Describe how to find the least common multiple of three numbers. Give an example

Name the intersection of the planes ACE and CDF.

Lynna [10]

Based in your question where as the figure shows the intersection of the planes ACE and CDF and the ask is to name that intersections.Base on my calculation and through step by step procedure and with the guidance of the theories and by the use of formulas, I came up with an answer of the intersection of the two planes is the line CE

7 0

2 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviat

nexus9112 [7]

Answer:

Two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

Step-by-step explanation:

We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviation of 0.07 millimeters.

Let X = diameters of bolts produced in a machine shop

So, X ~ N( $\mu=5.65,\sigma^{2} = 0.07^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean

$\sigma$ = standard deviation

Now, we have to find the two diameters that separate the top 4% and the bottom 4%.

Firstly, Probability that the diameter separate the top 4% is given by;

P(X > x) = 0.04

P( $\frac{X-\mu}{\sigma}$ > $\frac{x-5.65}{0.07}$ ) = 0.04

P(Z > $\frac{x-5.65}{0.07}$ ) = 0.04

So, the critical value of x in z table which separate the top 4% is given as 1.7507, which means;

$\frac{x-5.65}{0.07}$ = 1.7507

$x-5.65 = 0.07 \times 1.7507$

$x$ = 5.65 + 0.122549 = 5.77

Secondly, Probability that the diameter separate the bottom 4% is given by;

P(X < x) = 0.04

P( $\frac{X-\mu}{\sigma}$ < $\frac{x-5.65}{0.07}$ ) = 0.04

P(Z < $\frac{x-5.65}{0.07}$ ) = 0.04

So, the critical value of x in z table which separate the bottom 4% is given as -1.7507, which means;

$\frac{x-5.65}{0.07}$ = -1.7507

$x-5.65 = 0.07 \times (-1.7507)$

$x$ = 5.65 - 0.122549 = 5.53

Therefore, the two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

4 0

2 years ago

Need help dont know how to do it need explanation aswell

nasty-shy [4]

CA: -a+a

AB: b+a

BC: -a+b or b-a

4 0

2 years ago

Which number line best models the expression 3 divided by 1/3?

e-lub [12.9K]

Answer:

3 (divided by sign) 1/3

Step-by-step explanation:

7 0

2 years ago

An art museum received a collection of 92 African American paintings. The museum can display 40 of the paintings on the first fl

Ierofanga [76]

Answer: About 43% of the paintings are displayed on the first floor.

Step-by-step explanation: For this problem we can use a percent equation to solve for p, the percent of paintings that will be displayed on the first floor.

Lets write the percent equation:

40/92 = p/100 (We basically are finding 40 out of 92 paintings is what percent of the total paintings.

40/92 x 100 = p/100 x 100 (We always multiply both sides by 100 when dealing with percent that are out of a whole, or 100.)

40 x 100 = 4000/92 = ABOUT 43. p/100 x 100 = p.

About 43 = p

So about 43% of the paintings are displayed on the first floor.

4 0

2 years ago