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Murljashka [212]
2 years ago
14

Solve the equation 0.2 = -20a

Mathematics
2 answers:
iVinArrow [24]2 years ago
5 0

Answer:

a=-0.01

Step-by-step explanation:

Divide by -20 on both sides:

0.2/-20=-20a/-20

which will be:

-0.01=a

Nataly_w [17]2 years ago
5 0

Answer:

a=−0.01

Step-by-step explanation:

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At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students pl
Sophie [7]

Answer:

9/11

Step-by-step explanation:

Well we know there are 55 students in total and only 45 of them can either play a string or brass instrument.

So 45/55 is 9/11

Thus probably is 9/11 of a randomly selected student who plays either a string or brass.

5 0
2 years ago
PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P
g100num [7]

The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

y = 1.444x + C

-8 = 1.444 (-3) + C

C = -3.667

Then the equation will be

y = 1.444x – 3.667  …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

7 = -2 (5) + D

D = 17

Then the equation will be

y = -2x + 17  …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

6 0
2 years ago
Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the
Levart [38]

Answer: Choice A.)   88.2 < μ < 93.0

=============================================================

Explanation:

We have this given info:

  • n = 92 = sample size
  • xbar = 90.6 = sample mean
  • sigma = 8.9 = population standard deviation
  • C = 99% = confidence level

Because n > 30 and because we know sigma, this allows us to use the Z distribution (aka standard normal distribution).

At 99% confidence, the z critical value is roughly z = 2.576; use a reference sheet, table, or calculator to determine this.

The lower bound of the confidence interval (L) is roughly

L = xbar - z*sigma/sqrt(n)

L = 90.6 - 2.576*8.9/sqrt(92)

L = 88.209757568781

L = 88.2

The upper bound (U) of this confidence interval is roughly

U = xbar + z*sigma/sqrt(n)

U = 90.6 + 2.576*8.9/sqrt(92)

U = 92.990242431219

U = 93.0

Therefore, the confidence interval in the format (L, U) is approximately (88.2, 93.0)

When converted to L < μ < U format, then we get approximately 88.2 < μ < 93.0 which shows that the final answer is choice A.

We're 99% confident that the population mean mu is somewhere between 88.2 and 93.0

7 0
2 years ago
Find the sum of the first 9 terms of the sequence. Show all work for full credit.
Kamila [148]
We can see the sequence goes by decreasing 9 on each number

so the numbers are

2, -7, -16, -25, -34, -43, -52, -61, -70

so adding all these numbers we get

2-7-16-25-34-43-52-61-70

= -306


hope this helped
6 0
3 years ago
I think I need to find x
ozzi

Answer:

-6

Step-by-step explanation:

the x value is just plugging that number in for x so

-3x-8=10 (add 8 to both sides) so

-3x=18 (divide by -3 on both sides) so

x=-6

7 0
3 years ago
Read 2 more answers
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