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gulaghasi [49]
3 years ago
14

How many sides does a regular polygon have if each of its interior angles measures 174°

Mathematics
1 answer:
Tasya [4]3 years ago
3 0

Answer:

60 sides

Step-by-step explanation:

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PLEASE HELP! I will give you the brainiest and A LOT of points! (Ch.5.3)
JulsSmile [24]

Step-by-step explanation:

Total distance covered=distance covered by walking+distance covered by jogging

=6/7+4/5=30+28/35

=58/35miles

How much farther did you walk than jog

=6/7-4/5

=30-28/35

=2/35miles

3 0
2 years ago
In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A
vredina [299]

Answer:

c) P(270≤x≤280)=0.572

d) P(x=280)=0.091

Step-by-step explanation:

The population of bearings have a proportion p=0.90 of satisfactory thickness.

The shipments will be treated as random samples, of size n=500, taken out of the population of bearings.

As the sample size is big, we will model the amount of satisfactory bearings per shipment as a normally distributed variable (if the sample was small, a binomial distirbution would be more precise and appropiate).

The mean of this distribution will be:

\mu_s=np=500*0.90=450

The standard deviation will be:

\sigma_s=\sqrt{np(1-p)}=\sqrt{500*0.90*0.10}=\sqrt{45}=6.7

We can calculate the probability that a shipment is acceptable (at least 440 bearings meet the specification) calculating the z-score for X=440 and then the probability of this z-score:

z=(x-\mu_s)/\sigma_s=(440-450)/6.7=-10/6.7=-1.49\\\\P(z>-1.49)=0.932

Now, we have to create a new sampling distribution for the shipments. The size is n=300 and p=0.932.

The mean of this sampling distribution is:

\mu=np=300*0.932=279.6

The standard deviation will be:

\sigma=\sqrt{np(1-p)}=\sqrt{300*0.932*0.068}=\sqrt{19}=4.36

c) The probability that between 270 and 280 out of 300 shipments are acceptable can be calculated with the z-score and using the continuity factor, as this is modeled as a continuos variable:

P(270\leq x\leq280)=P(269.5

d) The probability that 280 out of 300 shipments are acceptable can be calculated using again the continuity factor correction:

P(X=280)=P(279.5

8 0
3 years ago
Twice the difference of a number and 2 is equal to three times the sum of the number and 3. Find the number. The number is nothi
trasher [3.6K]

The number is -13.

In order to find this, we first need to make each part of the statement into a mathematical statement.

Twice the difference of a number and 2.

2(x - 2)

Three times the sum of the number and 3

3(x + 3)

Now we can set them equal to each other and solve.

2(x - 2) = 3(x + 3) ----> Distribute

2x - 4 = 3x + 9 ------> Subtract 2x from both sides

-4 = x + 9 -----> Subtract 9 from both sides

-13 = x

3 0
3 years ago
What is the general form to find square roots
Effectus [21]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Square roots are usually in the form a√b where a and b are any rational number.

4 0
3 years ago
Which statements are always true regarding the diagram? Select three options.
Maurinko [17]
Find : Which statements are always true regarding the triangle
m∠5 + m∠3 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Solution:
External angle of triangle = Sum of opposite interior angles
m∠1 = m ∠3 + m∠5
m∠4 = m ∠2 + m∠5
m∠6 = m ∠2 + m∠3
4 0
3 years ago
Read 2 more answers
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