Please help me with this

Ava’s gross pay is $2,500 per month. Her deductions include the following: Federal income tax $290 State income tax $85 Social S

Ilia_Sergeevich [38]

Answer:$1987

Step-by-step explanation:

7 0

4 years ago

The percent, X , of shrinkage o n drying for a certain type of plastic clay has an average shrinkage percentage :, where paramet

never [62]

Answer:

a) $t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744$

The degrees of freedom are given by:

$df=n-1=45-1=44$

The critical value for this case is $t_{\alpha}=1.68$ since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4

b) $p_v =P(t_{(44)}>2.744)=0.0044$

Step-by-step explanation:

Information given

$\bar X=18.4$ represent the sample mean

$s=2.2$ represent the sample standard deviation

$n=45$ sample size

$\mu_o =17.5$ represent the value to verify

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Part a

We want to test if the true mean is higher than 17.5, the system of hypothesis would be:

Null hypothesis: $\mu \leq 17.5$

Alternative hypothesis: $\mu > 17.5$

The statistic is given by:

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

And replacing we got:

$t=\frac{18.4-17.5}{\frac{2.2}{\sqrt{45}}}=2.744$

The degrees of freedom are given by:

$df=n-1=45-1=44$

The critical value for this case is $t_{\alpha}=1.68$ since the calculated value is higher than the critical we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 18.4

Part b

The p value would be given by:

$p_v =P(t_{(44)}>2.744)=0.0044$

5 0

4 years ago

Use one of the triangles to approximate PQ in the triangle below.

s2008m [1.1K]

Answer:

The answer is B 5.4 units

Step-by-step explanation:

4 0

3 years ago

What is 286,330,760,848.37 written in scientific notation???

Harrizon [31]

2.8633076084837 * 10^11

8 0

4 years ago

Read 2 more answers

Solve the system by substitution.<br> 2.5x-3y=-13<br> 3.25x-y=-14

MrMuchimi

Answer:

x=-4

y=1

Step-by-step explanation:

For the given system of equations,

2.5x-3y=-13.....eqn(1)

3.25x-y=-14.....eqn(2)

We first make y the subject of eqn (2)

This implies that,

y=3.25x+14.....eqn(3)

We substitute eqn (3) into eqn (1)

2.5x-3(3.25x+14)=-13

2.5x-9.75x-42=-13

-42+13=9.75x-2.5x

-29=7.25x

Dividing through by 7.25, we obtain

x=-4

We now put the value of x into eqn (2)

3.25(-4)-y=-14

This implies that,

-13+14=y

y=1

4 0

3 years ago