MATHEMATICS HIGH SCHOOL

Which pattern could be used to create the sequence?400, -200, 100, -50, 25
a) Multiply the previous term by -2
b) Divide the previous term by -2
c) Subtract 600 from the previous term
d) Add -200 to the previous term

Answers

Answer 1
Answer: As you are given multiple choice, you can use trial and error with each of the answers. You can see that with each number the sign before it is reversed (so it goes even, odd , even , odd etc.) and the numbers are halved each time. 
The answer is B) because you are dividing by 2 each time, and changing the sign before the number.
Answer 2
Answer: The answer would be b. It is b because if you do 400 divided by -2 is -200 and then you just keep dividing by -2

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Demonstrate using your own unique example how to divide a segment by a given ratio.

3. What is the algebraic expression for the following word phrase: the quotient of x and 2y?

Answers

Answer:

x/2y

Step-by-step explanation:

quotient-division

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts​ (a) through​ (f) below.

Answers

Answer:

The answer is given below

Step-by-step explanation:

a) What is the probability that a randomly selected pregnancy lasts less than 242 days

First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:

z=(x-\mu)/(\sigma)

Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,

z=(x-\mu)/(\sigma)=(242-247)/(16)=-0.31

From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783

(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

If a sample of 17 pregnancies is obtained, the new mean \mu_x=\mu=247, the new standard deviation: \sigma_x=\sigma/√(n) =16/√(17) =3.88

c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less

z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(17) )=-1.29

From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985

d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?

z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(49) )=-2.19

From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143

(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?

It would be unusual if it came from mean of 247 days

f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean

For x = 236 days

z=(x-\mu)/(\sigma/√(n) )=(236-247)/(16/√(20) )=-3.07

For x = 258 days

z=(x-\mu)/(\sigma/√(n) )=(258-247)/(16/√(20) )=3.07

From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939

Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age? A. z = x + y − 2; x represents Micah's age, y represents Becky's age, and z represents Jacob's age B. x = y + z + 2; x represents Jacob's age, y represents Micah's age, and z represents Becky's age C. x = 2 + y + z; x represents Becky's age, y represents Jacob's age, and z represents Micah's age D. y = x + z − 2; x represents Jacob's age, y represents Becky's age, and z represents Micah's age

Answers

The equation that represents Jacob's age is  x = y + z + 2

From the question, the following information was provided :

Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.

This above information can be represented with the equation below

Jacob = 2 + ( Becky + Micah) (equation 1)

If :

x represents Jacob's age

y represents Micah's age

z represents Becky's age

Equation 1, can be rewritten as x = y + z + 2

Micah's age can be determined by making Micah the subject of the formula in the above equation

Micah = Jacob - Becky - 2   (equation 2)

If :

x represents Micah's age

y represents Becky's age

z represents Jacob's age

Micah's age can be rewritten as :

x = z - y - 2

Becky's age  age can be determined by making Becky the subject of the formula in the first equation.

Becky = Jacob - Micah - 2 (equation 3)

If:

x represents Becky's age

y represents Jacob's age

z represents Micah's age

Equation 3 can be rewritten as :

x = y - z - 2

Check here for a related question : brainly.com/question/21843246?referrer=searchResults

Using a system of equations, it is found that the correct equation is given by:

x = y + z + 2, which is option B.

---------------

  • Jacob's age is given by x.
  • Becky's age is given by y.
  • Micah's age is given by z.
  • Considering that Jacob's is 2 years older than Becky's and Micah's combined, which is of y + z, his age is represented by the following equation:

x = y + z + 2

Which is given by option B.

A similar problem is given at brainly.com/question/24233433

Evaluate the expression when r = 8.2 and s = –3.7. r – 2s
a. –22.94
b. 0.8
c. 4.5
d. 15.6

Answers

When you plug in the numbers for the integers, you get
8.2-2(-3.7)
If you multiply -2 and -3.7, you get 7.4 because the negatives cancel each other out.
If you then add 8.2, you get 15.6. So the answer is D.
Hope it Helps!  :)

what is the rate of change for the linear relationship modeled in the table? x y −1 10 1 9 3 8 5 7 -1/2 0 1/2 2

Answers

Answer:

Rate of change for the linear relationship modeled is (-1)/(2)

Step-by-step explanation:

As the there is a linear relationship in the points, so all these points will be on a single straight line. Hence the slope will be same throughout all the points.

We know that, the slope of the line joining (x₁, y₁) and (x₂, y₂) is,

m=(y_2-y_1)/(x_2-x_1)

Putting the points as (-1, 10) and (1, 9), we get

m=(9-10)/(1-(-1))

=(9-10)/(1+1)

=(-1)/(2)

Rate of change is the slope of the line joining all these points.
(-1,10)(1,9)
slope = (9 - 10) / (1 - (-1)
slope = -1/2 <=== slope is also ur rate of change

Person A speaks the truth 88% of the time. The probability of person B speaking the truth on an occasion that person A also speaks the truth is 43%. What is the probability that person A speaks the truth, but person B lies?

Answers


we are given the probability that is 88% of  person A speaking the truth. The probability of person B speaking the truth on an occasion that person A also speaks the truth is 43%. This means the probability that person A speaks the truth, but person B lies 0.88*(1-0.43) equal to 0.5016
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