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3 years ago

Please help i do not understand this question!

Mathematics

1 answer:

andreev551 [17]3 years ago

8 0

Answer:

Distributive property

Step-by-step explanation:

The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.

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Solving a right triangle (ROUND TO THE NEAREST TENTH)

Kay [80]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for B

B = 180° - (90 + 40)° = 180° - 130° = 150°

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

sin40° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{21}$

Multiply both sides by 21

21 × sin40° = a, thus

a ≈ 13.5 ( to the nearest tenth )

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

cos40° = $\frac{adjacent}{hypotenuse}$ = $\frac{b}{21}$

Multiply both sides by 21

21 × cos40° = b, thus

b ≈ 16.1 ( to the nearest tenth )

3 0

4 years ago

The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code read

Firlakuza [10]

Answer:

The mean and standard deviation changed to 23.5 and 14.62 respectively, based on all 12 samples.

Step-by-step explanation:

We are given that the Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.

Representing the data in tabular form;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 20.5 = 15.5 240.25

14 14 - 20.5 = -6.5 42.25

21 21 - 20.5 = 0.5 0.25

39 39 - 20.5 = 18.5 342.25

11 11 - 20.5 = -9.5 90.25

2 2 - 20.5 = -18.5 342.25

Total 1057.5

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2}{6}$

= $\frac{123}{6}$ = 20.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{1057.5 }{6-1} }$ = 14.54

Now, the manager has six more samples taken:

33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each

So, the modified table would be;

X $X - \bar X$ $(X - \bar X)^{2}$

36 36 - 23.5 = 12.5 156.25

14 14 - 23.5 = -9.5 90.25

21 21 - 23.5 = -2.5 6.25

39 39 - 23.5 = 15.5 240.25

11 11 - 23.5 = -12.5 156.25

2 2 - 23.5 = -21.5 462.25

33 33 - 23.5 = 9.5 90.25

45 45 - 23.5 = 21.5 462.25

34 34 - 23.5 = 10.5 110.25

17 17 - 23.5 = -6.5 42.25

1 1 - 23.5 = -22.5 506.25

29 29 - 23.5 = 5.5 30.25

Total 2353

Now, the mean of these value is given by;

Mean, $\bar X$ = $\frac{\sum X}{n}$

= $\frac{36+14+21+39+11+2+33+45+34+17+1+29}{12}$

= $\frac{282}{12}$ = 23.5

Standard deviation formula for discrete distribution is given by;

Standard deviation, $\sigma$ = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{2353 }{12-1} }$ = 14.62

7 0

3 years ago

9. Find the value of x. (look at the picture)

Thepotemich [5.8K]

Answer:

use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).

Step-by-step explanation:

3 0

3 years ago

Solve the equation. 1/2x+1/2x=x+1 What is the solution?

Marizza181 [45]

Answer:

Since 0 ≠ 1, there are no solutions.

No solution

Step-by-step explanation:

7 0

4 years ago

Factorize 1) x²-4y² 2) 27-8y³

HACTEHA [7]

you cant factorise both of them as they have nothing in common

8 0

3 years ago