MATHEMATICS COLLEGE

Please what is the answer of number 1

Answers

Answer 1

Answer:

Answer:

-80

Step-by-step explanation:

First you multiply both sides of the equation by 5 to get rid of the fraction, it becomes Y + 30 = -50.

To get rid of the 30 you subtract 30 from each side and that makes it Y = -80.

Your answer does not want the Y=, so your answer is -80.

If this helps, please mark it Brainliest :)

Logarithm

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c=b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

$\rm{log\ 1000 = 3$

Given to us

log a = 3,

log b = 4,

log c = -1,

Logarithm Values

log a = 3

$10^3 = a\n1000 = a\na=1000$

lob b = 4,

$10^4=b\n10000=b\nb=10,000$

log c = -1,

$10^(-1) = c\n\n(1)/(10) = c\n\nc = 0.1$

Simplifying

$\rm{log(b^7)/(a^5c^6)\n$

$=\rm{log(10,000^7)/(1,000^5* 0.1^6)\n$

$=\rm{log 10^(19)$

Hence, the value of $\rm{log\ 10^(19)$ is 19.

Answer:

Step-by-step explanation:

Given:

$(b^7)/(a^5c^6)$

log a = 3,

log b = 4,

log c = -1

Required:

Numerical value of the log expression

SOLUTION:

To solve this, we need to recall the rules to apply in each step:

$(b^7)/(a^5c^6)$

Step 1: Apply log of quotients => i.e. $log (a)/(b) = log(a) - log(b)$

$log(b^7) - (log(a^5c^6))$

Step 2: Apply log of products. i.e. log ab = log a + log b.

$log(b^7) - (log(a^5) + log(c^6))$

Step 3: Apply log of exponents. i.e. $log(a^n) = nlog(a)$ .

$7log(b) - (5log(a) + 6log(c))$

Step 4: Substitute log a = 3, log b = 4, log c = -1, into the equation.

$7(4) - (5(3) + 6(-1))$ .

$28 - (15 - 6)$ .

$28 - 9$ .

$= 19$ .

Assume a significance level ofα=0.05

and use the given information to complete parts (a) and (b) below.Original claim:

LessLess

than

51%

of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of

0.0148

a. State a conclusion about the null hypothesis. (Reject

Upper H 0H0

or fail to reject

Upper H 0H0.)

Choose the correct answer below.

A.

RejectReject

Upper H 0H0

because the P-value is

less than or equal toless than or equal to

alphaα.

B.

RejectReject

Upper H 0H0

because the P-value is

greater thangreater than

alphaα.

C.

Fail to rejectFail to reject

Upper H 0H0

because the P-value is

greater thangreater than

alphaα.

D.

Fail to rejectFail to reject

Upper H 0H0

because the P-value is

less than or equal toless than or equal to

alphaα.

b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?

A.

The percentage of adults that would erase all of their personal information online if they could is

lessless

than or equal to

51%.

B.

There

isis

sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is

moremore

than

51%.

C.

The percentage of adults that would erase all of their personal information online if they could is

moremore

than

51%.

D.

There

is notis not

sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is

moremore

than

51%.

Answers

Answer:

Part a: The correct answer is A, reject H0 because p value is less than $\alpha$ . Part B: The correct answer is C, the percentage of adults that would erase their personal information online if they could is more than 51%.

Step-by-step explanation:

part a. The essential idea of hypothesis testing in statistics is to evaluate the probability p (p value) of some representative parameter, compared to a level of likelihood that is set before starting the test ( $\alpha$ ). In this case, we are interested in a level of likelihood $\alpha=0.05$ , which means that if the probability of the parameter is less than 5%, we will reject the hypothesis that this parameter is representing, since it's so unlikely. Of course, the significance level is arbitrary and must be payed attention, according to the particular situation. Therefore, the correct anser is A.

part b. Since we rejected the hypothesis to a 5% significance level, we reject the fact that less than 51% of adults would erase their personal information online if they could. This is equivalent to saying that a percentage of adults equal to or more than 51% would erase their personal information if they could, which is answer C.

Final answer:

We should reject the null hypothesis because the P-value is less than the significance level. This provides statistically significant evidence to support the claim that less than 51% of adults would erase all of their personal information online if they could.

Explanation:

The questions relate to hypothesis testing in Statistics, which is a tool to make inferences about a population parameter based on a sample's observation.

a. In hypothesis testing, a P-value is the probability that the observed data would occur under the null hypothesis. If the P-value is less than or equal to the significance level α, we reject the null hypothesis. In this case, the P-value is 0.0148, which is less than the significance level α=0.05. Therefore, we should Reject the null hypothesis. The correct answer is A.

b. Since we rejected the null hypothesis, we have evidence to support the alternate hypothesis. In this context, the original claim was that less than 51% of adults would erase all of their personal information online if they could. The test result provides statistically significant evidence to support the original claim. Therefore, the correct conclusion is A.

Learn more about Hypothesis Testing here:

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133 * what gets you to 432 1/4

Answers

Answer:

3 1/4

Step-by-step explanation:

You can do a equation:

133x=432 1/4

Which would give you 3.25 but in fraction form it is 3 1/4

Hope this helped!

A floor plan is drawn using a scale of (3 cm)/(15ft) What length is represented by 1 centimeter ?

Answers

Answer:

5 feet per 1 cm

Step-by-step explanation:

Answer:

The answer is 5 feet.

Step-by-step explanation:

Set up a proportion.

3/15 = 1/x (x being the number of feet)

Cross multiply.

3x = 15

Solve for x. (divide both sides by 3)

x = 5

I hope this helps! :)

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Please what is the answer of number 1

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Logarithm

Given to us

Logarithm Values

Simplifying

Answers

Final answer:

Explanation:

Learn more about Hypothesis Testing here:

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