1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetllana [295]
3 years ago
8

Determine slope of any line perpindicular to GH. (-1,2) (-2,-1)

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

Answer:

Perpendicular slope = – 1/m = -1/3 = -1/3

Step-by-step explanation:

Given the points

  • (-1,2)
  • (-2,-1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)

m=\frac{-1-2}{-2-\left(-1\right)}

m=\frac{-1-2}{-2-\left(-1\right)}

m=3

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

perpendicular slope = – 1/m = -1/3 = -1/3

Thus, the slope of any line perpendicular to GH = -1/3

You might be interested in
find the measure of angle A using your correct answer from questions 1 2 or 3 A 45 B 36.9 C 53.1 D 35.2​
Delicious77 [7]

Answer:

about 37, so probably B

Step-by-step explanation:

tg a = 3/4

tg a = 0.75

5 0
2 years ago
52m when m=105 explain this to me please
JulsSmile [24]
52m when m= 105
52(105)
5,460

so you plug in the 105  next to the 52 and you multiply it and get 5,460.
i hope this helped

5 0
2 years ago
Read 2 more answers
Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.
Goshia [24]

Answer:

\sf 2^{(n+1)}

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  \sf \boxed{\bf t_n=ar^{(n-1)}}

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

    a = 4

    r = 8 ÷4 = 2

\sf t_n =4*2^{(n-1)}

    \sf = 4*2^n * 2^{(-1)}\\\\     = 4*2^n*\dfrac{1}{2}\\\\     = 2*2^n

   \sf = 2^{(n+1)}

4 0
1 year ago
Write -6.1 as a mixed number in simplest form.
butalik [34]
-6.1=-(6+1/10)

-6 1/10
8 0
2 years ago
In a sample of 42 burritos, we found a sample mean 1.4 lb and assumed that sigma equals.5. In a test of the hypothesis H subscri
Sergio [31]

Answer:

D. 0.9953 (Probability of a Type II error), 0.0047 (Power of the test)

Step-by-step explanation:

Let's first remember that a Type II error is to NOT reject H0 when it is false, and the probability of that occurring is known as β. On the other hand, power refers to the probability of rejecting H0 when it is false, so it can be calculated as 1 - β.

To resolve this we are going to use the Z-statistic:

                                           Z = (X¯ - μ0) / (σ/√n)

where  μ0 = 1.2

            σ = 5

            n = 42

As we can see in part A of the attached image, we have the normal distribution curve representation for this test, and because this is a two-tailed test, we split the significance level of α=0.01 evenly into the two tails, 0.005 in each tail, and if we look for the Z critical value for those values in a standard distribution Z table we will find that that value is 2.576.

Now we need to stablish the equation that will telll us for what values of X¯ will we reject H0.

Reject if:

Z ≤ -2.576                                                          Z ≥ 2.576

We know the equation for the Z-statistic, so we can substitute like follows and resolve.

Reject if:

(X¯ - 1.2) / (5/√42) ≤ -2.576                          (X¯ - 1.2) / (5/√42) ≥ 2.576

X¯ ≤ -0.79                                                         X¯ ≥ 3.19

We have the information that the true population mean is 1.25, so we now for a fact that H0 is false, so with this we can calculate the probability of a Type II error:  P(Do not reject H0 | μ=1.25)

As we can see in part B of the attached image, we can stablish that the type II error will represent the probability of the sample mean (X¯) falling between -0.79 and 3.19 when μ=1.25, and that represents the shaded area. So now we now that we are looking for P(-0.79 < X¯ < 3.19 | μ=1.25).

Because we know the equation of Z, we are going to standardize this as follows:

P ( (-0.79 - 1.25) / (5/√42) < Z <  (3.19 - 1.25) / (5/√42) )

This equals to:

P(-2.64 < Z < 2.51)

If we go and look for the area under the curve for Z positive scores in a normal standart table (part C of attached image), we will find that that area is 0.9940, which represents the probability of a Type II error.

Therefore, the power of the test will be 1-0.9940 = 0.006

If we look at the options of answers we have, there is no option that looks like this results, which means there was a probable redaction error, so we are going to stay with the closest option to these values which is option D.

3 0
3 years ago
Other questions:
  • JANES SNOWCONE STAND WENT THROUGH 7 1/12 bags of ice in the first hour it was open and 10 1/2 of ice second hour . How much ice
    11·1 answer
  • On every three hamburgers that McDonald's makes, they use 9 pickles write the ratio in simplest form.How many pickles would they
    10·1 answer
  • the variables a and B are positive numbers. drag and drop each coordinate point to match the correct quadrant.
    15·1 answer
  • Multiply 6 and the reciprocal of the quotient of a number and 7
    12·1 answer
  • Helpp pleaseeee i will make brainliest!
    13·2 answers
  • The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second numbe
    15·1 answer
  • Explain why triangle ABC is isoceles. ​
    9·1 answer
  • Suppose that 11 inches of wire costs 33 cents. At the same rate, how many inches of wire can be bought for 18 cents?
    13·2 answers
  • D<br>Convert (24) 10 to binary​
    5·1 answer
  • The revenue, in thousands of dollars, of a new flavor of liquor is given below as function of the number of gallons (in hundreds
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!