Plz help me im stuck

Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit

NeTakaya

Answer:

Pressure is 80,000 pascals.

Step-by-step explanation:

Area:

$= { \bf{ 30 \times {10}^{ - 4} \: {m}^{2} }}$

Pressure:

${ \bf{pressure = \frac{force}{area} }} \\ \\ { \tt{ = \frac{240}{30 \times {10}^{ - 4} } }} \\ = { \tt{80000 \: pascals}}$

4 0

2 years ago

Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa

blagie [28]

Answer:

$z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9$

$p_v =P(z>1.9)=0.0287$

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 have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=12.95$ represent the sample mean

$\sigma=3$ represent the population standard deviation for the sample

$n=36$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:

Null hypothesis: $\mu \leq 12$

Alternative hypothesis: $\mu > 12$

Since we know the population deviation, 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:

$z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9$

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>1.9)=0.0287$

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 have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.

4 0

3 years ago

Read 2 more answers

CAN SOMEONE PLS HELP MEEEEEEE

k0ka [10]

9514 1404 393

Answer:

6x +y = -6
6x -y = 8
5x +y = 13

Step-by-step explanation:

To rewrite these equations from point-slope form to standard form, you can do the following:

eliminate parentheses
subtract the x-term
subtract the constant on the left
if the coefficient of x is negative, multiply by -1

Of course, any operation you do must be done to both sides of the equation.

__

1. y -6 = -6(x +2)

y -6 = -6x -12 . . . . . eliminate parentheses

6x +y -6 = -12 . . . . . add 6x

6x +y = -6 . . . . . . . . add 6

__

2. y +2 = 6(x -1)

y +2 = 6x -6

-6x +y +2 = -6

-6x +y = -8

6x -y = 8 . . . . . . . . multiply by -1

__

3. y -3 = -5(x -2)

y -3 = -5x +10

5x +y -3 = 10

5x +y = 13

_____

Additional comment

The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.

7 0

2 years ago

Solve this system of equations using the graphing method please y=-1/3x+5 y=-2x

Marizza181 [45]

Graph the equations and locate the intersection.
(-3,6)

5 0

3 years ago

What ordered pair represents the y -intercept of the graph of x+y=10

ExtremeBDS [4]

X+y=10 in y-intercept is y=-x+10. 10 is the y intercept. The ordered pair is (0, 10)

3 0

3 years ago

Read 2 more answers