What is 3m < -12 if someone can please answer me

Consider the following expression and determine which statements are true.

Galina-37 [17]

Answer:

13

Step-by-step explanation:

ik i took the test

5 0

3 years ago

Which of the following ordered pairs is a possible solution to the equation y=1/2x+3 ?

GaryK [48]

Y=3 The answer is a.

5 0

3 years ago

A plain pizza cost $8.35. Additional toppings cost $0.95 each. Which equation can be used to represent the cost of a pizza, y, w

Yakvenalex [24]

Answer: y=0.95x+8.35

Step-by-step explanation: Hi there.

We can use the equation y=mx+b, where

y=the result (in this case the cost of the pizza)

m=the slope (how much each topping costs)

x=input value (how many kinds of toppings the pizza has)

b=initial value (how much the plain pizza costs)

The toppings cost $0.95, and the value of the plain pizza is $8.35

So the equation is: y=0.95x+8.35.

Have a nice day! :)

7 0

3 years ago

Harold found a job through a friend that works in HR for a large company. The job pays a yearly salary of $39K. What is the week

never [62]

Answer:

Weekly salary of Harold = $750 (Approx.)

Step-by-step explanation:

Given:

Annual salary of Harold = $39K = $39,000

Find:

Weekly salary of Harold

Computation:

Number of weeks in a year = 365 / 7

Number of weeks in a year = 52.1425

Number of weeks in a year = 52 week (Approx.)

Weekly salary of Harold = Annual salary of Harold / Number of weeks in a year

Weekly salary of Harold = 39,000 / 52

Weekly salary of Harold = 750

Weekly salary of Harold = $750 (Approx.)

3 0

3 years ago

The tensile strength of a fiber used in manufacturing cloth is of interest to the purchaser. Previous experience indicates that

yaroslaw [1]

Answer:

a) $z=\frac{127-125}{\frac{2}{\sqrt{8}}}=2.828$

Since is a one-side upper test the p value would be:

$p_v =P(z>2.828)=1-P(z$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and we can conclude that the true mean is higher than 125

b) We select a one sided interval since the interest is in analyze if the true mean is higher than 125, and then the alternative hypothesis needs to be the alternative hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=127$ represent the mean for the sample

$\sigma=2$ represent the standard deviation for the population

$n=8$ sample size

$\mu_o =125$ represent the value that we want to test

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

z would represent the statistic (variable of interest)

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

Part a

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is higher than 125:

Null hypothesis: $\mu = 125$

Alternative hypothesis: $\mu > 125$

We know the population deviation, so for this case 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:

$z=\frac{127-125}{\frac{2}{\sqrt{8}}}=2.828$

Calculate the P-value

Since is a one-side upper test the p value would be:

$p_v =P(z>2.828)=1-P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and we can conclude that the true mean is higher than 125

Part b

We select a one sided interval since the interest is in analyze if the true mean is higher than 125, and then the alternative hypothesis needs to be the alternative hypothesis.

5 0

3 years ago