HELPPPPSSSSSS MEEE (15 POINTS)

Which values of P and Q result in an equation with no solutions?

Ad libitum [116K]

Try this solution/explanation:

way 1:

rule: for an equation where no roots P+Q=0. It means, Px-Qx=0, ⇔ x(P-Q)=0, ⇔ P=Q.

for answer 'D' P=Q=15.

way 2:

rule: if an equation of the line has a form y=kx+b, then y₁||y₂ if k₁=k₂. It means, for y₁=Px-45 || y₂=Qx+75, then P=Q. P=Q, if 'D' answer.

Answer: D

3 0

3 years ago

They numbers 2,5 or ___ are numbers that would make 34,? 21 divisible by 3.

Nikitich [7]

Answer:

The numbers 2, 5 or 27

Step-by-step explanation:

The sum of those three numbers is 34. 2+5+27=34

Oh and 21 divided by 3 is 7

5 0

3 years ago

Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to do its route and bus B takes 35 minutes to complete its r

DaniilM [7]

Answer:

8:30 pm

Step-by-step explanation:

step 1

Decompose the numbers in prime factors

$30=(2)(3)(5)\\35=(5)(7)$

step 2

Find the LCM

The LCM of 30 min and 35 minutes will be given as

$LCM=(2)(3)(5)(7)=210\ min$

step 3

Adds 210 minutes to the starting time

First, converting 210 minutes to hours

Remember that

$1\ h=60\ min$

will need dividing 210 by 60

$210/60=3.5\ h$

therefore

5:00 pm+3.5 h=8:30 pm

7 0

3 years ago

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales

andrezito [222]

Answer:

$t=\frac{44-42}{\frac{1.9}{\sqrt{40}}}=6.657$

$p_v =P(t_{(39)}>6.657)=3.17x10^{-8}$

If we compare the p value and the significance level given $\alpha=0.01$ 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 42 at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=44$ represent the sample mean

$s=1.9$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =42$ represent the value that we want to test

$\alpha=0.01$ 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 mean is higher than 42, the system of hypothesis would be:

Null hypothesis: $\mu \leq 42$

Alternative hypothesis: $\mu > 42$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

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

t-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:

$t=\frac{44-42}{\frac{1.9}{\sqrt{40}}}=6.657$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=40-1=39$

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

$p_v =P(t_{(39)}>6.657)=3.17x10^{-8}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ 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 42 at 1% of signficance.

3 0

3 years ago

The diameter of a circle is 6 cm. About how long is the circumference of the circle?

IgorLugansk [536]

Answer:

The circumference is about 19 centimeters.

Step-by-step explanation:

The formula for finding the circumference of a circle is $2\pi r$ or simply $\pi d$ .