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3 years ago

HELP ASAP!! Justify the answer to the equation by explaining the steps you took.

Mathematics

1 answer:

babymother [125]3 years ago

3 0

Step-by-step explanation:

Given: 2x-6=5x+18

step 2 : the subtraction property of equality

step 4: the addition propert of equality

step 5: the division propert of equality

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A company decided to test the hypothesis that the average time a company’s employees are spending to check their private e-mails

Degger [83]

Answer:

$z=\frac{6.6-6}{\frac{1.7}{\sqrt{40}}}=2.232$

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

$p_v =P(z>2.232)=0.0128$

Step-by-step explanation:

Data given and notation

$\bar X=6.6$ represent the sample mean

$\sigma=1.7$ represent the population standard deviation

$n=40$ sample size

$\mu_o =6$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t 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 true mean is higher than 6minutes or no, the system of hypothesis would be:

Null hypothesis: $\mu \leq 6$

Alternative hypothesis: $\mu > 6$

If we analyze the size for the sample is > 30 and we know the population deviation so 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:

$z=\frac{6.6-6}{\frac{1.7}{\sqrt{40}}}=2.232$

P-value

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

$p_v =P(z>2.232)=0.0128$

5 0

3 years ago

Which of the following is false for the hyperbola (x+5)^2/4^2 - (y-2)^2/3^2=1

disa [49]

Answer:

C)One of the vertices is (-10,2)

Step-by-step explanation:

Given the hyperbola: $\dfrac{(x+5)^2}{4^2} -\dfrac{ (y-2)^2}{3^2} =1$

The standard equation for a hyperbola with a horizontal transverse axis is:

$\dfrac{(x-h)^2}{a^2} -\dfrac{ (y-k)^2}{b^2} =1$ where the center is at (h, k).

For our given hyperbola, the center (h,k)=(-5,2)

Now:

$c^2=a^2+b^2\\c^2=4^2+3^2\\c^2=25\\c=5$

Since the center is at (-5,2), its foci (-c,0) and (c,0) are:

(-5-5,2) and (-5+5,2)= (-10,2) and (0,2)

Similarly, since the center is at (-5,2), its vertices, (-a,0) and (a,0) are:

(-5-4,2) and (-5+4,2)= (−9,2), (−1,2).

Therefore, the odd option is C.

3 0

3 years ago

The inverse of p q is: pq pq qp pq qp

Galina-37 [17]

Hi there!

The inverse of pq is qp.
qp is the opposite of pq.

Hope this helps!

7 0

3 years ago

A store is having a sale on trail mix and jellybeans for 3 pounds of trail mix and 5 pounds of jellybeans the total cost is $23

just olya [345]

Answer:

The jelly beans cost $2.25 / pound

The trail mix costs $1.25 / pound

Step-by-step explanation:

I just took the test.

4 0

3 years ago

Solve each inequality. Graph the solution on a on a number line.<br> p-7/12>3/10

Dovator [93]

Answer:

so to solve an inequality you just treat the inequaltity sign like an equals sign except if you multiply by negative 1 you flip the direction of the sign.

p-7/12>3/10

add 7/12 to both sides

p>7/12+3/10

p>35/60+18/60

p>53/60

so if you had to graph this on a number line you would have an open circle on 53/60 and an arrow coming off pointing to the right

Step-by-step explanation:

3 0

2 years ago