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3 years ago

Evaluate. 2 • {390 – [5 • (10 – 4 ÷ 2)] + 15} • 2

Mathematics

1 answer:

Marina CMI [18]3 years ago

3 0

If u are looking for the mean it would be 439
answer is 770

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Carlos performed a transformation on trapezoid EFGH to create E′F′G′H′, as shown in the figure below:

Nataliya [291]

Answer:

90° clockwise rotation or 270° anticlockwise rotation

Step-by-step explanation:

(x,y)=(y,-x)

E(-6,-4)=E'(-4,6)

F(-4,-4)=F'(-4,4)

G(-2,-6)=G'(-6,2)

H(-7,-7)=H'(-7,7)

Therefore, E prime is (-4,6), F prime is (-4,4), G prime is (-6,2) and H prime is (-7,7).

4 0

2 years ago

Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......

Paraphin [41]

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486

8 0

2 years ago

Silicon wafers are scored and then broken into the many small microchips that will he mounted into circuits. Two breaking method

antoniya [11.8K]

Answer:

The estimate is $- 0.0265\le K \le 0.0465$

Method B this is because the faulty breaks are less

Step-by-step explanation:

The number of microchips broken in method A is $n_1 = 400$

The number of faulty breaks of method A is $X_1 = 32$

The number of microchips broken in method B is $n_2 = 400$

The number of faulty breaks of method A is $X_2 = 32$

The proportion of the faulty breaks to the total breaks in method A is

$p_1 = \frac{32}{400}$

$p_1 = 0.08$

The proportion of the faulty to the total breaks in method B is

$p_2 = \frac{28}{400}$

$p_2 = 0.07$

For this estimation the standard error is

$SE = \sqrt{ \frac{p_1 (1 - p_1)}{n_1} + \frac{p_2 (1- p_2 )}{n_2} } }$

substituting values

$SE = \sqrt{ \frac{0.08 (1 - 0.08)}{400} + \frac{0.07 (1- 0.07 )}{400} } }$

$SE = 0.0186$

The z-values of confidence coefficient of 0.95 from the z-table is

$z_{0.95} = 1.96$

The difference between proportions of improperly broken microchips for the two breaking methods is mathematically represented as

$K = [p_1 - p_2 ] \pm z_{0.95} * SE$

substituting values

$K = [0.08 - 0.07 ] \pm 1.96 *0.0186$

$K = - 0.0265 \ or \ K = 0.0465$

The interval of the difference between proportions of improperly broken microchips for the two breaking methods is

$- 0.0265\le K \le 0.0465$

3 0

3 years ago

Which of the following is the sum of the polynomials 5x^2-4x+1 and -3x^2+x-3??

Katyanochek1 [597]

5x^2-4x+1 + -3x^2+x-3= 2x^2-3x-2

6 0

3 years ago

D'Angelo bought two shirts at a special sale. He paid the full price of $19.99 for one shirt and got a second shirt of the same

Alex

Answer: $2.55

Step-by-step explanation:

He bought the second shirt for half off the first shirt's price. He therefore bought it at:

= 19.99/2

= $10.00

Total paid for both shirts is therefore:

= 19.99 + 10

= $29.99

Sales tax is 8.5% so he paid:

= 29.99 * 8.5%

= ‭2.54915‬

= $2.55

7 0

3 years ago