watches then there is 96 good watches and that's 3/4 of all the watches so the answer would be

128 watches in total

Answer:

20

Step-by-step explanation:

12 / 3/5

12 / 0.6

20

Answer:

12 divided by 3/5 = 20

Answer:

7,7,15

Step-by-step explanation:

Because the summation of two sides should be greater than the other one

Answer:

one sec

Line that is parallel:

Step-by-step explanation:

Answer:

BC = 36 ≅ (AQ+QD)

Step-by-step explanation:

1. Identify potential angles

∠Q≅90˚ so ∠B = 60˚ + 60˚ and ∠C = 30˚+30˚

2. Two isosoceles triangle

18=AB=AQ

18=CD=DQ

3. BC = AQ+QD

BC = 18+18

BC = 36

Answer:

4

Step-by-step explanation:

Answer:

2/5 OR 40%

Step-by-step explanation:

There are 2 even numbers - 2 & 4.

3 odd numbers - 1, 3, & 5.

5 numbers total.

2 / 5 = 40 %

Hope that helps! :)

Answer:

Step-by-step explanation:

x^2 - 4x + 20 = 0

x^2 - 4x = -20

x^2 = 4x - 20

x = 2x - 4.47

-3x = -4.47

x = roughly 1.5

Answer: (x-2)2

Step-by-step explanation:

The required equation is  [tex]y=(x-2)^2[/tex]

The correct answer is an option (C)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

We have been given four equations.

We need to find an equation for which y is always greater than or equal

to -1.

Consider,

A. y = ∣x∣ - 2

We know that the minimum value of ∣x∣ is 0.

So, the minimum value of y becomes -2

Hence, this is not a required equation.

B. [tex]y=x^{2} -2[/tex]

We know that the square of any number is always positive.

The minimum value of [tex]x^{2}[/tex] is 0.

So, the minimum value of y becomes −2

Hence, this is not a required equation.

C. [tex]y=(x-2)^2[/tex]

We know that the square of any number is always positive.

The minimum value of y is zero.

This means, the y value of equation  [tex]y=(x-2)^2[/tex] is always greater than -1.

D. [tex]y=x^3-2[/tex]

We know that [tex]x^3[/tex] can go have negative values. This means it may have value that tends to negative infinity.

This means, the y can be less than -1 and this is not a required equation.

Therefore, the required equation is  [tex]y=(x-2)^2[/tex]

The correct answer is an option (C)

Learn more about the equation here:

https://brainly.com/question/13170101

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Answer:

4/7=116/203

Step-by-step explanation:

Answer:

(3/5) × 6  

1/10

Step-by-step explanation: