Rewrite this statement: 8x2+5=56 with one pair of brackets to make it correct.

Match the following STATEMENTS to the reasons listed. NOTE: In a traditional proof format, the statements would be on the left s

klio [65]

1. RM = SN, TM = TN Addition Property of Equality

2. ∠T = ∠T Reflexive

3. RM + TM = SN + TN Substitution

4. RM + TM = RT, SN + TN = ST Betweeness

5. RT = ST CPCTE

6. Triangle RTN congruent to Triangle STM Given

7. RN = SM SAS

5 0

2 years ago

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What is the decimal multiplier to decrease by 0.6%?

Zielflug [23.3K]

Step-by-step explanation:

0.6/100= 0.006 should be multiplied to decrease by 0.6%

6 0

2 years ago

A manufacturing company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile st

maxonik [38]

Answer:

$z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413$

$p_v =2*P(z>1.413)=0.158$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

Step-by-step explanation:

Data given and notation

$\bar X=5.0611$ represent the sample mean

$\sigma=0.2803$ represent the population standard deviation for the sample

$n=42$ sample size

$\mu_o =5$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 5, the system of hypothesis would be:

Null hypothesis: $\mu = 5$

Alternative hypothesis: $\mu \neq 5$

If we analyze the size for the sample is > 30 but and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{5.0611-5}{\frac{0.2803}{\sqrt{42}}}=1.413$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z>1.413)=0.158$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the average tensile strength is different from 5lbs/mm at 10% of signficance

8 0

2 years ago

Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the dail

rodikova [14]

Answer:

the coeffiectans is 100

Step-by-step explanation:

4 0

2 years ago

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Company B Loses $1,575 for every employee who quit before 90days, What what is the total amount the company will lose if 2 emplo

Sergeu [11.5K]

Answer: The total amount is $4,725.

Step-by-step explanation:

1. Based on the information given in the problem, when an employee quit before 90 days, the company loses $1,575.

2. Then, the number of employees that quit before 90 days were:

$(2+1)=3$ employees

3. To calculate the total amount that the company will lose if these 3 employees quit before 90 days, you must multiply 3 employees by $1,575, as following:

$total=(3)(1,575dollars)\\total=4,725dollars$

4. The result is $4,725.

5 0

2 years ago