MATHEMATICS COLLEGE

Select all the correct answers.Which expressions are equivalent to the given expression.
y^-8y^3x^0x^-2​

Answers

Answer 1
Answer:

Answer:

x^(-2)y^(-5)

Step-by-step explanation:

The options are not given; however, the question can still be solved

Given

y^(-8)y^3x^0x^-2

Required

Simplify

Start by rewriting the expression

y^(-8) * y^3 * x^0 * x^(-2)

Apply the following laws of indices: a^x * a^y = a^(x+y)

This gives:

y^(-8+3) * x^(0-2)

Evaluate the exponents

y^(-5) * x^(-2)

x^(-2)y^(-5)

Hence, x^(-2)y^(-5) is equivalent to y^(-8)y^3x^0x^-2
Answer 2
Answer:

The expression which is equivalent to the exponential equation is x^(-2)y^(-5).

Given data:

The exponential form is an easier way of writing repeated multiplication involving base and exponents. It has a base and a power

The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.

The exponential expression is represented as y^(-8)y^(3)x^(0)x^(-2).

From the laws of exponents:

m^(a)*m^(b)= m^(a+b)

(m^(a))/(m^(b))= m^(a-b)

So, the expression is simplified as:

y^(-8)y^(3)x^(0)x^(-2)=x^(-2)y^(-5)

Hence, the equivalent expression is x^(-2)y^(-5).

To learn more about exponents, refer:

brainly.com/question/28966438

#SPJ3

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A trust is an agreement whereby a person or bank manages the estate according to the specific directions of the owner of the estate. True False

Answers

Answer:

false

Step-by-step explanation:

No its held ny you or someone else

Answer:

False

Step-by-step explanation:

This graph shows the distance that a robot walks. What is the robot’s speed?

Answers

Answer:

D. 30 feet per minute

Step-by-step explanation:

If you follow the x-axis (time) you see 1 minute as you go up the y-axis (distance) you see that 1 and 30 connect, therefore you get 30 feet per minute.

Answer:

30 feet per minute

Step-by-step explanation:

its very slow therefore it takes a lot of time

What is 75miles/hr in feet/second?(1mile = 5280feet)

Answers

Answer:

110 feet/sec

Step-by-step explanation:

75 miles x 5280 feet

= 396000

396000/60 min

=6600

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=110 feet/second

Does anyone have the answer for question 18?

Answers

Answer:

adef

Step-by-step explanation:

The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 261.5 and a standard deviation of 67.4 . ​(All units are 1000 ​cells/​μL.) Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the​ mean, or between 194.1 and 328.9 ​? b. What is the approximate percentage of women with platelet counts between 59.3 and 463.7 ​?

Answers

To solve this problem using the empirical rule, we will use the following percentages:

- Approximately 68% of the data falls within 1 standard deviation of the mean.
- Approximately 95% of the data falls within 2 standard deviations of the mean.
- Approximately 99.7% of the data falls within 3 standard deviations of the mean.

a. To find the approximate percentage of women with platelet counts within 1 standard deviation of the mean, we can use the 68% rule. Since 194.1 is 1 standard deviation below the mean, and 328.9 is 1 standard deviation above the mean, we can say that approximately 68% of the women have platelet counts within this range.

b. To find the approximate percentage of women with platelet counts between 59.3 and 463.7, we can use the 95% rule. Since 59.3 is 2 standard deviations below the mean, and 463.7 is 2 standard deviations above the mean, we can say that approximately 95% of the women have platelet counts within this range.

A hypothesis will be used to test that a population mean equals 7 against the alternative that the population mean does not equal 7 with known variance σ. What are the critical values for the test statistic Upper Z Subscript 0 for the significance level of 0.04? Round your answer to two decimal places (e.g. 98.76).

Answers

The upper critical value z₀ of the hypothesis is 2.05.

How to explain the hypothesis?

From the information given, it can be noted that this is a two-sided test. In this case, the critical values are the values of z that determine the boundaries of whether one should reject the null hypothesis or shouldn't.

Since the significance level is 0.04, it simply implies that there is a p-value of 0.02. Then, the next thing is to check the normal distribution table, and this corresponds to the z value of 2.05.

In conclusion, the correct option is 2.05.

Learn more about hypothesis on:

brainly.com/question/606806

Answer:

The upper critical value z₀ is 2.05.

Step-by-step explanation:

For a two-sided test like this (the mean can be significantlt greater or smaller than 7 to reject the null hypothesis), the critical values are the values of z that determine the boundaries of rejecting or not the null hypothesis.

If the significance level is 0.04, it means that there is a P-value of 0.02 for z larger than the upper critical value z₀.

P(z>z_0)=\alpha /2= 0.02

If we look up in a normal distribution table, the z value that corresponds to this probability is z=2.05.
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