3 years ago

(02.06 LC)

Mathematics

2 answers:

Alona [7]3 years ago

8 0

B. < 1 and < 2 are congruent because they are corresponding angles

marta [7]3 years ago

3 0

Correct answer is B

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Please solve this question

blsea [12.9K]

Answer:

x = 269/15

Step-by-step explanation:

(3x - 5) / 6 - (4 + x) / 7 = 5

7(3x - 5) - 6(4 + x) = 5(42)

21x - 35 - 24 - 6x = 210

15x - 59 = 210

15x = 269

x = 269/15

8 0

2 years ago

An arithmetic sequence who's first term is -10 and the common difference is -2.

True [87]

-10,-12,-14,-16,-18......

6 0

3 years ago

The daily revenues of a cafe near the university are approximately normally distributed. The owner recently collected a random s

lbvjy [14]

Answer:

The sample size to obtain the desired margin of error is 160.

Step-by-step explanation:

The Margin of Error is given as

$MOE=z_{crit}\times\dfrac{\sigma}{\sqrt{n}}$

Rearranging this equation in terms of n gives

$n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2$

Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as

$n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n$

As n is given as 40 so the new sample size is given as

$n_2=4n\\n_2=4*40\\n_2=160$

So the sample size to obtain the desired margin of error is 160.

4 0

4 years ago

A bag contains green tokens and black tokens. There are 24 green tokens in the bag. The ratio of green tokens to black tokens is

AURORKA [14]

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

8 0

3 years ago

100m world record was completed at an average speed of 37.6 km/h. work out this speed in meters per second?

pickupchik [31]

Step-by-step explanation:

1 km = 1000 m

1 hour = 3600 s

so,

37.6 km = 37,600 m (still per hour or per 3600 s).

in 1 second now that is

37600/3600 = 10.44444444... m/s

4 0

2 years ago