X/5 +8=3 what would x be

Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or co

Zepler [3.9K]

Answer:

Permutation is used.

No. of arrangements = 1260

Step-by-step explanation:

Permutation is used for choosing & arrangement of 'r' out of 'n' objects, when sequence is important.

Total no. of alphabets in CORRECT = 7

C is repeated twice, R is repeated twice

So, Total No. of arrangements = 7 !

(2!)(2!)

= 5040 / 4

= 1260

5 0

3 years ago

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)

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

$\alpha=0.05$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

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

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

5 0

3 years ago

Write a function rule for the table.

Pavlova-9 [17]

The correct answer is: [C]: " p = 6.25 h " .
______________________________________________________
Explanation:
______________________________________________________

It is clear that "pay" is a function of "hours worked" ;

So, we can eliminate: "Choice [B]: " h = 6.25p" .
______________________________________________________
Try, Choice [A]: " p = h + 12.5 " ; and 14.50 ≠ 12.50 ; (12.50 is the amount shown in the table. So, we can already eliminate "Choice [A]".
_____________________________________________
Now that we have eliminated choices [A] and [B];

we are left with choices: [C] and [D]:
_____________________________________________
Consider choice [C]: " p = 6.25h " ;
 when "h = 2" ; does: "p = 12.5" (as shown on table)?? ;

i.e. " 12.5 =? 6.25 * (2) ?? Yes! This choice is a POSSIBILITY.
_____________________________________________
Consider choice [D]: " p = 12.5h" .

When "h = 2, does "p = 12.5" (as shown on table)? No!
→ We can see from this very answer choice
(the equation itself) that when "h = 2" ;
the value of "p" is DOUBLE [that of "12.5"].
________________________________________________
The correct answer is: Answer choice: [C]: " p = 6.25 h " .
_________________________________________________

6 0

3 years ago

Read 2 more answers

Name the smallest even number divisible by 6 and 9.

Step2247 [10]

Answer:

18

Step-by-step explanation:

5 0

2 years ago

Which statement or inequalities describe the number line graph?

Gennadij [26K]

Answer:

Step-by-step explanation:

( - ∞ , - 3 ) ∪ [ - 1 , ∞ )

4 0

2 years ago