Determine whether each given value of x satisfies the inequality x+1<x/3

Gabriel is performing an experiment in which he is measuring the energy and work being done by a ball rolling down a hill. Descr

kirza4 [7]

Answer:

They will both be recorded in joules.

Step-by-step explanation:

They will both be recorded in joules.

As energy and work both are measured in joules. If we define work it is the force applied on an object as it moves a certain distance and Energy is the ability to do work. Both are closely related because work done on an object can cause a change in energy. Now if a ball is rolling down a hill then there is no frictional loss then its energy will be conserved but the work done by the ball will continuously change.Therefore they will both be measured in joules.

4 0

3 years ago

Solve and explain your reasoning (x+3)=-6

densk [106]

Answer:

(x+3)=-6

x=-6-3

x=-9

Step-by-step explanation:

Hope it helps!

When side changes positive changes into negative.

5 0

3 years ago

Detective pi is having a birthday party for the first baby rhino the cake serves 50 people and cost $120. How much does the cake

irakobra [83]

120/50=2
$2 per person

8 0

4 years ago

The weights of soy patties sold by a diner are normally distributed. A random sample of 25 patties yields a mean weight of 4.2 o

just olya [345]

Answer:

$t=\frac{4.2-4}{\frac{0.5}{\sqrt{25}}}=2$

The degrees of freedom are given by:

$df =n-1=25-1=24$

And the p value would be given by:

$p_v = P(t_{24}>2) =0.0285$

And since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case is significantly hiher than 4. And the claim for this case is not appropiate

Step-by-step explanation:

Data provided

$\bar X=4.2$ represent the sample mean for the weigths

$s=0.5$ represent the sample standard deviation

$n=25$ sample size

$\mu_o =4$ represent the value that we want to analyze

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

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We want to conduct a hypothesis in order to check if the true mean weigth is less than 4 or not, the system of hypothesis would be:

Null hypothesis: $\mu \leq 4$

Alternative hypothesis: $\mu > 4$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{4.2-4}{\frac{0.5}{\sqrt{25}}}=2$

The degrees of freedom are given by:

$df =n-1=25-1=24$

And the p value would be given by:

$p_v = P(t_{24}>2) =0.0285$

And since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case is significantly hiher than 4. And the claim for this case is not appropiate

5 0

3 years ago

Interpret parts of an expression, such as terms, factors, and coefficients

Temka [501]

<span>Expression- arithmetic or algebraic expression (ex, 12, 5 + 3x)
Terms- number of independent items in an expression
Coefficient- number or constant multiplied by a variable (ex. 3x....3 is coefficient)

Equivalent expression- two or more expressions with the same numerical value</span>

3 0

3 years ago