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1 year ago

The probability of a car sold is white is 0.12

Mathematics

1 answer:

Mama L [17]1 year ago

8 0

Answer:

Step-by-step explanation:

Black = 200 x 0.19 = 38

White = 200 x 0.12 = 24

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A bakery wants to determine how many trays of doughnuts it should prepare each day. Demand is normal with a mean of 5 trays and

Alexeev081 [22]

Answer:

4 trays should he prepared, if the owner wants a service level of at least 95%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5

Standard Deviation, σ = 1

We are given that the distribution of demand score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X > x) = 0.95

We have to find the value of x such that the probability is 0.95

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 5}{1})=0.95$

$= 1 -P( z \leq \displaystyle\frac{x - 5}{1})=0.95$

$=P( z \leq \displaystyle\frac{x - 5}{1})=0.05$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 5}{1} = -1.645\\x = 3.355 \approx 4$

Hence, 4 trays should he prepared, if the owner wants a service level of at least 95%.

3 0

2 years ago

What is the difference?

worty [1.4K]

Answer:

4th option

Step-by-step explanation:

Given

$\frac{x}{x^2+3x+2}$ - $\frac{1}{(x+2)(x+1)}$ ← expand denominator using FOIL

= $\frac{x}{x^2+3x+2}$ - $\frac{1}{x^2+3x+2}$

Since the denominators are common, then subtract the numerators

= $\frac{x-1}{x^2+3x+2}$

5 0

2 years ago

If a tree 41.8 feet tall casts a shadow that is 27 feet long, find the height of a tree casting a shadow that is 18.3 feet long

Neko [114]

Answer:

28.3 feet

Step-by-step explanation:

Given a tree 41.8 feet tall casts a shadow that is 27 feet long

So the Tangent of the angle of the sahdow remains the same for the both trees.

We know that $Tanx=\frac{height of the tree}{length of the shadow}$

$\frac{height of the tree1}{length of the shadow1} = \frac{height of the tree2}{length of the shadow2}$

$\frac{41.8}{27} =\frac{x}{18.3}$

$x=\frac{41.8}{27}\times18.3 =28.3$

Therefore the height of the tree is 28.3 feet

6 0

2 years ago

A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the

dem82 [27]

Answer: 320°

Step-by-step explanation:

This is a circle geometry.

The arc length of the circle is given to be 8πcm and the radius is 4.5cm.

Now the length of an arc of a circle is

Arc length = πr0°/180° or 2πr0°/360°

To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go

πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.

πr0° = 8π × 180

0°. = 8π × 180

-----------

π × r

= 8 × 180. 8 × 180

-------- or ---------

9/2. 4.5

= 8 × 180 × 2

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

= 8 × 20 × 2

= 320°

or 8 × 180/4.5

= 1440/4.5

= 320°

4 0

2 years ago

Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50μm2. Convert this

galben [10]

1 m = 1 x 10⁶ μm
1 m² = (1 x 10⁶)² μm²
1 m² = 1 x 10¹² μm²

area = 1.5 / 1 x 10¹² m²
Area = 1.5 x 10⁻¹² m²

7 0

2 years ago