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2 years ago

Dan divide a pie into eighths.how many equal parts are their

Mathematics

2 answers:

Oduvanchick [21]2 years ago

8 0

There are 8equal parts because each part is 1/8

cluponka [151]2 years ago

3 0

There are 8 equal parts. Each part is 1/8 of the whole 8/8

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Four points are labeled on the number line. P. Q. R. S. Which point represents the value of the absolute value of negative 1 ove

Lostsunrise [7]

Answer:

See Explanation

Step-by-step explanation:

Incomplete question, as the number line is not attached. However, the solution is as follows:

Let y be the absolute value of -1/2 So:

$y = |-\frac{1}{2}|$

The absolute sign removes all negation. So:

$y = \frac{1}{2}$

This means that the point at the label $\frac{1}{2}$ or $0.5$ is the solution to the question.

Take for instance, the attached image has point Q at $\frac{1}{2}$ .

Hence, Q is the absolute value of -1/2

5 0

2 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.755.75 millimeters and a standard de

svet-max [94.6K]

Let D be the random variable denoting the diameter of this shop's bolts, so that D is normally distributed with µ = 5.75 and σ = 0.07. The top 6% and bottom 6% of bolts have diameters d₁ and d₂ such that

P(d₁ < D < d₂) = P(D < d₂) - P(D < d₁) = 0.94 - 0.06

i.e. d₂ is the 94th percentile and d₁ is the 6th percentile, for which

P(D < d₂) = 0.94

P(D < d₁) = 0.06

Convert D to a random variable Z following the standard normal distribution using

Z = (D - µ) / σ

Then

P(D < d₂) = P((D - 5.75) / 0.07 < (d₂ - 5.75) / 0.07)

0.94 = P(Z < (d₂ - 5.75) / 0.07)

→ (d₂ - 5.75) / 0.07 ≈ 1.55477

→ d₂ ≈ 5.86

P(D < d₁) = P((D - 5.75) / 0.07 < (d₁ - 5.75) / 0.07)

0.06 = P(Z < (d₁ - 5.75) / 0.07)

→ (d₁ - 5.75) / 0.07 ≈ -1.55477

→ d₁ ≈ 5.64

So bolts with a diameter between 5.64 mm and 5.86 mm are acceptable.

4 0

2 years ago

You travel between these two mile markers and then find your average speed in miles per hour. Select the three equations that re

dmitriy555 [2]

Do you have answer choices?

6 0

2 years ago

Read 2 more answers

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.5,

Mazyrski [523]

A) the starting point is in quadrant Q because the x-value is negative, while the y-value is positive. The finishing point is in quadrant S because the x-value is positive, while the y-value is negative.
B) The points are connected by a straight line, so you don't have to wander off. By the way, the checkpoint is in Quadrant P.

3 0

2 years ago

What are the solutions of the equation (x – 3)2 + 2(x – 3) -8 = 0? Use u substitution to solve.

Andrej [43]

Answer:

x = -1 and x = 5

Step-by-step explanation:

What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.

(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)

To solve this problem, we will follow the steps below;

let u = x-3

we will replace x-3 by u in the given equation:

(x – 3)² + 2(x – 3) -8 = 0

u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)

We will now solve the above quadratic equation

find two numbers such that its product gives -8 and its sum gives 2

The two numbers are 4 and -2

That is; 4×-2 = -8 and 4+(-2) = 2

we will replace 2u by (4u -2u) in equation (2)

u² + 2u -8 = 0

u² + 4u - 2u -8 = 0

u(u+4) -2(u+4) = 0

(u+4)(u-2) = 0

Either u + 4 = 0

u = -4

u-2 = 0

u = 2

Either u = -4 or u = 2

But u = x-3

x = u +3

when u = -4

x = u + 3

x = -4 + 3

x=-1

when u = 2

x = u + 3

x = 2 + 3

x=5

Therefore, x = -1 and x =5

6 0

2 years ago