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2 years ago

Help! Please!

Mathematics

1 answer:

Lemur [1.5K]2 years ago

7 0

Answer:

1) 130°

2) 130°

Step-by-step explanation:

Assuming SR, TU, and PQ are parallel, they would both be 130. (180-50)

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andre rode his bike at a constant speed he rode 1 mile in 5 minutes which of these equations represents the amount of time in mi

Alex777 [14]

We are given

Andre rode his bike at a constant speed he rode 1 mile in 5 minutes

Firstly, we will find constant speed

In 5 minutes , distance travelled =1 miles

so, we get speed

$v=\frac{1}{5} mile/min$

Let's assume T is time in minutes

D is the distance in miles

we know that

$Time=\frac{Distance}{speed}$

so, we can plug value

and we get

$T=\frac{D}{\frac{1}{5} }$

so, we get

$T=5D$ ...............Answer

3 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

2 years ago

In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number valu

Alina [70]

Answer: 2584

Step-by-step explanation:

We can find N with 2584 and 4181.

4181 - 2584

= 1597

We can also check our answer by adding 1597 and 987

1597 + 987

= 2584

5 0

2 years ago

How to turn .9% into ratio

leonid [27]

Answer:

9:100

Step-by-step explanation:

Turn 9% into a fraction by putting it over a hundred:

9/100

Then simply change the '/' into ':'

If this were another fraction, let's say, 4/6, then you'd put it in simplest form, which is 2/3 = 2:3

6 0

2 years ago

give an example of a convergent infinite series whose sum equal 3/5. explain how you know your series converges and write out wo

krek1111 [17]

Answer:

The series 1/5, 2/15, 4/45, 8/135... converges and sums up to 3/5

Step-by-step explanation:

Consider the infinite geometric series

1/5, 2/15, 4/45, 8/135...

With first term, a=1/5

common ratio, r = ⅔

The series converge because the common ratio, |r|<1.

The sum to infinity of a geometric series, S= a/(1-r)

S= 1/5 ÷ (1-⅔) = 1/5 ÷ 1/3 = 3/5

Therefore, the geometric series 1/5, 2/15, 4/45, 8/135... sums up to 3/5.

5 0

3 years ago